SmallDoge/decay_dataset_processed · Datasets at Hugging Face

input_ids sequencelengths 1 2.05k	attention_mask sequencelengths 1 2.05k
[ 0, 11947, 268, 26660, 6052, 631, 2678, 20111, 338, 609, 14847, 1438, 623, 878, 532, 454, 1432, 1772, 6052, 631, 2678, 20111, 888, 763, 1648, 11281, 20111, 568, 9280, 609, 8596, 602, 2268, 1648, 946, 267, 971, 607, 6453, 543, 1699, 269, 901, 1239, 568, 1287, 4843, 593, 513, 6895, 610, 700, 7374, 269, 1306, 513, 1267, 267, 1648, 11281, 9102, 11387, 616, 3608, 543, 6325, 267, 12419, 4977, 1648, 13220, 538, 3764, 269, 769, 1840, 267, 5464, 1648, 4616, 936, 942, 2636, 3755, 547, 3313, 1648, 6165, 3466, 543, 4188, 5330, 5944, 269, 2060, 741, 4359, 2029, 267, 1648, 11281, 20111, 338, 616, 606, 17170, 1907, 585, 1648, 2359, 4648, 269, 2311, 22870, 5235, 267, 649, 5478, 1164, 7779, 1648, 11281, 20111, 338, 563, 7476, 513, 1863, 10839, 1631, 2336, 3963, 7994, 22870, 5235, 585, 2659, 6052, 631, 2678, 20111, 454, 16978, 3740, 20233, 719, 540, 6052, 631, 2678, 20111, 454, 2304, 1648, 11281, 20111, 666, 1406, 1599, 1134, 1510, 513, 1697, 5122, 11768, 269, 898, 568, 1898, 547, 20586, 782, 6213, 2609, 689, 519, 824, 5547, 12545, 547, 7413, 519, 4960, 540, 6959, 269, 634, 12627, 593, 519, 1648, 11281, 9102, 5547, 568, 519, 8998, 540, 519, 9219, 1852, 269, 4706, 1970, 17931, 5365, 568, 11630, 547, 6846, 267, 6850, 18878, 11166, 267, 543, 824, 5007, 7506, 269, 4475, 267, 621, 1590, 581, 13883, 538, 606, 9678, 3148, 2476, 689, 15244, 269, 634, 5547, 4604, 1590, 581, 2966, 971, 6213, 2609, 899, 519, 12627, 616, 711, 2800, 539, 563, 28830, 9701, 2142, 3117, 30872, 538, 6052, 631, 2678, 20111, 5071, 454, 2005, 779, 7543, 547, 1374, 519, 1648, 11281, 20111, 7157, 1510, 6236, 922, 1106, 3815, 267, 2450, 267, 543, 669, 817, 529, 1374, 269, 634, 20111, 2934, 602, 1590, 581, 30402, 1725, 13443, 15095, 1058, 581, 17479, 693, 513, 3845, 689, 519, 4604, 779, 4580, 779, 13020, 344, 267, 971, 607, 1379, 2959, 267, 3059, 3334, 267, 543, 513, 1699, 2132, 1899, 563, 6624, 949, 2307, 267, 968, 2710, 1648, 11281, 20111, 338, 2270, 25801, 2326, 9495, 634, 2626, 568, 9811, 269, 9453, 891, 2326, 267, 972, 568, 1100, 25801, 11443, 593, 519, 1648, 11281, 9102, 5547, 4604, 269, 1656, 519, 1570, 1058, 723, 5140, 3002, 4744, 11692, 2702, 267, 543, 972, 1058, 849, 581, 606, 10072, 1570, 609, 19428, 6106, 563, 763, 1570, 1942, 1058, 581, 10097, 269, 1703, 616, 1732, 3681, 982, 1210, 1932, 7199, 2326, 269, 21019, 568, 2442, 538, 519, 6052, 631, 2678, 20111, 1374, 1317, 540, 922, 5140, 19428, 269, 898, 568, 519, 3501, 1570, 585, 519, 11443, 10250, 540, 519, 20111, 4604, 269, 4033, 4496, 2326, 609, 5140, 25801, 3601, 267, 971, 607, 8988, 610, 4154, 267, 616, 849, 593, 519, 2344, 269, 12846, 267, 891, 2326, 616, 1932, 7199, 547, 946, 1570, 20111, 2504, 269, 1924, 7601, 568, 606, 5140, 4781, 585, 25801, 2326, 563, 24916, 267, 1648, 11281, 20111, 4604, 849, 991, 513, 10464, 1970, 267, 19428, 1570, 547, 1202, 3634, 519, 25801, 4494, 269, 15394, 267, 519, 32229, 4494, 568, 1500, 540, 21598, 268, 275, 563, 1103, 519, 20111, 1374, 267, 20111, 13020, 344, 267, 4105, 11387, 267, 3059, 3334, 267, 543, 1379, 2959, 11768, 1058, 581, 2808, 269, 20111, 13020, 344, 1058, 581, 9674, 689, 1346, 2694, 563, 2414, 2327, 6325, 4421, 1359, 267, 519, 3845, 1063, 3334, 593, 519, 1648, 11281, 20111, 1058, 581, 607, 2110, 607, 2009, 563, 763, 1101, 3364, 547, 2015, 568, 875, 547, 8905, 519, 15244, 585, 519, 1648, 11281, 5547, 4604, 269, 634, 2230, 1063, 11443, 15244, 1058, 581, 811, 27763, 982, 1079, 2053, 540, 15244, 269, 1744, 1752, 532, 15244, 616, 1898, 547, 17527, 6846, 563, 2414, 3986, 713, 1198, 267, 946, 1114, 27733, 6127, 269, 1411, 666, 1256, 946, 1585, 31364, 15244, 547, 9004, 6846, 269, 898, 779, 1655, 547, 2057, 11093, 31364, 15244, 1985, 547, 5365, 14742, 563, 290, 1844, 7057, 1058, 849, 723, 513, 6131, 1699, 2132, 2619, 543, 581, 9674, 689, 824, 11387, 676, 513, 3845, 540, 693, 2547, 476, 272, 7825, 269, 634, 11768, 849, 7506, 13590, 7180, 269, 18641, 267, 621, 779, 2009, 547, 1711, 513, 5547, 609, 1896, 6106, 267, 1519, 513, 1379, 3761, 563, 2005, 849, 1058, 723, 606, 4830, 1699, 2132, 2619, 267, 23295, 2059, 519, 5365, 10250, 23332, 610, 9944, 621, 563, 4932, 296, 666, 1860, 519, 960, 540, 519, 1648, 11281, 20111, 269, 1717, 267, 1434, 2298, 1648, 11281, 20111, 12545, 267, 1256, 2324, 538, 1164, 23151, 13590, 4610, 1604, 267, 666, 960, 1134, 267, 1100, 2339, 952, 789, 3068, 2234, 7007, 610, 25801, 661, 11085, 269, 901, 568, 1317, 519, 2932, 11443, 12958, 25801, 661, 11085, 267, 543, 519, 2234, 7007, 661, 11085, 2501, 689, 519, 2792, 2823, 563, 763, 8545, 568, 6353, 676, 513, 26688, 1164, 23151, 2361, 9070, 908, 998, 519, 2011, 1510, 1463, 3346, 563, 2414, 7413, 519, 1198, 540, 661, 11085, 593, 606, 1648, 11281, 267, 519, 5547, 4604, 1058, 6451, 1880, 3334, 547, 11574, 6846, 269, 1452, 1331, 1232, 537, 7204, 29522, 267, 799, 4894, 6846, 689, 519, 6453, 2619, 269, 1403, 519, 20111, 10250, 568, 1932, 2673, 547, 519, 1232, 537, 7204, 29522, 267, 789, 949, 1860, 676, 8994, 32366, 766, 267, 865, 789, 1058, 581, 4092, 2484, 2476, 689, 1142, 824, 269, 634, 19944, 8462, 4390, 540, 513, 6882, 786, 4096, 593, 519, 1826, 540, 11418, 538, 519, 5547, 563, 763, 1739, 616, 2081, 547, 7413, 519, 661, 11085, 1198, 538, 519, 1648, 11281, 20111, 24298, 676, 22870, 5235, 563, 272, 264, 2422, 540, 7542, 1679, 23780, 585, 1379, 3515, 454, 273, 264, 1744, 1752, 532, 540, 15791, 543, 13475, 454, 274, 264, 16140, 14742, 454, 275, 264, 21561, 10250, 11097, 2195, 5071, 27101, 29282, 454, 276, 264, 8838, 2711, 4604, 10518, 5346, 1374, 454, 277, 264, 4635, 661, 11085, 12086, 4882, 6269, 816, 832, 454, 278, 264, 7743, 946, 540, 21271, 29522, 454, 279, 264, 30785, 13307, 543, 521, 1944, 540, 1232, 537, 7204, 29522, 454, 280, 264, 3674, 565, 908, 6213, 3334, 689, 6846, 2959, 454, 1432, 9877, 338, 540, 22020, 3657, 22490, 538, 6052, 631, 2678, 20111, 888, 3086, 596, 949, 6318, 513, 1007, 2243, 267, 968, 1432, 5686, 540, 3334, 616, 2877, 538, 519, 1648, 11281, 20111, 9495, 1703, 949, 581, 1585, 2010, 540, 5907, 3334, 538, 519, 20111, 269, 3962, 5057, 4249, 606, 1271, 1909, 269, 1358, 666, 1406, 581, 8719, 676, 1142, 824, 269, 2913, 779, 4131, 779, 1491, 513, 19214, 693, 891, 3334, 563, 3963, 6496, 1323, 6052, 631, 2678, 20111, 10261, 5843, 19055, 619, 888, 5278, 6846, 1131, 581, 6383, 676, 519, 1648, 11281, 3294, 267, 799, 666, 1860, 519, 1648, 11281, 6482, 1871, 269, 4475, 267, 649, 1058, 9004, 519, 6846, 538, 519, 13590, 4610, 543, 2569, 741, 3310, 593, 519, 11281, 779, 2324, 269, 898, 786, 15983, 21554, 593, 596, 602, 519, 1909, 540, 29668, 619, 568, 547, 2232, 6846, 2042, 563, 8794, 519, 29668, 518, 666, 2569, 519, 6846, 15754, 543, 9004, 519, 3310, 540, 519, 6850, 18878, 11166, 593, 519, 20111, 4604, 269, 3973, 519, 3765, 15105, 9327, 1406, 30524, 333, 1406, 4755, 1586, 563, 1692, 666, 596, 1852, 519, 2298, 540, 1648, 11281, 20111, 338, 888, 2414, 2386, 519, 2298, 540, 519, 20111, 649, 1118, 616, 6325, 267, 649, 2356, 946, 2185, 2010, 540, 519, 1449, 1505, 547, 1852, 519, 1648, 11281, 20111, 338, 269, 634, 2185, 2010, 540, 4152, 2081, 616, 6764, 592, 572, 30579, 4530, 267, 11536, 291, 13281, 267, 8028, 30579, 6184, 1637, 4530, 267, 543, 8738, 560, 4530, 563, 763, 1648, 11281, 20111, 568, 513, 2565, 5057, 540, 1648, 7397, 543, 1590, 581, 7318, 547, 2327, 621, 10742, 519, 2838, 3106, 4441, 269, 634, 20949, 6453, 1449, 568, 835, 971, 1449, 602, 2337, 2708, 519, 2773, 540, 1648, 11281, 20111, 338, 269, 901, 1449, 3322, 1641, 532, 519, 1648, 11281, 20111, 547, 606, 5122, 13942, 609, 513, 1360, 1164, 9588, 585, 513, 2110, 8653, 267, 3335, 1896, 2890, 572, 6948, 610, 1447, 563, 5475, 713, 20949, 6453, 814, 1044, 4294, 267, 519, 1648, 11281, 20111, 1590, 711, 3111, 610, 29840, 282, 621, 1058, 3136, 8647, 7363, 19952, 269, 901, 1449, 6663, 547, 13182, 2436, 519, 1648, 11281, 20111, 666, 16641, 23644, 28696, 1510, 1373, 8697, 267, 3976, 4180, 922, 2922, 5106, 538, 1483, 8996, 2175, 563, 6097, 547, 22870, 5235, 779, 1995, 267, 11979, 5201, 666, 581, 513, 4049, 1966, 538, 1648, 11281, 20111, 5663, 267, 607, 621, 666, 3441, 6213, 3334, 269, 4475, 267, 952, 649, 1616, 547, 2327, 602, 1648, 7397, 616, 2922, 543, 6325, 267, 11536, 291, 630, 19491, 15543, 1738, 11166, 264, 4152, 568, 5342, 547, 6895, 519, 2702, 540, 1648, 11281, 20111, 338, 547, 16641, 11979, 5201, 1510, 3441, 563, 308, 526, 16040, 267, 713, 1826, 540, 4152, 568, 1898, 585, 1022, 1648, 11281, 10672, 945, 6499, 547, 3132, 1164, 7779, 2472, 602, 2743, 3106, 4441, 269, 966, 807, 2581, 568, 1100, 9868, 269, 5015, 267, 998, 11536, 291, 4152, 267, 22870, 5235, 666, 5431, 1761, 2152, 1354, 789, 2049, 543, 1491, 3800, 547, 2232, 873, 3533, 543, 7561, 563, 2026, 938, 8030, 2303, 267, 7900, 606, 8028, 30579, 6184, 1637, 4530, 593, 519, 1648, 11281, 20111, 1354, 10380, 568, 1898, 547, 2327, 519, 3926, 779, 3106, 269, 901, 1449, 2337, 5431, 1761, 13471, 14286, 3361, 676, 5007, 2188, 971, 607, 7452, 610, 7509, 3824, 816, 563, 763, 2164, 540, 713, 1449, 666, 948, 13209, 1022, 24966, 1336, 538, 519, 1648, 11281, 20111, 543, 1450, 585, 30997, 3800, 547, 581, 3144, 269, 898, 849, 2636, 8030, 547, 2708, 2436, 2417, 4255, 616, 2877, 1354, 10380, 563, 1103, 938, 6644, 267, 519, 1648, 11281, 20111, 16802, 1449, 568, 513, 2565, 1900, 540, 1648, 11281, 5663, 267, 2016, 602, 621, 5849, 602, 519, 1648, 7397, 666, 1184, 1164, 2157, 540, 5122, 1648, 269, 634, 1449, 6663, 547, 3313, 875, 1454, 1648, 606, 1648, 11281, 20111, 666, 1491, 1354, 621, 14543, 610, 9397, 1524, 269, 769, 1840, 267, 621, 2337, 9755, 22942, 4617, 6402, 538, 741, 1374, 543, 1118, 2242, 9935, 563, 3528, 4881, 713, 1449, 267, 966, 807, 2581, 666, 2327, 602, 938, 2472, 2743, 3106, 4441, 543, 1683, 6099, 6075, 2773, 269, 9453, 713, 1449, 267, 649, 666, 1406, 4952, 602, 1648, 20111, 338, 1832, 6325, 543, 2922, 563, 3963, 1684, 1411, 10261, 547, 6513, 23688, 783, 1473, 10631, 766, 538, 519, 6052, 631, 2678, 20111, 338, 888, 1432, 10049, 14348, 2142, 13242, 547, 5269, 6052, 631, 2678, 20111, 338, 888, 1692, 547, 1118, 513, 2953, 700, 7374, 20233, 719, 593, 6052, 631, 2678, 20111, 888, 21328, 631, 2678, 20111, 1306, 5145, 1782, 454, 26502, 18748, 6052, 631, 2678, 20111, 13437, 454, 763, 32366, 766, 540, 27810, 538, 606, 6052, 11281, 568, 513, 1713, 3815, 602, 5540, 922, 2773, 269, 3213, 2812, 666, 581, 1500, 540, 1114, 2326, 4470, 593, 741, 2450, 269, 634, 1034, 3608, 3283, 3970, 519, 2179, 540, 2011, 2230, 1472, 519, 5122, 26423, 269, 898, 568, 849, 1634, 607, 519, 6445, 3815, 563, 8794, 5180, 12904, 786, 2141, 1267, 538, 513, 7934, 538, 519, 8998, 540, 519, 16509, 267, 855, 713, 7934, 666, 581, 2799, 676, 2810, 519, 1297, 540, 7140, 269, 634, 6445, 3815, 666, 581, 2799, 676, 1210, 14328, 610, 4009, 12904, 563, 24916, 519, 3259, 540, 519, 16509, 267, 519, 32366, 766, 540, 513, 16509, 666, 849, 581, 2799, 610, 8519, 676, 4657, 519, 1570, 269, 634, 3152, 519, 1570, 779, 332, 1468, 779, 27978, 267, 519, 2362, 519, 32366, 766, 269, 634, 811, 27978, 267, 519, 2362, 519, 32366, 766, 267, 855, 519, 1447, 6419, 27978, 267, 519, 14758, 519, 32366, 766, 269, 1403, 519, 1648, 11281, 3096, 1732, 32366, 766, 267, 621, 666, 16641, 811, 4187, 563, 16978, 15543, 1738, 11166, 568, 606, 1898, 3815, 538, 519, 2949, 2773, 540, 1648, 7397, 269, 1717, 267, 1896, 2188, 949, 1860, 11536, 291, 4152, 267, 1519, 519, 6453, 267, 519, 7934, 8700, 267, 543, 519, 942, 1063, 519, 17579, 525, 269, 12989, 616, 930, 4808, 547, 948, 596, 3313, 2436, 519, 6850, 18878, 11166, 5540, 707, 6052, 11281, 779, 2773, 269, 17616, 267, 596, 1590, 1174, 1018, 606, 6850, 18878, 11166, 568, 563, 2304, 11536, 291, 568, 606, 5122, 11166, 602, 5540, 519, 5547, 4604, 540, 606, 3167, 27115, 269, 634, 6453, 2838, 585, 606, 11536, 291, 11166, 568, 1644, 547, 519, 6453, 4294, 269, 634, 2362, 519, 6453, 267, 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 ]
[ 0, 301, 1731, 27204, 538, 5771, 454, 17504, 21208, 27204, 1797, 7365, 610, 12311, 6674, 538, 12428, 1893, 269, 634, 562, 1731, 27204, 538, 28991, 3568, 1390, 2956, 269, 901, 2262, 568, 1031, 538, 20845, 547, 4766, 827, 519, 12311, 6674, 563, 30547, 540, 21208, 27204, 454, 763, 5339, 2495, 540, 713, 2262, 568, 950, 1079, 1919, 9192, 609, 1142, 824, 543, 3587, 835, 568, 1572, 519, 21208, 27204, 563, 15008, 540, 21208, 27204, 454, 288, 21208, 27204, 568, 606, 9099, 4579, 799, 3217, 1747, 1063, 606, 2937, 7332, 812, 543, 606, 2937, 4807, 609, 741, 1863, 786, 338, 538, 519, 4527, 540, 1079, 22168, 689, 1142, 2427, 269, 901, 4579, 666, 581, 2854, 610, 11913, 543, 621, 10522, 930, 11645, 543, 2924, 593, 519, 24931, 6105, 563, 14532, 540, 7365, 454, 6524, 5771, 267, 972, 941, 1114, 2010, 540, 22888, 799, 941, 1455, 10838, 519, 1004, 540, 29240, 269, 769, 1346, 22888, 267, 4807, 1185, 1100, 2924, 543, 1100, 1852, 936, 1022, 2339, 269, 4173, 6644, 729, 711, 2808, 1271, 269, 2701, 1223, 711, 16028, 1200, 9393, 607, 1134, 269, 1703, 941, 1100, 7687, 593, 519, 812, 693, 602, 942, 269, 2494, 729, 1863, 547, 19533, 607, 1082, 2053, 607, 646, 4941, 543, 2436, 547, 1521, 24726, 8449, 610, 711, 269, 654, 1057, 1185, 1100, 2924, 1256, 936, 1200, 1453, 610, 5826, 563, 30812, 1431, 540, 21208, 27204, 454, 16729, 616, 519, 2175, 540, 21208, 27204, 454, 288, 4807, 543, 812, 1058, 581, 2937, 585, 519, 3483, 540, 21208, 27204, 269, 25175, 945, 568, 513, 1126, 543, 1447, 982, 519, 2085, 540, 23648, 3112, 581, 9310, 1256, 676, 519, 10479, 540, 1200, 610, 1010, 27369, 563, 273, 269, 7332, 610, 4807, 540, 1433, 454, 1607, 1797, 602, 547, 2932, 513, 21208, 27204, 1312, 1058, 581, 12356, 269, 1809, 513, 7332, 812, 666, 19533, 513, 4807, 945, 568, 4168, 610, 9925, 855, 971, 15194, 568, 1152, 585, 812, 543, 711, 10858, 593, 513, 7332, 4807, 563, 288, 812, 1058, 2141, 4782, 513, 7332, 8004, 936, 1875, 1660, 3916, 8004, 454, 3719, 952, 2576, 6499, 547, 19533, 513, 1875, 1660, 3916, 8004, 1287, 519, 8004, 1058, 581, 669, 770, 1047, 267, 2057, 2098, 2088, 267, 543, 1200, 530, 8932, 1058, 581, 513, 7332, 454, 1607, 1554, 1496, 718, 316, 1434, 3536, 723, 1044, 1500, 1876, 995, 267, 543, 519, 1426, 540, 1346, 945, 941, 2016, 519, 23075, 568, 1876, 995, 585, 596, 543, 707, 1426, 568, 1876, 995, 585, 873, 269, 1656, 1496, 32016, 538, 7365, 616, 316, 669, 4292, 2021, 689, 1851, 519, 21071, 543, 669, 4292, 2021, 689, 1851, 1346, 945, 941, 2016, 519, 23075, 1354, 596, 267, 950, 596, 723, 2016, 873, 741, 1813, 13180, 267, 964, 3931, 669, 770, 640, 267, 711, 796, 32016, 4638, 26697, 610, 2921, 1496, 572, 4038, 316, 18798, 269, 1656, 945, 1197, 3954, 625, 519, 5132, 1107, 1010, 960, 814, 1831, 4502, 1652, 267, 543, 646, 267, 538, 519, 3371, 12898, 267, 786, 581, 1851, 519, 17485, 619, 269, 2672, 19207, 1325, 30823, 320, 14235, 476, 276, 563, 2467, 616, 1082, 4220, 538, 3478, 9310, 547, 513, 1875, 1660, 3916, 8004, 1317, 519, 1453, 616, 811, 2693, 547, 1246, 519, 3993, 865, 621, 666, 1291, 547, 2042, 19952, 563, 274, 269, 20644, 630, 292, 6359, 629, 994, 1607, 1797, 7365, 11556, 6035, 547, 519, 4807, 610, 1200, 25330, 538, 1931, 547, 3343, 10479, 543, 741, 9844, 585, 7365, 269, 901, 666, 581, 2944, 519, 824, 1259, 607, 1134, 676, 11488, 513, 11556, 547, 513, 812, 676, 519, 27369, 540, 519, 4807, 563, 275, 269, 20504, 766, 630, 918, 5429, 994, 763, 2034, 2783, 540, 21208, 27204, 568, 10343, 540, 11556, 1547, 1403, 1352, 610, 646, 23216, 609, 1200, 610, 1010, 1863, 786, 1287, 519, 21208, 27204, 666, 581, 3144, 1747, 563, 276, 269, 5565, 7198, 454, 2414, 2932, 519, 21208, 27204, 267, 1079, 5256, 22168, 616, 2556, 689, 1312, 519, 5011, 563, 2690, 513, 7332, 1695, 267, 513, 5256, 530, 8932, 568, 2556, 547, 2285, 1200, 883, 519, 21208, 27204, 540, 513, 533, 1190, 1268, 269, 654, 8932, 666, 581, 1200, 4651, 610, 1200, 7015, 610, 1022, 5256, 812, 538, 1200, 1920, 945, 568, 513, 2725, 327, 1090, 547, 1200, 269, 1809, 621, 568, 711, 7989, 24777, 585, 513, 530, 8932, 547, 3196, 519, 4807, 269, 654, 8932, 666, 3391, 519, 4807, 855, 519, 3803, 3375, 1058, 581, 540, 519, 4807, 563, 278, 269, 715, 340, 696, 658, 10516, 610, 2725, 615, 454, 763, 8356, 696, 658, 10516, 568, 2556, 607, 1134, 538, 5771, 607, 513, 4027, 585, 519, 4807, 563, 302, 596, 945, 723, 5156, 267, 950, 519, 18468, 2021, 2097, 547, 596, 607, 32164, 7847, 267, 4983, 873, 269, 16589, 568, 1034, 6616, 607, 547, 741, 5132, 269, 1656, 952, 596, 917, 873, 547, 581, 21071, 267, 1287, 798, 711, 2132, 873, 547, 519, 771, 29207, 951, 282, 789, 616, 711, 1876, 995, 1496, 342, 1161, 316, 585, 873, 267, 6862, 616, 789, 1876, 995, 1496, 327, 639, 27512, 316, 585, 873, 269, 1809, 2285, 519, 771, 29207, 951, 1018, 789, 723, 6170, 269, 1656, 972, 568, 1100, 16620, 2390, 596, 952, 596, 19533, 873, 950, 596, 723, 2016, 873, 741, 1813, 13180, 269, 1656, 3180, 711, 547, 7365, 7554, 609, 771, 29207, 1324, 2021, 267, 855, 2307, 585, 1018, 596, 723, 6170, 543, 1577, 873, 2307, 585, 1018, 789, 723, 6170, 269, 2334, 568, 519, 27790, 540, 16589, 6902, 1261, 16488, 1063, 596, 269, 1656, 16589, 568, 18833, 543, 29216, 269, 2672, 19207, 12804, 631, 636, 339, 1695, 2088, 14235, 476, 1015, 563, 8649, 870, 540, 715, 340, 696, 658, 717, 3424, 454, 2467, 568, 1100, 6378, 2179, 540, 8356, 696, 658, 10516, 269, 898, 666, 581, 6976, 2687, 547, 519, 786, 540, 519, 4807, 610, 2687, 547, 519, 17927, 540, 519, 812, 563, 6781, 340, 6428, 4821, 536, 269, 2048, 6781, 323, 620, 7304, 1695, 2006, 4080, 281, 594, 4280, 2048, 288, 685, 22781, 267, 519, 7385, 540, 16589, 779, 11619, 10152, 630, 12168, 369, 12022, 17262, 24291, 12022, 407, 479, 12168, 373, 12022, 17262, 407, 479, 476, 15906, 25078, 12022, 14534, 476, 2567, 1548, 568, 519, 2179, 540, 546, 1077, 540, 16589, 779, 11619, 10152, 630, 12168, 369, 12022, 17262, 24291, 12022, 407, 479, 12168, 373, 12022, 17262, 407, 479, 476, 15906, 25078, 12022, 14534, 3738, 286, 2701, 1767, 281, 898, 729, 12964, 2048, 340, 336, 12011, 553, 543, 835, 562, 1662, 269, 2701, 1767, 281, 1684, 596, 917, 1018, 568, 620, 5991, 1662, 286, 594, 1767, 281, 3143, 269, 2701, 1767, 281, 898, 568, 3368, 540, 579, 336, 31843, 267, 543, 621, 5666, 547, 2947, 4627, 546, 597, 327, 4461, 267, 543, 602, 729, 519, 546, 1077, 2016, 676, 16589, 779, 11619, 10152, 630, 12168, 369, 12022, 17262, 24291, 12022, 407, 479, 12168, 373, 12022, 17262, 407, 479, 476, 15906, 25078, 12022, 14534, 3738, 547, 1010, 24726, 269, 19300, 8811, 7332, 1433, 540, 562, 1731, 1695, 1185, 603, 1100, 476, 4097, 279, 280, 454, 6944, 847, 540, 7365, 454, 2005, 568, 711, 2556, 547, 723, 513, 4579, 593, 1957, 585, 513, 21208, 27204, 855, 621, 568, 1152, 2944, 585, 519, 3106, 540, 519, 4807, 865, 602, 519, 812, 1281, 711, 10443, 2476, 1310, 3478, 9310, 563, 301, 1731, 27204, 513, 3281, 13955, 454, 2252, 513, 1268, 568, 606, 2937, 543, 646, 610, 1352, 814, 4638, 991, 1287, 547, 2057, 2098, 2088, 267, 21208, 27204, 3587, 513, 735, 13955, 563, 301, 1731, 27204, 513, 6129, 333, 1695, 454, 301, 1731, 27204, 568, 519, 6129, 333, 1695, 540, 938, 10513, 21024, 630, 335, 12500, 269, 340, 19544, 264, 543, 547, 17712, 664, 689, 621, 568, 17400, 539, 676, 16589, 543, 1010, 21024, 1547, 634, 1523, 540, 13767, 756, 2329, 729, 28715, 676, 938, 21024, 563, 306, 320, 685, 573, 536, 269, 620, 5336, 639, 599, 344, 756, 4080, 281, 594, 4862, 15223, 8910, 630, 321, 269, 2806, 328, 20613, 336, 336, 553, 264, 6031, 602, 519, 2856, 540, 2048, 308, 628, 2006, 536, 269, 631, 1794, 685, 684, 585, 2713, 538, 13767, 756, 2329, 729, 15653, 630, 2421, 519, 10513, 21024, 1070, 543, 952, 646, 1185, 1044, 2016, 10479, 789, 1131, 723, 3893, 2933, 5641, 3603, 269, 19300, 8811, 7332, 1433, 540, 562, 1731, 1695, 1185, 603, 1100, 476, 22430, 276, 563, 3725, 915, 532, 513, 1160, 27760, 454, 2252, 513, 530, 8932, 610, 519, 8004, 6499, 547, 7947, 513, 11556, 267, 922, 741, 1318, 269, 2290, 1058, 1832, 538, 2247, 602, 7947, 532, 513, 11556, 593, 519, 6927, 540, 632, 523, 267, 669, 770, 640, 540, 812, 267, 1799, 7394, 6208, 568, 5386, 855, 519, 1866, 1919, 1775, 3887, 3959, 267, 2777, 267, 1920, 2818, 267, 15980, 267, 2069, 568, 711, 513, 4570, 1448, 547, 7947, 513, 11556, 563, 3519, 1061, 540, 11146, 25141, 538, 5771, 454, 27094, 7365, 568, 711, 19275, 538, 5771, 269, 589, 1268, 568, 4847, 547, 19533, 519, 1268, 540, 1010, 610, 1200, 3903, 269, 634, 11556, 1058, 581, 2366, 547, 519, 530, 8932, 543, 530, 8932, 1058, 2307, 519, 4807, 269, 1403, 1352, 23216, 1287, 530, 8932, 1058, 711, 3196, 873, 711, 547, 19533, 610, 547, 17712, 664, 873, 269, 1809, 2348, 606, 26035, 568, 711, 10300, 531, 563, 301, 1731, 27204, 19275, 609, 7247, 888, 301, 1731, 27204, 568, 19275, 609, 1739, 454, 1892, 5565, 19946, 693, 519, 1482, 942, 454, 1892, 2201, 525, 3993, 610, 4651, 454, 1892, 13574, 11078, 267, 1378, 14552, 454, 1892, 13574, 8250, 610, 5067, 454, 1892, 12429, 779, 11078, 610, 7015, 454, 1892, 12624, 779, 11078, 610, 7015, 454, 1892, 715, 19991, 610, 683, 15343, 342, 630, 335, 11189, 610, 14774, 994, 1892, 9835, 3237, 543, 6264, 1453, 454, 1892, 4279, 6264, 31225, 338, 543, 796, 3380, 454, 1892, 19716, 945, 5740, 539, 835, 454, 1892, 590, 3563, 610, 7015, 998, 8808, 454, 1892, 12429, 538, 1876, 610, 3993, 538, 1876, 454, 1892, 5153, 8250, 610, 1900, 5067, 896, 707, 25330, 1222, 454, 1892, 667, 5922, 538, 1876, 610, 5067, 538, 1876, 454, 1892, 13605, 515, 9749, 543, 562, 773, 806, 540, 9393, 543, 7385, 454, 1892, 1133, 2193, 543, 31225, 338, 540, 7385, 610, 9393, 454, 1892, 12443, 1492, 1235, 610, 6348, 7332, 4807, 610, 812, 454, 1892, 23893, 3023, 630, 2006, 609, 812, 543, 4807, 609, 4807, 994, 3682, 3031, 1243, 547, 596, 1496, 1721, 7365, 316, 616, 707, 11299, 267, 707, 20766, 267, 707, 19946, 267, 707, 4651, 779, 19946, 267, 707, 3993, 779, 19946, 267, 707, 7015, 779, 20766, 267, 707, 11078, 779, 20766, 267, 707, 1496, 332, 20488, 316, 11299, 945, 5740, 539, 596, 267, 707, 19946, 998, 8808, 267, 707, 24726, 685, 11299, 267, 543, 707, 1900, 1673, 18805, 896, 707, 25330, 1222, 1496, 9799, 316, 540, 707, 24726, 21349, 7247, 596, 723, 8854, 538, 269, 1809, 952, 596, 723, 711, 8854, 538, 21349, 873, 267, 972, 568, 1100, 5609, 2390, 596, 269, 1656, 1496, 10193, 19275, 616, 316, 519, 24726, 540, 707, 14930, 945, 616, 689, 707, 1496, 1144, 316, 3138, 1231, 267, 543, 602, 596, 1491, 1496, 514, 7365, 316, 1079, 19946, 8195, 267, 4849, 585, 1018, 814, 2907, 7018, 269, 11569, 267, 16589, 568, 2479, 1280, 15130, 543, 30330, 3814, 269, 2672, 19207, 1325, 715, 13453, 14235, 476, 2537, 454, 6781, 340, 670, 3120, 4275, 630, 5472, 1695, 581, 20938, 609, 1864, 264, 4080, 16589, 779, 11619, 10152, 630, 16673, 4708, 2390, 1864, 264, 2348, 1767, 713, 281, 2290, 1058, 711, 9192, 513, 4807, 543, 1200, 4651, 779, 11078, 267, 6862, 513, 4807, 543, 1200, 3993, 779, 11078, 538, 7365, 269, 19300, 8811, 7332, 1433, 540, 21208, 27204, 1185, 603, 476, 29340, 277, 454, 1103, 5771, 267, 812, 616, 4847, 547, 19533, 811, 982, 835, 4807, 693, 519, 1482, 942, 269, 589, 812, 1223, 711, 19533, 811, 982, 476, 275, 4807, 563, 30812, 1431, 540, 12443, 326, 18081, 454, 1892, 2353, 2021, 616, 7332, 610, 2021, 540, 1433, 454, 1892, 1261, 1058, 2307, 585, 10479, 540, 3105, 24726, 454, 1892, 1261, 1058, 1521, 782, 2021, 8449, 543, 952, 646, 12194, 602, 646, 1223, 711, 1521, 873, 8449, 1287, 646, 1058, 711, 19533, 563, 4517, 952, 596, 4250, 602, 596, 786, 711, 4308, 1175, 569, 609, 519, 29152, 6690, 267, 1287, 19533, 1346, 602, 5225, 596, 540, 1496, 1278, 316, 2021, 267, 1079, 610, 1614, 610, 2185, 269, 1809, 952, 596, 4250, 602, 596, 786 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12433, 9314, 15580, 543, 7089, 540, 5384, 11270, 338, 692, 19950, 15580, 6726, 566, 16754, 692, 2080, 267, 649, 3580, 946, 513, 2104, 1871, 3830, 547, 4194, 585, 875, 1454, 513, 16005, 2221, 666, 1332, 547, 538, 519, 2104, 269, 1703, 616, 2053, 267, 2705, 267, 950, 649, 2907, 917, 1312, 519, 2104, 543, 1459, 2418, 543, 1616, 547, 917, 2901, 519, 1719, 2557, 610, 519, 1297, 540, 942, 5712, 621, 3576, 547, 7118, 519, 2104, 3666, 780, 2171, 666, 946, 519, 1739, 4542, 547, 4194, 585, 519, 1719, 2557, 630, 15290, 621, 568, 519, 7164, 17107, 17961, 9387, 31905, 674, 13997, 309, 13925, 333, 3686, 284, 303, 13997, 309, 13925, 271, 14990, 9392, 2715, 3189, 3847, 263, 476, 272, 266, 328, 1422, 2431, 264, 8703, 333, 3686, 8607, 261, 2715, 8703, 293, 13997, 309, 13925, 333, 3686, 348, 270, 346, 13925, 303, 13997, 309, 13925, 271, 3686, 13157, 346, 3189, 3847, 263, 476, 272, 266, 328, 1422, 2431, 264, 8703, 333, 3686, 8607, 261, 2715, 3189, 3847, 314, 2715, 8703, 293, 13997, 309, 13925, 333, 3686, 348, 270, 346, 13925, 303, 13997, 309, 13925, 271, 3686, 348, 1422, 2431, 316, 8703, 346, 8703, 272, 348, 270, 346, 13925, 333, 3686, 13157, 346, 3189, 3847, 314, 2715, 3189, 3847, 263, 476, 272, 266, 328, 1422, 2431, 264, 8703, 333, 3686, 1422, 2431, 316, 8703, 346, 8703, 272, 348, 270, 346, 13925, 333, 3686, 18098, 3847, 263, 476, 272, 266, 328, 1422, 2431, 264, 8607, 261, 1775, 28121, 3189, 3847, 314, 2715, 8703, 293, 13997, 309, 13925, 333, 3686, 348, 270, 346, 13925, 303, 13997, 309, 13925, 271, 3686, 348, 1422, 2431, 316, 8703, 346, 8703, 272, 348, 270, 346, 13925, 333, 3686, 18511, 272, 8607, 315, 754, 9387, 10926, 7078, 476, 272, 8892, 10025, 267, 14572, 585, 519, 9314, 15580, 692, 9617, 607, 596, 941, 827, 547, 4283, 2852, 267, 596, 4362, 602, 513, 1390, 11515, 1185, 3964, 606, 2069, 3972, 2508, 585, 596, 950, 596, 941, 4535, 267, 476, 736, 1296, 3516, 269, 1261, 1500, 513, 16005, 540, 1269, 276, 267, 1822, 538, 519, 4098, 269, 1403, 519, 2698, 3666, 568, 1631, 259, 866, 267, 4097, 279, 269, 5655, 267, 1018, 3328, 31903, 2557, 540, 2132, 814, 1044, 12236, 2496, 2171, 666, 946, 519, 1739, 3830, 547, 4194, 585, 519, 7164, 1719, 2557, 1384, 259, 328, 28121, 3189, 3847, 314, 2715, 8703, 293, 13997, 309, 13925, 333, 3686, 348, 270, 346, 13925, 303, 13997, 309, 13925, 271, 3686, 348, 1422, 2431, 316, 8703, 346, 8703, 272, 348, 270, 346, 13925, 333, 3686, 18511, 272, 28121, 3189, 3847, 314, 2715, 8703, 866, 267, 4097, 279, 269, 5655, 348, 270, 346, 13925, 276, 267, 1822, 348, 1422, 2431, 316, 8703, 346, 8703, 272, 348, 270, 346, 13925, 736, 3686, 18511, 272, 284, 278, 260, 6911, 10831, 540, 5384, 11270, 338, 6726, 566, 16754, 692, 2252, 596, 917, 519, 14346, 267, 674, 309, 267, 543, 519, 1719, 2557, 596, 666, 12337, 519, 1297, 540, 942, 5712, 780, 7078, 476, 273, 8892, 10025, 267, 14572, 585, 562, 692, 1692, 1279, 786, 621, 1491, 547, 5595, 519, 2724, 693, 476, 274, 260, 1719, 2557, 286, 1280, 3236, 267, 952, 10637, 25939, 476, 274, 260, 829, 3045, 636, 267, 1287, 2698, 875, 1082, 1296, 786, 621, 1491, 585, 519, 3902, 540, 513, 533, 842, 540, 14420, 547, 5595, 689, 1269, 272, 269, 2004, 547, 259, 274, 269, 876, 888, 17961, 9387, 348, 1299, 623, 13997, 309, 13925, 271, 3686, 7807, 272, 269, 2004, 11138, 261, 293, 13997, 309, 13925, 271, 3686, 7807, 274, 11138, 261, 333, 284, 286, 11138, 261, 328, 284, 271, 269, 6734, 11138, 315, 754, 9387, 8679, 17961, 9387, 31905, 674, 13997, 309, 13925, 333, 3686, 284, 303, 13997, 309, 13925, 271, 14990, 9392, 2715, 3189, 3847, 263, 476, 272, 266, 328, 1422, 2431, 264, 8703, 333, 3686, 8607, 261, 2715, 8703, 293, 13997, 309, 13925, 333, 3686, 348, 270, 346, 13925, 303, 13997, 309, 13925, 271, 3686, 13157, 346, 3189, 3847, 263, 476, 272, 266, 328, 1422, 2431, 264, 8703, 333, 3686, 8607, 261, 562, 7807, 2765, 3189, 15238, 1422, 3847, 263, 2715, 8703, 293, 13997, 309, 13925, 333, 3686, 348, 270, 346, 13925, 303, 13997, 309, 13925, 271, 3686, 348, 1422, 2431, 264, 7346, 15238, 1422, 3847, 263, 476, 272, 266, 328, 1422, 2431, 14587, 8607, 315, 754, 9387, 348, 0, 258, 634, 3845, 1535, 4988, 676, 513, 9325, 538, 835, 21021, 5163, 9775, 692, 9223, 1384, 763, 3845, 1269, 343, 259, 4988, 676, 513, 9325, 538, 835, 21021, 5163, 9775, 609, 942, 1269, 339, 259, 607, 1269, 343, 3867, 273, 13157, 320, 512, 3867, 273, 15396, 273, 536, 512, 25239, 10608, 1403, 519, 10231, 540, 519, 9325, 5673, 593, 1269, 343, 259, 607, 1269, 343, 13064, 348, 562, 8961, 1141, 1269, 333, 259, 568, 606, 8870, 267, 519, 1871, 540, 1269, 333, 259, 568, 1693, 13090, 692, 11405, 1384, 263, 274, 264, 20028, 4399, 9507, 346, 311, 4151, 9775, 609, 942, 4399, 9507, 346, 339, 4151, 607, 1269, 343, 3867, 273, 13157, 320, 512, 3867, 273, 15396, 273, 536, 512, 25239, 6911, 7445, 23976, 476, 273, 1535, 1422, 2765, 18097, 1535, 2410, 323, 512, 13157, 273, 513, 512, 266, 273, 536, 6911, 7445, 23976, 1535, 1422, 2765, 18097, 1535, 2410, 323, 512, 13157, 320, 512, 17070, 1422, 23976, 1422, 2765, 18097, 1535, 2410, 323, 512, 18098, 2765, 18950, 320, 512, 17070, 20972, 343, 10592, 7445, 23976, 1535, 1422, 2765, 18097, 3867, 273, 348, 1535, 2410, 323, 512, 3867, 273, 3686, 10954, 3847, 7268, 2765, 18097, 1535, 2410, 323, 512, 4153, 2431, 22722, 273, 13157, 320, 6911, 7445, 23976, 1422, 2765, 18097, 3867, 273, 348, 1535, 2410, 323, 512, 3867, 273, 3686, 7807, 2765, 21151, 10559, 3847, 7268, 2765, 18097, 1535, 2410, 323, 512, 4153, 2431, 22722, 273, 12453, 343, 18098, 2765, 21151, 10559, 3847, 7268, 2765, 21151, 512, 17070, 2410, 343, 4153, 2431, 22722, 273, 12453, 343, 10592, 259, 7807, 2765, 21151, 1535, 3867, 273, 18511, 263, 320, 512, 17070, 22722, 273, 12453, 343, 3867, 274, 3686, 7807, 2765, 21151, 524, 1532, 3867, 273, 12453, 343, 3867, 274, 3686, 7445, 692, 7445, 23976, 513, 1422, 2889, 696, 334, 1535, 13064, 274, 10592, 17798, 267, 1269, 333, 284, 274, 259, 0, 11377, 14050, 3189, 573, 7346, 9507, 346, 573, 24995, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 24995, 6695, 14050, 3189, 330, 14533, 7346, 9507, 23533, 1638, 4153, 267, 6525, 6695, 14050, 3189, 9792, 7346, 9507, 346, 9792, 4153, 267, 6525, 6695, 14050, 3189, 18600, 8512, 7346, 9507, 346, 3725, 24995, 6695, 14050, 3189, 3412, 698, 2435, 8512, 7346, 9507, 346, 3412, 24995, 6695, 14050, 3189, 26855, 2163, 7346, 9507, 346, 26855, 24995, 6695, 14050, 3189, 17884, 22042, 272, 27037, 347, 1948, 272, 1422, 347, 6525, 6695, 14050, 3189, 27903, 22042, 273, 27037, 30848, 1948, 272, 267, 1948, 273, 1422, 26917, 6525, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 3686, 9681, 258, 476, 279, 269, 275, 281, 634, 5149, 5153, 9577, 692, 11377, 14050, 3189, 11355, 338, 22042, 272, 27037, 13569, 564, 2715, 1422, 27771, 5882, 1422, 337, 12915, 17369, 3019, 1575, 348, 11513, 10400, 346, 258, 272, 3686, 476, 15732, 11377, 14050, 3189, 557, 7251, 22042, 272, 27037, 13569, 564, 346, 10559, 256, 10559, 256, 315, 337, 12915, 17369, 3019, 1575, 7346, 341, 28783, 21151, 4153, 8243, 1662, 2715, 258, 272, 3686, 15732, 1103, 519, 1985, 3296, 649, 3580, 2015, 3355, 1871, 2042, 692, 259, 599, 5257, 266, 2421, 262, 266, 1097, 284, 325, 6025, 1070, 315, 15153, 586, 263, 271, 6661, 330, 318, 271, 12101, 15153, 586, 21948, 271, 6661, 330, 318, 272, 267, 6911, 3602, 3230, 320, 18079, 3230, 321, 18079, 543, 3230, 322, 2330, 616, 21635, 543, 3230, 325, 2330, 568, 4062, 3772, 6024, 269, 769, 713, 3296, 649, 3580, 1020, 5773, 585, 1210, 519, 3349, 540, 5487, 2897, 21810, 547, 1265, 5487, 2897, 21810, 540, 4062, 3772, 6024, 3252, 267, 543, 547, 1265, 519, 4062, 3772, 6024, 538, 951, 525, 540, 5487, 2897, 21810, 780, 7078, 6695, 17273, 19340, 346, 272, 15732, 8196, 519, 3349, 540, 5487, 2897, 21810, 547, 1265, 519, 5487, 2897, 2981, 540, 692, 7445, 16932, 346, 18091, 281, 279, 269, 275, 269, 272, 348, 535, 6025, 21174, 3847, 315, 3189, 8218, 15204, 2410, 743, 348, 476, 273, 339, 266, 272, 267, 261, 271, 315, 548, 512, 283, 273, 267, 11138, 314, 275, 696, 316, 274, 339, 267, 261, 339, 315, 613, 273, 1422, 754, 15204, 4153, 2431, 269, 6911, 11405, 692, 263, 8201, 1496, 29664, 281, 279, 269, 275, 269, 272, 348, 6393, 7712, 519, 4542, 585, 3230, 325, 2330, 2242, 693, 3230, 339, 284, 273, 18079, 649, 2328, 692, 315, 16932, 346, 18091, 281, 279, 269, 275, 269, 273, 348, 1422, 8218, 9387, 348, 11513, 5632, 700, 12917, 325, 264, 261, 284, 1422, 842, 318, 271, 23373, 13727, 552, 13064, 560, 348, 325, 6025, 9385, 267, 19049, 8607, 314, 275, 696, 316, 17851, 1422, 842, 318, 271, 317, 273, 552, 13064, 560, 12917, 273, 339, 266, 272, 9385, 267, 19049, 10954, 842, 318, 273, 23373, 13727, 552, 13064, 560, 12917, 274, 339, 9385, 267, 19049, 269, 1422, 754, 9387, 10926, 2414, 9305, 519, 1101, 2165, 547, 513, 5487, 2897, 2981, 267, 649, 1039, 543, 10208, 692, 7445, 842, 318, 273, 23373, 13727, 552, 13064, 560, 12917, 273, 339, 266, 272, 9385, 267, 19049, 1422, 12061, 3784, 6911, 514, 17817, 1422, 10915, 346, 18091, 281, 279, 269, 275, 269, 273, 348, 547, 3489, 692, 315, 16932, 346, 18091, 281, 279, 269, 275, 269, 274, 348, 1422, 8218, 9387, 348, 11513, 5632, 700, 12917, 325, 264, 17851, 1422, 842, 318, 271, 23373, 13727, 552, 13064, 560, 12917, 273, 339, 266, 272, 9385, 267, 19049, 266, 1422, 842, 318, 273, 23373, 13727, 552, 13064, 560, 12917, 274, 339, 268, 273, 339, 268, 272, 9385, 267, 19049, 8607, 314, 275, 696, 316, 17851, 1422, 842, 318, 271, 23373, 13727, 552, 13064, 560, 12917, 273, 339, 266, 272, 9385, 267, 19049, 266, 1422, 842, 318, 273, 23373, 13727, 552, 13064, 560, 12917, 339, 268, 272, 9385, 267, 19049, 8607, 314, 275, 696, 316, 17851, 3189, 5632, 700, 12917, 273, 339, 266, 272, 264, 1341, 1422, 842, 318, 273, 23373, 13727, 552, 13064, 560, 12917, 339, 268, 272, 264, 22773, 19049, 269, 1422, 754, 9387, 10926, 2414, 9305, 519, 2063, 7533, 547, 513, 5487, 2897, 2981, 267, 649, 1118, 519, 1689, 540, 4756, 3230, 343, 284, 339, 268, 273, 2330, 543, 27682, 519, 7533, 607, 692, 17961, 9387, 348, 1422, 842, 318, 273, 23373, 13727, 552, 13064, 560, 12917, 339, 268, 272, 9385, 267, 19049, 17851, 1422, 842, 318, 271, 23373, 13727, 552, 13064, 338, 3287, 266, 273, 264, 12917, 343, 266, 272, 9385, 267, 11459, 8607, 314, 275, 696, 316, 17851, 324, 13064, 273, 338, 4153, 842, 318, 271, 23373, 13727, 552, 13064, 338, 343, 12917, 343, 266, 272, 9385, 267, 11459, 26142, 754, 9387, 10926, 7712, 519, 3090, 1031, 585, 519, 4756, 540, 5610, 814, 1100, 1198, 593, 519, 1871, 540, 513, 17386, 7533, 267, 649, 666, 1631, 5372, 3230, 343, 2330, 676, 519, 811, 3044, 3230, 339, 2330, 543, 2328, 692, 7445, 842, 318, 273, 23373, 13727, 552, 13064, 560, 12917, 339, 268, 272, 9385, 267, 19049, 815, 324, 13064, 273, 338, 4153, 842, 318, 271, 23373, 13727, 552, 13064, 560, 12917, 339, 266, 272, 9385, 267, 19049, 284, 324, 13064, 273, 338, 7346, 5632, 700, 12917, 339, 266, 272, 1040, 6911, 1607, 543, 17817, 1422, 10915, 346, 18091, 281, 279, 269, 275, 269, 274, 348, 17538, 602, 692, 21851, 5632, 700, 12917, 325, 6661, 3189, 5632, 700, 12917, 273, 339, 266, 272, 11924, 324, 13064, 273, 338, 7346, 5632, 700, 348, 630, 339, 266, 272, 1040, 6911, 3086, 649, 666, 946, 519, 3349, 540, 5487, 2897, 21810, 547, 1265, 602, 692, 21851, 5632, 700, 12917, 325, 6661, 346, 273, 315, 1478, 521, 317, 273, 15396, 346, 272, 315, 1478, 521, 348, 1341, 324, 13064, 273, 338, 4153, 3847, 20719, 272, 315, 1478, 521, 317, 273, 15396, 346, 272, 315, 1478, 521, 4153, 2431, 1040, 6911, 2171, 3580, 1631, 1020, 519, 1505, 540, 7151, 1496, 9987, 281, 279, 269, 275, 269, 272, 348, 883, 513, 9836, 1259, 547, 1265, 519, 5487, 2897, 2981, 540, 513, 4062, 3772, 6024, 1599, 269, 898, 568, 10375, 547, 6338, 519, 1770, 1900, 1599, 267, 3989, 607, 692, 7445, 16932 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14532, 539, 527, 269, 31777, 656, 2113, 802, 327, 1389, 616, 2356, 5423, 538, 513, 5374, 7484, 267, 543, 6039, 538, 513, 7381, 4837, 609, 547, 25940, 543, 513, 12450, 269, 1306, 519, 5374, 11680, 616, 2356, 3677, 982, 519, 14296, 267, 519, 6967, 2113, 802, 327, 820, 568, 6039, 538, 519, 11544, 7484, 609, 513, 22635, 269, 11625, 3293, 616, 513, 12450, 9440, 543, 513, 10217, 21199, 267, 609, 627, 5792, 8645, 267, 20057, 956, 267, 543, 513, 2261, 553, 577, 3626, 22269, 1142, 269, 1879, 519, 2165, 2113, 802, 327, 820, 729, 1101, 1031, 538, 1820, 538, 476, 272, 269, 1717, 267, 676, 476, 272, 269, 476, 3445, 269, 1635, 519, 2038, 476, 272, 269, 476, 3445, 269, 1635, 519, 476, 272, 269, 476, 11152, 269, 476, 271, 338, 267, 2113, 802, 327, 1389, 941, 513, 2442, 4235, 693, 28915, 15945, 267, 799, 941, 519, 6093, 14614, 32446, 540, 519, 1974, 269, 634, 1686, 540, 519, 3167, 1025, 2658, 267, 4731, 1540, 5144, 10425, 267, 543, 2113, 802, 327, 1389, 616, 10562, 269, 6969, 519, 7839, 8244, 540, 3167, 11100, 619, 267, 2113, 802, 327, 820, 1826, 10425, 941, 811, 899, 4212, 333, 690, 267, 610, 789, 941, 513, 1688, 695, 2586, 7848, 540, 16760, 4672, 543, 5144, 267, 4006, 267, 543, 8137, 902, 269, 16803, 16047, 338, 4235, 3575, 619, 3459, 1373, 1031, 693, 14614, 535, 870, 1622, 538, 476, 272, 269, 24697, 623, 6955, 9155, 7288, 538, 476, 272, 269, 853, 4428, 539, 8293, 1662, 1234, 10360, 811, 269, 2060, 519, 8798, 540, 519, 1025, 2658, 267, 2113, 802, 327, 1389, 3459, 547, 1491, 741, 2413, 267, 627, 5792, 267, 7098, 730, 267, 543, 8389, 20321, 1106, 269, 634, 946, 540, 4731, 1540, 5144, 8869, 538, 2113, 802, 327, 1389, 729, 2442, 1242, 538, 519, 7330, 676, 519, 9628, 3075, 32697, 5832, 9546, 26572, 839, 269, 5689, 1540, 5144, 8869, 513, 7848, 540, 18493, 730, 5144, 267, 4731, 1540, 24061, 267, 543, 10568, 7912, 1185, 1044, 11827, 676, 5261, 9710, 5585, 538, 476, 272, 269, 1717, 267, 2635, 1004, 4166, 3459, 6704, 16098, 1500, 609, 4731, 1540, 5144, 3274, 585, 519, 6492, 267, 280, 543, 4731, 1540, 5144, 16098, 5627, 5144, 267, 10217, 21360, 267, 543, 28915, 8869, 2968, 513, 3044, 5356, 693, 14614, 535, 870, 1622, 269, 769, 476, 272, 269, 476, 10844, 269, 476, 273, 267, 9546, 26572, 839, 9441, 594, 12534, 7377, 21676, 28952, 1500, 513, 2113, 802, 327, 820, 676, 4946, 1079, 1085, 334, 3591, 540, 29877, 4672, 8645, 547, 519, 3044, 4731, 1540, 5144, 4235, 11600, 269, 901, 6221, 267, 896, 519, 2012, 9710, 997, 802, 5689, 1540, 22447, 267, 729, 12286, 676, 519, 9546, 13582, 3075, 32697, 5832, 607, 851, 540, 513, 10217, 5144, 21199, 267, 799, 3294, 2968, 1634, 607, 513, 4731, 1540, 610, 28915, 543, 2968, 835, 540, 519, 1034, 2442, 14614, 32446, 10425, 269, 634, 12957, 540, 2113, 802, 327, 1389, 2919, 538, 519, 476, 272, 269, 769, 476, 272, 269, 476, 11152, 269, 476, 277, 267, 23266, 23778, 13584, 1031, 519, 2596, 1523, 3297, 519, 1954, 517, 22799, 12747, 4672, 8645, 3684, 547, 1020, 519, 5564, 574, 1460, 518, 267, 513, 2947, 838, 785, 1194, 3575, 518, 602, 1223, 3132, 2947, 2113, 802, 327, 1389, 693, 2899, 267, 782, 8850, 267, 543, 7006, 1619, 873, 693, 519, 7485, 540, 513, 11573, 883, 32261, 1957, 11680, 269, 769, 519, 3735, 476, 272, 269, 769, 476, 272, 269, 19239, 517, 4750, 538, 15930, 7150, 602, 1280, 513, 15470, 539, 21199, 267, 1039, 513, 21686, 540, 707, 5172, 4672, 8645, 269, 769, 476, 272, 269, 32617, 7615, 5240, 538, 11882, 7150, 602, 589, 15470, 539, 20892, 267, 538, 519, 31546, 15066, 267, 568, 1945, 1434, 547, 799, 4672, 8645, 814, 1044, 3773, 269, 7151, 1612, 17284, 568, 15470, 539, 1071, 11738, 996, 520, 3905, 267, 17705, 20892, 1500, 669, 11035, 609, 4672, 543, 15470, 344, 609, 4672, 8645, 269, 1635, 519, 476, 272, 269, 476, 4817, 269, 476, 271, 338, 267, 2442, 4025, 547, 4235, 2113, 802, 327, 1389, 941, 26741, 10290, 338, 476, 276, 476, 272, 269, 1452, 24284, 1419, 30326, 10268, 513, 26124, 669, 4435, 610, 16243, 5374, 2113, 802, 327, 820, 11544, 3684, 269, 1452, 24284, 1500, 2113, 802, 327, 1389, 538, 16803, 16047, 610, 2147, 6163, 540, 4235, 3575, 619, 267, 799, 1185, 838, 785, 956, 543, 989, 527, 2209, 602, 25649, 2011, 883, 519, 10425, 585, 5347, 267, 2770, 27918, 2164, 543, 6039, 873, 538, 476, 272, 269, 0, 1015, 267, 1822, 267, 1822, 267, 1822, 267, 1822, 267, 1822, 25466, 2895, 1882, 454, 4002, 5239, 476, 1839, 267, 15628, 543, 5520, 540, 519, 5769, 25201, 4371, 513, 16008, 585, 513, 1713, 2680, 281, 519, 5769, 21287, 25295, 476, 1015, 4620, 17879, 5052, 630, 1015, 476, 1626, 25466, 1040, 8729, 547, 713, 21287, 609, 519, 5384, 10724, 267, 649, 666, 1294, 1018, 4583, 4609, 6743, 899, 1082, 1296, 3516, 267, 1265, 10710, 12215, 540, 1357, 3817, 610, 3274, 11177, 707, 3135, 689, 513, 968, 16451, 19307, 9731, 25542, 25201, 9307, 519, 3892, 540, 476, 3199, 268, 614, 17879, 974, 3732, 5439, 585, 476, 1001, 272, 547, 3025, 585, 1382, 269, 654, 2752, 290, 6119, 2270, 827, 476, 273, 269, 278, 5479, 772, 305, 3674, 269, 1358, 1331, 782, 1257, 1543, 543, 3388, 3116, 602, 729, 10710, 267, 1519, 2592, 267, 3381, 267, 8755, 267, 3092, 563, 9359, 4266, 281, 4728, 476, 6021, 267, 476, 1001, 272, 454, 17484, 4266, 281, 5412, 476, 2537, 267, 476, 1001, 272, 454, 10831, 540, 2189, 15745, 338, 281, 476, 273, 267, 24129, 267, 279, 2412, 267, 14689, 454, 10831, 540, 14747, 281, 476, 3066, 267, 271, 3953, 267, 6187, 280, 4173, 527, 3700, 454, 4944, 3187, 1101, 22434, 476, 272, 2929, 1034, 2442, 4609, 2687, 547, 5981, 320, 630, 295, 629, 337, 729, 2907, 972, 1070, 543, 1287, 4553, 519, 6402, 1547, 6271, 4277, 1249, 9307, 693, 519, 16008, 269, 1280, 519, 1101, 942, 267, 519, 3003, 5339, 6561, 540, 606, 3003, 4182, 814, 1044, 4628, 7857, 1242, 543, 23345, 547, 519, 5769, 269, 1452, 1004, 2968, 519, 7195, 4042, 1547, 634, 5769, 25201, 729, 28165, 676, 519, 19416, 10196, 543, 5752, 1361, 6048, 18496, 12928, 3578, 269, 1261, 5129, 519, 1418, 267, 6679, 519, 16008, 269, 0, 25284, 2719, 538, 7665, 9874, 454, 268, 3245, 519, 5070, 7901, 454, 16655, 9874, 568, 513, 1863, 2780, 7223, 1062, 630, 290, 3008, 264, 1759, 593, 5871, 700, 7371, 269, 769, 922, 10342, 267, 621, 568, 15991, 17071, 547, 824, 2413, 6976, 31909, 267, 971, 607, 4569, 322, 611, 267, 4223, 11490, 320, 267, 32712, 282, 666, 4163, 856, 10763, 630, 22131, 26382, 264, 9273, 267, 10230, 9273, 267, 1628, 11708, 630, 6748, 575, 20692, 7120, 1040, 898, 568, 2009, 547, 2328, 20072, 543, 1256, 14377, 873, 883, 5871, 700, 7371, 3009, 267, 4553, 676, 28094, 269, 769, 2070, 540, 519, 1249, 602, 3193, 9874, 729, 2854, 689, 2919, 676, 561, 7371, 23501, 267, 922, 16105, 949, 3100, 10169, 14845, 267, 2094, 519, 1893, 568, 5612, 1312, 16122, 543, 6198, 269, 594, 786, 2119, 547, 12172, 10502, 891, 2798, 543, 2491, 519, 9759, 540, 519, 6198, 1935, 538, 606, 3015, 1259, 267, 543, 594, 786, 711, 1445, 693, 782, 593, 1808, 6310, 3252, 281, 789, 616, 3833, 2653, 547, 4487, 10446, 563, 8170, 1576, 267, 10912, 519, 3193, 9874, 3705, 614, 689, 519, 23641, 568, 711, 1360, 10375, 269, 1284, 1616, 547, 1413, 693, 4190, 12596, 602, 616, 21235, 609, 3735, 343, 269, 4475, 267, 585, 14987, 267, 594, 1131, 18973, 596, 547, 2322, 519, 530, 343, 16655, 9874, 7387, 1547, 1403, 596, 616, 23816, 540, 1855, 311, 332, 30929, 910, 596, 666, 19022, 621, 607, 513, 7387, 630, 1729, 581, 9237, 267, 594, 723, 711, 6836, 621, 1040, 4270, 267, 585, 18798, 540, 900, 30929, 972, 568, 708, 1314, 9874, 2073, 547, 960, 538, 519, 17280, 269, 898, 568, 12777, 2322, 856, 540, 519, 4216, 563, 4263, 1101, 16145, 267, 3388, 568, 2241, 281, 649, 6338, 606, 4082, 10678, 609, 513, 12931, 20325, 267, 649, 1205, 519, 2626, 269, 1411, 666, 2119, 3193, 9874, 607, 513, 9498, 267, 5173, 519, 2040, 540, 1079, 2338, 267, 5173, 519, 20534, 540, 519, 5086, 267, 3092, 269, 1284, 2007, 4514, 1018, 568, 8345, 563, 15228, 2513, 338, 267, 2338, 267, 543, 9266, 21635, 3020, 543, 7301, 616, 519, 14724, 3615, 538, 519, 1062, 269, 2353, 824, 7215, 543, 3889, 540, 519, 1893, 616, 3710, 689, 873, 267, 4061, 789, 616, 1572, 10570, 630, 785, 643, 14548, 264, 610, 3274, 8444, 563, 763, 1062, 30193, 1063, 1863, 543, 1129, 4705, 4632, 269, 634, 8612, 4632, 616, 1644, 4632, 267, 519, 4632, 547, 799, 930, 1871, 568, 8655, 269, 1879, 16208, 267, 519, 4756, 2012, 568, 8719, 609, 922, 1871, 269, 1411, 666, 1305, 513, 4756, 1210, 519, 834, 281, 257, 1129, 269, 5131, 4632, 616, 711, 2404, 609, 1022, 1871, 543, 649, 666, 7500, 609, 873, 7493, 569, 267, 585, 1383, 267, 1039, 1079, 12572, 7215, 563, 2691, 12719, 1142, 4971, 267, 922, 12985, 2796, 568, 4646, 269, 898, 568, 513, 4015, 540, 3347, 1063, 4756, 4408, 543, 741, 2418, 267, 607, 1134, 607, 930, 7664, 6724, 269, 1703, 616, 1079, 12985, 8658, 281, 2199, 543, 2518, 269, 634, 2518, 2796, 910, 1455, 547, 782, 14648, 12981, 267, 11887, 519, 1699, 1533, 540, 519, 3705, 614, 269, 589, 2199, 2796, 568, 2813, 585, 519, 8653, 540, 519, 11056, 540, 835, 4971, 267, 543, 568, 4570, 1152, 585, 621, 269, 634, 5207, 10862, 568, 519, 4276, 543, 2199, 2796, 5468, 563, 2080, 519, 1871, 540, 519, 4756, 513, 568, 3144, 689, 519, 2518, 2796, 267, 543, 585, 519, 2199, 835, 519, 4781, 547, 11766, 1568, 568, 3964, 267, 1775, 4318, 269, 2417, 1568, 786, 711, 581, 18611, 593, 741, 1378, 563, 4131, 781, 2119, 547, 1039, 1079, 4632, 269, 1656, 1631, 2322, 538, 4395, 540, 873, 513, 2582, 10839, 3090, 269, 901, 568, 513, 17527, 9819, 11346, 269, 1403, 649, 2322, 621, 1354, 519, 4756, 2012, 910, 607, 513, 1267, 649, 1205, 519, 2012, 540, 713, 4756, 267, 1354, 519, 1599, 1289, 910, 519, 12572, 4082, 540, 519, 1599, 1289, 269, 1548, 585, 286, 6884, 596, 949, 991, 547, 946, 835, 1599, 547, 1184, 519, 4082, 540, 1776, 1599, 543, 1205, 513, 1599, 610, 1297, 607, 519, 3977, 267, 585, 1383, 267, 12719, 606, 22543, 9548, 7533, 269, 769, 824, 1913, 267, 596, 723, 519, 2702, 547, 2099, 519, 4082, 607, 1239, 543, 13861, 621, 269, 1717, 267, 952, 596, 2119, 547, 3247, 519, 9819, 540, 519, 2040, 540, 1079, 2338, 267, 1287, 519, 9273, 786, 711, 3247, 269, 901, 568, 1813, 547, 519, 1249, 602, 519, 2582, 10839, 11346, 1281, 711, 3247, 519, 14724, 5187, 2305, 540, 519, 4082, 630, 13678, 921, 4238, 593, 2338, 267, 5786, 540, 8454, 1040, 4746, 267, 519, 9273, 786, 711, 3247, 2676, 4517, 865, 267, 519, 7665, 9874, 1062, 1281, 711, 10646, 1063, 5690, 545, 3252, 543, 6310, 3252, 267, 538, 621, 789, 616, 835, 1893, 3693, 269, 769, 519, 16166, 540, 519, 3705, 614, 3294, 267, 519, 12427, 602, 666, 581, 7229, 616, 1572, 8231, 267, 1346, 12427, 602, 2611, 865, 9296, 1584, 539, 616, 1572, 10902, 269, 1677, 20006, 519, 9819, 540, 782, 10902, 267, 621, 568, 2556, 547, 1305, 519, 17205, 4781, 538, 519, 2796, 540, 9273, 563, 2171, 4121, 602, 519, 3705, 614, 30193, 1063, 519, 2035, 540, 513, 12572, 4082, 543, 922, 9819, 269, 769, 1018, 2665, 1281, 519, 9819, 1491, 1747, 286, 634, 1034, 6654, 2013, 568, 950, 649, 2119, 547, 5173, 930, 2186, 540, 4082, 630, 273, 1341, 476, 274, 267, 585, 1383, 1040, 1358, 9411, 519, 4082, 910, 3893, 922, 2495, 269, 1358, 7229, 519, 1599, 540, 519, 4661, 910, 3893, 519, 1871, 269, 9373, 519, 4756, 2012, 910, 1205, 922, 1871, 269, 1284, 4121, 602, 519, 1871, 540, 513, 4756, 666, 581, 2901, 606, 11046, 610, 513, 12572, 4082, 269, 1879, 3116, 568, 519, 9819, 286, 634, 9819, 4386, 950, 513, 4756, 568, 8655, 513, 1871, 269, 634, 1871, 547, 519, 1318, 540, 519, 3935, 568, 7229, 1354, 519, 7084, 267, 865, 950, 26471, 513, 4756, 547, 513, 12572, 4082, 267, 649, 2322, 513, 19722, 1665, 547, 3247, 713, 9819, 269, 1703, 568, 513, 2027, 2186, 540, 7084, 630, 18314, 3935, 11346, 264, 950, 10442 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21826, 569, 7304, 582, 908, 9466, 667, 8705, 12028, 1923, 18395, 910, 2233, 268, 21158, 2593, 910, 4989, 476, 1724, 628, 267, 476, 1708, 272, 454, 268, 4139, 14730, 21708, 10432, 568, 4989, 476, 276, 547, 476, 1321, 910, 3047, 306, 5652, 910, 4989, 476, 1724, 628, 267, 476, 1708, 272, 454, 268, 1412, 19185, 5455, 262, 23093, 4751, 4112, 2803, 595, 32385, 10620, 781, 17583, 547, 6611, 267, 519, 15937, 13571, 1512, 910, 595, 32385, 10620, 4975, 6826, 520, 910, 4989, 476, 1724, 628, 267, 476, 1708, 272, 454, 268, 3371, 781, 875, 547, 6952, 513, 5182, 3613, 3291, 539, 4989, 7064, 547, 891, 17651, 2621, 910, 4807, 261, 24610, 910, 4989, 476, 1724, 628, 267, 476, 1708, 272, 454, 268, 7799, 15104, 18395, 11833, 281, 634, 7720, 976, 540, 18347, 910, 7799, 15104, 26064, 910, 4989, 476, 1724, 628, 267, 476, 1708, 272, 454, 268, 4139, 17651, 2319, 7866, 2592, 540, 5182, 268, 14127, 15270, 910, 23968, 5622, 16402, 338, 1636, 5177, 910, 4989, 476, 1724, 628, 267, 476, 1708, 272, 454, 268, 3245, 3595, 27750, 538, 519, 6607, 547, 513, 16356, 538, 519, 6801, 281, 519, 24666, 26274, 540, 21540, 541, 10426, 328, 910, 634, 22062, 566, 22847, 910, 4989, 476, 1724, 628, 267, 476, 1708, 272, 454, 268, 18838, 538, 519, 25578, 281, 4989, 17651, 11706, 634, 27743, 13738, 2051, 5586, 1014, 910, 27743, 13738, 2051, 5586, 1014, 910, 4728, 476, 4029, 560, 267, 476, 1708, 272, 454, 268, 8752, 5533, 689, 15408, 1412, 5099, 3463, 262, 547, 17651, 910, 634, 26851, 910, 4728, 476, 4029, 560, 267, 476, 1708, 272, 454, 268, 8330, 8527, 24397, 281, 1452, 759, 2176, 786, 723, 596, 7487, 6801, 910, 7330, 9215, 31165, 910, 4728, 476, 4029, 560, 267, 476, 1708, 272, 454, 268, 26931, 12243, 1234, 548, 1162, 3115, 549, 947, 539, 12005, 540, 26890, 559, 3026, 321, 3121, 1923, 18395, 910, 2233, 268, 21158, 2593, 910, 4728, 476, 4029, 560, 267, 476, 1708, 272, 454, 268, 13562, 12002, 1265, 519, 1412, 338, 2378, 652, 1747, 262, 547, 2661, 538, 519, 27305, 10158, 910, 22032, 7220, 2593, 910, 4728, 476, 4029, 560, 267, 476, 1708, 272, 454, 268, 962, 24746, 781, 5182, 540, 519, 6801, 15422, 1923, 5240, 267, 11846, 267, 22868, 910, 8479, 560, 1144, 966, 785, 545, 1807, 910, 4728, 476, 4029, 560, 267, 476, 1708, 272, 454, 268, 7261, 3913, 639, 2473, 268, 272, 781, 853, 15362, 5336, 817, 4563, 670, 1961, 568, 2859, 7136, 633, 982, 13562, 12002, 23539, 1923, 18395, 910, 2233, 268, 21158, 2593, 910, 5988, 476, 1839, 628, 267, 476, 1708, 272, 454, 268, 13562, 12002, 5269, 513, 1284, 2273, 20570, 281, 589, 24517, 1674, 540, 9540, 518, 4563, 670, 3421, 700, 584, 6362, 7316, 1358, 1401, 4624, 513, 17266, 7136, 633, 4563, 670, 1961, 910, 2233, 24728, 291, 2905, 910, 5988, 476, 1839, 628, 267, 476, 1708, 272, 454, 268, 1772, 972, 606, 14220, 4816, 23377, 5182, 538, 519, 1647, 540, 8111, 2617, 320, 476, 2735, 278, 288, 286, 910, 20219, 293, 312, 654, 296, 3918, 910, 5988, 476, 1839, 628, 267, 476, 1708, 272, 454, 268, 4643, 8767, 8878, 1544, 15181, 281, 19936, 9029, 547, 7747, 7442, 2684, 529, 20503, 267, 799, 786, 1178, 2763, 3047, 538, 1862, 910, 6355, 6184, 3187, 910, 5988, 476, 1839, 628, 267, 476, 1708, 272, 454, 268, 1412, 21841, 30558, 540, 18395, 262, 737, 6506, 1055, 2228, 1813, 547, 2518, 6855, 910, 6611, 2593, 910, 5130, 476, 1704, 628, 267, 476, 1708, 272, 454, 268, 13562, 12002, 3561, 519, 4473, 543, 2887, 540, 513, 10355, 4767, 24974, 7544, 910, 772, 310, 5240, 910, 5130, 476, 1704, 628, 267, 476, 1708, 272, 454, 268, 13562, 12002, 7747, 519, 2669, 540, 513, 11397, 14925, 585, 519, 1101, 942, 910, 595, 7034, 5240, 910, 5130, 476, 1704, 628, 267, 476, 1708, 272, 454, 268, 13562, 12002, 723, 14754, 513, 11397, 14925, 5884, 585, 519, 1101, 942, 910, 24282, 299, 633, 910, 5130, 476, 1704, 628, 267, 476, 1708, 272, 454, 268, 13562, 12002, 1294, 513, 670, 842, 540, 519, 3400, 13901, 23027, 17461, 547, 519, 17807, 910, 17807, 4653, 910, 5130, 476, 1704, 628, 267, 476, 1708, 272, 454, 268, 18395, 476, 1708, 272, 281, 634, 7887, 2621, 1519, 513, 2706, 7599, 16264, 24256, 910, 634, 5700, 910, 5130, 476, 1704, 628, 267, 476, 1708, 272, 454, 268, 12824, 1265, 2178, 23456, 540, 4282, 1412, 22855, 262, 540, 8904, 6329, 910, 18395, 3767, 6732, 910, 5130, 476, 1704, 628, 267, 476, 1708, 272, 454, 268, 3245, 14368, 29636, 547, 1715, 7720, 976, 281, 634, 17651, 11706, 585, 476, 1708, 272, 910, 594, 600, 2750, 6312, 538, 519, 13814, 910, 5130, 476, 1704, 628, 267, 476, 1708, 272, 454, 268, 634, 8535, 2986, 634, 25578, 281, 16319, 3245, 6611, 9752, 18395, 1677, 634, 32559, 910, 5259, 4975, 8648, 910, 5259, 30949, 307, 1307, 2593, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 13562, 12002, 1175, 4362, 519, 9510, 543, 1034, 11397, 14925, 2479, 910, 634, 8921, 5680, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 13562, 12002, 13028, 25569, 338, 540, 4400, 13305, 601, 6290, 25578, 267, 3509, 593, 4256, 10158, 4934, 540, 519, 27305, 10158, 910, 17807, 4653, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 13562, 12002, 1305, 513, 1007, 16680, 543, 4855, 519, 674, 691, 4554, 30982, 269, 4706, 8752, 570, 809, 476, 1724, 269, 275, 9291, 542, 13012, 547, 28651, 721, 910, 17807, 4653, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 7087, 7478, 558, 625, 543, 1412, 770, 549, 12258, 11102, 1143, 262, 910, 595, 6195, 28022, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 8111, 24262, 267, 14368, 29636, 543, 824, 588, 1173, 5074, 543, 17651, 7389, 538, 519, 5177, 585, 476, 1708, 272, 910, 25480, 4634, 532, 5240, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 2859, 3650, 781, 24635, 3163, 595, 12522, 547, 1445, 593, 875, 24666, 2055, 616, 12943, 910, 654, 305, 3201, 2593, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 6723, 7917, 29336, 583, 1667, 281, 13562, 27658, 23910, 543, 13562, 9593, 910, 2817, 5794, 543, 6611, 7467, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 18395, 281, 634, 29737, 4541, 281, 28800, 639, 910, 21512, 299, 4653, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 7502, 4575, 6801, 7866, 4909, 3601, 540, 2339, 543, 2230, 6066, 910, 772, 300, 301, 5240, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 10289, 519, 654, 1180, 619, 540, 519, 13957, 21708, 910, 8055, 5441, 6182, 322, 22620, 19835, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 13562, 12002, 3657, 3767, 9866, 612, 539, 2060, 513, 3487, 7781, 13937, 593, 19026, 910, 634, 9533, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 717, 301, 22271, 1556, 4762, 3305, 539, 607, 674, 691, 4554, 30982, 17451, 9866, 5703, 1923, 18395, 910, 2233, 268, 21158, 2593, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 13562, 12002, 700, 11229, 519, 6196, 652, 543, 4107, 5940, 656, 30982, 538, 519, 17807, 4347, 1149, 519, 15020, 21940, 776, 540, 519, 17325, 762, 17807, 910, 2233, 24728, 291, 2905, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 1452, 1007, 5100, 24985, 2832, 547, 1930, 909, 588, 1173, 5074, 543, 17651, 547, 782, 910, 2098, 291, 15187, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 634, 1655, 10516, 538, 519, 14925, 281, 606, 19936, 3391, 547, 9140, 513, 1753, 16263, 910, 634, 22062, 566, 22847, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 590, 5979, 534, 5619, 3947, 23171, 19936, 606, 3750, 538, 519, 6607, 910, 23171, 5240, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 898, 781, 4013, 256, 13562, 12002, 6166, 717, 301, 22271, 1556, 568, 519, 1034, 11397, 14925, 2479, 2938, 910, 20219, 293, 312, 654, 296, 3918, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 634, 5182, 12440, 602, 7012, 1405, 281, 1215, 1705, 631, 10463, 18174, 5481, 540, 19936, 286, 910, 20219, 293, 312, 654, 296, 3918, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 12207, 4278, 2683, 609, 20503, 14951, 8120, 676, 5545, 14361, 910, 18395, 3767, 6732, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 3624, 568, 6679, 519, 1158, 781, 4102, 5925, 16263, 909, 547, 3486, 3744, 910, 6611, 2593, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 13562, 12002, 6027, 519, 3845, 547, 606, 3504, 14925, 910, 15306, 4112, 528, 626, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 7353, 20802, 543, 17651, 18798, 14376, 547, 3914, 585, 519, 6801, 910, 634, 9721, 8648, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 13562, 12002, 14236, 2436, 5925, 11237, 689, 15231, 5182, 568, 6169, 540, 9813, 1272, 910, 6115, 1401, 3133, 518, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 570, 8577, 2598, 1723, 951, 5565, 9540, 543, 24953, 1401, 26979, 1115, 1923, 18395, 910, 2233, 268, 21158, 2593, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 13562, 12002, 3605, 32584, 21386, 689, 897, 1601, 531, 16411, 910, 4639, 16127, 4653, 910, 5437, 476, 736, 628, 267, 476, 1708, 271, 454, 268, 25265, 7728, 14473, 281, 1452, 19936, 723, 513, 1007, 1259, 547, 1265, 11397, 10785, 1519, 930, 899, 3047, 910, 6820, 5240, 910, 5437, 476, 736, 628, 267, 476, 1708, 271, 454, 268, 19663, 909, 3728, 538, 519, 1360, 2038, 7122, 18395, 3767, 910, 18395, 3767, 6732, 910, 5239, 476, 3066, 628, 267, 476, 1708, 271, 454, 268, 8331, 781, 10760, 14298, 293, 8656, 16263, 25495, 1216, 538, 519, 9855, 781, 3037, 910, 18395, 18225, 910, 5239, 476, 3066, 628, 267, 476, 1708, 271, 454, 268, 13562, 12002, 1265, 1007, 1259, 547, 6968, 519, 21792, 14136, 476, 280, 910, 14970, 3163, 910, 5239, 476, 3066, 628, 267, 476, 1708, 271, 454, 268, 589, 476, 275, 294, 3060, 593, 519, 9855, 568, 3983, 3377, 585, 5925, 17651, 910, 634, 22062, 566, 5177, 910, 5239, 476, 3066, 628, 267, 476, 1708, 271, 454, 268, 3047, 781, 7887, 24985, 556, 13449, 1310, 3275, 540, 5046, 5008, 999, 910, 18395, 18225, 910, 5239, 476, 3066, 628, 267, 476, 1708, 271, 454, 268, 476, 276, 2081, 3885, 666, 2972, 17651, 1282, 519, 6855, 910, 6611, 2593, 910, 5239, 476, 3066, 628, 267, 476, 1708, 271, 454, 268, 23171, 19936, 8495, 519, 7872, 540, 4773, 540, 19026, 593, 519, 7599, 910, 23171, 11545, 5240, 910, 5239, 476, 3066, 628, 267, 476, 1708, 271, 454, 268, 13562, 12002, 4855, 519, 4591, 869, 539, 268, 11073, 26425, 540, 513, 667, 17768, 30982, 602, 7502, 3660, 2060, 519, 27305, 10158, 9291, 687, 540, 13012, 589, 2998, 910, 17807, 4653, 910, 5239, 476, 3066, 628, 267, 476, 1708, 271, 0, 24961, 540, 5245, 282, 11872, 593, 20334, 282, 7033, 5202, 282, 4985, 6742, 2106, 10370, 976, 1299, 623, 10154, 21651, 282, 476, 272, 634, 6370, 26753, 540, 16971, 1686, 17555, 670, 2801, 321, 747, 282, 476, 273, 24296, 9116, 1782, 3936, 1512, 2486, 623, 10154, 21651, 282, 476, 274, 634, 2070, 689, 519, 5087, 3204, 2088, 717, 534, 614, 282, 476, 275, 5245, 781, 7489, 20304, 6424, 21701, 282, 476, 276, 634, 2070, 689, 519, 7178, 24898, 16737, 282, 476, 277, 26790, 1686, 9697, 337, 542, 320, 26744, 282, 476, 278, 29062, 540, 5245, 9400, 6519, 282, 476, 279, 26880, 543, 2112, 9253, 534, 773, 11534, 523, 515, 597, 1676, 1299, 23745, 2480, 919, 282, 476, 280, 634, 1455, 6125, 286, 8241, 15114, 1325, 2581, 26652, 282, 476, 1015, 20079, 267, 1016, 31755, 267, 2950, 1530, 600, 639, 744, 262, 295, 534, 542, 563, 24938, 2106, 10370, 976, 729, 4535, 538, 5507, 543, 1631, 2729, 538, 17638, 267, 1141, 646, 568, 7905, 540, 3778, 543, 3864, 5525, 693, 519, 2160, 540, 1715, 3162, 12986, 269, 1261, 814, 3370, 2835, 543, 4930, 538, 1312, 3943, 12316, 1686, 267, 543, 538, 519, 1686, 540, 519, 1433, 269, 10765, 1568, 1644, 547, 519, 1686, 540, 2542, 543, 1603, 1331, 22419, 543, 5980, 538, 715, 842, 564, 7570, 31588, 1722, 5333, 630, 1220, 272, 1040 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13349, 30947, 320, 5516, 27190, 1389, 547, 3680, 454, 8601, 741, 6043, 267, 30947, 320, 2371, 666, 7985, 689, 1978, 1416, 9073, 267, 4611, 538, 1016, 9953, 2711, 2208, 543, 2949, 1072, 269, 1677, 2327, 519, 1134, 5630, 540, 707, 30947, 320, 267, 621, 568, 1898, 547, 581, 3222, 540, 543, 2057, 891, 1455, 25354, 563, 7021, 22476, 543, 7201, 22476, 30947, 320, 454, 19187, 14450, 568, 2629, 585, 30947, 320, 2371, 267, 607, 1312, 936, 22476, 543, 14015, 532, 666, 723, 8801, 2360, 269, 3683, 22476, 666, 1291, 547, 3597, 4232, 267, 1247, 14015, 532, 666, 2014, 18024, 543, 25224, 539, 2208, 563, 288, 574, 585, 513, 3666, 602, 2636, 519, 3037, 547, 3819, 5594, 1063, 1216, 902, 950, 14450, 707, 30947, 320, 269, 901, 11151, 519, 5072, 689, 9361, 538, 15459, 3037, 1247, 4180, 789, 4309, 7850, 7509, 563, 1103, 14363, 8752, 17148, 585, 30947, 320, 454, 12507, 3122, 320, 2371, 8853, 538, 6505, 267, 9940, 1769, 269, 1773, 5217, 873, 538, 1463, 7943, 666, 1085, 25403, 741, 3762, 267, 1247, 1970, 1769, 2175, 666, 15641, 324, 2208, 543, 1267, 538, 682, 1375, 344, 267, 4617, 11710, 563, 18893, 2711, 13307, 585, 707, 30947, 320, 2882, 513, 1906, 3952, 2476, 689, 513, 6505, 6885, 610, 1210, 22406, 1225, 13935, 547, 6882, 519, 8515, 540, 1463, 7943, 269, 17115, 8524, 707, 2030, 779, 16714, 585, 4191, 540, 1769, 2566, 543, 4188, 922, 4087, 9935, 563, 1103, 3932, 267, 1697, 1416, 543, 3007, 616, 1883, 547, 4509, 519, 1072, 543, 21755, 540, 707, 30947, 320, 2371, 269, 4197, 741, 2189, 4162, 267, 17306, 3037, 5888, 267, 543, 1818, 5483, 3664, 3823, 5214, 21187, 267, 971, 607, 6995, 12406, 267, 666, 3648, 3565, 547, 741, 2208, 543, 2949, 1134, 5630, 269, 1635, 9319, 1455, 1416, 9073, 543, 5464, 741, 1769, 543, 1216, 4170, 267, 596, 666, 1711, 606, 1604, 538, 799, 707, 30947, 320, 29263, 543, 5170, 547, 10508, 609, 922, 10875, 16714, 269, 0, 8702, 267, 1855, 1188, 7224, 24153, 454, 15916, 1855, 1188, 7224, 24153, 267, 9684, 596, 585, 7446, 547, 1224, 938, 2376, 593, 875, 547, 1118, 513, 3375, 269, 769, 713, 3728, 19550, 1158, 267, 649, 616, 7683, 5185, 609, 1585, 5079, 543, 3664, 602, 649, 991, 547, 1118, 269, 10435, 519, 1318, 3375, 568, 2629, 607, 621, 666, 7494, 1764, 938, 2729, 267, 3347, 267, 543, 11678, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1184, 540, 3375, 6194, 543, 1683, 596, 609, 3407, 4030, 547, 948, 596, 1118, 5483, 5079, 563, 272, 269, 4197, 519, 2956, 540, 3375, 6194, 912, 21430, 3664, 568, 606, 7915, 851, 540, 1272, 267, 543, 621, 4249, 513, 1713, 1909, 538, 5935, 938, 2104, 269, 6787, 621, 779, 14045, 593, 513, 4876, 2619, 267, 7446, 513, 1272, 7649, 267, 610, 1818, 1507, 4948, 5079, 267, 519, 3664, 649, 1118, 666, 723, 1279, 18835, 4539, 269, 4197, 519, 2956, 540, 3375, 6194, 568, 519, 1101, 1900, 2509, 4742, 606, 2500, 3375, 2173, 6033, 563, 273, 269, 634, 3375, 6194, 1184, 912, 763, 3375, 6194, 1184, 5161, 540, 1896, 5933, 267, 1519, 7114, 519, 1966, 267, 11018, 1344, 267, 10442, 3681, 267, 1818, 513, 3903, 267, 543, 6368, 267, 7598, 543, 17265, 519, 3375, 269, 3962, 3942, 3340, 6297, 7156, 543, 2079, 547, 2327, 602, 519, 1655, 2009, 3375, 568, 1500, 563, 274, 269, 11790, 7133, 3375, 6194, 912, 2467, 616, 1585, 2188, 602, 666, 3310, 938, 3375, 6194, 1184, 269, 1452, 1331, 2123, 2418, 267, 4978, 267, 4664, 267, 5007, 12503, 267, 543, 5042, 12886, 269, 898, 568, 1898, 547, 581, 3222, 540, 891, 2188, 543, 11441, 547, 1118, 7787, 3664, 602, 5447, 609, 938, 2418, 543, 3853, 563, 275, 269, 634, 1909, 540, 20932, 538, 3375, 6194, 912, 4504, 340, 819, 568, 606, 1271, 2460, 540, 3375, 6194, 269, 898, 568, 519, 2702, 547, 1118, 2656, 3664, 1759, 593, 938, 26756, 543, 8937, 4606, 269, 2755, 20932, 666, 581, 3407, 267, 621, 568, 1898, 547, 3666, 621, 609, 9266, 7744, 543, 23610, 1344, 547, 1118, 5483, 3664, 563, 276, 269, 634, 1764, 540, 2250, 2833, 593, 3375, 6194, 912, 5978, 2250, 2833, 1404, 513, 1713, 1909, 538, 5935, 938, 3375, 6194, 5759, 269, 15474, 2833, 666, 2285, 721, 519, 6015, 547, 1118, 2147, 3664, 538, 519, 2104, 267, 1247, 2942, 2833, 666, 1118, 721, 811, 18762, 543, 11688, 26938, 269, 14484, 532, 593, 2250, 3664, 543, 1565, 689, 873, 666, 948, 721, 1118, 1732, 5079, 538, 519, 2104, 563, 277, 269, 634, 2956, 540, 6236, 8925, 912, 2691, 1818, 513, 3375, 267, 621, 568, 2629, 547, 2015, 543, 6218, 1114, 8925, 269, 10289, 2789, 3681, 2636, 721, 547, 9260, 519, 5294, 543, 931, 267, 2015, 1114, 5380, 267, 543, 1118, 606, 5483, 3903, 269, 3680, 532, 7522, 16490, 1145, 543, 1373, 1930, 547, 8925, 666, 1291, 547, 1732, 3375, 6194, 563, 278, 269, 634, 1909, 540, 3375, 6194, 538, 2123, 2208, 912, 9336, 3375, 649, 1118, 814, 519, 1761, 547, 3565, 547, 938, 2123, 2208, 543, 1646, 269, 4804, 689, 938, 3664, 267, 1312, 18454, 543, 14286, 267, 2337, 721, 2744, 4030, 267, 1628, 6043, 267, 543, 1020, 2500, 3375, 6194, 1983, 269, 16871, 3375, 6194, 607, 513, 1565, 1184, 666, 1291, 547, 6024, 1582, 21553, 2889, 22777, 563, 11390, 548, 6798, 7315, 15854, 918, 2131, 584, 22462, 1215, 547, 5269, 513, 17423, 454, 268, 6490, 2426, 330, 1074, 534, 6539, 320, 544, 1263, 3711, 559, 1183, 1584, 639, 534, 21583, 751, 6312, 15854, 678, 553, 1308, 563, 268, 16588, 1731, 534, 6539, 320, 737, 2632, 1503, 693, 553, 554, 573, 1575, 15854, 11792, 320, 1244, 534, 6539, 320, 563, 268, 631, 3188, 3387, 836, 16988, 737, 2678, 2086, 559, 534, 533, 1263, 3711, 559, 534, 1183, 1584, 639, 534, 21583, 552, 325, 2131, 339, 604, 563, 268, 6490, 2426, 330, 1074, 534, 6539, 320, 1517, 1690, 541, 546, 926, 533, 1263, 15401, 534, 15854, 512, 3518, 7795, 3813, 4673, 533, 1026, 14508, 563, 268, 6490, 704, 31343, 520, 1183, 332, 2086, 10224, 10874, 335, 1731, 597, 737, 8539, 15854, 1387, 529, 529, 563, 268, 631, 1263, 584, 30231, 588, 637, 15854, 1183, 6883, 684, 1146, 563, 268, 6490, 6545, 574, 1779, 534, 10652, 340, 836, 15854, 1494, 839, 328, 21583, 740, 320, 563, 268, 6490, 518, 1663, 16988, 530, 752, 14654, 15854, 10069, 328, 21583, 536, 1415, 752, 2150, 4157, 1509, 13630, 12494, 836, 16988, 522, 27923, 15854, 1217, 14515, 563, 268, 570, 573, 752, 13276, 2728, 740, 320, 1183, 335, 770, 1014, 546, 15401, 533, 1263, 3711, 559, 534, 1183, 1584, 639, 534, 563, 268, 631, 2426, 7219, 740, 320, 751, 16988, 534, 552, 330, 560, 1716, 531, 21583, 1509, 335, 1263, 541, 340, 6062, 1183, 1584, 639, 534, 6539, 320, 563, 268, 645, 13453, 2367, 6614, 321, 629, 16988, 678, 14505, 4050, 13433, 23750, 795, 11986, 1183, 1584, 639, 534, 22619, 752, 10874, 13757, 559, 563, 268, 6490, 2426, 330, 1074, 534, 740, 1415, 320, 737, 525, 531, 25301, 693, 879, 1183, 326, 698, 23750, 546, 15401, 533, 1263, 3711, 559, 534, 1183, 1584, 639, 534, 563, 268, 4498, 639, 2367, 724, 611, 777, 328, 737, 2945, 31343, 839, 328, 546, 926, 1183, 1584, 639, 534, 21583, 1019, 3711, 559, 563, 268, 570, 573, 752, 5033, 7699, 1183, 1584, 639, 534, 546, 777, 520, 1509, 340, 2532, 534, 5033, 7699, 610, 836, 1768, 12221, 520, 563, 19522, 585, 10435, 14568, 5463, 2888, 454, 272, 269, 16294, 707, 3804, 281, 22682, 5581, 1018, 596, 1616, 547, 3035, 610, 519, 1966, 596, 1616, 547, 4194, 563, 273, 269, 20283, 1344, 281, 11814, 782, 4143, 1344, 543, 5013, 1644, 547, 519, 3375, 563, 274, 269, 21414, 519, 3681, 281, 6333, 519, 5294, 543, 931, 540, 1142, 4781, 543, 5659, 741, 1761, 4093, 563, 275, 269, 11565, 707, 26756, 281, 19415, 547, 707, 8937, 4606, 543, 20932, 1247, 1818, 3664, 563, 276, 269, 16418, 5796, 281, 13693, 609, 11967, 2043, 610, 3343, 4274, 8369, 547, 2744, 1114, 5380, 563, 277, 269, 6333, 519, 1279, 3856, 1764, 281, 6056, 827, 519, 1279, 3856, 4539, 540, 707, 3375, 563, 278, 269, 6875, 7229, 4220, 281, 6884, 267, 2921, 7229, 4220, 666, 1291, 547, 1007, 3255, 543, 2208, 563, 11902, 17988, 827, 1215, 547, 5269, 513, 17423, 454, 272, 269, 1548, 1058, 594, 798, 952, 594, 666, 1406, 1118, 513, 3375, 888, 2252, 596, 616, 10010, 547, 1118, 513, 3375, 267, 1491, 513, 1900, 1394, 543, 5659, 519, 3510, 1843, 1947, 269, 6333, 519, 2139, 3681, 267, 741, 1761, 4093, 267, 543, 5077, 609, 11967, 2043, 585, 5796, 563, 273, 269, 1215, 666, 594, 7753, 3375, 6194, 4160, 888, 13356, 1707, 6194, 4160, 568, 1455, 267, 855, 972, 616, 2081, 547, 7753, 621, 269, 16505, 519, 3375, 1524, 883, 4130, 3268, 267, 5531, 782, 519, 2556, 1344, 267, 543, 1445, 593, 519, 2318, 4093, 540, 1818, 513, 3375, 563, 274, 269, 1548, 1909, 1281, 20932, 1404, 538, 3375, 6194, 888, 4504, 340, 819, 666, 1683, 3407, 4030, 543, 3391, 721, 2509, 519, 1318, 3375, 269, 1717, 267, 621, 1058, 581, 7059, 609, 9266, 7744, 543, 23610, 1344, 547, 2327, 5483, 5079, 563, 275, 269, 1215, 798, 4664, 1860, 3375, 6194, 888, 10387, 19600, 666, 3310, 3375, 6194, 676, 804, 537, 3429, 10385, 543, 3056, 547, 21678, 5079, 269, 898, 568, 1271, 547, 11760, 543, 4383, 4664, 1247, 1818, 3664, 547, 2327, 7787, 640, 563, 276, 269, 1772, 621, 1732, 547, 1118, 3664, 4805, 610, 4125, 1866, 888, 763, 3375, 547, 4125, 1866, 610, 1118, 513, 3375, 4805, 5673, 593, 519, 3510, 269, 769, 930, 2665, 267, 5275, 5796, 543, 5473, 1866, 666, 1683, 3407, 5380, 267, 1247, 538, 824, 7653, 267, 2123, 10385, 949, 581, 811, 3617, 563, 277, 269, 1215, 798, 594, 4225, 1250, 3664, 888, 26212, 527, 1944, 3664, 3322, 6236, 519, 23473, 267, 2956, 267, 543, 1761, 1764, 540, 1142, 3903, 269, 10576, 519, 1034, 2565, 3664, 543, 21138, 942, 543, 2200, 9935, 563, 278, 269, 1548, 1058, 594, 798, 952, 594, 26845, 513, 3375, 594, 1500, 888, 2252, 596, 26845, 513, 3375, 596, 1500, 267, 2992, 593, 519, 4128, 3297, 707, 26845, 543, 519, 4245, 596, 666, 1451, 689, 621, 269, 2422, 713, 1995, 547, 1118, 1732, 3664, 538, 519, 2104, 543, 2057, 23029, 593, 519, 2250, 563, 1103, 3932, 267, 519, 2702, 547, 1118, 5483, 3664, 568, 513, 3407, 5578, 602, 666, 7494, 1764, 938, 2729, 269, 1635, 1620, 519, 2956, 540, 3375, 6194, 267, 1739, 513, 11295, 3375, 6194, 1184, 267, 6236, 8925, 267, 543, 13326, 20932, 543, 7954, 267, 649, 666, 3986, 938, 3375, 6194, 5759, 269, 5457, 267, 1169, 3375, 649, 1118, 814, 519, 1761, 547, 3337, 938, 2104, 267, 865, 11441, 547, 1118, 5079, 602, 5447, 609, 707, 2418, 543, 3853, 563, 2171, 4126, 713, 2376, 814, 3177, 596, 609, 3407, 4030, 543, 5583, 593, 875, 547, 1118, 513, 3375, 269, 3399, 7311, 891, 3741, 538, 707, 3375, 6194, 1184, 543, 7198, 519, 2318, 1764, 621, 666, 723, 593, 707, 1272, 269, 5213, 1406, 19292, 267, 1376, 1818, 5483, 3664, 2221, 2336, 272, 269, 634, 1344, 3177, 538, 713, 2376, 568, 585, 2489, 21141, 5301, 1152, 543, 1058, 711, 581, 2808, 607, 3318, 5796, 563, 273, 269, 634, 3375, 6194, 1184, 949, 4268, 1759, 593, 1367, 6381, 267, 543, 621, 568, 1898, 547, 2015, 519, 1808, 2796, 540, 1142, 3375, 563, 274, 269, 634, 4093, 540, 3664, 949, 4268, 543, 616, 1641, 547, 5007, 2188, 3564, 938, 1852, 563, 275, 269, 898, 568, 5227, 547, 5077, 609, 4143, 4966, 610, 4648, 585, 1808, 3375, 6194, 4170, 563, 14188, 596, 585, 2542, 713, 2376, 269, 1284, 4126, 596, 1336, 621, 13181, 543, 5363, 269, 6153, 9939, 609, 707, 3375, 6194, 3460, 256, 0, 20756, 267, 16921, 269, 1924, 538, 707, 5163, 2042, 267, 596, 2196, 2066, 713, 8360, 3432, 532, 909, 610, 2469, 5488, 267, 543, 596, 1522, 1491, 602, 547, 1611, 602, 707, 10231, 568, 2318, 269, 1809, 581, 6297, 267, 1317, 713, 568, 711, 2141, 1611, 713, 269, 4841, 1205, 713, 2468, 5529, 909, 782, 519, 942, 269, 1924, 538, 713, 3381, 267, 594, 6415, 27613, 1397, 596, 875, 519, 10231, 267, 1129, 2360, 267, 6991, 543, 3432, 269, 594, 6415, 27613, 1397, 596, 2731, 267, 2731, 2241, 1259, 547, 1589, 827, 713, 269, 2913, 781, 2638, 621, 856, 269, 1924, 16921, 267, 1586, 2318, 10231, 1281, 711, 1611, 3432 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1421, 538, 2665, 540, 2022, 32034, 2566, 4713, 264, 616, 849, 6594, 543, 1256, 519, 7872, 540, 3395, 2713, 538, 20117, 2634, 3889, 543, 1210, 873, 607, 5007, 1949, 267, 5532, 7658, 5471, 29182, 543, 1979, 1673, 3925, 958, 547, 519, 3461, 779, 2634, 267, 568, 8268, 589, 1016, 7615, 540, 4119, 290, 690, 568, 519, 1353, 540, 519, 2078, 1063, 2596, 10512, 2829, 540, 519, 2634, 267, 971, 607, 3207, 267, 607, 1134, 607, 540, 3232, 2238, 971, 607, 7544, 610, 6947, 547, 2575, 543, 741, 1764, 593, 11160, 13586, 5042, 7207, 269, 634, 4119, 290, 690, 1382, 2361, 814, 2484, 23568, 5683, 543, 10952, 6286, 269, 1548, 616, 519, 3741, 602, 1058, 3391, 721, 950, 1210, 5061, 543, 824, 2409, 585, 28472, 519, 7210, 2634, 543, 585, 7393, 17133, 538, 3339, 12058, 286, 769, 519, 2063, 1906, 1296, 972, 814, 1044, 513, 3395, 7521, 538, 519, 3621, 543, 6915, 25677, 2146, 827, 891, 2152, 269, 634, 1857, 267, 3744, 543, 6608, 723, 3323, 547, 1865, 519, 1514, 267, 5683, 543, 3609, 6286, 540, 5042, 10276, 327, 3496, 2409, 563, 763, 2104, 540, 1480, 17133, 269, 3848, 476, 277, 12651, 606, 4277, 2243, 1107, 616, 649, 782, 1761, 21184, 525, 286, 1684, 649, 782, 723, 3592, 19957, 7207, 602, 616, 968, 10767, 1221, 892, 538, 938, 27090, 5121, 543, 602, 616, 1152, 3006, 6829, 538, 2189, 2043, 267, 581, 621, 1390, 21184, 525, 630, 3697, 18160, 610, 20266, 27591, 264, 610, 26144, 5260, 1218, 286, 1656, 952, 713, 568, 8197, 519, 2013, 267, 1287, 875, 1522, 649, 3927, 1569, 713, 12617, 1761, 286, 2107, 1058, 649, 286, 1284, 798, 865, 7683, 950, 1565, 513, 1007, 5578, 267, 950, 29412, 547, 1491, 1007, 11507, 543, 4952, 519, 2943, 7164, 269, 1809, 593, 1283, 540, 713, 5571, 6923, 9687, 5042, 12588, 267, 799, 649, 1780, 689, 835, 547, 519, 824, 3842, 1344, 4066, 267, 649, 723, 9411, 519, 2085, 1141, 649, 666, 2253, 547, 32433, 17133, 676, 2047, 2625, 532, 519, 2634, 609, 2413, 4066, 267, 1312, 5691, 543, 2168, 269, 1284, 1058, 946, 891, 1007, 7207, 1360, 5402, 267, 607, 789, 1223, 5732, 1689, 519, 9759, 540, 945, 649, 616, 563, 1432, 568, 2312, 568, 602, 649, 616, 2907, 538, 519, 4119, 290, 690, 5736, 267, 1141, 1463, 12879, 540, 519, 2634, 779, 2534, 666, 32433, 1480, 17133, 269, 634, 1433, 4119, 13586, 595, 10744, 267, 12995, 676, 16740, 534, 1530, 613, 341, 543, 8361, 4460, 1090, 267, 568, 519, 1101, 5758, 540, 713, 6909, 1007, 3184, 538, 1480, 1686, 563, 763, 1433, 3357, 547, 1272, 1739, 519, 1390, 1719, 6383, 676, 513, 2027, 3390, 593, 519, 1482, 1888, 3370, 538, 519, 4760, 13571, 4536, 538, 29249, 563, 306, 29022, 29918, 1637, 585, 4119, 13586, 32185, 267, 32190, 574, 19318, 10263, 543, 595, 10744, 454, 15463, 3386, 2934, 9687, 1282, 4720, 531, 942, 21269, 616, 540, 10700, 5413, 585, 6668, 543, 616, 1510, 9868, 1785, 12147, 6378, 269, 1677, 11883, 6707, 609, 519, 5571, 2242, 540, 2825, 2175, 9648, 1282, 519, 14438, 540, 2043, 267, 3606, 6127, 267, 3850, 4028, 543, 2500, 14624, 602, 616, 711, 9138, 676, 4719, 10148, 267, 616, 2838, 563, 11693, 891, 6654, 2115, 585, 5068, 14624, 267, 621, 5526, 1152, 2067, 602, 2634, 29010, 540, 1585, 3029, 14687, 547, 513, 2489, 543, 24819, 4183, 1459, 538, 782, 10444, 543, 5179, 23857, 269, 769, 713, 2796, 267, 621, 568, 9670, 602, 519, 10206, 540, 2937, 5778, 27415, 640, 814, 711, 3964, 3294, 19692, 982, 519, 3735, 5216, 625, 540, 519, 2063, 2540, 269, 6969, 602, 267, 519, 23798, 2146, 22885, 2937, 12058, 607, 1373, 1875, 13807, 2880, 563, 19617, 2730, 2090, 936, 519, 2063, 5756, 723, 3254, 602, 8226, 267, 2623, 543, 17133, 616, 711, 3586, 267, 855, 16271, 547, 32032, 12381, 2429, 513, 14438, 269, 11683, 21876, 1331, 1646, 543, 10172, 607, 1134, 607, 19260, 1739, 5945, 5829, 2634, 556, 32360, 269, 4033, 2959, 22212, 2623, 22132, 689, 10148, 16109, 896, 2175, 540, 4948, 5158, 267, 552, 3052, 1421, 1880, 885, 540, 13567, 1519, 1272, 16654, 543, 12675, 14501, 540, 5230, 16131, 540, 10444, 14242, 607, 12013, 3320, 1459, 538, 9420, 4858, 4068, 3988, 610, 12372, 269, 898, 1058, 581, 15091, 602, 267, 538, 19220, 540, 519, 8101, 2179, 540, 5068, 19206, 267, 1949, 1590, 4865, 513, 6190, 13598, 6617, 547, 15549, 5150, 4393, 269, 1230, 576, 643, 2406, 267, 972, 568, 513, 4123, 11325, 1063, 1110, 604, 6636, 543, 6617, 563, 763, 4154, 3044, 547, 3035, 1164, 7400, 1983, 568, 547, 10929, 1279, 5712, 540, 2866, 269, 1280, 1383, 267, 621, 3217, 1896, 9937, 540, 5215, 540, 3108, 540, 7920, 2259, 547, 1020, 7574, 1983, 3335, 4767, 538, 3318, 12372, 269, 5381, 2338, 849, 3180, 585, 824, 4274, 12644, 538, 585, 3236, 5026, 269, 634, 2487, 1646, 540, 1875, 29554, 9196, 2553, 814, 1500, 621, 2009, 547, 5659, 519, 1764, 540, 2866, 543, 2259, 849, 538, 3425, 269, 1452, 13753, 723, 3177, 11566, 2963, 602, 3573, 946, 543, 2259, 1267, 538, 8101, 2242, 540, 2404, 9729, 673, 11269, 3976, 30260, 3105, 1239, 689, 3662, 2090, 269, 1306, 513, 1267, 267, 513, 1804, 2146, 538, 23798, 1631, 9388, 609, 2634, 2242, 859, 12097, 676, 2866, 543, 2259, 547, 3313, 3601, 543, 6127, 540, 5778, 27415, 640, 563, 8340, 902, 689, 971, 2090, 17538, 602, 3592, 1169, 2009, 2962, 270, 21232, 566, 270, 10177, 1456, 5540, 2634, 3919, 269, 1306, 513, 12343, 267, 12058, 1590, 581, 9833, 607, 29858, 9738, 2429, 1272, 269, 769, 513, 1259, 267, 713, 2306, 12058, 2147, 547, 6091, 281, 1454, 6165, 3123, 873, 547, 4228, 267, 1247, 4057, 946, 2306, 873, 16756, 269, 634, 1007, 5048, 568, 602, 713, 711, 1152, 6585, 585, 519, 11095, 1974, 267, 610, 585, 6198, 2242, 538, 4079, 267, 855, 849, 585, 7293, 2242, 1282, 15296, 269, 1924, 267, 4376, 835, 1281, 3762, 513, 10250, 538, 519, 2634, 269, 634, 4158, 2427, 540, 602, 568, 602, 849, 3388, 835, 1281, 711, 798, 3762, 15244, 267, 799, 10522, 602, 519, 11601, 540, 1983, 543, 7207, 666, 15991, 581, 9738, 1510, 2259, 269, 1703, 568, 1100, 16171, 540, 1983, 267, 1317, 519, 2634, 12227, 5817, 873, 786, 14016, 622, 952, 711, 3742, 267, 799, 814, 513, 1297, 540, 4049, 6286, 3226, 2629, 538, 519, 2361, 540, 10172, 563, 2690, 1896, 1296, 267, 513, 1007, 543, 4241, 9015, 814, 7960, 267, 1141, 5778, 27023, 1235, 1631, 6707, 1118, 946, 540, 5778, 27415, 640, 3741, 547, 16578, 1018, 666, 581, 1572, 6098, 2634, 29010, 269, 901, 568, 2944, 676, 1797, 540, 10873, 602, 798, 711, 7048, 593, 519, 6671, 14842, 540, 946, 267, 2866, 543, 2259, 269, 5502, 267, 676, 13389, 3989, 2634, 2127, 267, 2901, 998, 10444, 14242, 267, 610, 998, 1463, 14242, 540, 519, 2634, 630, 2421, 1797, 540, 10489, 31424, 6419, 14242, 1070, 1565, 3157, 666, 581, 13251, 269, 2755, 267, 693, 1101, 16145, 267, 971, 4485, 1058, 711, 960, 693, 782, 267, 972, 568, 1631, 2963, 540, 606, 3592, 5863, 12117, 267, 1519, 9283, 540, 2241, 5179, 543, 829, 24632, 4247, 267, 855, 849, 1454, 811, 5042, 569, 14053, 5759, 563, 1607, 3184, 786, 1683, 513, 2689, 540, 2487, 960, 1141, 1480, 2623, 543, 8226, 814, 1044, 9168, 998, 6071, 4598, 267, 1775, 4318, 1421, 10444, 14242, 10873, 6220, 28138, 10873, 1031, 547, 7369, 5348, 25443, 6771, 543, 12117, 269, 769, 1840, 267, 649, 786, 13713, 17412, 4244, 8942, 1759, 593, 10444, 14242, 609, 519, 3804, 547, 2087, 1480, 3252, 563, 25821, 31882, 3598, 14242, 454, 290, 5255, 3598, 14382, 12330, 723, 1044, 1031, 585, 1082, 1296, 547, 11177, 3280, 8226, 538, 2550, 609, 7096, 9300, 710, 1116, 18555, 1145, 269, 1635, 30788, 18398, 17974, 8229, 11103, 267, 519, 3844, 17391, 1062, 666, 581, 18928, 15181, 547, 2226, 519, 4390, 585, 6217, 269, 589, 1101, 2272, 540, 713, 1935, 666, 581, 14360, 1394, 5176, 3368, 513, 2540, 269, 1879, 9001, 519, 2565, 1974, 585, 4633, 11601, 267, 4791, 1239, 2303, 602, 1453, 5579, 5896, 1354, 476, 273, 1296, 540, 2085, 723, 606, 5140, 4960, 540, 16565, 4633, 1620, 269, 15379, 15498, 14242, 1281, 711, 7048, 593, 513, 3501, 32649, 540, 3339, 3270, 540, 15672, 8849, 2534, 267, 855, 593, 513, 556, 19543, 540, 3403, 3270, 16109, 689, 606, 5841, 10444, 3403, 3842, 5122, 14242, 269, 769, 713, 2631, 267, 519, 2702, 585, 11543, 22812, 3766, 8724, 4633, 1620, 25358, 676, 31882, 3598, 14242, 568, 12913, 676, 1007, 2994, 540, 9729, 673, 4393, 602, 4196, 2362, 4393, 5933, 547, 4612, 1007, 3270, 21945, 689, 519, 13020, 344, 269, 1452, 2994, 616, 2219, 547, 10836, 689, 5068, 19206, 538, 3210, 547, 519, 10148, 13684, 676, 519, 3601, 540, 519, 1007, 3403, 7194, 602, 538, 2490, 1267, 689, 519, 14242, 4640, 6964, 563, 309, 698, 531, 8229, 14242, 454, 27154, 2090, 723, 3254, 602, 513, 30010, 540, 10444, 15128, 609, 5122, 14242, 540, 519, 669, 22223, 21544, 13540, 21828, 529, 12958, 1279, 18835, 2242, 538, 519, 9729, 673, 3919, 269, 1717, 267, 607, 713, 1106, 540, 6304, 568, 3810, 12362, 267, 621, 568, 711, 4052, 585, 4791, 946, 269, 1306, 13112, 531, 8229, 14242, 12153, 519, 5305, 540, 29648, 617, 22399, 1634, 547, 3895, 5068, 2242, 267, 621, 568, 513, 1447, 12362, 1505, 585, 10451, 6098, 8849, 29010, 676, 30010, 13112, 639, 8229, 14242, 609, 10444, 11378, 269, 1703, 2421, 267, 519, 12117, 540, 13112, 531, 8229, 14242, 538, 7393, 29010, 4667, 547, 9114, 538, 519, 5348, 1120, 2065, 2962, 540, 2789, 29648, 617, 22399, 9117, 538, 519, 19548, 16794, 543, 824, 2634, 4525, 269, 769, 1249, 267, 621, 729, 5063, 7152, 602, 538, 606, 3662, 2203, 540, 13046, 267, 1141, 519, 17391, 16794, 729, 28811, 676, 7368, 4598, 547, 7920, 6846, 267, 513, 7368, 30010, 540, 18565, 609, 5618, 20512, 540, 13112, 639, 8229, 14242, 4625, 17515, 519, 12214, 543, 8965, 31426, 540, 13046, 538, 6846, 7721, 12723, 14148, 269, 901, 5267, 602, 519, 1935, 1522, 723, 1761, 4791, 2418, 563, 29919, 4641, 543, 21284, 4641, 3457, 454, 29919, 4641, 3156, 2709, 1007, 3255, 547, 1353, 711, 1152, 2634, 11852, 896, 8966, 14242, 2175, 267, 855, 849, 585, 606, 19349, 540, 9300, 574, 19318, 543, 5042, 3252, 538, 3425, 269, 22994, 1006, 15717, 568, 513, 4749, 11402, 7613, 1419, 4767, 1282, 10172, 610, 538, 7681, 609, 14715, 3676, 971, 607, 19576, 779, 2068, 630, 11520, 264, 610, 2789, 26379, 630, 5960, 1040, 20010, 547, 6671, 14317, 676, 1610, 23956, 610, 6646, 267, 1007, 8942, 1210, 6806, 2000, 17274, 3308, 543, 17391, 5955, 3177, 998, 21284, 4641, 610, 5691, 4641, 3457, 723, 1044, 3254, 547, 1683, 9621, 11507, 538, 519, 2126, 540, 32376, 4713, 563, 20428, 338, 723, 547, 5957, 513, 1305, 540, 3457, 9967, 540, 513, 1507, 6482, 10687, 1584, 566, 1770, 7923, 547, 519, 3461, 779, 7802, 267, 513, 2212, 25236, 539, 2890, 5891, 267, 543, 1274, 10746, 269, 634, 6482, 10687, 1584, 566, 1770, 568, 7768, 540, 513, 1617, 807, 343, 658, 5787, 10309, 267, 513, 22315, 267, 543, 513, 29668, 518, 269, 634, 17102, 267, 5665, 538, 606, 13261, 6806, 2000, 17274, 7154, 267, 10525, 513, 1272, 20695, 5691, 2638, 518, 4580, 2389, 6150, 6989, 2706, 574, 12723, 593, 519, 1483, 1158, 676, 1294, 28443, 14296, 269, 634, 6806, 2000, 17274, 610, 5955, 1523, 10522, 602, 519, 3432, 540, 519, 10291, 568, 711, 608, 27238, 1305, 855, 568, 606, 6364, 540, 519, 6972, 3432, 540, 519, 3593, 269, 634, 3308, 1198, 568, 519, 1482, 607, 602, 2813, 950, 6972, 936, 3618, 3613, 566, 776, 10291, 971, 607, 513, 1483, 512, 6150, 6989, 269, 6684, 267, 519, 11733, 540, 519, 17391, 29692, 568, 5462, 676, 519, 11733, 540, 519, 3268, 267, 711, 13030, 17930, 563, 763, 1985, 3942, 3322, 519, 3593, 15725, 519, 32376, 4806, 547, 1711, 513, 3586, 9804, 2095, 543, 513, 24754, 17391, 29692, 269, 634, 5691, 267, 21284, 6989, 20781, 29858, 547, 519, 16045, 779, 1378, 5163, 543, 968, 332, 7174, 892, 4724, 1864, 693, 519, 3432, 1305, 676, 519, 3593, 607, 6027, 676, 519, 5787, 10309, 269, 634, 512, 6150, 6989, 6411, 607, 513, 3001, 3308, 4159, 4171, 3432, 568, 6383, 538, 513, 2067, 5955, 6752, 676, 922, 1378, 5163, 269, 634, 7470, 2636, 519, 3593, 547, 1900, 593, 519, 17981, 609, 1279, 26058, 607, 789, 3802, 267, 1498, 789, 798, 711, 1831, 23762, 610, 9168, 1759, 593, 3105, 1900, 13080, 269, 589, 11931, 32376, 15222, 3278, 519, 3461, 779 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15155, 1186, 538, 9705, 723, 1585, 2042, 1282, 4070, 543, 645, 293, 32662, 2305, 269, 898, 568, 2556, 547, 2087, 519, 7355, 585, 4180, 4052, 10688, 543, 3106, 563, 19686, 281, 11114, 3044, 267, 4139, 9208, 263, 3041, 302, 476, 21497, 5655, 267, 476, 1001, 272, 1070, 4436, 9208, 20573, 2562, 476, 5197, 2412, 268, 272, 267, 1001, 271, 1070, 22341, 9208, 263, 302, 2894, 3036, 300, 645, 476, 8182, 271, 267, 476, 1001, 278, 1070, 18230, 9208, 18217, 768, 590, 8656, 476, 4335, 267, 476, 1220, 280, 1070, 8225, 24092, 16360, 5648, 11621, 6651, 267, 476, 1001, 278, 1070, 1977, 9208, 263, 4696, 288, 11621, 267, 476, 1001, 271, 264, 941, 514, 4034, 580, 730, 543, 9916, 269, 589, 3102, 6454, 540, 519, 19856, 10380, 4441, 568, 2889, 12723, 269, 11778, 281, 634, 19856, 568, 513, 2556, 9744, 585, 519, 11064, 1863, 1569, 543, 7299, 10009, 1993, 519, 16981, 269, 898, 4927, 581, 8704, 609, 3102, 7156, 540, 519, 3617, 9386, 540, 1492, 19856, 267, 519, 3845, 540, 519, 6024, 9386, 267, 519, 6023, 543, 909, 1056, 585, 31355, 3106, 269, 769, 4650, 547, 2087, 13418, 267, 4259, 519, 1697, 9386, 543, 12145, 519, 3259, 540, 519, 9386, 616, 854, 1271, 267, 543, 9283, 616, 2838, 547, 519, 2157, 4843, 676, 3486, 543, 4914, 1056, 1841, 269, 634, 15458, 4441, 540, 11114, 1876, 543, 645, 293, 13995, 4441, 1058, 581, 5693, 574, 2889, 1386, 865, 607, 711, 547, 581, 31495, 2181, 1540, 538, 4070, 543, 4446, 8175, 5131, 27872, 269, 1955, 6473, 281, 17220, 543, 4914, 4441, 1058, 581, 12649, 547, 2327, 4052, 10688, 543, 3106, 269, 1656, 1260, 11772, 633, 6454, 3800, 1058, 581, 4843, 998, 6024, 1382, 269, 0, 2026, 7414, 6082, 3068, 606, 7334, 2104, 1813, 547, 519, 1764, 540, 2916, 1689, 267, 1007, 2079, 814, 7000, 5245, 568, 4730, 513, 1713, 1909, 538, 741, 27757, 563, 17471, 5434, 3950, 518, 8693, 13138, 19781, 2982, 5245, 781, 5434, 616, 17784, 1346, 30461, 676, 519, 1964, 540, 519, 3148, 267, 1519, 1715, 10215, 563, 17442, 684, 3481, 676, 2916, 5859, 518, 1325, 717, 648, 693, 30505, 2767, 593, 13723, 630, 29985, 942, 1070, 519, 4830, 9477, 1907, 19306, 1239, 593, 936, 476, 7761, 267, 1822, 6703, 1519, 1379, 2371, 543, 3282, 1201, 514, 7685, 689, 2066, 519, 8608, 563, 2108, 2080, 781, 1018, 649, 616, 12419, 2221, 281, 589, 2347, 11891, 593, 519, 1713, 5434, 4609, 538, 476, 25240, 2477, 543, 11182, 267, 476, 3707, 4759, 6082, 282, 5434, 689, 1169, 2101, 5823, 267, 543, 1016, 5498, 2758, 2223, 646, 1767, 563, 763, 5304, 7902, 6678, 337, 6817, 676, 519, 1554, 781, 14245, 267, 17444, 856, 8254, 11436, 543, 1775, 4942, 2158, 547, 7001, 519, 4090, 269, 2136, 8315, 14199, 29731, 21293, 717, 17458, 637, 9447, 513, 3532, 4633, 267, 6031, 519, 22987, 3177, 676, 6004, 717, 648, 781, 1907, 1131, 1118, 621, 968, 3467, 2352, 547, 3039, 31683, 267, 610, 547, 581, 811, 2312, 267, 547, 31376, 3034, 26046, 540, 8693, 13138, 19781, 779, 1239, 676, 1875, 17416, 8693, 7027, 8947, 875, 5245, 3379, 547, 824, 6082, 269, 898, 1336, 5434, 3812, 693, 519, 8210, 2130, 1379, 6728, 538, 29517, 616, 3622, 3152, 982, 519, 5916, 5434, 540, 674, 25702, 267, 21125, 11866, 267, 6341, 10394, 267, 17340, 756, 10620, 267, 3943, 2717, 29498, 807, 267, 1715, 2836, 539, 8205, 543, 12130, 14772, 807, 563, 288, 20624, 2206, 1194, 856, 607, 2916, 1412, 331, 12000, 731, 7055, 20458, 7027, 1382, 8689, 1767, 519, 8693, 29895, 1907, 2982, 968, 6011, 1454, 540, 513, 8093, 4492, 9649, 5245, 2731, 568, 6100, 968, 11742, 543, 942, 1586, 267, 649, 2461, 7487, 1346, 602, 12520, 519, 2547, 2443, 899, 7414, 6532, 2477, 2443, 1373, 5734, 519, 23698, 676, 2916, 12469, 2223, 646, 1767, 563, 28317, 20624, 1590, 1489, 1346, 593, 519, 4395, 3515, 540, 519, 2916, 6433, 2223, 646, 4797, 269, 968, 1607, 814, 1044, 513, 2101, 6249, 540, 30505, 2767, 267, 543, 786, 3136, 547, 20441, 2518, 2916, 16395, 2394, 1483, 2530, 543, 3441, 19647, 616, 1500, 3034, 288, 20624, 7472, 3592, 5595, 519, 5434, 607, 5527, 454, 292, 5118, 814, 2673, 547, 2185, 2053, 519, 2551, 540, 5245, 454, 288, 20624, 32307, 3592, 7466, 519, 5434, 607, 782, 540, 22778, 807, 454, 288, 20624, 1793, 25428, 607, 2916, 1412, 331, 12000, 731, 262, 676, 5177, 1895, 454, 11900, 2074, 3177, 676, 519, 1907, 2097, 607, 5245, 8188, 1713, 2518, 2604, 547, 3479, 547, 513, 2916, 2508, 547, 948, 267, 3384, 6082, 4431, 547, 519, 1764, 540, 2916, 1689, 563, 1607, 3018, 267, 5177, 2916, 1689, 17404, 12539, 16684, 1336, 519, 2475, 568, 9991, 2110, 540, 922, 3486, 19647, 543, 1058, 581, 9878, 2475, 259, 2412, 5479, 18121, 2568, 269, 2537, 3915, 517, 264, 811, 12422, 538, 2916, 8804, 547, 3384, 2477, 563, 2005, 849, 2206, 1194, 856, 5245, 267, 4516, 267, 543, 519, 5177, 607, 968, 331, 12000, 1841, 6100, 634, 4681, 616, 538, 1899, 609, 513, 9963, 1500, 676, 7621, 325, 600, 2063, 3923, 602, 5245, 568, 968, 26211, 577, 4474, 4057, 6082, 9731, 288, 20624, 568, 5859, 532, 547, 3984, 519, 30505, 4029, 538, 476, 1708, 277, 563, 2710, 596, 723, 513, 1650, 9133, 286, 19478, 281, 4757, 11333, 2593, 269, 0, 3528, 3695, 513, 4625, 1007, 7792, 8790, 1468, 799, 1223, 17932, 10305, 540, 2634, 5160, 267, 3345, 13523, 2160, 3173, 616, 2965, 6251, 547, 3478, 513, 3760, 5827, 540, 5883, 891, 2152, 1818, 946, 540, 27532, 5061, 6993, 1883, 12146, 609, 519, 6602, 6157, 568, 519, 2702, 547, 2359, 519, 1582, 23829, 12273, 3157, 540, 6675, 538, 519, 1570, 267, 7175, 519, 3173, 547, 12189, 519, 2497, 543, 2934, 585, 519, 3457, 593, 519, 23282, 7051, 585, 519, 4336, 540, 18476, 5759, 269, 634, 8047, 540, 15656, 594, 269, 853, 6269, 11540, 513, 476, 1001, 279, 1957, 3330, 519, 4760, 3163, 799, 4951, 602, 6878, 949, 1360, 1134, 581, 2966, 609, 24215, 6422, 6675, 23553, 547, 22109, 936, 17890, 9883, 543, 1582, 268, 6716, 1125, 547, 2186, 3677, 267, 29770, 27273, 560, 19099, 2108, 15985, 956, 540, 6289, 1993, 756, 619, 563, 3086, 267, 513, 15388, 2319, 3366, 676, 853, 6269, 814, 3254, 602, 891, 22530, 23461, 666, 7494, 3986, 22813, 7269, 267, 606, 1898, 13844, 8808, 1957, 1603, 948, 602, 666, 723, 6286, 585, 1591, 24328, 12485, 585, 31895, 17654, 2175, 602, 1331, 19576, 779, 543, 12216, 779, 19210, 267, 607, 1134, 607, 11983, 5911, 2800, 31422, 1607, 6763, 856, 607, 519, 1360, 1101, 14745, 4010, 1141, 649, 723, 1044, 2111, 547, 2015, 519, 7613, 540, 7636, 18534, 4428, 1782, 649, 7074, 538, 476, 1001, 279, 543, 10244, 621, 585, 606, 3301, 538, 27532, 5061, 267, 2108, 6045, 853, 6269, 267, 519, 3391, 17082, 936, 519, 1353, 1927, 609, 519, 8689, 540, 3345, 13523, 779, 3244, 12121, 2372, 518, 9445, 4659, 269, 29770, 2171, 666, 1256, 946, 21437, 585, 519, 1007, 8790, 1468, 547, 4217, 1451, 11257, 543, 5431, 2619, 3098, 31422, 288, 22082, 540, 24101, 1090, 12817, 1582, 23829, 12273, 267, 853, 6269, 568, 849, 519, 8274, 540, 11565, 4315, 7905, 540, 15689, 3163, 543, 7177, 267, 11061, 267, 6925, 543, 4437, 32441, 7177, 543, 6585, 20499, 689, 519, 1284, 514, 6199, 5441, 610, 6280, 540, 8551, 543, 7070, 267, 519, 15966, 768, 1157, 2160, 540, 7177, 543, 4061, 519, 3171, 514, 6199, 20513, 540, 4915, 563, 763, 1007, 2326, 568, 9112, 676, 11544, 1079, 15559, 602, 3533, 1831, 14461, 607, 1373, 513, 1439, 1267, 540, 4205, 1634, 538, 7998, 607, 3984, 28621, 652, 23838, 602, 17932, 1883, 2000, 1442, 4205, 8015, 5946, 267, 607, 1134, 607, 607, 519, 1439, 1267, 540, 519, 1445, 540, 891, 4205, 538, 25050, 8397, 2127, 998, 513, 3573, 4336, 9194, 540, 29770, 19769, 532, 6675, 31422, 763, 26227, 6675, 1331, 513, 3845, 476, 1911, 271, 338, 540, 5712, 3677, 982, 873, 30441, 865, 607, 547, 6512, 609, 1142, 824, 883, 9645, 22530, 23461, 269, 2201, 519, 18784, 4336, 267, 713, 9194, 12153, 513, 23009, 2670, 538, 4070, 689, 1018, 5654, 899, 606, 4608, 10541, 32004, 540, 986, 5443, 30653, 883, 887, 335, 601, 833, 15985, 956, 31422, 23777, 673, 8790, 17467, 1031, 538, 4915, 899, 12249, 3289, 5766, 1564, 5225, 1810, 1406, 4865, 519, 5759, 547, 11863, 6675, 547, 1582, 23829, 14517, 543, 4483, 1472, 3330, 891, 32234, 267, 2108, 6045, 570, 2077, 534, 7581, 332, 976, 267, 513, 7634, 24988, 538, 519, 853, 6269, 15272, 960, 2978, 543, 1071, 23867, 17082, 10362, 547, 519, 1957, 609, 5981, 18588, 3798, 601, 321, 13702, 267, 513, 3105, 10927, 16159, 1247, 538, 519, 2319, 269, 29770, 1607, 7613, 568, 2189, 585, 519, 3292, 649, 723, 2813, 1934, 31422, 454, 13010, 267, 2016, 602, 519, 6422, 6675, 4483, 547, 4990, 22530, 23461, 267, 5458, 22405, 1930, 909, 602, 1577, 2281, 547, 23309, 543, 2170, 609, 6915, 5562, 6786, 602, 1223, 581, 7471, 538, 547, 519, 8790, 17467, 269, 19950, 5944, 267, 519, 7344, 4229, 540, 476, 274, 291, 8228, 7519, 519, 3984, 28621, 652, 4205, 689, 519, 22530, 23461, 543, 3142, 827, 519, 5958, 547, 3350, 267, 855, 621, 2731, 666, 24847, 4396, 1518, 883, 1022, 12550, 2675, 8084, 1106, 2094, 519, 4205, 616, 17468, 31380, 676, 1582, 23829, 12273, 269, 901, 849, 14998, 519, 476, 274, 291, 8940, 8542, 2720, 532, 17549, 2593, 270, 712, 1606, 26236, 14672, 2720, 532, 268, 22967, 2914, 3876, 28129, 270, 8228, 540, 5656, 609, 2189, 2157, 602, 22426, 1585, 5686, 540, 8849, 2281, 607, 513, 1259, 547, 1382, 741, 4205, 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 ]
[ 2073, 590, 737, 18016, 717, 269, 8058, 281, 634, 630, 13678, 6714, 748, 267, 703, 4920, 1438, 264, 2962, 540, 717, 593, 454, 1492, 5430, 1115, 540, 519, 590, 1775, 568, 21705, 952, 543, 1152, 952, 2340, 489, 480, 328, 4295, 294, 630, 306, 1775, 3738, 815, 2340, 509, 357, 272, 414, 509, 358, 563, 321, 264, 4635, 519, 18572, 538, 513, 1070, 2328, 513, 1982, 538, 717, 4338, 799, 11887, 585, 513, 1895, 717, 519, 454, 20791, 652, 4110, 540, 513, 21705, 32089, 6041, 269, 630, 2791, 949, 946, 717, 4338, 267, 538, 1880, 519, 1599, 1230, 24503, 2329, 12218, 525, 8138, 25364, 547, 3313, 519, 1016, 25364, 540, 717, 8094, 322, 264, 4635, 519, 5399, 540, 1507, 2516, 538, 717, 4338, 267, 1265, 606, 1383, 540, 513, 1895, 717, 543, 715, 2340, 488, 366, 717, 971, 602, 519, 454, 20791, 652, 4110, 540, 513, 21705, 32089, 6041, 540, 717, 568, 4130, 982, 602, 540, 717, 21610, 563, 7830, 264, 2913, 533, 581, 513, 6305, 269, 14674, 606, 5690, 1107, 1210, 519, 3069, 540, 3339, 3029, 1107, 547, 2328, 1524, 454, 320, 454, 10517, 6974, 2510, 540, 519, 17788, 2329, 5049, 540, 23834, 333, 630, 335, 1040, 1411, 949, 8263, 602, 630, 2421, 28809, 1535, 630, 335, 3738, 6567, 1535, 264, 596, 454, 17647, 513, 1505, 602, 666, 3132, 782, 9048, 3027, 1076, 21335, 540, 513, 2016, 4110, 936, 717, 293, 9638, 1916, 3499, 0, 258, 1548, 568, 519, 28206, 848, 538, 13379, 540, 513, 10610, 540, 7136, 476, 7785, 11899, 1879, 898, 568, 570, 2586, 538, 513, 17719, 540, 3493, 628, 476, 4335, 271, 332, 286, 910, 8212, 692, 301, 10179, 673, 692, 1432, 568, 519, 6175, 538, 2597, 540, 513, 1560, 540, 2527, 476, 7785, 11899, 950, 621, 568, 3144, 538, 513, 9553, 540, 3178, 476, 4335, 271, 332, 2496, 314, 7101, 3780, 540, 3618, 815, 476, 25953, 271, 14790, 267, 575, 815, 476, 280, 269, 279, 544, 4882, 273, 476, 6540, 2971, 8827, 692, 11693, 602, 544, 815, 476, 7785, 4846, 267, 546, 815, 476, 4335, 271, 544, 2676, 305, 815, 476, 25953, 271, 5998, 815, 476, 277, 269, 275, 1109, 9943, 476, 11793, 332, 454, 26574, 540, 519, 1560, 593, 519, 2627, 540, 519, 3047, 815, 476, 7785, 1109, 9943, 476, 280, 269, 279, 815, 476, 276, 6434, 271, 715, 454, 4263, 3178, 546, 267, 28040, 2787, 10231, 568, 692, 326, 5091, 284, 326, 314, 272, 1673, 24250, 6540, 11004, 1150, 326, 5091, 284, 326, 314, 272, 268, 276, 270, 25953, 271, 24557, 280, 269, 279, 1535, 476, 271, 269, 15886, 692, 11004, 1150, 575, 5091, 284, 280, 269, 278, 3445, 273, 332, 4882, 273, 692, 26574, 593, 2627, 815, 8406, 692, 284, 7785, 1535, 476, 280, 269, 279, 692, 30043, 26574, 593, 2627, 284, 476, 276, 6434, 271, 301, 692, 7076, 540, 519, 1560, 693, 3178, 284, 16936, 323, 692, 284, 7785, 1535, 476, 280, 269, 278, 3445, 273, 692, 284, 6812, 278, 275, 301, 692, 30043, 5719, 920, 848, 538, 2597, 815, 8406, 910, 16936, 323, 692, 284, 276, 6434, 271, 715, 910, 476, 6812, 278, 275, 715, 692, 30043, 5719, 920, 848, 538, 2597, 815, 476, 277, 301, 692, 3519, 1061, 281, 24665, 566, 9603, 547, 32322, 543, 4706, 7352, 566, 609, 16816, 3363, 543, 3493, 628, 454, 3674, 972, 606, 5470, 538, 713, 2243, 610, 3070, 286, 0, 258, 7177, 14301, 1107, 5463, 685, 1001, 271, 692, 12218, 4530, 476, 272, 454, 19894, 12443, 326, 976, 267, 2480, 2297, 267, 1230, 545, 590, 30708, 1299, 7981, 4354, 1407, 454, 12585, 7102, 8422, 2986, 634, 11374, 1384, 13729, 3143, 281, 476, 272, 692, 272, 269, 8571, 513, 31996, 1512, 4336, 540, 16674, 815, 272, 270, 276, 547, 1224, 1232, 12281, 267, 17744, 543, 28935, 267, 543, 547, 2268, 909, 547, 476, 277, 454, 20657, 12281, 269, 8058, 519, 13080, 540, 476, 276, 269, 10463, 546, 332, 267, 476, 273, 269, 4200, 546, 332, 543, 476, 271, 269, 5392, 546, 332, 593, 621, 269, 476, 273, 269, 476, 274, 269, 769, 513, 6906, 13235, 267, 9474, 267, 8028, 267, 543, 7460, 616, 476, 1911, 6515, 267, 476, 4649, 6515, 543, 476, 3583, 6515, 6606, 269, 8571, 606, 31753, 543, 602, 589, 543, 645, 616, 535, 1539, 267, 543, 595, 568, 513, 1448, 593, 519, 7455, 269, 4855, 1463, 3700, 543, 26137, 640, 540, 31753, 269, 589, 6149, 568, 16207, 689, 513, 476, 278, 544, 1164, 2679, 267, 543, 693, 922, 5207, 8184, 519, 6149, 1175, 22613, 513, 476, 1691, 544, 1164, 13869, 3529, 269, 29895, 519, 2619, 540, 519, 6149, 11489, 621, 18953, 519, 2666, 269, 634, 3845, 1063, 519, 2679, 543, 519, 13869, 3529, 568, 476, 275, 544, 269, 8571, 513, 31996, 1512, 4336, 540, 16674, 815, 476, 272, 270, 2190, 547, 1224, 18126, 267, 3952, 543, 6279, 267, 543, 547, 2268, 909, 547, 476, 275, 18126, 269, 8058, 593, 621, 13080, 8204, 630, 328, 264, 476, 273, 18126, 476, 273, 3952, 476, 1015, 6279, 630, 4512, 264, 476, 272, 3723, 476, 274, 6279, 269, 20472, 513, 2834, 20008, 6782, 540, 476, 1839, 6515, 2427, 267, 676, 1079, 1114, 2409, 780, 275, 780, 276, 780, 25811, 1359, 14301, 1107, 5463, 685, 1001, 271, 454, 12218, 4530, 476, 272, 454, 19894, 12443, 326, 976, 267, 2480, 2297, 267, 1230, 545, 590, 30708, 1299, 7981, 4354, 1407, 454, 12585, 7102, 8422, 2986, 634, 11374, 1384, 13729, 3143, 281, 476, 273, 692, 272, 269, 634, 4890, 3259, 540, 476, 4335, 544, 568, 6719, 676, 513, 1899, 540, 476, 1428, 4699, 593, 513, 5373, 269, 20472, 513, 31546, 1512, 4336, 547, 454, 1348, 15399, 334, 476, 7785, 544, 269, 4460, 593, 519, 4336, 513, 3259, 540, 476, 276, 5392, 332, 269, 476, 273, 269, 476, 274, 269, 634, 3845, 1063, 519, 1463, 3700, 543, 519, 1445, 540, 513, 29236, 568, 476, 2004, 6515, 269, 8571, 519, 7455, 269, 8571, 513, 17242, 543, 3339, 693, 513, 1448, 540, 519, 7455, 476, 1911, 6515, 689, 519, 1463, 3700, 269, 8571, 519, 2619, 14360, 856, 676, 513, 1448, 593, 519, 18592, 540, 513, 5858, 855, 6587, 547, 519, 3346, 1448, 269, 634, 5858, 20061, 1510, 1793, 6235, 19794, 1524, 2072, 585, 519, 3845, 3160, 547, 922, 15943, 269, 634, 8006, 540, 519, 5858, 568, 476, 2412, 6515, 269, 8745, 519, 7455, 269, 12433, 519, 16674, 540, 513, 4336, 799, 3800, 476, 273, 269, 276, 6279, 547, 513, 13304, 269, 8571, 513, 13354, 4336, 540, 12919, 547, 1224, 909, 547, 476, 1015, 5998, 269, 476, 272, 13304, 284, 272, 269, 8618, 5998, 269, 769, 18285, 513, 2834, 1261, 696, 6782, 538, 513, 5858, 540, 8006, 476, 2004, 7825, 780, 275, 269, 476, 276, 780, 25811, 1359, 14301, 1107, 5463, 685, 1001, 271, 454, 12218, 4530, 476, 272, 454, 19894, 12443, 326, 976, 267, 2480, 2297, 267, 1230, 545, 590, 30708, 1299, 7981, 4354, 1407, 454, 12585, 7102, 8422, 2986, 634, 11374, 1384, 13729, 3143, 281, 476, 274, 692, 272, 269, 476, 273, 780, 288, 4464, 2542, 31546, 1512, 4336, 3947, 519, 1739, 3877, 476, 272, 20444, 323, 815, 476, 2412, 4699, 269, 476, 272, 5288, 323, 284, 476, 1839, 4699, 16674, 815, 476, 272, 2433, 476, 1911, 269, 634, 4336, 568, 547, 581, 2111, 547, 1224, 15399, 334, 476, 1015, 15432, 269, 20472, 543, 1665, 593, 519, 4336, 513, 3845, 540, 476, 278, 269, 5952, 544, 543, 476, 279, 269, 1428, 544, 269, 589, 5858, 540, 476, 2004, 6515, 8006, 20061, 593, 513, 2786, 1899, 1510, 1793, 6235, 269, 769, 519, 3355, 2990, 267, 519, 8006, 9474, 540, 519, 5858, 568, 6252, 547, 519, 1899, 267, 593, 799, 621, 20061, 269, 8571, 519, 1327, 328, 540, 519, 2798, 589, 543, 645, 585, 835, 4838, 540, 519, 5858, 269, 634, 29297, 4925, 540, 513, 5409, 19096, 616, 1818, 476, 3583, 5232, 609, 1142, 824, 269, 589, 1448, 623, 593, 519, 7455, 568, 693, 513, 3845, 540, 476, 2412, 6515, 689, 519, 8880, 29297, 1774, 543, 476, 2004, 6515, 689, 519, 20916, 29297, 1774, 269, 18140, 519, 7455, 269, 8571, 513, 3339, 543, 513, 17242, 547, 519, 7455, 693, 1022, 1448, 269, 20472, 513, 31546, 1512, 4336, 547, 1224, 9883, 2953, 547, 513, 1232, 600, 2678, 593, 513, 4786, 538, 799, 519, 4890, 9883, 616, 4389, 538, 519, 5223, 540, 476, 272, 281, 6110, 876, 269, 634, 4336, 1058, 581, 1279, 2614, 547, 2268, 476, 277, 12919, 269, 4460, 593, 519, 4336, 519, 13080, 540, 476, 274, 269, 4097, 5998, 543, 476, 271, 269, 6872, 5998, 20472, 513, 2834, 20008, 6782, 267, 1261, 696, 6782, 609, 5871, 3490, 540, 476, 2412, 6515, 2427, 780, 274, 780, 275, 780, 276, 269, 0, 258, 20553, 4569, 6103, 476, 275, 21602, 476, 2641, 7689, 476, 275, 8382, 6206, 6657, 609, 24908, 21474, 692, 2171, 3769, 1109, 295, 300, 295, 20553, 4569, 6103, 476, 275, 8382, 6206, 7300, 21602, 476, 2641, 7689, 476, 275, 6657, 609, 24908, 21474, 547, 1118, 1053, 4966, 538, 1565, 13004, 780, 1012, 32518, 295, 20553, 4569, 6103, 476, 275, 21602, 476, 2641, 7689, 476, 275, 8382, 6206, 6657, 609, 24908, 21474, 692, 296, 2052, 946, 1250, 1620, 540, 519, 3448, 2450, 540, 6482, 4559, 543, 811, 982, 835, 5106, 547, 4194, 2042, 5473, 3259, 543, 942, 780, 3721, 898, 4934, 692, 9223, 476, 272, 563, 292, 12848, 2841, 525, 538, 513, 7823, 11332, 5198, 543, 26088, 476, 1321, 3764, 476, 5655, 7643, 1310, 700, 1014, 267, 945, 26088, 538, 476, 6812, 3764, 476, 6246, 7643, 269, 769, 14162, 26088, 476, 276, 3764, 476, 1428, 7643, 1310, 11875, 320, 269, 1215, 1279, 1281, 621, 1491, 769, 14162, 547, 9096, 519, 5198, 2496, 288, 269, 1733, 846, 18138, 942, 798, 596, 917, 286, 1548, 729, 741, 942, 888, 296, 917, 700, 1014, 18138, 942, 269, 700, 1014, 26088, 519, 7823, 11332, 5198, 538, 476, 6812, 3764, 476, 6246, 7643, 780, 289, 269, 1215, 666, 596, 946, 519, 1634, 942, 547, 1265, 11875, 320, 779, 18138, 942, 888, 292, 12848, 26088, 519, 7823, 11332, 5198, 538, 476, 1321, 3764, 476, 5655, 7643, 1310, 700, 1014, 563, 11754, 2016, 11875, 320, 779, 18138, 942, 609, 700, 1014, 18138, 942, 563, 1321, 3764, 476, 5655, 7643, 1341, 476, 6812, 3764, 476, 6246, 7643, 815, 476, 3583, 3764, 476, 5952, 7643, 454, 292, 12848, 779, 26088, 519, 7823, 11332, 5198, 538, 476, 3583, 3764, 476, 5952, 7643, 780, 290, 269, 1548, 568, 11875, 320, 779, 18138, 942, 286, 3204, 4981, 952, 2556, 269, 8058, 707, 960, 563, 292, 12848, 779, 18138, 942, 568, 476, 3583, 3764, 476, 5952, 7643, 563, 2080, 649, 723, 547, 1036, 4981, 7643, 607, 8792, 543, 3764, 607, 5662, 563, 272, 8792, 815, 476, 2568, 7643, 454, 272, 5662, 815, 476, 2568, 3764, 454, 292, 12848, 779, 18138, 942, 476, 3583, 3764, 476, 5952, 7643, 568, 1036, 4981, 539, 607, 476, 272, 5662, 476, 1556, 3764, 476, 1839, 7643, 780, 291, 269, 1215, 666, 596, 1265, 769, 14162, 779, 18138, 942, 888, 296, 928, 345, 26088, 519, 7823, 11332, 5198, 538, 476, 276, 3764, 476, 1428, 7643, 1310, 11875, 320, 563, 2414, 5173, 769, 14162, 779, 18138, 942, 649, 723, 547, 1039, 2016, 769, 14162, 779, 18138, 942, 609, 11875, 320, 779, 18138, 942, 780, 292, 269, 1548, 568, 769, 14162, 779, 942, 286, 8058, 707, 960, 563, 296, 928, 345, 26088, 476, 276, 3764, 476, 1428, 7643, 1310, 11875, 320, 563, 11754, 2016, 769, 14162, 779, 18138, 942, 609, 11875, 320, 18138, 942, 563, 276, 3764, 476, 1428, 7643, 1341, 476, 272, 5662, 476, 1556, 3764, 476, 1839, 7643, 815, 476, 272, 5662, 476, 1626, 3764, 476, 2412, 7643, 454, 296, 928, 345, 779, 26088, 519, 7823, 11332, 5198, 538, 476, 272, 5662, 476, 1626, 3764, 476, 2412, 7643, 780, 31282, 543, 13185, 1548, 2994, 666, 596, 946, 547, 2638, 707, 4267, 2496, 9223, 476, 273, 563, 2304, 21677, 1576, 2882, 1614, 6821, 543, 513, 18535, 2121, 269, 634, 1614, 6821, 616, 476, 4281, 17744, 267, 476, 4281, 17744, 267, 543, 476, 272, 11281, 7381, 269, 634, 4463, 540, 519, 18535, 2121, 568, 519, 2040, 540, 519, 15627, 540, 519, 1614, 6821, 269, 1215, 7381, 568, 519, 18535, 2121, 2496, 288, 269, 1548, 1344, 798, 596, 917, 888, 296, 917, 519, 15627, 540, 519, 1614, 3774, 269, 634, 1614, 6821, 4463, 616, 476, 4281, 17744, 267, 476, 4281, 17744, 267, 543, 476, 272, 11281, 7381, 780, 289, 269, 1548, 1344 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1869, 267, 5077, 707, 4387, 1354, 2921, 1022, 540, 621, 563, 2026, 728, 689, 519, 7150, 2175, 267, 1019, 675, 9455, 949, 849, 22009, 824, 2175, 899, 18492, 2042, 630, 1721, 2021, 1070, 18024, 543, 8459, 2042, 563, 11328, 13905, 609, 824, 6527, 454, 2691, 596, 2461, 5116, 593, 513, 1007, 6646, 267, 2327, 596, 1577, 707, 4387, 917, 827, 824, 6527, 267, 11922, 610, 9360, 596, 2461, 2921, 269, 23560, 865, 786, 948, 519, 4387, 2638, 585, 1022, 2009, 4205, 1063, 519, 1007, 6646, 543, 519, 835, 596, 2461, 2921, 2907, 269, 2368, 5061, 950, 15025, 609, 1019, 675, 9455, 1522, 10460, 1978, 1272, 18446, 2175, 269, 6201, 540, 891, 6527, 1331, 912, 268, 14640, 268, 1506, 13630, 2400, 8069, 454, 268, 18729, 20919, 454, 268, 17327, 4550, 26817, 12185, 8069, 454, 9213, 267, 2564, 4648, 1265, 1019, 675, 9455, 547, 581, 519, 3501, 6474, 585, 8156, 513, 2039, 540, 2175, 1519, 7249, 24304, 2295, 5821, 267, 30046, 543, 1164, 1973, 2604, 269, 1452, 6527, 666, 2333, 707, 1377, 540, 10729, 2504, 607, 789, 4043, 547, 5818, 519, 2557, 693, 799, 1216, 543, 6070, 616, 30461, 689, 519, 1560, 538, 519, 1106, 540, 10729, 269, 9282, 789, 949, 1413, 782, 25368, 267, 972, 849, 2097, 609, 930, 4220, 7923, 269, 1924, 267, 596, 1058, 2141, 5077, 707, 4387, 585, 513, 1732, 13310, 543, 3251, 2635, 2141, 256, 0, 4467, 6312, 756, 559, 1235, 3409, 602, 1863, 786, 568, 15095, 609, 15002, 1143, 267, 2094, 952, 15002, 1143, 1705, 711, 3180, 267, 789, 1589, 602, 741, 786, 1223, 711, 3313, 741, 3527, 563, 2467, 568, 2370, 13618, 3823, 10678, 4332, 1296, 269, 12472, 910, 8176, 16817, 1412, 338, 7778, 540, 6211, 4720, 538, 3340, 4960, 547, 1711, 8390, 538, 519, 5444, 7535, 269, 18421, 538, 519, 1570, 7122, 568, 1500, 540, 8444, 538, 13417, 31463, 762, 10419, 783, 5163, 269, 853, 18757, 16495, 1572, 585, 2367, 547, 5706, 13777, 850, 18653, 899, 10845, 543, 679, 11803, 563, 9515, 29739, 593, 2261, 11538, 1864, 267, 543, 9863, 513, 13991, 7385, 547, 7247, 646, 2968, 27145, 7923, 269, 1261, 11130, 602, 5481, 949, 3006, 581, 513, 834, 628, 805, 547, 6617, 257, 855, 693, 519, 1482, 942, 789, 2099, 834, 1492, 4316, 585, 1514, 7004, 8487, 27745, 649, 1413, 547, 10826, 3676, 269, 13162, 781, 729, 18367, 569, 1572, 834, 763, 20607, 720, 540, 519, 4024, 269, 1452, 10054, 267, 607, 1230, 523, 1696, 620, 7074, 267, 616, 15002, 1143, 267, 10686, 6291, 267, 16163, 574, 3415, 267, 543, 1252, 1275, 269, 1656, 1082, 11309, 12579, 16153, 741, 21379, 1952, 1465, 609, 4960, 607, 519, 2707, 540, 5191, 563, 3528, 713, 1505, 4992, 616, 9228, 676, 519, 25850, 799, 616, 11347, 540, 519, 3312, 3280, 4607, 676, 519, 28416, 563, 12901, 328, 1790, 21627, 13659, 568, 6825, 676, 1614, 3506, 540, 2219, 538, 519, 1514, 2257, 1382, 269, 12344, 524, 999, 585, 930, 5042, 4524, 610, 24040, 10108, 269, 1261, 7301, 569, 2404, 621, 609, 519, 4317, 16817, 626, 3206, 540, 1010, 942, 543, 1572, 621, 513, 834, 326, 7517, 6138, 563, 1103, 3162, 2455, 1901, 963, 4535, 1310, 519, 1101, 11180, 9550, 4371, 1310, 32044, 616, 1419, 5219, 547, 538, 2923, 607, 519, 834, 9799, 6954, 5108, 2668, 10318, 514, 2065, 10092, 616, 1152, 519, 2013, 585, 1360, 1804, 3615, 267, 1141, 519, 8579, 4031, 540, 10570, 6323, 3328, 547, 1831, 5176, 1978, 3846, 673, 4031, 585, 3915, 328, 731, 11084, 543, 10785, 563, 763, 5951, 845, 5161, 540, 4908, 1110, 4327, 28377, 269, 901, 9415, 519, 3830, 540, 6107, 609, 1514, 25430, 543, 1689, 269, 6270, 1949, 2705, 849, 723, 1978, 2115, 540, 741, 1378, 799, 723, 547, 581, 1558, 607, 2838, 1312, 676, 2078, 1063, 519, 1514, 1062, 543, 922, 1604, 543, 676, 519, 4835, 25029, 540, 519, 1062, 563, 763, 1523, 540, 513, 5108, 666, 849, 581, 1031, 547, 12398, 1880, 4332, 16649, 2176, 538, 1808, 3140, 543, 2686, 6381, 267, 971, 607, 519, 834, 17926, 1630, 12002, 834, 269, 24641, 519, 2250, 568, 796, 4219, 762, 267, 932, 24075, 2089, 639, 11130, 602, 930, 2104, 2621, 602, 616, 2009, 798, 711, 2049, 676, 13766, 689, 2250, 5007, 2188, 4805, 267, 855, 1522, 4096, 593, 721, 563, 288, 2077, 13444, 10353, 1010, 23139, 4960, 547, 13766, 281, 1261, 1572, 713, 861, 928, 577, 1143, 267, 513, 22579, 2165, 585, 15364, 267, 538, 2312, 4334, 547, 519, 4351, 2621, 540, 1010, 1119, 577, 1143, 563, 1607, 3069, 2968, 3833, 9565, 609, 519, 1857, 543, 12081, 1243, 606, 1719, 538, 519, 15257, 540, 5481, 269, 769, 2901, 2013, 7453, 15002, 1143, 5205, 676, 8471, 17217, 27291, 689, 606, 9631, 30876, 582, 550, 2696, 269, 1403, 4896, 814, 4555, 267, 6436, 528, 6405, 2963, 921, 848, 2022, 269, 1879, 596, 3717, 609, 2576, 3544, 540, 707, 1753, 543, 707, 1591, 6049, 568, 609, 596, 1118, 4063, 540, 519, 6643, 585, 519, 1985, 3108, 1510, 13288, 1394, 547, 621, 693, 20471, 563, 1607, 1153, 5059, 593, 519, 1367, 12007, 1995, 693, 519, 13258, 540, 1514, 2796, 269, 3502, 2386, 827, 519, 16079, 12068, 6085, 269, 634, 3044, 4661, 1996, 1863, 786, 568, 602, 621, 666, 711, 7654, 581, 11028, 4290, 539, 609, 2901, 4351, 1145, 610, 15002, 1143, 267, 543, 602, 891, 1079, 9688, 519, 9266, 7399, 563, 1103, 519, 1158, 540, 2470, 267, 2257, 1185, 16309, 538, 24482, 24931, 519, 7706, 540, 519, 15151, 1875, 10288, 267, 519, 6830, 3726, 748, 543, 519, 23139, 269, 2637, 2473, 619, 4810, 3127, 781, 2804, 10841, 754, 766, 543, 616, 811, 6899, 609, 3309, 5380, 269, 1290, 974, 5189, 519, 2262, 968, 306, 1539, 1108, 892, 538, 634, 2165, 968, 306, 1539, 1108, 892, 568, 6508, 689, 519, 5824, 2262, 5081, 639, 267, 2495, 13959, 610, 12314, 267, 543, 519, 5259, 2262, 27291, 267, 2495, 1353, 610, 2257, 563, 4467, 974, 779, 15257, 729, 22350, 23091, 609, 1010, 1378, 2093, 540, 519, 2953, 1135, 640, 269, 769, 1010, 2070, 267, 2486, 1185, 7745, 1524, 607, 513, 1267, 540, 519, 3943, 7169, 563, 763, 7169, 729, 513, 1434, 3364, 1107, 519, 7169, 1185, 849, 1044, 2556, 1317, 519, 563, 9359, 4974, 24205, 3184, 476, 272, 269, 6258, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 9612, 563, 9526, 338, 593, 519, 2093, 1305, 676, 4864, 1290, 974, 267, 29464, 1975, 27247, 543, 2506, 850, 20736, 330, 8583, 543, 6212, 593, 519, 12550, 3344, 540, 1514, 1272, 269, 1346, 3344, 540, 1514, 1272, 602, 4806, 12250, 1646, 543, 723, 547, 798, 609, 269, 5980, 281, 634, 17943, 3848, 476, 272, 269, 2353, 519, 6863, 585, 3184, 476, 272, 538, 519, 21777, 7160, 563, 4306, 11070, 312, 269, 623, 6369, 312, 269, 15257, 269, 519, 9836, 1353, 540, 1480, 2486, 269, 2165, 1101, 1031, 676, 4864, 1290, 974, 269, 25349, 5133, 269, 519, 2027, 1448, 540, 2070, 540, 2486, 602, 12034, 2489, 3270, 540, 2486, 538, 519, 2729, 540, 1880, 1004, 1022, 1514, 4806, 602, 563, 321, 5802, 518, 4806, 540, 12250, 2242, 2966, 547, 1683, 4853, 476, 275, 4864, 324, 1290, 974, 543, 519, 15215, 540, 5274, 640, 1362, 898, 1131, 849, 585, 613, 6402, 547, 2021, 267, 19509, 526, 532, 538, 3288, 3185, 1889, 513, 3532, 5837, 2358, 538, 23807, 480, 340, 775, 554, 2416, 1729, 598, 16667, 2740, 1369, 519, 22686, 7622, 267, 585, 799, 15474, 15215, 1131, 1683, 267, 693, 2063, 267, 1813, 1747, 563, 14240, 540, 23694, 25159, 267, 17502, 1470, 10374, 11872, 267, 4065, 1656, 4317, 7827, 267, 24205, 1306, 3163, 267, 4065, 1656, 4317, 7827, 267, 4317, 12700, 6993, 1872, 755, 635, 974, 4806, 4632, 0, 299, 6756, 14520, 590, 7950, 14117, 25028, 1107, 12729, 9046, 6061, 454, 289, 22877, 513, 9046, 24626, 2336, 9616, 281, 476, 271, 270, 276, 630, 271, 4967, 264, 476, 31275, 1053, 454, 9743, 1192, 528, 4433, 2567, 681, 807, 534, 5918, 1773, 334, 1195, 454, 8310, 9337, 281, 476, 1708, 273, 268, 6860, 268, 2641, 454, 1432, 596, 3580, 1451, 454, 268, 6258, 1018, 513, 14117, 25028, 779, 1909, 568, 538, 606, 3919, 454, 268, 28161, 513, 4487, 693, 1966, 6061, 547, 3597, 2014, 454, 268, 28161, 606, 4274, 693, 9001, 2596, 1966, 6061, 2409, 971, 607, 519, 12551, 14752, 12810, 543, 476, 276, 3963, 779, 454, 268, 476, 3199, 260, 540, 2042, 538, 1022, 1870, 666, 581, 1151, 539, 676, 14117, 5617, 1206, 267, 693, 519, 2707, 540, 519, 3390, 454, 268, 3143, 840, 3146, 638, 28987, 2838, 267, 1175, 513, 2318, 10182, 267, 543, 513, 19818, 585, 5355, 563, 268, 11109, 5293, 6519, 25028, 1131, 581, 6225, 267, 855, 711, 513, 10421, 454, 8702, 547, 2052, 985, 738, 2274, 534, 14520, 590, 7950, 14117, 25028, 9751, 1107, 519, 2034, 1377, 540, 13995, 602, 13976, 2390, 519, 2596, 2035, 540, 2274, 534, 543, 14520, 590, 7950, 269, 2991, 3811, 12032, 540, 713, 1576, 267, 596, 786, 723, 519, 1983, 547, 2697, 543, 4194, 2042, 693, 519, 2707, 269, 1306, 513, 14117, 25028, 267, 596, 786, 581, 519, 1101, 1899, 540, 8878, 585, 519, 3919, 543, 786, 723, 519, 1983, 547, 1174, 2152, 267, 2697, 519, 3597, 2014, 543, 2936, 3435, 602, 2087, 2164, 543, 1711, 513, 1732, 9036, 269, 769, 1840, 547, 12729, 9046, 4149, 6295, 267, 596, 786, 723, 513, 3152, 1620, 540, 519, 2497, 543, 19325, 540, 2274, 534, 14520, 590, 7950, 3785, 269, 1411, 786, 723, 3152, 5813, 883, 519, 960, 540, 519, 5682, 25028, 5741, 24285, 543, 786, 581, 9280, 547, 7119, 607, 513, 11327, 12243, 16588, 593, 811, 1950, 5682, 25028, 3785, 563, 763, 1909, 540, 782, 5171, 538, 2274, 534, 14520, 590, 7950, 3785, 568, 547, 2087, 606, 3919, 269, 14847, 550, 14117, 5617, 1206, 666, 22937, 3063, 8424, 540, 3946, 543, 4064, 547, 2445, 1239, 543, 2709, 21295, 5813, 883, 875, 3157, 616, 2324, 269, 634, 14117, 25028, 1377, 568, 1141, 782, 2104, 14520, 590, 7950, 5682, 5617, 1206, 1205, 741, 1376, 269, 14117, 25028, 5171, 945, 1397, 15131, 543, 519, 19038, 3363, 585, 2274, 534, 14520, 590, 7950, 666, 3136, 2866, 607, 5682, 5617, 1206, 543, 666, 1287, 12492, 1256, 2362, 12966, 31213, 543, 3152, 6791, 952, 789, 3442, 547, 798, 865, 563, 8005, 713, 1576, 568, 585, 454, 268, 25175, 602, 1131, 899, 547, 1451, 811, 827, 2596, 855, 2500, 1966, 6061, 543, 519, 2553, 1031, 547, 2844, 3597, 2014, 7145, 563, 268, 15783, 9946, 602, 1131, 899, 547, 13557, 909, 741, 16056, 779, 454, 268, 25175, 945, 1131, 899, 547, 1377, 909, 543, 1831, 513, 6205, 538, 513, 1870, 610, 1175, 2333, 741, 1702, 827, 17848, 20531, 5811, 454, 268, 8080, 547, 519, 2052, 985, 738, 2274, 534, 14520, 590, 7950, 14117, 25028, 13995, 454, 268, 1548, 568, 513, 14117, 25028, 267, 543, 1946, 798, 713, 13995, 888, 268, 1548, 568, 14117, 25028, 543, 875, 798, 594, 946, 621, 888, 268, 589, 3376, 7650, 540, 519, 1062, 454, 268, 8249, 2877, 585, 713, 1576, 454, 268, 476, 272, 269, 2274, 534, 14520, 590, 7950, 14117, 25028, 2271, 549, 454, 268, 476, 273, 269, 2274, 534, 14520, 590, 7950, 14117, 25028, 32018, 454, 268, 476, 274, 269, 2274, 534, 14520, 590, 7950, 14117, 25028, 1107, 12729, 9046, 6061, 454, 268, 476, 275, 269, 2274, 534, 14520, 590, 7950, 14117, 25028, 1107, 19737, 519, 5741, 5800, 12859, 454, 268, 476, 276, 269, 2274, 534, 14520, 590, 7950, 14117, 25028, 1107, 634, 19113, 7563, 26094, 18888, 454, 268, 476, 277, 18502, 269, 2274, 534, 14520, 590, 7950, 14117, 25028, 1107, 634, 1912, 1162, 540, 667, 7246, 2975, 454, 268, 476, 277, 12500, 269, 2274, 534, 14520, 590, 7950, 14117, 25028, 1107, 634, 1912, 1162, 540, 667, 7246, 2975, 630, 273, 994, 268, 476, 278, 269, 3213, 2286, 609, 2052, 985, 738, 454, 268, 15937, 981, 585, 14117, 25028, 27872, 454, 11742, 6967, 610, 476, 1015, 18934, 338, 2451, 454, 347, 10673, 1406, 4413, 1022, 19420, 976, 676, 11836, 938, 1855, 5586, 1090, 1895, 347, 0, 763, 23068, 13852, 779, 30115, 568, 689, 519, 6426, 630, 21914, 6276, 4528, 2567, 968, 3682, 8010, 23068, 10801, 2353, 519, 8092, 772, 660, 334, 2353, 519, 769, 4725, 527, 1218, 23476, 1848, 901, 14235, 4016, 547, 519, 968, 297, 889, 850, 324, 5608, 610, 519, 5528, 547, 519, 25232, 547, 2132, 3959, 543, 1863, 10437, 1169, 476, 2004, 1296, 563, 3963, 568, 972, 513, 6426, 14235, 593, 519, 23068, 13852 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2534, 267, 899, 22740, 1944, 519, 4887, 2281, 547, 7378, 563, 10303, 1863, 18119, 616, 865, 1455, 267, 513, 1268, 3340, 606, 6099, 3761, 540, 14434, 547, 6861, 873, 269, 3776, 1560, 781, 2281, 6923, 5352, 2178, 14434, 267, 899, 13672, 9067, 18757, 3679, 543, 22965, 987, 7748, 269, 1717, 267, 519, 3536, 649, 8532, 1683, 824, 14434, 267, 899, 8324, 595, 543, 661, 269, 12518, 616, 14095, 609, 7135, 1572, 20239, 12950, 338, 282, 1082, 849, 3100, 547, 4163, 15934, 4162, 269, 1280, 3236, 267, 1310, 6171, 595, 814, 26793, 513, 1863, 9097, 676, 23831, 9211, 547, 621, 267, 513, 20239, 12950, 1634, 607, 646, 4944, 699, 339, 514, 630, 30005, 538, 24453, 543, 824, 20521, 5613, 264, 1964, 2803, 6171, 595, 547, 922, 3742, 15934, 1106, 269, 769, 1840, 267, 25558, 523, 6950, 630, 3697, 11430, 19817, 2940, 538, 14274, 543, 561, 1393, 514, 538, 25989, 264, 543, 32064, 6950, 630, 3697, 7657, 534, 11169, 538, 23342, 267, 16320, 30662, 1231, 538, 30207, 267, 844, 2075, 564, 514, 538, 13212, 543, 19637, 267, 543, 524, 622, 577, 1231, 538, 3039, 7401, 264, 616, 849, 14434, 563, 24791, 595, 630, 2444, 12643, 545, 3679, 264, 568, 513, 8770, 938, 1560, 2115, 547, 1106, 1973, 8043, 267, 20162, 267, 4887, 267, 543, 20018, 538, 7633, 269, 12192, 595, 568, 849, 1898, 585, 938, 1560, 781, 7067, 1184, 269, 769, 1840, 267, 6171, 595, 568, 606, 15934, 602, 2337, 2149, 519, 2281, 540, 938, 1560, 1996, 519, 2360, 540, 1863, 18119, 269, 5131, 18119, 849, 1404, 513, 1909, 538, 2295, 2068, 267, 2860, 267, 543, 824, 3676, 563, 2026, 938, 1560, 1281, 711, 3132, 543, 4558, 6171, 595, 267, 649, 991, 547, 1205, 621, 689, 938, 2732, 5781, 269, 12192, 595, 568, 1459, 538, 20521, 5613, 267, 15708, 267, 12277, 267, 14274, 267, 18717, 267, 29761, 28667, 267, 22282, 267, 22648, 267, 543, 22156, 269, 12192, 595, 666, 849, 581, 3144, 607, 606, 5711, 7110, 267, 3335, 607, 29893, 543, 25261, 762, 14342, 269, 1717, 267, 1034, 1004, 1205, 6190, 6171, 595, 689, 513, 2635, 2732, 269, 12192, 595, 10638, 4386, 1034, 4122, 538, 519, 1739, 1004, 912, 17829, 945, 8673, 610, 616, 6534, 547, 2034, 8518, 8673, 563, 17829, 945, 723, 930, 16063, 2175, 610, 930, 2010, 540, 2860, 563, 17829, 945, 1246, 513, 11658, 2732, 602, 1281, 711, 5781, 2270, 5613, 543, 5388, 563, 5353, 3164, 6171, 595, 10638, 666, 2014, 1085, 584, 11803, 267, 3056, 547, 17350, 267, 11702, 14779, 267, 20015, 2358, 543, 4057, 10138, 7067, 563, 2252, 513, 1268, 5673, 593, 6171, 595, 9360, 585, 741, 2640, 267, 3226, 519, 15934, 3959, 267, 4063, 602, 519, 7110, 1522, 711, 11904, 519, 3169, 12434, 607, 6923, 1459, 14434, 538, 1426, 269, 634, 5227, 8192, 27108, 630, 305, 6395, 264, 540, 6171, 595, 568, 476, 3445, 8406, 585, 2937, 2367, 543, 476, 4037, 8406, 585, 2937, 2021, 563, 28074, 1382, 814, 1044, 2944, 593, 6171, 595, 585, 1978, 3676, 610, 2175, 269, 634, 1344, 568, 607, 5205, 912, 272, 269, 9435, 281, 3117, 11167, 513, 2732, 14095, 609, 5613, 543, 5388, 1522, 6175, 519, 1981, 540, 1896, 2010, 540, 2860, 267, 899, 6089, 267, 3935, 267, 543, 5761, 11871, 269, 1717, 267, 2436, 713, 8825, 1198, 568, 5532, 547, 6171, 595, 538, 519, 1426, 568, 711, 3982, 267, 607, 5711, 6171, 595, 9360, 798, 711, 2408, 547, 1683, 2147, 7443, 563, 273, 269, 5871, 12019, 281, 3117, 11167, 5711, 6171, 595, 9360, 1281, 711, 2061, 519, 1455, 4411, 269, 634, 2164, 540, 519, 2090, 849, 1397, 602, 519, 2640, 540, 5781, 2348, 6171, 595, 9360, 547, 6175, 519, 8653, 610, 10335, 540, 513, 4411, 616, 519, 2547, 563, 274, 269, 16685, 15302, 281, 17327, 6171, 595, 9360, 543, 824, 8324, 543, 6886, 2061, 2085, 5829, 31004, 23979, 630, 4456, 291, 264, 689, 29083, 269, 15742, 2090, 849, 2303, 602, 1004, 609, 2799, 2157, 540, 6171, 595, 538, 741, 11326, 723, 513, 8519, 4960, 540, 3384, 25942, 9711, 563, 24791, 595, 6411, 607, 513, 3532, 15934, 543, 2337, 538, 8165, 1996, 1863, 18119, 267, 799, 6382, 1291, 547, 1082, 5312, 543, 1272, 18446, 3676, 543, 2175, 269, 1717, 267, 621, 568, 811, 1271, 547, 11886, 922, 10421, 998, 519, 3232, 2732, 3079, 540, 4470, 593, 9360, 563, 8310, 12649, 693, 912, 4905, 4924, 476, 1708, 274, 910, 476, 275, 1295, 1224, 454, 4692, 6171, 595, 543, 13101, 2157, 581, 17468, 1510, 16069, 11581, 14011, 888, 5226, 2044, 281, 28982, 4387, 267, 3733, 7513, 6060, 568, 476, 1220, 271, 269, 1677, 2539, 621, 267, 594, 993, 2921, 9067, 23865, 11581, 14011, 543, 513, 1750, 331, 908, 8665, 547, 2569, 7513, 12074, 538, 16209, 269, 1809, 1250, 6171, 595, 543, 13101, 2157, 616, 25921, 4389, 269, 1215, 666, 594, 11177, 6171, 595, 543, 13101, 2157, 1510, 16069, 9067, 23865, 11581, 14011, 286, 3367, 9509, 19314, 24791, 595, 610, 1306, 322, 12643, 545, 18729, 4347, 11351, 454, 20684, 11137, 281, 12192, 595, 10638, 568, 606, 4761, 1062, 27780, 716, 532, 2783, 269, 7490, 1224, 519, 2376, 547, 917, 519, 2956, 540, 6171, 595, 267, 519, 31630, 540, 519, 10638, 267, 4791, 2934, 267, 543, 2359, 269, 3367, 9137, 454, 1432, 1772, 12192, 595, 286, 12192, 595, 630, 2444, 12643, 545, 3679, 264, 568, 513, 1216, 30320, 6171, 267, 513, 14984, 4227, 543, 15934, 8665, 602, 530, 1841, 1055, 543, 14014, 519, 1560, 689, 9190, 5563, 543, 6757, 1218, 269, 898, 568, 849, 1634, 607, 10841, 12643, 545, 3679, 543, 568, 513, 14984, 28166, 540, 681, 5308, 630, 516, 5562, 5135, 2249, 1040, 18766, 689, 1033, 334, 1862, 3367, 9137, 454, 19522, 547, 16473, 543, 6164, 4790, 11692, 454, 20684, 11137, 281, 4790, 11692, 568, 950, 22454, 568, 2182, 543, 2352, 547, 1780, 269, 3776, 2732, 543, 6197, 616, 5631, 547, 16620, 585, 19228, 269, 3367, 519, 2376, 547, 917, 827, 2081, 547, 1521, 543, 2061, 713, 2783, 269, 3367, 9137, 454, 302, 9405, 547, 938, 646, 8157, 8430, 543, 4657, 6197, 267, 519, 2732, 540, 519, 2413, 5108, 814, 4957, 513, 2603, 689, 2757, 1753, 2275, 10541, 1426, 547, 3728, 543, 10375, 3536, 269, 19759, 569, 267, 891, 13418, 543, 4712, 3562, 3887, 520, 3536, 616, 28119, 538, 6775, 1317, 540, 799, 1082, 2043, 19951, 616, 7092, 8389, 1862, 3367, 9137, 454, 7197, 15019, 15080, 454, 2710, 596, 723, 513, 2243, 593, 12192, 595, 610, 5131, 7101, 673, 661, 2784, 1709, 286, 16485, 606, 4274, 6732, 0, 291, 18510, 9590, 281, 2622, 1401, 1842, 723, 513, 1279, 543, 3879, 686, 748, 2250, 267, 711, 2547, 585, 741, 9434, 7418, 547, 4683, 1236, 2643, 1149, 543, 11265, 1158, 23867, 338, 269, 634, 661, 858, 601, 18975, 543, 9628, 779, 12113, 5142, 24747, 616, 1079, 540, 519, 1034, 25992, 1806, 563, 8601, 971, 8628, 7418, 267, 1163, 657, 723, 6140, 1044, 10151, 2621, 267, 609, 14969, 533, 822, 559, 687, 8204, 2477, 689, 1169, 7944, 540, 519, 1158, 585, 513, 3908, 942, 267, 1152, 547, 581, 796, 576, 516, 3000, 13124, 6569, 693, 519, 1439, 540, 519, 8653, 563, 2419, 8522, 3710, 606, 3003, 10151, 2749, 538, 6264, 29724, 11665, 673, 2511, 585, 922, 1163, 334, 538, 476, 6245, 274, 269, 634, 4583, 6519, 4975, 6038, 3177, 24990, 609, 513, 29685, 585, 2104, 2208, 2443, 2705, 267, 519, 5656, 2933, 941, 711, 17477, 563, 1607, 814, 1044, 513, 1455, 2239, 540, 2622, 1401, 1842, 267, 609, 533, 822, 559, 542, 3889, 2901, 30694, 610, 10032, 26063, 563, 8253, 865, 538, 29903, 269, 634, 5890, 334, 476, 1708, 271, 12180, 12233, 814, 2966, 519, 3135, 547, 1331, 513, 6131, 533, 822, 559, 542, 585, 1142, 4182, 267, 538, 1840, 547, 824, 10283, 3906, 267, 799, 616, 5497, 547, 2611, 1279, 1310, 519, 2680, 14405, 547, 513, 2673, 563, 21132, 3209, 1523, 814, 8507, 538, 811, 982, 476, 1220, 533, 822, 559, 687, 2066, 513, 3135, 7466, 519, 2450, 540, 3933, 23147, 267, 519, 19988, 2749, 1533, 593, 519, 3943, 681, 643, 1512, 320, 563, 763, 3135, 568, 5258, 883, 1614, 968, 339, 11490, 13102, 892, 602, 11604, 519, 1016, 2389, 1335, 525, 540, 519, 2680, 281, 20885, 267, 10688, 543, 4316, 563, 5278, 540, 519, 533, 822, 559, 687, 723, 1044, 2966, 543, 3710, 676, 10283, 2477, 267, 15386, 741, 1378, 3084, 6189, 543, 6272, 267, 1247, 1866, 19582, 13387, 5656, 19632, 676, 519, 3984, 563, 6624, 6259, 2477, 723, 3710, 741, 1378, 533, 822, 559, 687, 543, 2322, 8101, 2200, 543, 4674, 883, 741, 1646, 630, 5976, 6351, 689, 519, 32329, 267, 538, 1978, 2665, 1916, 5472, 13323, 29046, 7027, 4759, 2477, 2443, 607, 1134, 607, 25448, 267, 27988, 807, 267, 26288, 267, 21157, 543, 5527, 267, 1851, 1866, 2443, 723, 1582, 32472, 533, 822, 559, 687, 563, 6624, 540, 891, 616, 538, 519, 31621, 10588, 267, 609, 6305, 6753, 2673, 547, 519, 32329, 543, 18142, 533, 822, 559, 687, 563, 7712, 713, 568, 519, 1101, 1163, 334, 547, 581, 18799, 676, 513, 5664, 8109, 2197, 267, 6259, 2829, 723, 15504, 856, 782, 519, 13515, 547, 1118, 741, 1665, 593, 519, 2680, 563, 19425, 3538, 675, 2066, 519, 3135, 16621, 1082, 2609, 540, 2757, 12428, 1374, 267, 855, 519, 2949, 12705, 568, 5310, 711, 607, 11617, 23887, 607, 9628, 779, 6519, 4975, 1131, 723, 1044, 563, 10376, 2197, 10283, 538, 5890, 334, 476, 1708, 271, 29903, 814, 1044, 2016, 519, 5191, 547, 3142, 538, 922, 1378, 2189, 1374, 267, 609, 6237, 18953, 971, 607, 24775, 1740, 267, 1330, 1399, 1841, 543, 12094, 3889, 4294, 2429, 563, 763, 1267, 568, 513, 5542, 540, 1379, 2685, 1367, 533, 822, 559, 687, 2966, 547, 7001, 8436, 685, 1719, 563, 288, 4599, 533, 822, 559, 542, 6272, 543, 741, 2404, 6189, 666, 581, 17618, 3989, 607, 9991, 883, 1079, 13122, 281, 12465, 2943, 5499, 267, 609, 606, 8561, 593, 1686, 543, 2528, 282, 543, 519, 22192, 543, 6427, 633, 267, 609, 606, 8561, 593, 519, 7493, 543, 8097, 563, 293, 16226, 883, 519, 5449, 7121, 568, 27988, 807, 779, 533, 822, 559, 542, 267, 1110, 8215, 593, 519, 16629, 321, 1695, 630, 31842, 12818, 264, 540, 922, 3854, 13641, 4536, 563, 1103, 513, 12162, 547, 519, 3984, 2749, 267, 519, 11599, 4544, 543, 3043, 29984, 540, 13641, 4536, 814, 1044, 21775, 585, 9390, 18707, 563, 763, 1374, 540, 519, 533, 822, 559, 542, 8100, 2757, 27988, 1014, 2511, 267, 609, 606, 9703, 1330, 1399, 731, 543, 1374, 2609, 547, 11694, 2011, 2095, 563, 4407, 519, 533, 822, 559, 542, 779, 9703, 1330, 1399, 731, 2488, 513, 9602, 6870, 2230, 267, 519, 1795, 1228, 568, 13497, 18935, 1242, 609, 6272, 23401, 2757, 7137, 828, 21003, 657, 563, 9827, 30939, 519, 2757, 3917, 564, 2987, 2617, 894, 3786, 568, 918, 17703, 7159, 779, 533, 822, 559, 542, 267, 606, 3750, 2275, 10248, 4154, 2497, 538, 519, 20885, 10588, 267, 7587, 5024, 519, 13323, 10806, 779, 1034, 16529, 1163, 334, 9295, 547, 4266, 563, 763, 1374, 859, 10280, 519, 14498, 540, 519, 9390, 267, 609, 3381, 540, 4342, 1564, 543, 12902, 5070, 546, 17480, 10268, 593, 1804, 5007, 13819, 563, 17806, 3293, 4154, 16538, 8440, 1106, 513, 2413, 1491, 593, 922, 9390, 14099, 269, 769, 519, 4099, 540, 519, 533, 822, 559, 542, 568, 513, 12093, 540, 513, 2199, 1216, 13486, 267, 1031, 585, 519, 5726, 540, 2067, 2200, 563, 5194, 540, 519, 2757, 1235, 568, 25448, 267, 799, 16668, 6667, 585, 922, 533, 822, 559, 542, 689, 922, 29271, 552, 691, 1156, 14252, 563, 4263, 476, 4097, 7397, 538, 4463, 267, 3262, 2066, 5722, 19683, 267, 621, 568, 1851, 519, 32399, 5656, 693, 519, 1163, 334, 563, 763, 1795, 1228, 729, 3710, 1210, 15155, 4364, 268, 24160, 4070, 2409, 267, 1455, 547, 25448, 543, 20244, 4264, 607, 519, 5394, 552, 691, 1156, 6821, 1832, 519, 2011, 3330, 3579, 563, 763, 11623, 616, 11231, 1472, 513, 3844, 1330, 1399, 731, 267, 2347, 609, 16304, 10651, 543, 824, 5513, 2373, 547, 21185, 4754, 4525, 543, 8134, 563, 302, 2006, 267, 1932, 267, 17188, 4630, 720, 547, 922, 2757, 5072, 609, 513, 1445, 593, 519, 3504, 18367, 4532, 1619, 3529, 267, 5065, 547, 20144, 1993, 541, 17294, 622, 563, 763, 16538, 20998, 519, 3529, 267, 609, 3638, 17208, 18367, 4532, 1619, 20832, 602, 2838, 1079, 547, 1614, 1296, 547, 1711, 2523, 585, 519, 1163, 334, 563, 302, 2006, 849, 814, 1851, 519, 1034, 3860, 21233, 2833, 267, 609, 18367, 4532, 1619 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 5149, 476, 277, 281, 16334, 262, 600, 531, 520, 538, 9099, 4521, 692, 7072, 692, 300, 340, 262, 600, 531, 520, 267, 1419, 12261, 607, 1412, 10520, 13905, 10086, 4016, 547, 513, 3376, 7121, 540, 1480, 4205, 18170, 676, 9099, 10883, 1440, 28619, 630, 25206, 336, 327, 1040, 1452, 8852, 7854, 1585, 3344, 540, 3232, 1272, 267, 1519, 1870, 4308, 902, 267, 3959, 9562, 267, 7365, 267, 18472, 267, 543, 824, 14375, 3347, 269, 901, 1770, 786, 5490, 883, 519, 3741, 5817, 18665, 262, 600, 531, 520, 267, 6313, 922, 2959, 267, 1883, 2035, 267, 4720, 267, 543, 4207, 6286, 1369, 9099, 1876, 269, 1635, 3695, 891, 3584, 998, 513, 13857, 7828, 267, 649, 2832, 547, 6536, 513, 4514, 7071, 585, 519, 6988, 543, 4763, 7915, 538, 9099, 3656, 5389, 780, 306, 1545, 540, 16334, 262, 600, 531, 520, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1739, 568, 513, 16823, 2022, 676, 1230, 22448, 9652, 267, 513, 9972, 3656, 1382, 25566, 693, 519, 4521, 7732, 540, 6837, 269, 1230, 22448, 814, 5892, 2854, 9708, 593, 606, 2680, 543, 2404, 1382, 3391, 1644, 547, 16627, 540, 4914, 1876, 267, 835, 540, 938, 5274, 7126, 4303, 2621, 267, 543, 1216, 2924, 693, 10060, 6816, 269, 2701, 849, 24973, 5206, 513, 2022, 827, 513, 4521, 7732, 1867, 593, 32270, 4031, 538, 3979, 2477, 563, 26576, 545, 1876, 607, 513, 1641, 568, 1134, 2275, 2642, 538, 519, 10070, 540, 519, 7732, 540, 6837, 267, 609, 936, 476, 1015, 267, 1822, 10643, 538, 513, 3099, 540, 4654, 269, 769, 2296, 4805, 267, 972, 616, 936, 476, 272, 267, 12010, 1568, 602, 616, 28025, 610, 14356, 13991, 547, 4901, 540, 9099, 1876, 267, 609, 1007, 23937, 547, 519, 4015, 7683, 21945, 269, 769, 1840, 267, 2638, 856, 513, 3105, 2022, 547, 713, 5816, 676, 570, 926, 336, 13259, 24703, 267, 9099, 4521, 538, 9031, 1107, 6820, 13751, 14635, 4400, 7547, 630, 13356, 269, 476, 2190, 267, 476, 1001, 274, 1070, 585, 1344, 593, 519, 7732, 779, 2835, 593, 713, 2460, 540, 9031, 328, 1876, 563, 2690, 513, 2487, 15853, 1788, 267, 594, 16432, 513, 1592, 540, 1568, 538, 2296, 267, 533, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 340, 262, 600, 531, 520, 257, 607, 851, 540, 834, 30311, 1315, 9099, 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, 6637, 476, 277, 281, 634, 5295, 540, 14313, 910, 4197, 2983, 641, 29176, 998, 674, 12302, 27884, 692, 5331, 596, 616, 513, 3532, 8098, 12637, 538, 5279, 540, 7863, 707, 2197, 781, 23795, 543, 7297, 269, 1411, 3494, 602, 707, 4182, 19262, 811, 2463, 543, 3310, 936, 922, 4478, 15798, 269, 901, 3661, 5012, 596, 547, 1020, 513, 1007, 1259, 540, 3206, 827, 875, 707, 2197, 13333, 1369, 1346, 10665, 269, 3767, 4952, 952, 707, 2856, 2968, 513, 4641, 256, 901, 3184, 786, 2263, 875, 513, 1483, 3734, 17189, 11464, 781, 14985, 6273, 721, 547, 1711, 513, 14070, 1650, 1305, 538, 6239, 5607, 269, 1284, 786, 849, 1451, 827, 2413, 1143, 538, 29069, 1731, 3332, 543, 4983, 1946, 1620, 891, 2035, 6927, 547, 782, 540, 721, 780, 4131, 781, 1376, 676, 1565, 1018, 513, 1412, 4777, 551, 9068, 262, 1797, 269, 589, 14985, 666, 3274, 581, 2219, 540, 607, 513, 13057, 6240, 610, 6138, 602, 2337, 1004, 1174, 741, 3853, 543, 3527, 1732, 269, 1280, 1383, 267, 595, 655, 717, 6686, 6113, 523, 714, 267, 5189, 11894, 781, 834, 23325, 13067, 14657, 257, 14985, 1107, 799, 11363, 11894, 781, 1379, 543, 4527, 538, 519, 11335, 7256, 269, 3571, 2093, 3366, 1864, 547, 1831, 513, 7986, 4137, 538, 3486, 1894, 780, 3086, 1577, 781, 1589, 827, 875, 649, 1223, 4019, 971, 513, 1523, 547, 1776, 851, 540, 519, 1158, 269, 14597, 649, 1445, 593, 6239, 7489, 2477, 899, 29069, 1731, 6017, 267, 918, 10455, 4445, 345, 16330, 267, 27782, 16330, 267, 772, 345, 31990, 6017, 267, 543, 12395, 5443, 6017, 269, 1452, 6082, 2671, 1082, 3140, 4296, 855, 2611, 2189, 538, 1893, 267, 5389, 267, 543, 2797, 1949, 269, 16393, 789, 1932, 4324, 689, 2348, 513, 3838, 5075, 286, 1548, 1522, 602, 1413, 899, 2496, 2414, 2626, 891, 2055, 267, 1577, 781, 2490, 547, 5708, 256, 5994, 1079, 15231, 2477, 1572, 570, 3120, 330, 807, 543, 10609, 1794, 574, 269, 1358, 1419, 8044, 936, 1216, 2959, 1317, 1312, 7048, 8185, 593, 12555, 585, 6683, 269, 1677, 8207, 741, 7526, 25678, 267, 649, 6338, 513, 8797, 6205, 3957, 5689, 11986, 945, 2501, 909, 609, 513, 13085, 1544, 269, 2701, 23083, 2870, 513, 4745, 14643, 3743, 585, 5883, 543, 4687, 2200, 1063, 570, 3120, 330, 807, 543, 10609, 1794, 574, 269, 1635, 2324, 1927, 267, 1352, 11099, 602, 1312, 2477, 666, 8853, 17215, 1247, 8497, 741, 1604, 780, 1607, 3070, 14405, 6667, 689, 519, 3864, 5742, 781, 2359, 540, 1098, 20129, 776, 8933, 899, 519, 8355, 4209, 269, 1717, 267, 3079, 540, 1804, 29904, 20874, 267, 5689, 11986, 6212, 593, 29065, 5698, 1851, 2950, 2713, 2059, 519, 5757, 3316, 802, 269, 4173, 5499, 1505, 2982, 875, 1256, 1507, 2242, 666, 1291, 547, 1713, 9283, 950, 11461, 676, 3860, 3206, 780, 3719, 1141, 1281, 2413, 1143, 3514, 883, 782, 713, 286, 4270, 267, 2413, 1143, 4016, 547, 513, 2686, 3350, 602, 3459, 1472, 519, 3735, 476, 866, 628, 2540, 269, 4706, 1292, 3804, 729, 547, 2736, 2476, 689, 2757, 2418, 543, 4978, 547, 9784, 1007, 2081, 540, 11589, 13951, 7376, 1227, 267, 6457, 1302, 267, 543, 13998, 269, 1879, 4294, 547, 3332, 267, 2413, 1143, 7512, 17634, 609, 1106, 267, 2511, 267, 543, 4798, 780, 1103, 938, 2013, 267, 29069, 1731, 5830, 1282, 8168, 2053, 941, 27209, 689, 7234, 6214, 16175, 1813, 547, 24890, 4031, 269, 1306, 513, 1267, 267, 789, 1031, 14336, 5566, 2984, 543, 23199, 547, 10404, 1125, 1514, 2152, 5705, 569, 269, 3776, 9661, 540, 570, 3120, 330, 807, 543, 10609, 1794, 574, 13976, 2390, 713, 2245, 676, 1210, 2609, 540, 9589, 17779, 12544, 5339, 9135, 9256, 10853, 5468, 609, 30642, 610, 28531, 2609, 269, 3414, 713, 4480, 267, 649, 4126, 547, 8141, 7279, 1851, 3988, 827, 1950, 3584, 899, 2520, 641, 29176, 543, 4199, 2359, 780, 3383, 1946, 1058, 1647, 30595, 1416, 827, 1022, 540, 713, 286, 5221, 1620, 1114, 5380, 543, 2994, 2636, 873, 547, 4497, 9691, 609, 519, 1158, 1472, 873, 269, 1635, 3695, 1483, 8996, 7653, 998, 2502, 6386, 267, 649, 5000, 5876, 267, 6568, 267, 543, 1966, 9010, 1983, 1898, 585, 10188, 1272, 781, 2591, 269, 9578, 267, 18167, 883, 1585, 4529, 543, 12583, 3376, 839, 20030, 543, 11942, 7071, 585, 3309, 10080, 543, 2833, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 290, 655, 717, 6686, 6113, 523, 714, 568, 519, 2247, 3297, 835, 540, 519, 1034, 1104, 534, 23786, 29625, 1373, 513, 680, 1221, 693, 519, 4090, 282, 11894, 21485, 338, 9791, 13067, 14657, 1684, 551, 9068, 269, 717, 6686, 6113, 523, 714, 814, 1044, 15469, 547, 519, 7584, 540, 681, 792, 31288, 630, 12294, 28451, 264, 538, 476, 1220, 275, 543, 5580, 28451, 538, 476, 1220, 279, 269, 1261, 6039, 607, 12751, 540, 519, 15613, 4972, 543, 1287, 607, 12751, 540, 519, 12697, 543, 24727, 10406, 693, 519, 15349, 25220, 17086, 10361, 18392, 269, 1261, 814, 6039, 607, 2155, 6387, 540, 519, 2549, 874, 756, 1190, 590, 4721, 543, 14086, 18307, 564, 6828, 689, 476, 1220, 278, 547, 476, 1220, 280, 269, 1261, 19622, 538, 476, 1001, 273, 269, 1261, 8547, 519, 594, 30955, 25391, 9809, 2160, 31845, 17072, 538, 476, 1001, 276, 269, 1261, 1869, 5713, 607, 10615, 540, 519, 31845, 17072, 269, 1261, 568, 513, 6241, 626, 540, 513, 11356, 593, 17535, 2152, 543, 2278, 540, 5216, 2835, 1644, 547, 17535, 4640, 267, 17535, 1686, 543, 2528, 269, 2372, 1460, 1774, 31248, 723, 1185, 519, 4378, 719, 547, 723, 513, 3178, 6643, 609, 835, 540, 519, 1034, 1271, 2054, 1235, 538, 519, 2518, 26750, 563, 32091, 595, 655, 267, 9684, 596, 1360, 1454, 585, 11504, 938, 7662, 267, 621, 568, 606, 22632, 547, 723, 713, 6643, 609, 596, 563, 1692, 1131, 596, 1163, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 2622, 9085, 1315, 6239, 5607, 1315, 29069, 1731, 7073, 626, 11470, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1820, 3488, 29848, 265, 8660, 277, 815, 476, 28091, 275, 2190, 5073, 825, 952, 1003, 272, 2652, 476, 29848, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 278, 912, 1038, 1820, 3488, 29848, 265, 8660, 278, 815, 476, 28091, 278, 1240, 5073, 825, 952, 1003, 272, 2652, 476, 29848, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7176, 912, 1038, 1820, 3488, 29848, 265, 279, 7176, 815, 476, 25784, 23713, 5073, 825, 952, 1003, 272, 2652, 476, 29848, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4200, 912, 1038, 1820, 3488, 29848, 265, 279, 4200, 815, 476, 25784, 27420, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 25616, 912, 1038, 1820, 3488, 27768, 265, 25616, 815, 476, 7742, 16020, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 272, 912, 1038, 1820, 3488, 27768, 265, 5952, 272, 815, 476, 25172, 271, 3393, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 273, 912, 1038, 1820, 3488, 27768, 265, 5952, 273, 815, 476, 25172, 22430, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 274, 912, 1038, 1820, 3488, 27768, 265, 5952, 274, 815, 476, 25172, 277, 3374, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 275, 912, 1038, 1820, 3488, 27768, 265, 5952, 275, 815, 476, 25172, 280, 1789, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4649, 912, 1038, 1820, 3488, 27768, 265, 279, 4649, 815, 476, 21857, 18597, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 277, 912, 1038, 1820, 3488, 27768, 265, 5952, 277, 815, 476, 21857, 26392, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 278, 912, 1038, 1820, 3488, 27768, 265, 5952, 278, 815, 476, 21857, 279, 1428, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 279, 912, 1038, 1820, 3488, 27768, 265, 5952, 279, 815, 476, 26562, 8099, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 280, 912, 1038, 1820, 3488, 27768, 265, 5952, 280, 815, 476, 26562, 28147, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 2568, 912, 1038, 1820, 3488, 27768, 265, 279, 2568, 815, 476, 26562, 10384, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 8618, 912, 1038, 1820, 3488, 27768, 265, 279, 8618, 815, 476, 26562, 4200, 276, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7830, 912, 1038, 1820, 3488, 27768, 265, 279, 7830, 815, 476, 22724, 23310, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 8287, 912, 1038, 1820, 3488, 27768, 265, 279, 8287, 815, 476, 22724, 276, 5952, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 5038, 912, 1038, 1820, 3488, 27768, 265, 279, 5038, 815, 476, 22724, 279, 3199, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4792, 912, 1038, 1820, 3488, 27768, 265, 279, 4792, 815, 476, 14838, 11260, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 5780, 912, 1038, 1820, 3488, 27768, 265, 279, 5780, 815, 476, 14838, 30420, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 6858, 912, 1038, 1820, 3488, 27768, 265, 279, 6858, 815, 476, 14838, 278, 4792, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 6924, 912, 1038, 1820, 3488, 27768, 265, 279, 6924, 815, 476, 16348, 271, 2568, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7597, 912, 1038, 1820, 3488, 27768, 265, 279, 7597, 815, 476, 16348, 28307, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 3583, 912, 1038, 1820, 3488, 27768, 265, 279, 3583, 815, 476, 16348, 20981, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 9262, 272, 912, 1038, 1820, 3488, 27768, 265, 9262, 272, 815, 476, 16348, 280, 3393, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7761, 912, 1038, 1820, 3488, 27768, 265, 279, 7761, 815, 476, 27038, 13301, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 9262, 274, 912, 1038, 1820, 3488, 27768, 265, 9262, 274, 815, 476, 27038, 276, 3374, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 9262, 275, 912, 1038, 1820, 3488, 27768, 265, 9262, 275, 815, 476, 27038, 279, 1789, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4037, 912, 1038, 1820, 3488, 27768, 265, 279, 4037, 815, 476, 28670, 10219, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 9262, 277, 912, 1038, 1820, 3488, 27768, 265, 9262, 277, 815, 476, 28670, 22213, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 6507, 912, 1038, 1820, 3488, 27768, 265, 279, 6507, 815, 476, 28670, 278, 1428, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4281, 912, 1038, 1820, 3488, 27768, 265, 279, 4281, 815, 476, 28796, 18089, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 8064, 912, 1038, 1820, 3488, 27768, 265, 279, 8064, 815, 476, 28796, 25134, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 3199, 912, 1038, 1820, 3488, 27768, 265, 279, 3199, 815, 476, 28796, 7785, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 272, 912, 1038, 1820, 3488, 27768, 265, 6434, 272, 815, 476, 28796, 279, 4817, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 273, 912, 1038, 1820, 3488, 27768, 265, 6434, 273, 815, 476, 18605, 5002, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 274, 912, 1038, 1820, 3488, 27768, 265, 6434, 274, 815, 476, 18605, 4366, 276, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 275, 912, 1038, 1820, 3488, 27768, 265, 6434, 275, 815, 476, 18605, 278, 3199, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 5952, 912, 1038, 1820, 3488, 27768, 265, 279, 5952, 815, 476, 28360, 271, 4037, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 277, 912, 1038, 1820, 3488, 27768, 265, 6434, 277, 815, 476, 28360, 24907, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 278, 912, 1038, 1820, 3488, 27768, 265, 6434, 278, 815, 476, 28360, 277, 4792, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 31229, 912, 1038, 1820, 3488, 27768, 265, 31229, 815, 476, 28360, 31634, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 280, 912, 1038, 1820, 3488, 27768, 265, 6434, 280, 815, 476, 26783, 14838, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 3445, 912, 1038, 1820, 3488, 27768, 265, 279, 3445, 815, 476, 26783, 20862, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 272, 912, 1038, 1820, 3488, 27768, 265, 8660, 272, 815, 476, 26783, 279, 3393, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 273, 912, 1038, 1820, 3488, 27768, 265, 8660, 273, 815, 476, 28091, 9610, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 274, 912, 1038, 1820, 3488, 27768, 265, 8660, 274, 815, 476, 28091, 31973, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 275, 912, 1038, 1820, 3488, 27768, 265, 8660, 275, 815, 476, 28091, 278, 1789, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4817, 912, 1038, 1820, 3488, 27768, 265, 279, 4817, 815, 476, 25784, 28276, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 277, 912, 1038, 1820, 3488, 27768, 265, 8660, 277, 815, 476, 25784, 17168, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 278, 912, 1038, 1820, 3488, 27768, 265, 8660, 278, 815, 476, 25784, 277, 1428, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7176, 912, 1038, 1820, 3488, 27768, 265, 279, 7176, 815, 476, 25784, 280, 1015, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4200, 912, 1038, 1820, 3488, 27768, 265, 279, 4200, 815, 476, 25228, 13078, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 25616, 912, 1038, 1820, 3488, 30640, 265, 25616, 815, 476, 25172, 7785, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 272, 912, 1038, 1820, 3488, 30640, 265, 5952, 272, 815, 476, 25172, 8660, 277, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 273, 912, 1038, 1820, 3488, 30640, 265, 5952, 273, 815, 476, 21857, 4572, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 274, 912, 1038, 1820, 3488, 30640, 265, 5952, 274, 815, 476, 21857, 4366, 279, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 275, 912, 1038, 1820, 3488, 30640, 265, 5952, 275, 815, 476, 21857, 4281, 275, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4649, 912, 1038, 1820, 3488, 30640, 265, 279, 4649, 815, 476, 26562, 24699, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 277, 912, 1038, 1820, 3488, 30640, 265, 5952, 277, 815, 476, 26562, 4391, 277, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 278, 912, 1038, 1820, 3488, 30640, 265, 5952, 278, 815, 476, 26562, 6858, 273, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 279, 912, 1038, 1820, 3488, 30640, 265, 5952, 279, 815, 476, 26562, 280, 6924, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 280, 912, 1038, 1820, 3488, 30640, 265, 5952, 280, 815, 476, 22724, 25784, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 2568, 912, 1038, 1820, 3488, 30640, 265, 279, 2568, 815, 476, 22724, 28794, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 8618, 912, 1038, 1820, 3488, 30640, 265, 279, 8618, 815, 476, 22724 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 623, 787, 528, 589, 630, 1960, 279, 264, 634, 10072, 543, 11837, 540, 2068, 4187, 1387, 9233, 538, 22959, 269, 20703, 269, 7233, 5336, 2222, 2041, 3955, 716, 269, 476, 1556, 281, 476, 280, 6924, 1700, 7818, 15434, 1067, 670, 295, 630, 3422, 278, 264, 7233, 10466, 543, 2622, 30495, 13870, 269, 623, 4148, 11961, 839, 577, 583, 345, 715, 778, 5341, 1084, 7345, 518, 630, 653, 476, 276, 2190, 1040, 30495, 10466, 27545, 267, 1546, 696, 269, 540, 10787, 17754, 325, 629, 686, 5287, 7345, 518, 17985, 267, 22676, 330, 639, 523, 1546, 31864, 623, 297, 14875, 630, 1960, 278, 264, 11202, 4094, 1285, 597, 18834, 543, 2030, 4187, 281, 513, 1883, 1909, 585, 6284, 269, 12367, 7233, 2233, 269, 476, 273, 281, 476, 3393, 273, 1700, 3393, 279, 29439, 10102, 631, 630, 4198, 277, 264, 1546, 5060, 16702, 1562, 562, 7572, 17156, 14193, 678, 714, 546, 753, 682, 20918, 23759, 1735, 1107, 623, 778, 344, 10972, 680, 2670, 610, 344, 345, 2801, 8381, 5336, 1783, 267, 623, 778, 2643, 2684, 639, 838, 269, 3413, 269, 561, 1872, 839, 10753, 1168, 269, 24695, 339, 9332, 4471, 6261, 1506, 339, 2684, 1301, 269, 476, 276, 281, 476, 11820, 1700, 14138, 12603, 25632, 22804, 1299, 17312, 23834, 630, 2735, 275, 264, 1323, 12105, 543, 4294, 5133, 540, 5521, 1979, 8040, 269, 7788, 340, 269, 4860, 269, 9980, 558, 565, 269, 476, 3066, 281, 476, 5325, 272, 1700, 27843, 667, 933, 1731, 520, 594, 267, 7937, 332, 670, 267, 5839, 298, 20044, 773, 590, 267, 4793, 1562, 517, 674, 267, 18095, 1258, 590, 1299, 13158, 743, 858, 324, 681, 630, 1960, 275, 264, 5948, 540, 513, 5027, 15262, 609, 646, 1087, 1014, 8038, 4187, 5444, 670, 280, 538, 10568, 269, 634, 528, 269, 10331, 269, 2637, 564, 269, 476, 8660, 281, 476, 280, 5038, 1700, 280, 6924, 667, 933, 1731, 520, 594, 267, 7937, 332, 670, 267, 4793, 1562, 517, 674, 1299, 18095, 1258, 590, 630, 1960, 278, 264, 22384, 540, 681, 4338, 291, 12508, 585, 476, 1556, 646, 1087, 1014, 8038, 4187, 6090, 538, 10568, 269, 634, 528, 269, 10331, 269, 2637, 564, 269, 476, 11463, 281, 476, 275, 866, 1700, 275, 2537, 14174, 302, 1107, 5253, 543, 16581, 25944, 630, 1960, 280, 264, 17985, 4629, 4306, 2969, 281, 6176, 3590, 593, 5253, 543, 11982, 269, 14174, 302, 267, 7507, 22513, 18372, 16777, 630, 3422, 273, 264, 8556, 13577, 1867, 540, 519, 10615, 540, 11982, 585, 476, 3422, 271, 630, 653, 269, 476, 14225, 1700, 21172, 1040, 9980, 558, 1108, 10406, 267, 2051, 558, 2692, 267, 9919, 14125, 3171, 340, 32576, 595, 267, 5576, 12329, 16673, 337, 717, 1299, 918, 11839, 645, 630, 1960, 278, 264, 17449, 28295, 540, 513, 1007, 13805, 6438, 32635, 5444, 23876, 693, 700, 337, 1015, 2068, 4187, 30580, 540, 10568, 269, 7233, 808, 269, 476, 1556, 281, 476, 3393, 1700, 7367, 7579, 670, 295, 630, 3192, 272, 264, 7351, 4567, 540, 519, 5444, 16519, 24932, 324, 1523, 269, 7788, 340, 269, 4860, 269, 24695, 9008, 987, 565, 269, 476, 280, 281, 476, 22550, 1700, 30640, 4813, 639, 2129, 11536, 267, 24051, 3832, 1777, 808, 295, 267, 4563, 654, 290, 10001, 1299, 26573, 808, 297, 630, 1960, 277, 264, 11557, 5532, 18472, 540, 2205, 18834, 1996, 10568, 4187, 5444, 670, 280, 538, 519, 670, 612, 1014, 8038, 630, 291, 760, 614, 320, 281, 595, 1815, 573, 3912, 328, 13160, 1040, 7788, 340, 269, 9980, 558, 565, 269, 17502, 269, 589, 1067, 269, 476, 8660, 281, 476, 275, 2764, 1700, 275, 4097, 11829, 684, 681, 299, 630, 3192, 279, 264, 21834, 540, 1979, 8040, 645, 543, 595, 540, 519, 670, 612, 1014, 8038, 269, 7788, 340, 269, 9980, 558, 565, 269, 17502, 269, 589, 1067, 269, 476, 10170, 281, 476, 4366, 272, 1700, 4366, 277, 11829, 684, 681, 299, 1299, 24051, 3832, 1777, 808, 295, 630, 3422, 280, 264, 18726, 2963, 540, 17594, 540, 15954, 538, 519, 670, 612, 1014, 8038, 269, 7788, 340, 269, 9980, 558, 565, 269, 17502, 269, 589, 1067, 269, 476, 8287, 281, 476, 9610, 271, 1700, 9610, 278, 717, 1177, 601, 27359, 1299, 19258, 27451, 8028, 630, 1960, 274, 264, 10886, 1436, 540, 3604, 1063, 3043, 1922, 15533, 1210, 681, 4338, 291, 6261, 10135, 269, 24538, 20703, 269, 22776, 269, 476, 273, 281, 476, 3451, 1700, 4343, 28711, 29172, 267, 24051, 3832, 1777, 808, 295, 1299, 681, 879, 653, 654, 297, 630, 2735, 278, 264, 26537, 23865, 11837, 540, 646, 1087, 1014, 8038, 1107, 4187, 5444, 670, 1724, 538, 519, 667, 11646, 540, 10568, 269, 808, 269, 670, 1229, 640, 476, 4281, 281, 476, 9032, 1700, 1911, 6153, 7773, 11682, 1299, 7788, 529, 20793, 630, 1960, 272, 264, 21826, 8446, 540, 4719, 8390, 543, 2619, 9189, 540, 2274, 696, 657, 6495, 4997, 5672, 592, 753, 676, 4351, 28659, 26340, 545, 5027, 22368, 269, 10331, 269, 30287, 269, 19287, 2723, 269, 476, 6872, 281, 476, 27886, 273, 1700, 27886, 277, 717, 641, 23750, 590, 1299, 1261, 590, 25286, 630, 1960, 279, 264, 8376, 4187, 281, 3564, 519, 4187, 6090, 269, 12367, 7233, 2233, 269, 476, 274, 281, 476, 21709, 1700, 21172, 717, 832, 651, 24700, 1299, 590, 749, 667, 298, 630, 3192, 277, 264, 18726, 3604, 1851, 519, 5083, 331, 2033, 4718, 12187, 1979, 8040, 269, 808, 269, 670, 1229, 640, 476, 6858, 281, 476, 27244, 1700, 28638, 454, 294, 549, 591, 623, 1299, 2398, 553, 611, 19301, 630, 2735, 271, 264, 645, 542, 15299, 540, 2048, 338, 559, 591, 9496, 685, 7086, 8038, 267, 2107, 572, 16288, 610, 344, 345, 2801, 630, 24841, 5336, 1783, 9984, 589, 11641, 540, 7573, 538, 3127, 269, 595, 1815, 573, 269, 4139, 324, 476, 272, 281, 476, 2537, 1700, 10844, 20831, 918, 300, 1299, 717, 27158, 681, 297, 630, 2735, 273, 264, 13517, 540, 519, 3979, 7086, 544, 3805, 267, 2107, 572, 16288, 610, 344, 345, 643, 7702, 838, 8542, 269, 609, 13354, 4967, 593, 519, 7489, 7573, 7086, 544, 3805, 630, 24841, 5336, 1783, 264, 667, 760, 614, 320, 281, 595, 1815, 573, 3912, 328, 13160, 269, 18409, 269, 9980, 269, 1763, 269, 476, 7761, 281, 476, 5379, 278, 1700, 5325, 273, 24051, 3832, 1777, 808, 295, 1299, 11829, 684, 681, 299, 630, 3192, 271, 264, 21834, 540, 519, 2702, 540, 519, 670, 612, 1014, 8038, 267, 2904, 564, 2723, 320, 3186, 1192, 528, 547, 7639, 593, 765, 1846, 2348, 1114, 6090, 585, 4187, 269, 7788, 340, 269, 9980, 558, 565, 269, 17502, 269, 589, 1067, 269, 476, 8287, 281, 476, 9610, 271, 1700, 9610, 278, 670, 1122, 1372, 330, 3430, 328, 681, 300, 630, 4572, 278, 264, 634, 7573, 7086, 544, 3805, 538, 5087, 20855, 4673, 269, 3397, 337, 269, 808, 269, 3127, 476, 2420, 281, 476, 5379, 272, 1700, 5379, 274, 4173, 19049, 681, 310, 630, 1960, 272, 264, 3194, 14422, 585, 7573, 24684, 269, 769, 281, 10609, 2313, 717, 306, 1299, 1677, 3317, 328, 612, 523, 23435, 630, 2644, 264, 19676, 30911, 630, 653, 476, 866, 1700, 7918, 1040, 595, 5723, 4139, 267, 5177, 4173, 19049, 681, 310, 1299, 681, 773, 569, 674, 313, 630, 2735, 278, 264, 4139, 19676, 3194, 13405, 885, 281, 20480, 585, 30911, 9024, 328, 2510, 269, 18842, 651, 325, 11839, 7690, 22544, 593, 2353, 20814, 8249, 585, 15043, 13474, 16581, 3194, 269, 13852, 698, 1470, 267, 7977, 29399, 595, 298, 630, 4198, 278, 264, 5530, 540, 623, 778, 344, 10972, 680, 2670, 610, 344, 345, 2801, 8381, 5336, 1783, 538, 17540, 16644, 1329, 19435, 269, 5101, 3624, 2233, 269, 3397, 337, 269, 808, 269, 476, 277, 281, 476, 27840, 1700, 19054, 1772, 327, 4512, 570, 267, 5696, 541, 26712, 267, 5564, 8643, 26712, 1299, 10609, 2313, 717, 306, 630, 1960, 275, 264, 17449, 11090, 3101, 540, 6090, 585, 6960, 1544, 628, 32111, 4187, 543, 3783, 1465, 703, 5766, 5962, 689, 744, 787, 5633, 513, 14094, 16772, 529, 883, 16916, 7573, 267, 744, 269, 2893, 10216, 269, 32081, 476, 4391, 281, 476, 24241, 1700, 21854, 5840, 623, 630, 4198, 280, 264, 26257, 543, 2500, 2409, 540, 9013, 5521, 10860, 540, 7573, 269, 28540, 269, 1473, 269, 6298, 269, 2233, 269, 645, 267, 476, 5392, 281, 476, 3607, 277, 1700, 3607, 279, 5840, 623, 267, 28174, 30790, 20564, 717, 1299, 590, 21983, 698, 21105, 681, 7776, 962, 630, 4198, 280, 264, 16316, 1867, 540, 519, 6239, 19676, 3194, 4659, 585, 519, 1032, 476, 4198, 277, 1700, 4198, 278, 269, 9980, 558, 1108, 10406, 630, 653, 476, 5379, 1700, 7367, 1040, 29583, 339, 269, 540, 3127, 4964, 267, 2836, 12827, 3279, 267, 3127, 21280, 6062, 25846, 267, 23108, 591, 623, 1299, 10469, 1872, 29914, 9049, 630, 2735, 274, 264, 634, 7573, 7086, 544, 3805, 267, 2107, 572, 16288, 610, 344, 345, 2801, 1107, 513, 5618, 2689, 269, 595, 1815, 573, 4139, 324, 476, 275, 281, 476, 280, 1700, 2641, 17833, 1712, 15406, 630, 2735, 278, 264, 24538, 10860, 540, 7573, 543, 741, 2359, 269, 769, 281, 26890, 8538, 17495, 571, 681, 7776, 631, 1299, 590, 603, 534, 13183, 600, 630, 2644, 264, 7233, 10466, 538, 12197, 15867, 1186, 630, 653, 476, 8618, 1700, 10619, 1040, 10615, 622, 540, 19676, 3194, 267, 5754, 1457, 21171, 267, 3127, 17833, 1712, 15406, 1299, 28564, 584, 23404, 630, 2735, 280, 264, 10886, 1436, 540, 4095, 1979, 8040, 540, 7573, 7086, 544, 3805, 267, 2107, 572, 16288, 610, 344, 345, 2801, 630, 24841, 2173, 1783, 264, 630, 291, 760, 614, 320, 281, 595, 1815, 573, 3912, 328, 13160, 1040, 24538, 2233, 269, 7248, 269, 476, 1015, 281, 476, 25546, 1700, 23470, 20855, 1794, 514, 966, 267, 631, 732, 330, 700, 293, 1299, 1744, 334, 655, 6033, 25846, 630, 1960, 277, 264, 18650, 5444, 1387, 9233, 616, 24721, 543, 7265, 1229, 538, 29704, 269, 28540, 269, 14844, 331, 269, 6298, 269, 2233, 269, 7330, 476, 11152, 281, 476, 14056, 5379, 1700, 14056, 2004, 10127, 335, 589, 1299, 29885, 918, 297, 630, 1960, 278, 264, 5027, 12508, 281, 513, 2518, 7650, 269, 769, 281, 6970, 564, 8457, 268, 2304, 565, 956, 717, 1299, 717, 816, 327, 4752, 6751, 630, 2644, 264, 5027, 12508, 281, 10873, 267, 3156, 543, 7650, 338, 630, 653, 476, 272, 1700, 1724, 1040, 25067, 13305, 6224, 267, 1715, 3840, 918, 10620, 344, 541, 27699, 267, 25941, 601, 717, 267, 18000, 962, 267, 18681, 962, 267, 29399, 645, 267, 715, 1872, 8932, 344, 611, 1372, 700, 267, 22513, 18372, 918, 267, 28564, 584, 23404, 267, 769, 628, 822, 784, 590, 267, 19693, 3626, 590, 1299, 26999, 9116, 808, 630, 1220, 271, 264, 26085, 540, 7489, 7573, 7086, 544, 3805, 630, 7775, 572, 16288, 610, 344, 345, 2801, 8381, 28224, 264, 689, 2947, 2477, 8947, 676, 19200, 10861, 2079, 269, 32081, 476, 6246, 281, 476, 27088, 1700, 28590, 16679, 631, 304, 1299, 12653, 20321, 667, 309, 630, 4198, 276, 264, 2368, 4967, 593, 519, 7573, 7086, 8038, 267, 623, 778, 344, 10972, 680, 2670, 610, 344, 345, 2801, 630, 24841, 5336, 1783, 1040, 808, 269, 25512, 599, 14844, 269, 2876, 269, 17502, 269, 476, 7871, 281, 476, 9032, 1700, 9083, 918, 984, 599, 20076, 631, 267, 918, 644, 698, 600, 720, 595, 1299, 715, 1872, 8932, 344, 611, 1372, 700, 630, 1960, 272, 264, 670, 2096, 523, 16239, 748, 8934, 527, 6950, 540, 519, 7573, 7086, 544, 3805, 267, 2107, 572, 16288, 610, 344, 345, 2801, 630, 24841, 5336, 1783, 264, 1979, 9189, 538, 519, 2038, 10067, 320, 4005, 538, 16444, 20092, 269, 808, 777, 269, 3397, 337, 269, 1763, 31763, 269, 476, 1839, 281, 476, 4792, 1700, 6924, 25421, 5864, 584, 20321, 681, 7776, 645, 295, 1299, 25421, 5864, 584, 20321, 595, 630, 3422, 271, 264, 6513, 540, 1271, 4006, 29647, 543, 533, 23098, 10860, 676, 2686, 2853, 538, 715, 714, 600, 21171, 8664, 269, 1656, 31137, 3397, 878, 269, 808, 269, 476, 278, 281, 476, 25908, 1700, 25248, 454, 9873, 25421, 5864, 584, 20321, 681, 7776, 645, 295, 1299, 25421, 5864, 584, 20321, 595, 630, 3422, 275, 264, 5525, 593, 519, 1083, 13926, 4187, 547, 519, 4323, 540, 533, 23098, 7086, 8038, 267, 623, 778, 344, 10972, 680, 2670, 610, 344, 345, 2801, 630, 310, 269, 631, 12175, 1656, 31137, 3397, 878, 269, 808, 269, 476, 1556, 281, 476, 15389, 1700, 16960, 27958, 589, 267, 1744, 337, 643, 770, 6072, 30400, 1299, 19300, 340, 681, 298, 630, 1960, 280, 264, 18726, 2079, 540, 8121, 290, 476, 6795, 279, 275, 585, 7086, 544 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16538, 5086, 693, 1142, 1439, 540, 741, 3838, 2427, 568, 476, 10037, 5232, 269, 1403, 1312, 5546, 1631, 723, 547, 581, 2834, 1223, 519, 5086, 1869, 581, 476, 10037, 5232, 2496, 2162, 20976, 26305, 13100, 692, 7462, 6520, 476, 1691, 547, 476, 1240, 7420, 5426, 1384, 3528, 1202, 21564, 513, 5858, 538, 513, 4009, 543, 1287, 513, 4009, 538, 513, 5858, 1265, 606, 19406, 547, 14039, 269, 1635, 1210, 513, 15279, 6782, 267, 666, 596, 2087, 593, 519, 19406, 2496, 2162, 700, 8104, 302, 7420, 476, 1015, 910, 19449, 3380, 692, 7462, 6520, 476, 1556, 547, 476, 1626, 7420, 5426, 1384, 1103, 700, 8104, 302, 10580, 666, 581, 4330, 538, 2474, 540, 29977, 609, 606, 12808, 630, 514, 713, 2013, 1804, 1297, 264, 540, 5011, 910, 8495, 713, 4214, 2417, 780, 2162, 7402, 597, 743, 532, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 2304, 31164, 6906, 568, 9361, 593, 1283, 540, 513, 4009, 269, 1548, 568, 519, 8953, 540, 519, 5858, 602, 4931, 30533, 525, 713, 3337, 2496, 2162, 13106, 23585, 17781, 692, 7462, 6520, 476, 1626, 547, 476, 1240, 7420, 5426, 1384, 11693, 1022, 1614, 1875, 12969, 532, 10580, 538, 519, 7077, 1265, 1776, 5858, 610, 2786, 1899, 799, 11912, 782, 1614, 10580, 9647, 690, 517, 958, 780, 2162, 8298, 657, 638, 4100, 692, 7462, 6520, 476, 1626, 547, 476, 1240, 7420, 5426, 1384, 307, 523, 10945, 1106, 2834, 14034, 2901, 609, 11105, 610, 6587, 14622, 15700, 269, 12433, 519, 6418, 543, 9018, 2234, 4512, 540, 519, 14034, 602, 3295, 519, 10945, 780, 2162, 19999, 692, 7462, 6520, 476, 1691, 547, 476, 1240, 7420, 5426, 1384, 763, 6516, 2982, 513, 2834, 20008, 6782, 609, 5011, 540, 1770, 3259, 269, 4855, 782, 519, 7285, 538, 519, 6516, 269, 28171, 602, 519, 29105, 3254, 538, 2699, 568, 513, 32077, 639, 780, 2162, 3245, 2353, 12397, 619, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 1805, 571, 697, 3515, 616, 6537, 689, 1142, 7944, 540, 513, 4009, 547, 519, 4571, 2798, 540, 519, 6587, 5011, 269, 18124, 519, 1858, 540, 519, 12354, 6782, 602, 568, 4646, 693, 519, 8998, 607, 513, 6824, 540, 519, 1858, 540, 519, 4009, 780, 2162, 12054, 328, 1673, 564, 3737, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 288, 4009, 540, 1858, 476, 2412, 4009, 524, 916, 568, 27485, 538, 513, 12931, 22511, 269, 4855, 519, 1858, 540, 519, 4009, 602, 1223, 581, 27485, 538, 513, 5858, 540, 519, 1482, 8953, 269, 0, 16829, 593, 676, 918, 1779, 545, 1712, 692, 258, 17179, 782, 1256, 26027, 9136, 689, 513, 9764, 2582, 5532, 1592, 692, 1103, 713, 1966, 267, 649, 616, 7231, 609, 513, 9764, 2206, 569, 5532, 1592, 602, 3568, 8870, 2418, 269, 634, 4305, 568, 547, 4894, 9136, 689, 519, 9764, 5532, 1592, 602, 723, 606, 1256, 26027, 540, 1305, 11353, 538, 741, 9352, 6041, 780, 1012, 9046, 15048, 543, 13517, 692, 763, 1966, 3340, 721, 547, 4894, 9136, 689, 519, 9764, 5532, 1592, 1759, 593, 513, 1808, 2783, 269, 1284, 991, 547, 2697, 519, 9136, 4171, 9352, 6041, 814, 606, 1256, 1297, 540, 1305, 11353, 630, 23605, 609, 513, 1871, 540, 476, 272, 264, 543, 4894, 873, 1247, 4509, 519, 9764, 2497, 540, 519, 5532, 1592, 780, 1012, 7151, 692, 4131, 781, 1174, 519, 1966, 609, 606, 1383, 269, 6333, 519, 1739, 9764, 5532, 1592, 1384, 1730, 24314, 8562, 983, 21912, 5903, 281, 476, 274, 9847, 476, 1321, 9847, 476, 3953, 9847, 476, 1691, 9847, 476, 2767, 9847, 476, 866, 9847, 476, 272, 9847, 476, 1240, 9847, 476, 274, 630, 3724, 547, 519, 1376, 264, 1730, 692, 5475, 9427, 9136, 609, 1256, 26027, 540, 1305, 11353, 267, 519, 9764, 5532, 1592, 1058, 1413, 899, 713, 1384, 1730, 9556, 1881, 8562, 983, 21912, 5903, 281, 476, 3953, 9847, 476, 1691, 9847, 476, 866, 9847, 476, 272, 9847, 476, 3953, 630, 3724, 547, 519, 1376, 264, 1730, 692, 1012, 22830, 547, 16534, 692, 2414, 4194, 713, 1966, 267, 649, 666, 1246, 891, 3268, 1384, 272, 269, 3004, 2091, 519, 9764, 5532, 1592, 1210, 519, 2387, 31184, 319, 24072, 563, 273, 269, 1280, 1142, 6843, 267, 5173, 519, 1297, 540, 1305, 11353, 630, 23605, 609, 513, 1871, 540, 476, 272, 264, 538, 922, 9352, 6041, 1210, 519, 2387, 322, 719, 13729, 30531, 319, 1599, 563, 274, 269, 6744, 952, 519, 1293, 540, 1305, 11353, 568, 1256, 269, 1403, 621, 568, 267, 1665, 519, 6843, 585, 8851, 563, 275, 269, 3004, 2091, 519, 9764, 5532, 1592, 1586, 1210, 519, 2387, 31184, 319, 24072, 267, 713, 942, 609, 519, 6662, 540, 9427, 519, 6825, 9136, 563, 276, 269, 1280, 1142, 6825, 6843, 267, 4894, 621, 689, 519, 1592, 1247, 4509, 519, 9764, 2497, 780, 1012, 28342, 665, 1712, 692, 18606, 24525, 11966, 10031, 8873, 454, 30976, 1125, 1448, 607, 14275, 692, 6112, 10917, 568, 711, 14275, 912, 604, 524, 719, 13729, 30531, 6025, 11391, 21606, 264, 568, 1256, 912, 14513, 18416, 815, 10917, 454, 31184, 815, 10917, 12785, 454, 604, 25581, 568, 2766, 912, 2260, 3816, 8221, 513, 2582, 6843, 454, 18571, 815, 14275, 454, 31184, 815, 14275, 454, 12828, 912, 18571, 12785, 815, 10917, 454, 12828, 952, 25581, 568, 2766, 912, 604, 1448, 568, 711, 14275, 912, 2260, 17179, 2063, 6843, 454, 18571, 815, 1448, 454, 12828, 912, 604, 1448, 568, 711, 14275, 912, 2260, 17179, 13591, 6843, 454, 4812, 12785, 815, 10917, 454, 14513, 18416, 815, 14275, 454, 12828, 912, 4812, 815, 10917, 454, 31184, 815, 10917, 12785, 454, 2260, 17547, 519, 1184, 454, 31184, 815, 14275, 32526, 1012, 23990, 19247, 692, 272, 269, 3004, 2091, 519, 9764, 5532, 1592, 1210, 519, 2387, 31184, 319, 24072, 563, 273, 269, 12433, 519, 1297, 540, 1305, 11353, 538, 519, 9352, 6041, 540, 519, 1699, 6843, 781, 1239, 1210, 519, 2387, 322, 719, 13729, 30531, 319, 1599, 563, 274, 269, 6744, 952, 519, 1293, 540, 1305, 11353, 568, 1256, 269, 1403, 621, 568, 267, 1665, 519, 1699, 6843, 585, 8851, 563, 275, 269, 13689, 593, 2436, 519, 1699, 6843, 630, 319, 14513, 18416, 319, 264, 568, 519, 2212, 267, 2766, 267, 610, 606, 13591, 6843, 267, 4894, 519, 6843, 689, 519, 1592, 1247, 4509, 519, 9764, 2497, 563, 276, 269, 1403, 519, 1699, 6843, 781, 1239, 3085, 1405, 723, 606, 1256, 1297, 540, 1305, 11353, 267, 9337, 519, 2387, 4812, 319, 24072, 547, 2387, 31184, 319, 543, 1847, 2387, 31184, 319, 547, 519, 1985, 6843, 563, 277, 269, 1403, 2387, 31184, 319, 814, 6603, 1394, 547, 519, 2212, 267, 2165, 3729, 519, 8520, 676, 4259, 2387, 31184, 319, 547, 14275, 780, 1012, 5384, 29203, 692, 272, 269, 769, 519, 2387, 322, 719, 13729, 30531, 319, 1599, 267, 519, 1297, 540, 1305, 11353, 568, 18886, 1210, 3787, 3772, 4238, 269, 901, 5106, 568, 13401, 538, 3586, 942, 267, 7488, 540, 519, 3403, 1871, 269, 4935, 267, 519, 942, 6988, 540, 519, 2387, 322, 719, 13729, 30531, 319, 1599, 568, 744, 263, 272, 6393, 273, 269, 769, 519, 2387, 24525, 11966, 319, 1599, 267, 649, 29906, 519, 9764, 5532, 1592, 7466, 269, 634, 1101, 21986, 531, 14439, 9136, 609, 1256, 26027, 540, 1305, 11353, 269, 634, 2034, 21986, 531, 18788, 891, 9136, 1247, 4509, 519, 9764, 2497, 269, 5637, 21986, 1023, 723, 513, 942, 6988, 540, 744, 18217, 1070, 1141, 715, 568, 519, 1297, 540, 9136, 538, 519, 5532, 1592, 780, 1012, 19410, 692, 8923, 2671, 707, 1702, 547, 2087, 3009, 543, 1543, 3044, 269, 4746, 10505, 707, 22027, 267, 543, 1449, 2013, 269, 1284, 2087, 676, 707, 5955, 269, 1284, 786, 2119, 547, 8207, 707, 13214, 607, 4166, 607, 2009, 780, 290, 20975, 454, 9824, 894, 5403, 0, 22724, 5784, 454, 288, 2780, 7028, 835, 2232, 543, 1079, 2232, 5528, 269, 2353, 519, 17372, 525, 616, 519, 3965, 9607, 269, 15350, 2450, 568, 476, 272, 300, 2421, 974, 269, 1215, 1082, 835, 2232, 5528, 616, 2009, 952, 621, 814, 476, 13301, 1079, 9607, 5528, 286, 630, 10112, 2541, 9352, 5528, 3009, 814, 476, 4366, 11353, 994, 347, 476, 22724, 5784, 692, 514, 713, 1966, 1109, 2698, 2450, 540, 6044, 3009, 815, 476, 4366, 3787, 692, 284, 1109, 476, 279, 1109, 1341, 476, 736, 1341, 476, 736, 692, 326, 1508, 602, 1109, 476, 13301, 1109, 568, 1079, 2232, 6044, 692, 8145, 8724, 1109, 815, 1109, 476, 273, 317, 279, 910, 1109, 476, 13301, 692, 284, 1109, 476, 16348, 910, 476, 13301, 815, 476, 1626, 692, 1156, 576, 1109, 835, 2232, 6044, 1109, 815, 1109, 476, 1626, 265, 476, 13136, 1741, 815, 1109, 476, 23470, 692, 2421, 700, 5819, 630, 277, 269, 274, 330, 2798, 994, 572, 21124, 676, 454, 271, 454, 6343, 568, 519, 2495, 540, 11090, 543, 875, 568, 621, 476, 279, 888, 266, 272, 454, 20357, 2698, 6044, 476, 4366, 3787, 476, 1109, 604, 579, 2655, 847, 476, 273, 2232, 621, 1797, 630, 4366, 268, 736, 268, 736, 264, 815, 476, 279, 3787, 454, 266, 272, 692, 11357, 513, 14720, 476, 955, 285, 538, 713, 6044, 513, 543, 536, 616, 3965, 9607, 543, 1016, 568, 1566, 13892, 630, 11090, 538, 713, 3070, 25589, 271, 454, 758, 9684, 579, 27205, 563, 271, 454, 338, 597, 855, 875, 1705, 649, 1205, 3965, 2232, 284, 736, 888, 266, 272, 692, 287, 761, 639, 692, 300, 25514, 12025, 815, 476, 272, 15406, 815, 476, 13136, 645, 815, 2525, 285, 476, 736, 11353, 2838, 547, 2697, 835, 1635, 974, 538, 713, 6189, 692, 271, 454, 8117, 972, 786, 581, 476, 2537, 3787, 711, 476, 736, 1317, 476, 1109, 527, 781, 476, 272, 332, 2421, 974, 0, 258, 6184, 4327, 15620, 27153, 538, 3002, 8264, 12542, 692, 1892, 22510, 325, 3641, 454, 1103, 5758, 267, 519, 2604, 538, 519, 15620, 568, 2799, 676, 476, 274, 269, 273, 4699, 540, 16035, 950, 789, 616, 5116, 538, 519, 13621, 4672, 543, 1216, 23854, 563, 1372, 1417, 325, 3641, 692, 1012, 14581, 15048, 692, 10521, 4837, 15620, 540, 3160, 4320, 616, 4448, 676, 513, 7522, 8546, 543, 616, 4904, 609, 513, 3154, 693, 12361, 271, 17353, 15132, 348, 290, 1012, 543, 513, 2604, 540, 12361, 10602, 20728, 346, 4699, 348, 1012, 540, 16035, 269, 2290, 540, 519, 15620, 568, 1287, 5116, 538, 13621, 4672, 543, 519, 824, 568, 5116, 538, 1216, 693, 12361, 7830, 17353, 15132, 348, 290, 1012, 269, 1548, 568, 519, 1007, 1871, 540, 519, 2604, 3330, 519, 15620, 286, 634, 4320, 540, 519, 8220, 8546, 568, 30050, 780, 1012, 14581, 12307, 692, 2330, 11901, 284, 333, 20670, 9681, 1012, 634, 28055, 693, 513, 8827, 692, 296, 993, 711, 2386, 875, 547, 3801, 713, 2243, 513, 2370, 20726, 1131, 581, 5363, 269, 1809, 267, 1869, 594, 786, 1397, 1250, 960, 780, 7712, 519, 15620, 616, 27153, 538, 1114, 23854, 2348, 1114, 5210, 267, 865, 519, 2837, 538, 1312, 519, 15620, 666, 581, 3274, 1336, 856, 676, 519, 4998, 3154, 3830, 269, 2913, 519, 15941, 27153, 538, 519, 13621, 4672, 13111, 581, 15941, 476, 272, 543, 519, 824, 835, 581, 15941, 476, 273, 780, 3383, 267, 519, 2604, 538, 519, 15941, 476, 272, 3788, 24240, 2094, 519, 15941, 729, 7620, 693, 12361, 271, 17353, 15132, 348, 290, 1012, 543, 519, 13111, 538, 799, 621, 568, 6854, 568, 849, 693, 519, 1482, 2837, 780, 4407, 585, 15941, 476, 273, 621, 568, 6854, 538, 513, 13111, 799, 814, 513, 2837, 2362, 982, 922, 3355, 2837, 269, 1306, 519, 4320, 540, 519, 15941, 3788, 3586, 865, 519, 2604, 538, 15941, 476, 273, 568, 692, 11377, 13320, 13997, 263, 303, 318, 273, 264, 13925, 328, 12453, 18950, 303, 318, 273, 264, 13925, 325, 3686, 7807, 13320, 13997, 263, 307, 318, 273, 264, 13925, 328, 12453, 18950, 307, 318, 273, 264, 13925, 325, 14990, 574, 18680, 2715, 263, 303, 318, 273, 264, 13925, 325, 4153, 13627, 476, 11152, 269, 273, 20728, 346, 4699, 540, 29666, 6525, 563, 3719, 594, 1810, 1405, 1745, 602, 713, 568, 2953, 630, 2254, 1152, 1813, 547, 519, 1249, 602, 519, 1433, 3947, 513, 1114, 2626, 264, 607, 972, 786, 581, 930, 3002, 26634, 998, 519, 11425, 8220, 519, 1079, 15620, 269, 1809, 1586, 1813, 547, 519, 23854, 23478, 519, 3586, 2837, 22543, 17802, 263, 7474, 781, 1018, 594, 1589, 23854, 798, 264, 1287, 1862, 296, 993, 2731, 11821, 780, 763, 1433, 6645, 602, 519, 31529, 6675, 30337, 2933, 538, 971, 513, 6073, 865, 602, 972, 568, 7344, 11466, 269, 9747, 519, 2837, 538, 519, 15620, 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 ]
[ 10142, 825, 1948, 1509, 25975, 520, 1073, 329, 2131, 6003, 1477, 825, 561, 4565, 1015, 815, 28184, 5793, 11482, 8475, 9852, 664, 845, 3418, 825, 561, 4565, 1015, 9131, 3667, 11172, 815, 834, 7709, 10067, 12118, 11445, 29177, 825, 561, 4565, 1015, 26942, 21405, 284, 1321, 267, 6241, 284, 271, 10142, 825, 1948, 1509, 25975, 520, 1073, 329, 2131, 7127, 1477, 825, 9103, 301, 559, 2967, 815, 28184, 5793, 9950, 660, 787, 9852, 664, 845, 3418, 825, 9103, 301, 559, 2967, 26942, 21405, 284, 1321, 267, 6241, 284, 272, 10142, 825, 1948, 2367, 2086, 559, 16988, 1106, 1477, 825, 1292, 845, 6230, 664, 31467, 14052, 5897, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 1292, 14052, 0, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 20956, 273, 454, 5814, 11885, 607, 5286, 7531, 5035, 12384, 299, 1601, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 7456, 1601, 815, 476, 271, 692, 825, 1219, 4464, 4311, 267, 586, 267, 512, 2187, 1038, 8173, 1038, 17276, 510, 373, 29004, 362, 419, 506, 509, 14395, 508, 29219, 344, 25520, 27447, 24731, 29219, 18777, 350, 28997, 501, 29754, 454, 1038, 2433, 12407, 586, 912, 1038, 2433, 12407, 512, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 1582, 7456, 1601, 815, 586, 910, 512, 454, 1038, 2132, 5286, 27904, 4311, 7456, 1601, 2608, 1582, 7456, 1601, 264, 1315, 1582, 7456, 1601, 17482, 314, 272, 316, 1315, 476, 273, 692, 825, 1219, 18807, 4311, 2187, 1038, 8173, 1038, 476, 13213, 498, 18713, 508, 25203, 362, 31176, 491, 418, 357, 350, 417, 508, 489, 7511, 29754, 454, 1038, 2433, 8873, 912, 1038, 8173, 1038, 2132, 1582, 7456, 1601, 7531, 5035, 674, 290, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 538, 19571, 267, 856, 19571, 267, 561, 337, 284, 271, 269, 272, 2187, 1038, 8173, 1038, 476, 10254, 507, 417, 356, 489, 25060, 500, 421, 504, 494, 420, 17302, 31271, 480, 7511, 420, 488, 480, 30536, 14748, 12255, 18998, 23521, 481, 19404, 491, 419, 509, 358, 421, 502, 369, 7076, 18998, 417, 479, 493, 419, 377, 362, 321, 5362, 25520, 27730, 18263, 510, 27064, 485, 331, 337, 454, 1038, 2433, 12407, 538, 19571, 912, 1038, 2433, 12407, 856, 19571, 912, 1038, 2433, 12407, 561, 337, 912, 1038, 8173, 1038, 1582, 11519, 514, 19571, 815, 538, 19571, 454, 1038, 1582, 11519, 719, 19571, 815, 856, 19571, 454, 1038, 1582, 9884, 815, 5286, 20179, 20120, 333, 263, 514, 19571, 267, 856, 19571, 264, 476, 1948, 2597, 3355, 1436, 454, 1038, 1582, 12500, 815, 5286, 25910, 9230, 719, 19571, 267, 476, 272, 4917, 1038, 1582, 7456, 337, 815, 561, 337, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 9041, 338, 31451, 263, 514, 12774, 2187, 1038, 8173, 1038, 13127, 362, 504, 18263, 487, 418, 379, 478, 418, 368, 375, 16583, 30936, 454, 1038, 2433, 12407, 538, 12774, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 2132, 476, 272, 1315, 630, 272, 1341, 5286, 269, 10339, 8987, 514, 12774, 11723, 825, 1219, 4464, 4311, 267, 538, 12774, 2187, 1038, 1582, 6745, 641, 11749, 815, 1582, 11519, 338, 31451, 18828, 31715, 4311, 9884, 11053, 267, 538, 12774, 264, 1341, 1582, 12500, 264, 476, 1948, 476, 18777, 350, 28997, 501, 27447, 24731, 344, 454, 1038, 1582, 12500, 18847, 11749, 815, 538, 12774, 476, 1948, 476, 32517, 507, 419, 499, 503, 30244, 31271, 480, 7511, 27447, 24662, 454, 1038, 2132, 1582, 6745, 641, 11749, 692, 825, 1219, 18807, 4311, 267, 2530, 2187, 1038, 8173, 1038, 17276, 511, 353, 14035, 482, 7511, 29754, 21251, 15159, 419, 506, 509, 14395, 508, 7511, 630, 344, 2389, 8203, 273, 270, 273, 8147, 26033, 490, 15159, 25203, 368, 26406, 354, 7511, 344, 2389, 267, 26033, 490, 344, 2389, 18263, 509, 27882, 352, 15159, 419, 506, 509, 15159, 29754, 7511, 21382, 376, 12255, 454, 1038, 2433, 12407, 2530, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 15895, 318, 345, 815, 2530, 2608, 1582, 6745, 641, 11749, 2608, 630, 272, 910, 1582, 6745, 641, 11749, 264, 476, 1948, 2530, 28098, 345, 7511, 417, 479, 493, 21382, 376, 8147, 29754, 28098, 344, 7511, 417, 479, 493, 21382, 376, 21928, 29754, 18809, 26266, 366, 14756, 493, 28997, 501, 24731, 8147, 22287, 367, 344, 2389, 454, 1038, 5552, 16062, 815, 5286, 31715, 4311, 12500, 18847, 11749, 267, 15895, 318, 345, 11053, 264, 476, 1948, 530, 7511, 418, 351, 363, 18021, 355, 8147, 421, 506, 478, 28884, 17958, 30244, 31271, 480, 7511, 27447, 24662, 343, 28786, 24662, 18777, 350, 28997, 501, 454, 1038, 5552, 10734, 815, 5286, 27904, 263, 637, 573, 783, 318, 345, 264, 476, 1948, 9186, 7511, 418, 351, 363, 18021, 355, 454, 1038, 1582, 9884, 20699, 1582, 7456, 337, 2608, 5552, 16062, 454, 1038, 1582, 12500, 20699, 1582, 7456, 337, 2608, 5552, 10734, 454, 1038, 15895, 13448, 815, 5286, 31715, 4311, 9884, 267, 15895, 318, 345, 264, 476, 1948, 476, 20992, 29072, 18777, 350, 28997, 501, 31176, 491, 13601, 31271, 480, 7511, 342, 7511, 418, 351, 363, 18021, 355, 8147, 10254, 503, 421, 506, 478, 28884, 18777, 350, 28997, 501, 28098, 31176, 491, 13601, 31271, 480, 7511, 345, 7511, 418, 351, 363, 18021, 355, 8147, 10254, 503, 421, 506, 478, 28884, 18777, 350, 28997, 501, 31176, 491, 13601, 31271, 480, 7511, 344, 22287, 367, 30244, 13601, 31271, 480, 7511, 343, 7511, 418, 351, 363, 18021, 355, 8147, 26033, 490, 28098, 30244, 13601, 31271, 480, 343, 7511, 418, 351, 363, 18021, 355, 8147, 23746, 23284, 20881, 504, 13213, 485, 30244, 13601, 31271, 480, 7511, 345, 28098, 30244, 13601, 31271, 480, 7511, 342, 418, 365, 480, 21382, 376, 23523, 501, 24731, 454, 1038, 2132, 15895, 13448, 7531, 5035, 4880, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3403, 19571, 284, 273, 267, 6456, 19571, 284, 275, 267, 856, 19571, 284, 272, 267, 561, 337, 284, 271, 269, 272, 2187, 1038, 1582, 8807, 322, 272, 815, 674, 290, 9272, 19571, 267, 6456, 19571, 267, 561, 337, 994, 1038, 1582, 8807, 322, 273, 815, 674, 290, 22607, 5200, 19571, 267, 856, 19571, 267, 561, 337, 994, 1038, 1582, 7456, 1601, 815, 12384, 299, 1601, 10797, 825, 1219, 5721, 4311, 267, 2473, 267, 586, 2567, 1948, 2473, 616, 11231, 676, 897, 454, 1038, 585, 1775, 538, 2039, 263, 1911, 876, 2187, 2018, 1948, 4464, 1900, 454, 2018, 4494, 272, 719, 815, 1582, 8807, 322, 272, 269, 3453, 11583, 994, 2018, 4494, 273, 719, 815, 1582, 8807, 322, 273, 269, 3453, 10857, 9707, 272, 719, 994, 2018, 2530, 815, 1582, 7456, 1601, 269, 3453, 10857, 9707, 273, 719, 267, 586, 2020, 2018, 1948, 18807, 1900, 454, 2018, 4494, 273, 29754, 815, 1582, 7456, 1601, 269, 3724, 1189, 4590, 2018, 4494, 272, 29754, 815, 1582, 8807, 322, 273, 269, 3724, 1189, 10857, 9707, 273, 29754, 994, 2018, 2892, 3050, 815, 1582, 8807, 322, 272, 269, 3724, 1189, 10857, 9707, 272, 29754, 994, 1038, 4494, 272, 719, 815, 1582, 8807, 322, 272, 269, 3453, 11583, 994, 1038, 4494, 273, 719, 815, 1582, 8807, 322, 273, 269, 3453, 10857, 9707, 272, 719, 994, 1038, 1820, 3488, 311, 28121, 271, 348, 8339, 8971, 11583, 4917, 1038, 1820, 3488, 339, 28121, 271, 348, 8339, 8971, 12169, 4917, 1038, 1820, 3488, 344, 28121, 271, 348, 8339, 8971, 10857, 9707, 273, 719, 264, 9239, 5035, 1230, 341, 299, 9707, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 538, 15220, 14128, 267, 856, 15220, 14128, 267, 17830, 15481, 2187, 1038, 1582, 9884, 815, 5286, 20179, 20120, 333, 263, 514, 15220, 14128, 267, 856, 15220, 14128, 267, 17830, 15481, 267, 17830, 15481, 994, 1038, 1582, 12500, 815, 5286, 25910, 9230, 719, 15220, 14128, 11723, 825, 1219, 575, 1987, 6958, 333, 4311, 267, 29178, 267, 23940, 267, 700, 10033, 267, 533, 19561, 267, 18325, 2187, 1038, 29178, 13448, 815, 29178, 454, 1038, 29178, 14729, 815, 10581, 4433, 7950, 264, 1315, 18325, 454, 1038, 630, 344, 267, 1535, 264, 815, 5286, 6230, 21983, 28186, 18828, 30784, 1052, 8987, 272, 267, 476, 273, 1070, 5286, 30784, 1052, 8987, 272, 267, 476, 273, 4917, 1038, 1948, 15585, 566, 454, 1038, 1535, 318, 9064, 815, 1535, 2608, 5286, 269, 6523, 263, 9064, 264, 1341, 586, 2608, 5286, 4732, 514, 263, 9064, 994, 1038, 586, 318, 9064, 815, 910, 343, 2608, 5286, 4732, 514, 263, 9064, 264, 1341, 586, 2608, 5286, 269, 6523, 263, 9064, 994, 1038, 575, 321, 815, 5286, 269, 10339, 8987, 269, 276, 2608, 630, 343, 318, 9064, 2878, 476, 273, 1315, 29178, 13448, 2878, 476, 273, 1341, 586, 318, 9064, 2878, 476, 273, 1315, 29178, 14729, 2878, 476, 273, 4297, 2608, 5286, 269, 6523, 18692, 2018, 476, 273, 2608, 5286, 32564, 1315, 700, 10033, 2608, 1535, 318, 9064, 1341, 533, 19561, 994, 1038, 2132, 575, 321, 692, 825, 1219, 9041, 516, 1663, 4311, 267, 1535, 2187, 1038, 1535, 20572, 2999, 476, 271, 316, 815, 476, 271, 454, 1038, 2132, 1535, 692, 825, 1219, 5996, 273, 4311, 267, 2473, 267, 737, 2187, 1038, 1535, 32284, 267, 1535, 22674, 815, 2473, 17482, 454, 1038, 737, 32284, 267, 737, 22674, 815, 737, 17482, 454, 1038, 1427, 32284, 267, 1427, 22674, 815, 1535, 32284, 910, 737, 32284, 1341, 476, 272, 267, 1535, 22674, 910, 737, 22674, 1341, 476, 272, 454, 1038, 1427, 815, 5286, 269, 24105, 9230, 4958, 32284, 267, 1427, 22674, 4917, 1038, 585, 586, 538, 2039, 263, 4958, 32284, 2187, 2018, 585, 1535, 538, 2039, 263, 4958, 22674, 2187, 3546, 1016, 815, 2473, 314, 344, 281, 586, 1341, 737, 32284, 267, 1535, 281, 1535, 1341, 737, 22674, 2639, 3546, 1427, 314, 344, 267, 1535, 316, 815, 5286, 27904, 4433, 889, 2608, 737, 994, 1038, 2132, 1427, 692, 825, 1219, 4464, 4311, 267, 538, 12774, 2187, 1038, 1948, 8263, 519, 1101, 4994, 568, 8756, 4994, 454, 1038, 538, 15220, 14128, 267, 538, 32284, 267, 538, 22674, 815, 538, 12774, 17482, 454, 1038, 856, 15220, 14128, 267, 17830, 32284, 267, 17830, 22674, 815, 1582, 9884, 17482, 314, 272, 3910, 1582, 9884, 17482, 314, 273, 3910, 1582, 9884, 17482, 314, 274, 2639, 1038, 1582, 6745, 641, 26371, 815, 5286, 25910, 9230, 719, 15220, 14128, 267, 538, 32284, 910, 17830, 32284, 1341, 476, 272, 267, 538, 22674, 910, 17830, 22674, 1341, 476, 272, 4917, 1038, 585, 795, 538, 2039, 263, 719, 15220, 14128, 2187, 2018, 585, 1775, 538, 2039, 263, 514, 15220, 14128, 2187, 3546, 1582, 6745, 641, 26371, 14728, 316, 6834, 1582, 26769, 341, 273, 263, 514, 12774, 5157, 3910, 1582, 9884, 5157, 267, 795, 7481, 2018, 1582, 6745, 641, 26371, 14728, 316, 6834, 1582, 12500, 14728, 2639, 2018, 1582, 6745, 641, 26371, 14728, 316, 815, 1582, 11519, 516, 1663, 4311, 6745, 641, 26371, 14728, 7481, 1038, 2132, 1582, 6745, 641, 26371, 7531, 3698, 3239, 4671, 4920, 845, 10031, 825, 1319, 815, 20956, 273, 269, 574, 1348, 3488, 1889, 27970, 3299, 476, 271, 994, 825, 4737, 267, 897, 815, 1319, 17482, 454, 825, 1820, 2891, 27729, 540, 708, 326, 568, 630, 346, 271, 9574, 346, 272, 16585, 2668, 8971, 21405, 267, 897, 4917, 825, 538, 12774, 815, 1319, 269, 31412, 263, 272, 267, 4737, 267, 897, 994, 825, 538, 12774, 815, 538, 12774, 269, 770, 4286, 18828, 269, 15615, 264, 1315, 476, 14838, 454, 825, 12301, 269, 574, 19651, 263, 514, 12774, 314, 271, 3910, 4699, 777, 8782, 294, 516, 903, 24417, 5073, 825, 12301, 20481, 10797, 825, 1611, 3519, 341, 815, 1230, 341, 299, 9707, 263, 272, 267, 476, 272, 267, 476, 276, 994, 825, 1611, 3519, 341, 9884, 314, 271, 267, 476, 271, 316, 815, 5286, 269, 2158, 9230, 276, 267, 476, 276, 4297, 1315, 630, 276, 2608, 476, 276, 994, 825, 1611, 318, 719, 815, 1611, 3519, 341, 269, 3453, 263, 514, 12774, 994, 825, 12301, 269, 574, 19651, 263, 11743, 318, 719, 314, 271, 3910, 4699, 777, 8782, 294, 516, 903, 24417, 5073, 825, 12301, 20481, 10797, 825, 865, 10964, 3519, 341, 815, 1230, 341, 299, 9707, 263, 272, 267, 476, 272, 267, 476, 274, 994, 825, 865, 10964, 3519, 341, 9884, 314, 271, 267, 476, 271, 316, 815, 5286, 15126, 8443, 15631, 272, 267, 910, 273, 267, 910, 272, 3910, 1496, 271, 267, 476, 271, 267, 476, 271, 3910, 1496, 272, 267, 476, 273, 267, 476, 272, 316, 7481, 825, 865, 10964, 318, 719, 815, 865, 10964, 3519, 341, 269, 3453, 263, 514, 12774, 994, 825, 12301, 269, 574, 19651, 263, 810, 10964, 318, 719, 314, 271, 3910, 4699, 777, 8782, 294, 516 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1294, 513, 2564, 6595, 267, 713, 2702, 666, 1611, 519, 3017, 1063, 1272, 543, 2669, 563, 2414, 1451, 811, 827, 2921, 519, 1576, 543, 3478, 14468, 267, 3346, 1261, 1430, 5576, 1638, 518, 693, 1496, 16942, 6870, 316, 610, 676, 6049, 693, 630, 2568, 276, 264, 476, 25396, 268, 277, 5038, 277, 269, 0, 1432, 568, 519, 2757, 7544, 540, 519, 29401, 6243, 888, 763, 6071, 978, 826, 568, 2808, 851, 540, 519, 3084, 3961, 540, 519, 29401, 2146, 563, 1432, 568, 29401, 15472, 1572, 888, 300, 699, 978, 826, 568, 519, 3084, 2575, 543, 7544, 540, 519, 29401, 6243, 543, 814, 1831, 513, 2262, 543, 5001, 9135, 602, 568, 24190, 609, 519, 2197, 3294, 563, 7617, 7544, 12090, 538, 519, 29401, 6243, 888, 300, 699, 978, 826, 267, 3943, 544, 2946, 21880, 826, 267, 7008, 7544, 23608, 538, 519, 29401, 6243, 543, 27425, 267, 9244, 6766, 676, 23256, 3241, 534, 543, 25812, 4211, 889, 534, 7574, 2853, 543, 676, 23929, 2429, 5824, 3013, 269, 20323, 267, 543, 1869, 267, 513, 6917, 12563, 7544, 543, 2663, 513, 3440, 3336, 7544, 267, 519, 6071, 978, 826, 568, 693, 922, 1954, 652, 2476, 689, 519, 3440, 3336, 563, 1432, 568, 835, 540, 519, 2189, 23929, 538, 29401, 6243, 888, 763, 631, 699, 978, 826, 568, 519, 3084, 7544, 540, 519, 29401, 6243, 267, 543, 568, 849, 835, 540, 519, 3044, 5824, 1977, 23929, 269, 898, 568, 9247, 513, 4999, 540, 1079, 23929, 281, 519, 3979, 543, 3943, 3687, 340, 564, 267, 689, 519, 3735, 476, 10204, 271, 779, 998, 519, 2038, 476, 5197, 271, 779, 563, 1432, 568, 519, 3084, 2575, 543, 7544, 1106, 4082, 540, 519, 29401, 6243, 888, 300, 699, 978, 826, 568, 519, 3084, 7544, 2575, 540, 519, 29401, 6243, 563, 7617, 5824, 1977, 23929, 12090, 538, 29401, 6243, 888, 763, 631, 699, 978, 826, 568, 519, 3084, 7544, 540, 519, 29401, 6243, 267, 543, 568, 849, 835, 540, 519, 3044, 5824, 1977, 23929, 563, 1432, 568, 519, 1034, 2442, 1106, 2575, 543, 7544, 538, 519, 29401, 6243, 888, 300, 699, 978, 826, 568, 519, 1034, 2442, 2575, 9135, 538, 519, 29401, 6243, 269, 898, 568, 1634, 607, 519, 22657, 540, 6071, 978, 826, 269, 634, 2012, 2501, 689, 519, 3943, 544, 1359, 826, 267, 799, 568, 513, 1826, 540, 17711, 269, 634, 15472, 3322, 3504, 3979, 543, 3943, 12738, 563, 1432, 2186, 540, 7544, 798, 18067, 15092, 798, 888, 300, 699, 978, 826, 630, 270, 332, 16745, 16659, 337, 389, 505, 385, 489, 389, 350, 324, 22688, 32551, 5053, 281, 1496, 1889, 16659, 389, 378, 324, 385, 489, 389, 350, 324, 8079, 568, 513, 2511, 540, 29401, 2575, 543, 7544, 269, 16890, 3180, 1142, 824, 538, 513, 6806, 2990, 563, 7617, 568, 519, 2817, 8535, 540, 519, 29401, 6243, 888, 300, 699, 978, 826, 631, 699, 978, 826, 568, 519, 3084, 2575, 543, 7544, 540, 519, 29401, 6243, 269, 769, 476, 1001, 277, 267, 20648, 29064, 6071, 978, 826, 607, 513, 9457, 12328, 540, 519, 17327, 543, 2271, 26143, 8836, 11595, 540, 5274, 640, 269, 7102, 29401, 786, 2995, 596, 602, 6071, 978, 826, 568, 851, 543, 1612, 4897, 540, 1169, 29401, 779, 9759, 563, 1432, 2186, 540, 2528, 1281, 18067, 3821, 723, 888, 291, 7631, 3821, 568, 1634, 585, 922, 14916, 9976, 1212, 1961, 6561, 269, 4706, 3126, 540, 2238, 18799, 1282, 519, 7115, 4005, 2099, 922, 7029, 547, 2528, 607, 1134, 607, 32351, 540, 519, 3979, 5389, 602, 941, 2451, 3297, 676, 938, 11937, 269, 3220, 563, 6701, 972, 1022, 5389, 538, 519, 29401, 6243, 888, 763, 29401, 6243, 814, 513, 1360, 3309, 2528, 799, 814, 2813, 513, 2647, 3099, 540, 2189, 5389, 269, 1452, 5389, 723, 3140, 543, 2528, 4644, 1808, 547, 519, 2197, 543, 616, 3810, 9976, 676, 519, 11317, 269, 1403, 596, 616, 9683, 519, 2197, 267, 798, 3054, 513, 12797, 543, 2119, 547, 1995, 607, 1082, 540, 891, 5389, 607, 596, 666, 269, 0, 2080, 779, 519, 8382, 547, 519, 7726, 11540, 593, 9365, 454, 304, 269, 589, 1599, 17838, 1239, 883, 513, 5569, 540, 3197, 543, 519, 5569, 540, 3197, 3112, 581, 20328, 547, 556, 268, 22056, 519, 3312, 1239, 269, 1548, 1826, 540, 1599, 568, 713, 888, 288, 269, 6641, 13240, 14238, 454, 289, 269, 1306, 2096, 13240, 14238, 454, 290, 269, 20837, 29905, 454, 12585, 2139, 2394, 4989, 476, 736, 267, 476, 1001, 277, 563, 347, 7476, 936, 476, 6110, 8232, 266, 630, 306, 312, 271, 268, 25002, 2055, 1934, 1040, 2008, 8450, 3848, 476, 1015, 540, 519, 3281, 2316, 288, 8232, 266, 281, 5192, 26133, 5192, 589, 3650, 281, 20219, 271, 268, 25002, 5530, 6651, 269, 0, 1692, 547, 8415, 1514, 2923, 585, 2257, 2792, 454, 2171, 1590, 8415, 782, 2139, 2200, 269, 9701, 594, 22982, 606, 1473, 1311, 8779, 15580, 286, 5715, 1311, 26959, 10022, 17764, 1470, 4972, 540, 4065, 9802, 476, 1001, 279, 22982, 543, 2422, 269, 1403, 596, 616, 2907, 6899, 609, 707, 2296, 267, 855, 596, 1131, 899, 547, 13217, 621, 267, 1287, 594, 2303, 602, 596, 1224, 834, 21093, 519, 9293, 9406, 2580, 676, 570, 6993, 10611, 269, 4258, 2284, 267, 27752, 781, 6226, 652, 7734, 267, 595, 32385, 10620, 630, 2735, 274, 1040, 898, 13000, 11049, 267, 543, 1256, 1310, 782, 1250, 1995, 594, 4121, 513, 2603, 269, 476, 1708, 271, 268, 6860, 268, 6021, 594, 993, 849, 5461, 538, 930, 2093, 593, 875, 547, 8415, 772, 11862, 3927, 538, 1250, 4928, 269, 1546, 8541, 269, 1234, 18680, 563, 268, 31410, 12190, 1774, 330, 454, 268, 21060, 24996, 7401, 454, 268, 1656, 16699, 813, 1014, 328, 454, 268, 670, 337, 1870, 7649, 10693, 454, 268, 5695, 7288, 1115, 8038, 326, 680, 1846, 454, 268, 700, 656, 332, 7564, 25699, 523, 2892, 320, 454, 268, 3798, 559, 18325, 3413, 328, 454, 268, 14924, 325, 1251, 677, 940, 541, 30458, 454, 268, 4787, 520, 974, 591, 8208, 606, 332, 7564, 331, 4871, 330, 15193, 454, 11039, 267, 519, 3017, 1063, 946, 543, 8415, 666, 581, 1336, 538, 519, 3483, 585, 799, 596, 616, 14139, 1945, 282, 950, 596, 8415, 1945, 267, 596, 2285, 621, 513, 1007, 946, 602, 621, 949, 711, 8385, 723, 1185, 269, 22982, 1797, 547, 4497, 609, 1945, 538, 1931, 547, 9585, 513, 4305, 267, 3035, 513, 3804, 267, 610, 1491, 606, 5413, 267, 855, 1152, 950, 519, 6221, 267, 1184, 610, 3510, 568, 6964, 538, 513, 1259, 602, 4422, 3564, 922, 5497, 946, 269, 13773, 2241, 609, 782, 519, 5468, 596, 8415, 585, 707, 11147, 269, 3203, 1740, 666, 849, 581, 8246, 585, 8695, 945, 616, 11259, 547, 5373, 269, 19928, 1903, 786, 581, 8246, 585, 519, 4324, 540, 938, 4182, 1023, 538, 20279, 269, 13760, 799, 25336, 596, 1058, 8415, 585, 519, 1826, 540, 1788, 596, 22738, 563, 12663, 713, 3014, 8415, 1862, 26012, 667, 17768, 10783, 816, 2353, 332, 7564, 333, 3534, 12210, 15664, 518, 454, 291, 523, 3771, 679, 562, 344, 1374, 1775, 795, 7564, 332, 325, 7238, 7758, 572, 1199, 521, 2088, 535, 7238, 2958, 18033, 978, 732, 267, 679, 3331, 370, 591, 23437, 1775, 17450, 6167, 3951, 590, 12702, 22664, 772, 2316, 299, 22003, 292, 1770, 4009, 1016, 269, 679, 515, 1206, 330, 341, 7310, 520, 282, 737, 341, 7310, 520, 1199, 521, 573, 331, 7564, 978, 6577, 476, 272, 269, 1770, 17242, 1016, 563, 763, 7454, 18467, 547, 22982, 8511, 2093, 1948, 13582, 17924, 1088, 1057, 454, 8687, 271, 269, 32040, 1547, 3351, 1047, 630, 628, 2273, 16512, 13737, 2241, 1459, 3351, 2478, 267, 1459, 32096, 3351, 2358, 267, 2241, 2250, 543, 2250, 32096, 3351, 2213, 264, 8415, 281, 26994, 1648, 666, 581, 8246, 585, 12560, 5301, 269, 8415, 281, 634, 2754, 267, 4352, 609, 930, 17756, 267, 2356, 18252, 922, 2200, 1360, 1134, 269, 8415, 281, 8347, 547, 8415, 707, 16837, 585, 2542, 269, 8415, 281, 1284, 1185, 1732, 8415, 938, 2067, 2200, 269, 3752, 1386, 281, 28982, 2052, 594, 8415, 519, 2201, 15675, 1599, 547, 4159, 7956, 593, 519, 5496, 563, 20597, 1157, 553, 538, 558, 476, 1015, 268, 1428, 642, 731, 26196, 269, 918, 7238, 335, 22982, 31802, 547, 674, 5285, 650, 15783, 338, 1285, 667, 12447, 631, 5062, 10719, 2284, 533, 18033, 645, 758, 639, 2593, 269, 808, 7564, 332, 325, 23152, 522, 577, 5734, 3279, 1033, 3915, 580, 4292, 929, 529, 564, 533, 18033, 16497, 3245, 634, 6762, 281, 1323, 32233, 781, 21887, 593, 1215, 1358, 12706, 12736, 940, 24371, 267, 7767, 538, 7464, 24529, 267, 1299, 22982, 454, 300, 1513, 476, 2537, 267, 476, 1708, 271, 2443, 700, 25893, 23414, 16704, 5058, 281, 8838, 4476, 16332, 640, 281, 22982, 18479, 27323, 781, 476, 275, 30346, 1513, 585, 14568, 9751, 27159, 269, 1684, 596, 917, 875, 707, 2866, 2360, 707, 454, 6944, 9776, 5843, 2675, 2100, 853, 1137, 616, 938, 1883, 2127, 540, 6791, 267, 1141, 649, 1683, 519, 1655, 2009, 3937, 543, 3056, 1702, 593, 875, 547, 8415, 621, 269, 6226, 328, 268, 7659, 781, 1871, 14194, 4765, 2533, 8415, 519, 6791, 540, 6226, 328, 268, 7659, 781, 2930, 543, 1587, 3892, 6887, 609, 513, 3376, 5542, 540, 11891, 2139, 585, 454, 14707, 328, 268, 7659, 781, 1871, 14194, 4765, 2533, 8415, 519, 6791, 540, 6226, 328, 268, 7659, 781, 2930, 543, 1587, 3892, 6887, 609, 513, 3376, 5542, 540, 11891, 2139, 585, 454, 309, 541, 325, 23152, 1917, 337, 7564, 985, 320, 2007, 11489, 1140, 1236, 329, 25917, 535, 328, 2658, 562, 7564, 337, 5918, 737, 534, 1793, 2378, 21542, 521, 7238, 837, 1629, 1199, 7188, 1649, 332, 582, 832, 18033, 326, 286, 744, 577, 642, 559, 8208, 838, 601, 3771, 552, 7217, 331, 3394, 3954, 536, 7564, 560, 320, 454, 763, 674, 307, 966, 580, 2102, 666, 581, 2095, 333, 593, 2901, 606, 661, 5263, 610, 513, 4412, 11839, 14764, 563, 6635, 341, 12921, 604, 974, 7829, 562, 867, 20660, 454, 763, 6073, 540, 6051, 540, 26388, 689, 8246, 2960, 22837, 1310, 26388, 512, 8911, 269, 590, 1842, 6759, 321, 5212, 345, 903, 7288, 9774, 807, 6985, 340, 1990, 579, 1399, 331, 714, 578, 1415, 577, 5212, 25247, 6759, 342, 1236, 6759, 337, 1093, 6095, 11312, 8643, 340, 6985, 578, 2096, 16136, 19508, 1777, 1564, 518, 8415, 570, 559, 325, 21417, 329, 269, 8231, 269, 3143, 267, 519, 3684, 1281, 621, 585, 596, 267, 9001, 513, 9682, 563, 340, 6440, 339, 559, 6440, 1125, 269, 1677, 2322, 547, 946, 267, 2523, 547, 1118, 19311, 610, 2500, 946, 540, 281, 606, 1935, 547, 519, 1966, 602, 18252, 519, 5767, 1382, 282, 875, 2371, 8415, 5567, 547, 3132, 5452, 563, 329, 2129, 2335, 525, 6199, 606, 560, 5306, 8755, 3724, 454, 323, 20683, 13362, 3915, 454, 338, 7238, 6390, 533, 18033, 31908, 2958, 626, 17243, 902, 11133, 1067, 454, 297, 3253, 1125, 2659, 8835, 6355, 281, 22982, 519, 5295, 540, 674, 10621, 547, 454, 25219, 559, 1125, 12261, 1063, 2296, 543, 16528, 1519, 19655, 267, 8847, 267, 543, 1644, 1913, 269, 8415, 815, 538, 336, 20364, 1979, 563, 300, 1731, 6130, 536, 329, 23152, 330, 2006, 1236, 18033, 9188, 335, 601, 732, 454, 290, 571, 1375, 344, 2025, 812, 8380, 1010, 11263, 543, 3946, 547, 2965, 454, 763, 2200, 693, 938, 12871, 1223, 723, 1044, 1732, 8246, 269, 12192, 595, 2337, 519, 1560, 8415, 519, 4401, 1459, 538, 707, 1560, 269, 476, 1708, 272, 268, 6734, 268, 1626, 5788, 8415, 630, 13563, 267, 8225, 267, 10228, 3703, 10259, 264, 661, 22029, 1547, 0, 347, 13750, 618, 1475, 2421, 654, 269, 589, 269, 14642, 13871, 543, 661, 1492, 331, 661, 269, 14642, 13871, 8198, 347, 6944, 1026, 1903, 1475, 11675, 13871, 267, 661, 1492, 331, 661, 8198, 21511, 8447, 8629, 2008, 31871, 540, 9664, 1475, 11793, 2008, 2005, 568, 1360, 2312, 543, 1134, 11295, 267, 855, 621, 568, 711, 606, 4367, 547, 4436, 3842, 4436, 8239, 281, 621, 568, 513, 2689, 543, 1931, 569, 6881, 540, 519, 8239, 585, 1053, 945, 2907, 723, 930, 29872, 766, 609, 519, 1893, 269, 594, 1589, 621, 781, 513, 1434, 1433, 269, 16684, 12937, 15311, 2776, 2183, 476, 272, 269, 9978, 22054, 12856, 476, 273, 269, 7638, 2125, 476, 274, 269, 1520, 11187, 7736, 902, 476, 275, 269, 2776, 21752, 676, 281, 476, 273, 269, 2637, 516, 270, 13528, 281, 22419, 281, 16952, 8447, 14474, 281, 6732, 4528, 281, 11709, 632, 700, 8500, 3122, 267, 20307, 269, 4436, 8239, 585, 2257, 1053, 269, 11785, 267, 1261, 987, 476, 630, 8016 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 855, 621, 786, 1039, 547, 519, 5605, 4800, 543, 8978, 1915, 540, 922, 4087, 563, 347, 13911, 1475, 305, 777, 573, 3690, 527, 1475, 23409, 12565, 1475, 1805, 22901, 8364, 2008, 347, 10048, 3011, 25033, 1475, 305, 2129, 337, 1475, 306, 22044, 839, 1475, 1805, 269, 8402, 2961, 2008, 347, 310, 5954, 1475, 274, 269, 273, 332, 630, 1015, 269, 276, 10623, 564, 10534, 273, 269, 278, 332, 630, 5400, 269, 280, 10623, 564, 10534, 273, 269, 276, 332, 630, 5400, 269, 273, 10623, 564, 10245, 347, 21920, 1475, 2420, 269, 280, 332, 630, 4037, 269, 272, 10623, 564, 10534, 2767, 269, 278, 332, 630, 3445, 269, 280, 10623, 564, 264, 630, 691, 545, 4327, 10534, 1691, 269, 273, 332, 630, 5379, 269, 277, 10623, 564, 10245, 18871, 777, 13369, 1475, 5611, 3193, 1475, 13136, 3193, 1475, 4792, 3193, 2008, 288, 12045, 540, 700, 20670, 568, 1769, 7841, 4028, 18302, 630, 28384, 20670, 1070, 849, 5219, 547, 607, 8752, 5450, 549, 269, 6270, 7841, 1811, 616, 6353, 676, 12600, 2924, 540, 1259, 267, 4359, 5721, 1852, 1949, 267, 2110, 2212, 3118, 12588, 267, 543, 6989, 1377, 27756, 269, 1452, 1949, 1935, 519, 18213, 4390, 540, 2407, 1558, 549, 1949, 267, 855, 666, 581, 14949, 547, 4020, 676, 1210, 519, 2702, 540, 700, 305, 26394, 547, 2490, 512, 7660, 14258, 543, 18214, 588, 2465, 704, 9344, 982, 3044, 681, 20670, 6472, 563, 2304, 1271, 3815, 2629, 547, 700, 20670, 568, 519, 5721, 11346, 269, 9521, 7841, 4028, 18302, 267, 10707, 796, 3430, 2105, 609, 13128, 5721, 5106, 630, 2969, 302, 1070, 519, 11346, 568, 513, 1883, 3693, 538, 513, 2922, 267, 1164, 7779, 700, 20670, 5106, 269, 634, 2601, 602, 519, 11346, 568, 865, 1271, 568, 1317, 519, 5721, 13475, 1419, 2196, 593, 9897, 609, 6517, 269, 1403, 14884, 941, 12747, 593, 9897, 267, 513, 1268, 9327, 1405, 581, 972, 547, 3247, 519, 5721, 952, 513, 1286, 15504, 538, 4395, 540, 621, 269, 8752, 7841, 14884, 616, 2965, 1360, 5230, 547, 2061, 3441, 689, 5222, 609, 6517, 269, 4935, 267, 513, 5721, 609, 11083, 302, 568, 711, 968, 2775, 7841, 6100, 634, 6138, 540, 1769, 7841, 568, 602, 513, 11727, 1268, 1058, 581, 593, 1142, 5721, 547, 4308, 609, 18002, 267, 543, 1247, 602, 1268, 568, 972, 267, 646, 610, 1352, 1522, 607, 1134, 7500, 519, 5721, 563, 763, 5767, 5108, 540, 700, 305, 26394, 814, 519, 5413, 540, 9864, 610, 4628, 1970, 22286, 3233, 1374, 267, 609, 519, 6989, 540, 519, 6472, 1152, 476, 4968, 547, 476, 11740, 6515, 630, 1321, 268, 1691, 6279, 264, 1657, 1283, 540, 7841, 267, 513, 12588, 711, 1336, 538, 2901, 4028, 7841, 18302, 6472, 610, 8265, 322, 1513, 269, 901, 2636, 873, 547, 4452, 15915, 267, 1519, 3283, 538, 8868, 577, 4202, 267, 2047, 689, 1970, 8573, 1047, 5867, 602, 616, 711, 1454, 811, 982, 6659, 2427, 19789, 802, 269, 901, 25389, 4170, 547, 1683, 1569, 547, 16981, 15915, 1510, 1210, 7199, 30523, 3076, 1206, 267, 1247, 693, 519, 1482, 942, 1818, 27756, 5488, 543, 4443, 585, 824, 15915, 607, 1134, 563, 7021, 3650, 3515, 3761, 5201, 547, 519, 5318, 5354, 540, 1769, 7841, 1949, 269, 901, 30417, 519, 8594, 540, 15915, 19480, 593, 606, 18546, 1881, 3791, 7841, 269, 634, 667, 1442, 4133, 8752, 24020, 3096, 513, 3044, 3791, 7841, 585, 922, 5122, 1379, 269, 570, 2449, 538, 645, 867, 324, 14513, 267, 5333, 946, 513, 2027, 3791, 268, 571, 559, 12122, 1141, 519, 1379, 568, 1152, 23564, 593, 9944, 519, 911, 916, 267, 1818, 621, 2922, 593, 2749, 10754, 269, 11153, 1949, 538, 2342, 267, 607, 1134, 607, 513, 1906, 5063, 19945, 2989, 1949, 538, 3345, 3013, 946, 17088, 14617, 14884, 563, 5472, 18302, 3028, 3322, 513, 4123, 4752, 1063, 3432, 543, 4908, 540, 13515, 269, 7896, 602, 3247, 4749, 723, 2539, 2949, 3432, 267, 543, 616, 4061, 1447, 10694, 585, 3476, 15143, 269, 24581, 7841, 267, 1769, 7841, 267, 1395, 528, 841, 267, 543, 22084, 21826, 3690, 527, 616, 782, 3029, 540, 4028, 18302, 2443, 799, 3622, 19752, 1164, 3432, 543, 4922, 17898, 3166, 13515, 269, 570, 2449, 616, 513, 1106, 540, 2199, 18302, 267, 1818, 811, 7928, 13515, 563, 8450, 1292, 2376, 281, 570, 1090, 543, 1769, 268, 571, 559, 18302, 1949, 563, 32481, 519, 1158, 972, 616, 1082, 911, 332, 1949, 282, 930, 4266, 1394, 689, 519, 2038, 476, 736, 628, 2540, 855, 9118, 1297, 540, 519, 2025, 1949, 941, 6806, 1524, 609, 519, 9868, 540, 1082, 8109, 2342, 2477, 538, 519, 4571, 268, 736, 628, 2540, 269, 4634, 1498, 1082, 540, 519, 1949, 723, 6806, 1524, 936, 519, 1296, 972, 616, 1869, 911, 332, 1949, 602, 723, 1044, 5665, 1454, 607, 789, 1705, 950, 789, 941, 1101, 3710, 936, 513, 2540, 3516, 269, 2368, 4872, 630, 7945, 607, 11968, 13353, 543, 14948, 4975, 264, 602, 723, 2899, 6806, 1524, 741, 911, 332, 5121, 616, 1631, 538, 519, 5933, 540, 18949, 532, 267, 610, 723, 32206, 267, 930, 540, 741, 911, 332, 1811, 269, 7197, 540, 1769, 7841, 2533, 616, 4867, 8149, 547, 13994, 4327, 6472, 899, 2413, 700, 305, 26394, 267, 1775, 4318, 269, 911, 916, 267, 609, 9868, 540, 1804, 11895, 1558, 549, 17882, 338, 563, 3080, 1899, 540, 1769, 7841, 814, 811, 982, 476, 279, 2053, 519, 4390, 540, 835, 26738, 540, 1863, 3118, 1282, 8445, 2053, 269, 10003, 338, 723, 10700, 4390, 7182, 799, 666, 581, 5462, 676, 6808, 4702, 269, 1358, 2356, 1995, 513, 26093, 15059, 538, 2095, 543, 513, 10565, 6749, 538, 3432, 630, 322, 3326, 13228, 6053, 1634, 607, 513, 6808, 25888, 264, 952, 789, 9765, 827, 476, 273, 267, 1822, 6472, 829, 5662, 829, 26738, 630, 26421, 1286, 10199, 1079, 7643, 3297, 1776, 1040, 4595, 1034, 1004, 945, 5397, 547, 960, 610, 593, 1870, 15143, 798, 865, 4805, 267, 2090, 1397, 602, 519, 3328, 1286, 5003, 3599, 593, 1082, 9897, 8876, 862, 26407, 568, 1152, 827, 476, 272, 269, 273, 1004, 829, 1286, 1282, 519, 1164, 24683, 663, 19060, 5662, 5712, 540, 519, 1554, 269, 1547, 901, 4999, 540, 2188, 7182, 9897, 8876, 1152, 18914, 862, 26407, 547, 513, 5021, 540, 827, 476, 273, 267, 6110, 15915, 829, 5662, 829, 26738, 269, 634, 1966, 666, 581, 7339, 730, 676, 1210, 1164, 268, 21232, 3599, 6174, 630, 9816, 309, 264, 28961, 543, 10962, 11878, 6879, 2130, 3292, 267, 855, 538, 1034, 2665, 519, 3070, 7550, 814, 1044, 547, 1039, 811, 28961, 547, 519, 9897, 269, 11822, 12980, 2982, 602, 538, 1931, 547, 4163, 476, 736, 267, 1822, 18914, 862, 26407, 829, 5662, 829, 4287, 267, 513, 1863, 3118, 1590, 581, 693, 2547, 476, 1240, 28961, 2647, 563, 3528, 4334, 267, 1769, 7841, 6472, 666, 2951, 538, 3818, 21307, 14884, 8876, 909, 547, 476, 736, 267, 1822, 15915, 829, 5662, 538, 1454, 7522, 518, 2924, 6361, 17574, 267, 711, 1454, 811, 982, 1079, 1286, 28961, 2647, 585, 513, 5595, 3950, 1062, 269, 1358, 666, 1419, 581, 2196, 998, 4540, 2749, 10754, 543, 11614, 267, 610, 5116, 538, 519, 1199, 2103, 540, 9897, 269, 1403, 2196, 538, 10754, 267, 14884, 616, 2356, 3908, 676, 2749, 3625, 13080, 547, 827, 2185, 476, 5197, 1790, 817, 10152, 6472, 630, 24798, 15915, 1040, 21952, 593, 476, 273, 8792, 2212, 1811, 1210, 6808, 5365, 11144, 267, 513, 1134, 27059, 1079, 13652, 1188, 1062, 666, 6023, 909, 547, 476, 1789, 14884, 829, 5662, 829, 3950, 267, 8236, 8445, 3928, 540, 936, 476, 736, 267, 1822, 15915, 829, 5662, 538, 1142, 4287, 269, 2859, 4359, 1949, 609, 5094, 2924, 6361, 17574, 1210, 3001, 3625, 1129, 16226, 666, 9765, 476, 1839, 267, 1822, 15915, 829, 5662, 829, 3950, 563, 7197, 3345, 1977, 1769, 7841, 1949, 616, 3908, 676, 3747, 2864, 982, 4390, 543, 25864, 3914, 476, 1015, 267, 1822, 15915, 829, 5662, 829, 3950, 267, 543, 7893, 519, 15915, 829, 4890, 13304, 540, 3950, 720, 5288, 15915, 5645, 829, 4683, 1863, 3118, 28961, 267, 519, 4683, 1863, 3118, 26738, 11438, 811, 6808, 585, 513, 2484, 4130, 2229, 13564, 344, 267, 855, 1949, 11992, 538, 519, 1158, 1419, 723, 1454, 2362, 18213, 12531, 269, 634, 2494, 10042, 8752, 12565, 3690, 527, 3590, 568, 835, 540, 519, 5207, 4390, 3283, 267, 2348, 1373, 18175, 24612, 538, 513, 3126, 540, 20073, 687, 547, 6023, 476, 2412, 267, 1822, 15915, 829, 5662, 829, 4287, 267, 543, 4867, 8876, 909, 547, 476, 6110, 267, 1822, 15915, 829, 1554, 593, 922, 7412, 1948, 272, 269, 898, 31267, 713, 4320, 676, 4881, 476, 275, 21307, 14884, 540, 909, 547, 476, 13670, 271, 15915, 693, 513, 4908, 540, 909, 547, 476, 1789, 14884, 829, 5662, 563, 763, 1942, 540, 1769, 7841, 4070, 9775, 4922, 267, 7361, 4470, 593, 519, 2179, 540, 15993, 532, 543, 11506, 3889, 2838, 269, 589, 5619, 540, 3345, 1977, 1769, 7841, 3785, 2982, 602, 3790, 540, 1034, 700, 20670, 1949, 2039, 689, 1269, 1428, 2929, 829, 13304, 547, 936, 1269, 1911, 2929, 829, 13304, 269, 22208, 781, 1007, 1769, 7841, 1062, 568, 676, 2484, 519, 1034, 7199, 538, 519, 772, 2529, 269, 693, 1269, 9692, 2929, 829, 13304, 267, 2094, 621, 2882, 3573, 15993, 532, 538, 4057, 3037, 2175, 267, 11506, 6810, 267, 543, 10473, 607, 2620, 607, 476, 5197, 3952, 2630, 2666, 1377, 269, 1452, 1267, 538, 3790, 811, 6093, 540, 1016, 1811, 610, 4028, 18302, 1949, 982, 1769, 7841, 269, 2311, 519, 824, 1439, 540, 519, 4336, 267, 2185, 1949, 630, 289, 5306, 20095, 11022, 267, 6682, 6577, 27359, 267, 15762, 26963, 334, 11404, 267, 543, 17865, 8235, 4975, 29031, 264, 30309, 3790, 540, 1447, 982, 1269, 736, 2929, 829, 13304, 269, 3683, 519, 772, 2529, 269, 607, 513, 2898, 267, 27195, 22208, 267, 1007, 1769, 7841, 4070, 3790, 3328, 827, 1269, 3374, 2929, 829, 13304, 269, 1635, 6476, 267, 513, 1863, 3118, 26738, 7269, 3335, 3790, 1269, 736, 2929, 829, 26738, 13304, 585, 1079, 8846, 269, 476, 4595, 513, 1769, 7841, 1899, 666, 4163, 476, 736, 267, 1822, 1004, 829, 5662, 607, 3379, 609, 476, 273, 267, 6110, 1004, 829, 5662, 585, 513, 1863, 3118, 26738, 1282, 8445, 2053, 267, 1769, 7841, 20205, 476, 275, 2053, 519, 20316, 3146, 9134, 1761, 829, 13362, 607, 31278, 1863, 3118, 28961, 563, 23382, 1456, 19814, 7269, 609, 700, 20670, 4070, 666, 4688, 3790, 676, 3257, 1312, 19814, 9283, 543, 7841, 4070, 693, 519, 1482, 942, 269, 1306, 606, 1383, 267, 28631, 781, 570, 268, 3918, 311, 630, 9558, 1636, 566, 28841, 264, 1788, 32206, 954, 8063, 28565, 476, 1839, 543, 476, 18597, 543, 3773, 513, 1769, 268, 571, 559, 7269, 585, 513, 2698, 1942, 540, 1269, 272, 269, 6858, 5479, 936, 2947, 1296, 269, 634, 1942, 540, 476, 1704, 5195, 540, 19814, 9283, 543, 476, 866, 5195, 540, 5595, 13652, 1188, 1769, 7841, 5249, 856, 547, 1269, 866, 269, 274, 2929, 829, 19814, 26738, 28902, 543, 1269, 2767, 269, 277, 2929, 829, 700, 20670, 3950, 28902, 269, 634, 1788, 3357, 538, 896, 6578, 543, 476, 2420, 3275, 6619, 540, 8430, 563, 299, 20670, 1942, 4398, 10607, 13497, 607, 7759, 11429, 4679, 267, 607, 666, 581, 2938, 689, 519, 2338, 1657, 281, 519, 1482, 7841, 1899, 267, 609, 2147, 3854, 543, 5665, 3790, 267, 568, 2484, 811, 3608, 952, 621, 568, 8876, 476, 736, 267, 1822, 1004, 829, 5662, 982, 952, 621, 568, 8876, 476, 13301, 271, 269, 634, 2836, 326, 776, 267, 22598, 595, 6874, 1778, 1031, 1082, 1455, 1769, 7841, 2553, 547, 1832, 3790, 1970, 267, 1519, 10893, 11895, 543, 11506, 3950, 720, 267, 4687, 18302, 544, 8712, 609, 21772, 267, 682, 2084, 2924, 6361, 17574, 689, 26708, 16456, 338, 267, 543, 9256, 700, 20670, 4070, 609, 1863, 3118, 7269, 269, 1306, 513, 1267, 267, 2836, 326, 776, 16034, 4724, 519, 1447, 7199, 1439, 540, 519, 4336, 609, 3854, 3790, 540, 1472, 1269, 2190, 2929, 829, 13304, 563, 4913, 267, 2836, 326, 776, 781, 700, 20670, 7759, 11429, 568, 1454, 2362, 982, 1022, 13380, 772, 2529, 269, 2749, 693, 936, 476, 7742, 267, 1822, 26055, 829, 3018, 1485, 543, 607, 513, 1267, 922, 4398, 540, 3854, 568, 849, 1454, 2362, 269, 4706, 3854, 3790, 941, 476, 414, 483, 497, 602, 540, 519, 5842, 17630, 1062, 267, 513, 4086, 2406, 21092, 835, 538, 519, 772, 2529, 1421, 1247, 922, 7759, 11429, 568, 5111, 7466, 607, 1164, 269, 4935, 267, 2836, 326, 776, 781, 3854, 1942, 829, 3018, 1485, 31115, 568, 1447, 982, 835, 10116, 602, 540, 5842, 17630, 269, 4706, 5665, 3790 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1633, 593, 519, 9533, 5032, 547, 3703, 12052, 593, 519, 7414, 5032, 269, 4516, 568, 5594, 3677, 982, 519, 2136, 2276, 267, 922, 7013, 16705, 267, 855, 814, 1152, 827, 513, 20870, 607, 1082, 1004, 269, 2859, 982, 476, 2764, 2929, 1004, 2661, 538, 4516, 269, 6168, 476, 4037, 2600, 2661, 1369, 476, 1911, 5195, 630, 5611, 21240, 264, 540, 519, 7013, 8473, 269, 13518, 540, 519, 1964, 540, 4516, 568, 796, 514, 4725, 1243, 610, 6094, 569, 20651, 1317, 519, 2197, 814, 27726, 14099, 543, 513, 4049, 2916, 563, 28657, 568, 513, 2244, 540, 1390, 3099, 269, 18975, 532, 10239, 267, 2312, 12647, 267, 543, 18932, 7733, 1118, 519, 2484, 7178, 513, 3148, 540, 1390, 2067, 5898, 269, 674, 691, 615, 24654, 267, 4610, 540, 10568, 543, 824, 9274, 3382, 5318, 9299, 597, 625, 269, 1452, 15417, 3484, 4133, 4334, 12667, 569, 609, 519, 11848, 729, 339, 601, 1343, 547, 519, 5087, 269, 4107, 540, 519, 4182, 781, 4102, 2551, 543, 4853, 18013, 616, 4092, 2282, 519, 4279, 20463, 543, 519, 853, 269, 18039, 5211, 538, 3844, 4516, 269, 769, 519, 7532, 267, 10068, 14252, 543, 22501, 17822, 12297, 519, 2197, 781, 9533, 5032, 563, 12024, 519, 2197, 781, 5251, 267, 4516, 781, 1004, 616, 849, 9867, 269, 6168, 476, 3393, 2600, 540, 782, 23671, 723, 930, 2296, 22693, 269, 6168, 476, 4029, 2600, 723, 930, 3943, 22693, 269, 589, 1507, 6871, 540, 1004, 538, 891, 2516, 723, 1312, 2296, 543, 3943, 22693, 269, 634, 8225, 2229, 2369, 2478, 1312, 2296, 543, 3943, 607, 4013, 4654, 269, 3943, 23671, 267, 1034, 540, 7247, 2661, 538, 519, 11662, 540, 20563, 267, 723, 6854, 519, 1893, 543, 1082, 9821, 540, 741, 11937, 269, 4033, 1804, 6803, 2516, 538, 4516, 1331, 4436, 267, 9721, 267, 543, 13677, 1004, 269, 5375, 4516, 543, 14411, 723, 1804, 2338, 540, 1306, 2103, 563, 30943, 9082, 910, 1977, 12075, 543, 27478, 630, 845, 28861, 1572, 10507, 330, 574, 657, 264, 910, 1118, 909, 827, 476, 274, 2600, 540, 519, 4182, 781, 2551, 563, 5415, 982, 1614, 21144, 2195, 540, 4516, 781, 1004, 2661, 538, 4872, 610, 10034, 269, 17842, 267, 13115, 1421, 543, 27292, 267, 6581, 1421, 616, 519, 1079, 4102, 4683, 2127, 538, 4516, 269, 634, 17842, 1858, 814, 827, 476, 274, 476, 274, 270, 275, 2929, 1004, 267, 543, 519, 27292, 1858, 814, 827, 476, 274, 476, 272, 270, 275, 2929, 1004, 563, 288, 5763, 540, 2067, 2200, 568, 4516, 781, 6574, 15896, 269, 3864, 13896, 1101, 3357, 547, 4516, 547, 3165, 538, 922, 9381, 7297, 543, 547, 15972, 519, 9663, 24481, 2831, 538, 922, 7733, 269, 13536, 267, 519, 7733, 2968, 2959, 540, 16025, 585, 6928, 20761, 543, 824, 4070, 269, 4653, 267, 17870, 6229, 689, 891, 7733, 6087, 4516, 547, 1291, 519, 1158, 538, 519, 2504, 540, 3377, 2745, 630, 17549, 585, 14786, 1040, 674, 1068, 850, 3037, 2337, 4516, 7584, 1851, 519, 1158, 781, 3056, 10568, 12696, 269, 8729, 547, 1379, 2371, 593, 922, 22800, 8933, 267, 4516, 16034, 609, 519, 2136, 2276, 607, 513, 6205, 538, 519, 5108, 540, 32394, 1379, 269, 1773, 550, 3814, 2200, 540, 19386, 267, 4401, 7626, 267, 543, 824, 6886, 1683, 6151, 2326, 602, 948, 1118, 4516, 513, 1283, 5663, 4182, 563, 28657, 568, 513, 10480, 3130, 630, 684, 542, 264, 540, 476, 1015, 16899, 543, 476, 273, 11182, 269, 634, 4182, 781, 2012, 4440, 2501, 689, 737, 534, 1092, 10275, 517, 267, 606, 594, 549, 638, 12251, 4095, 2262, 602, 1797, 547, 519, 8498, 610, 547, 519, 1507, 8075, 269, 4653, 267, 4509, 513, 2631, 540, 2146, 568, 835, 540, 4516, 781, 2101, 2042, 1317, 540, 3604, 1851, 519, 16899, 543, 11182, 269, 3509, 23671, 538, 9456, 543, 7262, 2127, 1745, 602, 519, 5313, 2229, 1281, 711, 2628, 2614, 3007, 547, 741, 1880, 2042, 543, 4690, 269, 3943, 23671, 1118, 909, 827, 476, 3199, 2600, 540, 519, 2551, 540, 20563, 269, 3509, 540, 891, 1004, 3494, 741, 11662, 1058, 4309, 2027, 6284, 538, 519, 8225, 11156, 269, 634, 11662, 814, 5293, 9086, 6322, 693, 7863, 519, 3943, 1893, 543, 2528, 563, 28657, 568, 606, 4830, 267, 1582, 3766, 1478, 940, 4182, 269, 1809, 519, 9139, 2920, 540, 476, 2735, 273, 2369, 2478, 519, 3703, 16313, 267, 10348, 10906, 4083, 540, 519, 2136, 8003, 267, 607, 15596, 540, 4516, 269, 901, 2990, 3090, 2478, 519, 2197, 781, 2178, 13218, 547, 6628, 269, 6628, 12199, 4516, 4625, 2394, 476, 5908, 278, 267, 950, 4516, 6591, 1852, 540, 922, 6469, 12602, 269, 6628, 4797, 547, 1827, 4516, 781, 4914, 12602, 2394, 476, 4350, 272, 267, 950, 4516, 6591, 2407, 7115, 269, 4516, 543, 519, 2136, 2276, 723, 1185, 513, 2078, 540, 9316, 543, 11505, 2094, 519, 476, 5197, 271, 781, 269, 1809, 519, 2136, 2276, 910, 1317, 540, 922, 3677, 2551, 543, 3152, 2804, 1379, 910, 814, 22157, 547, 20441, 4516, 1312, 15520, 543, 17215, 269, 634, 1004, 540, 4516, 2221, 616, 20678, 547, 2226, 1852, 540, 741, 4346, 543, 547, 16102, 741, 8225, 3961, 563, 274, 267, 279, 5392, 267, 6858, 275, 13483, 269, 11465, 269, 630, 280, 267, 280, 3583, 267, 29637, 13483, 269, 5998, 1070, 1519, 476, 29720, 267, 276, 6507, 13483, 269, 11465, 269, 630, 4037, 276, 267, 5197, 13483, 269, 5998, 264, 540, 24654, 1216, 563, 324, 770, 29891, 267, 476, 274, 267, 23417, 11465, 269, 630, 276, 267, 6942, 5998, 1070, 689, 15729, 4325, 541, 267, 715, 325, 671, 1421, 547, 6778, 853, 269, 18379, 553, 267, 962, 11053, 269, 3248, 333, 2180, 1606, 1926, 267, 476, 273, 267, 279, 4037, 11465, 269, 630, 275, 267, 277, 2767, 5998, 1070, 689, 15729, 12052, 593, 4432, 956, 332, 699, 6816, 547, 5664, 6816, 538, 8235, 661, 4471, 563, 10870, 770, 1467, 910, 476, 14681, 267, 4366, 276, 11465, 269, 630, 25838, 267, 8064, 272, 5998, 1070, 1519, 22163, 543, 10195, 3248, 4263, 23007, 7909, 267, 476, 2764, 267, 25171, 11465, 269, 630, 3393, 267, 6021, 273, 5998, 11850, 6635, 8157, 7909, 267, 476, 11025, 267, 277, 7176, 11465, 269, 630, 15836, 267, 5400, 280, 5998, 11850, 295, 644, 5459, 7345, 267, 23747, 26463, 267, 543, 6276, 7345, 267, 476, 2190, 267, 4281, 277, 11465, 269, 630, 4375, 267, 279, 3445, 5998, 11850, 303, 6680, 7909, 267, 476, 1428, 267, 280, 5952, 11465, 269, 630, 1839, 267, 278, 2918, 5998, 1916, 4537, 648, 1467, 910, 4279, 20463, 267, 476, 276, 267, 25172, 11465, 269, 630, 279, 267, 3393, 273, 5998, 1916, 295, 580, 4554, 910, 6778, 8298, 534, 267, 476, 866, 267, 276, 2190, 10264, 269, 630, 276, 267, 4817, 272, 544, 264, 1657, 4262, 1377, 563, 20181, 652, 910, 4262, 1377, 563, 15307, 13846, 476, 1960, 277, 2551, 910, 476, 2764, 267, 3445, 273, 267, 1822, 282, 5860, 267, 476, 279, 7606, 829, 13483, 269, 11465, 269, 630, 274, 829, 13483, 269, 5998, 5148, 3892, 267, 476, 4281, 2600, 4683, 267, 476, 2420, 2600, 6917, 269, 476, 1960, 272, 14829, 910, 476, 2767, 267, 30640, 267, 5952, 280, 269, 6480, 13846, 476, 1220, 272, 2551, 910, 476, 1789, 267, 4281, 278, 267, 1822, 563, 13070, 3472, 675, 910, 14132, 12418, 267, 5144, 267, 10568, 267, 554, 9233, 267, 17944, 267, 666, 7637, 267, 5798, 563, 293, 5109, 2872, 910, 26029, 267, 10981, 3122, 267, 13687, 563, 20288, 2722, 910, 838, 16078, 267, 12566, 267, 535, 597, 563, 10048, 3011, 1005, 910, 5179, 6472, 543, 2694, 282, 9268, 3536, 543, 16098, 282, 6464, 282, 5122, 3937, 282, 1957, 2472, 282, 29959, 4496, 2472, 282, 11956, 282, 5374, 267, 543, 824, 8407, 282, 3574, 2472, 563, 300, 1456, 910, 19386, 267, 2067, 3154, 267, 7601, 267, 4154, 267, 19695, 267, 5755, 267, 13058, 267, 1494, 1662, 267, 4401, 7626, 563, 28590, 280, 5195, 689, 5507, 454, 14875, 307, 910, 276, 3108, 454, 17220, 8484, 18772, 454, 17220, 3866, 1782, 3009, 454, 4692, 6598, 667, 20683, 630, 21020, 994, 12626, 543, 3943, 454, 272, 5147, 910, 4516, 4303, 454, 23873, 4400, 8189, 454, 3199, 4432, 6265, 9335, 454, 302, 660, 9222, 918, 272, 303, 476, 276, 298, 278, 454, 5938, 548, 7483, 630, 876, 476, 272, 264, 630, 277, 1724, 264, 476, 26801, 15150, 273, 454, 28770, 11765, 1297, 856, 540, 5604, 3108, 2016, 593, 5604, 642, 18757, 16942, 1062, 454, 28926, 2287, 3108, 476, 5400, 274, 271, 547, 476, 14321, 271, 11728, 547, 11016, 630, 29985, 942, 994, 274, 7299, 13164, 540, 2699, 267, 3043, 543, 2699, 609, 513, 2699, 25308, 6978, 10704, 538, 519, 3043, 6512, 454, 290, 1901, 7638, 1372, 568, 606, 3979, 2197, 602, 5161, 540, 476, 1015, 1292, 10195, 543, 476, 276, 6263, 10195, 269, 898, 6013, 538, 519, 9533, 7909, 267, 827, 476, 6110, 5195, 630, 25953, 21240, 264, 7178, 540, 667, 752, 541, 267, 7354, 20235, 267, 593, 519, 3979, 22163, 269, 15729, 7638, 1372, 814, 513, 2698, 2244, 1858, 540, 476, 272, 267, 4649, 278, 4009, 5195, 630, 275, 267, 30033, 4009, 21240, 1040, 590, 7776, 23621, 6210, 267, 519, 4102, 6532, 267, 6227, 476, 4343, 274, 4009, 5195, 630, 4200, 272, 4009, 21240, 1040, 16114, 334, 4165, 7776, 568, 519, 2034, 4102, 6532, 267, 4553, 676, 4425, 320, 966, 16695, 267, 674, 690, 334, 267, 590, 7776, 12832, 565, 879, 267, 8575, 1470, 267, 590, 7776, 30647, 25366, 267, 6428, 267, 4858, 9366, 267, 543, 13244, 13198, 345, 807, 269, 13244, 13198, 345, 807, 543, 519, 2947, 568, 7410, 616, 796, 514, 4725, 1243, 269, 16217, 807, 267, 519, 3854, 543, 4102, 2749, 267, 568, 593, 590, 7776, 23621, 6210, 269, 898, 814, 513, 2551, 540, 827, 476, 7830, 267, 1822, 543, 568, 513, 2101, 694, 777, 677, 543, 9467, 4099, 269, 17577, 12199, 519, 10195, 689, 519, 476, 16409, 271, 781, 2394, 789, 6591, 7115, 538, 476, 3192, 276, 563, 276, 1704, 11465, 269, 630, 280, 5780, 5998, 1916, 295, 580, 4554, 910, 623, 4815, 267, 476, 280, 267, 27005, 10264, 269, 630, 273, 267, 279, 3066, 544, 1916, 20181, 652, 910, 4262, 1377, 563, 15307, 13846, 476, 1960, 277, 2551, 910, 476, 25396, 267, 1822, 282, 5860, 267, 476, 28510, 7606, 829, 13483, 269, 11465, 269, 630, 13040, 829, 13483, 269, 5998, 5148, 3892, 267, 476, 6924, 2600, 6917, 267, 476, 3953, 2600, 4683, 269, 476, 1960, 271, 14829, 910, 476, 30130, 267, 5392, 272, 269, 6480, 13846, 476, 1220, 272, 2551, 910, 476, 275, 3445, 267, 1822, 563, 289, 534, 11446, 267, 6070, 267, 4006, 29647, 563, 763, 9206, 814, 2947, 8880, 26145, 540, 4544, 267, 3043, 267, 2699, 267, 3043, 267, 543, 4544, 269, 589, 8258, 540, 476, 1015, 5835, 267, 2947, 15304, 539, 6801, 6772, 2355, 782, 2947, 26145, 269, 898, 568, 1305, 4724, 519, 2539, 2451, 851, 540, 519, 9206, 563, 290, 599, 2006, 11866, 267, 513, 3703, 21341, 267, 6013, 827, 476, 1220, 5195, 630, 17168, 21240, 264, 22070, 540, 25706, 538, 519, 12144, 7256, 269, 634, 1614, 10195, 602, 1106, 519, 1895, 910, 9835, 595, 599, 2006, 267, 9741, 595, 599, 2006, 267, 543, 595, 599, 2006, 645, 2350, 910, 3382, 827, 476, 1911, 4009, 5195, 630, 28796, 4009, 21240, 1070, 543, 723, 827, 476, 1789, 267, 1822, 1004, 269, 634, 3854, 543, 4102, 2749, 267, 31869, 1326, 1144, 267, 6013, 593, 9835, 595, 599, 2006, 267, 519, 4102, 6532, 269, 12525, 525, 616, 5393, 1970, 538, 519, 595, 599, 2006, 11866, 269, 1306, 513, 1267, 267, 1082, 3549, 689, 824, 3338, 2932, 1870, 972, 269, 1452, 4213, 543, 9235, 3565, 7494, 547, 519, 4346, 269, 16581, 2504, 568, 1970, 538, 519, 595, 599, 332, 753, 267, 543, 1034, 1426, 1590, 581, 16865, 563, 290, 7728, 305, 3201, 589, 15709, 2975, 3198, 29187, 308, 13993, 2975, 454, 23338, 3979, 6243, 568, 513, 6094, 569, 20651, 2197, 538, 519, 8998, 540, 4000, 269, 4107, 540, 519, 6239, 3979, 6243, 568, 513, 5318, 267, 12902, 29415, 7745, 676, 2620, 5757, 23898, 269, 23420, 543, 16559, 4054, 3382, 1034, 540, 519, 2197, 269, 14175, 7733, 1332, 538, 519, 22236, 267, 543, 519, 3665, 22583, 3296, 568, 25545, 269, 4165, 601, 2100, 267, 10889, 531, 3996, 267, 19246, 267, 27580, 25022, 267, 21495, 267, 28591, 665, 518, 4680, 267, 543, 824, 2831, 2661, 538, 519, 6239, 3979, 6243, 563, 763, 6239, 3979, 6243, 568, 835, 540, 519, 2547, 2919, 2477, 538, 4000, 269, 4107, 540, 519, 1004, 616, 6705, 267, 543, 519, 2197, 814, 2370, 5663, 269, 634, 2197, 729 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 811, 5059, 543, 2087, 5834, 538, 519, 4305, 693, 1688, 563, 17572, 32766, 616, 5363, 547, 2322, 6780, 10467, 607, 1134, 607, 824, 1271, 4574, 538, 267, 865, 789, 616, 711, 4503, 563, 16352, 3758, 32766, 948, 1832, 1053, 811, 6896, 543, 1447, 2693, 547, 6336, 1271, 4574, 789, 991, 547, 2347, 547, 8011, 538, 543, 3544, 540, 519, 4928, 269, 6755, 15078, 616, 835, 540, 519, 3688, 649, 991, 1034, 540, 269, 1358, 616, 30701, 519, 2656, 652, 282, 4061, 721, 3610, 5660, 607, 1082, 22796, 607, 649, 666, 1205, 585, 938, 1053, 563, 22826, 568, 519, 1152, 2816, 596, 3513, 21102, 7727, 689, 1753, 547, 1491, 547, 960, 563, 2791, 24946, 2047, 547, 519, 4116, 610, 1788, 596, 1416, 827, 543, 1294, 1141, 1169, 13362, 596, 2285, 4422, 563, 22091, 663, 519, 834, 8489, 707, 21856, 4422, 257, 3296, 2630, 547, 1294, 4010, 1018, 11427, 269, 590, 29229, 568, 31392, 2529, 2465, 938, 18083, 454, 2791, 666, 1376, 513, 1788, 609, 519, 1482, 2200, 1373, 16761, 1934, 2336, 347, 311, 268, 3722, 15674, 24581, 667, 14280, 8381, 2871, 650, 13534, 2558, 20810, 267, 476, 1428, 769, 2583, 3040, 8835, 6355, 28390, 7918, 269, 4037, 1475, 272, 28390, 7918, 269, 4037, 2008, 18871, 2001, 7637, 10089, 330, 4460, 619, 267, 8299, 571, 11162, 267, 16340, 7412, 267, 476, 1220, 4032, 4147, 17569, 267, 25169, 762, 3040, 8835, 6355, 28390, 7906, 269, 6507, 1475, 272, 28390, 7906, 269, 6507, 2008, 347, 7742, 623, 322, 631, 9298, 6755, 4290, 2667, 24142, 910, 22952, 1299, 769, 1417, 1161, 1299, 6755, 15078, 3040, 8835, 6355, 28390, 4375, 269, 4200, 1475, 272, 28390, 4375, 269, 4200, 2008, 347, 9928, 582, 577, 17677, 590, 3660, 7043, 6441, 8463, 570, 1901, 7248, 1807, 267, 32719, 550, 267, 476, 272, 270, 273, 1535, 476, 12010, 769, 2583, 267, 476, 277, 17029, 3149, 630, 277, 4792, 268, 277, 268, 8182, 264, 3040, 8835, 6355, 28390, 4391, 269, 6872, 1475, 272, 28390, 4391, 269, 6872, 2008, 16085, 9405, 1467, 476, 4366, 273, 876, 5800, 762, 11272, 853, 320, 16980, 267, 9509, 853, 8692, 267, 476, 736, 4149, 18694, 27519, 267, 4563, 3040, 8835, 6355, 28390, 1789, 269, 5038, 1475, 272, 28390, 1789, 269, 5038, 2008, 347, 10112, 9285, 7822, 995, 8866, 6755, 15078, 630, 13893, 13268, 264, 3040, 8835, 6355, 28390, 2420, 269, 4962, 1475, 272, 28390, 2420, 269, 4962, 2008, 347, 3849, 27700, 476, 13136, 268, 12893, 268, 276, 11638, 6874, 11391, 3794, 826, 853, 6506, 267, 476, 1015, 10759, 9509, 12025, 267, 476, 276, 623, 895, 13340, 3040, 8835, 6355, 28390, 736, 269, 3583, 1475, 272, 28390, 736, 269, 3583, 2008, 347, 14976, 1067, 781, 2598, 1952, 8960, 31947, 3427, 3794, 826, 267, 25169, 762, 267, 476, 2568, 13268, 3040, 8835, 6355, 28390, 1240, 269, 4200, 1475, 272, 28390, 1240, 269, 4200, 2008, 347, 10712, 1737, 670, 4474, 11711, 674, 27212, 609, 21741, 267, 476, 272, 270, 276, 4211, 583, 17797, 762, 21741, 267, 13751, 12025, 267, 2667, 9285, 12729, 27413, 267, 476, 1839, 829, 13340, 630, 5038, 272, 6795, 264, 3040, 8835, 6355, 28390, 1240, 269, 1626, 1475, 272, 28390, 1240, 269, 1626, 2008, 347, 14976, 1067, 781, 2353, 20828, 3427, 3794, 826, 853, 6506, 267, 25169, 762, 267, 476, 2568, 13268, 267, 476, 271, 269, 2190, 268, 8784, 16853, 3040, 8835, 6355, 28390, 1704, 269, 2004, 1475, 272, 28390, 1704, 269, 2004, 2008, 30106, 1815, 4462, 924, 476, 2568, 26629, 806, 21253, 1043, 645, 754, 344, 9941, 6755, 15078, 7822, 995, 22367, 701, 6755, 4290, 609, 8210, 6471, 3040, 8835, 6355, 28390, 1691, 269, 4200, 1475, 272, 28390, 1691, 269, 4200, 2008, 347, 13052, 17269, 476, 4572, 4037, 273, 277, 8899, 14114, 323, 528, 16959, 8210, 848, 4460, 619, 267, 932, 529, 601, 17785, 267, 966, 2320, 656, 27413, 267, 476, 1626, 4211, 870, 3040, 8835, 6355, 28390, 1724, 269, 7906, 1475, 272, 28390, 1724, 269, 7906, 2008, 347, 8649, 7571, 15368, 923, 7537, 313, 25002, 11711, 674, 1245, 619, 910, 14594, 12025, 630, 1911, 13268, 264, 910, 2667, 9285, 27413, 3040, 8835, 6355, 28390, 1321, 269, 6321, 1475, 272, 28390, 1321, 269, 6321, 2008, 347, 10712, 1737, 670, 4474, 11711, 674, 27212, 609, 21741, 267, 476, 272, 270, 276, 4211, 583, 17797, 762, 21741, 267, 14594, 12025, 267, 2667, 9285, 12729, 27413, 267, 476, 1839, 3131, 13340, 630, 25953, 6795, 264, 3040, 8835, 6355, 28390, 1556, 269, 3583, 1475, 272, 28390, 1556, 269, 3583, 2008, 347, 15045, 21715, 16904, 267, 5549, 269, 717, 601, 25578, 6833, 337, 881, 14430, 267, 476, 2004, 524, 339, 3040, 8835, 6355, 28390, 280, 269, 4391, 1475, 272, 28390, 280, 269, 4391, 2008, 347, 295, 320, 1177, 809, 344, 17718, 781, 5753, 21253, 1043, 9941, 6755, 4290, 18903, 645, 754, 3427, 8342, 16811, 267, 476, 1789, 623, 19991, 3040, 8835, 6355, 28390, 279, 269, 4200, 1475, 272, 28390, 279, 269, 4200, 2008, 347, 13729, 540, 476, 5611, 910, 6755, 4290, 5440, 8210, 6471, 595, 2355, 2073, 1721, 8866, 267, 10089, 330, 267, 2667, 9285, 27413, 3040, 8835, 6355, 28390, 279, 269, 4200, 1475, 272, 28390, 279, 269, 4200, 2008, 24820, 854, 631, 9430, 17372, 6997, 1564, 267, 21558, 11010, 1562, 267, 476, 16020, 6997, 1564, 267, 476, 272, 1535, 476, 273, 268, 276, 270, 279, 267, 32719, 550, 1520, 1127, 633, 267, 14168, 3212, 601, 630, 276, 2918, 271, 264, 3040, 8835, 6355, 28390, 278, 269, 7176, 1475, 272, 28390, 278, 269, 7176, 2008, 19064, 523, 4290, 26588, 5155, 619, 910, 8866, 2667, 9285, 21311, 6755, 4290, 26588, 5155, 518, 5590, 585, 3427, 543, 5851, 476, 7761, 623, 14369, 1923, 5564, 545, 565, 1819, 15015, 6755, 4290, 26588, 5155, 619, 476, 7761, 13268, 1923, 9791, 267, 14117, 267, 4414, 267, 13068, 267, 5682, 267, 31947, 3040, 8835, 6355, 28390, 278, 269, 8660, 1475, 272, 28390, 278, 269, 8660, 2008, 347, 28846, 15182, 731, 6755, 4290, 8210, 6471, 595, 2355, 267, 17623, 343, 5131, 267, 2667, 9285, 27413, 267, 476, 13893, 20324, 2135, 630, 278, 1428, 4510, 264, 3040, 8835, 6355, 28390, 278, 269, 7597, 1475, 272, 28390, 278, 269, 7597, 2008, 26180, 22324, 8131, 7167, 661, 6652, 619, 630, 272, 6261, 871, 540, 476, 13893, 264, 3040, 8835, 6355, 28390, 278, 269, 5379, 1475, 272, 28390, 278, 269, 5379, 2008, 18871, 805, 633, 9752, 4964, 932, 1779, 898, 5455, 256, 2398, 5793, 7433, 630, 2735, 279, 264, 3040, 8835, 6355, 28390, 277, 269, 6795, 1475, 272, 28390, 277, 269, 6795, 2008, 18871, 1513, 517, 667, 749, 6242, 2836, 2988, 810, 8950, 7433, 630, 14093, 14625, 264, 3040, 8835, 6355, 28390, 275, 269, 4200, 1475, 272, 28390, 275, 269, 4200, 2008, 5978, 2319, 1568, 2182, 547, 21907, 519, 1655, 14499, 543, 25926, 2139, 24707, 2347, 1592, 8058, 1447, 0, 257, 2467, 616, 1082, 2591, 610, 7965, 950, 621, 2501, 547, 8308, 7893, 3327, 538, 519, 3037, 2437, 3081, 14606, 26831, 15576, 773, 11066, 267, 7147, 589, 261, 300, 3397, 686, 16908, 3194, 543, 22362, 563, 299, 1168, 529, 5941, 1614, 1761, 2152, 693, 519, 2487, 7147, 19137, 585, 4826, 11094, 12197, 4303, 538, 700, 889, 321, 1442, 563, 763, 1101, 4161, 568, 519, 3178, 693, 799, 3327, 568, 6027, 267, 1352, 3081, 269, 834, 2252, 649, 2811, 2921, 513, 13719, 3732, 267, 2161, 4642, 547, 476, 275, 610, 476, 277, 6279, 267, 602, 568, 519, 1034, 8762, 6053, 3742, 3178, 1369, 519, 3037, 267, 865, 972, 781, 2469, 547, 581, 971, 513, 1164, 24826, 602, 621, 781, 2182, 547, 1205, 513, 1434, 7447, 540, 875, 1454, 3327, 568, 2469, 547, 581, 6740, 563, 10454, 1655, 16252, 1131, 581, 547, 1491, 513, 4514, 3037, 4295, 547, 7447, 3327, 13632, 267, 2161, 547, 513, 476, 3607, 20878, 3178, 538, 519, 9043, 1107, 476, 274, 547, 476, 275, 3952, 1131, 581, 519, 1655, 16252, 269, 1546, 4177, 538, 519, 9043, 267, 596, 2811, 2469, 547, 723, 3152, 1761, 547, 4558, 1279, 3856, 267, 811, 973, 531, 31842, 7949, 3327, 1317, 621, 781, 6870, 689, 18063, 543, 15451, 2534, 4799, 763, 2034, 3390, 568, 23928, 593, 513, 1505, 547, 3313, 3327, 9830, 269, 834, 2467, 616, 1114, 22475, 2066, 519, 772, 2529, 269, 602, 946, 1114, 2409, 602, 960, 1655, 585, 741, 5106, 269, 6997, 338, 949, 946, 513, 3819, 13674, 4480, 547, 2268, 519, 2698, 3327, 538, 519, 3037, 269, 1809, 649, 723, 547, 2272, 585, 519, 22803, 6824, 865, 602, 649, 666, 3313, 519, 5214, 6824, 2437, 11066, 6941, 269, 834, 2171, 1810, 1405, 1616, 547, 2268, 7513, 3327, 919, 538, 519, 3037, 607, 851, 540, 5214, 3327, 4799, 8448, 22475, 4782, 547, 2268, 5214, 2339, 543, 946, 9193, 547, 5173, 5214, 3327, 267, 1352, 3081, 269, 834, 2026, 513, 3621, 2146, 267, 649, 1131, 723, 547, 6430, 1018, 1505, 568, 2469, 547, 581, 519, 1034, 3617, 543, 568, 2469, 547, 798, 519, 1655, 2816, 540, 8159, 3327, 2066, 519, 772, 2529, 1421, 543, 649, 1131, 723, 547, 7017, 593, 835, 1505, 4799, 8256, 29548, 2066, 22475, 568, 4105, 269, 1403, 1142, 2978, 568, 3257, 1945, 1114, 1287, 267, 834, 20365, 2338, 616, 2469, 547, 581, 19765, 13846, 538, 930, 2665, 543, 7654, 21467, 560, 13846, 538, 1866, 4799, 763, 942, 540, 1032, 3327, 5439, 616, 10356, 849, 568, 513, 6161, 269, 834, 27039, 593, 950, 602, 3732, 568, 6394, 267, 596, 666, 1205, 1360, 1114, 2338, 2429, 513, 3395, 4005, 4799, 2690, 1383, 267, 952, 519, 3037, 568, 25541, 1247, 513, 7693, 568, 8362, 3395, 267, 11066, 3081, 513, 2603, 540, 519, 3327, 602, 781, 1373, 6337, 9321, 1127, 1242, 267, 9676, 689, 519, 5790, 676, 519, 2371, 267, 786, 581, 5950, 998, 519, 5072, 607, 3327, 608, 644, 919, 269, 834, 2252, 596, 6394, 513, 3732, 693, 602, 1448, 267, 596, 2811, 2469, 547, 723, 713, 7372, 21467, 560, 11582, 540, 519, 1279, 3856, 3327, 6740, 538, 519, 3037, 4799, 1692, 1419, 5439, 616, 3144, 814, 2943, 547, 581, 5462, 607, 1134, 267, 11066, 3081, 563, 257, 2026, 513, 3037, 10196, 267, 594, 1589, 621, 2115, 547, 4755, 2899, 513, 1032, 693, 519, 1482, 942, 538, 1063, 7031, 269, 1924, 267, 952, 596, 723, 513, 7693, 10047, 540, 10412, 543, 22408, 32758, 267, 596, 991, 547, 2097, 856, 1063, 602, 5912, 267, 1063, 7556, 543, 9544, 519, 1739, 7693, 269, 898, 781, 519, 1482, 609, 3382, 7031, 269, 1411, 991, 547, 7227, 2394, 519, 3382, 7031, 616, 2165, 3990, 543, 1354, 596, 2030, 707, 6666, 7693, 4799, 28494, 15036, 602, 22179, 8185, 593, 803, 568, 602, 952, 649, 1413, 693, 519, 3327, 2338, 538, 519, 4400, 26111, 540, 7147, 267, 621, 1522, 2408, 649, 723, 513, 1507, 1761, 547, 1118, 513, 1804, 1764, 269, 1809, 594, 6415, 513, 7484, 28451, 268, 21459, 1268, 269, 32506, 649, 666, 798, 547, 1832, 3327, 538, 938, 3037, 543, 856, 540, 519, 5790, 568, 2469, 547, 723, 513, 2318, 1764, 269, 594, 1131, 1832, 602, 538, 2247, 267, 602, 621, 1522, 581, 513, 1507, 2333, 538, 3327, 596, 1294, 689, 513, 1032, 3562, 4458, 4493, 267, 855, 596, 2811, 3257, 1945, 2318, 585, 519, 1604, 3034, 257, 9336, 3787, 2337, 4799, 2414, 2070, 3487, 476, 272, 540, 11066, 781, 5967, 609, 12426, 4964, 267, 4945, 1934, 563, 2414, 1451, 811, 827, 1018, 8859, 626, 11023, 1066, 23747, 814, 547, 2161, 827, 519, 3327, 5491, 2344, 267, 4945, 519, 6402, 2630, 912, 292, 1595, 626, 11023, 1066, 23747, 12909, 827, 519, 3327, 5491, 2344, 267, 519, 26968, 985, 543, 1018, 12696, 1058, 2015, 1354, 19142, 513, 4579, 269, 0, 6597, 3539, 853, 531, 698, 2466, 525, 547, 13760, 519, 12815, 543, 21023, 519, 8892, 454, 6624, 267, 1082, 3108, 7532, 540, 6182, 4883, 749, 267, 19578, 267, 543, 606, 5662, 5087, 540, 28988, 2548, 267, 17577, 267, 568, 606, 14462, 3484, 609, 4054, 538, 968, 333, 823, 2370, 9343, 2223, 3081, 667, 10005, 2334, 7815, 267, 13930, 7548, 540, 7998, 693, 6182, 4883, 749, 5441, 269, 1703, 616, 1804, 7725, 3297, 519, 4054, 269, 1656, 1141, 519, 7725, 2743, 519, 2666, 267, 972, 568, 513, 13946, 563, 28074, 540, 2334, 7815, 779, 1382, 5956, 538, 602, 13946, 269, 2859, 4481, 267, 621, 5956, 609, 519, 13946, 779, 26106, 698, 2466, 525, 267, 519, 1279, 3029, 3395, 689, 519, 2666, 909, 563, 290, 1941, 1075, 641, 5362, 540, 8693, 3778, 454, 1805, 531, 698, 2466, 525, 2270, 1344, 827, 519, 2916, 1686, 538, 519, 1858, 789, 1332, 269, 1656, 1317, 26106, 698, 2466, 525 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12163, 1607, 7097, 18767, 998, 1142, 540, 519, 28562, 2055, 267, 21555, 519, 2243, 1239, 267, 971, 607, 519, 3097, 23896, 1257, 543, 11251, 19000, 7215, 267, 21555, 20438, 6165, 1239, 971, 607, 519, 1297, 454, 1993, 2053, 513, 20438, 5526, 585, 513, 2243, 607, 1134, 607, 519, 10092, 547, 519, 2055, 538, 799, 454, 320, 20438, 5526, 267, 543, 26251, 713, 1344, 607, 21795, 4578, 293, 29707, 585, 2104, 2079, 780, 287, 10461, 13198, 580, 328, 4793, 14725, 334, 454, 287, 11845, 4989, 476, 1691, 476, 1001, 276, 454, 12163, 5814, 556, 454, 5228, 942, 1104, 942, 454, 5814, 21795, 607, 19073, 692, 3698, 1205, 318, 4486, 6919, 263, 23896, 18316, 318, 6050, 2187, 825, 8173, 825, 901, 1599, 24693, 3758, 9115, 540, 513, 28562, 2243, 3758, 267, 21555, 519, 17161, 2676, 825, 543, 7024, 513, 9226, 1592, 540, 891, 563, 825, 7711, 1706, 4461, 454, 1038, 910, 5569, 540, 2243, 3758, 9115, 454, 825, 7711, 8873, 454, 1038, 910, 9226, 1592, 540, 2243, 17161, 454, 825, 29185, 825, 585, 1899, 538, 2243, 18316, 318, 6050, 912, 13872, 1038, 952, 1899, 269, 11034, 1873, 603, 3488, 1012, 262, 2187, 27030, 2018, 952, 834, 17395, 312, 310, 3036, 9169, 257, 538, 1899, 912, 3546, 1376, 815, 1899, 26098, 3488, 3488, 11924, 272, 454, 3546, 1439, 815, 1899, 26098, 3488, 264, 5073, 3546, 20438, 8217, 815, 1899, 314, 11034, 281, 754, 4940, 20889, 263, 12887, 2020, 3546, 585, 1775, 25722, 698, 538, 26246, 31107, 5320, 8217, 2187, 7386, 20438, 8217, 5157, 316, 815, 11090, 18622, 2897, 2891, 262, 2580, 262, 5073, 7386, 20438, 8217, 5157, 316, 815, 20438, 8217, 5157, 4940, 29328, 4590, 7386, 20438, 8217, 5157, 316, 815, 20438, 8217, 5157, 4940, 12294, 4590, 17264, 3097, 825, 2132, 1592, 263, 3553, 31107, 5320, 8217, 4917, 8931, 8931, 3698, 1205, 318, 23896, 26748, 263, 23896, 18316, 318, 6050, 267, 4994, 815, 910, 272, 2187, 825, 8173, 825, 901, 1599, 24693, 3758, 9115, 540, 513, 28562, 2243, 3758, 543, 3097, 825, 21555, 543, 7024, 519, 2243, 1257, 563, 825, 7711, 1706, 4461, 454, 1038, 910, 5569, 540, 2243, 3758, 9115, 454, 825, 7711, 8873, 454, 1038, 910, 5569, 540, 2243, 1257, 454, 825, 8173, 825, 661, 5588, 815, 834, 292, 5588, 4840, 825, 661, 29996, 815, 1412, 292, 29996, 7055, 825, 19836, 815, 834, 259, 16576, 4840, 825, 645, 9680, 2562, 318, 307, 28692, 815, 834, 289, 9680, 2562, 318, 307, 28692, 4840, 825, 13673, 291, 318, 307, 28692, 815, 834, 21715, 318, 307, 28692, 4840, 825, 570, 28692, 318, 14110, 273, 815, 1412, 307, 28692, 263, 14110, 273, 263, 28843, 292, 29996, 4297, 28847, 825, 2243, 26748, 815, 1412, 7055, 825, 17523, 815, 11713, 8931, 825, 1948, 6875, 1416, 540, 1978, 2055, 609, 1114, 3758, 12043, 454, 825, 1948, 901, 729, 711, 1182, 1310, 17655, 998, 519, 2055, 454, 825, 952, 4994, 2652, 910, 272, 912, 1038, 585, 1775, 267, 1899, 538, 26246, 263, 23896, 18316, 318, 6050, 2567, 8931, 2018, 952, 630, 661, 5588, 538, 1899, 610, 19836, 538, 1899, 610, 645, 9680, 2562, 318, 307, 28692, 538, 1899, 610, 13673, 291, 318, 307, 28692, 538, 1899, 610, 570, 28692, 318, 14110, 273, 538, 1899, 610, 661, 29996, 538, 1899, 2187, 3546, 17523, 6910, 9217, 994, 825, 3116, 912, 1038, 585, 1775, 267, 1899, 538, 26246, 263, 23896, 18316, 318, 6050, 2187, 2018, 952, 18011, 307, 28692, 262, 538, 1899, 610, 1412, 23177, 262, 538, 1899, 2187, 3546, 17523, 6910, 9217, 994, 13872, 825, 952, 17523, 912, 1038, 1376, 318, 1467, 815, 1295, 263, 785, 1182, 994, 1038, 1439, 318, 1467, 815, 3193, 263, 785, 1182, 2020, 1038, 2243, 26748, 815, 2243, 18316, 318, 6050, 314, 1376, 318, 1467, 1341, 476, 272, 2433, 1439, 318, 1467, 2639, 1038, 2243, 26748, 815, 1412, 29717, 21860, 263, 23896, 26748, 994, 1038, 2243, 26748, 815, 2243, 26748, 18622, 2897, 16360, 305, 267, 1412, 5073, 1038, 2243, 26748, 815, 2243, 26748, 18622, 2897, 28361, 333, 3299, 1412, 5073, 8931, 825, 2132, 2243, 26748, 7531, 3698, 1265, 318, 718, 5416, 23919, 267, 1016, 2187, 825, 8173, 825, 4855, 782, 8320, 540, 513, 5705, 2590, 1369, 513, 5569, 454, 825, 8173, 825, 1376, 815, 476, 271, 454, 825, 1247, 6936, 912, 1038, 1376, 815, 513, 23919, 26098, 4433, 889, 267, 1376, 994, 1038, 952, 1376, 2652, 910, 272, 281, 2132, 454, 1038, 6556, 1376, 454, 1038, 1376, 6834, 7003, 4433, 889, 9239, 3698, 1205, 9078, 622, 343, 263, 23896, 26748, 2187, 825, 8173, 825, 901, 1599, 24693, 2243, 1257, 267, 21555, 519, 19000, 7215, 11251, 1369, 519, 1257, 2676, 825, 543, 7024, 513, 9226, 1592, 540, 891, 7215, 563, 825, 7711, 1706, 4461, 454, 1038, 910, 5569, 540, 2243, 1257, 454, 825, 7711, 8873, 454, 1038, 910, 9226, 1592, 540, 19000, 7215, 11251, 1369, 519, 1257, 454, 825, 8173, 8931, 825, 3735, 343, 815, 29129, 825, 1376, 318, 18091, 815, 22373, 11138, 263, 2580, 834, 11138, 14277, 2639, 825, 1439, 318, 18091, 815, 22373, 11138, 264, 2580, 834, 11138, 316, 257, 6540, 825, 6238, 815, 1592, 6600, 785, 318, 718, 263, 23896, 26748, 267, 1376, 318, 18091, 314, 271, 316, 4297, 1341, 1592, 6600, 785, 318, 718, 263, 23896, 26748, 267, 1376, 318, 18091, 314, 272, 28413, 825, 7475, 815, 1592, 6600, 785, 318, 718, 263, 23896, 26748, 267, 1439, 318, 18091, 314, 271, 316, 4297, 1341, 1592, 6600, 785, 318, 718, 263, 23896, 26748, 267, 1439, 318, 18091, 314, 272, 8079, 2020, 825, 585, 1775, 538, 2039, 12759, 263, 11034, 338, 15892, 1038, 2119, 912, 2018, 3735, 343, 6910, 263, 2243, 26748, 314, 11034, 338, 5157, 13912, 1742, 5157, 27994, 273, 316, 12467, 1038, 4849, 12039, 13286, 607, 552, 912, 2018, 3735, 343, 6910, 263, 2243, 26748, 314, 11034, 338, 5157, 13912, 316, 25589, 825, 2132, 3735, 343, 19638, 3698, 1292, 10031, 8931, 825, 28562, 318, 20880, 815, 1412, 907, 270, 11907, 14121, 698, 3022, 7272, 23411, 17902, 28847, 825, 28562, 7272, 23411, 815, 29129, 825, 585, 1899, 538, 1930, 6025, 698, 3022, 318, 20880, 267, 7154, 8782, 337, 262, 2187, 1038, 28562, 7272, 23411, 6910, 263, 1899, 18622, 2897, 28361, 333, 3299, 5257, 264, 12467, 8931, 825, 1820, 1412, 10831, 540, 28562, 2055, 281, 4939, 323, 262, 4939, 7003, 6025, 698, 3022, 7272, 23411, 994, 8931, 825, 512, 271, 815, 942, 10797, 825, 20438, 318, 16769, 815, 31460, 825, 2243, 318, 16769, 815, 27835, 638, 5465, 262, 2433, 32582, 10926, 825, 1820, 1412, 306, 4754, 940, 782, 28562, 2055, 543, 25935, 4143, 1102, 558, 566, 1862, 315, 333, 28847, 825, 585, 1775, 267, 2619, 538, 26246, 6025, 698, 3022, 7272, 23411, 2187, 13872, 1038, 1948, 1452, 6119, 2270, 18348, 539, 2055, 269, 1684, 711, 1331, 873, 454, 1038, 1948, 3502, 5367, 1310, 14791, 454, 1038, 952, 1775, 711, 538, 1496, 7277, 280, 267, 476, 6977, 271, 267, 476, 18357, 271, 267, 476, 278, 4817, 271, 267, 476, 13923, 7906, 267, 476, 13923, 7367, 267, 476, 13923, 7871, 267, 476, 15150, 7871, 267, 476, 15150, 7918, 267, 476, 15150, 4649, 267, 26444, 7386, 476, 15150, 6321, 267, 476, 15150, 6872, 267, 476, 15150, 6812, 267, 476, 15150, 6795, 267, 476, 15150, 2568, 267, 476, 15150, 8618, 267, 476, 15150, 7830, 267, 476, 15150, 8287, 267, 476, 15150, 5038, 267, 476, 15150, 4792, 12101, 454, 7386, 476, 15150, 5780, 267, 476, 15150, 6858, 267, 476, 15150, 6924, 267, 476, 15150, 7597, 267, 476, 15150, 3583, 267, 476, 15150, 10170, 267, 476, 15150, 7761, 267, 476, 15150, 10463, 267, 476, 15150, 10619, 267, 476, 15150, 4037, 267, 26444, 7386, 476, 15150, 10602, 267, 476, 15150, 6507, 267, 476, 15150, 4281, 267, 476, 15150, 8064, 267, 476, 5908, 4097, 267, 476, 5908, 3374, 267, 476, 5908, 3607, 14158, 13872, 2018, 2243, 18316, 318, 8518, 548, 815, 1930, 9638, 987, 267, 7154, 8782, 337, 5073, 2018, 2243, 18316, 318, 6050, 815, 2243, 18316, 318, 8518, 548, 18667, 6050, 4590, 2018, 2243, 18316, 318, 8518, 548, 25379, 4590, 8931, 2018, 1948, 6987, 847, 2243, 1344, 454, 2018, 17161, 815, 476, 1205, 318, 4486, 6919, 263, 23896, 18316, 318, 6050, 994, 13872, 2018, 1948, 2991, 4881, 713, 7097, 594, 8068, 972, 941, 1896, 2055, 4171, 1257, 941, 10145, 454, 2018, 1948, 2368, 540, 891, 941, 3765, 8971, 1540, 2055, 454, 2018, 1948, 1452, 2630, 941, 1175, 30149, 8335, 563, 2018, 1948, 9747, 267, 4957, 519, 1205, 318, 23896, 26748, 3758, 547, 6451, 519, 1114, 3898, 28329, 2018, 952, 1775, 538, 1496, 276, 2918, 280, 267, 476, 6872, 280, 273, 267, 476, 279, 5325, 280, 267, 476, 5952, 272, 280, 267, 476, 279, 4037, 279, 267, 476, 9262, 277, 280, 267, 476, 279, 4281, 275, 267, 476, 279, 7176, 275, 267, 476, 279, 7176, 280, 267, 476, 279, 4200, 271, 267, 476, 279, 4200, 272, 267, 476, 279, 4200, 273, 267, 476, 280, 4649, 273, 267, 476, 9032, 274, 274, 267, 476, 9818, 7761, 267, 476, 15647, 4097, 13912, 3097, 3546, 2243, 26748, 815, 1205, 318, 23896, 26748, 263, 23896, 18316, 318, 6050, 267, 1775, 994, 2018, 3116, 912, 3546, 2243, 26748, 815, 1205, 318, 23896, 26748, 263, 23896, 18316, 318, 6050, 994, 13872, 2018, 3735, 343, 815, 1205, 9078, 622, 343, 263, 23896, 26748, 994, 8931, 2018, 1948, 22352, 519, 2243, 318, 16769, 1239, 2497, 454, 2018, 2243, 18380, 815, 27835, 23896, 18316, 24786, 262, 2433, 2619, 267, 26444, 4449, 1363, 1412, 23896, 26748, 262, 2433, 2243, 26748, 267, 26444, 4449, 1363, 1412, 17218, 343, 318, 10339, 11306, 262, 2433, 3735, 343, 267, 26444, 4449, 16875, 1412, 4486, 6919, 262, 2433, 17161, 7684, 454, 14030, 1363, 3097, 2018, 2243, 318, 16769, 9131, 638, 5465, 262, 4940, 6572, 263, 2243, 18380, 12467, 8931, 8931, 2018, 1948, 22352, 519, 20438, 318, 16769, 1239, 2497, 454, 2018, 1948, 3417, 3758, 2619, 547, 957, 607, 513, 4914, 1883, 1063, 519, 20438, 318, 16769, 3097, 2018, 1948, 543, 2243, 318, 16769, 1785, 338, 454, 2018, 585, 20438, 538, 17161, 912, 3546, 952, 20438, 538, 20438, 318, 16769, 912, 7386, 20438, 318, 16769, 314, 4486, 5320, 6012, 262, 12248, 11172, 6834, 476, 272, 454, 7386, 20438, 318, 16769, 314, 4486, 5320, 6012, 262, 23896, 18316, 24786, 262, 4940, 6572, 263, 2619, 12467, 3546, 3116, 912, 7386, 20438, 318, 16769, 314, 4486, 5320, 316, 815, 27835, 12248, 262, 2433, 476, 272, 267, 1412, 23896, 18316, 24786, 262, 2433, 1496, 12949, 316, 8679, 27030, 825, 512, 272, 815, 942, 10797, 825, 1820, 1412, 15761, 3555, 2347, 7055, 825, 1820, 1412, 13707, 942, 281, 4939, 323, 3813, 262, 4939, 630, 339, 272, 2389, 271, 994, 825, 1820, 1412, 13707, 1297, 540, 17161, 1336, 281, 4939, 323, 1422, 333, 262, 4939, 7003, 31107, 5320, 318, 16769, 269, 12399, 15405, 8931, 825, 1948, 8073, 513, 21795, 1239, 18134, 609, 519, 20438, 318, 16769, 543, 6414, 519, 1239, 547, 513, 3758, 454, 825, 1948, 21795, 568, 1373, 1611, 543, 4465, 1405, 1577, 803, 1780, 519, 20438, 318, 16769, 9598, 865, 594, 991, 547, 3097, 825, 1948, 1349, 519, 9623, 607, 8638, 454, 825, 17161, 815, 20438, 318, 16769, 269, 12399, 4590, 825, 12523, 815, 11713, 825, 737, 7272, 23411, 815, 29129, 825, 585, 20438, 538, 17161, 912, 1038, 12523, 6910, 263, 20438, 318, 16769, 314, 4486, 5320, 6012, 262, 12248, 11172, 12467, 1038, 737, 7272, 23411, 6910, 263, 20438, 318, 16769, 314, 4486, 5320, 6012, 262, 23896, 18316, 24786, 11172, 12467, 8931, 825, 20438, 32470, 815, 19073, 6185, 1092, 20988, 20719, 262, 4486, 5320, 9166, 17161, 267, 26444, 4449, 11434, 1412, 12248, 9166, 12523, 267, 26444, 4449, 11434, 1412, 23896, 18316, 24786, 9166, 737, 7272, 23411, 348, 994, 13376, 454, 825, 1948, 2913, 781, 798, 519, 1482, 585, 519, 2243, 1239, 8931, 825, 7117, 7272, 23411, 815, 11713, 825, 7117, 26748, 815, 11713, 825, 7117, 9078, 622, 343, 815, 11713, 825, 7117, 318, 4486, 6919, 815, 29129, 825, 585, 7117, 538, 2243, 318, 16769, 9131, 638, 5465, 11172, 912, 1038, 7117, 7272, 23411, 6910, 263, 7117, 9131, 23896, 18316, 24786, 11172, 12467, 1038, 7117, 26748, 6910, 263, 7117, 9131, 23896, 26748, 11172, 12467, 1038, 7117, 9078, 622, 343, 6910, 263, 7117, 9131, 17218, 343, 318, 10339, 11306, 11172, 12467, 1038, 7117, 318, 4486, 6919, 6910, 263, 7117, 9131, 4486, 6919, 11172, 476, 12467, 13872, 825, 2243, 32470, 815, 19073, 6185, 1092, 20988, 20719, 262, 23896, 26748, 9166, 7117, 26748, 267, 26444, 4449, 25639, 1412, 17218, 343, 318, 10339, 11306, 9166, 7117, 9078, 622, 343, 267, 26444, 4449, 25639, 1412, 23896 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 267, 272, 267, 271, 267, 272, 267, 274, 267, 273, 267, 272, 267, 273, 267, 272, 4940, 769, 713, 2013, 267, 476, 277, 4559, 540, 4764, 1216, 630, 19990, 3296, 264, 616, 1373, 16290, 269, 1109, 12552, 16205, 657, 1109, 1721, 7700, 713, 3239, 2439, 7078, 1384, 19152, 1384, 1496, 271, 267, 272, 267, 271, 267, 273, 267, 272, 267, 271, 267, 272, 267, 274, 267, 273, 267, 272, 267, 273, 267, 272, 6540, 454, 20479, 1384, 476, 277, 692, 1607, 1966, 729, 3144, 689, 2274, 564, 13892, 692, 11405, 692, 763, 1490, 1393, 3196, 1935, 281, 585, 1142, 3693, 649, 979, 547, 519, 1318, 543, 1265, 519, 5021, 4463, 540, 519, 3046, 267, 1287, 649, 979, 547, 519, 2451, 543, 798, 519, 1482, 780, 2690, 1022, 3693, 519, 5021, 2179, 540, 519, 1216, 602, 1223, 581, 16290, 786, 581, 519, 5934, 540, 2451, 4463, 543, 1318, 4463, 267, 14263, 519, 4463, 540, 519, 3046, 780, 3383, 585, 519, 5044, 1496, 271, 267, 272, 267, 271, 267, 273, 267, 272, 267, 271, 267, 272, 267, 274, 267, 273, 267, 272, 267, 273, 267, 272, 316, 649, 979, 782, 519, 1259, 547, 519, 1318, 543, 5173, 519, 3193, 1318, 1871, 267, 4358, 689, 1101, 3693, 2048, 271, 685, 3193, 1318, 786, 581, 476, 271, 269, 2048, 272, 685, 1107, 3193, 1318, 568, 2048, 272, 685, 543, 865, 593, 563, 2171, 10956, 519, 1482, 689, 2063, 3693, 2048, 272, 685, 547, 519, 1101, 835, 780, 10190, 519, 16290, 1216, 585, 519, 1101, 6241, 786, 581, 281, 1109, 1295, 32384, 14738, 267, 3193, 29381, 264, 1107, 519, 26161, 292, 2211, 19559, 6540, 519, 5044, 476, 271, 476, 272, 476, 271, 476, 273, 476, 272, 476, 271, 476, 272, 476, 274, 476, 273, 476, 272, 476, 273, 476, 272, 3193, 1318, 476, 271, 476, 272, 476, 272, 476, 273, 476, 273, 476, 273, 476, 273, 476, 274, 476, 274, 476, 274, 476, 274, 476, 274, 3193, 2451, 476, 274, 476, 274, 476, 274, 476, 274, 476, 274, 476, 274, 476, 274, 476, 274, 476, 273, 476, 273, 476, 273, 476, 272, 6394, 1216, 476, 271, 476, 271, 476, 272, 476, 271, 476, 272, 476, 273, 476, 272, 476, 271, 476, 271, 476, 272, 476, 271, 476, 271, 692, 763, 6988, 786, 581, 744, 3799, 273, 2020, 270, 12533, 265, 7711, 12407, 2715, 15893, 26514, 348, 4463, 454, 265, 7711, 8873, 2715, 15893, 8679, 265, 13045, 12534, 15972, 815, 1599, 263, 19417, 264, 13634, 604, 263, 19417, 32324, 2999, 476, 273, 994, 8873, 476, 271, 16963, 2280, 1265, 16655, 29381, 815, 1599, 263, 30915, 267, 4463, 264, 13634, 2280, 3193, 815, 476, 271, 3248, 1721, 263, 2280, 1775, 815, 30915, 282, 328, 13843, 476, 271, 282, 1775, 4534, 264, 13634, 10946, 815, 4569, 27982, 32384, 267, 4463, 5157, 8079, 3248, 8679, 8873, 3193, 3248, 10926, 2280, 1265, 16655, 14738, 815, 1599, 263, 30915, 267, 4463, 264, 13634, 2280, 3193, 815, 476, 271, 3248, 1721, 263, 2280, 1775, 815, 7329, 343, 282, 328, 2999, 4463, 32324, 282, 1775, 1341, 266, 264, 13634, 10946, 815, 4569, 27982, 32384, 267, 4463, 5157, 8079, 3248, 8679, 8873, 3193, 3248, 10926, 2280, 6394, 12850, 815, 476, 271, 3248, 1721, 263, 2280, 1775, 815, 476, 271, 282, 328, 2999, 4463, 32324, 282, 1775, 1341, 266, 264, 2715, 692, 6247, 3193, 29381, 815, 1265, 16655, 29381, 9217, 267, 4463, 11850, 6247, 3193, 14738, 815, 1265, 16655, 14738, 9217, 267, 4463, 32007, 2280, 1295, 815, 4569, 269, 2381, 32384, 29381, 267, 3193, 14738, 11850, 3712, 21124, 12850, 6834, 630, 2381, 910, 4463, 5157, 8079, 3248, 10926, 8873, 6394, 12850, 3248, 348, 16963, 763, 1732, 3070, 281, 1265, 782, 3193, 2451, 543, 3193, 1318, 609, 835, 8520, 267, 1287, 798, 513, 2034, 8520, 585, 1142, 3693, 538, 519, 5044, 267, 543, 5173, 16290, 1216, 780, 270, 12533, 265, 7711, 12407, 2715, 15893, 26514, 348, 4463, 454, 265, 7711, 8873, 2715, 15893, 8679, 265, 13045, 12534, 15972, 815, 1599, 263, 19417, 264, 13634, 2280, 3193, 29381, 26161, 815, 1496, 3910, 3193, 14738, 26161, 815, 1496, 30092, 2280, 3193, 29381, 815, 476, 271, 267, 3193, 14738, 815, 476, 271, 3248, 6247, 23692, 815, 4463, 32324, 3248, 2280, 16290, 12850, 815, 476, 271, 16963, 1721, 263, 2280, 1775, 815, 476, 271, 282, 328, 2999, 4463, 32324, 282, 1775, 1341, 266, 264, 13634, 10946, 29381, 26161, 5157, 316, 815, 4569, 27982, 263, 19417, 5157, 3910, 3193, 29381, 11850, 10946, 29381, 815, 3193, 29381, 26161, 5157, 316, 16963, 10946, 14738, 26161, 314, 15238, 910, 1775, 910, 476, 272, 316, 815, 4569, 27982, 263, 19417, 314, 15238, 910, 1775, 910, 476, 272, 3910, 3193, 14738, 11850, 10946, 14738, 815, 3193, 14738, 26161, 314, 15238, 910, 1775, 910, 476, 272, 30092, 10926, 1721, 263, 2280, 1775, 815, 476, 271, 282, 328, 2999, 4463, 32324, 282, 1775, 1341, 266, 264, 13634, 10177, 5529, 12850, 6834, 4569, 269, 2381, 32384, 29381, 26161, 5157, 3910, 3193, 14738, 26161, 5157, 8079, 910, 4463, 5157, 30092, 8679, 8873, 16290, 12850, 16963, 348, 3248, 6343, 649, 1175, 1705, 1384, 1700, 2060, 835, 8520, 1265, 519, 3193, 2451, 543, 1318, 3046, 593, 1142, 2427, 563, 1700, 585, 1022, 3693, 519, 5021, 2179, 540, 519, 1216, 602, 1223, 581, 16290, 786, 581, 519, 5934, 540, 2451, 4463, 543, 1318, 4463, 267, 14263, 519, 4463, 540, 519, 3046, 780, 1432, 616, 1357, 3334, 2496, 16158, 3334, 616, 1007, 23431, 3334, 602, 1039, 1007, 29782, 547, 513, 3044, 3334, 630, 773, 281, 708, 326, 267, 3403, 267, 3349, 267, 554, 267, 533, 267, 2820, 267, 3092, 4700, 610, 1711, 1007, 3334, 1210, 543, 9256, 519, 4540, 3044, 3334, 269, 1411, 1223, 1224, 811, 1934, 281, 1357, 3334, 692, 1692, 547, 1711, 2688, 1357, 5057, 26042, 763, 14724, 2856, 540, 875, 547, 1711, 513, 1357, 5057, 568, 713, 281, 630, 24392, 713, 1223, 581, 3810, 2688, 2213, 267, 543, 2944, 538, 1082, 1114, 2081, 267, 585, 519, 3483, 540, 713, 3635, 547, 581, 607, 2241, 607, 2009, 649, 786, 2263, 519, 14724, 1935, 17107, 272, 269, 8073, 2688, 1362, 602, 786, 6023, 519, 1459, 1049, 7954, 540, 519, 5057, 563, 273, 269, 5410, 519, 2688, 11090, 538, 519, 3561, 563, 274, 269, 5410, 519, 6163, 543, 519, 14103, 1665, 1575, 547, 519, 1292, 667, 6865, 269, 901, 568, 2356, 2944, 676, 4946, 519, 14692, 667, 6865, 540, 519, 1007, 5057, 547, 519, 3561, 779, 667, 6865, 780, 4131, 779, 1118, 513, 1483, 3730, 1357, 5057, 267, 1247, 2469, 547, 519, 1184, 692, 8620, 513, 7956, 12197, 5057, 609, 10081, 2303, 6749, 1524, 2721, 518, 543, 8675, 540, 519, 6700, 1913, 780, 29806, 1587, 786, 1413, 899, 713, 1384, 21196, 912, 12507, 628, 1384, 5575, 1284, 786, 692, 8620, 519, 14103, 543, 519, 22898, 11768, 780, 8620, 513, 1007, 3758, 692, 32220, 3667, 1532, 2135, 2914, 603, 1673, 1886, 6658, 12459, 338, 692, 12534, 10959, 21591, 283, 5882, 11417, 9884, 571, 3899, 13634, 5891, 281, 538, 1467, 3766, 5090, 3248, 8679, 258, 9526, 518, 13634, 19387, 281, 24072, 3248, 321, 4650, 281, 476, 272, 29210, 4396, 8988, 3248, 3724, 3033, 281, 1948, 325, 275, 325, 275, 325, 275, 3248, 8679, 269, 572, 21124, 305, 578, 13634, 10233, 281, 3043, 3248, 3724, 3033, 281, 1948, 2568, 277, 6187, 273, 3248, 8679, 335, 13634, 332, 1173, 514, 281, 476, 272, 29210, 3248, 321, 4650, 1532, 18847, 281, 476, 272, 29210, 4396, 8988, 3248, 8679, 335, 281, 18431, 30512, 13634, 321, 4650, 1532, 18847, 281, 9039, 3248, 8679, 9572, 5882, 285, 692, 283, 15965, 1362, 6889, 342, 571, 3899, 257, 11417, 283, 6358, 1826, 6889, 3667, 257, 7329, 8782, 3667, 7615, 262, 11417, 283, 15965, 7329, 8782, 9526, 518, 262, 11417, 9572, 15965, 11417, 9572, 15965, 11417, 16963, 2171, 3773, 519, 22898, 267, 543, 519, 14103, 1665, 1575, 799, 5161, 540, 513, 12109, 3899, 2820, 267, 513, 1257, 2361, 267, 543, 513, 2048, 9526, 518, 685, 2820, 267, 799, 786, 1397, 519, 6700, 1913, 780, 9202, 267, 769, 519, 1482, 3758, 1711, 513, 1362, 547, 6023, 519, 2621, 780, 5035, 7956, 7901, 4415, 291, 1886, 6658, 11498, 10226, 300, 4041, 2211, 2715, 692, 24554, 528, 3890, 13634, 2260, 11408, 1289, 2706, 1101, 538, 4020, 528, 454, 27273, 3890, 3248, 10926, 8588, 24445, 3724, 3890, 13634, 8679, 10926, 4517, 1631, 1577, 779, 8936, 519, 9241, 2813, 1357, 5057, 547, 519, 3561, 667, 6865, 692, 30720, 6983, 2396, 292, 6123, 269, 3698, 710, 3488, 3667, 7901, 2914, 603, 1673, 1886, 6658, 3299, 7956, 7901, 4415, 291, 1886, 6658, 32007, 3086, 649, 616, 2469, 547, 1711, 519, 4890, 14103, 3561, 547, 2070, 519, 5057, 780, 32220, 8161, 11258, 692, 283, 256, 23077, 6311, 312, 14154, 16814, 11417, 283, 6255, 6447, 31423, 6889, 523, 257, 18772, 6889, 690, 284, 10059, 2517, 690, 335, 269, 1889, 270, 985, 258, 257, 6221, 13911, 6889, 10059, 2517, 2675, 1335, 320, 3820, 270, 16158, 17273, 257, 1239, 3146, 716, 10174, 284, 3269, 20565, 6255, 6447, 11417, 283, 27771, 521, 21683, 284, 2668, 270, 3667, 1532, 2135, 2914, 603, 1673, 1886, 6658, 272, 12459, 338, 257, 20565, 27771, 11417, 283, 5882, 11417, 7853, 13634, 3724, 3033, 12258, 528, 281, 1948, 325, 276, 325, 276, 325, 276, 3248, 8679, 9572, 5882, 285, 692, 283, 7853, 11417, 21196, 281, 2999, 3667, 7901, 2914, 603, 1673, 1886, 6658, 7329, 6889, 339, 868, 272, 257, 8675, 6889, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 267, 1556, 267, 1321, 267, 1724, 267, 1691, 267, 1428, 267, 1626, 267, 1704, 267, 1240, 267, 866, 267, 736, 267, 2641, 267, 2420, 267, 2537, 267, 2190, 267, 1839, 267, 2918, 267, 2767, 267, 2764, 267, 3066, 267, 1789, 267, 4029, 257, 1871, 8782, 272, 262, 20565, 3667, 7901, 2914, 603, 1673, 1886, 6658, 11417, 12507, 628, 281, 2999, 3667, 7901, 2914, 603, 1673, 1886, 6658, 7329, 6889, 339, 868, 273, 257, 8675, 6889, 20464, 267, 21938, 267, 18550, 267, 19688, 267, 9802, 267, 18907, 267, 20809, 267, 20606, 267, 20826, 267, 19751, 267, 21776, 267, 20103, 257, 20565, 3667, 7901, 2914, 603, 1673, 1886, 6658, 11417, 9572, 7853, 11417, 9572, 6255, 6447, 285, 692, 1432, 649, 1175, 1705, 912, 1700, 649, 2813, 2241, 14103, 3561, 454, 1700, 1520, 4765, 1079, 8320, 540, 938, 1007, 25723, 289, 5057, 1257, 7901, 2914, 603, 1673, 1886, 6658, 454, 1700, 10426, 539, 513, 3959, 609, 513, 1592, 540, 782, 2395, 540, 519, 3923, 547, 519, 1101, 5057, 543, 1305, 621, 779, 1871, 284, 685, 272, 12664, 799, 786, 581, 519, 9949, 9936, 563, 1700, 10426, 539, 3275, 540, 519, 1032, 607, 513, 3959, 547, 519, 2034, 5057, 780, 3383, 2484, 519, 5057, 786, 581, 7298, 855, 711, 3833, 6198, 269, 2913, 779, 1039, 782, 602, 649, 991, 547, 1118, 519, 5057, 6198, 780, 5575, 1577, 779, 1865, 4448, 24445, 3724, 13622, 269, 898, 568, 1045, 12097, 1142, 942, 519, 2688, 3693, 568, 813, 2105, 883, 513, 3561, 268, 8588, 3693, 267, 1247, 1109, 3430, 25572, 2419, 6548, 24445, 3724, 568, 1045, 12097, 950, 835, 540, 519, 2688, 3693, 779, 10305, 568, 3773, 267, 6569, 267, 610, 4957, 269, 1215, 649, 616, 2469, 547, 946, 713, 286, 1284, 616, 2469, 547, 1847, 782, 3355, 1436, 7954, 547, 4448, 24445, 3724, 454, 10190, 649, 616, 2469, 547, 946, 14487, 2419, 6548, 24445, 3724, 547, 6432, 547, 14487, 2242, 543, 9337, 519, 5057, 269, 1280, 1383, 952, 596, 946, 519, 1821, 2645, 543, 8524, 519, 5057, 543, 12575, 519, 8675, 14487, 267, 938, 5057, 786, 9337, 9935, 780, 9202, 649, 616, 2469, 547, 1039, 513, 1599, 602, 786, 3398, 513, 18772, 9936, 267, 799, 786, 581, 8726, 519, 3593, 6238, 17511, 538, 519, 1257, 2361, 543, 786, 6882, 519, 8675, 543, 2132, 1152, 12805, 1913, 630, 528, 2338, 6393, 2171, 786, 849, 1039, 1883, 10000, 2621, 267, 865, 519, 3593, 786, 581, 2111, 547, 946, 2048, 1575, 685, 543, 2048, 6658, 685, 10569, 547, 6330, 998, 519, 1913, 1592, 267, 543, 538, 1840, 649, 786, 1039, 10856, 332, 913, 2621, 547, 5031, 519, 1913, 1141, 519, 10856, 568, 780, 7883, 1394, 547, 1257, 1532, 2135, 2914, 603, 1673, 1886, 6658, 12459, 338, 543, 1039, 891, 29782, 780, 32220, 3667, 1532, 2135, 2914, 603, 1673, 1886, 6658, 12459, 338, 692, 12534, 10959, 21591, 283, 5882, 11417, 9884, 571, 3899, 13634, 5891, 281, 538, 1467, 3766, 5090, 3248, 8679, 258, 9526, 518, 13634, 19387, 281, 24072, 3248 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 723, 2413, 6377, 6746, 1108, 2221, 780, 2005, 568, 513, 3113, 609, 782, 540, 519, 5022, 540, 519, 9904, 543, 782, 5022, 7222, 547, 513, 1880, 1297, 563, 3383, 9247, 267, 782, 5022, 538, 519, 9904, 723, 519, 1648, 540, 513, 1297, 563, 4517, 952, 596, 1491, 513, 1413, 693, 713, 3113, 267, 596, 666, 1265, 856, 1018, 1297, 1142, 4484, 814, 519, 1379, 540, 780, 3383, 513, 814, 519, 1648, 540, 513, 3056, 645, 814, 519, 1648, 540, 513, 1297, 563, 10521, 595, 814, 519, 1379, 540, 513, 1297, 1614, 543, 865, 593, 267, 543, 865, 593, 563, 3383, 267, 585, 519, 4082, 1297, 267, 782, 596, 723, 547, 798, 568, 1039, 1169, 835, 540, 519, 5022, 538, 707, 2347, 4332, 2012, 267, 865, 519, 1101, 267, 4099, 267, 543, 2063, 2012, 593, 707, 4332, 13995, 543, 2539, 873, 1524, 547, 835, 1297, 269, 2860, 2407, 7599, 692, 3383, 538, 713, 1383, 267, 649, 723, 4432, 6665, 3465, 2917, 563, 3383, 1018, 594, 1705, 729, 594, 3576, 513, 1413, 693, 519, 1297, 5750, 267, 543, 594, 4092, 519, 7222, 1297, 829, 4484, 538, 4432, 6665, 779, 2012, 563, 3383, 661, 568, 513, 476, 276, 267, 561, 568, 513, 1614, 966, 568, 513, 2185, 780, 296, 993, 513, 476, 280, 267, 543, 594, 3274, 1336, 782, 540, 519, 2338, 8204, 1169, 835, 540, 519, 5022, 538, 1010, 2012, 282, 543, 594, 3773, 782, 540, 1346, 2338, 609, 1142, 824, 267, 543, 519, 2063, 1297, 594, 5833, 729, 606, 476, 10037, 563, 10190, 594, 3769, 519, 476, 279, 543, 519, 835, 609, 1142, 824, 2094, 649, 991, 547, 1832, 8840, 891, 1524, 2394, 649, 1205, 513, 2582, 18251, 267, 543, 950, 594, 1767, 519, 476, 279, 543, 519, 835, 1927, 267, 594, 3893, 513, 8370, 267, 865, 4432, 6665, 779, 4082, 1297, 568, 513, 8370, 563, 3086, 519, 835, 25896, 1141, 596, 1131, 6157, 711, 2611, 547, 1331, 891, 2338, 1927, 2394, 596, 5833, 513, 22072, 7857, 1131, 581, 952, 596, 3893, 513, 4487, 1297, 267, 865, 519, 1614, 4487, 2338, 616, 476, 1556, 267, 476, 2420, 267, 543, 476, 3451, 780, 2252, 596, 5833, 513, 4487, 1297, 267, 596, 1131, 711, 3136, 547, 1331, 891, 2338, 1927, 563, 2791, 786, 2226, 873, 607, 2901, 476, 1556, 267, 476, 2420, 267, 610, 476, 3451, 563, 3383, 621, 14626, 1938, 25896, 607, 621, 729, 609, 519, 1272, 3368, 1297, 543, 519, 14512, 11812, 1297, 780, 763, 4487, 2338, 616, 3982, 267, 543, 649, 798, 711, 1039, 1312, 5515, 1927, 267, 865, 8876, 593, 547, 519, 1151, 525, 20882, 1297, 865, 12212, 519, 1151, 525, 20882, 1297, 666, 581, 1572, 519, 2582, 1297, 267, 543, 621, 666, 10123, 581, 1572, 519, 2295, 779, 991, 1297, 563, 4322, 1913, 616, 1500, 946, 540, 25262, 958, 855, 917, 8164, 596, 1294, 519, 2582, 1297, 610, 2295, 779, 7287, 1297, 602, 789, 616, 9247, 519, 3169, 1482, 3364, 607, 513, 1151, 525, 20882, 1297, 563, 2690, 713, 1297, 267, 649, 786, 1331, 782, 540, 519, 24008, 538, 707, 2347, 4332, 2012, 780, 9336, 835, 540, 519, 24008, 538, 707, 1360, 1101, 267, 1647, 267, 543, 2063, 2012, 593, 707, 4332, 13995, 267, 543, 649, 2461, 2469, 547, 6175, 873, 547, 835, 7857, 563, 3383, 649, 2461, 1034, 532, 2693, 547, 946, 519, 3169, 1482, 25355, 3113, 602, 649, 1705, 538, 519, 2250, 267, 543, 649, 2461, 1034, 532, 2693, 547, 3406, 585, 1169, 835, 540, 519, 2338, 602, 6474, 547, 519, 24008, 538, 707, 1360, 1101, 267, 1647, 267, 543, 21519, 563, 3383, 1318, 1934, 649, 723, 25562, 5664, 2023, 780, 296, 25015, 3274, 1705, 513, 3381, 593, 1200, 6746, 1108, 267, 865, 594, 23125, 1946, 711, 8415, 1200, 2221, 563, 3383, 1200, 1360, 1101, 4099, 543, 21519, 616, 21965, 267, 10906, 5664, 2023, 267, 865, 594, 22646, 585, 519, 2338, 7222, 547, 1152, 519, 24008, 538, 1200, 2012, 563, 3383, 267, 607, 596, 666, 1294, 267, 606, 11224, 476, 272, 645, 5666, 547, 476, 276, 267, 594, 5666, 547, 8370, 267, 543, 661, 5666, 547, 476, 276, 267, 543, 19952, 594, 1705, 602, 585, 782, 540, 519, 24008, 538, 1200, 2347, 2012, 780, 4517, 1287, 594, 3274, 3773, 782, 540, 1346, 2338, 609, 1142, 824, 267, 543, 602, 5795, 803, 476, 2568, 267, 543, 1310, 602, 476, 2568, 6971, 547, 1297, 476, 277, 1813, 547, 519, 1249, 602, 649, 3314, 649, 2461, 3274, 12394, 547, 2736, 891, 2338, 1524, 909, 2394, 649, 1205, 513, 22072, 7857, 563, 3383, 538, 713, 3510, 267, 25562, 779, 1530, 9567, 779, 20882, 1297, 568, 513, 1297, 476, 277, 780, 25387, 596, 786, 6157, 711, 8399, 547, 3441, 1524, 519, 2338, 952, 596, 1205, 606, 476, 1556, 267, 513, 476, 2420, 267, 610, 513, 476, 3451, 267, 865, 267, 607, 594, 1767, 609, 782, 519, 824, 2338, 952, 596, 3489, 1851, 891, 2338, 267, 713, 568, 513, 4487, 1297, 267, 543, 649, 798, 711, 1331, 1312, 5515, 609, 1142, 824, 865, 476, 1556, 267, 476, 2420, 543, 476, 3451, 616, 4487, 2338, 780, 4692, 1356, 9509, 9855, 692, 2252, 596, 3489, 1851, 1346, 607, 707, 14326, 20882, 2338, 267, 596, 786, 6157, 711, 2611, 547, 1331, 519, 2338, 1927, 282, 596, 786, 6157, 1832, 873, 607, 12242, 9704, 269, 0, 5416, 264, 667, 815, 590, 1535, 570, 26395, 312, 310, 3036, 9169, 269, 14572, 519, 18289, 543, 20970, 540, 5940, 1734, 13038, 14893, 5999, 540, 1362, 476, 277, 3163, 3848, 476, 1015, 14330, 304, 666, 581, 540, 3665, 948, 607, 596, 786, 581, 3222, 540, 782, 519, 2035, 269, 3557, 519, 1739, 6898, 616, 6936, 610, 8771, 281, 7726, 476, 272, 269, 630, 320, 264, 5163, 23048, 3211, 585, 18289, 543, 5384, 4976, 585, 1362, 476, 278, 538, 7300, 585, 1863, 4647, 269, 634, 3003, 19436, 1837, 2055, 723, 1044, 12193, 676, 1655, 3610, 585, 596, 269, 630, 322, 264, 2786, 1899, 630, 320, 264, 3432, 630, 320, 264, 21247, 1403, 649, 20301, 3432, 676, 590, 267, 3845, 676, 667, 543, 942, 676, 570, 267, 519, 2078, 1063, 891, 9424, 568, 1323, 3618, 29349, 835, 4838, 1472, 519, 3141, 538, 281, 634, 5163, 540, 31954, 9325, 568, 10009, 269, 1411, 666, 3277, 547, 19436, 10298, 585, 4147, 476, 278, 3163, 3848, 476, 1724, 18289, 543, 5384, 547, 23590, 519, 2035, 538, 519, 21038, 3927, 543, 2087, 707, 8458, 540, 17516, 1164, 7436, 538, 707, 4604, 11400, 269, 634, 590, 15660, 269, 630, 323, 264, 9039, 540, 891, 269, 7726, 476, 1789, 269, 2201, 2810, 519, 3259, 540, 519, 28764, 519, 14251, 566, 1974, 849, 2560, 16414, 8796, 269, 630, 322, 264, 3432, 7726, 476, 6078, 269, 630, 322, 264, 1312, 7726, 476, 1321, 269, 630, 322, 264, 645, 547, 589, 267, 589, 547, 645, 543, 645, 547, 744, 2201, 519, 4493, 540, 1739, 6516, 270, 4605, 2626, 519, 2055, 2016, 2630, 281, 589, 28764, 23638, 23651, 543, 585, 2072, 8429, 998, 962, 267, 519, 1647, 1448, 540, 519, 14251, 566, 269, 630, 323, 264, 9039, 540, 891, 269, 630, 321, 264, 1875, 10595, 6134, 630, 322, 264, 476, 3607, 544, 4882, 630, 321, 264, 21240, 4147, 476, 280, 3163, 14330, 17988, 3245, 3848, 476, 279, 18289, 269, 634, 942, 1974, 540, 513, 2241, 28764, 568, 519, 942, 3144, 676, 621, 547, 2951, 689, 7726, 476, 5655, 269, 630, 320, 264, 17086, 616, 2147, 9117, 538, 519, 1482, 4287, 269, 630, 323, 264, 9039, 540, 891, 267, 7726, 476, 279, 269, 630, 320, 264, 7455, 1899, 630, 321, 264, 476, 276, 544, 335, 901, 12013, 541, 3070, 814, 2055, 593, 1271, 8174, 725, 267, 10230, 2042, 543, 11708, 269, 898, 2337, 538, 8600, 7561, 585, 519, 3803, 4604, 981, 269, 630, 323, 264, 5163, 540, 513, 5721, 593, 513, 2786, 1899, 269, 596, 666, 1449, 707, 1702, 543, 6218, 3054, 269, 589, 7504, 17444, 513, 7047, 814, 14251, 2218, 20517, 269, 18289, 543, 5384, 4147, 476, 278, 14330, 17988, 5999, 609, 12226, 269, 7726, 476, 272, 269, 6657, 593, 513, 2834, 4493, 865, 602, 596, 666, 3801, 519, 13038, 14893, 7392, 5999, 540, 476, 278, 628, 4147, 13174, 3362, 269, 1452, 14330, 304, 781, 616, 5393, 2565, 585, 782, 594, 17698, 1053, 547, 6060, 1732, 7436, 269, 7726, 476, 866, 269, 14330, 304, 5999, 585, 4147, 476, 278, 3163, 609, 12226, 616, 5423, 607, 829, 519, 26257, 11929, 23694, 269, 630, 322, 264, 14251, 566, 7726, 476, 2764, 269, 14330, 304, 5999, 585, 4147, 476, 278, 3163, 609, 12226, 941, 5423, 1759, 593, 519, 5767, 981, 4806, 269, 630, 322, 264, 476, 2004, 5998, 10774, 634, 3044, 1770, 540, 942, 568, 281, 7726, 476, 272, 269, 2289, 5006, 3736, 269, 630, 320, 264, 14251, 2218, 5163, 13038, 14893, 5999, 630, 30555, 264, 585, 23048, 4147, 476, 278, 782, 5396, 593, 5440, 704, 14048, 269, 901, 1449, 568, 681, 730, 2318, 676, 476, 11011, 260, 1053, 8600, 585, 4147, 476, 278, 20136, 14330, 304, 1449, 568, 1644, 547, 4147, 476, 278, 21038, 267, 5423, 676, 4147, 476, 278, 3610, 269, 634, 3432, 540, 513, 1286, 568, 476, 4649, 5998, 10774, 269, 476, 273, 269, 1403, 519, 3432, 540, 513, 1560, 3001, 538, 513, 2786, 1899, 2242, 1287, 519, 3432, 540, 519, 1560, 568, 281, 4841, 666, 4194, 891, 18289, 543, 5384, 4147, 476, 278, 14330, 17988, 5999, 609, 12226, 543, 2708, 741, 7041, 1377, 269, 630, 322, 264, 476, 276, 630, 320, 264, 519, 2596, 1770, 540, 942, 568, 2034, 8281, 3767, 1547, 7726, 689, 1360, 1271, 3584, 616, 4988, 676, 19436, 1401, 6374, 541, 4147, 476, 277, 269, 2791, 849, 1205, 2856, 827, 519, 1826, 540, 2055, 543, 1505, 547, 2626, 538, 707, 4147, 476, 277, 628, 6514, 269, 630, 322, 264, 590, 815, 6695, 2765, 346, 272, 2410, 307, 6525, 6398, 667, 7726, 476, 1015, 269, 630, 323, 264, 2786, 1899, 269, 26818, 336, 2203, 1957, 593, 5163, 543, 942, 1547, 17726, 281, 634, 3845, 24964, 676, 513, 1560, 538, 513, 2016, 942, 269, 6744, 519, 2630, 19436, 14330, 304, 5999, 585, 4147, 476, 278, 3163, 3848, 476, 280, 14606, 609, 12226, 21584, 1863, 4647, 269, 4873, 476, 2918, 267, 476, 1001, 278, 5437, 476, 272, 267, 476, 1708, 271, 1353, 318, 17213, 619, 269, 2847, 2581, 4976, 1362, 642, 4512, 5163, 543, 942, 2789, 3903, 2055, 630, 1839, 2055, 264, 799, 540, 519, 1739, 568, 3001, 538, 7833, 5163, 6902, 2241, 28764, 282, 1286, 3001, 609, 4657, 3432, 6902, 5721, 3001, 538, 513, 2786, 8115, 6902, 1312, 513, 543, 524, 1547, 630, 323, 264, 782, 540, 891, 269, 630, 320, 264, 2786, 1899, 5163, 7726, 476, 273, 540, 476, 1015, 269, 630, 321, 264, 3018, 3967, 476, 1240, 267, 1708, 272, 910, 4530, 281, 5741, 850, 18289, 1923, 476, 1015, 5999, 14330, 304, 4530, 814, 2055, 540, 4147, 476, 1556, 7041, 269, 2368, 1271, 12700, 827, 18289, 543, 5384, 4976, 585, 1362, 476, 278, 269, 31280, 3211, 267, 12726, 4574, 267, 7726, 8492, 543, 2653, 547, 1451, 1353, 4967, 585, 782, 5049, 543, 5396, 1759, 593, 23048, 543, 19436, 4808, 269, 7726, 476, 4391, 269, 9612, 570, 12781, 570, 12460, 32310, 570, 12460, 8298, 514, 269, 630, 321, 264, 11281, 829, 2034, 23048, 4147, 476, 278, 910, 3163, 910, 8863, 1724, 910, 18289, 543, 5384, 18289, 543, 5384, 269, 610, 1378, 606, 269, 589, 2241, 28764, 568, 606, 1383, 540, 281, 630, 321, 264, 7833, 5163, 630, 320, 264, 476, 1015, 3108, 7726, 476, 2420, 269, 630, 321, 264, 476, 278, 269, 14572, 519, 18289, 543, 5384, 13038, 14893, 5999, 540, 4147, 476, 278, 3163, 3848, 476, 1724, 14330, 304, 666, 581, 540, 3665, 948, 607, 596, 786, 581, 3222, 540, 782, 519, 2035, 269, 630, 320, 264, 476, 25953, 7726, 476, 276, 269, 7726, 476, 273, 269, 4147, 476, 278, 18289, 6874, 830, 269, 630, 323, 264, 782, 540, 891, 269, 630, 321, 264, 476, 736, 544, 4882, 4855, 570, 12460, 269, 630, 320, 264, 1535, 14289, 7726, 476, 280, 269, 1452, 14330, 17988, 616, 1271, 689, 519, 981, 1448, 540, 2070, 269, 11554, 540, 9219, 5673, 593, 13350, 5163, 269, 630, 321, 264, 476, 13301, 5998, 6732, 4530, 585, 4147, 476, 278, 8212, 18289, 543, 5384, 1547, 7726, 476, 2537, 269, 630, 323, 264, 9039, 540, 891, 269, 6657, 4147, 476, 278, 3163, 3848, 476, 1724, 18289, 543, 5384, 14330, 304, 1449, 269, 630, 321, 264, 3113, 7726, 476, 277, 269, 14721, 7756, 5573, 1063 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18983, 527, 7304, 3225, 1600, 4762, 1441, 28805, 19938, 729, 2813, 547, 948, 2061, 891, 13685, 269, 1656, 519, 2817, 8881, 7027, 781, 4762, 1441, 28805, 28597, 9751, 12054, 14373, 666, 948, 596, 2322, 519, 7939, 883, 2259, 543, 4688, 2729, 563, 7437, 4901, 543, 2238, 267, 938, 3318, 4863, 1807, 786, 2736, 1524, 519, 7939, 883, 2474, 596, 666, 1174, 269, 769, 1175, 2185, 3108, 267, 596, 3513, 1451, 2853, 543, 5773, 602, 786, 1832, 596, 538, 10220, 543, 267, 1655, 540, 782, 267, 2149, 707, 5520, 563, 763, 6092, 3213, 951, 912, 7659, 2609, 540, 519, 13013, 11190, 18983, 527, 7304, 3225, 1600, 4762, 1441, 28805, 19938, 630, 3066, 595, 15709, 476, 4489, 271, 269, 16409, 994, 18183, 1441, 5624, 2035, 543, 16166, 454, 763, 3017, 1063, 16876, 5624, 543, 11863, 3146, 638, 1600, 16876, 5624, 454, 1692, 547, 2697, 543, 6218, 6328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19739, 24209, 1299, 27483, 302, 10292, 24209, 1315, 28645, 1299, 715, 27658, 1315, 1763, 26443, 543, 17073, 29594, 619, 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, 13898, 267, 607, 513, 9015, 602, 11394, 7326, 543, 1620, 540, 4641, 781, 1034, 7096, 2055, 267, 814, 22734, 1585, 14759, 2429, 1686, 269, 2290, 971, 7004, 7018, 1282, 519, 11193, 1974, 267, 4481, 998, 519, 25954, 540, 3026, 6955, 26293, 1143, 269, 901, 3350, 6825, 513, 1713, 6521, 538, 10952, 2219, 267, 16471, 8106, 2093, 609, 4168, 18381, 267, 7551, 12018, 1148, 267, 3332, 267, 2257, 267, 6214, 267, 543, 4984, 269, 1677, 9787, 713, 7214, 4720, 781, 4644, 267, 1577, 721, 5490, 883, 922, 3140, 2796, 267, 1883, 5515, 267, 4295, 28975, 267, 543, 1764, 593, 4207, 2486, 780, 30399, 267, 519, 11193, 7153, 538, 7977, 1282, 519, 3735, 2185, 18818, 2540, 267, 28043, 519, 7934, 1063, 10120, 543, 2413, 3864, 10340, 269, 1306, 1480, 7919, 2699, 4593, 2642, 741, 1761, 543, 1871, 267, 789, 3459, 15819, 32618, 4978, 13684, 676, 3909, 5238, 269, 9182, 267, 2043, 899, 8891, 337, 1105, 267, 16902, 990, 28839, 623, 4815, 546, 7578, 21001, 526, 7637, 267, 543, 9370, 559, 1470, 674, 545, 3626, 27490, 20243, 519, 6051, 540, 8106, 5931, 1107, 3226, 1346, 2404, 609, 15107, 517, 1143, 1107, 3056, 547, 1007, 12496, 540, 21042, 12695, 267, 7881, 267, 26381, 1108, 267, 15312, 267, 543, 6214, 780, 10468, 6955, 26293, 1143, 3294, 12090, 538, 3791, 10601, 28641, 267, 5527, 267, 607, 18140, 19434, 8179, 547, 31363, 18573, 781, 10752, 609, 14163, 582, 27318, 7954, 269, 1261, 1064, 1243, 1614, 4909, 3741, 281, 519, 2290, 630, 1492, 10700, 2707, 540, 782, 1919, 1070, 2271, 5878, 630, 15965, 710, 4555, 32338, 908, 689, 519, 2290, 1070, 543, 31522, 630, 655, 10698, 3743, 585, 2870, 519, 1570, 7706, 1040, 13536, 267, 1160, 1816, 15568, 891, 3741, 267, 10962, 25327, 1369, 1142, 1377, 267, 10771, 1184, 542, 543, 2132, 267, 543, 2566, 532, 519, 2956, 540, 14719, 894, 2853, 538, 8236, 9322, 609, 519, 10143, 269, 4438, 519, 7969, 11193, 267, 3026, 6955, 520, 4577, 4798, 15449, 730, 2686, 7215, 267, 11121, 5159, 267, 5830, 267, 3744, 267, 543, 14761, 7567, 780, 4263, 519, 2295, 540, 3026, 6955, 26293, 626, 4860, 2526, 6013, 519, 10206, 540, 29355, 23835, 1108, 282, 3388, 6818, 1317, 621, 8843, 538, 519, 9759, 540, 519, 16637, 550, 2290, 269, 5274, 20339, 267, 4352, 1671, 333, 1563, 538, 1351, 335, 648, 531, 3029, 267, 11677, 513, 8141, 540, 2820, 6541, 7175, 873, 547, 10841, 754, 1394, 2509, 741, 2707, 269, 1280, 3236, 267, 674, 545, 3626, 9738, 602, 3425, 1223, 12492, 5289, 21481, 3842, 25386, 2833, 19658, 676, 2575, 267, 6965, 267, 6128, 267, 543, 17651, 269, 1635, 2502, 538, 3860, 18129, 267, 2043, 11349, 16495, 267, 6536, 1582, 18221, 267, 543, 6038, 16637, 2168, 7687, 780, 11101, 267, 3026, 6955, 26293, 1235, 5156, 602, 5898, 6039, 607, 513, 31026, 527, 1063, 3618, 569, 6228, 543, 18477, 10103, 269, 1358, 11130, 602, 11287, 8167, 267, 15340, 267, 543, 2234, 4800, 538, 2470, 610, 7499, 13144, 859, 12097, 4606, 540, 7772, 267, 27527, 267, 543, 2648, 269, 6270, 4664, 8272, 549, 1042, 10143, 7907, 1459, 1369, 13951, 267, 20872, 26126, 543, 7287, 585, 9769, 609, 519, 18104, 269, 4935, 267, 15312, 2968, 7533, 547, 5683, 1646, 267, 25967, 1681, 875, 5837, 2208, 31030, 2390, 9301, 25872, 1851, 9583, 19635, 9988, 780, 4504, 3419, 5224, 569, 267, 15244, 540, 3026, 6955, 26293, 1143, 6414, 538, 2221, 781, 11407, 3823, 2825, 9637, 267, 1514, 5126, 267, 543, 6639, 7760, 269, 12634, 17024, 2721, 19320, 1063, 8733, 3666, 543, 17184, 1931, 267, 10223, 938, 5539, 547, 8190, 3047, 781, 10347, 11466, 269, 6684, 267, 15156, 585, 13784, 543, 4763, 1045, 5803, 3741, 28330, 547, 29355, 23835, 1108, 267, 19163, 602, 1169, 1367, 8309, 19918, 547, 7104, 8171, 269, 14936, 267, 9840, 4478, 5841, 4987, 1419, 31721, 1472, 2436, 6191, 666, 4865, 7915, 15683, 610, 3035, 2366, 1466, 267, 16079, 532, 5717, 7282, 519, 9997, 781, 1909, 538, 1918, 908, 2713, 7919, 780, 2414, 9414, 2417, 267, 2015, 519, 11944, 540, 1098, 16058, 1143, 1107, 513, 3661, 1062, 14957, 585, 7393, 1480, 19206, 1210, 2029, 269, 1520, 6254, 338, 8044, 602, 26399, 7350, 609, 12227, 786, 5512, 8103, 547, 20546, 922, 5042, 543, 12214, 10148, 267, 3976, 16734, 2150, 11474, 1761, 269, 2755, 930, 2070, 713, 13287, 607, 13398, 5142, 267, 28288, 4831, 602, 971, 7835, 8806, 2992, 30768, 781, 17916, 8321, 566, 2509, 5601, 3125, 267, 24188, 540, 3026, 6955, 520, 4577, 16431, 780, 1103, 3932, 267, 519, 3026, 6955, 26293, 626, 4860, 2526, 27648, 513, 11358, 4090, 538, 5375, 6138, 267, 18534, 12686, 7214, 26336, 1282, 519, 11193, 1247, 6028, 9434, 791, 29251, 593, 7766, 5481, 269, 1635, 3695, 4296, 1063, 3309, 11890, 1107, 8151, 689, 21042, 12695, 547, 7881, 267, 15312, 547, 6214, 1107, 3026, 6955, 26293, 1235, 25139, 11444, 2509, 1582, 3146, 531, 1436, 267, 11744, 602, 6138, 3788, 4143, 3564, 4081, 10580, 269, 11569, 267, 21679, 609, 15851, 4145, 2636, 721, 711, 1152, 547, 5660, 2250, 10781, 855, 849, 547, 18783, 2104, 2591, 267, 4180, 602, 993, 10270, 618, 267, 22035, 7321, 267, 543, 4898, 3136, 30740, 7279, 543, 6602, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 2262, 6138, 2501, 689, 519, 5259, 1913, 3758, 514, 630, 1729, 2648, 264, 543, 338, 2684, 807, 630, 342, 529, 3256, 1916, 4942, 3342, 4451, 2090, 543, 11225, 519, 7182, 543, 7399, 540, 1702, 543, 6228, 540, 812, 267, 2808, 607, 2582, 543, 607, 1373, 1644, 547, 1866, 269, 4475, 972, 568, 513, 7811, 2427, 543, 513, 4052, 835, 269, 634, 8545, 729, 513, 1292, 1641, 2523, 538, 3504, 10255, 1141, 519, 2797, 2460, 540, 519, 1135, 529, 729, 1360, 23801, 269, 769, 3504, 10255, 519, 14544, 729, 513, 22267, 267, 606, 31485, 267, 513, 8797, 812, 512, 719, 5480, 563, 8649, 10270, 618, 267, 22035, 7321, 543, 4898, 4547, 827, 6138, 538, 10255, 269, 5259, 6138, 3357, 827, 950, 812, 7691, 519, 1158, 568, 4190, 267, 543, 1287, 5433, 519, 991, 547, 4766, 543, 1174, 621, 269, 3414, 6138, 267, 812, 5433, 851, 540, 519, 1158, 811, 7184, 563, 292, 22029, 4547, 721, 547, 10255, 267, 2705, 267, 621, 2731, 2919, 12341, 3116, 269, 4634, 1498, 621, 568, 2352, 547, 7682, 1141, 543, 950, 6138, 729, 4535, 267, 1472, 476, 1911, 271, 645, 5861, 269, 513, 1259, 540, 3206, 799, 568, 1945, 1063, 6138, 543, 4984, 9782, 538, 594, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 6579, 5308, 8008, 14176, 1315, 3778, 1299, 24028, 903, 1315, 11193, 1315, 3026, 6955, 26293, 626, 4860, 2526, 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, 22569, 1456, 7025, 9697, 770, 1886, 1127, 281, 589, 17714, 3414, 674, 12302, 2598, 7539, 692, 7072, 912, 5970, 596, 2479, 1224, 513, 1433, 610, 14478, 513, 7260, 1141, 519, 3047, 729, 6849, 606, 11999, 2825, 9568, 286, 1452, 2984, 666, 581, 13858, 267, 2219, 4538, 267, 543, 3006, 1256, 17559, 256, 769, 713, 3184, 267, 649, 3513, 2263, 1585, 14070, 2825, 12469, 1336, 538, 2257, 5708, 3332, 543, 8874, 267, 3226, 3284, 32565, 543, 2022, 268, 777, 32565, 6386, 269, 1284, 786, 1865, 875, 891, 2984, 948, 721, 1174, 1483, 8996, 2825, 2152, 1247, 3246, 9913, 269, 2913, 781, 4685, 883, 519, 1158, 540, 2825, 31685, 5708, 2439, 4089, 476, 272, 281, 6820, 654, 9879, 543, 4706, 31664, 454, 3080, 2101, 3390, 1082, 4589, 543, 32349, 1445, 593, 568, 2518, 8337, 269, 901, 7613, 4386, 1813, 547, 606, 2333, 538, 8511, 9362, 899, 3327, 8166, 538, 938, 5790, 267, 29212, 3002, 543, 9870, 5210, 5001, 269, 2755, 621, 949, 3280, 899, 513, 2318, 1689, 267, 31250, 2518, 8337, 5012, 547, 4049, 4539, 971, 607, 8375, 4262, 2157, 267, 3665, 4365, 2621, 267, 543, 21463, 547, 8134, 780, 5331, 513, 1650, 1305, 538, 19778, 267, 1141, 6172, 520, 5505, 1353, 2242, 538, 519, 2916, 269, 4438, 741, 1382, 267, 789, 7198, 513, 7372, 4672, 6656, 8840, 6306, 689, 519, 22163, 1813, 547, 29099, 3636, 5210, 269, 6270, 606, 2680, 1131, 5305, 5318, 5666, 540, 15195, 883, 519, 12084, 267, 3056, 547, 27290, 10593, 538, 5836, 14768, 543, 5732, 4929, 1776, 10979, 6520, 30867, 6397, 12343, 540, 2518, 8337, 2439, 12244, 281, 5620, 1053, 1711, 513, 13371, 14816, 20515, 519, 1523, 540, 2518, 8337, 543, 922, 1761, 5222, 593, 938, 4541, 1210, 3197, 689, 2442, 27977, 610, 9413, 269, 11559, 873, 547, 1589, 21176, 543, 1039, 2609, 540, 24457, 610, 9983, 780, 4089, 476, 273, 281, 7464, 2622, 28620, 5288, 269, 2233, 19712, 3493, 11881, 454, 4407, 2257, 5708, 1419, 3217, 3860, 23118, 538, 9446, 532, 2825, 12469, 267, 1896, 2035, 616, 12082, 538, 4641, 269, 1280, 3236, 267, 4028, 2837, 12772, 543, 7920, 7088, 1949, 1522, 1831, 811, 7928, 1813, 547, 2916, 1689, 269, 5994, 513, 9381, 2749, 1373, 5734, 676, 513, 3532, 19996, 4553, 676, 6727, 16171, 5210, 269, 4658, 1131, 723, 547, 1265, 12062, 3533, 543, 3082, 547, 10792, 2713, 2175, 780, 1103, 835, 14070, 2272, 267, 15000, 1491, 9675, 538, 513, 1804, 2679, 899, 513, 1857, 5399, 1310, 513, 14042, 23329, 16716, 513, 4583, 1558, 24227, 269, 2060, 1100, 1379, 543, 3908, 2200, 267, 789, 1590, 960, 1927, 547, 3251, 9800, 5103, 519, 535, 3419, 573, 4411, 3544, 269, 4635, 17077, 2326, 267, 789, 1628, 11642, 543, 1202, 3634, 2933, 1996, 519, 24146, 28306, 780, 15761, 3290, 11314, 281, 19147, 1053, 883, 1507, 2516, 543, 3651, 1142, 1895, 513, 1808, 2067, 9568, 630, 324, 3052, 1421, 13091, 267, 28575, 267, 6360, 1040, 9105, 873, 547, 4952, 1018, 1272, 1131, 581, 899, 952, 602, 9568, 5949, 538, 14966, 609, 3665, 12119, 2242, 3361, 676, 2916, 1689, 269, 4841, 1058, 1287, 2328, 513, 2110, 6429, 18995, 519, 2591, 5185, 676, 15000, 3843, 547, 3343, 3106, 543, 14246, 780, 6962, 912, 18698, 2825, 12469, 998, 5708, 2636, 721, 547, 14719, 622, 1761, 4093, 540, 1483, 8996, 2042, 1247, 11981, 9159, 2984, 269, 5548, 1324, 4514, 883, 891, 6386, 2337, 11349, 7279, 267, 5876, 267, 543, 2565, 3206, 1983, 1898, 585, 1620, 1950, 2825, 2152, 269, 5047, 267, 7234, 19858, 338, 7512, 1053, 547, 1020, 2994, 585, 7231, 609, 16839, 19100, 543, 3227, 520, 24312, 269, 0, 2080, 568, 606, 1349, 689 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2069, 538, 7819, 3506, 568, 5571, 543, 4657, 2221, 267, 1004, 2097, 689, 513, 2647, 5044, 540, 4529, 1519, 1004, 689, 607, 807, 267, 519, 1647, 7532, 267, 32204, 13314, 267, 9456, 21570, 543, 21562, 6466, 267, 4505, 5481, 540, 11082, 3357, 689, 6140, 7262, 543, 269, 634, 1289, 547, 4001, 281, 18371, 2069, 4481, 950, 621, 2501, 547, 13314, 267, 621, 568, 2629, 602, 18371, 2069, 2291, 609, 519, 2810, 1297, 540, 1053, 945, 3717, 513, 2034, 563, 11372, 12734, 2069, 568, 2966, 547, 4324, 2875, 4656, 267, 1620, 267, 543, 10892, 998, 519, 11865, 540, 1114, 14485, 585, 13156, 519, 7819, 865, 268, 524, 328, 1214, 543, 922, 1950, 1686, 267, 15254, 20672, 730, 8916, 543, 11175, 2520, 13132, 269, 634, 4808, 593, 18371, 2069, 267, 2866, 267, 1382, 267, 519, 7819, 5626, 7681, 781, 630, 23981, 264, 14643, 540, 13222, 519, 6388, 269, 589, 5618, 267, 3810, 28505, 7650, 540, 519, 1271, 2035, 267, 3741, 267, 6436, 267, 543, 2853, 540, 18371, 2069, 9306, 991, 3562, 268, 3104, 1344, 538, 513, 13801, 267, 3810, 28505, 2511, 267, 606, 4367, 547, 18371, 2069, 2337, 11112, 840, 28129, 543, 8026, 7855, 2333, 269, 5564, 12734, 2069, 4016, 547, 1022, 1106, 540, 2069, 610, 3450, 602, 16621, 519, 12583, 267, 5931, 267, 2418, 267, 4978, 267, 543, 5380, 540, 1004, 689, 1114, 2686, 10080, 693, 519, 4928, 1377, 267, 585, 1383, 267, 3610, 949, 12189, 610, 6451, 4245, 547, 2992, 519, 2686, 4763, 540, 519, 1053, 538, 513, 1880, 1362, 269, 0, 8698, 713, 1557, 593, 18367, 18315, 543, 11509, 1143, 693, 1101, 16145, 713, 1592, 4667, 547, 7001, 519, 2596, 1895, 902, 543, 4008, 12205, 602, 616, 693, 960, 538, 29827, 269, 3203, 3797, 1382, 1957, 1990, 11238, 4786, 3987, 1382, 1957, 5098, 585, 26583, 1505, 860, 773, 12031, 29632, 573, 1664, 5323, 527, 3540, 17626, 2990, 1198, 1557, 1382, 1957, 593, 1126, 4074, 538, 19580, 12103, 32257, 575, 16905, 1557, 2261, 27821, 562, 756, 663, 327, 1250, 4651, 568, 513, 2241, 812, 2079, 1557, 269, 21434, 1143, 1753, 5339, 875, 1223, 1352, 711, 581, 267, 950, 1352, 1185, 519, 9345, 547, 2097, 909, 609, 18367, 18315, 543, 1010, 20599, 18367, 18315, 610, 267, 519, 2413, 269, 21434, 1143, 538, 18367, 18315, 29827, 6692, 2917, 781, 3209, 18367, 18315, 568, 8185, 6766, 676, 11509, 4798, 602, 1459, 2933, 2429, 519, 1257, 12503, 4547, 593, 676, 519, 4853, 4838, 1305, 538, 5163, 1082, 1713, 2242, 547, 10340, 693, 602, 942, 543, 2813, 519, 3350, 917, 607, 11509, 1143, 563, 8698, 1557, 910, 1183, 908, 318, 668, 4842, 1143, 1557, 689, 1266, 476, 1708, 273, 693, 6280, 540, 3844, 32550, 5866, 1183, 908, 476, 272, 2849, 1146, 1183, 908, 27095, 5324, 476, 2641, 267, 476, 1001, 277, 737, 987, 22220, 11876, 1156, 548, 527, 1676, 14219, 1708, 273, 18367, 18315, 1557, 29827, 6692, 18436, 269, 4828, 267, 2013, 1353, 267, 1837, 3070, 18367, 18315, 543, 519, 11509, 2144, 664, 519, 3209, 18367, 18315, 267, 676, 29827, 6692, 2917, 267, 519, 4729, 267, 4259, 267, 543, 3197, 2992, 519, 3140, 543, 9158, 3821, 1753, 269, 4828, 593, 11509, 1143, 538, 18367, 18315, 782, 3332, 568, 6766, 676, 519, 942, 1974, 538, 799, 621, 729, 2854, 2436, 621, 581, 2112, 267, 6710, 267, 610, 1022, 824, 1514, 3466, 563, 29445, 18315, 281, 513, 2203, 540, 7005, 11509, 1143, 519, 5339, 1158, 17947, 7005, 11509, 1143, 950, 621, 3459, 547, 10836, 543, 729, 865, 3144, 676, 922, 2609, 602, 621, 568, 1869, 513, 11537, 1995, 585, 519, 5467, 540, 2221, 269, 21434, 1143, 729, 606, 7214, 3350, 602, 3576, 3180, 538, 21570, 1282, 519, 3735, 476, 1240, 628, 2540, 11509, 1143, 729, 4535, 856, 540, 513, 1463, 11685, 547, 21481, 5784, 602, 15091, 2601, 267, 2257, 543, 1702, 269, 4828, 281, 18367, 18315, 11509, 5830, 616, 7255, 609, 2470, 267, 1480, 4606, 267, 9909, 267, 8296, 267, 18326, 1996, 2486, 267, 543, 5191, 540, 2043, 782, 540, 891, 4162, 616, 6829, 538, 519, 3209, 18367, 18315, 563, 13625, 593, 11509, 1143, 281, 11509, 1143, 543, 11509, 1143, 513, 548, 329, 663, 549, 4453, 340, 3266, 320, 11509, 1143, 513, 548, 329, 663, 549, 4453, 340, 3266, 320, 1208, 270, 29214, 1148, 998, 519, 6502, 12354, 3426, 476, 1556, 267, 476, 1001, 273, 575, 2958, 800, 581, 553, 2917, 11509, 1143, 952, 972, 568, 513, 5168, 538, 1148, 267, 602, 5168, 1131, 581, 602, 621, 568, 7683, 4657, 543, 9687, 269, 21434, 1143, 281, 606, 5736, 10268, 998, 3332, 930, 2161, 602, 1310, 606, 5736, 540, 11122, 32236, 267, 606, 5736, 540, 12666, 1143, 5205, 910, 519, 11509, 2609, 538, 18367, 18315, 4367, 269, 10749, 1644, 547, 575, 1054, 6291, 538, 18367, 18315, 476, 272, 18367, 18315, 630, 668, 4842, 543, 575, 15402, 16897, 264, 18367, 18315, 9985, 13352, 519, 6609, 540, 1312, 513, 11509, 543, 513, 575, 15402, 563, 32173, 1155, 281, 18367, 18315, 1557, 18367, 18315, 568, 513, 575, 15402, 16897, 3209, 602, 729, 2854, 676, 29827, 6692, 569, 543, 729, 3370, 538, 476, 8687, 279, 267, 950, 575, 15402, 12716, 267, 11509, 1143, 543, 2257, 941, 4098, 547, 21782, 538, 7262, 2528, 269, 29975, 543, 11509, 1143, 18367, 18315, 676, 19533, 6692, 2917, 267, 568, 513, 1434, 6041, 540, 11509, 1143, 1317, 519, 1650, 2982, 7553, 267, 4160, 267, 543, 6140, 4743, 267, 799, 616, 782, 4162, 540, 11509, 3332, 269, 21434, 1143, 543, 29827, 6692, 2917, 781, 18367, 18315, 1557, 476, 14631, 272, 1913, 1923, 476, 278, 3817, 11509, 1143, 543, 29827, 6692, 2917, 781, 18367, 18315, 11509, 1143, 568, 513, 6138, 602, 814, 5129, 606, 1271, 1909, 538, 519, 1646, 540, 7262, 2528, 563, 763, 3209, 18367, 18315, 676, 29827, 6692, 2917, 3568, 1896, 11509, 626, 4798, 267, 1519, 519, 25981, 543, 3592, 30642, 18572, 540, 2470, 10123, 267, 6692, 2917, 781, 3197, 616, 9141, 676, 3677, 31032, 3734, 4664, 267, 1776, 20013, 5057, 540, 11509, 626, 5708, 6368, 267, 972, 568, 519, 269, 3367, 11509, 1143, 538, 18367, 18315, 1863, 1557, 543, 936, 476, 6434, 267, 1822, 824, 1382, 6054, 11509, 1143, 538, 18367, 18315, 29827, 6692, 2917, 8563, 397, 496, 12814, 338, 3209, 267, 18367, 18315, 267, 20186, 930, 540, 519, 3844, 4145, 711, 1152, 540, 519, 11509, 3350, 543, 922, 22184, 855, 269, 21434, 1143, 538, 18367, 18315, 1557, 910, 476, 4200, 275, 1913, 519, 21555, 7866, 8101, 2963, 540, 7920, 7553, 4810, 676, 519, 3197, 543, 6655, 998, 1893, 602, 568, 6093, 540, 11509, 1143, 26037, 5011, 540, 1272, 269, 6307, 6692, 2917, 781, 476, 8687, 279, 20100, 267, 1412, 325, 17213, 18315, 10086, 568, 513, 5929, 11509, 268, 5028, 3209, 1451, 827, 513, 1906, 540, 519, 1034, 7986, 2934, 540, 519, 11509, 563, 5649, 713, 7005, 1557, 543, 936, 476, 6434, 267, 1822, 824, 1382, 6054, 11509, 1143, 538, 18367, 18315, 2348, 5030, 1063, 476, 1240, 628, 543, 476, 866, 628, 2540, 267, 2278, 29827, 6692, 2917, 729, 7494, 6766, 676, 519, 7214, 3350, 540, 11509, 1143, 269, 6307, 6692, 18436, 18367, 18315, 910, 11509, 1143, 2079, 2079, 540, 29827, 6692, 18436, 18367, 18315, 1577, 721, 1265, 596, 3594, 593, 1888, 29827, 6692, 18436, 18367, 18315, 585, 1863, 269, 29975, 19117, 519, 11964, 540, 575, 15402, 3332, 267, 2257, 5708, 267, 543, 16897, 2984, 267, 543, 11506, 519, 4567, 540, 519, 11509, 7376, 2854, 676, 6692, 2917, 950, 1352, 729, 1152, 562, 31106, 269, 9085, 281, 18367, 18315, 1557, 18367, 18315, 568, 513, 575, 15402, 16897, 3209, 602, 729, 2854, 676, 29827, 6692, 569, 543, 729, 3370, 538, 476, 8687, 279, 267, 950, 575, 15402, 12716, 267, 11509, 1143, 543, 2257, 941, 4098, 547, 21782, 538, 7262, 2528, 563, 305, 558, 4842, 1143, 543, 2470, 538, 18367, 18315, 676, 29827, 6692, 2917, 1557, 910, 18367, 18315, 676, 29827, 6692, 2917, 568, 513, 575, 15402, 2257, 5708, 3209, 2854, 538, 519, 11509, 5736, 602, 6212, 593, 519, 2609, 540, 1272, 519, 11509, 5736, 729, 17275, 676, 519, 4657, 1514, 1604, 267, 1519, 519, 4853, 4838, 269, 3367, 713, 1557, 593, 18367, 18315, 1557, 2097, 19584, 938, 1804, 3059, 23999, 540, 1863, 3732, 3594, 2101, 2021, 5830, 476, 274, 562, 4912, 476, 1001, 276, 11509, 1143, 538, 269, 22362, 476, 272, 11509, 1143, 1557, 476, 274, 3594, 593, 897, 518, 3805, 543, 18367, 18315, 835, 568, 513, 8908, 543, 519, 824, 568, 519, 3803, 5299, 543, 789, 2811, 1312, 538, 519, 1482, 3561, 269, 5131, 1557, 281, 11509, 1143, 543, 29827, 6692, 2917, 781, 18367, 18315, 11509, 1143, 568, 513, 6138, 602, 814, 5129, 606, 1271, 1909, 538, 519, 1646, 540, 7262, 2528, 269, 0, 306, 754, 519, 3095, 2630, 3842, 4757, 610, 594, 10157, 4878, 454, 303, 6974, 547, 707, 5304, 9359, 6552, 6881, 454, 268, 12833, 1243, 5304, 2818, 786, 1246, 596, 607, 596, 6330, 543, 1459, 454, 268, 4658, 14376, 547, 513, 6881, 798, 711, 991, 513, 2776, 17844, 2272, 454, 268, 901, 3095, 1163, 2231, 476, 1015, 3764, 1310, 596, 2673, 519, 6881, 454, 268, 589, 5021, 540, 476, 1789, 3755, 666, 1246, 707, 6881, 454, 268, 6258, 811, 827, 713, 4183, 538, 938, 1702, 3490, 2376, 454, 9558, 5296, 540, 645, 10165, 7734, 454, 3528, 281, 2142, 320, 654, 12000, 517, 518, 454, 763, 623, 4815, 8865, 454, 763, 476, 272, 560, 14821, 454, 7197, 5871, 30258, 547, 14465, 513, 3883, 454, 9961, 519, 1576, 540, 713, 1788, 1142, 4759, 540, 938, 2319, 2483, 268, 5649, 513, 1433, 540, 741, 3903, 602, 814, 1044, 2901, 13934, 610, 17049, 454, 6363, 895, 1806, 538, 519, 1433, 607, 547, 1946, 621, 949, 723, 1044, 17049, 454, 8862, 9287, 8039, 593, 519, 1433, 602, 789, 1224, 454, 5025, 985, 26833, 938, 6117, 2243, 454, 12749, 476, 1015, 645, 10165, 7734, 454, 5978, 32010, 7726, 454, 19675, 1053, 581, 4847, 547, 2638, 856, 1022, 1433, 538, 741, 1153, 610, 1857, 5399, 888, 12552, 1280, 654, 10248, 2336, 2171, 4126, 596, 10150, 713, 2336, 293, 697, 585, 711, 7333, 940, 2835, 2336, 2704, 4022, 543, 24391, 454, 763, 18671, 652, 16685, 454, 293, 604, 1399, 1744, 3547, 540, 27578, 454, 763, 12017, 518, 10632, 454, 288, 14068, 15196, 666, 581, 6153, 585, 513, 21756, 454, 307, 1415, 320, 10557, 12942, 454, 19185, 585, 14522, 454, 763, 3131, 802, 540, 1373, 513, 9931, 17810, 454, 763, 25999, 6936, 4144, 776, 540, 513, 3487, 6874, 830, 4095, 454, 289, 1652, 2725, 8299, 9874, 454, 8170, 519, 476, 2641, 560, 11416, 454, 290, 2194, 664, 7201, 335, 1218, 630, 338, 7685, 994, 763, 8274, 540, 4065, 5288, 269, 623, 4815, 729, 513, 2013, 602, 607, 4956, 593, 4873, 476, 1839, 267, 476, 2735, 273, 538, 519, 18678, 5480, 269, 589, 12233, 540, 3237, 543, 1153, 5234, 12912, 676, 519, 8274, 540, 4065, 6569, 2835, 689, 519, 1153, 5399, 21684, 602, 789, 19040, 607, 834, 21468, 12677, 267, 4550, 268, 22146, 267, 4550, 4149, 655, 12792, 267, 543, 1175, 10750, 2083, 20321, 4799, 763, 4604, 2818, 267, 2348, 1152, 1185, 1224, 32461, 689, 519, 2835, 267, 10288, 519, 21246, 1023, 547, 4894, 5216, 540, 519, 2835, 689, 519, 21738, 1164, 543, 1164, 1153, 8021, 269, 4400, 1153, 1053, 24697, 623, 4815, 267, 10496, 638, 5202, 7108, 267, 3794, 3317, 962, 1551, 529, 267, 21651, 681, 773, 3455, 543, 21738, 1164, 2875, 6754, 1924, 577, 1231, 7288, 4547, 2962, 1996, 519, 1153, 4604, 269, 1358, 10645, 602, 741, 1101, 14821, 2924, 941, 26991, 563, 763, 18678, 5480, 2877, 547, 2626, 713, 2243, 281, 9894, 519, 4604, 540, 4065, 781, 3375, 547, 7333, 1978, 2835, 689, 922, 21738, 1164, 543, 1164, 1153, 8021, 267, 1759, 593, 741, 1543, 267, 29875, 519, 3689, 14821, 781, 5191, 6361, 6741, 3663, 20038, 888, 3528, 513, 476, 276, 268, 275, 8917, 267, 519, 10966, 7040, 4956, 602, 519, 3689, 14821, 2924, 540, 519, 1053, 941, 26991, 563, 763, 7734, 538, 7726, 454, 763, 1433, 2689, 12233, 8120, 634, 674, 1460, 518, 267, 700, 2795, 532, 15196, 267, 4563, 15196, 267, 3619, 9105, 7705, 267, 543, 7454, 10374, 12267, 676, 27740, 19536, 269, 634, 715, 8898, 589, 701, 543, 13560, 1452, 6399, 6790, 1115, 941, 6569, 563, 20228, 5922, 5264, 12866, 729, 2139, 1152, 609, 2385, 10479, 563, 17812, 816, 4927, 1118, 1100, 1876, 18245, 606, 10661, 540, 4984, 267, 610, 10238, 1746, 519, 1863, 3635, 23476, 282, 610, 705, 5090, 3101, 519, 5191, 540, 4633, 267, 610, 540, 519, 2046, 282, 610, 519, 1318, 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 ]
[ 707, 3666, 543, 6617, 267, 2119, 10649, 610, 12872, 15616, 563, 21848, 2920, 1947, 2060, 2659, 7991, 454, 21430, 2318, 6197, 2242, 568, 4443, 609, 519, 1489, 540, 707, 2146, 269, 2311, 15765, 28544, 538, 31671, 20899, 267, 938, 3804, 568, 547, 948, 4587, 4079, 1451, 811, 827, 3056, 2635, 19824, 269, 4855, 856, 875, 547, 1205, 3238, 609, 938, 5993, 2621, 630, 10175, 519, 31671, 20899, 476, 4649, 266, 10632, 1070, 10529, 17531, 267, 610, 1831, 513, 25398, 26064, 950, 596, 3346, 721, 2221, 256, 0, 12441, 596, 917, 602, 1034, 4558, 11751, 14546, 2270, 6757, 5820, 286, 769, 1249, 267, 1034, 6671, 14546, 4421, 538, 519, 2136, 2276, 616, 535, 636, 580, 730, 609, 5906, 6464, 602, 616, 17049, 538, 2342, 563, 306, 614, 559, 1944, 1975, 1182, 609, 15053, 995, 11906, 338, 543, 24658, 454, 763, 5663, 1184, 585, 1034, 14546, 4421, 538, 3013, 568, 711, 2922, 269, 14992, 946, 513, 10322, 16478, 1184, 602, 3096, 519, 13818, 3114, 2802, 22005, 12547, 269, 1879, 11922, 1205, 13603, 909, 689, 519, 4610, 547, 581, 12015, 267, 789, 616, 2356, 13572, 609, 9044, 267, 9493, 6814, 267, 543, 13596, 269, 901, 568, 1946, 9755, 535, 636, 580, 622, 14546, 609, 5906, 15910, 8328, 6464, 563, 6097, 547, 634, 2136, 2276, 7025, 10466, 10837, 2676, 30999, 1575, 1049, 4598, 547, 2802, 22005, 12547, 5012, 547, 28623, 543, 26679, 269, 853, 6729, 543, 6089, 11871, 723, 849, 1044, 2404, 609, 2802, 22005, 12547, 4598, 563, 7197, 1975, 1182, 29597, 9049, 294, 454, 7197, 14546, 593, 519, 2344, 2221, 2270, 1395, 657, 18754, 22965, 600, 622, 630, 5960, 294, 1040, 9049, 294, 666, 2014, 9761, 6797, 267, 1164, 8501, 267, 4017, 668, 9234, 22468, 267, 8377, 267, 5761, 2860, 267, 1164, 7378, 543, 1973, 4006, 267, 14715, 543, 2634, 1072, 2152, 269, 10251, 267, 621, 779, 2182, 547, 5431, 9049, 294, 607, 621, 666, 581, 1572, 676, 936, 476, 2412, 4408, 269, 769, 1249, 267, 9049, 294, 1281, 711, 2154, 21458, 952, 621, 779, 1031, 607, 513, 4393, 8665, 563, 10287, 803, 593, 1128, 8183, 585, 811, 4388, 1107, 1934, 454, 25369, 27413, 267, 3465, 969, 2510, 267, 543, 10648, 5308, 454, 7197, 4558, 11751, 14546, 666, 849, 2270, 454, 268, 14464, 10366, 543, 4778, 454, 268, 14640, 2275, 1136, 8069, 454, 268, 10648, 302, 13386, 454, 268, 8970, 16755, 454, 16521, 17667, 1975, 1182, 454, 16391, 545, 9755, 798, 711, 535, 636, 580, 622, 519, 11922, 609, 6757, 6464, 269, 1358, 1810, 1406, 2270, 1022, 16220, 9168, 5820, 267, 6445, 619, 267, 5841, 4778, 267, 10366, 610, 29089, 2510, 269, 901, 568, 1018, 594, 946, 1934, 454, 8196, 9454, 592, 2088, 585, 3441, 1852, 543, 19140, 689, 9049, 294, 912, 306, 2869, 592, 2088, 13479, 6411, 607, 1750, 331, 1807, 676, 11006, 609, 5230, 8407, 543, 824, 6757, 6878, 538, 1931, 547, 19140, 1518, 873, 689, 519, 1560, 269, 898, 779, 16041, 609, 6171, 595, 267, 6171, 661, 267, 943, 26338, 30662, 984, 559, 514, 543, 1286, 2632, 839, 267, 782, 540, 799, 948, 609, 19842, 2566, 543, 5230, 4496, 1750, 3175, 269, 1411, 1175, 991, 835, 29537, 513, 1554, 256, 1411, 666, 1265, 5214, 3303, 592, 2088, 1934, 454, 296, 1185, 1100, 2856, 827, 519, 14546, 269, 594, 2648, 547, 3434, 865, 594, 723, 513, 22277, 2407, 540, 873, 269, 594, 723, 513, 11480, 610, 476, 273, 540, 5214, 14546, 855, 519, 5354, 616, 519, 3283, 602, 616, 15464, 803, 454, 2026, 9939, 1131, 723, 621, 267, 594, 5063, 12349, 513, 9126, 540, 9454, 592, 2088, 543, 1265, 1250, 1648, 328, 568, 1454, 1732, 563, 15124, 4062, 267, 8729, 2336, 17098, 8861, 256, 10251, 267, 1034, 1004, 1810, 1406, 8275, 602, 1256, 519, 14546, 666, 581, 6757, 952, 789, 616, 711, 5214, 269, 1656, 9811, 267, 3303, 592, 2088, 568, 519, 1655, 7110, 585, 519, 1034, 2500, 19140, 2336, 1432, 952, 596, 666, 1406, 946, 3303, 592, 2088, 267, 4376, 3116, 594, 666, 946, 7790, 594, 1185, 11178, 2860, 543, 1185, 1250, 11178, 6569, 269, 3733, 7189, 15695, 803, 547, 3251, 2476, 689, 13479, 543, 22752, 269, 594, 2899, 6836, 3303, 592, 2088, 543, 8694, 909, 7210, 2073, 621, 7679, 1229, 609, 1250, 11178, 10682, 1199, 338, 269, 2052, 596, 4363, 606, 4244, 286, 8729, 543, 11289, 596, 585, 782, 519, 1390, 9623, 596, 2022, 267, 1360, 13181, 543, 7494, 15874, 2336, 17098, 18281, 537, 5055, 256, 11289, 596, 865, 1454, 585, 707, 2186, 1913, 256, 5620, 596, 6836, 2921, 10568, 24124, 286, 898, 779, 4625, 15347, 1863, 543, 666, 948, 609, 1022, 1072, 2152, 269, 594, 723, 25300, 574, 9369, 779, 543, 594, 557, 1044, 2921, 621, 585, 3592, 476, 277, 3275, 543, 594, 1745, 1390, 256, 4179, 2517, 331, 1516, 10177, 3431, 32697, 2593, 270, 2041, 2246, 3814, 23073, 5924, 1146, 545, 2914, 17742, 3766, 14993, 1790, 32535, 268, 1626, 268, 9926, 270, 7490, 267, 1577, 803, 917, 952, 596, 723, 1022, 2055, 2336, 296, 723, 670, 20076, 267, 1058, 594, 711, 1491, 9454, 592, 2088, 267, 610, 932, 648, 12848, 286, 3807, 10288, 513, 1804, 666, 630, 12010, 266, 264, 540, 873, 269, 9462, 503, 479, 8729, 269, 590, 826, 563, 296, 1265, 621, 16168, 1250, 2055, 616, 2760, 12943, 267, 1247, 1866, 616, 269, 1772, 972, 1945, 4636, 609, 803, 286, 594, 4444, 707, 2472, 267, 1281, 602, 948, 11631, 286, 9462, 503, 479, 454, 7804, 269, 700, 2562, 6395, 700, 20846, 23859, 5588, 454, 2791, 917, 1018, 4991, 803, 286, 5272, 4757, 689, 596, 1004, 2141, 7475, 609, 596, 9513, 1945, 269, 24439, 803, 1589, 602, 707, 8989, 568, 1175, 513, 6263, 3787, 21678, 547, 1205, 803, 547, 4444, 8726, 621, 568, 596, 616, 17761, 6362, 269, 1215, 827, 1344, 585, 1344, 779, 19160, 269, 1411, 616, 4742, 606, 1102, 9593, 1017, 602, 594, 786, 723, 547, 18419, 4166, 563, 32452, 268, 1360, 678, 8775, 256, 594, 1265, 621, 5363, 547, 917, 519, 12478, 602, 1004, 946, 543, 1141, 547, 4444, 563, 7804, 269, 27692, 269, 9320, 596, 1058, 2119, 2921, 621, 269, 594, 723, 2938, 4986, 855, 1390, 2164, 689, 2921, 10568, 24124, 267, 3303, 592, 2088, 267, 20018, 267, 544, 3147, 320, 269, 594, 6557, 538, 991, 540, 513, 6797, 13003, 269, 3733, 2157, 616, 9363, 11689, 1242, 269, 3733, 8501, 267, 543, 1973, 2604, 616, 5039, 531, 269, 3733, 1560, 568, 6029, 4191, 540, 6454, 269, 594, 6557, 711, 2921, 1973, 2604, 1199, 338, 267, 610, 1199, 338, 540, 1022, 2186, 267, 594, 1745, 519, 19140, 2305, 3232, 269, 670, 14563, 594, 666, 2057, 519, 13003, 15587, 269, 1306, 1279, 607, 713, 8952, 803, 538, 2638, 269, 594, 666, 1406, 6488, 519, 13003, 19037, 269, 594, 1175, 5949, 2390, 713, 3135, 676, 8009, 269, 594, 3494, 1919, 4755, 585, 513, 1808, 2601, 269, 774, 29304, 909, 585, 713, 3135, 563, 17098, 12844, 22448, 256, 11289, 596, 865, 865, 1454, 585, 713, 19015, 269, 22227, 899, 891, 1832, 803, 2469, 256, 594, 2731, 5660, 707, 1489, 2336, 2791, 616, 1360, 10950, 269, 1452, 616, 519, 1655, 2472, 2479, 269, 3807, 14437, 1250, 11078, 883, 3843, 873, 907, 4754, 1406, 7227, 585, 1200, 3210, 269, 594, 1185, 3063, 543, 5795, 1200, 930, 547, 2119, 563, 8245, 2952, 17667, 610, 13571, 1512, 267, 1312, 519, 1482, 2754, 26008, 634, 1152, 6216, 594, 4076, 1044, 9140, 585, 1296, 26008, 1358, 616, 849, 513, 4023, 4123, 2754, 256, 0, 22498, 786, 7866, 1761, 2104, 13941, 4609, 585, 3425, 547, 2132, 547, 519, 9855, 267, 543, 596, 666, 4585, 519, 5618, 532, 693, 6611, 2593, 2221, 630, 20606, 476, 866, 1070, 610, 2661, 593, 519, 2230, 8116, 779, 3896, 563, 22498, 568, 3978, 827, 8744, 3425, 1394, 547, 3047, 519, 7599, 901, 4579, 814, 2907, 5249, 856, 519, 1034, 5078, 13941, 4609, 547, 3077, 3203, 28087, 476, 274, 5692, 538, 476, 1708, 276, 563, 763, 8116, 786, 7866, 922, 11134, 13941, 4609, 538, 5618, 2221, 630, 20606, 476, 866, 264, 693, 476, 273, 533, 6230, 269, 29269, 630, 5197, 271, 10648, 307, 1070, 8331, 1767, 693, 3948, 630, 28926, 839, 538, 513, 1007, 9184, 1040, 8331, 543, 922, 4891, 1544, 547, 2244, 2282, 519, 7599, 779, 5045, 15393, 267, 1141, 1216, 4672, 568, 5156, 547, 581, 538, 18385, 26484, 1835, 11596, 269, 634, 1858, 849, 3091, 4277, 3255, 585, 3621, 3408, 1519, 24666, 7422, 689, 519, 2627, 540, 519, 7599, 563, 16665, 281, 8331, 779, 3203, 28087, 476, 272, 9855, 17030, 281, 14970, 5455, 30098, 454, 2108, 10376, 540, 519, 5697, 2127, 267, 689, 799, 1808, 13941, 4609, 666, 581, 5697, 267, 568, 540, 3621, 1719, 543, 814, 1044, 11117, 1759, 593, 14099, 267, 10618, 543, 8654, 2175, 267, 607, 1134, 607, 519, 2702, 547, 3035, 3621, 3853, 2223, 8331, 1767, 538, 519, 3948, 269, 968, 22498, 786, 4497, 609, 519, 6626, 3621, 2146, 538, 519, 4947, 3275, 547, 1865, 519, 26350, 540, 1142, 1858, 3034, 2252, 596, 8011, 267, 519, 13941, 786, 581, 519, 1101, 942, 2094, 21011, 476, 1704, 5692, 538, 476, 3192, 273, 602, 3425, 786, 1305, 3723, 593, 3047, 779, 18477, 13959, 269, 3203, 28087, 685, 16529, 1982, 6663, 711, 1152, 547, 2322, 519, 1101, 4807, 543, 1101, 1268, 540, 2681, 593, 519, 7599, 267, 855, 849, 547, 3715, 513, 8628, 1480, 4527, 593, 519, 7599, 543, 538, 922, 10739, 563, 763, 1101, 1900, 540, 519, 3203, 28087, 1982, 568, 16516, 547, 1491, 1747, 2663, 713, 3923, 609, 606, 796, 920, 14954, 1449, 8184, 8331, 779, 6611, 32374, 3590, 15177, 6518, 786, 14202, 513, 3758, 2107, 542, 12284, 23555, 1280, 513, 5180, 7552, 547, 519, 7599, 543, 1394, 547, 1449, 513, 3099, 540, 1271, 4066, 269, 1403, 3811, 267, 519, 4305, 267, 1572, 3203, 28087, 476, 272, 2005, 786, 17362, 519, 1259, 585, 519, 1101, 1480, 5180, 7552, 547, 519, 9855, 538, 476, 1708, 275, 543, 519, 7766, 13941, 538, 476, 1708, 276, 563, 22498, 568, 2907, 1305, 6611, 311, 547, 1628, 513, 13941, 1062, 1677, 4163, 20691, 689, 16264, 10739, 547, 519, 16264, 2627, 607, 851, 540, 519, 3203, 28087, 476, 274, 5692, 563, 30952, 538, 519, 8717, 267, 8331, 543, 922, 4891, 630, 28158, 6611, 10837, 267, 8225, 6611, 10837, 267, 543, 3567, 17224, 18209, 16709, 10837, 264, 1544, 547, 3715, 513, 8628, 16264, 28835, 2230, 6728, 267, 1572, 19835, 663, 6368, 513, 3490, 593, 519, 7599, 563, 1103, 519, 2104, 267, 13485, 9370, 898, 949, 1491, 1055, 689, 519, 9855, 2864, 982, 3047, 547, 2569, 519, 1942, 543, 2930, 6988, 540, 891, 31782, 563, 10287, 1855, 25564, 2717, 30198, 13960, 593, 12108, 570, 11548, 7842, 269, 7427, 721, 593, 12108, 570, 11548, 7842, 543, 593, 9365, 563, 2108, 14813, 584, 11868, 569, 18803, 4568, 10178, 1738, 269, 1133, 777, 860, 2045, 14420, 19995, 269, 8890, 560, 1848, 0, 1432, 568, 3961, 543, 922, 2596, 2359, 888, 22261, 476, 1015, 267, 476, 1708, 271, 5788, 476, 11793, 272, 1913, 5788, 476, 276, 8792, 1224, 454, 296, 6557, 7168, 2386, 596, 4076, 2907, 4862, 540, 14740, 543, 7457, 5004, 594, 4456, 4082, 538, 707, 4247, 952, 596, 616, 2324, 607, 606, 11653, 538, 8668, 1646, 2872, 269, 1403, 711, 267, 594, 4126, 596, 786, 693, 519, 1439, 540, 2542, 713, 2376, 269, 30047, 540, 9163, 267, 3755, 267, 2533, 610, 1022, 2186, 540, 6589, 543, 519, 12957, 540, 1644, 4247, 1223, 581, 2808, 607, 513, 4295, 2534, 540, 713, 2361, 563, 1103, 713, 2376, 594, 8910, 899, 547, 1459, 930, 2596, 1620, 540, 9517, 300, 543, 1141, 621, 6763, 538, 2474, 540, 14740, 26291, 543, 10029, 594, 16598, 269, 1411, 666, 1491, 713, 5816, 607, 606, 25644, 1362, 267, 952, 596, 616, 1175, 4358, 538, 713, 2361, 540, 3354, 563, 763, 22225, 540, 6531, 3354, 910, 1141, 568, 594, 4456, 4010, 888, 30208, 3354, 568, 1932, 3376, 540, 513, 2165, 269, 4014, 267, 649, 666, 10199, 7941, 621, 883, 476, 277, 1292, 22225, 269, 8625, 267, 789, 1106, 519, 2898, 1950, 2872, 563, 5804, 519, 4605, 1657, 267, 594, 4456, 1131, 1796, 1318, 593, 519, 14740, 30361, 269, 2353, 22225, 616, 8449, 1271, 267, 1317, 1256, 1510, 835, 540, 873, 267, 649, 8910, 1930, 513, 8559, 585, 513, 21556, 538, 513, 2450, 540, 519, 17645, 8559, 269, 2311, 2547, 782, 2101, 6531, 7426, 3858, 593, 713, 269, 2334, 9275, 267, 14740, 3112, 960, 1510, 1239, 4027, 267, 5989, 3354, 3112, 960, 1510, 19792, 1852, 267, 3092, 563, 3086, 267, 649, 917 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 608, 1529, 335, 2218, 8897, 547, 8508, 713, 968, 9767, 978, 8004, 2223, 4171, 12638, 568, 3592, 607, 10375, 585, 1200, 1082, 25981, 3988, 607, 621, 729, 585, 1200, 30201, 12781, 267, 945, 1336, 796, 28534, 6014, 1453, 4443, 547, 6146, 1055, 982, 519, 20466, 26462, 269, 2991, 782, 267, 606, 14732, 7671, 945, 5030, 1522, 723, 1044, 513, 3787, 13347, 693, 519, 10656, 1004, 945, 267, 2687, 547, 519, 3056, 3069, 267, 5828, 538, 1200, 7622, 543, 4607, 513, 8007, 540, 5111, 1269, 272, 269, 2412, 829, 4035, 269, 1323, 14732, 7671, 945, 5030, 1522, 711, 723, 4941, 547, 2099, 968, 1492, 1453, 540, 519, 1158, 2223, 3226, 2094, 865, 1454, 540, 1200, 19701, 568, 840, 31039, 609, 513, 26525, 5418, 320, 547, 581, 3144, 12517, 23121, 711, 581, 9228, 607, 513, 1126, 269, 4107, 540, 782, 267, 606, 14732, 7671, 945, 5030, 1522, 723, 5143, 1004, 827, 1018, 1352, 4718, 693, 654, 6856, 321, 1251, 267, 26401, 543, 19161, 523, 5174, 1564, 523, 267, 543, 1004, 1522, 711, 723, 17329, 1018, 1352, 1185, 547, 2161, 563, 5445, 1705, 711, 26250, 721, 267, 6862, 1705, 789, 12837, 282, 789, 8604, 31345, 711, 1152, 676, 8296, 855, 676, 513, 11821, 27047, 842, 267, 799, 20177, 741, 17534, 543, 3808, 741, 4064, 547, 519, 1187, 699, 531, 6429, 269, 898, 729, 602, 17847, 649, 6785, 865, 1134, 267, 519, 17847, 602, 546, 27547, 721, 1310, 519, 25926, 267, 543, 1169, 942, 649, 1185, 547, 4585, 267, 610, 10505, 547, 267, 930, 30891, 281, 519, 17847, 519, 16586, 1705, 711, 917, 267, 602, 519, 1175, 812, 2833, 693, 1776, 812, 781, 6760, 282, 519, 4743, 540, 16203, 602, 971, 513, 6760, 1058, 2291, 267, 602, 621, 1058, 723, 1044, 5189, 9048, 22106, 2406, 883, 519, 1158, 540, 1919, 602, 2291, 267, 543, 602, 1010, 786, 585, 1434, 1058, 723, 9863, 1932, 4617, 610, 14275, 267, 543, 1058, 711, 723, 1992, 539, 538, 20237, 563, 5278, 540, 519, 1034, 29200, 10553, 11668, 13122, 3769, 513, 3060, 540, 23658, 10102, 269, 24162, 7304, 4923, 1185, 476, 1911, 23658, 10102, 267, 26401, 1185, 476, 4510, 23658, 10102, 267, 853, 583, 628, 1993, 1185, 476, 2412, 1016, 2275, 10102, 1305, 909, 20314, 1836, 269, 29277, 619, 538, 891, 23658, 10102, 941, 12955, 689, 27781, 267, 15860, 2068, 543, 5758, 4291, 1903, 676, 519, 9937, 540, 5215, 2907, 2094, 519, 4098, 540, 2112, 269, 0, 1432, 4523, 950, 596, 2268, 606, 4346, 286, 1215, 1281, 6482, 1764, 3609, 286, 769, 17578, 731, 558, 540, 2672, 11797, 267, 7276, 540, 11870, 338, 6424, 667, 5535, 20781, 547, 891, 3376, 2055, 676, 3168, 693, 519, 3498, 543, 7096, 4539, 540, 8579, 6482, 547, 519, 32066, 4346, 538, 6576, 267, 689, 519, 22733, 2540, 547, 519, 6406, 2782, 269, 27819, 782, 2090, 540, 6576, 1118, 4704, 547, 519, 2244, 28286, 618, 267, 610, 834, 333, 12818, 2437, 607, 513, 2268, 540, 32066, 8171, 269, 901, 568, 519, 1101, 960, 6313, 519, 8129, 540, 519, 562, 12818, 267, 875, 8579, 6482, 10736, 621, 883, 513, 2413, 1303, 1856, 618, 267, 543, 875, 621, 29600, 519, 1533, 286, 701, 9586, 2078, 269, 8092, 267, 667, 5535, 13187, 267, 729, 1272, 7790, 27998, 2877, 621, 543, 519, 1533, 267, 1034, 3025, 5156, 267, 1185, 606, 17185, 547, 1683, 621, 269, 634, 2243, 267, 2705, 267, 729, 875, 1454, 2244, 729, 2614, 269, 10803, 13859, 519, 2626, 855, 849, 19526, 3609, 24237, 543, 2486, 883, 513, 1880, 1259, 540, 7487, 27998, 543, 741, 4346, 269, 4634, 519, 10504, 781, 3803, 3801, 547, 6963, 519, 32066, 4346, 1310, 476, 5002, 276, 7283, 19526, 1369, 519, 2025, 12512, 7121, 540, 519, 562, 12818, 269, 18926, 6482, 22541, 267, 2864, 982, 18604, 267, 519, 562, 12818, 607, 513, 7121, 540, 32066, 2804, 8171, 971, 602, 621, 30174, 3564, 476, 4489, 278, 883, 519, 2038, 1296, 540, 8168, 1379, 269, 9122, 593, 31150, 2959, 543, 6917, 5646, 15078, 262, 8579, 2090, 267, 17578, 731, 558, 540, 2672, 11797, 267, 7276, 540, 11870, 338, 2982, 875, 519, 1533, 9112, 1312, 606, 3239, 543, 513, 2268, 540, 32066, 8171, 689, 799, 621, 1223, 711, 9101, 267, 543, 875, 519, 25739, 8226, 602, 27998, 941, 13886, 547, 513, 6190, 28286, 618, 2968, 513, 2101, 21677, 547, 3811, 989, 337, 4115, 6963, 563, 347, 21812, 10573, 18250, 294, 650, 268, 20075, 839, 2160, 4964, 2008, 347, 292, 1288, 6609, 10573, 274, 6113, 1196, 8198, 19064, 6055, 7516, 10573, 277, 269, 876, 26028, 264, 1535, 476, 280, 269, 876, 22607, 264, 1535, 476, 272, 269, 1789, 5560, 10245, 10666, 519, 8191, 454, 21837, 654, 269, 667, 5535, 568, 12314, 7548, 540, 1686, 693, 519, 2160, 540, 4303, 2023, 563, 8368, 540, 12937, 454, 288, 8074, 827, 25927, 725, 267, 25927, 3438, 725, 267, 543, 667, 919, 1535, 13839, 454, 7072, 281, 634, 1715, 8092, 2353, 582, 618, 28673, 267, 519, 1715, 26874, 19004, 476, 274, 454, 272, 17553, 519, 2776, 1027, 550, 281, 634, 3557, 540, 2672, 11797, 476, 1240, 454, 273, 5395, 325, 661, 2006, 322, 11692, 281, 5842, 551, 4328, 519, 11870, 539, 715, 12818, 267, 25732, 4706, 2672, 11797, 476, 7918, 454, 274, 16453, 1944, 519, 715, 12818, 543, 3212, 9586, 19004, 281, 3778, 543, 2098, 655, 560, 17383, 10803, 476, 11463, 454, 275, 834, 31863, 257, 5600, 9302, 281, 9483, 4886, 543, 519, 5664, 3212, 9586, 476, 14530, 454, 276, 853, 565, 2988, 514, 781, 654, 4526, 593, 519, 5664, 281, 8092, 11870, 338, 543, 834, 22296, 11797, 257, 476, 13679, 454, 277, 8092, 11870, 338, 607, 4317, 10456, 538, 7169, 267, 6406, 2782, 267, 543, 15332, 476, 20969, 454, 6962, 281, 634, 22684, 540, 5395, 325, 3256, 543, 6431, 14571, 540, 519, 2672, 2310, 715, 12818, 476, 26237, 0, 12218, 2305, 1315, 18780, 454, 13349, 4408, 1923, 14271, 11618, 1923, 18280, 690, 540, 674, 8460, 630, 2102, 1421, 838, 4700, 1923, 594, 2316, 306, 1923, 3213, 299, 1923, 654, 334, 305, 5960, 1923, 1849, 4752, 320, 454, 8002, 514, 641, 6670, 326, 4512, 630, 2001, 1922, 514, 2740, 24991, 264, 3436, 7261, 1440, 514, 16599, 6134, 525, 454, 27562, 643, 592, 1149, 267, 6146, 604, 8460, 543, 2661, 581, 31600, 264, 3436, 681, 643, 592, 13160, 454, 292, 22029, 281, 6491, 839, 281, 3245, 519, 5824, 6491, 839, 267, 2495, 31394, 267, 538, 4704, 547, 519, 3352, 1938, 1417, 2681, 3270, 2059, 24725, 543, 1387, 1710, 13279, 538, 9038, 630, 8269, 269, 476, 279, 7176, 3607, 1916, 5319, 1444, 281, 2113, 24586, 1315, 2916, 7997, 1315, 3178, 2039, 1315, 3892, 2039, 454, 293, 3306, 4248, 282, 536, 5460, 641, 601, 20723, 269, 23427, 454, 21026, 3013, 281, 17897, 531, 561, 6210, 976, 538, 519, 6360, 680, 1622, 540, 519, 2539, 7638, 1372, 5211, 267, 513, 1318, 29815, 776, 540, 519, 1647, 590, 14244, 12770, 5211, 538, 8478, 563, 23917, 1315, 13379, 1315, 6520, 454, 300, 4405, 640, 281, 700, 332, 1109, 286, 1109, 2039, 7790, 910, 7790, 4699, 454, 16655, 3259, 2433, 476, 275, 269, 272, 4699, 20793, 5256, 270, 684, 16303, 539, 282, 630, 8269, 269, 476, 279, 7176, 3607, 994, 300, 6973, 1108, 1923, 5651, 874, 6248, 338, 454, 7809, 12345, 281, 476, 1240, 910, 476, 2537, 3248, 19723, 974, 3630, 324, 281, 476, 3066, 910, 476, 1789, 269, 31692, 1639, 689, 782, 824, 2249, 540, 519, 670, 269, 7657, 3821, 644, 9850, 1895, 267, 4849, 670, 269, 1368, 534, 3711, 328, 267, 676, 2348, 2110, 2083, 14613, 593, 519, 24725, 543, 1387, 27634, 538, 9038, 267, 8757, 18751, 3791, 540, 1309, 644, 531, 1710, 630, 341, 338, 269, 8757, 17911, 851, 540, 1309, 644, 531, 1710, 610, 20546, 532, 922, 17911, 14345, 1070, 543, 689, 782, 1346, 2249, 4849, 670, 269, 7657, 3821, 644, 9850, 676, 2348, 8792, 3109, 9634, 267, 4130, 982, 20194, 267, 593, 519, 8998, 540, 519, 1166, 1678, 543, 17911, 851, 540, 519, 1309, 644, 531, 7895, 684, 2193, 538, 8951, 630, 341, 338, 269, 2141, 3677, 982, 20194, 1040, 634, 1739, 4999, 540, 3197, 666, 581, 3730, 547, 13209, 689, 824, 2818, 540, 519, 1950, 281, 476, 1321, 268, 1428, 15454, 13063, 593, 1166, 1678, 538, 9038, 282, 1560, 3178, 476, 2412, 269, 276, 268, 6246, 269, 271, 260, 20793, 282, 1309, 644, 531, 7895, 684, 2193, 3178, 476, 1428, 269, 278, 268, 1704, 269, 274, 260, 20793, 282, 840, 1673, 832, 531, 3259, 538, 9038, 476, 4366, 269, 272, 268, 7367, 269, 274, 260, 20793, 282, 840, 1790, 601, 17771, 3259, 538, 9038, 476, 5379, 269, 277, 268, 4366, 269, 275, 260, 20793, 282, 24725, 1922, 514, 3490, 538, 9038, 476, 4391, 269, 271, 268, 4375, 269, 274, 260, 20793, 282, 1387, 1922, 514, 3490, 538, 9038, 476, 3374, 269, 280, 268, 4343, 269, 280, 260, 20793, 282, 2212, 8700, 476, 6795, 269, 277, 268, 4792, 269, 280, 260, 540, 2212, 3259, 538, 9038, 267, 476, 6795, 269, 275, 268, 4792, 269, 276, 260, 538, 8951, 282, 543, 3750, 8006, 476, 1839, 269, 273, 268, 2764, 269, 271, 260, 540, 2212, 3259, 630, 8269, 269, 476, 279, 7176, 3607, 1916, 28062, 538, 12119, 561, 6210, 976, 630, 8269, 269, 476, 279, 7176, 3607, 1916, 16908, 4783, 543, 20282, 2623, 454, 300, 4405, 640, 1923, 3115, 3174, 1923, 1975, 27681, 1923, 28096, 1923, 674, 1815, 1495, 640, 1923, 30038, 15611, 454, 21798, 320, 267, 654, 12282, 9950, 8160, 1421, 623, 12171, 269, 2549, 528, 574, 543, 808, 11482, 269, 20917, 657, 267, 476, 1001, 273, 269, 15661, 1642, 574, 2787, 538, 5993, 6146, 604, 8460, 689, 519, 19384, 6970, 908, 320, 267, 519, 14523, 18030, 321, 5362, 7657, 3821, 644, 9850, 1950, 630, 24426, 1440, 514, 6134, 525, 281, 681, 643, 592, 13160, 2567, 6286, 585, 30953, 543, 5726, 269, 3590, 18267, 543, 26085, 476, 1015, 263, 272, 2567, 10170, 268, 11011, 269, 630, 8269, 269, 476, 279, 7176, 3607, 994, 296, 30002, 4414, 5903, 21073, 630, 8269, 269, 476, 15686, 27183, 994, 290, 3951, 2464, 630, 8269, 269, 476, 12893, 280, 6078, 994, 1320, 805, 547, 3425, 454, 13349, 4408, 26239, 11618, 18404, 29440, 303, 1042, 2209, 292, 20799, 16464, 1108, 11847, 3174, 300, 4405, 640, 8967, 27681, 8967, 27681, 30843, 293, 1815, 1495, 640, 292, 1375, 338, 292, 1375, 1646, 454, 27066, 288, 638, 20628, 288, 638, 20628, 9043, 1805, 23230, 7049, 7497, 2704, 548, 548, 12451, 15463, 527, 1464, 291, 1047, 1162, 3682, 22422, 22709, 7503, 454, 15307, 23660, 540, 930, 3601, 1759, 593, 3631, 454, 303, 17222, 21925, 4763, 4994, 630, 8269, 269, 476, 279, 2764, 4962, 454, 284, 476, 271, 269, 4335, 271, 1496, 4462, 21348, 267, 689, 476, 271, 269, 276, 815, 1970, 547, 476, 273, 269, 271, 815, 1164, 14073, 29074, 14198, 3259, 27954, 281, 513, 284, 271, 269, 25171, 4817, 630, 271, 269, 27947, 6187, 910, 476, 271, 269, 271, 6246, 4817, 1070, 536, 284, 274, 269, 4905, 630, 273, 269, 10695, 910, 476, 274, 269, 866, 1070, 538, 4699, 11192, 20099, 267, 1759, 593, 782, 700, 29949, 9193, 585, 713, 1560, 3337, 630, 8269, 269, 476, 280, 3953, 3393, 454, 307, 13116, 5426, 630, 8269, 269, 476, 7597, 273, 4281, 454, 2567, 476, 274, 269, 273, 13008, 271, 269, 275, 694, 282, 9122, 593, 2450, 543, 512, 5268, 338, 540, 14191, 14077, 454, 4910, 559, 1466, 630, 8269, 269, 476, 7597, 273, 4281, 454, 2567, 4400, 267, 5934, 2551, 30945, 942, 1447, 982, 476, 1428, 3275, 630, 7093, 14083, 918, 610, 674, 1815, 1495, 640, 28593, 309, 592, 1676, 1464, 630, 8269, 269, 476, 6795, 272, 7871, 454, 2567, 8899, 13438, 630, 1015, 540, 476, 1911, 264, 1547, 0, 10387, 6160, 2305, 540, 3170, 786, 711, 2049, 538, 519, 9000, 540, 454, 6357, 264, 23925, 20919, 454, 6262, 264, 23925, 23416, 454, 5560, 264, 25524, 10433, 454, 6357, 264, 645, 850, 568, 513, 1216, 344, 3039, 880, 5714, 5627, 23925, 20919, 267, 23925, 23416, 267, 8501, 543, 8485, 30649, 573, 269, 645, 850, 20919, 1404, 606, 1271, 1909, 538, 12536, 540, 9600, 269, 4475, 538, 741, 9000, 900, 6160, 2305, 540, 3170, 3112, 1491, 1747, 269, 0, 2005, 779, 606, 2079, 2203, 540, 513, 645, 297, 307, 269, 3117, 1235, 540, 513, 7008, 540, 1019, 3941, 543, 1699, 2959, 269, 634, 24488, 6724, 616, 2016, 585, 513, 1880, 3926, 269, 25294, 3148, 543, 865, 711, 3730, 630, 517, 922, 1378, 264, 585, 513, 9501, 21201, 2203, 269, 3040, 634 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 2810, 2179, 540, 6075, 543, 824, 1644, 1239, 568, 4543, 3549, 547, 2087, 741, 6075, 1995, 543, 1683, 1732, 6075, 3028, 269, 14992, 616, 27126, 1239, 689, 1585, 5867, 1519, 1514, 2923, 267, 6075, 2078, 2359, 1949, 630, 10135, 300, 1070, 1289, 20743, 267, 3092, 269, 547, 1205, 606, 5813, 883, 741, 5561, 269, 28968, 945, 666, 946, 713, 1239, 547, 17589, 4030, 543, 948, 3549, 1118, 1732, 946, 540, 713, 1239, 616, 538, 3747, 267, 855, 616, 538, 8650, 17732, 563, 1607, 2488, 606, 4316, 585, 10509, 4648, 607, 1134, 607, 14987, 547, 1376, 513, 4876, 538, 8262, 4578, 269, 1656, 609, 29988, 23269, 543, 15792, 2208, 3255, 267, 8262, 4578, 4876, 568, 513, 1100, 1532, 1778, 518, 3903, 585, 20021, 3168, 547, 7832, 593, 513, 10509, 4876, 563, 1432, 568, 8262, 4578, 888, 306, 22066, 543, 11636, 3906, 723, 16941, 593, 1239, 585, 3375, 1818, 585, 513, 1279, 942, 269, 1717, 267, 538, 519, 2250, 1906, 1296, 267, 519, 2179, 540, 1239, 6383, 676, 3906, 814, 1044, 796, 19960, 514, 2406, 5458, 1813, 547, 519, 21774, 540, 519, 4950, 543, 5985, 6049, 538, 3232, 1272, 269, 901, 3340, 3549, 547, 16491, 2933, 609, 1239, 1949, 602, 666, 3950, 1169, 6075, 2534, 543, 2594, 873, 267, 11423, 1949, 609, 4620, 17879, 5052, 540, 1239, 563, 16391, 3074, 616, 1210, 7856, 4859, 1949, 547, 4558, 713, 1239, 269, 1306, 519, 1297, 540, 1239, 4679, 267, 3549, 666, 1039, 1007, 6106, 540, 1949, 269, 901, 2636, 873, 8112, 543, 519, 8897, 547, 4336, 741, 4238, 269, 30551, 1949, 666, 2417, 7500, 593, 7856, 1949, 543, 7520, 6252, 4393, 269, 769, 2241, 1913, 267, 8262, 4578, 568, 513, 2594, 540, 6075, 2238, 602, 2154, 7856, 4859, 543, 6252, 4393, 563, 19136, 4578, 2029, 454, 2026, 513, 8262, 4578, 3318, 267, 596, 616, 4397, 547, 1451, 513, 13708, 583, 540, 4066, 269, 3371, 616, 930, 10850, 596, 616, 4397, 547, 917, 269, 901, 568, 711, 513, 1279, 1592, 267, 865, 1745, 1863, 547, 1039, 824, 2645, 543, 4066, 563, 19136, 4578, 15753, 3311, 454, 272, 269, 28833, 670, 5964, 641, 1107, 901, 568, 513, 1455, 5943, 585, 6252, 1239, 4393, 543, 7856, 1239, 4859, 563, 273, 269, 28833, 27910, 1107, 901, 568, 1776, 6252, 1239, 4393, 5943, 454, 274, 269, 28833, 918, 2378, 6390, 1107, 901, 568, 513, 6908, 4393, 5943, 454, 275, 269, 28833, 18706, 18588, 1107, 901, 568, 513, 7856, 3143, 21415, 6538, 2359, 1062, 563, 22998, 609, 8262, 4578, 3340, 1702, 540, 513, 1906, 5752, 4654, 2443, 454, 22998, 609, 8262, 4578, 3340, 1702, 540, 5752, 269, 1306, 513, 19444, 538, 8262, 4578, 267, 596, 616, 4397, 547, 1174, 519, 3017, 1851, 5752, 26336, 2443, 3616, 541, 894, 267, 16122, 5752, 267, 543, 10934, 21079, 26336, 563, 268, 14087, 894, 5752, 1107, 901, 568, 519, 1935, 1141, 12981, 1058, 581, 1459, 547, 1689, 922, 1533, 269, 7982, 754, 5752, 568, 513, 3119, 1383, 540, 713, 1935, 269, 10084, 267, 5124, 543, 824, 1394, 754, 5752, 4654, 946, 713, 1935, 563, 268, 13207, 541, 894, 5752, 1107, 901, 568, 519, 1935, 1141, 4247, 616, 10294, 609, 519, 4397, 3977, 269, 901, 1935, 568, 1455, 538, 5752, 4654, 899, 14069, 563, 268, 10934, 21079, 17565, 1107, 901, 2636, 6252, 4393, 540, 7856, 1239, 269, 4635, 713, 1935, 6087, 1239, 19003, 267, 18570, 267, 9936, 1436, 267, 543, 9034, 1436, 540, 954, 574, 2164, 1210, 2569, 1599, 563, 19136, 4578, 6009, 454, 19136, 4578, 568, 606, 30140, 1804, 2361, 609, 513, 30162, 540, 2816, 3681, 269, 15019, 5107, 538, 713, 2361, 1331, 2443, 454, 272, 269, 4578, 8890, 7370, 1107, 901, 606, 7127, 7400, 1909, 602, 3340, 3946, 6823, 1995, 593, 519, 2645, 5018, 1657, 269, 16200, 6310, 543, 10763, 19038, 3363, 568, 2838, 585, 713, 1909, 563, 273, 269, 4578, 12207, 1107, 1452, 616, 519, 1034, 8179, 4648, 269, 1358, 2154, 2178, 1966, 9010, 1983, 543, 538, 3829, 1702, 540, 12642, 267, 3684, 1565, 267, 543, 811, 563, 268, 4578, 11629, 338, 1107, 1452, 616, 16413, 540, 1239, 5989, 543, 1413, 1310, 12240, 543, 2327, 789, 616, 10512, 693, 782, 2053, 543, 8639, 4309, 1239, 607, 543, 950, 2838, 563, 268, 18482, 9946, 1107, 1358, 10891, 543, 2226, 12240, 540, 3906, 269, 21093, 3323, 538, 513, 8262, 4578, 19396, 454, 20779, 663, 585, 8262, 4578, 4648, 538, 519, 2872, 814, 1044, 7683, 3395, 267, 3056, 547, 606, 2333, 538, 2228, 6030, 543, 2462, 1239, 24501, 5001, 269, 2368, 6030, 2709, 513, 1259, 547, 2736, 883, 519, 2872, 585, 4195, 20021, 267, 1866, 2709, 513, 10375, 543, 8465, 1259, 547, 1451, 693, 1753, 585, 19023, 10509, 4648, 543, 5912, 547, 513, 8262, 4578, 4876, 563, 1103, 513, 2428, 9917, 961, 267, 8262, 4578, 24501, 616, 2139, 585, 4896, 945, 568, 14971, 547, 1118, 513, 5912, 269, 1403, 596, 2461, 2907, 538, 513, 8262, 4578, 4876, 267, 1283, 8262, 4578, 24501, 786, 1039, 811, 1871, 547, 707, 1995, 269, 2368, 2442, 24501, 538, 519, 8262, 4578, 2872, 1331, 667, 3008, 7563, 267, 1849, 537, 1457, 320, 267, 667, 749, 661, 10157, 267, 1851, 1866, 563, 12234, 267, 585, 4195, 20021, 13197, 513, 4487, 779, 1982, 693, 9945, 568, 513, 1434, 1900, 269, 9457, 779, 3292, 4043, 547, 581, 1279, 543, 666, 1491, 909, 547, 476, 273, 1296, 547, 9096, 269, 589, 1906, 9945, 723, 849, 2097, 909, 609, 513, 20277, 779, 1982, 538, 8262, 4578, 267, 3168, 693, 519, 17732, 540, 8262, 4578, 4648, 563, 19136, 4578, 11678, 616, 14785, 538, 2474, 540, 14057, 543, 3255, 5001, 269, 1306, 519, 2361, 568, 1631, 16565, 519, 1318, 1305, 540, 1983, 543, 3407, 22754, 585, 8810, 6791, 2337, 547, 1847, 6619, 538, 519, 4876, 269, 0, 1692, 1279, 1223, 596, 1832, 513, 5728, 286, 590, 4869, 344, 1296, 888, 1607, 568, 513, 3020, 1650, 827, 513, 8370, 4458, 6040, 8004, 3957, 25845, 26186, 603, 338, 945, 4718, 4023, 625, 910, 6263, 2367, 267, 21039, 782, 538, 3039, 910, 676, 519, 1216, 6420, 3297, 1200, 2777, 538, 4789, 269, 6764, 6372, 267, 596, 2161, 286, 2334, 779, 1175, 1018, 1200, 3237, 1767, 269, 1809, 25845, 779, 19939, 4458, 6040, 23013, 661, 3149, 773, 19159, 4941, 547, 6961, 25845, 779, 1650, 269, 2701, 13556, 1957, 4023, 625, 543, 13227, 1117, 873, 269, 3973, 1352, 3576, 6337, 6029, 519, 6690, 15025, 609, 519, 546, 664, 1399, 13617, 539, 7068, 538, 519, 14860, 3297, 661, 3149, 773, 779, 2777, 269, 769, 519, 2395, 950, 10344, 729, 606, 10867, 2029, 543, 1279, 1354, 972, 729, 26598, 267, 661, 3149, 773, 3812, 930, 1360, 20310, 11147, 563, 763, 6690, 2760, 5921, 547, 18174, 519, 1158, 267, 855, 4166, 661, 3149, 773, 779, 11147, 8593, 883, 519, 3946, 540, 11184, 14880, 1230, 534, 667, 1195, 548, 267, 17082, 540, 519, 1158, 779, 1034, 4583, 19792, 267, 15593, 6674, 29385, 269, 11184, 14880, 267, 899, 25845, 267, 5156, 538, 4023, 625, 267, 543, 538, 476, 4572, 271, 646, 3370, 519, 11147, 538, 519, 4922, 268, 1224, 853, 8681, 12139, 543, 5206, 602, 646, 5156, 789, 941, 598, 5477, 6169, 540, 519, 6228, 540, 4023, 625, 269, 2991, 4966, 10294, 519, 5961, 9758, 543, 667, 1195, 548, 779, 2376, 7902, 267, 2621, 4166, 3303, 4705, 856, 540, 1852, 543, 3366, 547, 513, 7242, 602, 16768, 811, 982, 476, 2568, 1296, 454, 27746, 700, 3837, 6799, 519, 6678, 337, 16226, 3020, 1650, 540, 713, 11876, 1314, 538, 513, 535, 4545, 3814, 267, 2143, 2239, 5312, 1782, 875, 519, 3510, 15583, 730, 543, 267, 607, 942, 4682, 593, 267, 875, 811, 1004, 2968, 13948, 543, 20019, 16539, 267, 1818, 621, 7543, 585, 519, 6690, 547, 2097, 2973, 269, 700, 3837, 14425, 10385, 593, 519, 10419, 21116, 607, 1134, 607, 741, 3841, 592, 748, 1857, 563, 763, 1433, 2882, 10063, 2388, 540, 519, 18912, 6337, 267, 3850, 3988, 547, 1294, 4010, 1018, 1004, 693, 519, 942, 4718, 267, 2059, 609, 5892, 10002, 21242, 12400, 543, 2592, 689, 519, 1920, 779, 21517, 269, 901, 7415, 3020, 1650, 3091, 513, 4241, 6514, 540, 1480, 2470, 267, 13031, 938, 10419, 783, 22906, 609, 519, 16750, 543, 6029, 875, 1256, 10995, 267, 7986, 1004, 899, 11184, 14880, 1230, 534, 667, 1195, 548, 666, 22426, 513, 2178, 7287, 547, 3494, 538, 519, 31305, 543, 1577, 2933, 581, 18174, 539, 269, 700, 3837, 6770, 12667, 569, 547, 1272, 835, 540, 6574, 11876, 31320, 540, 782, 942, 267, 835, 602, 30347, 623, 11053, 269, 4446, 11133, 779, 13927, 329, 2465, 544, 1069, 4660, 543, 2107, 5459, 4270, 525, 779, 2782, 540, 519, 2622, 338, 19343, 13739, 563, 18800, 539, 676, 2433, 590, 592, 569, 454, 763, 6996, 2433, 17628, 299, 13263, 269, 674, 9590, 6020, 2464, 269, 590, 16810, 2207, 2793, 307, 7838, 3201, 563, 31304, 23154, 22743, 12717, 14408, 2839, 454, 268, 634, 7415, 267, 3020, 1650, 540, 513, 18912, 11876, 1314, 6707, 10419, 3603, 676, 1079, 1762, 6690, 538, 519, 2038, 476, 5002, 271, 338, 3091, 513, 4241, 6514, 540, 1480, 2470, 563, 268, 1323, 10578, 19214, 883, 513, 8666, 1673, 24934, 1681, 29317, 1134, 1354, 519, 4417, 540, 26598, 563, 9281, 9358, 700, 10976, 292, 24199, 21398, 10498, 267, 8946, 2894, 13138, 312, 912, 306, 2559, 10045, 267, 14472, 531, 2106, 269, 654, 9662, 281, 634, 25999, 6936, 26626, 540, 28155, 538, 30561, 269, 2817, 22127, 5753, 267, 476, 1001, 272, 563, 10111, 14752, 267, 4432, 13453, 269, 10552, 593, 519, 5211, 281, 6276, 16011, 476, 8182, 278, 269, 25655, 19565, 267, 476, 1220, 277, 269, 0, 2704, 32039, 2670, 1323, 1271, 3959, 540, 1973, 568, 922, 4110, 540, 23639, 610, 30175, 6541, 269, 634, 23639, 610, 30175, 6541, 540, 1022, 3070, 267, 1519, 1973, 267, 568, 8612, 593, 519, 9063, 4336, 563, 10907, 1749, 9243, 1125, 13279, 538, 513, 9243, 1436, 5114, 269, 589, 6070, 568, 1022, 25617, 7623, 602, 1223, 581, 1500, 609, 519, 606, 542, 540, 606, 3679, 543, 519, 524, 566, 540, 513, 3490, 269, 634, 7250, 9357, 540, 519, 3679, 543, 519, 28355, 9357, 540, 519, 3490, 26595, 547, 1106, 1216, 563, 10907, 1749, 30599, 1372, 3742, 8407, 269, 3600, 1749, 2490, 4544, 1396, 16443, 547, 2699, 269, 22175, 16443, 568, 835, 540, 513, 1804, 1297, 540, 5214, 7135, 602, 1689, 4778, 950, 513, 3070, 2242, 23639, 693, 513, 1880, 1448, 563, 299, 527, 16443, 568, 519, 9510, 1634, 9063, 13525, 269, 898, 568, 2699, 538, 3679, 543, 4544, 538, 3490, 563, 299, 527, 16443, 1281, 711, 1689, 2681, 4010, 693, 519, 9243, 1448, 1063, 3679, 543, 3490, 267, 855, 1360, 2673, 547, 621, 269, 28397, 17064, 571, 583, 568, 11877, 22648, 267, 22648, 12873, 538, 922, 1378, 25496, 561, 12519, 3679, 563, 7212, 512, 8463, 7181, 3679, 568, 711, 16990, 267, 621, 814, 519, 11877, 6492, 540, 3679, 269, 3600, 2045, 3679, 568, 519, 3679, 12146, 538, 16693, 269, 13022, 6350, 5613, 971, 607, 19790, 976, 267, 18812, 26258, 267, 24453, 267, 543, 561, 1307, 723, 3632, 878, 3679, 538, 519, 10433, 563, 306, 712, 5144, 267, 11877, 8645, 267, 18506, 267, 737, 574, 14024, 267, 543, 32119, 10381, 723, 561, 12519, 3679, 689, 519, 18829, 540, 519, 4006, 26178, 269, 16544, 2986, 645, 1162, 645, 1162, 5305, 513, 28355, 9357, 883, 1216, 3070, 563, 289, 1162, 9243, 1125, 7408, 538, 513, 9243, 1436, 5114, 269, 634, 2262, 910, 5114, 568, 281, 18729, 7132, 3490, 2306, 1216, 7132, 513, 6070, 563, 1607, 6589, 585, 519, 834, 16435, 2089, 2044, 257, 4743, 593, 3946, 950, 6534, 547, 3490, 269, 16200, 13279, 602, 23271, 538, 1216, 1134, 267, 971, 607, 9770, 610, 11379, 561, 6614, 616, 1360, 5906, 1317, 513, 1390, 2179, 540, 519, 7293, 1570, 540, 1480, 7919, 568, 1500, 540, 3940, 269, 5395, 1190, 3441, 547, 17145, 666, 581, 14284, 676, 6297, 946, 540, 2178, 13279, 563, 289, 1162, 2490, 2699, 1396, 16443, 547, 4544, 269, 29619, 540, 3600, 1749, 1299, 645, 1162, 3848, 11929, 27491, 269, 7994, 707, 4267, 547, 519, 2055, 543, 4945, 1412, 9202, 262, 547, 1294, 519, 1985, 1305, 540, 2055, 269, 1411, 666, 18178, 2055, 952, 596, 1131, 899, 543, 2097, 1394, 269, 634, 11066, 3069, 540, 7408, 543, 13279, 2829, 602, 7408, 957, 607, 6475, 6292, 3398, 832, 543, 13279, 957, 607, 6475, 6292, 22881, 563, 1607, 4214, 3085, 1405, 2446, 4376, 827, 519, 7250, 11046, 693, 1547, 2353, 6168, 26678, 3600, 1749, 543, 645, 1162, 269, 1635, 24138, 12448, 338, 269, 9523, 269, 2334, 949 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2094, 519, 1843, 568, 3478, 1100, 6251, 547, 713, 3844, 1448, 2094, 519, 8953, 722, 490, 337, 587, 490, 568, 6378, 269, 6056, 540, 1298, 686, 7065, 531, 10231, 607, 513, 1863, 1922, 718, 538, 799, 972, 568, 1100, 8594, 540, 519, 1843, 18644, 519, 2666, 267, 1317, 519, 3196, 5373, 519, 1843, 4724, 621, 630, 17141, 8904, 264, 568, 4010, 15558, 676, 519, 8126, 1113, 630, 15035, 264, 10231, 4330, 676, 519, 1101, 3830, 538, 713, 3296, 269, 1403, 722, 490, 659, 587, 490, 941, 711, 3160, 547, 722, 490, 320, 587, 490, 267, 519, 1843, 1131, 2901, 8038, 1055, 883, 2230, 610, 4166, 16154, 883, 519, 1647, 540, 519, 5858, 780, 1012, 13565, 10829, 885, 543, 25285, 692, 7212, 16070, 6991, 568, 2356, 6829, 267, 607, 7074, 267, 538, 32494, 829, 2034, 267, 972, 949, 581, 8320, 538, 799, 621, 568, 30074, 610, 2556, 547, 946, 5232, 829, 2034, 3079, 267, 610, 598, 14287, 267, 547, 6460, 689, 5232, 547, 32494, 1354, 6061, 513, 1966, 780, 306, 599, 596, 941, 5143, 602, 513, 1769, 2707, 29226, 998, 476, 3445, 4113, 1169, 2034, 693, 513, 3586, 6991, 269, 1548, 568, 922, 16070, 6991, 538, 32494, 2496, 5575, 267, 3314, 602, 476, 273, 11027, 32494, 815, 476, 11740, 4113, 267, 543, 1305, 909, 513, 8167, 1384, 21702, 346, 11740, 2410, 273, 19570, 18098, 2765, 346, 3445, 7346, 18652, 4153, 574, 18680, 476, 11740, 315, 18652, 815, 5197, 19570, 315, 574, 18680, 1422, 18652, 31386, 2765, 3189, 7032, 2410, 273, 10926, 2252, 596, 941, 2417, 5143, 602, 519, 1769, 11237, 814, 513, 2039, 540, 476, 1015, 7397, 267, 1018, 1131, 581, 519, 9133, 540, 519, 11237, 781, 5276, 6991, 722, 490, 341, 587, 490, 267, 922, 16070, 10231, 722, 490, 10382, 587, 490, 543, 922, 1298, 686, 7065, 531, 10231, 722, 490, 659, 587, 490, 2496, 2414, 4194, 585, 722, 490, 341, 587, 490, 267, 689, 1657, 267, 642, 815, 28911, 337, 267, 1141, 28911, 815, 12631, 270, 273, 543, 678, 815, 476, 1015, 332, 1384, 21702, 3189, 7032, 2410, 273, 348, 476, 1015, 284, 1428, 269, 278, 20728, 346, 544, 4882, 10926, 2414, 1265, 722, 490, 10382, 587, 490, 267, 8263, 519, 16070, 3432, 568, 6603, 538, 476, 272, 2034, 267, 1287, 1384, 263, 9616, 602, 713, 1152, 1568, 585, 2042, 538, 799, 519, 16070, 6991, 568, 3586, 24355, 7661, 267, 849, 689, 1657, 10484, 320, 6831, 7807, 2765, 28452, 317, 273, 2410, 337, 18098, 2765, 346, 1428, 269, 278, 317, 273, 2410, 1015, 13157, 2190, 269, 4792, 20728, 346, 544, 4882, 11892, 273, 692, 1012, 4911, 983, 20653, 6290, 5288, 269, 12430, 20653, 6290, 692, 19465, 593, 519, 3105, 1966, 267, 4952, 3054, 593, 513, 1360, 1804, 5789, 787, 30559, 15778, 267, 835, 609, 606, 12691, 8953, 540, 476, 1015, 12919, 630, 1015, 267, 1822, 7397, 1040, 901, 5789, 787, 30559, 15778, 2306, 835, 2347, 4838, 1169, 476, 272, 8792, 543, 476, 2412, 7643, 267, 610, 1169, 476, 1911, 7643, 780, 3080, 12343, 540, 519, 3017, 1063, 16070, 6991, 267, 799, 568, 4830, 540, 519, 3845, 689, 519, 7852, 540, 10047, 267, 543, 5276, 9764, 6991, 267, 799, 568, 711, 267, 568, 602, 1079, 1004, 7680, 519, 1482, 722, 490, 22886, 587, 490, 949, 581, 18460, 27723, 1114, 2168, 2833, 269, 1403, 596, 4755, 547, 581, 476, 272, 11281, 689, 519, 4099, 952, 713, 2322, 894, 267, 7372, 5789, 787, 30559, 15778, 267, 707, 5276, 630, 339, 836, 1113, 264, 6991, 568, 1384, 341, 7807, 18652, 678, 815, 1422, 2765, 346, 273, 19570, 2410, 1911, 12917, 272, 6661, 271, 269, 6187, 273, 279, 20728, 346, 544, 4882, 10926, 528, 476, 277, 269, 3066, 4699, 630, 1652, 982, 476, 274, 6279, 264, 829, 2034, 780, 3719, 952, 596, 2811, 593, 519, 26079, 540, 713, 20599, 267, 707, 5276, 6991, 568, 1384, 341, 7807, 18652, 678, 815, 1422, 2765, 346, 273, 19570, 2410, 1911, 12917, 1911, 876, 6661, 277, 2764, 20728, 346, 544, 4882, 10926, 6546, 781, 827, 476, 272, 267, 32076, 5195, 829, 5662, 267, 5488, 982, 513, 16886, 269, 670, 836, 593, 256, 315, 692, 1012, 4911, 983, 28850, 636, 692, 17951, 983, 11610, 267, 700, 267, 568, 1759, 2390, 519, 4090, 540, 24880, 543, 519, 16070, 6991, 2016, 538, 519, 3830, 630, 10193, 1644, 547, 2527, 267, 8953, 267, 543, 6991, 17107, 299, 815, 594, 1422, 18652, 815, 678, 332, 341, 692, 763, 4099, 540, 2527, 4249, 513, 2565, 1909, 538, 10747, 16070, 11610, 998, 519, 4090, 540, 24880, 267, 543, 519, 4099, 540, 10047, 849, 5222, 713, 7274, 267, 607, 519, 8953, 1223, 581, 4657, 609, 2463, 547, 10047, 5086, 780, 291, 2632, 3619, 2439, 2171, 5620, 2859, 4279, 2233, 9760, 15080, 256, 0, 297, 2794, 547, 513, 1715, 3848, 7072, 763, 2598, 23002, 540, 2598, 23002, 306, 2969, 11150, 763, 20389, 9608, 21541, 518, 25603, 519, 5675, 8791, 6826, 520, 519, 4828, 6826, 520, 25947, 29941, 6826, 520, 17291, 22054, 8210, 5558, 6826, 520, 25947, 24225, 338, 25603, 519, 11879, 7335, 3296, 6826, 520, 22054, 7388, 339, 687, 20091, 10426, 1137, 281, 634, 7043, 543, 10374, 540, 898, 763, 7043, 540, 898, 763, 10374, 540, 898, 306, 2969, 18500, 25603, 519, 4569, 8791, 6826, 520, 13038, 16644, 4069, 543, 25373, 268, 11900, 301, 13246, 543, 15051, 31580, 10481, 5852, 10574, 267, 10803, 267, 543, 17438, 454, 476, 1704, 269, 272, 13038, 16644, 4069, 5999, 692, 476, 1704, 269, 273, 25373, 268, 11900, 454, 21296, 16644, 4069, 5999, 454, 10157, 6763, 585, 782, 5686, 540, 1919, 269, 681, 1952, 619, 269, 16359, 31260, 269, 9457, 540, 18428, 269, 4634, 3057, 11672, 5516, 344, 269, 2201, 519, 1007, 20389, 267, 14330, 1797, 1434, 2025, 2789, 31547, 2055, 281, 513, 2243, 267, 6148, 513, 3113, 610, 513, 12166, 4137, 267, 543, 1287, 2947, 2626, 5079, 269, 6168, 476, 3583, 2600, 540, 519, 3003, 20389, 4569, 5161, 540, 891, 2370, 9002, 269, 5700, 875, 547, 6023, 11313, 655, 267, 543, 596, 3580, 581, 11493, 1169, 14330, 593, 519, 3625, 2097, 1449, 1554, 563, 2690, 1169, 2979, 2789, 31547, 2243, 593, 519, 1449, 267, 596, 723, 1079, 3681, 912, 1892, 16534, 519, 1966, 2047, 563, 1892, 2422, 519, 1184, 540, 17594, 563, 1103, 2489, 267, 6061, 519, 1966, 568, 5488, 982, 2469, 998, 519, 2626, 5079, 1210, 1184, 540, 17594, 269, 4746, 267, 538, 2489, 267, 952, 596, 2461, 693, 782, 13943, 609, 519, 1888, 267, 621, 666, 581, 6225, 547, 2119, 547, 9004, 4267, 3079, 540, 1175, 6061, 519, 2243, 563, 306, 6295, 519, 9046, 454, 306, 6295, 513, 1966, 2047, 568, 7168, 3551, 607, 1279, 607, 596, 1745, 6899, 609, 519, 2979, 1373, 7318, 269, 898, 779, 513, 1079, 9912, 1184, 563, 272, 269, 3367, 519, 2243, 267, 855, 1810, 1406, 1413, 693, 519, 4267, 269, 3115, 15590, 848, 519, 2243, 547, 1118, 2386, 596, 1174, 621, 267, 543, 28433, 513, 1544, 547, 4194, 621, 563, 273, 269, 16534, 519, 1966, 269, 4495, 596, 723, 606, 2626, 2443, 663, 1152, 1287, 1765, 1294, 952, 707, 2626, 568, 7396, 1851, 519, 2626, 5079, 269, 1635, 7996, 547, 1413, 693, 519, 2626, 5079, 2394, 1310, 596, 4076, 12193, 519, 1966, 267, 596, 840, 3319, 1346, 562, 7360, 20389, 20637, 563, 2171, 666, 1406, 2566, 2614, 602, 952, 596, 2461, 3843, 547, 4194, 519, 1966, 2047, 267, 596, 1058, 2057, 3168, 693, 519, 2626, 5079, 2394, 519, 1439, 269, 4595, 15972, 4267, 616, 1419, 519, 2418, 596, 1131, 1205, 693, 519, 28870, 1448, 540, 519, 1184, 540, 2324, 856, 513, 1966, 267, 952, 596, 32708, 693, 519, 4267, 267, 596, 949, 1205, 8945, 539, 883, 3206, 596, 4076, 12193, 519, 2243, 1354, 596, 2965, 723, 563, 763, 6713, 540, 26332, 1588, 454, 4002, 1169, 2789, 31547, 2243, 267, 519, 2626, 568, 1318, 538, 4395, 540, 596, 269, 898, 779, 1175, 6456, 1851, 1346, 2947, 2626, 5079, 269, 901, 1797, 596, 666, 3006, 2110, 5547, 519, 1966, 676, 726, 19982, 1142, 2626, 883, 519, 2243, 547, 1294, 799, 835, 1568, 269, 2201, 1978, 14026, 267, 2324, 18807, 1223, 2965, 581, 513, 5488, 1505, 982, 1175, 6061, 519, 1966, 2047, 563, 302, 10798, 267, 1383, 942, 912, 589, 4928, 3568, 476, 4029, 23107, 267, 930, 799, 723, 7916, 543, 930, 540, 799, 798, 711, 269, 1403, 519, 4055, 3568, 476, 276, 811, 6186, 577, 4202, 982, 23107, 1510, 7916, 267, 875, 1082, 6186, 577, 4202, 1281, 621, 2270, 286, 630, 288, 264, 476, 1015, 630, 289, 264, 476, 1724, 630, 290, 264, 476, 1626, 630, 291, 264, 476, 1240, 630, 292, 264, 476, 2641, 454, 2252, 596, 1616, 547, 4194, 519, 1966, 2047, 267, 596, 1101, 723, 547, 3651, 4632, 912, 13707, 1297, 540, 23107, 815, 476, 4029, 454, 1301, 577, 4202, 815, 1535, 454, 577, 4202, 1510, 7916, 815, 586, 454, 9202, 267, 1491, 891, 4632, 543, 14377, 873, 883, 606, 3830, 1759, 593, 519, 1344, 538, 519, 2243, 912, 4029, 815, 1535, 1341, 586, 454, 344, 815, 1535, 1107, 476, 276, 454, 10190, 12990, 835, 3830, 883, 519, 824, 912, 2467, 596, 616, 609, 519, 1318, 2626, 267, 855, 621, 3576, 513, 3787, 540, 942, 563, 1432, 952, 596, 726, 28289, 538, 519, 4267, 3079, 286, 1656, 1018, 952, 596, 726, 28289, 538, 4111, 1836, 267, 2495, 281, 3689, 11690, 538, 519, 1871, 595, 563, 7712, 2626, 5079, 593, 519, 20389, 4569, 2141, 2901, 10841, 754, 610, 13956, 538, 1871, 267, 4358, 609, 519, 1647, 1871, 1797, 602, 596, 3580, 2760, 723, 547, 979, 998, 782, 2947, 5079, 269, 1280, 3236, 267, 538, 713, 2243, 267, 952, 596, 11690, 538, 595, 630, 1626, 264, 543, 3605, 602, 621, 779, 1932, 1507, 513, 1297, 547, 14183, 519, 3830, 267, 596, 666, 9004, 589, 543, 645, 2059, 609, 595, 269, 1403, 476, 1626, 568, 1932, 2462, 267, 596, 666, 9004, 667, 543, 661, 2059, 609, 595, 563, 3383, 1577, 779, 11690, 538, 476, 1626, 543, 1294, 1018, 4523, 912, 1892, 634, 2243, 3081, 602, 972, 616, 476, 276, 7864, 6186, 1652, 23107, 982, 6186, 577, 4202, 267, 865, 952, 596, 723, 476, 1626, 6186, 577, 4202, 267, 1287, 596, 723, 476, 1556, 6186, 1652, 23107, 267, 585, 513, 2698, 540, 476, 2767, 23107, 563, 1892, 4595, 596, 991, 519, 2698, 2338, 540, 23107, 547, 3160, 476, 4029, 267, 595, 568, 5693, 711, 519, 1318, 2626, 269, 1809, 1317, 519, 2698, 1297, 540, 23107, 729, 1932, 1507, 267, 596, 666, 849, 9004, 589, 543, 645, 267, 519, 2626, 5079, 10834, 7864, 2338, 540, 6186, 577, 4202, 563, 1892, 1403, 596, 1287, 11690, 538, 667, 630, 1240, 1070, 596, 723, 476, 1724, 3339, 23107, 543, 476, 4029, 2698, 23107, 269, 1703, 779, 707, 2626, 269, 769, 713, 3236, 267, 726, 19982, 538, 519, 4267, 3217, 1447, 942, 543, 4667, 4443, 563, 2026, 596, 1491, 2259, 4255, 267, 596, 3580, 991, 547, 1628, 909, 513, 2631, 540, 950, 2324, 23651, 666, 948, 596, 1034, 269, 1809, 1934, 779, 513, 2656, 798, 543, 1810, 1406, 5758, 547, 948, 596, 2059, 912, 1892, 11298, 960, 18807, 950, 519, 2243, 6257, 606, 3830, 540, 930, 4990, 543, 519, 2626, 5079, 616, 782, 2864, 2241, 2338, 563, 1892, 667, 2177, 685, 307, 960, 18807, 950, 7231, 609, 2626, 5079, 602, 2270, 4632, 610, 7294, 8454, 563, 30180, 547, 513, 1715, 3848, 7072, 763, 2598, 23002, 540, 2598, 23002, 306, 2969, 11150, 763, 20389, 9608, 21541, 518, 25603, 519, 5675, 8791, 6826, 520, 519, 4828, 6826, 520, 25947, 29941, 6826, 520, 17291, 22054, 8210, 5558, 6826, 520, 25947, 24225, 338, 25603, 519, 11879, 7335, 3296, 6826, 520, 22054, 7388, 339, 687, 20091, 10426, 1137, 281, 634, 7043, 543, 10374, 540, 898, 763, 7043, 540, 898, 763, 10374, 540, 898, 306, 2969, 18500, 25603, 519, 4569, 8791, 6826, 520, 13038, 16644, 4069, 543, 25373, 268, 11900, 301, 13246, 543, 15051, 31580, 10481, 5852, 10574, 267, 10803, 267, 543, 17438, 454, 14818, 16721, 15544, 454, 1715, 20389, 4530, 4741, 22387, 20389, 454, 306, 2969, 15642, 629, 26358, 454, 681, 1511, 1715, 2622, 590, 5861, 6993, 8160, 269, 590, 17977, 645, 755, 539, 10361, 3683, 1261, 1564, 454, 306, 2969, 5295, 570, 716, 923, 454, 10789, 4578, 5811, 267, 10803, 1299, 17438, 16387, 10606, 1299, 15051, 7335, 10426, 1137, 22054, 7388, 339, 687, 5675, 13038, 16644, 4069, 5999, 634, 4828, 4530, 6874, 1136, 11150, 18500, 12706, 518, 454, 8967, 1046, 31955, 454, 5441, 23670, 3827, 11038, 22707, 5441, 5020, 0, 30125, 692 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 772, 2529, 269, 538, 513, 2518, 5718, 2990, 547, 3914, 23636, 12046, 630, 24392, 3644, 14726, 267, 7132, 5663, 543, 3892, 2591, 267, 6414, 1040, 15788, 267, 649, 723, 6015, 602, 519, 772, 2529, 269, 4346, 568, 17479, 547, 6450, 895, 713, 4832, 563, 4407, 649, 723, 1044, 14968, 1226, 885, 585, 930, 942, 267, 649, 2611, 21713, 540, 1312, 29925, 4145, 543, 2242, 547, 3255, 538, 6378, 4747, 563, 763, 2063, 2262, 454, 4462, 322, 1643, 1399, 3788, 538, 6125, 543, 9698, 6990, 269, 1703, 616, 4145, 602, 1360, 1970, 1719, 3928, 267, 13745, 609, 7372, 16642, 17003, 543, 1164, 2123, 9806, 21356, 267, 1223, 25793, 1662, 7082, 3747, 543, 1291, 547, 31250, 10637, 269, 6239, 8492, 1131, 1287, 581, 7142, 547, 6318, 3928, 19692, 982, 4397, 269, 7201, 1699, 6381, 267, 519, 2344, 1131, 2070, 2362, 3928, 607, 513, 2942, 269, 2334, 1767, 267, 649, 3494, 713, 568, 12691, 563, 8448, 5686, 540, 10462, 2611, 607, 1134, 269, 28404, 5066, 8083, 267, 1247, 1360, 11141, 607, 905, 1846, 540, 4199, 6888, 543, 17825, 267, 616, 14887, 982, 649, 1185, 12479, 269, 1284, 1810, 1406, 917, 2436, 6552, 2324, 786, 2842, 1524, 950, 621, 779, 2922, 547, 979, 1394, 547, 519, 5604, 269, 7439, 798, 649, 917, 2436, 6800, 786, 6521, 689, 2228, 10918, 547, 20398, 7146, 2173, 677, 541, 10685, 2899, 519, 4346, 10741, 909, 1586, 563, 3080, 3364, 568, 1978, 267, 2705, 281, 3131, 14651, 543, 27265, 723, 4412, 8215, 721, 2673, 547, 519, 9096, 1899, 538, 519, 2518, 5198, 547, 20630, 519, 3644, 563, 22033, 8659, 538, 713, 8313, 568, 1759, 593, 2959, 971, 607, 1615, 21838, 5359, 267, 8579, 2533, 543, 2872, 10618, 267, 799, 649, 3494, 616, 6325, 855, 616, 711, 6719, 607, 4977, 610, 2347, 269, 25709, 687, 6829, 538, 713, 8313, 616, 1699, 8369, 1152, 543, 616, 1641, 547, 1689, 269, 645, 19616, 17721, 32100, 24693, 1100, 15668, 31049, 585, 1022, 2530, 16109, 689, 1022, 946, 540, 713, 16555, 610, 922, 9115, 269, 634, 1344, 267, 8369, 267, 9193, 267, 20327, 543, 824, 2326, 8659, 23954, 616, 711, 547, 581, 1526, 29471, 607, 606, 2709, 547, 6133, 267, 513, 1151, 545, 2787, 585, 610, 606, 2709, 547, 4444, 267, 1022, 2472, 610, 2533, 26518, 23954, 630, 10175, 267, 1510, 20159, 267, 1022, 21113, 267, 19736, 610, 824, 2883, 7405, 1070, 6862, 4927, 971, 1344, 267, 8369, 267, 9193, 267, 20327, 543, 824, 2326, 581, 2808, 607, 5092, 5796, 267, 3454, 5796, 267, 513, 16252, 547, 4283, 883, 1022, 11834, 610, 606, 22059, 610, 10018, 607, 547, 519, 4397, 2164, 540, 1022, 11834, 563, 2791, 1058, 711, 957, 610, 7048, 593, 519, 1344, 8659, 538, 713, 8313, 1510, 5275, 519, 5796, 540, 606, 3617, 3318, 25129, 563, 13696, 302, 17721, 32100, 568, 513, 6216, 2012, 585, 513, 1870, 1895, 9967, 540, 7813, 540, 27292, 543, 1978, 540, 922, 28930, 919, 538, 3246, 4357, 5763, 2359, 2472, 543, 2533, 269, 3502, 782, 2472, 543, 2533, 616, 6035, 676, 782, 3656, 9988, 1369, 645, 19616, 17721, 32100, 269, 30914, 2533, 616, 6035, 998, 7813, 540, 27292, 269, 20971, 2359, 267, 5763, 4058, 267, 3454, 4058, 267, 24960, 344, 4058, 2533, 616, 6035, 998, 645, 19616, 715, 525, 4226, 339, 31293, 5549, 269, 543, 645, 19616, 17721, 20971, 21835, 5549, 269, 24529, 267, 3972, 267, 543, 8169, 617, 658, 2533, 616, 6035, 998, 645, 19616, 11565, 7577, 269, 15928, 2533, 543, 2472, 616, 6035, 998, 645, 19616, 24529, 15928, 27545, 7896, 5549, 1421, 513, 28025, 24804, 13564, 10706, 540, 645, 19616, 715, 525, 4226, 339, 31293, 5549, 269, 645, 19616, 17721, 32100, 3656, 9988, 798, 711, 2709, 3454, 5796, 269, 645, 19616, 715, 525, 4226, 339, 31293, 5549, 269, 568, 513, 4759, 540, 519, 8225, 7767, 528, 10466, 8750, 543, 519, 20971, 12752, 27943, 9257, 540, 4516, 269, 645, 19616, 11565, 7577, 543, 645, 19616, 7813, 540, 27292, 616, 16840, 540, 7131, 2975, 269, 0, 1607, 3184, 2488, 513, 3140, 2796, 585, 3662, 10721, 2090, 676, 6313, 5697, 3344, 540, 1480, 270, 534, 2711, 3347, 607, 789, 7960, 689, 519, 2038, 21524, 1716, 1974, 547, 519, 1459, 1554, 269, 898, 7710, 875, 3735, 22733, 10601, 1561, 951, 5828, 2831, 883, 15327, 585, 14291, 7943, 883, 7443, 267, 543, 875, 13524, 10601, 1514, 10688, 2813, 519, 2413, 6377, 4620, 2872, 269, 898, 15109, 519, 12825, 2208, 540, 1719, 538, 3552, 2831, 538, 519, 14206, 2540, 267, 519, 11707, 543, 20656, 540, 741, 4159, 538, 24811, 267, 543, 519, 2994, 585, 741, 1353, 538, 519, 2361, 267, 1354, 7432, 547, 519, 2208, 540, 1719, 538, 3662, 8116, 543, 10236, 31532, 538, 8938, 23867, 10601, 14172, 543, 922, 6286, 585, 519, 13184, 2872, 269, 8750, 3512, 958, 267, 713, 3184, 12125, 519, 1114, 8658, 538, 799, 2831, 616, 9833, 607, 6151, 2326, 267, 607, 2645, 267, 610, 607, 1004, 11652, 12134, 1018, 713, 666, 2995, 721, 827, 9962, 1480, 16216, 264, 3347, 538, 519, 19848, 18152, 563, 347, 17138, 540, 3984, 8313, 1475, 763, 10228, 18361, 540, 5029, 529, 1049, 5525, 2008, 347, 10955, 6002, 1475, 299, 25475, 30460, 6199, 267, 14811, 25669, 16803, 2008, 347, 21812, 1475, 23682, 5112, 2160, 4964, 2008, 347, 26397, 4567, 1475, 13775, 910, 476, 1240, 4119, 476, 1708, 273, 347 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2435, 11795, 292, 336, 6185, 292, 302, 6877, 346, 293, 5979, 520, 5038, 267, 4469, 13331, 5038, 267, 4469, 13331, 5038, 267, 4469, 13331, 5038, 267, 623, 2975, 2632, 28948, 23334, 1049, 346, 4504, 5038, 3686, 267, 1826, 1993, 263, 11795, 292, 336, 26015, 269, 7495, 292, 32707, 9128, 288, 17109, 318, 301, 3036, 300, 1070, 1826, 1993, 263, 641, 17884, 1070, 23875, 267, 11910, 3724, 13729, 346, 307, 340, 921, 346, 9574, 16515, 921, 346, 3686, 267, 1826, 1993, 263, 11795, 292, 336, 26015, 269, 7495, 292, 32707, 9128, 288, 17109, 318, 3041, 5495, 15674, 293, 291, 6865, 288, 2562, 1070, 1826, 1993, 263, 11795, 292, 336, 26015, 269, 7495, 292, 32707, 9128, 288, 17109, 318, 24165, 294, 318, 300, 2464, 6347, 12283, 1070, 1826, 1993, 263, 11795, 292, 336, 26015, 269, 7495, 292, 32707, 9128, 288, 17109, 318, 7419, 4306, 21764, 318, 290, 4047, 290, 298, 1070, 4578, 1805, 23461, 11065, 2435, 14737, 3891, 777, 346, 293, 5979, 520, 5038, 9574, 4578, 1805, 23461, 11065, 2435, 14737, 3891, 777, 346, 293, 5979, 520, 5038, 9574, 23875, 267, 23875, 267, 2271, 5038, 267, 16515, 921, 346, 9574, 16515, 921, 346, 9574, 16515, 921, 346, 3686, 267, 21070, 346, 293, 5979, 520, 5038, 9574, 4469, 13331, 5038, 267, 23875, 267, 18103, 2435, 11795, 292, 336, 6185, 1030, 5435, 22873, 9574, 21461, 15311, 302, 6113, 2435, 11795, 292, 336, 269, 4467, 22683, 290, 5995, 346, 307, 340, 921, 346, 302, 6113, 2435, 11795, 292, 336, 11053, 338, 527, 276, 290, 5995, 346, 309, 10725, 346, 293, 5979, 520, 5038, 9574, 21070, 346, 293, 5979, 520, 5038, 9574, 21070, 346, 293, 5979, 520, 5038, 9574, 18103, 2435, 11795, 292, 336, 11053, 338, 527, 276, 17746, 656, 290, 5995, 346, 293, 5979, 520, 5038, 267, 4469, 13331, 5038, 3686, 267, 18103, 2435, 11795, 292, 336, 10611, 4923, 321, 13702, 2537, 290, 5995, 346, 309, 10725, 346, 293, 5979, 520, 5038, 9574, 21070, 346, 293, 5979, 520, 5038, 9574, 21070, 346, 293, 5979, 520, 5038, 9574, 19336, 346, 293, 5979, 520, 5038, 9574, 19336, 346, 293, 5979, 520, 5038, 9574, 18103, 2435, 11795, 292, 336, 10611, 4923, 321, 13702, 2537, 8368, 879, 346, 293, 5979, 520, 5038, 9574, 2233, 7876, 26015, 11053, 830, 294, 2784, 1304, 310, 571, 3899, 346, 7495, 9128, 4233, 346, 25152, 267, 1826, 1993, 30044, 325, 684, 1070, 31538, 9928, 2718, 346, 289, 944, 9574, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 1826, 1993, 22829, 857, 7876, 26015, 6185, 9128, 288, 17109, 318, 302, 7034, 27263, 3633, 1070, 23875, 9574, 21070, 346, 293, 5979, 520, 5038, 9574, 21070, 346, 293, 5979, 520, 5038, 3686, 267, 2233, 7876, 26015, 269, 308, 297, 659, 984, 1014, 310, 571, 3899, 346, 7495, 9128, 4233, 346, 25152, 267, 1826, 1993, 30044, 325, 684, 1070, 31538, 9928, 2718, 346, 289, 944, 9574, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 1826, 1993, 22829, 857, 7876, 26015, 6185, 9128, 288, 17109, 318, 302, 7034, 27263, 3633, 1070, 23875, 9574, 4469, 13331, 5038, 267, 21070, 346, 293, 5979, 520, 5038, 3686, 267, 4347, 5435, 31690, 24169, 267, 5685, 924, 11795, 12282, 659, 984, 1014, 290, 5995, 346, 309, 10725, 346, 293, 5979, 520, 5038, 9574, 21070, 346, 293, 5979, 520, 5038, 9574, 21070, 346, 293, 5979, 520, 5038, 9574, 5149, 305, 1052, 346, 4504, 5038, 9574, 23875, 267, 4406, 346, 281, 3453, 12917, 1070, 4469, 13331, 5038, 9574, 5685, 924, 11795, 14371, 2784, 1304, 290, 5995, 346, 301, 5847, 267, 21070, 346, 293, 5979, 520, 5038, 9574, 21070, 346, 293, 5979, 520, 5038, 9574, 4469, 13331, 5038, 267, 4406, 346, 281, 3453, 12917, 1070, 4469, 13331, 5038, 267, 4406, 346, 25152, 348, 3890, 3686, 9574, 18103, 2435, 11795, 292, 336, 6993, 19513, 18933, 3558, 290, 5995, 346, 25629, 527, 276, 267, 25347, 321, 13702, 2537, 346, 271, 267, 7301, 267, 4347, 5435, 31690, 24169, 267, 4578, 13911, 9574, 21929, 346, 4504, 5038, 9574, 2271, 5038, 3686, 994, 287, 18103, 2435, 11795, 292, 336, 595, 24097, 5825, 619, 315, 12528, 12459, 592, 807, 315, 17569, 1137, 315, 302, 6113, 2435, 11795, 292, 336, 315, 320, 276, 336, 11803, 315, 338, 21683, 315, 704, 845, 14067, 788, 315, 1260, 22683, 30648, 845, 14067, 788, 12459, 331, 281, 4375, 454, 314, 277, 316, 6449, 8181, 263, 22238, 15311, 7495, 292, 19370, 346, 309, 10725, 346, 293, 5979, 520, 5038, 9574, 16515, 921, 346, 293, 5979, 520, 5038, 267, 4469, 13331, 5038, 9574, 3020, 267, 21070, 346, 293, 5979, 520, 5038, 9574, 744, 291, 9128, 4233, 346, 25152, 267, 1826, 1993, 30044, 325, 684, 1070, 31538, 9928, 2718, 346, 289, 944, 9574, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 1826, 1993, 22829, 857, 7876, 26015, 6185, 9128, 288, 17109, 318, 302, 7034, 27263, 3633, 1070, 23875, 9574, 12476, 15660, 614, 2209, 10422, 4202, 346, 4462, 542, 346, 9574, 5742, 346, 9574, 16515, 921, 346, 9574, 715, 3139, 307, 340, 921, 18950, 1070, 16515, 921, 346, 3686, 9574, 2233, 7876, 26015, 269, 24092, 7495, 292, 19370, 9574, 3473, 15311, 4467, 22683, 2704, 326, 3596, 332, 346, 307, 340, 921, 346, 25629, 527, 276, 267, 25347, 321, 13702, 2537, 346, 271, 267, 7301, 267, 4347, 5435, 31690, 24169, 267, 4578, 13911, 3686, 267, 16790, 18933, 3558, 346, 25629, 527, 276, 267, 25347, 321, 13702, 2537, 346, 271, 267, 7301, 267, 4347, 5435, 31690, 24169, 267, 4578, 13911, 9574, 21929, 346, 4504, 5038, 9574, 2271, 5038, 3686, 267, 2053, 7685, 318, 8181, 15311, 307, 340, 921, 346, 9574, 512, 338, 318, 8181, 15311, 307, 340, 921, 346, 9574, 31872, 318, 8181, 15311, 307, 340, 921, 346, 9574, 973, 20234, 850, 15311, 13911, 346, 11749, 346, 25152, 3686, 282, 4688, 520, 15311, 307, 340, 921, 346, 9574, 512, 560, 3591, 15311, 307, 340, 921, 346, 9574, 546, 318, 4134, 11666, 340, 885, 15311, 307, 340, 921, 346, 9574, 4688, 16182, 343, 338, 15311, 301, 5847, 267, 4688, 21223, 854, 21163, 15311, 289, 944, 267, 4688, 318, 517, 15311, 289, 944, 267, 4688, 318, 11034, 15311, 289, 944, 267, 4688, 318, 754, 15311, 301, 5847, 267, 1289, 3724, 15311, 301, 5847, 267, 10053, 15311, 289, 944, 267, 1608, 1188, 15311, 289, 944, 267, 24303, 15311, 293, 5979, 520, 5038, 267, 24303, 2381, 15311, 301, 5847, 267, 24303, 10946, 15311, 293, 5979, 520, 5038, 267, 3196, 5091, 339, 2381, 15311, 289, 944, 267, 13261, 15311, 289, 944, 267, 18325, 15311, 305, 1049, 346, 4504, 5038, 9574, 17712, 565, 15311, 301, 5847, 267, 882, 339, 565, 15311, 301, 5847, 267, 7117, 2381, 15311, 305, 1049, 346, 4504, 5038, 9574, 7117, 10946, 15311, 4504, 5038, 267, 7117, 560, 1737, 344, 28804, 15311, 4504, 5038, 267, 7117, 560, 1737, 344, 26174, 15311, 4504, 5038, 267, 12498, 272, 15311, 301, 5847, 267, 12498, 273, 15311, 301, 5847, 267, 7117, 1245, 8181, 15311, 305, 1049, 346, 4504, 5038, 9574, 17120, 15311, 301, 5847, 267, 2407, 7538, 1125, 15311, 289, 944, 267, 3111, 26476, 15311, 4504, 5038, 267, 3193, 527, 619, 15311, 4504, 5038, 267, 4835, 17884, 15311, 6943, 1993, 263, 11795, 292, 336, 26015, 269, 7495, 292, 32707, 9128, 288, 17109, 318, 301, 3036, 300, 1070, 4835, 641, 17884, 15311, 6943, 1993, 263, 641, 17884, 1070, 568, 719, 1993, 3256, 664, 15311, 6943, 1993, 263, 11795, 292, 336, 26015, 269, 7495, 292, 32707, 9128, 288, 17109, 318, 3041, 5495, 15674, 293, 291, 6865, 288, 2562, 1070, 18633, 318, 13765, 15311, 6943, 1993, 263, 11795, 292, 336, 26015, 269, 7495, 292, 32707, 9128, 288, 17109, 318, 7419, 4306, 21764, 318, 290, 4047, 290, 298, 1070, 8231, 846, 15311, 289, 944, 267, 2053, 7685, 318, 518, 5558, 15311, 289, 944, 267, 10053, 318, 518, 5558, 15311, 289, 944, 267, 4434, 15461, 4671, 17380, 15311, 289, 944, 267, 3247, 318, 520, 318, 10113, 4671, 17380, 15311, 289, 944, 267, 3355, 1125, 5334, 1511, 15311, 289, 944, 267, 3356, 15311, 289, 944, 267, 3356, 14067, 10134, 15311, 4504, 5038, 267, 3356, 12173, 15311, 21803, 267, 3356, 8548, 20687, 15311, 6943, 1993, 263, 11795, 292, 336, 26015, 269, 7495, 292, 32707, 9128, 288, 17109, 318, 24165, 294, 318, 300, 2464, 6347, 12283, 1070, 3593, 11907, 15311, 301, 5847, 267, 1450, 318, 2169, 1905, 15684, 15311, 289, 944, 267, 3355, 1125, 318, 15759, 15249, 15311, 289, 944, 267, 620, 5362, 318, 340, 271, 15311, 289, 944, 267, 620, 5362, 318, 706, 271, 15311, 289, 944, 267, 3355, 1125, 14607, 15311, 302, 6113, 2435, 11795, 292, 336, 6185, 1030, 5435, 22873, 267, 737, 342, 16911, 15311, 26015, 15660, 614, 2209, 10422, 4202, 346, 15228, 2513, 267, 645, 944, 267, 16515, 921, 346, 15228, 2513, 267, 13507, 9574, 715, 3139, 307, 340, 921, 18950, 281, 29239, 27133, 267, 2433, 16149, 22710, 1070, 16515, 921, 346, 289, 944, 267, 645, 944, 3686, 348, 994, 287, 18103, 2435, 11795, 292, 336, 595, 24097, 5825, 619, 315, 12528, 12459, 592, 807, 315, 17569, 1137, 315, 302, 6113, 2435, 11795, 292, 336, 315, 320, 276, 336, 11803, 315, 338, 21683, 315, 338, 9876, 12459, 331, 281, 27174, 454, 314, 278, 316, 6449, 338, 9876, 263, 15311, 7495, 292, 19370, 346, 309, 10725, 346, 293, 5979, 520, 5038, 9574, 16515, 921, 346, 293, 5979, 520, 5038, 267, 4469, 13331, 5038, 9574, 3020, 267, 21070, 346, 293, 5979, 520, 5038, 9574, 744, 291, 9128, 4233, 346, 25152, 267, 1826, 1993, 30044, 325, 684, 1070, 31538, 9928, 2718, 346, 289, 944, 9574, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 1826, 1993, 22829, 857, 7876, 26015, 6185, 9128, 288, 17109, 318, 302, 7034, 27263, 3633, 1070, 23875, 9574, 12476, 15660, 614, 2209, 10422, 4202, 346, 4462, 542, 346, 9574, 5742, 346, 9574, 16515, 921, 346, 9574, 715, 3139, 307, 340, 921, 18950, 1070, 16515, 921, 346, 3686, 9574, 2233, 7876, 26015, 269, 24092, 7495, 292, 19370, 9574, 26012, 4467, 22683, 2704, 326, 3596, 332, 346, 307, 340, 921, 346, 25629, 527, 276, 267, 25347, 321, 13702, 2537, 346, 271, 267, 7301, 267, 4347, 5435, 31690, 24169, 267, 4578, 13911, 3686, 267, 16790, 18933, 3558, 346, 25629, 527, 276, 267, 25347, 321, 13702, 2537, 346, 271, 267, 7301, 267, 4347, 5435, 31690, 24169, 267, 4578, 13911, 9574, 21929, 346, 4504, 5038, 9574, 2271, 5038, 3686, 282, 737, 342, 16911, 15311, 26015, 15660, 614, 2209, 10422, 4202, 346, 15228, 2513, 267, 645, 944, 267, 16515, 921, 346, 15228, 2513, 267, 13507, 9574, 715, 3139, 307, 340, 921, 18950, 281, 29239, 27133, 267, 2433, 16149, 22710, 1070, 16515, 921, 346, 289, 944, 267, 645, 944, 3686, 348, 994, 287, 18103, 2435, 11795, 292, 336, 595, 24097, 5825, 619, 315, 12528, 12459, 592, 807, 315, 17569, 1137, 315, 302, 6113, 2435, 11795, 292, 336, 315, 320, 276, 336, 11803, 315, 338, 21683, 315, 338, 9876, 12459, 331, 281, 275, 454, 314, 279, 316, 6449, 338, 9876, 263, 15311, 7495, 292, 19370, 346, 309, 10725, 346, 293, 5979, 520, 5038, 9574, 16515, 921, 346, 293, 5979, 520, 5038, 267, 4469, 13331, 5038, 9574, 3020, 267, 21070, 346, 293, 5979, 520, 5038, 9574, 744, 291, 9128, 4233, 346, 25152, 267, 1826, 1993, 30044, 325, 684, 1070, 31538, 9928, 2718, 346, 289, 944, 9574, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 1826, 1993, 22829, 857, 7876, 26015, 6185, 9128, 288, 17109, 318, 302, 7034, 27263, 3633, 1070, 23875, 9574, 12476, 15660, 614, 2209, 10422, 4202, 346, 4462, 542, 346, 9574, 5742, 346, 9574, 16515, 921, 346, 9574, 715, 3139, 307, 340, 921, 18950, 1070, 16515, 921, 346, 3686, 9574, 2233, 7876, 26015, 269, 24092, 7495, 292, 19370, 9574, 26012, 301, 5847, 282, 9949, 27133, 15311, 289, 944, 267, 737, 342, 16911, 15311, 26015, 15660, 614, 2209, 10422, 4202, 346, 15228, 2513, 267, 645, 944, 267, 16515, 921, 346, 15228, 2513, 9574, 715, 3139, 307, 340, 921, 18950, 281, 16149, 22710, 267, 1070, 16515, 921, 346, 289, 944, 3686, 348, 994, 287, 27018, 13420, 725, 595, 24097, 5825, 619, 315, 12528, 12459, 592, 807, 315, 17569, 1137, 315, 17843, 658 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7705, 281, 19850, 7585, 256, 594, 729, 2542, 713, 4277, 2376, 827, 1004, 609, 9124, 2221, 269, 1684, 596, 917, 1018, 621, 1797, 547, 723, 513, 9659, 2496, 7692, 281, 23010, 267, 594, 1589, 865, 269, 898, 781, 950, 2576, 666, 1405, 798, 1978, 1919, 899, 824, 1004, 1317, 789, 616, 7210, 267, 13676, 267, 610, 4535, 1114, 267, 1318, 2496, 8334, 281, 22549, 256, 1656, 649, 991, 547, 1174, 741, 3510, 1732, 865, 649, 666, 948, 873, 952, 2877, 543, 1521, 3025, 8449, 269, 1924, 267, 1577, 803, 2307, 596, 1945, 269, 1548, 1131, 596, 798, 952, 707, 3659, 945, 3096, 513, 30523, 6499, 547, 2097, 547, 707, 2777, 855, 707, 4395, 7450, 814, 24383, 2496, 7692, 281, 7937, 1100, 256, 2334, 1223, 581, 2352, 269, 9320, 594, 666, 948, 1864, 676, 8876, 1010, 11381, 909, 519, 3268, 610, 1265, 1776, 1259, 585, 1864, 547, 1205, 3330, 780, 8334, 281, 1411, 3893, 621, 256, 9861, 3222, 540, 971, 2591, 2337, 721, 1118, 15826, 3664, 269, 3767, 4952, 596, 2811, 693, 1153, 543, 972, 781, 513, 1007, 2875, 945, 568, 9420, 269, 1215, 1522, 596, 4217, 873, 1282, 12899, 5503, 538, 519, 22538, 2678, 807, 2496, 7692, 281, 670, 7825, 332, 1862, 6148, 594, 1223, 4766, 1141, 1142, 1426, 6221, 568, 4092, 593, 519, 7674, 1899, 543, 1287, 3391, 873, 547, 606, 8900, 3349, 269, 3973, 267, 2899, 27206, 267, 594, 1223, 2995, 873, 799, 10425, 543, 7873, 9323, 616, 7404, 780, 8334, 281, 4279, 2816, 3206, 6619, 256, 1879, 14379, 609, 1004, 609, 6217, 23043, 267, 3314, 602, 6340, 5693, 1247, 6849, 873, 568, 1271, 269, 4746, 267, 1810, 1405, 7340, 602, 930, 9124, 5749, 1405, 7298, 269, 1280, 1383, 267, 2576, 1522, 6560, 609, 1565, 610, 19551, 1919, 1813, 547, 2175, 899, 27577, 610, 10295, 780, 7692, 281, 13259, 267, 1631, 594, 1294, 269, 1284, 12582, 1405, 8263, 16764, 568, 519, 1482, 543, 1590, 1451, 8335, 3006, 269, 1809, 1018, 952, 2576, 18417, 3081, 1945, 18086, 827, 2576, 3116, 781, 9659, 286, 9701, 333, 1405, 649, 2953, 873, 2496, 8334, 281, 8786, 267, 9900, 18997, 1866, 827, 3617, 1893, 543, 2623, 568, 1898, 585, 2870, 606, 8537, 1604, 269, 3807, 3314, 267, 1373, 2186, 543, 3461, 4422, 513, 1279, 1259, 269, 15526, 19262, 2463, 543, 3160, 3255, 780, 7692, 281, 25999, 267, 7705, 269, 8729, 585, 3450, 803, 811, 827, 1514, 2257, 543, 4543, 803, 1831, 811, 13533, 540, 1346, 1472, 803, 269, 2913, 781, 1832, 10825, 11587, 543, 4656, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 300, 7495, 30204, 29376, 2464, 1775, 454, 10955, 6002, 281, 19264, 11986, 5689, 14653, 571, 28763, 597, 19300, 14269, 2725, 615, 715, 880, 577, 531, 15840, 331, 715, 8811, 926, 6390, 715, 2701, 16223, 1177, 520, 26115, 385, 510, 3427, 540, 12020, 543, 15339, 267, 1715, 16156, 267, 476, 1001, 278, 2598, 25068, 267, 634, 2278, 543, 9375, 4433, 264, 798, 711, 3398, 1022, 5539, 610, 15668, 31049, 2436, 538, 4579, 267, 12475, 267, 9698, 610, 6382, 585, 1022, 2962, 3144, 607, 513, 1267, 540, 1344, 538, 713, 1867, 585, 1022, 5470, 267, 14413, 638, 2329, 267, 10638, 267, 2095, 610, 522, 3939, 538, 519, 1344, 3177, 676, 519, 1867, 269, 634, 9375, 4433, 264, 543, 4589, 540, 519, 4574, 798, 711, 3409, 1022, 9562, 936, 1257, 270, 20880, 602, 814, 1044, 26518, 610, 2907, 3370, 269, 2353, 2924, 11603, 269, 3143, 851, 540, 713, 1433, 949, 581, 3812, 538, 1022, 1106, 610, 676, 1022, 5907, 610, 7344, 1797, 267, 1519, 1344, 4859, 543, 23023, 1949, 267, 1510, 2854, 10479, 689, 519, 21101, 610, 2278, 4433, 1070, 4849, 538, 519, 2013, 540, 513, 2689, 518, 267, 945, 949, 10839, 5618, 15102, 22993, 538, 2565, 4930, 538, 513, 2689, 269, 15618, 538, 476, 1001, 278, 676, 4972, 540, 15339, 3427, 540, 12020, 543, 15339, 11110, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24719, 13316, 1315, 4658, 609, 24894, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 8702, 547, 606, 3078, 3460, 998, 519, 4241, 1158, 540, 14464, 11106, 256, 1411, 1522, 723, 4862, 540, 3642, 1354, 910, 621, 781, 950, 5904, 543, 6191, 616, 2966, 547, 957, 4111, 1836, 267, 1175, 899, 721, 3425, 256, 4653, 267, 649, 786, 4685, 883, 835, 1880, 3498, 540, 3642, 1572, 31096, 7020, 267, 799, 9388, 609, 7114, 8966, 3270, 610, 856, 11502, 1369, 1239, 936, 942, 269, 1677, 1174, 713, 1732, 267, 1577, 781, 1101, 2263, 930, 9238, 1210, 513, 1187, 1383, 780, 5331, 596, 2445, 1239, 593, 707, 3232, 27108, 540, 17711, 585, 513, 2898, 3923, 676, 10203, 543, 10916, 519, 1297, 540, 4773, 596, 3548, 1142, 1554, 269, 2659, 1239, 1131, 1413, 1945, 899, 713, 281, 2715, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 277, 267, 476, 276, 267, 476, 275, 267, 476, 274, 267, 476, 273, 20467, 3767, 15475, 596, 1616, 547, 2638, 952, 972, 616, 1022, 9490, 2395, 1141, 6148, 596, 17696, 1932, 1454, 610, 1932, 2370, 17711, 3379, 547, 824, 2395, 269, 2334, 781, 1018, 649, 1289, 31096, 7020, 2439, 3086, 267, 875, 666, 6128, 948, 721, 2697, 891, 20868, 2395, 286, 2290, 3532, 1907, 568, 5506, 543, 7194, 1107, 2523, 2035, 899, 25939, 543, 3044, 24017, 269, 2913, 781, 1376, 2241, 281, 4466, 519, 3328, 630, 528, 1611, 264, 540, 707, 10865, 17711, 6981, 269, 5410, 909, 782, 519, 2338, 543, 7941, 873, 676, 519, 2698, 1293, 1384, 263, 274, 266, 275, 266, 276, 266, 277, 266, 278, 266, 279, 266, 280, 266, 277, 266, 276, 266, 275, 266, 274, 266, 273, 8358, 1321, 815, 476, 276, 692, 15124, 256, 1924, 2947, 31496, 829, 1554, 4667, 3339, 585, 596, 269, 1809, 7227, 267, 1281, 602, 2731, 2995, 721, 2614, 827, 938, 1239, 286, 3502, 3833, 2943, 269, 5994, 2348, 1079, 3275, 4502, 540, 1239, 282, 835, 609, 1152, 1360, 1507, 15088, 1472, 519, 1611, 1871, 543, 1776, 6029, 5458, 7648, 269, 5637, 1223, 1869, 2671, 519, 1482, 3169, 1611, 1871, 540, 476, 276, 855, 5693, 2099, 1114, 3871, 269, 4935, 267, 649, 849, 2015, 3262, 538, 1840, 547, 3844, 12402, 269, 1280, 602, 267, 649, 6338, 519, 1523, 540, 3044, 11539, 780, 24092, 8061, 2747, 3800, 875, 2484, 1367, 2418, 30065, 2476, 689, 519, 1611, 269, 29626, 621, 3340, 930, 1950, 12596, 1655, 2451, 585, 1164, 1153, 610, 2852, 5049, 269, 1717, 267, 1620, 922, 2495, 3788, 2629, 1256, 693, 707, 2085, 269, 1403, 1034, 540, 707, 3232, 17711, 4616, 6013, 2673, 547, 519, 1611, 630, 869, 3044, 11539, 1070, 1287, 11287, 513, 1804, 3017, 1063, 4890, 543, 4397, 2418, 6786, 2009, 22114, 269, 2201, 519, 14669, 267, 3152, 13260, 10522, 1447, 22150, 2623, 267, 1818, 22114, 9875, 547, 5544, 11617, 780, 28274, 713, 2856, 1394, 547, 938, 3312, 2243, 281, 16326, 18811, 748, 2395, 538, 513, 2053, 7685, 10471, 267, 649, 5173, 1312, 519, 1611, 543, 3044, 11539, 269, 4495, 649, 3715, 1346, 267, 649, 5581, 3652, 8159, 1018, 13054, 1412, 1598, 1052, 8339, 15380, 267, 2798, 14084, 3564, 1978, 29676, 630, 324, 3052, 1421, 1341, 25773, 476, 273, 343, 31901, 1821, 264, 949, 6318, 27421, 269, 8409, 1831, 10457, 8506, 6251, 14791, 610, 2417, 2079, 780, 1103, 3932, 267, 5841, 4987, 3884, 1405, 1175, 827, 11608, 2921, 936, 6009, 610, 1582, 28391, 6517, 269, 2060, 2979, 543, 28135, 267, 3642, 2488, 3407, 4030, 4543, 721, 10625, 6456, 11580, 12617, 2620, 3330, 10239, 540, 9583, 27217, 1344, 269, 1635, 1565, 2553, 899, 31096, 7020, 2038, 593, 267, 9358, 1932, 666, 10244, 519, 1379, 540, 3642, 547, 7866, 9058, 2984, 3297, 8723, 14449, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 291, 633, 883, 519, 1158, 540, 14464, 11106, 543, 3605, 875, 713, 6385, 9687, 2029, 568, 13321, 6080, 543, 4657, 519, 1259, 649, 2661, 543, 960, 269, 901, 19444, 779, 5850, 6227, 3388, 596, 991, 547, 917, 827, 3642, 267, 1519, 922, 1686, 267, 2010, 267, 3156, 267, 2645, 543, 2640, 563, 272, 269, 1548, 568, 14464, 11106, 888, 25369, 11106, 630, 9590, 264, 4016, 547, 519, 2702, 540, 6191, 547, 17932, 1480, 4987, 543, 1685, 4247, 602, 3335, 2154, 1480, 17133, 267, 971, 607, 3308, 8226, 267, 4633, 6284, 267, 3375, 6194, 267, 543, 1966, 9010, 563, 9590, 3322, 2870, 10995, 6620, 543, 2780, 3292, 602, 666, 1451, 267, 2601, 267, 543, 1118, 3664, 1759, 593, 1239, 11378, 269, 634, 3804, 540, 3642, 568, 547, 1711, 6191, 602, 666, 1589, 543, 1451, 899, 3425, 267, 543, 666, 1685, 4247, 811, 8308, 267, 7561, 267, 543, 3533, 982, 3425, 563, 9590, 568, 513, 6385, 3395, 2361, 602, 814, 519, 1761, 547, 22499, 1082, 6080, 543, 1764, 2486, 538, 1713, 2081, 563, 3963, 1684, 1284, 10261, 3203, 881, 807, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13878, 30388, 1315, 17438, 1299, 10803, 1315, 5384, 10022, 1315, 1323, 28109, 24544, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 23413, 11276, 19594, 631, 5474, 543, 13583, 20445, 692, 8702, 547, 938, 1576, 782, 827, 22788, 11276, 12217, 543, 28077, 2831, 256, 1411, 1522, 1589, 602, 891, 524, 3291, 569, 7068, 616, 1152, 5921, 585, 1404, 5503, 267, 855, 789, 2965, 723, 513, 4241, 1686, 2407, 540, 4277, 2984, 543, 2189, 19216, 262, 3688, 269, 4653, 267, 649, 786, 4685, 883, 519, 1158, 540, 22788, 11276, 7703, 15670, 543, 9755, 267, 609, 513, 1445, 593, 1346, 1759, 538, 5125, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 1174, 1946, 865, 1082, 1004, 2648, 10655, 25447, 543, 21305, 22788, 11276, 12217, 2439, 4131, 781, 1376, 676, 1565, 827, 875, 22788, 11276, 12217, 3893, 741, 2012, 269, 9894, 596, 917, 602, 621, 2501, 689, 5518, 31187, 17619, 267, 945, 729, 1419, 1572, 834, 307, 539, 11276, 22172, 4438, 513, 10122, 7552, 538, 476, 5002, 273, 267, 646, 15189, 547, 9496, 513, 9676, 7703, 7750, 267, 632, 25977, 621, 5667, 7964, 2006, 3697, 269, 901, 957, 6273, 513, 20419, 626, 3957, 1849, 858, 867, 7137, 787, 2006, 547, 2721, 513, 2797, 20419, 18995, 519, 2680, 267, 799, 1287, 3366, 547, 519, 5137, 540, 519, 1101, 22788, 11276, 7703, 11442, 676, 24261, 543, 14986, 5760, 339, 558, 538, 27201, 267, 1715, 3840, 269, 4595, 1287, 267, 22788, 11276, 12217, 723, 1831, 11537, 15274, 585, 1453, 630, 663, 4079, 14386, 1472, 519, 8608, 780, 3086, 267, 1577, 781, 2263, 930, 4583, 4436, 22788, 11276, 7703, 3549, 269, 2290, 971, 2754, 568, 6008, 858, 267, 8547, 538, 476, 6642, 271, 676, 12540, 732, 974, 6008, 858, 267, 513, 9378, 560, 816, 945, 2813, 1507, 5433, 19246, 607, 533, 4532, 2313, 687, 269, 1879, 1200, 683, 15343, 342, 8068, 835, 1223, 581, 1031, 607, 513, 11442, 267, 1352, 3459, 6721, 1585, 2571, 3662, 5515, 269, 4173, 1034, 11599, 1374, 3357, 538, 476, 5002, 274, 950, 9400, 6008, 858, 267, 1200, 683, 15343, 342, 267, 2966, 513, 4745, 539, 7703, 267, 1634, 2221, 607, 519, 834, 1540, 11276, 7703, 2437, 1310, 5518, 17619, 781, 7237, 269, 1452, 5929, 12217, 666, 30321, 1164, 5777, 1851, 19216, 1813, 547, 741, 11108, 23477, 543, 3140, 4644, 269, 3962, 6008 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 782, 1535, 4501, 488, 11433, 507, 692, 295, 272, 630, 295, 760, 582, 4185, 2187, 4501, 478, 343, 4501, 488, 11433, 507, 535, 263, 535, 3287, 264, 3738, 815, 1535, 692, 307, 272, 630, 763, 3974, 2187, 4501, 478, 343, 4501, 488, 11433, 507, 575, 263, 575, 3287, 264, 3738, 815, 1535, 692, 1607, 568, 606, 29943, 1141, 454, 295, 272, 2340, 18568, 570, 272, 454, 4501, 478, 343, 4501, 488, 11433, 507, 1496, 535, 6600, 3287, 4297, 815, 1535, 2340, 18568, 575, 14116, 3287, 4297, 815, 1535, 476, 6540, 2171, 786, 3313, 519, 2175, 585, 519, 31177, 582, 4185, 547, 581, 3020, 543, 1287, 798, 519, 1482, 585, 519, 19080, 269, 634, 649, 1265, 519, 2175, 616, 519, 1482, 585, 1312, 31177, 582, 4185, 543, 19080, 269, 901, 2636, 721, 547, 9959, 602, 519, 538, 2772, 3948, 568, 811, 982, 606, 29943, 267, 922, 1945, 834, 8421, 1227, 6793, 257, 910, 606, 30424, 670, 272, 414, 485, 498, 307, 272, 454, 5785, 5785, 14343, 734, 454, 299, 272, 630, 299, 655, 2742, 476, 272, 2187, 4501, 478, 343, 19749, 354, 271, 2340, 18568, 1923, 343, 347, 815, 1535, 454, 4501, 478, 343, 283, 271, 2340, 18568, 1923, 343, 347, 815, 910, 343, 454, 263, 1492, 2013, 1535, 284, 271, 729, 3769, 538, 519, 1101, 29943, 267, 855, 621, 1223, 581, 593, 519, 2034, 835, 267, 1932, 2020, 27893, 281, 4706, 6654, 267, 6236, 519, 4214, 540, 6207, 1871, 563, 5785, 5785, 14343, 734, 454, 27893, 540, 670, 272, 912, 4501, 478, 343, 4501, 488, 11433, 507, 535, 263, 535, 3287, 264, 3738, 815, 1535, 692, 295, 272, 18502, 264, 8865, 1535, 19749, 354, 271, 454, 325, 3287, 264, 815, 4949, 17070, 347, 343, 2008, 325, 3287, 264, 815, 4949, 17070, 343, 1109, 30336, 1109, 2260, 2421, 700, 272, 454, 325, 3287, 264, 815, 630, 320, 17070, 32589, 454, 325, 263, 535, 3287, 264, 3738, 815, 535, 263, 630, 320, 17070, 32589, 3738, 815, 630, 320, 17070, 264, 11054, 343, 692, 325, 263, 535, 3287, 264, 3738, 815, 1535, 454, 5416, 17070, 264, 11054, 343, 815, 1535, 2340, 485, 498, 630, 320, 17070, 264, 11054, 815, 476, 272, 692, 6962, 689, 670, 272, 18502, 994, 4501, 478, 343, 19749, 354, 271, 1496, 535, 263, 535, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 630, 320, 17070, 264, 11054, 815, 476, 272, 692, 295, 272, 12500, 264, 8865, 1535, 283, 271, 454, 325, 3287, 264, 815, 4949, 17070, 347, 343, 2008, 325, 3287, 264, 815, 4949, 17070, 8987, 343, 264, 1109, 30336, 1109, 2260, 2421, 700, 272, 454, 325, 3287, 264, 815, 4949, 1532, 343, 454, 325, 3287, 264, 815, 630, 320, 1532, 32589, 454, 325, 263, 535, 3287, 264, 3738, 815, 535, 263, 630, 320, 1532, 32589, 3738, 815, 630, 320, 1532, 264, 11054, 343, 692, 325, 263, 535, 3287, 264, 3738, 815, 1535, 454, 5416, 1532, 264, 11054, 343, 815, 1535, 2340, 485, 498, 630, 320, 1532, 264, 11054, 815, 476, 272, 692, 6962, 689, 670, 272, 12500, 994, 4501, 478, 343, 283, 271, 1496, 535, 263, 535, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 630, 320, 1532, 264, 11054, 815, 476, 272, 692, 6962, 689, 670, 272, 18502, 264, 543, 670, 272, 12500, 994, 4501, 478, 343, 19749, 354, 271, 1496, 535, 263, 535, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 630, 320, 17070, 264, 11054, 815, 476, 272, 454, 663, 454, 4501, 478, 343, 283, 271, 1496, 535, 263, 535, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 630, 320, 1532, 264, 11054, 815, 476, 272, 454, 11004, 1150, 454, 4501, 478, 343, 4501, 488, 11433, 507, 1496, 535, 263, 535, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 1496, 630, 320, 17070, 264, 11054, 815, 630, 320, 1532, 264, 11054, 815, 272, 476, 6540, 5785, 5785, 14343, 734, 454, 27893, 540, 570, 272, 912, 4501, 478, 343, 4501, 488, 11433, 507, 575, 263, 575, 3287, 264, 3738, 815, 1535, 692, 307, 272, 18502, 264, 8865, 1535, 19749, 354, 271, 454, 326, 3287, 264, 815, 575, 343, 1532, 347, 343, 2008, 326, 3287, 264, 815, 4949, 1532, 343, 1109, 30336, 1109, 2260, 2421, 700, 272, 454, 326, 3287, 264, 815, 630, 320, 1532, 32589, 454, 326, 14116, 3287, 4297, 815, 575, 9230, 320, 1532, 32589, 264, 815, 630, 320, 1532, 264, 11054, 343, 692, 326, 14116, 3287, 4297, 815, 1535, 454, 5416, 1532, 264, 11054, 343, 815, 1535, 2340, 485, 498, 630, 320, 1532, 264, 11054, 815, 476, 272, 692, 6962, 689, 570, 272, 18502, 994, 4501, 478, 343, 19749, 354, 271, 1496, 575, 263, 575, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 630, 320, 1532, 264, 11054, 815, 476, 272, 692, 295, 272, 12500, 264, 8865, 1535, 283, 271, 454, 326, 3287, 264, 815, 4949, 1532, 347, 343, 2008, 326, 3287, 264, 815, 4949, 1532, 8987, 343, 264, 1109, 30336, 1109, 2260, 2421, 700, 272, 454, 326, 3287, 264, 815, 4949, 17070, 343, 454, 326, 3287, 264, 815, 630, 320, 17070, 32589, 454, 326, 263, 575, 3287, 264, 3738, 815, 535, 263, 630, 320, 17070, 32589, 3738, 815, 630, 320, 17070, 264, 11054, 343, 692, 326, 263, 575, 3287, 264, 3738, 815, 1535, 454, 5416, 17070, 264, 11054, 343, 815, 1535, 2340, 485, 498, 630, 320, 17070, 264, 11054, 815, 476, 272, 692, 6962, 689, 570, 272, 12500, 994, 4501, 478, 343, 283, 271, 1496, 575, 263, 575, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 630, 320, 17070, 264, 11054, 815, 476, 272, 692, 6962, 689, 570, 272, 18502, 264, 543, 570, 272, 12500, 994, 4501, 478, 343, 19749, 354, 271, 1496, 575, 263, 575, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 630, 320, 1532, 264, 11054, 815, 476, 272, 454, 663, 454, 4501, 478, 343, 283, 271, 1496, 575, 263, 575, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 630, 320, 17070, 264, 11054, 815, 476, 272, 454, 11004, 1150, 454, 4501, 478, 343, 4501, 488, 11433, 507, 1496, 575, 263, 575, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 1496, 630, 320, 1532, 264, 11054, 815, 630, 320, 17070, 264, 11054, 815, 272, 476, 6540, 5785, 5785, 14343, 734, 454, 3519, 7501, 689, 670, 272, 543, 570, 272, 454, 4501, 478, 343, 4501, 488, 11433, 507, 1496, 535, 263, 535, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 1496, 630, 320, 17070, 264, 11054, 815, 630, 320, 1532, 264, 11054, 815, 272, 23378, 663, 454, 4501, 478, 343, 4501, 488, 11433, 507, 1496, 575, 263, 575, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 1496, 630, 320, 1532, 264, 11054, 815, 630, 320, 17070, 264, 11054, 815, 272, 23378, 11004, 1150, 454, 4501, 478, 343, 4501, 488, 11433, 507, 1496, 535, 263, 535, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 3980, 478, 343, 4501, 488, 11433, 507, 1496, 575, 263, 575, 3287, 264, 3738, 815, 1535, 9948, 1109, 30336, 1109, 2260, 2421, 519, 1098, 6638, 3959, 540, 1412, 414, 485, 498, 7055, 4501, 478, 343, 4501, 488, 11433, 507, 1496, 535, 263, 535, 3287, 264, 3738, 815, 1535, 2340, 485, 498, 575, 263, 575, 3287, 264, 3738, 815, 1535, 23378, 810, 649, 666, 2161, 602, 454, 295, 272, 414, 485, 498, 570, 272, 3980, 368, 670, 272, 22382, 570, 272, 1109, 30336, 1109, 2260, 10472, 568, 1018, 649, 4941, 547, 6961, 454, 663, 811, 10756, 307, 272, 22382, 670, 272, 692, 8310, 12995, 676, 737, 1803, 330, 520, 7568, 630, 1220, 276, 268, 1556, 268, 6187, 476, 6734, 281, 5379, 281, 1704, 2020, 1012, 1948, 1015, 1109, 1220, 276, 268, 1556, 268, 6187, 476, 6021, 281, 6321, 281, 2641, 692, 13043, 325, 684, 454, 10817, 652, 692, 2162, 1234, 281, 6435, 7490, 2060, 12793, 256, 2439, 19136, 19739, 326, 19739, 326, 19739, 326, 19739, 326, 7064, 30314, 30314, 2439, 330, 1803, 330, 520, 7568, 454, 20175, 16588, 692, 19423, 1467, 692, 7224, 1966, 2433, 25589, 13043, 338, 3674, 29222, 0, 4338, 10803, 700, 624, 999, 454, 2421, 28199, 918, 1782, 692, 8802, 1833, 692, 6637, 476, 1724, 540, 707, 1433, 729, 5059, 593, 28547, 1239, 269, 3848, 476, 1691, 5654, 693, 10230, 1239, 269, 2060, 10230, 1239, 267, 513, 2078, 1063, 1079, 610, 811, 4632, 568, 8268, 676, 1210, 513, 5276, 9695, 780, 4415, 9695, 267, 649, 1589, 540, 835, 4756, 267, 799, 649, 1289, 962, 267, 607, 519, 8200, 4756, 269, 6271, 4756, 267, 799, 649, 1289, 2473, 267, 568, 519, 4830, 4756, 269, 769, 2259, 267, 972, 1419, 616, 1082, 4830, 4632, 267, 865, 649, 3717, 540, 1082, 2473, 781, 269, 1879, 972, 616, 1082, 2473, 781, 267, 713, 568, 1572, 2789, 9695, 269, 1879, 972, 568, 835, 2473, 267, 649, 1289, 621, 2582, 9695, 610, 2241, 9695, 780, 306, 17532, 22953, 692, 306, 17532, 9695, 13352, 513, 2786, 11060, 2078, 1063, 2473, 543, 962, 269, 1280, 1383, 267, 15475, 602, 962, 568, 519, 1942, 540, 513, 2182, 12210, 543, 2473, 568, 519, 2179, 540, 4859, 593, 519, 2182, 12210, 269, 1284, 1522, 979, 593, 519, 5769, 543, 1413, 909, 519, 5777, 543, 4859, 19206, 585, 513, 19619, 540, 12210, 11479, 543, 4729, 891, 607, 2798, 593, 513, 3113, 269, 3973, 267, 596, 1223, 2119, 547, 3514, 513, 5276, 2078, 1384, 312, 815, 513, 1341, 536, 311, 692, 1103, 713, 5276, 2078, 267, 513, 568, 519, 18448, 543, 536, 568, 519, 9386, 269, 1411, 1223, 1175, 3750, 4252, 519, 1239, 543, 2119, 547, 2721, 519, 1899, 540, 1655, 3514, 269, 17968, 267, 596, 666, 3514, 519, 1899, 676, 7446, 513, 543, 536, 2687, 547, 519, 6310, 4542, 1634, 607, 513, 9695, 1899, 269, 1677, 12446, 693, 519, 4542, 585, 513, 9695, 1899, 267, 798, 519, 1739, 780, 272, 269, 6056, 540, 1142, 8343, 607, 513, 6292, 1535, 328, 543, 586, 328, 780, 273, 269, 16294, 586, 317, 328, 607, 519, 834, 7257, 1540, 1871, 257, 3160, 547, 513, 1341, 536, 3495, 780, 274, 269, 16294, 519, 15895, 552, 328, 607, 519, 3017, 1063, 586, 328, 543, 586, 317, 328, 692, 275, 269, 7994, 4164, 11596, 513, 543, 536, 547, 7413, 519, 2040, 540, 519, 16302, 15895, 338, 267, 602, 568, 547, 7413, 1530, 328, 273, 780, 21296, 22953, 692, 2171, 666, 12446, 693, 2789, 9695, 676, 4657, 1900, 1079, 538, 519, 1184, 547, 835, 602, 2636, 2789, 4830, 4632, 269, 2334, 568, 10484, 273, 269, 2913, 586, 317, 328, 815, 513, 1341, 536, 272, 343, 272, 328, 1341, 536, 273, 343, 273, 328, 1341, 27250, 4415, 2789, 9695, 972, 568, 1869, 1152, 835, 18448, 267, 513, 267, 855, 972, 616, 2789, 9386, 14170, 269, 17266, 9695, 568, 4443, 547, 1397, 593, 513, 1079, 8820, 3113, 269, 17266, 9695, 568, 4443, 547, 12337, 1210, 513, 9498, 630, 24392, 621, 4991, 7168, 28457, 748, 609, 811, 982, 827, 476, 1015, 7422, 1040, 1717, 267, 538, 2259, 267, 2789, 9695, 568, 1031, 811, 1419, 982, 2582, 9695, 267, 1317, 538, 2259, 972, 2356, 616, 2789, 2188, 3238, 538, 10230, 3347, 269, 2659, 1433, 1281, 711, 3382, 2789, 9695, 267, 865, 594, 786, 8263, 602, 621, 786, 711, 2097, 909, 593, 519, 6673, 981, 780, 763, 25355, 20556, 692, 2690, 1312, 2582, 543, 2789, 9695, 267, 972, 568, 513, 2078, 1851, 519, 4890, 2418, 585, 962, 267, 519, 19034, 2418, 267, 543, 519, 15895, 338, 269, 594, 1289, 713, 519, 25355, 2078, 1384, 306, 344, 328, 273, 815, 5204, 317, 328, 273, 1341, 1530, 328, 273, 692, 6546, 568, 267, 596, 666, 1589, 540, 519, 19034, 2418, 543, 519, 15895, 338, 607, 13902, 547, 835, 1776, 267, 609, 519, 4890, 2418, 607, 513, 30494, 269, 1548, 519, 25355, 2078, 6645, 596, 568, 602, 519, 8390, 540, 519, 4890, 586, 781, 2141, 568, 3152, 982, 519, 8390, 540, 519, 19034, 586, 781, 269, 901, 3959, 540, 2539, 8390, 585, 519, 9695, 1899, 568, 835, 7664, 540, 519, 8360, 834, 2958, 1833, 547, 519, 1611, 3010, 3080, 18802, 689, 513, 9695, 568, 713, 5223, 267, 1572, 681, 273, 1384, 305, 273, 815, 5204, 317, 328, 273, 13478, 344, 328, 273, 692, 2171, 666, 1294, 689, 519, 25355, 2078, 602, 713, 5223, 666, 2760, 581, 3152, 982, 835, 269, 634, 6251, 621, 568, 547, 835, 267, 519, 4130, 519, 15895, 338, 543, 519, 1732, 519, 3514, 540, 519, 9695, 1899, 780, 2252, 649, 1491, 519, 4009, 3597 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1326, 519, 968, 3061, 687, 9232, 540, 1565, 3077, 1893, 16064, 9232, 3079, 540, 968, 535, 9232, 3738, 513, 594, 1862, 1975, 3166, 7304, 788, 564, 819, 799, 568, 1419, 512, 719, 539, 607, 519, 1034, 1271, 3652, 543, 741, 17756, 543, 4487, 8231, 538, 1862, 15232, 540, 4974, 267, 855, 594, 1179, 3634, 6267, 1174, 875, 547, 946, 543, 1421, 12896, 3901, 1731, 522, 1457, 689, 5580, 19444, 630, 589, 273, 3738, 547, 2539, 13591, 630, 645, 272, 3738, 4436, 972, 941, 538, 269, 1280, 1893, 6267, 1174, 875, 547, 946, 519, 1863, 1323, 7288, 16158, 15222, 1436, 3028, 547, 1832, 6486, 1862, 2659, 5961, 538, 519, 4845, 1644, 547, 606, 3390, 1657, 6902, 621, 568, 2523, 3730, 585, 1893, 6863, 1565, 23511, 13206, 5979, 267, 3110, 20393, 267, 3110, 5055, 3092, 946, 621, 811, 1419, 2221, 267, 621, 3833, 1419, 23511, 9218, 6902, 513, 8239, 1433, 786, 2285, 596, 513, 1232, 1836, 4396, 3490, 538, 824, 269, 1703, 941, 6959, 538, 1250, 6486, 707, 17927, 3738, 3773, 883, 1323, 7288, 3085, 1862, 13823, 1027, 676, 835, 540, 519, 23698, 1317, 865, 1082, 540, 721, 723, 1044, 911, 15436, 1242, 676, 547, 269, 23433, 9647, 2762, 4636, 267, 621, 1869, 4667, 899, 519, 968, 3061, 687, 9232, 1565, 256, 1677, 1323, 7288, 267, 596, 786, 581, 2111, 547, 3180, 513, 6643, 609, 4436, 2807, 634, 6101, 27119, 13737, 538, 2104, 2665, 952, 596, 917, 875, 519, 1964, 540, 519, 23698, 1317, 865, 1082, 721, 256, 4438, 606, 4890, 6643, 1101, 476, 273, 4374, 1282, 1101, 2185, 3108, 594, 6026, 4223, 515, 342, 1413, 4464, 547, 9750, 1250, 1565, 563, 299, 16331, 590, 752, 527, 2098, 2106, 752, 531, 267, 9478, 781, 14134, 338, 12834, 267, 22868, 769, 623, 2176, 17625, 1280, 476, 1626, 5729, 6196, 338, 267, 769, 3733, 10326, 10370, 7879, 267, 24090, 19716, 476, 2735, 275, 670, 2692, 7665, 24793, 11261, 5384, 267, 7454, 3798, 332, 20128, 1518, 7591, 29812, 476, 1708, 271, 267, 19478, 18264, 22761, 1280, 5664, 3427, 4841, 21584, 267, 623, 14040, 5510, 619, 4653, 14033, 2725, 267, 1937, 20321, 9502, 6426, 267, 6682, 6577, 17510, 25890, 13555, 7089, 267, 0, 299, 550, 2812, 941, 835, 540, 519, 1101, 7031, 30042, 538, 713, 3148, 543, 713, 568, 2219, 547, 723, 7018, 28069, 1063, 476, 1724, 267, 1822, 1107, 476, 280, 267, 1822, 1296, 3516, 269, 2073, 30776, 568, 513, 1507, 12593, 799, 5161, 540, 519, 16916, 700, 269, 524, 6081, 30213, 543, 3670, 1644, 3552, 26908, 269, 1358, 616, 4749, 5916, 609, 7573, 267, 799, 814, 513, 2147, 5986, 942, 269, 681, 20600, 543, 4990, 519, 5452, 269, 30766, 2812, 616, 513, 1434, 2707, 540, 6171, 645, 272, 630, 628, 3554, 710, 1070, 645, 280, 630, 9110, 622, 1070, 4401, 267, 16903, 543, 13058, 269, 1358, 616, 849, 1031, 607, 8631, 532, 538, 546, 531, 1612, 987, 553, 543, 1625, 328, 585, 14254, 610, 16152, 269, 21378, 529, 2913, 779, 979, 936, 930, 540, 1346, 1631, 256, 476, 30766, 2812, 1332, 1134, 896, 1970, 13226, 3403, 2175, 267, 4352, 16903, 267, 9436, 267, 11379, 267, 543, 16247, 949, 581, 1031, 585, 8770, 1790, 3233, 11934, 907, 30766, 2812, 616, 606, 1561, 15344, 7693, 267, 2495, 789, 723, 513, 3099, 540, 2298, 2157, 543, 666, 581, 4824, 609, 13226, 269, 631, 2426, 10365, 543, 21378, 2812, 616, 2653, 547, 17708, 339, 538, 30660, 543, 666, 581, 11751, 538, 1034, 2706, 5658, 1115, 543, 1072, 15945, 269, 9737, 519, 1114, 1644, 2249, 10316, 5314, 7496, 2291, 269, 6258, 875, 543, 950, 547, 4894, 713, 10959, 5048, 267, 834, 303, 3174, 540, 21378, 2812, 538, 476, 1001, 279, 282, 15867, 1186, 270, 13328, 3204, 687, 18025, 3174, 10829, 640, 689, 4584, 8638, 2580, 834, 19859, 560, 4450, 540, 21378, 559, 5452, 630, 299, 839, 524, 6081, 30213, 264, 2580, 834, 17359, 7797, 630, 5472, 715, 19153, 2567, 476, 8182, 7597, 267, 30766, 2812, 267, 6151, 2580, 834, 299, 550, 2812, 267, 9921, 5452, 267, 11273, 267, 23017, 267, 1510, 6070, 829, 476, 1911, 575, 2580, 30766, 2812, 1107, 13474, 13870, 267, 29283, 267, 1401, 7964, 267, 543, 7383, 338, 10803, 267, 4179, 2517, 523, 25769, 3820, 11320, 27651, 21703, 286, 27583, 284, 299, 550, 559, 261, 1245, 573, 284, 4200, 278, 32146, 278, 3199, 267, 10374, 6609, 568, 1114, 689, 22816, 573, 1092, 267, 15080, 17596, 3606, 8100, 689, 5239, 476, 1001, 276, 267, 2353, 4930, 17596, 3606, 8100, 267, 15080, 609, 5667, 712, 1027, 6898, 689, 5412, 476, 1001, 278, 267, 11300, 12780, 21922, 27691, 732, 2704, 833, 17821, 267, 623, 8500, 630, 3847, 1070, 3039, 267, 543, 2699, 630, 2431, 264, 21378, 2812, 267, 595, 2643, 785, 4592, 1602, 1756, 6978, 5544, 543, 6565, 666, 12027, 267, 16549, 3233, 13005, 531, 630, 684, 9917, 961, 539, 21378, 2812, 609, 513, 6960, 6079, 10359, 543, 606, 10538, 268, 1042, 28422, 344, 1194, 517, 1070, 4414, 12751, 630, 2775, 16009, 6079, 10359, 543, 2699, 28422, 344, 1194, 517, 1070, 30179, 518, 781, 281, 513, 1804, 6960, 21378, 559, 799, 568, 1419, 2808, 519, 834, 10585, 257, 21378, 559, 538, 519, 2136, 2276, 267, 700, 1515, 323, 281, 519, 5010, 3044, 585, 1804, 3039, 21378, 2812, 538, 7262, 4516, 269, 4855, 856, 875, 547, 1332, 707, 1378, 17708, 1154, 10365, 267, 2630, 269, 30766, 2812, 616, 1743, 2683, 538, 9343, 3670, 547, 5722, 6279, 6306, 269, 2073, 634, 2136, 2276, 729, 519, 3791, 6122, 8172, 2197, 585, 21378, 559, 2504, 538, 476, 1001, 279, 267, 609, 519, 6022, 1787, 3148, 540, 9456, 6115, 543, 519, 27924, 3443, 8518, 548, 607, 519, 1034, 11327, 1533, 4525, 269, 12989, 568, 513, 1592, 540, 519, 1034, 1455, 21378, 559, 3676, 269, 29733, 17755, 2465, 267, 834, 4002, 5253, 543, 18181, 2580, 476, 1220, 275, 9990, 267, 2480, 1026, 2996, 269, 623, 8500, 30766, 2812, 616, 6738, 538, 15417, 3037, 267, 4646, 676, 15027, 23419, 267, 540, 623, 8500, 10276, 13305, 601, 599, 538, 3162, 4639, 5333, 543, 616, 6870, 538, 519, 3864, 5742, 676, 513, 13363, 539, 5071, 566, 540, 18882, 630, 11520, 302, 264, 543, 538, 5333, 607, 606, 813, 749, 566, 546, 262, 10594, 710, 733, 337, 20110, 331, 19902, 630, 288, 8016, 1040, 1358, 2811, 849, 14095, 609, 31833, 267, 4401, 267, 16903, 267, 11379, 543, 6775, 269, 30766, 559, 7031, 616, 26815, 11259, 547, 10980, 543, 1164, 2837, 543, 1332, 1134, 538, 32527, 520, 3832, 9774, 267, 6923, 25579, 5109, 519, 3037, 609, 5567, 269, 1703, 616, 513, 1297, 540, 8677, 540, 21378, 2812, 543, 891, 2097, 538, 1114, 4778, 971, 607, 5835, 267, 2699, 267, 10538, 267, 6960, 543, 3109, 269, 5192, 5452, 610, 3819, 21378, 2812, 269, 30766, 2812, 616, 849, 1031, 538, 1082, 6237, 8677, 540, 26265, 269, 11531, 1250, 21378, 559, 19997, 630, 1729, 3049, 476, 2568, 264, 568, 8949, 630, 628, 3471, 547, 10906, 945, 17408, 8898, 519, 11600, 264, 543, 594, 723, 2943, 547, 1118, 519, 546, 531, 585, 14182, 269, 30766, 2812, 616, 4122, 13881, 538, 18629, 538, 513, 12403, 6438, 8670, 1572, 737, 1731, 267, 610, 737, 1731, 530, 582, 267, 835, 540, 519, 8286, 1004, 3548, 609, 18629, 781, 3084, 1426, 267, 3614, 5028, 6366, 30103, 269, 30766, 559, 2030, 269, 30766, 2812, 2270, 519, 25558, 523, 6950, 267, 561, 1393, 514, 543, 18410, 1314, 13183, 514, 267, 543, 4874, 12584, 18260, 9761, 7408, 269, 634, 5452, 1058, 581, 521, 1144, 476, 274, 547, 476, 275, 1298, 22015, 637, 630, 272, 476, 272, 22397, 482, 275, 547, 476, 272, 476, 272, 22397, 482, 273, 538, 264, 2620, 269, 898, 568, 849, 1271, 602, 519, 3037, 568, 1500, 2003, 762, 543, 18290, 6954, 865, 602, 694, 5338, 1223, 581, 2944, 693, 513, 7833, 3178, 269, 769, 4237, 12147, 2964, 1242, 2477, 267, 21378, 2812, 616, 12630, 1210, 10286, 24200, 267, 855, 1082, 824, 2127, 1869, 1688, 13739, 269, 19663, 21378, 2812, 693, 1753, 568, 11207, 2009, 269, 2672, 1243, 547, 519, 2481, 704, 267, 16830, 16374, 540, 891, 4525, 267, 21378, 2812, 616, 5097, 1163, 528, 2507, 9537, 666, 581, 9286, 2687, 547, 741, 2450, 267, 2436, 789, 616, 8237, 610, 2898, 267, 610, 7387, 539, 610, 5667, 17850, 539, 269, 7324, 519, 1114, 26908, 540, 3552, 21378, 2812, 267, 700, 269, 7259, 23653, 568, 2808, 547, 581, 519, 28738, 3218, 540, 519, 16916, 21378, 559, 543, 568, 1631, 3622, 9286, 607, 700, 269, 524, 6081, 30213, 1016, 4944, 269, 30766, 559, 8286, 616, 1034, 7839, 2429, 3162, 5607, 267, 519, 11335, 4525, 543, 4639, 5607, 269, 4826, 30766, 2812, 4826, 21378, 2812, 616, 1507, 267, 15496, 2371, 602, 10581, 593, 519, 2627, 540, 4195, 1216, 269, 14117, 21378, 2812, 616, 1031, 547, 1118, 513, 1875, 17898, 5390, 12403, 267, 799, 568, 835, 540, 519, 1101, 4396, 3536, 15337, 1014, 2021, 3049, 741, 9002, 269, 23268, 25151, 666, 2039, 689, 1769, 3039, 547, 2620, 13711, 267, 607, 1134, 607, 1373, 16009, 267, 15454, 267, 6960, 267, 3109, 610, 2138, 339, 1194, 269, 5901, 12015, 21378, 2812, 538, 513, 20220, 610, 5068, 8708, 267, 23295, 835, 602, 568, 2011, 31259, 269, 1358, 616, 14095, 609, 3940, 543, 8192, 6775, 267, 543, 616, 1419, 5156, 513, 968, 27273, 25988, 6100, 769, 3345, 3013, 1454, 540, 519, 23505, 720, 568, 538, 9456, 6115, 267, 7187, 27924, 267, 543, 7262, 4516, 1141, 5671, 518, 3395, 4005, 2175, 7173, 841, 269, 30766, 2812, 666, 581, 13881, 865, 8898, 267, 10351, 3990, 267, 22304, 267, 19323, 610, 23017, 1107, 519, 1034, 1455, 7041, 1505, 269, 634, 15496, 5956, 689, 519, 1970, 25958, 19512, 543, 7930, 7575, 16057, 267, 865, 10777, 1035, 1886, 13926, 15496, 269, 2311, 519, 1439, 540, 519, 2034, 1554, 543, 593, 519, 3791, 1554, 1310, 519, 6679, 540, 519, 5810, 267, 789, 2673, 4625, 543, 519, 7990, 5956, 547, 28201, 269, 4935, 267, 4573, 10402, 8412, 568, 2629, 547, 1711, 1007, 543, 14909, 8677, 269, 19676, 543, 21378, 2812, 616, 849, 11273, 1927, 538, 737, 327, 747, 10972, 267, 513, 2442, 8670, 538, 519, 4095, 1016, 29657, 630, 19328, 543, 9031, 5148, 513, 2147, 8670, 267, 737, 2313, 926, 267, 1500, 538, 5527, 267, 568, 2808, 835, 540, 1079, 3084, 8286, 269, 634, 10540, 338, 616, 1073, 14075, 267, 5594, 1102, 3836, 267, 543, 827, 476, 272, 269, 276, 1298, 22015, 637, 630, 276, 22397, 482, 279, 538, 264, 1279, 269, 4475, 267, 519, 12593, 30776, 13408, 5722, 26908, 538, 3670, 2249, 281, 267, 30766, 559, 568, 3834, 334, 29701, 267, 799, 1797, 519, 28422, 344, 1194, 976, 540, 519, 10351, 3215, 6079, 3251, 538, 519, 2666, 543, 3330, 519, 6079, 10359, 269, 0, 12892, 1983, 543, 3069, 540, 2247, 630, 2414, 300, 264, 616, 1079, 540, 519, 1034, 1271, 21876, 540, 1514, 16169, 538, 1453, 609, 10295, 8552, 4524, 630, 32359, 282, 31578, 15801, 1156, 1696, 620, 563, 2735, 276, 1040, 10251, 267, 1453, 609, 20284, 1397, 16607, 1646, 543, 15717, 538, 1312, 11890, 630, 289, 16336, 15801, 1156, 1696, 620, 563, 2735, 276, 1040, 30975, 609, 1514, 3346, 568, 835, 540, 519, 10368, 7355, 585, 20284, 267, 543, 585, 1082, 1296, 267, 513, 16607, 1677, 300, 729, 2808, 519, 2601, 1946, 1453, 609, 20284, 2919, 3908, 1514, 3347, 543, 729, 9833, 607, 606, 1898, 4183, 540, 10295, 630, 289, 16336, 15801, 1156, 1696, 620, 563, 2735, 276, 282, 15776, 12340, 543, 2605, 603, 454, 2735, 279, 1040, 769, 2487, 960, 593, 26003, 1944, 1606, 2448, 1944, 630, 292, 1700, 306, 264, 3069, 267, 31578, 15801, 1156, 27210, 1001, 275, 264, 15091, 602, 2042, 609, 1514, 3346, 543, 2792, 1851, 7606, 609, 20284, 616, 3361, 676, 17799, 538, 1646, 540, 6568, 269, 7869, 540, 2247, 568, 513, 5042, 5057, 540, 6568, 267, 606, 2702, 547, 1174, 2790, 2829, 540, 824, 1004, 269, 1717, 267, 6568, 568, 711, 1152, 513, 2339, 540, 1620, 1866, 685, 4606, 267, 855, 849, 606, 2702, 547, 2746, 5265, 538, 1114, 1514, 3871, 267, 799, 568, 1572, 2048, 655, 10899, 6568, 685, 630, 289, 16336, 15801, 1156, 454, 1001, 275, 282, 717, 17311, 1696, 620, 563, 1001, 275, 1040, 4475, 267, 6568, 543, 1677, 300, 616, 1419, 6098, 538, 7459, 547, 2087, 1514, 1983, 1851, 1453, 609, 20284, 269, 10251, 267, 4352, 7459, 6322, 693, 3384, 1677, 300, 2087, 2773, 593, 6101, 1677, 300, 4247, 789, 723, 711, 1044, 3254, 547, 2087, 1483, 1620, 540, 824, 1004, 267, 610, 547, 3310, 519, 1514, 8647, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14157, 269, 476, 7597, 267, 3143, 269, 476, 273, 630, 1708, 271, 994, 1103, 2487, 1296, 267, 676, 10962, 30490, 23223, 1218, 883, 27772, 2339, 1949, 267, 1007, 11775, 540, 544, 831, 616, 7000, 269, 2986, 891, 1007, 11775, 267, 519, 30490, 1202, 15975, 267, 30490, 5033, 574, 13926, 543, 30490, 21367, 528, 616, 519, 1034, 1271, 269, 1358, 616, 1572, 30490, 2326, 1813, 547, 1875, 13700, 20190, 30490, 6724, 269, 5440, 1670, 21367, 832, 3180, 11683, 3570, 4642, 12331, 693, 519, 8728, 267, 17598, 1875, 268, 8475, 1014, 7194, 267, 799, 2306, 873, 2101, 11134, 585, 16734, 30490, 7061, 19106, 269, 14755, 3695, 17271, 30490, 21367, 528, 267, 513, 9621, 1259, 547, 8275, 30490, 21367, 528, 568, 547, 16578, 21367, 2032, 883, 824, 5686, 540, 30490, 2326, 269, 5455, 547, 1631, 267, 8097, 1235, 723, 2919, 930, 2553, 267, 971, 607, 575, 908, 267, 546, 14563, 267, 1164, 2604, 267, 8818, 1198, 543, 2182, 1448, 3346, 547, 6338, 21367, 2032, 883, 1585, 30490, 2326, 267, 543, 849, 789, 723, 6594, 519, 30490, 3601, 540, 519, 13251, 21367, 2032, 269, 769, 713, 2689, 267, 649, 17412, 519, 11347, 29622, 593, 17271, 30490, 21367, 528, 10457, 543, 13251, 21367, 8481, 538, 30490, 1202, 22399, 543, 5033, 22015, 1023, 269, 634, 5383, 543, 11393, 540, 1114, 2553, 616, 5941, 269, 14755, 267, 519, 1761, 20209, 1878, 540, 30490, 21367, 832, 616, 9916, 269, 769, 519, 1439, 267, 519, 19773, 540, 713, 8362, 22002, 1382, 2361, 568, 2016, 563, 11900, 17508, 540, 32060, 538, 30305, 1570, 585, 519, 7271, 1353, 540, 1896, 17027, 2238, 454, 1708, 271, 267, 476, 7597, 630, 273, 2567, 476, 271, 2918, 6200, 269, 8222, 281, 476, 1015, 269, 278, 5392, 279, 270, 2355, 269, 7597, 269, 1001, 3445, 272, 2420, 454, 1103, 713, 960, 267, 649, 15974, 513, 8471, 1505, 540, 8600, 23743, 548, 3889, 538, 30305, 14848, 267, 799, 2488, 513, 1434, 2203, 585, 4974, 519, 2168, 3601, 540, 30305, 2326, 896, 8833, 269, 2859, 11932, 267, 972, 616, 930, 10486, 1063, 23743, 548, 4702, 543, 17027, 2238, 267, 799, 26182, 721, 547, 2285, 930, 2009, 3137, 547, 519, 7271, 585, 17027, 2238, 899, 13091, 543, 15027, 269, 634, 23743, 548, 3889, 540, 30305, 14848, 666, 581, 6913, 676, 11851, 532, 796, 807, 343, 658, 610, 536, 807, 343, 658, 2566, 593, 519, 8465, 14041, 267, 799, 568, 1360, 2147, 547, 519, 30305, 2497, 540, 519, 3047, 543, 519, 5250, 540, 7823, 26642, 593, 519, 3047, 781, 2627, 269, 4595, 519, 3047, 814, 606, 19514, 2527, 3892, 543, 1582, 268, 8527, 566, 607, 1134, 267, 519, 8090, 540, 24880, 585, 10824, 616, 1114, 689, 1142, 824, 269, 3371, 538, 713, 960, 267, 649, 1448, 856, 602, 972, 568, 513, 3017, 538, 16070, 6991, 1063, 519, 5087, 21571, 543, 5045, 21571, 267, 799, 949, 9244, 3310, 519, 27177, 543, 20569, 2238, 2282, 519, 20337, 269, 901, 960, 2488, 513, 2009, 7271, 7778, 585, 1896, 17027, 9259, 971, 607, 16767, 267, 22747, 267, 543, 18626, 20847, 269, 9122, 593, 3624, 781, 2027, 27177, 267, 649, 15974, 513, 2339, 2095, 8367, 543, 1865, 519, 10066, 540, 2339, 2095, 538, 1469, 269, 1284, 1448, 856, 602, 519, 17027, 2534, 7271, 538, 3624, 543, 519, 4525, 1472, 6676, 6302, 568, 3833, 1114, 269, 634, 2339, 2095, 8367, 666, 581, 1134, 4294, 547, 2491, 519, 3123, 540, 13091, 12469, 538, 3624, 267, 519, 3892, 540, 7777, 2200, 267, 543, 519, 2009, 3123, 540, 3282, 538, 519, 5664, 5101, 2477, 269, 14755, 267, 621, 849, 2488, 513, 1007, 7811, 5583, 585, 17782, 519, 13091, 12469, 543, 19175, 532, 519, 7777, 2200, 538, 3624, 269, 901, 960, 2488, 513, 1007, 2856, 585, 3425, 547, 2057, 2067, 12469, 267, 547, 1174, 519, 2067, 9259, 593, 519, 3047, 267, 543, 547, 1118, 7787, 946, 540, 2067, 2200, 563, 1708, 271, 267, 476, 7597, 630, 273, 2567, 476, 271, 2767, 26341, 269, 8222, 281, 476, 1015, 269, 278, 5392, 279, 270, 2355, 269, 7597, 269, 1001, 280, 1626, 4649, 454, 763, 6671, 6419, 19280, 3631, 267, 5385, 5872, 267, 2706, 7721, 4219, 630, 10345, 264, 5872, 543, 5595, 5385, 630, 14701, 264, 5872, 3631, 11341, 547, 519, 32447, 6475, 2497, 538, 519, 2326, 267, 941, 6069, 827, 538, 610, 1354, 519, 476, 4198, 271, 781, 267, 519, 942, 950, 972, 729, 2370, 8097, 2963, 269, 4595, 519, 476, 3192, 271, 781, 267, 811, 543, 811, 8097, 2164, 585, 519, 32447, 6475, 2829, 723, 1044, 4080, 269, 1452, 8097, 2164, 6700, 602, 519, 6671, 6419, 19280, 3631, 991, 5355, 269, 1775, 264, 3509, 8097, 2164, 267, 1519, 519, 6475, 1648, 2000, 1601, 26034, 630, 292, 30600, 1070, 2473, 11920, 10338, 26034, 630, 311, 3008, 1070, 543, 2473, 11920, 2584, 29741, 1258, 26034, 630, 311, 4916, 1070, 5815, 602, 972, 616, 744, 1700, 606, 687, 538, 1840, 547, 744, 273, 1700, 606, 687, 538, 27911, 267, 543, 602, 519, 6871, 540, 744, 1700, 606, 687, 949, 3914, 476, 1789, 260, 610, 811, 269, 901, 5267, 602, 519, 10323, 2203, 543, 16692, 2203, 1312, 991, 547, 5355, 267, 538, 799, 782, 5135, 606, 687, 616, 10924, 547, 581, 744, 273, 1700, 606, 687, 269, 13797, 264, 11153, 8097, 2164, 267, 1519, 18325, 5982, 32250, 267, 2473, 3008, 543, 6419, 9764, 27524, 549, 1143, 26034, 630, 311, 300, 7374, 1070, 2303, 602, 851, 540, 476, 275, 338, 9211, 4283, 883, 476, 274, 323, 25057, 543, 18302, 883, 519, 476, 274, 323, 9211, 538, 519, 1184, 540, 8108, 8407, 689, 1863, 8444, 269, 634, 1198, 540, 519, 20771, 6419, 4090, 593, 519, 6419, 4090, 540, 513, 13557, 4496, 568, 2484, 4130, 982, 519, 8095, 6419, 8090, 269, 1452, 1683, 519, 2963, 540, 3695, 519, 6935, 1063, 6419, 4090, 543, 5122, 5706, 2032, 540, 519, 6419, 4496, 269, 25831, 264, 4635, 5860, 1599, 3069, 630, 5263, 307, 264, 547, 3514, 2168, 3601, 11729, 7899, 540, 2164, 585, 1082, 2326, 267, 855, 972, 2291, 3978, 7965, 585, 6419, 2326, 269, 901, 568, 1813, 547, 6419, 19280, 1648, 568, 3769, 538, 519, 5385, 9756, 1648, 267, 799, 814, 1044, 1265, 1100, 5039, 1670, 4082, 865, 2484, 267, 543, 814, 547, 581, 19034, 1210, 1585, 3631, 538, 667, 10499, 9819, 269, 1452, 13753, 1683, 606, 4316, 547, 2087, 6419, 19280, 3631, 269, 4475, 267, 938, 1895, 6069, 1614, 3631, 540, 6419, 19280, 538, 6093, 6419, 2326, 267, 789, 1519, 606, 744, 476, 273, 335, 621, 10719, 656, 6475, 2203, 585, 6419, 27911, 630, 23966, 302, 2203, 1070, 513, 1007, 621, 10719, 656, 6475, 2203, 585, 6419, 4496, 630, 296, 4932, 2203, 1070, 543, 513, 1284, 1170, 6475, 6292, 630, 310, 7968, 264, 2203, 585, 519, 5169, 540, 6419, 19280, 1648, 269, 1234, 680, 5217, 519, 10323, 2203, 543, 16692, 2203, 609, 519, 594, 292, 302, 2203, 267, 519, 6419, 3889, 540, 3213, 267, 15281, 267, 19923, 17585, 539, 8095, 601, 7542, 27866, 607, 1134, 607, 9197, 543, 23621, 17585, 539, 8095, 601, 7542, 27866, 666, 581, 6045, 269, 634, 13829, 540, 519, 6419, 4090, 593, 519, 29447, 1543, 538, 829, 990, 12921, 924, 22200, 2572, 5487, 272, 1700, 343, 306, 337, 343, 300, 333, 302, 274, 666, 849, 581, 6045, 267, 585, 799, 972, 723, 1044, 1082, 5571, 13882, 827, 519, 524, 566, 14778, 269, 2060, 519, 594, 4932, 2203, 267, 649, 666, 2491, 12007, 569, 519, 6935, 540, 519, 6419, 4090, 609, 519, 759, 6638, 585, 1142, 540, 3171, 267, 3213, 267, 15281, 267, 19923, 8407, 267, 543, 3514, 519, 14258, 540, 519, 5706, 2032, 540, 15281, 290, 340, 18585, 8957, 1449, 2837, 543, 519, 19923, 17585, 539, 1377, 269, 2060, 519, 654, 7968, 2203, 267, 649, 666, 2491, 1946, 3171, 267, 3213, 267, 15281, 4496, 267, 15281, 290, 340, 23212, 267, 3171, 274, 302, 275, 543, 5487, 271, 269, 278, 306, 337, 271, 269, 274, 300, 333, 302, 274, 27911, 723, 1114, 4354, 773, 2837, 2418, 269, 634, 1007, 621, 10719, 656, 6475, 2203, 568, 1114, 689, 519, 8106, 2203, 538, 519, 1739, 1614, 10026, 4162, 269, 3689, 267, 519, 521, 9211, 538, 1863, 476, 274, 323, 5912, 4496, 8444, 616, 5258, 883, 1079, 2694, 950, 789, 1106, 513, 4496, 610, 18585, 269, 2290, 851, 540, 891, 521, 9211, 4283, 883, 519, 546, 25057, 543, 1689, 883, 519, 546, 9211, 269, 543, 519, 824, 851, 540, 1346, 9211, 616, 519, 1863, 9211, 799, 616, 1100, 3476, 1572, 519, 521, 9211, 269, 5822, 267, 1152, 519, 546, 9211, 30939, 519, 9018, 10739, 540, 606, 9357, 4295, 538, 513, 4496, 610, 18585, 949, 1106, 621, 10719, 656, 9211, 609, 513, 1978, 5506, 267, 1247, 519, 6967, 546, 9211, 616, 2199, 9211, 269, 12059, 267, 2436, 538, 513, 6419, 4496, 610, 538, 513, 6419, 12547, 267, 519, 5912, 540, 519, 621, 10719, 656, 9211, 568, 519, 8095, 17466, 5912, 2630, 519, 4354, 773, 2837, 267, 543, 519, 5912, 5506, 11081, 609, 1449, 2837, 2810, 269, 634, 5912, 540, 519, 621, 10719, 656, 9211, 7140, 883, 519, 8095, 23949, 8817, 5912, 950, 519, 2837, 568, 1657, 519, 4354, 773, 2837, 269, 769, 713, 1957, 267, 1101, 267, 649, 6338, 1896, 6093, 8097, 2164, 540, 519, 32447, 6475, 2829, 269, 3973, 267, 649, 1459, 519, 1007, 6419, 19280, 3631, 6069, 676, 938, 1895, 543, 5659, 519, 10026, 3604, 1063, 519, 1007, 3631, 543, 519, 6671, 3631, 269, 7053, 267, 649, 1448, 856, 519, 4161, 547, 519, 2104, 960, 563, 22860, 3749, 3070, 540, 1614, 8820, 22263, 2981, 4908, 8552, 585, 1614, 7400, 11379, 10570, 3154, 454, 1708, 271, 267, 476, 7597, 630, 273, 2567, 476, 22903, 1001, 269, 8222, 281, 476, 1015, 269, 278, 5392, 279, 270, 2355, 269, 7597, 269, 1001, 3445, 280, 5038, 454, 4415, 519, 1646, 540, 8955, 2029, 538, 519, 2361, 540, 25852, 267, 16600, 1922, 770, 25852, 814, 1831, 606, 1271, 1382, 2361, 269, 22702, 609, 519, 2757, 2029, 267, 16600, 9724, 25852, 666, 581, 7691, 711, 1152, 896, 10156, 13942, 1599, 267, 855, 849, 593, 513, 4130, 4336, 267, 799, 666, 811, 3533, 2992, 519, 6422, 1184, 269, 1284, 1459, 606, 10763, 9819, 540, 519, 2407, 1614, 8820, 630, 274, 291, 264, 17396, 8552, 609, 513, 13113, 8653, 1079, 8820, 630, 273, 291, 264, 21714, 13942, 23508, 269, 3776, 4358, 1448, 568, 519, 3070, 540, 519, 9804, 2349, 5255, 4834, 585, 1614, 7400, 11379, 10570, 3154, 538, 519, 476, 274, 291, 942, 6389, 676, 1210, 519, 16879, 1606, 331, 823, 11532, 267, 5470, 1599, 543, 22263, 6879, 3424, 11532, 540, 476, 274, 291, 22263, 2981, 269, 1452, 3741, 616, 1031, 547, 5173, 543, 14458, 519, 3791, 19195, 26445, 3830, 6383, 676, 519, 3926, 267, 543, 519, 10763, 9819, 540, 1614, 8820, 22263, 2981, 4908, 8552, 693, 570, 815, 476, 271, 568, 5833, 269, 1284, 18082, 519, 25107, 3070, 676, 1210, 6128, 3301, 269, 1635, 9236, 519, 13502, 609, 519, 8097, 2164, 267, 609, 519, 24267, 1899, 2914, 5954, 6378, 267, 649, 666, 3489, 519, 2078, 1851, 519, 538, 3620, 558, 15119, 3376, 2287, 267, 519, 9756, 15497, 14170, 543, 519, 1614, 8820, 8552, 4162, 267, 799, 666, 581, 4857, 11050, 569, 676, 17501, 519, 21100, 540, 1614, 8820, 22263, 2981, 8552, 19589, 538, 606, 3617, 4287, 269, 634, 2164, 1397, 602, 519, 1614, 8820, 22263, 2981, 8552, 786, 8831, 2059, 519, 15497, 4287, 609, 519, 2810, 540, 519, 538, 3620, 558, 15119, 3376, 2287, 267, 543, 519, 4715, 5766, 1090, 24482, 3587, 513, 5858, 609, 519, 2810, 540, 519, 15497, 9756, 11664, 267, 543, 519, 17931, 849, 7930, 7140, 4130, 269, 4340, 547, 519, 10763, 3070, 267, 649, 2285, 513, 2347, 1079, 8820, 8552, 540, 519, 570, 815, 476, 271, 8818, 269, 634, 2164, 666, 581, 3514, 547, 519, 8097, 476, 274, 291, 17396, 8552, 585, 17062, 11375, 558, 23189, 563, 10521, 8820, 5951, 3830, 12193, 676, 20902, 20367, 13441, 1759, 2199, 19944, 6681, 8895, 518, 7219, 1505, 454, 1708, 271, 267, 476, 7597, 630, 273, 2567, 476, 22903, 1708, 269, 8222, 281, 476, 1015, 269, 278, 5392, 279, 270, 2355, 269, 7597, 269, 1001, 3445, 277, 1724, 454, 763, 5951, 18640, 568, 1419, 5645, 856, 538, 1950, 17027, 3889, 269, 14572, 519, 5951, 18640, 1966, 3927, 538, 11375, 558, 15119, 5420, 568, 540, 1390, 1719, 543, 814, 1082, 3156, 538, 6323, 543, 4702, 269, 769, 713, 1957, 267, 519, 2199, 19944, 6681, 717, 1446, 7219, 630, 17162, 294, 264, 1505, 568, 4294, 547, 519, 10230, 3070, 540, 519, 2034, 19195 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 320, 25507, 9272, 31156, 604, 513, 285, 272, 912, 825, 585, 1775, 538, 2039, 630, 273, 28083, 2187, 1038, 1820, 9217, 994, 1038, 952, 630, 320, 4939, 1775, 264, 2525, 271, 912, 27030, 2018, 1820, 2891, 321, 4157, 534, 5602, 2018, 2736, 454, 1038, 3116, 912, 2018, 1820, 2891, 31843, 5602, 2018, 2736, 454, 2745, 2891, 13117, 2525, 284, 5602, 2745, 2891, 7224, 275, 5602, 321, 25507, 9272, 2891, 5733, 4157, 16988, 2587, 6390, 8442, 9239, 1721, 1775, 538, 2039, 630, 321, 2187, 825, 952, 1775, 260, 273, 2525, 271, 912, 1038, 1820, 9217, 994, 13872, 0, 2993, 815, 9131, 339, 12887, 324, 12887, 342, 12887, 327, 12887, 328, 12887, 321, 23300, 343, 815, 7003, 263, 2993, 994, 1721, 1775, 538, 2039, 630, 271, 21726, 2187, 825, 15073, 6910, 17347, 5157, 20285, 2745, 2891, 8266, 568, 2433, 14307, 2993, 9239, 1721, 1775, 538, 2039, 263, 271, 21726, 2187, 825, 585, 795, 538, 2039, 263, 271, 21726, 2187, 1038, 952, 15073, 5157, 316, 283, 2993, 14728, 14158, 2018, 10917, 815, 15073, 5157, 2639, 2018, 15073, 5157, 24557, 2993, 14728, 2639, 2018, 15073, 14728, 24557, 31184, 454, 329, 284, 3269, 692, 1721, 1775, 538, 2039, 263, 271, 21726, 2187, 825, 795, 815, 795, 266, 2993, 5157, 6540, 2745, 2891, 5475, 18570, 21642, 568, 2433, 14307, 329, 994, 0, 11907, 815, 11713, 329, 636, 331, 1695, 17342, 2639, 343, 25507, 9272, 3488, 332, 879, 10874, 23981, 737, 8932, 1412, 4917, 1721, 1775, 538, 2039, 630, 343, 2187, 825, 586, 25507, 9272, 3488, 5733, 4157, 16988, 606, 1375, 6390, 21583, 737, 6501, 3824, 1074, 534, 1412, 4917, 825, 1239, 6910, 12169, 994, 322, 926, 815, 703, 9272, 3488, 5733, 4157, 16988, 2587, 6390, 21583, 737, 6501, 524, 926, 1412, 4917, 1721, 1775, 538, 2039, 263, 271, 267, 6352, 16597, 15892, 825, 952, 524, 926, 2525, 11907, 5157, 14158, 1038, 1820, 9230, 322, 926, 1070, 262, 3385, 1019, 4994, 1183, 22207, 263, 328, 4917, 1038, 795, 636, 331, 1695, 6910, 6262, 926, 994, 825, 952, 524, 926, 256, 284, 11907, 5157, 14158, 1038, 1820, 3488, 339, 573, 752, 546, 14403, 4157, 534, 1019, 4994, 1183, 22207, 328, 994, 2745, 27203, 636, 331, 1695, 994, 2745, 3488, 329, 14508, 795, 636, 331, 1695, 2587, 6390, 3299, 322, 926, 10086, 21583, 521, 4821, 740, 320, 22207, 6352, 27203, 636, 331, 1695, 4297, 13872, 0, 288, 815, 3403, 9497, 5733, 4157, 16988, 562, 559, 2967, 589, 2433, 5602, 289, 815, 3403, 9497, 5733, 4157, 16988, 562, 559, 2967, 645, 2433, 5602, 290, 815, 703, 10490, 264, 2260, 842, 16360, 2020, 2745, 630, 290, 2020, 320, 815, 476, 274, 454, 321, 815, 476, 272, 454, 322, 815, 476, 273, 454, 323, 815, 476, 1321, 454, 324, 815, 476, 1015, 692, 293, 815, 263, 320, 16732, 321, 25239, 19422, 323, 3887, 260, 320, 11723, 2745, 630, 293, 994, 0, 5035, 918, 754, 4673, 534, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 6216, 2187, 1038, 1582, 14857, 333, 4821, 815, 2012, 454, 1038, 1582, 14857, 1067, 330, 815, 6216, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1305, 333, 4821, 4311, 2187, 1038, 1780, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1205, 333, 4821, 4311, 2187, 1038, 1780, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1305, 1067, 330, 4311, 2187, 1038, 1780, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1205, 1067, 330, 4311, 2187, 1038, 1780, 692, 825, 7711, 3553, 333, 4821, 15630, 614, 454, 825, 1219, 1305, 333, 4821, 4311, 267, 1871, 2187, 1038, 1582, 14857, 333, 4821, 815, 1871, 692, 825, 7711, 1326, 333, 4821, 10947, 614, 454, 825, 1219, 1205, 333, 4821, 4311, 2187, 1038, 2132, 1582, 14857, 333, 4821, 692, 825, 7711, 3553, 1067, 330, 15630, 614, 454, 825, 1219, 1305, 1067, 330, 4311, 267, 1871, 2187, 1038, 1582, 14857, 1067, 330, 815, 1871, 692, 825, 7711, 1326, 1067, 330, 10947, 614, 454, 825, 1219, 1205, 1067, 330, 4311, 2187, 1038, 2132, 1582, 14857, 1067, 330, 692, 5035, 22427, 1188, 263, 298, 754, 4673, 534, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 6216, 2073, 512, 2086, 2426, 267, 7333, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 4067, 267, 25912, 994, 1038, 1582, 14857, 1485, 520, 2086, 2426, 815, 512, 2086, 2426, 454, 1038, 1582, 14857, 549, 6767, 815, 7333, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2070, 4311, 2187, 1038, 2132, 834, 301, 4821, 815, 15079, 1422, 333, 29146, 8585, 330, 815, 15079, 1422, 333, 29146, 4303, 320, 570, 2086, 2426, 815, 15079, 1422, 333, 29146, 808, 636, 331, 1695, 14339, 320, 815, 15079, 834, 269, 8971, 4311, 10947, 333, 4821, 267, 1345, 10947, 1067, 330, 267, 1345, 10947, 1485, 520, 2086, 2426, 267, 1345, 10947, 549, 6767, 2020, 825, 7711, 27393, 1399, 454, 825, 1219, 1305, 1485, 520, 2086, 2426, 4311, 2187, 1038, 1780, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1205, 1485, 520, 2086, 2426, 4311, 2187, 1038, 1780, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1305, 549, 6767, 4311, 2187, 1038, 1780, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1205, 549, 6767, 4311, 2187, 1038, 1780, 692, 825, 7711, 3553, 1485, 520, 2086, 2426, 15630, 614, 454, 825, 1219, 1305, 1485, 520, 2086, 2426, 4311, 267, 1871, 2187, 1038, 1582, 14857, 1485, 520, 2086, 2426, 815, 1871, 692, 825, 7711, 1326, 1485, 520, 2086, 2426, 10947, 614, 454, 825, 1219, 1205, 1485, 520, 2086, 2426, 4311, 2187, 1038, 2132, 1582, 14857, 1485, 520, 2086, 2426, 692, 825, 7711, 3553, 549, 6767, 15630, 614, 454, 825, 1219, 1305, 549, 6767, 4311, 267, 1871, 2187, 1038, 1582, 14857, 549, 6767, 815, 1871, 692, 825, 7711, 1326, 549, 6767, 10947, 614, 454, 825, 1219, 1205, 549, 6767, 4311, 2187, 1038, 2132, 1582, 14857, 549, 6767, 692, 339, 30638, 272, 284, 307, 30638, 2891, 295, 3626, 14824, 339, 1195, 7974, 2580, 4968, 271, 267, 277, 994, 2745, 6025, 30638, 272, 269, 1613, 994, 2745, 2891, 13117, 7529, 4499, 2525, 5602, 339, 30638, 272, 15630, 333, 4821, 815, 3403, 2891, 300, 553, 4157, 16988, 562, 4821, 2150, 4157, 1019, 704, 8663, 14241, 815, 19515, 339, 30638, 272, 15630, 1067, 330, 815, 3403, 2891, 300, 553, 4157, 16988, 5789, 330, 2150, 4157, 1019, 704, 8663, 14241, 815, 19515, 339, 30638, 272, 15630, 1485, 520, 2086, 2426, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 1554, 320, 512, 2086, 2426, 2150, 4157, 1019, 704, 8663, 14241, 815, 27328, 339, 30638, 272, 15630, 549, 6767, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 808, 636, 331, 1695, 887, 6767, 2150, 4157, 1019, 704, 8663, 14241, 815, 27328, 2745, 6025, 30638, 272, 269, 1613, 994, 0, 2745, 9497, 31435, 5602, 2745, 9497, 8364, 524, 2131, 538, 328, 21536, 22462, 2215, 320, 693, 879, 1207, 16988, 15419, 311, 815, 703, 9272, 2891, 5733, 4157, 16988, 21536, 22462, 2473, 7790, 27363, 328, 815, 476, 273, 692, 604, 2473, 285, 272, 912, 825, 952, 630, 311, 260, 328, 264, 2525, 271, 912, 1038, 1820, 630, 311, 2437, 321, 4157, 534, 21536, 22462, 2215, 320, 5602, 13872, 825, 3116, 912, 1038, 1820, 11583, 2437, 611, 531, 1695, 21536, 22462, 2215, 320, 15419, 8931, 13872, 0, 5035, 1488, 16388, 1384, 825, 795, 523, 529, 815, 834, 303, 298, 298, 27029, 825, 795, 636, 331, 1695, 815, 476, 271, 692, 258, 586, 815, 669, 842, 320, 454, 258, 1535, 815, 586, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 267, 2232, 2187, 1038, 1582, 8542, 4821, 815, 2012, 454, 1038, 1582, 269, 636, 584, 815, 2085, 454, 1038, 1582, 269, 15401, 520, 815, 2232, 454, 1038, 1488, 16388, 12459, 636, 331, 1695, 23785, 272, 692, 825, 1219, 9623, 4311, 2187, 1038, 2132, 834, 301, 4821, 815, 15079, 1422, 333, 29146, 772, 332, 584, 815, 2715, 4153, 333, 29146, 1325, 600, 520, 815, 15079, 2668, 8971, 4311, 8542, 4821, 267, 1345, 269, 636, 584, 267, 1345, 269, 15401, 520, 2020, 528, 836, 272, 815, 1488, 16388, 2891, 2419, 842, 320, 2580, 476, 866, 267, 834, 297, 1897, 5602, 528, 836, 273, 815, 1488, 16388, 2891, 344, 641, 6853, 2580, 476, 866, 267, 834, 330, 539, 21105, 15419, 2745, 263, 528, 836, 272, 14857, 18743, 1029, 994, 2745, 2891, 13117, 7529, 2525, 284, 5602, 2745, 2891, 301, 4821, 2781, 933, 621, 340, 2433, 14307, 610, 836, 272, 8542, 4821, 994, 258, 1820, 263, 528, 836, 272, 269, 15401, 520, 994, 258, 1820, 2891, 13117, 7529, 2525, 284, 5602, 258, 1820, 10490, 5142, 534, 12459, 636, 331, 1695, 994, 2745, 2891, 13117, 7529, 2525, 284, 5602, 2745, 263, 528, 836, 272, 29335, 28829, 0, 454, 258, 12693, 1924, 531, 715, 9593, 476, 272, 454, 258, 1362, 11135, 912, 16482, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 6146, 267, 4666, 267, 4217, 2187, 258, 1363, 1582, 12500, 684, 7795, 815, 6146, 454, 258, 1363, 1582, 269, 3901, 328, 815, 4666, 454, 258, 1363, 1582, 12500, 656, 10224, 815, 4217, 454, 16482, 16482, 16482, 258, 672, 1219, 524, 2131, 4311, 2187, 258, 1363, 737, 6767, 815, 1582, 12500, 684, 7795, 23444, 1345, 12500, 656, 10224, 9984, 263, 1345, 269, 3901, 328, 2608, 476, 271, 269, 4037, 994, 258, 1363, 952, 17347, 6767, 3436, 476, 1015, 2187, 258, 17264, 7584, 815, 834, 294, 5357, 291, 4840, 258, 1363, 8640, 17347, 6767, 10922, 476, 1015, 543, 737, 6767, 13843, 476, 277, 2187, 258, 17264, 7584, 815, 834, 306, 6579, 23615, 4840, 258, 1363, 3116, 912, 258, 17264, 7584, 815, 834, 16576, 2177, 30438, 4840, 16482, 258, 1363, 2132, 7584, 454, 16482, 258, 737, 272, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 6146, 6345, 14866, 4821, 815, 27328, 258, 667, 272, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 16458, 6345, 14866, 4821, 815, 27328, 258, 589, 272, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 1306, 626, 6345, 14866, 4821, 815, 27328, 258, 5869, 272, 815, 11135, 17347, 272, 267, 291, 272, 267, 288, 272, 994, 258, 737, 273, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 6146, 6345, 918, 539, 7699, 815, 27328, 258, 667, 273, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 16458, 6345, 918, 539, 7699, 815, 27328, 258, 589, 273, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 1306, 626, 6345, 918, 539, 7699, 815, 27328, 258, 5869, 273, 815, 11135, 17347, 273, 267, 291, 273, 267, 288, 273, 994, 258, 737, 274, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 6146, 6345, 31509, 27004, 815, 27328, 258, 667, 274, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 16458, 6345, 31509, 27004, 815, 27328, 258, 589, 274, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 1306, 626, 6345, 31509, 27004, 815, 27328, 258, 5869, 274, 815, 11135, 17347, 274, 267, 291, 274, 267, 288, 274, 994, 16482, 258, 1820, 263, 12516, 272, 269, 576, 330, 15405, 258, 1820, 263, 12516, 273, 269, 576, 330, 15405, 258, 1820, 263, 12516, 274, 269, 576, 330, 3890, 9239, 258, 12693, 1924, 531, 715, 9593, 476, 273, 454, 258, 1104, 30220, 454, 16482, 258, 1362, 3131, 16476, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 7329, 267, 2140, 267, 4266, 2187, 258, 1363, 1582, 269, 573, 815, 7329, 454, 258, 1363, 1582, 269, 9080, 592, 815, 2140, 454, 258, 1363, 1582, 6745, 836, 6549, 815, 4266, 454, 16482, 258, 672, 1219, 524, 2131, 4311, 2187, 258, 1363, 512, 1695, 684, 267, 4439, 534, 267, 554, 926, 815, 4786, 17301, 267, 1582, 6745, 836, 6549, 21858, 2891, 268, 27363, 258, 1363, 8126, 6549, 11017, 329, 600, 815, 30220, 6155, 622, 6025, 1695, 684, 267, 4439, 534, 267, 554, 926, 994, 258, 1363, 2221, 815, 30220, 6155, 622, 6745, 3736, 4590, 258, 1363, 13276, 529, 8811, 815, 8126, 6549, 11017, 329, 600, 910, 2221, 454, 258, 1363, 1820, 3488, 1088, 529, 8811, 554, 926, 281, 1412, 1341, 1193, 263, 1088, 529, 8811, 6155, 904, 4917, 258, 1363, 952, 630, 1088, 529, 8811, 6155, 904, 2999, 910, 274, 2187, 258, 17264, 27765, 8898, 7699, 815, 476, 1220, 271, 2608, 630, 1088, 529, 8811, 6155, 904, 1341, 476, 274, 264, 2608, 910, 272, 454, 258, 1363, 3116, 912, 258, 17264, 27765, 8898, 7699, 815, 476, 271, 454, 16482, 258, 1363, 2132 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5450, 1359, 666, 849, 5351, 538, 12719, 950, 1216, 2126, 568, 2877, 267, 899, 950, 11159, 538, 519, 1062, 1058, 581, 6569, 563, 3725, 13094, 1216, 849, 2306, 2631, 547, 11281, 267, 2523, 538, 2950, 602, 5279, 585, 29326, 720, 1759, 593, 18513, 1216, 946, 282, 891, 949, 2154, 621, 1317, 6382, 789, 786, 711, 917, 875, 1454, 547, 5279, 563, 18404, 1359, 1184, 1216, 849, 2337, 609, 13451, 7020, 269, 1403, 1216, 568, 1031, 607, 851, 540, 513, 5663, 1184, 922, 1942, 1058, 581, 1249, 1819, 883, 519, 1942, 540, 519, 3803, 1587, 563, 8450, 654, 22977, 273, 281, 1473, 3233, 4826, 2422, 22159, 585, 1344, 593, 9023, 20610, 543, 18493, 894, 9023, 25256, 3937, 563, 7704, 322, 275, 281, 14175, 4248, 5004, 454, 310, 22977, 272, 270, 25446, 322, 272, 281, 30482, 4826, 2422, 22159, 454, 310, 22977, 273, 270, 25446, 322, 273, 281, 1473, 3233, 4826, 2422, 22159, 454, 25446, 322, 274, 281, 15346, 532, 18975, 4826, 2422, 454, 12788, 335, 273, 27582, 10907, 273, 281, 6052, 21252, 0, 26322, 3028, 568, 960, 2944, 676, 606, 1367, 610, 1895, 585, 519, 4324, 540, 1866, 269, 4107, 13039, 616, 3238, 538, 930, 1106, 540, 2146, 3028, 269, 12344, 621, 568, 19620, 513, 1753, 538, 991, 540, 18203, 610, 18006, 1453, 269, 6884, 621, 3322, 14957, 585, 1004, 4171, 9739, 616, 711, 1373, 4862, 269, 932, 11699, 7119, 538, 2146, 3028, 1317, 10271, 616, 1572, 547, 581, 22063, 540, 1346, 538, 991, 269, 2334, 568, 11613, 2953, 269, 1717, 267, 649, 616, 849, 1572, 547, 581, 22063, 540, 519, 20227, 540, 4906, 2441, 269, 769, 6754, 779, 4484, 547, 519, 5939, 538, 2051, 1601, 2801, 267, 646, 11339, 267, 968, 1607, 568, 519, 22258, 602, 596, 4862, 543, 602, 814, 1044, 29064, 547, 1169, 13442, 896, 13140, 267, 543, 540, 799, 594, 267, 6754, 267, 723, 1831, 513, 22700, 1848, 9861, 513, 22700, 540, 519, 22258, 568, 513, 12576, 602, 938, 3028, 4422, 3564, 8023, 519, 17237, 543, 12391, 585, 519, 4057, 269, 898, 1797, 5356, 873, 519, 4126, 649, 723, 538, 4906, 2441, 543, 4687, 519, 1434, 3377, 540, 2696, 779, 2648, 269, 0, 10666, 901, 3848, 454, 300, 9680, 288, 3047, 3163, 281, 3047, 781, 10281, 4592, 335, 1877, 910, 3848, 12834, 454, 1607, 3184, 4422, 883, 1469, 593, 519, 6946, 25029, 540, 3047, 781, 3289, 4592, 335, 1877, 267, 1818, 2386, 596, 2811, 4712, 585, 1644, 2055, 950, 596, 1491, 519, 631, 9680, 288, 3047, 3163, 981, 269, 1635, 519, 1439, 540, 713, 3184, 267, 596, 666, 2503, 547, 723, 914, 339, 1229, 707, 1620, 540, 912, 268, 3047, 781, 1216, 3892, 454, 268, 634, 1114, 11775, 540, 519, 1216, 4783, 454, 268, 1548, 1098, 17508, 568, 454, 268, 26085, 538, 1216, 2861, 8134, 454, 14818, 532, 707, 8223, 540, 891, 3584, 786, 581, 2653, 1210, 519, 2259, 17118, 693, 519, 1439, 540, 1142, 3992, 267, 799, 786, 849, 4196, 547, 24559, 596, 609, 519, 5686, 540, 2055, 596, 3513, 7237, 593, 519, 981, 269, 1403, 596, 9364, 899, 547, 946, 891, 17118, 585, 22356, 4974, 267, 789, 666, 581, 9102, 607, 3211, 563, 272, 269, 634, 17392, 540, 4826, 593, 3047, 454, 12850, 6227, 1034, 540, 3047, 855, 538, 513, 3099, 540, 3029, 269, 769, 713, 3381, 3992, 596, 786, 1451, 827, 875, 1216, 568, 7856, 593, 3047, 267, 1498, 596, 949, 581, 14281, 547, 1265, 856, 1175, 875, 2370, 540, 621, 649, 666, 1569, 2336, 273, 269, 634, 4826, 18888, 281, 2776, 27457, 2787, 267, 9473, 18730, 267, 543, 5345, 777, 2610, 454, 1607, 3992, 11828, 519, 3157, 1216, 3217, 607, 621, 7575, 1472, 519, 3047, 538, 519, 1216, 4783, 269, 1411, 3513, 1205, 606, 538, 3829, 1413, 693, 28198, 267, 13247, 267, 543, 21381, 563, 274, 269, 1215, 5345, 777, 2610, 1299, 3690, 17508, 19928, 1393, 547, 519, 10281, 6331, 545, 18888, 454, 18128, 777, 2610, 543, 1098, 17508, 616, 1271, 3334, 540, 519, 1216, 4783, 267, 543, 1247, 789, 616, 519, 1482, 1184, 789, 8451, 689, 1114, 2959, 269, 769, 713, 3381, 3992, 596, 786, 1451, 827, 891, 1079, 2694, 540, 519, 4783, 543, 875, 789, 3565, 547, 519, 2949, 3350, 540, 1216, 593, 3047, 563, 275, 269, 23270, 338, 540, 744, 10895, 543, 18610, 4248, 281, 18143, 16844, 543, 4826, 454, 1103, 713, 3992, 267, 596, 3513, 1451, 827, 519, 9265, 540, 8134, 1759, 593, 1216, 269, 1411, 786, 3605, 602, 7286, 267, 15195, 543, 513, 7848, 540, 6070, 543, 15195, 1711, 1360, 1114, 8134, 267, 799, 538, 2490, 3310, 519, 2179, 540, 9265, 602, 568, 1336, 538, 891, 9249, 563, 28606, 940, 5441, 15894, 454, 12441, 596, 917, 2507, 1284, 723, 936, 476, 1220, 2852, 6030, 602, 5965, 596, 547, 7118, 5491, 676, 981, 602, 568, 7608, 676, 936, 476, 272, 267, 4335, 12621, 543, 9945, 269, 1411, 666, 1449, 856, 540, 519, 1101, 1079, 1296, 540, 2852, 543, 4688, 5215, 1055, 707, 4110, 269, 25175, 666, 7118, 5491, 8386, 7721, 600, 7488, 540, 2085, 610, 2069, 1377, 563, 2414, 1451, 811, 267, 3643, 938, 2423, 940, 15894, 8525, 454, 9558, 2536, 2590, 5491, 547, 519, 1153, 540, 707, 3903, 454, 8253, 2386, 1018, 2852, 596, 1616, 547, 7390, 2943, 286, 5530, 2593, 814, 5215, 540, 4930, 827, 1169, 16697, 762, 4110, 267, 1858, 540, 1353, 543, 4876, 2619, 602, 666, 948, 596, 1265, 519, 1153, 602, 781, 1318, 585, 596, 563, 8448, 11271, 1369, 519, 631, 9680, 288, 3047, 3163, 281, 6657, 1299, 5530, 6651, 1576, 454, 268, 631, 9680, 288, 3047, 3163, 281, 3163, 1299, 7177, 13756, 454, 268, 631, 9680, 288, 3047, 3163, 281, 5274, 29568, 609, 3047, 7010, 454, 268, 631, 9680, 288, 3047, 3163, 281, 3047, 781, 1975, 12742, 1299, 18378, 12856, 454, 268, 631, 9680, 288, 3047, 3163, 281, 30200, 1299, 32520, 454, 268, 631, 9680, 288, 3047, 3163, 281, 17934, 570, 624, 9582, 454, 268, 631, 9680, 288, 3047, 3163, 281, 25732, 24959, 5384, 454, 268, 631, 9680, 288, 3047, 3163, 281, 6052, 8249, 454, 268, 631, 9680, 288, 3047, 3163, 281, 22948, 540, 3047, 781, 17183, 454, 268, 631, 9680, 288, 3047, 3163, 281, 7909, 7010, 454, 268, 631, 9680, 288, 3047, 3163, 281, 18610, 4248, 7010, 454, 268, 631, 9680, 288, 3047, 3163, 281, 3047, 781, 22014, 1877, 454, 268, 631, 9680, 288, 3047, 3163, 281, 16661, 1299, 23566, 338, 454, 268, 631, 9680, 288, 3047, 3163, 281, 8693, 454, 268, 631, 9680, 288, 3047, 3163, 281, 13562, 13929, 27014, 1299, 22948, 454, 268, 631, 9680, 288, 3047, 3163, 281, 9891, 3590, 454, 268, 631, 9680, 288, 3047, 3163, 281, 634, 6129, 9855, 3047, 3590, 454, 268, 631, 9680, 288, 3047, 3163, 281, 6611, 16709, 454, 268, 631, 9680, 288, 3047, 3163, 18044, 11568 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10070, 1104, 9949, 18743, 692, 5035, 32597, 24998, 2187, 453, 1029, 16435, 1824, 1029, 284, 9131, 18743, 318, 3299, 1412, 320, 23300, 22592, 6449, 8181, 9191, 1345, 267, 9598, 318, 267, 513, 2187, 453, 19677, 6155, 1112, 318, 284, 9598, 29390, 453, 19677, 18502, 815, 320, 454, 22592, 1820, 15953, 4311, 2187, 453, 13537, 1582, 6155, 1112, 29390, 453, 13537, 1582, 18502, 454, 18743, 318, 28121, 8679, 1721, 1535, 538, 2039, 263, 1015, 2187, 453, 18743, 318, 314, 343, 24557, 343, 1262, 273, 454, 28128, 272, 815, 32597, 5560, 1112, 318, 267, 275, 994, 28128, 272, 31428, 15953, 3890, 0, 5814, 10917, 12803, 454, 5814, 1357, 321, 4900, 518, 454, 5814, 15259, 454, 5814, 6449, 10852, 1029, 454, 5228, 536, 338, 275, 1104, 27202, 306, 19281, 692, 3698, 16814, 318, 2181, 1777, 1518, 263, 6255, 6447, 2187, 825, 2132, 630, 6826, 2246, 3814, 306, 19281, 19304, 263, 6255, 6447, 1070, 1412, 6255, 6447, 4877, 32242, 262, 1040, 2181, 1777, 1518, 3890, 9239, 3698, 11422, 318, 2181, 1613, 30415, 318, 20880, 267, 546, 597, 22561, 267, 840, 1777, 1518, 18989, 2187, 825, 5727, 6282, 525, 513, 10151, 16814, 3758, 609, 519, 5569, 318, 20880, 267, 543, 10741, 621, 538, 513, 11422, 454, 825, 634, 7097, 1287, 3649, 1080, 585, 3593, 3403, 543, 950, 9411, 18274, 909, 519, 10151, 3758, 692, 825, 1305, 546, 597, 25716, 547, 946, 1062, 9949, 4087, 585, 10151, 3758, 563, 1038, 546, 597, 22561, 12662, 3758, 538, 1699, 15682, 267, 547, 1450, 3448, 6402, 547, 960, 538, 4152, 692, 825, 840, 1777, 1518, 5036, 952, 519, 3977, 1058, 581, 7168, 16163, 539, 16814, 610, 1175, 2786, 3977, 269, 4347, 5435, 338, 547, 6936, 267, 799, 3096, 454, 825, 27202, 306, 19281, 269, 2181, 1777, 1518, 547, 2497, 16814, 538, 513, 8799, 1480, 28505, 3898, 454, 825, 29185, 825, 952, 840, 1777, 1518, 912, 1038, 6460, 815, 16814, 318, 2181, 1777, 1518, 454, 825, 3116, 912, 1038, 6460, 815, 1193, 454, 825, 609, 10917, 12803, 12991, 3139, 307, 3637, 17572, 4433, 4428, 1460, 284, 8339, 6255, 6447, 22779, 14030, 672, 18419, 18989, 2676, 14030, 672, 546, 597, 284, 657, 29624, 6155, 597, 4067, 263, 1029, 10852, 1029, 14857, 12803, 1029, 264, 952, 546, 597, 568, 7183, 454, 14030, 672, 3116, 630, 14085, 952, 546, 597, 568, 8771, 3116, 546, 597, 4297, 607, 3758, 912, 1038, 3758, 22182, 263, 935, 3200, 30415, 318, 20880, 1040, 523, 13892, 3488, 583, 325, 268, 279, 29125, 1038, 3758, 269, 4148, 2313, 4590, 1038, 1820, 16868, 262, 12803, 281, 11138, 262, 1341, 3758, 20508, 994, 1038, 1357, 321, 4900, 518, 269, 13449, 16868, 262, 12803, 2517, 270, 262, 1341, 3758, 20508, 18622, 2897, 3488, 11138, 3299, 26230, 4917, 1038, 3403, 2891, 18208, 9373, 547, 1439, 7097, 543, 2973, 909, 10151, 3758, 907, 23528, 0, 5228, 12449, 1104, 2608, 1477, 5035, 570, 850, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 547, 921, 1111, 267, 7762, 2431, 267, 2016, 8029, 1038, 1582, 269, 5550, 815, 25351, 4120, 6025, 963, 1111, 14720, 582, 2431, 3418, 1038, 1582, 269, 5550, 15630, 293, 650, 3488, 13582, 20298, 1038, 8700, 815, 2612, 6025, 963, 1111, 11859, 910, 7762, 2431, 11859, 3418, 1038, 4463, 815, 2612, 6025, 963, 1111, 13885, 910, 7762, 2431, 13885, 3418, 1038, 533, 660, 318, 6311, 305, 815, 8672, 6025, 963, 1111, 11859, 1341, 8700, 270, 273, 267, 547, 921, 1111, 13885, 266, 19417, 270, 273, 3418, 1038, 1582, 6983, 1844, 815, 17781, 9638, 660, 318, 6311, 305, 267, 12296, 270, 273, 3418, 1038, 1582, 269, 10233, 815, 2016, 476, 1948, 271, 815, 9039, 1477, 23351, 1948, 272, 815, 3043, 1477, 23351, 1948, 273, 815, 3109, 1477, 1038, 952, 1582, 269, 10233, 2652, 476, 272, 6769, 2018, 1582, 6983, 1844, 15630, 293, 650, 3488, 19009, 20298, 2018, 1582, 6983, 1844, 15630, 11073, 1467, 3488, 18872, 20298, 1038, 8640, 1582, 269, 10233, 2652, 476, 273, 6769, 2018, 1582, 6983, 1844, 15630, 293, 650, 3488, 18872, 20298, 2018, 1582, 6983, 1844, 15630, 11073, 1467, 3488, 19009, 262, 10142, 825, 1219, 2721, 307, 850, 4311, 267, 3094, 8029, 1038, 1582, 269, 5550, 269, 1495, 3863, 14052, 1038, 1582, 269, 5550, 6155, 3863, 263, 7773, 3418, 1038, 952, 4311, 269, 10233, 8029, 2018, 1582, 6983, 1844, 269, 1495, 3863, 14052, 2018, 1582, 6983, 1844, 6155, 3863, 263, 7773, 10142, 825, 1219, 16212, 307, 850, 4311, 267, 3094, 8029, 1038, 952, 1582, 269, 10233, 2652, 476, 271, 6769, 2018, 2132, 476, 271, 1477, 1038, 8640, 1582, 269, 10233, 2652, 476, 272, 6769, 2018, 1582, 269, 10233, 815, 476, 273, 1477, 2018, 1582, 6983, 1844, 15630, 293, 650, 3488, 18872, 20298, 2018, 1582, 6983, 1844, 15630, 11073, 1467, 3488, 19009, 20298, 1038, 8640, 1582, 269, 10233, 2652, 476, 273, 6769, 2018, 1582, 269, 10233, 815, 476, 272, 1477, 2018, 1582, 6983, 1844, 15630, 293, 650, 3488, 19009, 20298, 2018, 1582, 6983, 1844, 15630, 11073, 1467, 3488, 18872, 20298, 1038, 1582, 6155, 3863, 307, 850, 263, 7773, 3418, 5897, 825, 1219, 1305, 307, 850, 4311, 267, 2681, 267, 3094, 8029, 1038, 952, 1582, 269, 10233, 2652, 476, 271, 6769, 2018, 1582, 269, 10233, 815, 2681, 1477, 2018, 952, 2681, 2652, 476, 273, 6769, 3546, 1582, 6983, 1844, 15630, 293, 650, 3488, 18872, 20298, 3546, 1582, 6983, 1844, 15630, 11073, 1467, 3488, 19009, 20298, 2018, 8640, 2681, 2652, 476, 272, 6769, 3546, 1582, 6983, 1844, 15630, 293, 650, 3488, 19009, 20298, 3546, 1582, 6983, 1844, 15630, 11073, 1467, 3488, 18872, 20298, 2018, 1582, 6155, 3863, 307, 850, 263, 7773, 3418, 0, 26611, 23591, 24800, 19841, 341, 9226, 21506, 258, 256, 268, 265, 268, 322, 5317, 281, 583, 325, 268, 279, 28605, 1477, 258, 256, 287, 11742, 453, 453, 281, 476, 1001, 280, 270, 272, 270, 2420, 476, 16573, 273, 453, 866, 281, 2764, 1477, 258, 256, 287, 12041, 453, 281, 2473, 310, 318, 297, 807, 1477, 258, 256, 287, 17572, 453, 453, 281, 9598, 18258, 5897, 323, 272, 815, 2715, 1477, 825, 1412, 4067, 9166, 1412, 531, 6975, 3299, 1477, 825, 1412, 720, 9166, 476, 1240, 267, 1477, 348, 1477, 323, 272, 15630, 29239, 3488, 4067, 3299, 1412, 2704, 6975, 20298, 323, 272, 15630, 29239, 3488, 14054, 3299, 1412, 332, 1446, 20298, 2745, 5560, 272, 3418, 5897, 323, 272, 815, 2715, 1477, 825, 1412, 4067, 9166, 1412, 531, 6975, 3299, 1477, 825, 1412, 720, 9166, 476, 1240, 267, 1477, 348, 1477, 323, 272, 269, 26303, 20719, 262, 4067, 9166, 1412, 2704, 6975, 3299, 1412, 14054, 9166, 1412, 332, 1446, 262, 16585, 1948, 17276, 367, 357, 418, 482, 493, 25263, 510, 9463, 480, 25913, 19764, 493, 7511, 21251, 12571, 490, 1477, 2745, 5560, 272, 10142, 323, 272, 815, 2715, 1477, 825, 1412, 4067, 9166, 1412, 531, 6975, 3299, 1477, 825, 1412, 720, 9166, 476, 1240, 267, 1477, 825, 1412, 14054, 9166, 1412, 332, 1446, 12887, 274, 9166, 274, 267, 1477, 348, 5897, 320, 815, 546, 272, 269, 12399, 14052, 2745, 5416, 3418, 2745, 17338, 5416, 25011, 271, 29573, 320, 815, 546, 272, 269, 11161, 14052, 2745, 5416, 3418, 2745, 17338, 5416, 25011, 271, 29573, 320, 815, 546, 272, 29096, 14052, 2745, 5416, 3418, 2745, 17338, 5416, 25011, 271, 316, 10142, 916, 326, 5091, 545, 28121, 1477, 262, 20625, 9166, 1015, 267, 1477, 1405, 525, 5055, 9166, 1911, 1822, 267, 1477, 6415, 659, 9166, 4968, 271, 267, 1477, 262, 6352, 26785, 9166, 4968, 876, 267, 1477, 262, 577, 1157, 523, 9166, 1015, 267, 1477, 348, 1477, 16591, 338, 9078, 17342, 15947, 6112, 6936, 6769, 825, 585, 1883, 267, 14403, 538, 20444, 326, 5091, 545, 29096, 28399, 1038, 1820, 3488, 4067, 281, 346, 4067, 348, 3902, 281, 346, 23748, 348, 8339, 8971, 263, 23748, 284, 14403, 267, 4067, 284, 4486, 17903, 825, 3903, 284, 6358, 3488, 417, 499, 484, 417, 497, 479, 9563, 281, 1412, 1040, 29328, 14052, 825, 952, 711, 3903, 610, 3903, 711, 538, 20444, 326, 5091, 545, 281, 11666, 826, 1477, 825, 1293, 284, 6358, 3488, 420, 368, 511, 18263, 364, 14748, 12255, 9563, 281, 1412, 1040, 29328, 14052, 825, 952, 711, 1293, 18994, 323, 13424, 263, 2567, 11666, 826, 1477, 825, 5370, 9078, 6910, 9230, 577, 4069, 267, 916, 326, 5091, 545, 314, 577, 4069, 3910, 12248, 264, 10142, 825, 1820, 14116, 797, 338, 9078, 3418, 5897, 258, 20069, 417, 28187, 31284, 29219, 421, 505, 484, 12571, 486, 1496, 1556, 267, 2420, 267, 3451, 267, 4510, 267, 4649, 267, 5780, 267, 6507, 267, 6434, 267, 4200, 267, 3445, 1862, 316, 8147, 16533, 484, 19867, 478, 20069, 27962, 30678, 476, 5780, 476, 7511, 29219, 32517, 507, 11858, 502, 420, 485, 367, 21211, 10429, 372, 7511, 21588, 361, 22047, 4486, 18809, 8147, 16533, 484, 16533, 493, 30678, 476, 5780, 476, 7511, 29219, 32517, 507, 11858, 502, 420, 485, 367, 21588, 361, 11590, 490, 14748, 4486, 7511, 29219, 18809, 1477, 258, 22287, 367, 16088, 27835, 330, 272, 9166, 13127, 353, 356, 30678, 5780, 7511, 19867, 478, 20069, 29219, 267, 1412, 330, 273, 9166, 13127, 364, 493, 30678, 5780, 7511, 19867, 478, 20069, 29219, 348, 1477, 320, 28121, 262, 330, 272, 9166, 314, 3910, 262, 330, 273, 9166, 26514, 348, 1477, 322, 17342, 1556, 267, 2420, 267, 3451, 267, 4510, 267, 4649, 267, 5780, 267, 6507, 267, 6434, 267, 4200, 267, 3445, 15947, 1721, 1775, 538, 524, 6769, 825, 952, 1775, 285, 5780, 6769, 1038, 513, 9131, 330, 272, 262, 4940, 6572, 9217, 3418, 825, 3116, 6769, 1038, 513, 9131, 330, 273, 262, 4940, 6572, 9217, 3418, 2745, 5416, 3418, 5897, 0, 5814, 2979, 454, 5814, 4604, 692, 5035, 26761, 912, 8931, 825, 1219, 6449, 8181, 9191, 1345, 267, 4062, 281, 1598, 267, 4604, 281, 15953, 264, 9847, 1843, 912, 1038, 1582, 4877, 19991, 815, 4062, 454, 1038, 1582, 269, 4580, 815, 4604, 692, 825, 1948, 16521, 519, 1655, 1847, 609, 519, 3642, 454, 825, 1219, 1655, 8548, 913, 4311, 264, 9847, 703, 912, 1038, 1655, 30360, 815, 910, 4118, 269, 8882, 454, 1038, 1655, 31161, 815, 7183, 454, 1038, 585, 4994, 538, 1582, 269, 4580, 269, 4580, 912, 2018, 952, 1582, 269, 4580, 269, 20777, 8548, 913, 263, 8161, 2187, 3546, 10917, 815, 1582, 269, 4580, 269, 4580, 27709, 2639, 3546, 1582, 269, 4580, 269, 4580, 27709, 316, 815, 1582, 4877, 19991, 454, 3546, 6060, 815, 1582, 269, 2381, 328, 26174, 4311, 269, 4580, 267, 271, 267, 16178, 994, 3546, 1582, 269, 4580, 269, 4580, 27709, 316, 815, 10917, 454, 3546, 952, 6060, 3436, 1655, 30360, 912, 7386, 1655, 30360, 815, 6060, 454, 7386, 1655, 31161, 815, 4994, 454, 1038, 2132, 1655, 31161, 22562, 825, 1948, 300, 7236, 3193, 25276, 1599, 547, 1265, 519, 1655, 6364, 3097, 825, 1219, 9910, 26174, 4311, 267, 4580, 28504, 3704, 281, 842, 267, 568, 16655, 281, 321, 944, 264, 9847, 703, 912, 1038, 1948, 338, 13990, 585, 519, 6364, 540, 1169, 2619, 585, 519, 3642, 454, 1038, 8464, 815, 13634, 2018, 834, 302, 9899, 476, 272, 952, 1582, 4877, 19991, 2652, 834, 302, 257, 3116, 910, 272, 2676, 2018, 834, 311, 9899, 910, 272, 952, 1582, 4877, 19991, 2652, 834, 302, 257, 3116, 476, 272, 2676, 2018, 834, 2316, 292, 9899, 271, 454, 1038, 7684, 454, 1038, 1267, 815, 4604, 269, 13765, 318, 7773, 1676, 4590, 1038, 952, 1267, 11203, 7183, 912, 2018, 2132, 8464, 314, 14310, 2639, 13872, 1038, 1655, 30360, 815, 910, 4118, 269, 8882, 952, 568, 16655, 3116, 2979, 269, 8882, 454, 1038, 1480, 815, 834, 311, 257, 952, 1582, 4877, 19991, 2652, 834, 302, 257, 3116, 834, 302, 4840, 1038, 1948, 12712, 330, 540, 519, 9910, 3193, 1599, 267, 4422, 998, 1169, 1847, 547, 1265, 454, 1038, 1948, 1492, 10888, 6364, 3097, 1038, 585, 4994, 538, 4604, 269, 4580, 912, 2018, 952, 4604, 269, 20777, 8548, 913, 263, 8161, 2187, 3546, 10917, 815, 4604, 269, 4580, 27709, 2639, 3546, 4604, 269, 4580, 27709, 316, 815, 1582, 4877, 19991, 952, 568, 16655, 3116, 1480, 454, 3546, 6060, 815, 1582, 269, 2381, 328, 26174, 29033, 267, 3178, 1341, 476, 272, 267, 568, 16655, 815, 8771, 952, 568, 16655, 3116, 6936, 994, 3546, 4604, 269, 4580, 27709, 316, 815, 10917, 454, 3546, 1655, 30360, 815, 3193, 263, 16557, 267, 12895, 30360, 264, 952, 568, 16655, 3116, 1295, 263, 16557, 267, 12895, 30360, 994, 1038, 2132, 1655, 30360, 19638, 19638, 0, 1012, 700, 3041, 4811, 454, 258, 1930, 1299, 7475, 538, 32582, 23049, 454, 4289, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 2745, 17338, 994, 12534, 815, 18358, 322, 1846, 3299, 1412 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3488, 6858, 266, 3192, 815, 476, 25784, 5073, 825, 952, 1003, 272, 2652, 476, 6858, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2735, 912, 1038, 1820, 3488, 6858, 266, 2735, 815, 476, 25228, 5073, 825, 952, 1003, 272, 2652, 476, 6858, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 1960, 912, 1038, 1820, 3488, 6858, 266, 1960, 815, 476, 29214, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5611, 912, 1038, 1820, 3488, 6924, 266, 5611, 815, 476, 25908, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14681, 912, 1038, 1820, 3488, 6924, 266, 14681, 815, 476, 25546, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 13923, 912, 1038, 1820, 3488, 6924, 266, 13923, 815, 476, 13136, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14631, 912, 1038, 1820, 3488, 6924, 266, 14631, 815, 476, 21854, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15150, 912, 1038, 1820, 3488, 6924, 266, 15150, 815, 476, 19442, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14028, 912, 1038, 1820, 3488, 6924, 266, 14028, 815, 476, 23417, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14444, 912, 1038, 1820, 3488, 6924, 266, 14444, 815, 476, 23470, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14991, 912, 1038, 1820, 3488, 6924, 266, 14991, 815, 476, 18597, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15647, 912, 1038, 1820, 3488, 6924, 266, 15647, 815, 476, 26297, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14689, 912, 1038, 1820, 3488, 6924, 266, 14689, 815, 476, 25375, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 8182, 912, 1038, 1820, 3488, 6924, 266, 8182, 815, 476, 25248, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14065, 912, 1038, 1820, 3488, 6924, 266, 14065, 815, 476, 26631, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14341, 912, 1038, 1820, 3488, 6924, 266, 14341, 815, 476, 15996, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14321, 912, 1038, 1820, 3488, 6924, 266, 14321, 815, 476, 23211, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 13932, 912, 1038, 1820, 3488, 6924, 266, 13932, 815, 476, 22446, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 13679, 912, 1038, 1820, 3488, 6924, 266, 13679, 815, 476, 22001, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14917, 912, 1038, 1820, 3488, 6924, 266, 14917, 815, 476, 23056, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15757, 912, 1038, 1820, 3488, 6924, 266, 15757, 815, 476, 20720, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 12739, 912, 1038, 1820, 3488, 6924, 266, 12739, 815, 476, 26951, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15433, 912, 1038, 1820, 3488, 6924, 266, 15433, 815, 476, 26801, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10204, 912, 1038, 1820, 3488, 6924, 266, 10204, 815, 476, 24487, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14378, 912, 1038, 1820, 3488, 6924, 266, 14378, 815, 476, 26839, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15094, 912, 1038, 1820, 3488, 6924, 266, 15094, 815, 476, 13301, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15876, 912, 1038, 1820, 3488, 6924, 266, 15876, 815, 476, 25240, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14690, 912, 1038, 1820, 3488, 6924, 266, 14690, 815, 476, 26237, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 11260, 912, 1038, 1820, 3488, 6924, 266, 11260, 815, 476, 25838, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 12293, 912, 1038, 1820, 3488, 6924, 266, 12293, 815, 476, 28192, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10082, 912, 1038, 1820, 3488, 6924, 266, 10082, 815, 476, 25090, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 9965, 912, 1038, 1820, 3488, 6924, 266, 9965, 815, 476, 26727, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 9692, 912, 1038, 1820, 3488, 6924, 266, 9692, 815, 476, 26316, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5197, 912, 1038, 1820, 3488, 6924, 266, 5197, 815, 476, 27886, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 8687, 912, 1038, 1820, 3488, 6924, 266, 8687, 815, 476, 27149, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 9264, 912, 1038, 1820, 3488, 6924, 266, 9264, 815, 476, 7742, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 8146, 912, 1038, 1820, 3488, 6924, 266, 8146, 815, 476, 25172, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 7277, 912, 1038, 1820, 3488, 6924, 266, 7277, 815, 476, 21857, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6977, 912, 1038, 1820, 3488, 6924, 266, 6977, 815, 476, 26562, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5908, 912, 1038, 1820, 3488, 6924, 266, 5908, 815, 476, 22724, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6942, 912, 1038, 1820, 3488, 6924, 266, 6942, 815, 476, 14838, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6642, 912, 1038, 1820, 3488, 6924, 266, 6642, 815, 476, 16348, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6245, 912, 1038, 1820, 3488, 6924, 266, 6245, 815, 476, 27038, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5002, 912, 1038, 1820, 3488, 6924, 266, 5002, 815, 476, 28670, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 4489, 912, 1038, 1820, 3488, 6924, 266, 4489, 815, 476, 28796, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 4572, 912, 1038, 1820, 3488, 6924, 266, 4572, 815, 476, 18605, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 4350, 912, 1038, 1820, 3488, 6924, 266, 4350, 815, 476, 28360, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 3707, 912, 1038, 1820, 3488, 6924, 266, 3707, 815, 476, 26783, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 4198, 912, 1038, 1820, 3488, 6924, 266, 4198, 815, 476, 28091, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 3422, 912, 1038, 1820, 3488, 6924, 266, 3422, 815, 476, 25784, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 3192, 912, 1038, 1820, 3488, 6924, 266, 3192, 815, 476, 25228, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2735, 912, 1038, 1820, 3488, 6924, 266, 2735, 815, 476, 29214, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 1960, 912, 1038, 1820, 3488, 6924, 266, 1960, 815, 476, 29045, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5611, 912, 1038, 1820, 3488, 7597, 266, 5611, 815, 476, 25546, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14681, 912, 1038, 1820, 3488, 7597, 266, 14681, 815, 476, 13136, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 13923, 912, 1038, 1820, 3488, 7597, 266, 13923, 815, 476, 21854, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14631, 912, 1038, 1820, 3488, 7597, 266, 14631, 815, 476, 19442, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15150, 912, 1038, 1820, 3488, 7597, 266, 15150, 815, 476, 23417, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14028, 912, 1038, 1820, 3488, 7597, 266, 14028, 815, 476, 23470, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14444, 912, 1038, 1820, 3488, 7597, 266, 14444, 815, 476, 18597, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14991, 912, 1038, 1820, 3488, 7597, 266, 14991, 815, 476, 26297, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15647, 912, 1038, 1820, 3488, 7597, 266, 15647, 815, 476, 25375, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14689, 912, 1038, 1820, 3488, 7597, 266, 14689, 815, 476, 25248, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 8182, 912, 1038, 1820, 3488, 7597, 266, 8182, 815, 476, 26631, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14065, 912, 1038, 1820, 3488, 7597, 266, 14065, 815, 476, 15996, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14341, 912, 1038, 1820, 3488, 7597, 266, 14341, 815, 476, 23211, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14321, 912, 1038, 1820, 3488, 7597, 266, 14321, 815, 476, 22446, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 13932, 912, 1038, 1820, 3488, 7597, 266, 13932, 815, 476, 22001, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 13679, 912, 1038, 1820, 3488, 7597, 266, 13679, 815, 476, 23056, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14917, 912, 1038, 1820, 3488, 7597, 266, 14917, 815, 476, 20720, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15757, 912, 1038, 1820, 3488, 7597, 266, 15757, 815, 476, 26951, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 12739, 912, 1038, 1820, 3488, 7597, 266, 12739, 815, 476, 26801, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15433, 912, 1038, 1820, 3488, 7597, 266, 15433, 815, 476, 24487, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10204, 912, 1038, 1820, 3488, 7597, 266, 10204 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29905, 269, 1809, 585, 1346, 540, 596, 945, 899, 2713, 896, 7725, 267, 1934, 781, 513, 2596, 678, 1495, 1144, 540, 875, 621, 1568, 630, 16694, 602, 519, 1505, 949, 3100, 5996, 565, 3176, 267, 855, 621, 781, 3730, 585, 2663, 17107, 16920, 871, 693, 31914, 1144, 267, 950, 519, 10546, 3884, 1405, 3168, 780, 10190, 4894, 782, 5624, 543, 18685, 630, 10472, 568, 711, 14553, 2556, 267, 855, 649, 3513, 798, 621, 1022, 1811, 2020, 2969, 307, 19272, 2969, 306, 26685, 32052, 20062, 7728, 4047, 2894, 4932, 312, 3041, 18199, 26183, 19170, 692, 5719, 1260, 2821, 519, 1257, 883, 2338, 267, 589, 284, 271, 267, 645, 284, 272, 267, 3267, 313, 284, 1839, 1384, 271, 476, 866, 476, 866, 476, 271, 476, 273, 476, 1015, 476, 271, 476, 866, 476, 1240, 476, 736, 476, 1724, 476, 274, 476, 1691, 476, 2420, 476, 1724, 476, 2420, 476, 278, 476, 275, 476, 1724, 476, 866, 476, 278, 476, 275, 476, 275, 476, 1724, 476, 275, 476, 1321, 476, 2190, 476, 279, 476, 1240, 476, 1724, 476, 866, 476, 1556, 476, 1691, 476, 1691, 476, 1015, 476, 279, 476, 1724, 476, 277, 692, 16521, 513, 25948, 1883, 1063, 476, 272, 543, 476, 1839, 282, 649, 3513, 3442, 476, 278, 269, 3973, 1039, 519, 1883, 547, 1142, 1297, 543, 1491, 519, 1267, 1110, 25222, 476, 2918, 267, 602, 568, 267, 952, 519, 1297, 20489, 476, 2918, 267, 10208, 476, 2918, 2394, 621, 781, 4130, 982, 476, 2918, 630, 324, 3052, 269, 1403, 596, 723, 476, 1789, 267, 1287, 476, 1789, 1110, 25222, 476, 2918, 568, 476, 1789, 268, 2918, 568, 476, 275, 6393, 278, 476, 271, 476, 271, 476, 278, 476, 280, 476, 1704, 476, 278, 476, 271, 476, 1839, 476, 272, 476, 736, 476, 1015, 476, 2641, 476, 274, 476, 736, 476, 274, 476, 1691, 476, 1556, 476, 736, 476, 271, 476, 1691, 476, 1556, 476, 1556, 476, 736, 476, 1556, 476, 866, 476, 276, 476, 1428, 476, 1839, 476, 736, 476, 271, 476, 1240, 476, 2641, 476, 2641, 476, 1704, 476, 1428, 476, 736, 476, 1724, 692, 10190, 6460, 1394, 547, 5022, 1384, 295, 8150, 295, 297, 305, 11190, 313, 289, 20084, 13748, 11070, 5357, 308, 288, 5357, 299, 17109, 17025, 313, 308, 3008, 309, 309, 14641, 7419, 692, 2414, 1232, 7973, 267, 596, 798, 519, 1482, 267, 4849, 596, 10208, 519, 25948, 1883, 269, 2334, 1767, 267, 713, 29905, 568, 1360, 2653, 547, 2736, 269, 1677, 6961, 621, 267, 1934, 781, 513, 4161, 1384, 20806, 3188, 265, 476, 271, 281, 5463, 1712, 519, 1739, 1384, 306, 12702, 296, 304, 295, 300, 304, 22432, 297, 10258, 308, 295, 8582, 7417, 4811, 9816, 293, 297, 11246, 295, 304, 293, 311, 308, 295, 692, 265, 8074, 602, 713, 568, 513, 14407, 21568, 540, 519, 2262, 1412, 577, 718, 3188, 262, 780, 1012, 3487, 476, 272, 281, 6206, 539, 19332, 692, 3086, 649, 4312, 3893, 602, 856, 540, 519, 1259, 267, 1577, 781, 1205, 593, 547, 1945, 811, 4277, 269, 634, 1966, 609, 513, 19332, 568, 602, 621, 781, 1932, 2653, 547, 14697, 1030, 13396, 269, 4495, 596, 917, 621, 781, 513, 19332, 29905, 267, 596, 666, 3362, 2638, 782, 519, 7399, 269, 1924, 1577, 781, 4368, 602, 267, 676, 10962, 513, 3476, 1883, 269, 769, 851, 476, 271, 267, 649, 1185, 513, 2582, 25948, 1883, 602, 729, 4294, 547, 1169, 4484, 269, 1548, 649, 2811, 2469, 547, 798, 568, 723, 513, 1895, 540, 10569, 543, 4019, 873, 538, 2490, 269, 1280, 1383, 267, 952, 649, 1185, 519, 10569, 476, 275, 267, 476, 866, 543, 476, 279, 267, 649, 1131, 6521, 519, 1101, 4484, 476, 275, 4025, 267, 519, 2034, 476, 866, 267, 519, 3791, 476, 279, 267, 519, 8772, 476, 275, 267, 543, 865, 593, 269, 769, 713, 1259, 267, 835, 666, 711, 3274, 2638, 782, 519, 7399, 1262, 267, 543, 513, 811, 17715, 1935, 568, 2877, 547, 11523, 519, 29905, 780, 1262, 4270, 267, 596, 1223, 2638, 782, 519, 7399, 267, 855, 602, 1131, 581, 2731, 19309, 780, 2080, 616, 1614, 30582, 540, 713, 29905, 538, 1114, 4654, 269, 1403, 596, 666, 1405, 1982, 267, 610, 1810, 1405, 1982, 538, 1022, 540, 891, 4654, 267, 1810, 1405, 5855, 281, 634, 30582, 616, 8185, 29499, 267, 865, 1175, 1224, 519, 8292, 780, 4913, 267, 713, 568, 1869, 513, 4617, 29905, 267, 543, 596, 666, 6961, 621, 676, 29852, 519, 1739, 1384, 20806, 3188, 476, 272, 269, 272, 281, 20099, 476, 273, 6206, 692, 20806, 3188, 476, 272, 269, 273, 281, 20099, 476, 277, 6206, 692, 20806, 3188, 476, 272, 269, 274, 281, 32148, 20099, 6206, 630, 27045, 476, 278, 2020, 1012, 3487, 476, 273, 281, 10434, 2989, 6206, 539, 19332, 692, 763, 6206, 539, 19332, 729, 513, 1900, 538, 519, 1318, 4287, 267, 855, 621, 781, 1869, 21230, 2653, 547, 11523, 267, 1317, 540, 1978, 12755, 630, 7224, 267, 594, 4465, 1405, 7866, 519, 2626, 547, 851, 476, 272, 538, 851, 476, 273, 32656, 1924, 649, 2811, 2469, 547, 2182, 523, 621, 930, 811, 269, 634, 10434, 2989, 6206, 539, 19332, 786, 4183, 513, 2518, 27261, 269, 901, 1797, 602, 519, 32671, 4484, 540, 519, 10750, 3667, 786, 1205, 17146, 737, 265, 333, 4025, 267, 1141, 737, 568, 519, 2518, 27261, 269, 1924, 952, 707, 2518, 27261, 729, 476, 273, 267, 519, 1101, 4484, 1131, 1205, 17146, 476, 273, 5116, 593, 1283, 540, 875, 621, 781, 17146, 676, 519, 1883, 267, 519, 2034, 4484, 476, 275, 267, 543, 865, 593, 269, 901, 2306, 519, 29905, 1454, 811, 14388, 547, 1978, 6285, 780, 2080, 781, 519, 30582, 1384, 257, 295, 836, 593, 2580, 596, 2161, 267, 834, 514, 513, 1483, 3510, 713, 1131, 581, 593, 1804, 25098, 540, 1257, 267, 543, 594, 9364, 917, 513, 3787, 827, 519, 2796, 269, 634, 26032, 540, 519, 2591, 1039, 5841, 7411, 256, 2668, 1656, 596, 9364, 581, 1318, 282, 602, 781, 1946, 267, 585, 519, 1985, 2591, 267, 594, 3513, 1683, 513, 13594, 16535, 540, 513, 700, 2752, 12283, 32004, 540, 1257, 24290, 676, 713, 29905, 269, 594, 3513, 1256, 2995, 596, 1018, 621, 781, 827, 2439, 20806, 3188, 476, 273, 269, 272, 281, 20099, 476, 273, 6206, 9578, 9214, 618, 692, 288, 4108, 3391, 1504, 780, 20806, 3188, 476, 273, 269, 273, 281, 32148, 20099, 6206, 630, 27045, 476, 278, 264, 9578, 9214, 618, 692, 288, 4583, 3209, 780, 1432, 811, 666, 594, 2161, 286, 8414, 25305, 2439, 1892, 11146, 519, 678, 1218, 256, 1341, 272, 1107, 1109, 305, 663, 620, 31415, 1817, 5463, 476, 2767, 1412, 1691, 693, 476, 1626, 281, 4649, 454, 1892, 2659, 834, 4486, 539, 32614, 257, 568, 849, 1634, 607, 966, 3394, 27056, 2275, 8327, 269, 1107, 1109, 25508, 385, 511, 5979, 661, 828, 10458, 5463, 476, 2767, 1412, 1691, 693, 476, 866, 281, 2767, 454, 1892, 634, 1249, 602, 519, 5354, 540, 519, 2626, 547, 713, 2243, 568, 2965, 1175, 513, 678, 656, 1996, 29571, 3683, 6503, 3352, 802, 803, 2864, 9244, 269, 1772, 972, 513, 2601, 713, 729, 2944, 543, 5924, 729, 621, 2731, 2556, 286, 1107, 1109, 12528, 736, 5463, 476, 2764, 1412, 1691, 693, 476, 276, 281, 3953, 454, 1892, 7711, 10387, 21531, 592, 594, 2965, 1175, 2877, 930, 1804, 546, 16244, 1257, 543, 29921, 29571, 7021, 6503, 883, 519, 24255, 4484, 11718, 693, 533, 752, 514, 3820, 270, 1260, 680, 5593, 269, 594, 6415, 20994, 952, 713, 1055, 2105, 4896, 267, 594, 2219, 621, 1131, 581, 6654, 602, 621, 781, 1175, 20060, 1619, 689, 519, 1259, 621, 568, 2854, 269, 634, 3791, 5037, 568, 519, 1283, 20366, 2022, 936, 693, 1315, 337, 24579, 13559, 2719, 540, 519, 3923, 267, 12077, 30127, 321, 990, 710, 14492, 24579, 13559, 11302, 2389, 22736, 3562, 1532, 5476, 2996, 21867, 267, 543, 814, 4986, 547, 798, 609, 29571, 7021, 6503, 269, 7442, 3098, 267, 594, 15069, 8359, 1250, 546, 16244, 1257, 14605, 267, 855, 1100, 29405, 547, 519, 29571, 2750, 4219, 3060, 729, 5497, 269, 1107, 1109, 2521, 628, 5463, 476, 2764, 1412, 1691, 693, 476, 276, 281, 7906, 454, 1892, 7711, 2521, 628, 13259, 267, 602, 1131, 723, 1044, 8799, 547, 917, 269, 3733, 3284, 3098, 256, 1107, 1109, 12528, 736, 5463, 476, 2764, 1412, 1691, 693, 476, 866, 281, 5392, 692, 1012, 7420, 476, 271, 692, 7563, 2464, 2752, 654, 3008, 10691, 589, 966, 28475, 23184, 7495, 10911, 312, 8976, 22593, 295, 2207, 454, 4131, 1562, 17146, 676, 476, 1626, 7158, 538, 519, 9904, 780, 28062, 676, 1490, 1393, 3196, 780, 1012, 7420, 476, 272, 269, 272, 692, 288, 26395, 312, 5508, 700, 2894, 294, 8025, 29375, 302, 4959, 10691, 966, 28475, 23184, 7495, 645, 4488, 288, 27516, 8668, 4959, 9338, 19616, 4306, 5990, 590, 7246, 292, 6789, 589, 715, 3036, 300, 3201, 11404, 2464, 2752, 595, 7709, 295, 2207, 267, 6730, 9358, 27114, 590, 2316, 17247, 19836, 7473, 292, 6363, 3036, 4753, 5990, 2910, 11586, 2562, 9569, 269, 645, 7473, 17692, 9358, 25663, 309, 3633, 24199, 589, 2793, 14877, 22310, 14877, 9358, 25758, 11298, 5058, 654, 21822, 267, 645, 4488, 288, 27516, 5990, 590, 28719, 570, 20168, 296, 12702, 292, 27114, 18688, 6673, 12195, 296, 3633, 9215, 645, 3918, 288, 298, 24199, 595, 7709, 295, 2207, 23166, 4888, 312, 26395, 312, 700, 2894, 294, 8025, 269, 28313, 24202, 590, 26041, 27749, 570, 28692, 281, 5990, 19532, 27912, 645, 4629, 310, 301, 29332, 311, 808, 308, 6573, 3633, 744, 23615, 5990, 15829, 313, 312, 667, 8104, 563, 7659, 540, 630, 1626, 267, 2420, 6393, 28062, 676, 1490, 1393, 3196, 609, 519, 5351, 540, 519, 795, 822, 2444, 2815, 6388, 780, 1012, 7420, 476, 272, 269, 273, 692, 4306, 19272, 10976, 2207, 14566, 8582, 670, 3008, 654, 305, 3951, 307, 2894, 966, 5357, 9331, 2464, 9474, 27345, 670, 8582, 5990, 645, 12239, 654, 17751, 9215, 10790, 17395, 589, 18161, 19860, 4959, 23166, 29332, 4456, 5058, 11083, 5990, 631, 5495, 8025, 267, 681, 4047, 307, 3036, 2975, 267, 6730, 700, 4953, 307, 8991, 674, 21135, 3633, 623, 6020, 300, 2752, 6579, 312, 23166, 12327, 12710, 4456, 9569, 18161, 2562, 4811, 269, 667, 2177, 31415, 645, 5085, 23966, 12717, 589, 654, 16704, 5508, 8668, 267, 8946, 5495, 21203, 269, 5990, 13138, 7473, 295, 4959, 8946, 2969, 8668, 11550, 293, 8577, 2464, 8946, 2969, 589, 623, 6369, 4785, 296, 25770, 12327, 290, 27516, 4959, 589, 14408, 2316, 306, 293, 16898, 12088, 24639, 7034, 2316, 307, 7473, 292, 11123, 25783, 19489, 300, 23814, 269, 8946, 2969, 12164, 4753, 8976, 4959, 5508, 2910, 7838, 10345, 19766, 4041, 15288, 645, 7419, 298, 15760, 4888, 312, 5254, 3918, 307, 6224, 5508, 5990, 594, 7246, 294, 2562, 9569, 282, 670, 8582, 14110, 2207, 8668, 4959, 645, 7419, 298, 8946, 2969, 670, 3008, 590, 7838, 309, 4353, 3633, 966, 7644, 307, 308, 3201, 14877, 6167, 6224, 20315, 3633, 20978, 18040, 2894, 8668, 654, 3008, 674, 7644, 4306, 11550, 303, 5308, 3633, 17252, 2752, 14877, 670, 3201, 293, 589, 595, 7728, 7838, 312, 17985, 302, 15760, 11404, 4785, 12087, 631, 4696, 300, 2894, 9215, 594, 4811, 11553, 2464, 7728, 5442, 290, 2752, 2793, 3582, 5442, 5254, 19272, 10976, 2207, 14566, 8582, 24202, 966, 11223, 12327, 290, 4785, 2464, 269, 5254, 19272, 10976, 2207, 14566, 8582, 700, 10976, 2464, 2475, 5058, 645, 5456, 20796, 9169, 22244, 17395, 1412, 26685, 4932, 2177, 4306, 6938, 30888, 2894, 8577, 262, 6730, 1412, 7419, 24165, 303, 3036, 3582, 5723, 299, 2894, 8577, 8339, 6789, 589, 19419, 17109, 267, 8668, 654, 305, 3951, 2464, 22244, 17395, 589, 631, 7728, 3201, 14877, 14889, 299, 623, 8991, 2177, 23166, 589, 8946, 2464, 288, 7838, 4785, 269, 8946, 2969, 717, 5588, 19294, 8946, 2562, 32578, 281, 25783, 295, 4338, 306, 5254, 19272, 10976, 2207, 14566, 8582, 9501, 5495, 4811, 20231, 14160, 19798, 2464, 5508, 29706, 13697, 28475, 9474, 27345, 594, 4811, 631, 3036, 3201, 966, 5456, 3036, 269, 654, 21822, 267, 590, 13543, 267, 8668, 670, 3008, 590, 26041, 295, 8582, 674, 5495, 21254, 5990, 11123, 2316, 307, 11070, 292, 9215, 13673, 291, 13543, 744, 7838, 744, 7582, 302, 5058, 670, 9331, 6579, 8656, 3582, 6730, 20591, 26376, 293, 18306, 11083, 5990, 670, 3198, 9169, 5508, 594, 4811, 623, 2969, 10485, 2464, 269, 645, 7473, 5990, 700, 2752, 294, 2207, 18161, 19860, 4959, 8946, 2969, 5254, 19272, 10976, 2207, 14566, 8582, 654, 305, 3951, 2464, 589, 700, 5588, 5508, 700, 32670, 29865, 4932, 19006, 8946, 2969, 19294, 3198, 11553, 3722, 22310, 14877, 10691, 295, 5058, 269, 18040 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 519, 2645, 547, 3717, 741, 8186, 543, 3914, 741, 2407, 652, 1761, 563, 2171, 1489, 1453, 609, 10295, 676, 3246, 519, 2645, 602, 2232, 1896, 1883, 2127, 540, 991, 912, 13263, 700, 20315, 308, 17803, 667, 14110, 5085, 8008, 16774, 454, 13263, 700, 20315, 308, 17803, 24639, 13048, 3036, 4811, 454, 291, 2106, 320, 309, 2135, 2904, 518, 11219, 28427, 568, 519, 3056, 8502, 540, 2792, 3435, 543, 3872, 2645, 2966, 547, 948, 1453, 609, 2792, 2591, 543, 1565, 7965, 269, 1452, 2645, 666, 948, 1453, 609, 10295, 5968, 609, 741, 3885, 693, 1753, 267, 8362, 7119, 538, 519, 4928, 543, 723, 519, 2702, 547, 2744, 6209, 7694, 607, 4079, 563, 8505, 1143, 543, 2792, 1548, 568, 2792, 888, 1432, 568, 1582, 4082, 888, 31636, 568, 519, 1184, 676, 799, 835, 1268, 3947, 1344, 547, 610, 11392, 1344, 689, 1776, 1268, 269, 898, 568, 998, 2792, 602, 1453, 2769, 741, 4555, 543, 2093, 267, 1451, 1007, 1919, 543, 1628, 3347, 609, 1866, 269, 9442, 666, 581, 9275, 267, 855, 621, 666, 849, 1491, 593, 824, 3029, 971, 607, 1129, 1893, 267, 1603, 610, 1210, 513, 1455, 1305, 540, 6698, 272, 269, 9442, 666, 849, 581, 538, 519, 1106, 540, 11132, 7215, 267, 2623, 267, 1560, 1893, 267, 610, 998, 519, 946, 540, 513, 2792, 3926, 563, 31636, 568, 849, 827, 11589, 945, 596, 2731, 616, 607, 513, 1268, 269, 898, 779, 827, 11589, 707, 23141, 543, 2348, 519, 2702, 547, 1397, 1004, 707, 2189, 7209, 267, 4978, 267, 4606, 543, 2093, 269, 20309, 568, 513, 3860, 957, 602, 3947, 1142, 540, 721, 513, 5639, 1765, 11225, 938, 2189, 1582, 547, 1346, 1472, 721, 563, 12148, 4082, 3340, 519, 1318, 2645, 693, 519, 1318, 942, 538, 1931, 547, 581, 3811, 269, 1280, 1082, 1453, 609, 10295, 267, 1582, 4082, 543, 1514, 4296, 609, 1866, 666, 581, 4101, 585, 1312, 519, 1126, 543, 741, 6068, 3283, 269, 12580, 2039, 689, 1360, 7646, 547, 4049, 269, 25792, 4191, 543, 2589, 540, 891, 2591, 949, 1331, 281, 3040, 454, 21918, 1243, 610, 3668, 540, 11913, 4633, 454, 11795, 22187, 11589, 2115, 543, 6499, 454, 292, 3273, 26515, 630, 3725, 701, 908, 513, 2262, 610, 8360, 602, 814, 1044, 5892, 4862, 994, 299, 1601, 540, 1913, 602, 519, 1126, 729, 5892, 2111, 547, 2161, 454, 1103, 1464, 547, 2697, 3615, 630, 335, 3233, 6863, 1646, 994, 11795, 22187, 16460, 2055, 454, 21918, 1243, 3007, 547, 1004, 543, 3615, 538, 519, 1604, 454, 303, 3233, 3210, 547, 11913, 5528, 454, 2108, 20236, 4082, 1590, 1780, 883, 2792, 585, 922, 20106, 1848, 23421, 590, 269, 21207, 454, 23890, 568, 513, 454, 6826, 4157, 601, 2006, 543, 631, 790, 24229, 267, 476, 1220, 276, 454, 1432, 568, 32433, 894, 543, 4244, 2792, 286, 15531, 513, 3070, 4119, 618, 894, 543, 4244, 2792, 630, 288, 3722, 264, 666, 1331, 1022, 4640, 1031, 547, 2769, 4555, 267, 2115, 267, 6499, 267, 543, 2093, 269, 6201, 540, 1455, 589, 3722, 2994, 1522, 1331, 912, 297, 3722, 15477, 24912, 21096, 6579, 312, 590, 6224, 3633, 308, 4041, 454, 335, 27348, 2792, 12545, 454, 278, 281, 1789, 7537, 9215, 476, 279, 281, 876, 7537, 454, 6624, 589, 3722, 2994, 946, 4605, 6698, 267, 5022, 267, 1913, 543, 2453, 547, 2099, 519, 6835, 2877, 547, 2911, 827, 3615, 267, 1004, 543, 4025, 269, 5753, 609, 2792, 2591, 666, 946, 589, 3722, 547, 7110, 741, 4540, 4633, 610, 5372, 4633, 602, 568, 711, 6198, 563, 288, 3722, 585, 1483, 3734, 5872, 589, 3722, 666, 581, 1031, 782, 1554, 1279, 538, 1022, 1604, 1141, 2792, 568, 2352, 269, 589, 3722, 711, 1152, 2337, 519, 1126, 5968, 741, 6835, 267, 855, 849, 3947, 873, 3308, 1344, 602, 666, 2333, 741, 1620, 540, 519, 3510, 269, 1280, 1383, 267, 6029, 513, 1126, 513, 2792, 2985, 609, 5961, 540, 7802, 3688, 1522, 948, 873, 1732, 1174, 519, 1184, 540, 3478, 21039, 543, 1450, 873, 547, 8362, 7119, 538, 519, 2534, 630, 324, 3052, 269, 1118, 5079, 267, 6085, 267, 3092, 12175, 2755, 519, 1126, 949, 723, 2789, 2081, 547, 5968, 741, 2115, 543, 6499, 267, 2348, 1569, 547, 606, 589, 3722, 3926, 786, 1450, 873, 547, 4228, 741, 4555, 543, 1451, 1007, 1913, 2059, 519, 1259, 563, 1326, 21039, 693, 1153, 476, 280, 281, 3393, 7537, 9215, 476, 1015, 281, 3393, 7537, 5858, 942, 476, 1015, 281, 3393, 7537, 9215, 476, 1556, 281, 876, 7537, 15165, 476, 1556, 281, 876, 7537, 9215, 476, 1321, 281, 876, 6751, 2979, 476, 280, 281, 1428, 7537, 9215, 476, 280, 281, 3393, 7537, 12446, 454, 28425, 9898, 17472, 2177, 476, 272, 281, 876, 6751, 9215, 476, 273, 281, 876, 6751, 2542, 476, 273, 281, 876, 6751, 9215, 476, 274, 281, 876, 6751, 1148, 476, 275, 281, 876, 6751, 9215, 476, 276, 281, 876, 6751, 1404, 454, 14110, 2894, 5058, 476, 276, 281, 876, 6751, 9215, 476, 276, 281, 3393, 6751, 3548, 454, 288, 3722, 3947, 1453, 519, 3308, 1344, 602, 666, 2333, 741, 1620, 538, 1022, 3510, 563, 21609, 3593, 281, 7802, 454, 19734, 1676, 513, 8602, 454, 278, 281, 876, 6751, 9215, 476, 278, 281, 1789, 6751, 1491, 454, 8005, 666, 946, 589, 3722, 286, 7102, 1126, 609, 3908, 4633, 7102, 1126, 945, 568, 26068, 610, 945, 814, 7411, 14379, 538, 782, 3871, 666, 4324, 689, 519, 946, 540, 606, 589, 3722, 3926, 269, 5753, 945, 798, 711, 723, 519, 2702, 547, 5968, 666, 5732, 2887, 3297, 538, 3384, 741, 1893, 543, 7924, 1983, 269, 2060, 589, 3722, 3457, 267, 1453, 666, 281, 3040, 454, 14399, 609, 20150, 13760, 1604, 610, 2534, 10391, 1893, 563, 14946, 22192, 543, 32615, 1893, 1983, 269, 2422, 811, 3617, 2792, 2409, 543, 1265, 811, 3255, 547, 7119, 269, 2920, 1947, 4497, 538, 519, 2792, 1184, 269, 4004, 6510, 811, 1950, 2035, 982, 741, 4540, 1983, 1131, 1450, 563, 288, 3722, 3457, 616, 1419, 2808, 950, 1453, 798, 711, 1020, 4633, 538, 519, 2757, 1259, 610, 1995, 1713, 8488, 538, 741, 2792, 1646, 269, 898, 568, 2760, 1932, 2038, 610, 1932, 3735, 547, 1376, 1210, 589, 3722, 3457, 267, 607, 789, 666, 2285, 513, 5639, 547, 1453, 609, 10295, 543, 1683, 873, 609, 519, 2645, 789, 991, 547, 5968, 609, 519, 1158, 1472, 873, 563, 2171, 917, 602, 1453, 609, 10295, 1419, 4865, 1082, 9342, 602, 1450, 873, 547, 581, 3811, 3755, 540, 3090, 543, 1257, 2861, 2792, 1949, 269, 273, 454, 288, 3722, 20905, 2052, 1862, 28509, 513, 1804, 2179, 540, 2534, 10391, 6863, 547, 1489, 2792, 538, 519, 1753, 267, 1153, 543, 2146, 563, 14399, 609, 20150, 13760, 1732, 950, 789, 1294, 1945, 8957, 1175, 6217, 621, 563, 14399, 609, 20150, 6056, 538, 513, 3308, 1259, 543, 11291, 3308, 2592, 543, 8823, 3362, 563, 288, 3722, 20905, 2052, 1862, 22548, 1518, 2035, 538, 513, 6405, 543, 3308, 1259, 950, 972, 616, 7965, 609, 17391, 8223, 563, 288, 3722, 20905, 2052, 1862, 10558, 1893, 538, 513, 5812, 267, 4143, 543, 3308, 6073, 563, 3963, 1058, 589, 3722, 581, 1031, 547, 1489, 1453, 609, 10295, 286, 1677, 3986, 2792, 634, 3119, 2601, 585, 1210, 589, 3722, 3457, 609, 1453, 609, 10295, 568, 547, 3986, 2792, 267, 711, 547, 5372, 610, 21391, 519, 4540, 2792, 1983, 269, 4107, 589, 3722, 3926, 3755, 3136, 547, 946, 741, 4540, 2792, 1983, 630, 324, 3052, 1421, 11913, 3074, 267, 11132, 7215, 267, 17267, 267, 3092, 4700, 538, 1840, 547, 519, 3926, 269, 589, 3722, 3457, 4324, 1453, 609, 10295, 1317, 789, 666, 948, 873, 2769, 2933, 267, 2333, 1514, 5872, 609, 1866, 267, 1489, 4081, 2773, 267, 543, 3986, 4606, 540, 1582, 10290, 269, 589, 3722, 6304, 1193, 1161, 547, 3313, 519, 2792, 267, 8965, 543, 1514, 2115, 540, 519, 1126, 267, 2697, 519, 1126, 779, 9342, 543, 6474, 1346, 9342, 547, 2009, 589, 3722, 3435, 563, 2414, 1489, 1565, 543, 7589, 2755, 972, 616, 1082, 5079, 2139, 3823, 589, 3722, 3457, 267, 621, 568, 1271, 547, 2015, 782, 540, 519, 1919, 602, 1118, 606, 589, 3722, 3926, 3617, 585, 513, 1126, 609, 10295, 563, 2690, 1453, 609, 10295, 267, 606, 589, 3722, 3926, 1058, 281, 21561, 7589, 538, 519, 4928, 267, 2146, 543, 1753, 269, 17372, 594, 7968, 543, 2123, 3853, 269, 8081, 12905, 543, 7317, 2792, 269, 3629, 6209, 6835, 547, 519, 2792, 4891, 630, 324, 3052, 1421, 24107, 267, 4116, 267, 2385, 267, 3092, 12175, 8081, 1893, 543, 7924, 1565, 998, 513, 7347, 543, 11295, 1893, 5943, 269, 11559, 3811, 1554, 3562, 6377, 5872, 563, 306, 4456, 2475, 2464, 519, 10790, 12239, 4629, 9215, 19532, 27912, 14877, 8863, 302, 5308, 292, 670, 3041, 14174, 309, 3036, 25492, 590, 2793, 290, 298, 6341, 568, 476, 275, 1296, 2025, 543, 814, 513, 5868, 540, 10295, 269, 1261, 14560, 27858, 267, 2835, 543, 22939, 513, 2603, 540, 942, 4730, 3544, 269, 6341, 1031, 547, 10544, 1010, 3993, 779, 1688, 543, 7485, 1200, 547, 519, 10051, 950, 646, 4941, 513, 15165, 269, 1261, 1131, 3006, 3956, 543, 6542, 1582, 268, 29880, 5615, 950, 646, 729, 8572, 547, 5968, 1010, 3903, 269, 4595, 972, 941, 865, 1082, 5079, 267, 6341, 779, 3993, 1131, 2253, 20803, 782, 540, 519, 3688, 267, 835, 693, 513, 942, 543, 7227, 585, 6341, 547, 4431, 269, 901, 1184, 729, 3833, 24858, 585, 1312, 6341, 543, 1010, 3993, 543, 1131, 1419, 1267, 538, 513, 2347, 15835, 6658, 269, 3767, 267, 6341, 7959, 1447, 21616, 950, 646, 3096, 519, 8575, 652, 549, 547, 3533, 3442, 1010, 5172, 15165, 267, 2671, 1010, 4555, 543, 2911, 827, 519, 1554, 779, 2621, 609, 1010, 3158, 563, 6826, 3617, 585, 519, 1126, 779, 2085, 543, 2792, 2702, 1377, 269, 3629, 2318, 8965, 7028, 563, 338, 30055, 1548, 3435, 616, 2139, 547, 948, 2087, 2792, 1983, 286, 589, 3722, 3457, 971, 607, 519, 8575, 652, 549, 543, 2473, 12304, 616, 2966, 547, 2743, 519, 3376, 2039, 540, 2115, 585, 2043, 609, 10295, 269, 667, 2106, 320, 309, 2135, 814, 5916, 1382, 609, 3532, 2029, 547, 1711, 519, 1034, 2347, 1893, 5943, 2139, 593, 589, 3722, 3457, 2221, 267, 3955, 288, 3722, 339, 269, 898, 568, 519, 12600, 1893, 5943, 1031, 593, 782, 667, 2106, 320, 309, 2135, 2472, 543, 666, 581, 1031, 547, 5000, 1893, 543, 7924, 1646, 267, 1514, 5872, 543, 7589, 538, 519, 1153, 267, 1753, 543, 2146, 5468, 563, 18204, 3603, 18342, 7207, 1450, 3755, 547, 1852, 1455, 7622, 14233, 267, 971, 607, 751, 4582, 2888, 543, 23861, 5716, 267, 607, 1134, 607, 27687, 1846, 543, 22311, 9280, 609, 18342, 6552, 8060, 610, 2473, 268, 1015, 27196, 563, 288, 2370, 3787, 827, 938, 3457, 454, 306, 548, 2131, 543, 31042, 267, 519, 8575, 652, 549, 22179, 1175, 476, 273, 269, 4037, 6550, 630, 338, 3916, 6007, 1040, 634, 7471, 8254, 2636, 596, 547, 7001, 8823, 607, 789, 4755, 267, 543, 14678, 1039, 873, 547, 1007, 543, 4540, 2792, 3817, 269, 12232, 609, 1079, 6007, 19383, 547, 2743, 707, 2115, 269, 9208, 6007, 16569, 585, 476, 280, 269, 276, 3108, 269, 4675, 2176, 513, 2647, 24365, 540, 5542, 2409, 267, 1519, 5905, 267, 7772, 22496, 267, 5651, 572, 3009, 3750, 9477, 630, 15290, 1031, 609, 519, 16685, 16655, 264, 543, 10856, 23249, 269, 21091, 18342, 7207, 1450, 3755, 547, 1852, 1455, 7622, 14233, 971, 607, 751, 4582, 2888, 543, 23861, 5716, 267, 607, 1134, 607, 27687, 1846, 543, 22311, 9280, 609, 18342, 6552, 8060, 610, 2473, 268, 1015, 27196, 563, 330, 2077, 773, 3096, 4605, 6698, 593, 606, 1535, 12304, 547, 4228, 1200, 4555, 269, 26701, 773, 568, 476, 1428, 1296, 2025, 269, 2701, 666, 3717, 1896, 1913, 267, 855, 1152, 3081, 835, 2262, 693, 513, 942, 543, 568, 711, 2111, 547, 2322, 1913, 1927, 547, 5968, 811, 2347, 4555, 269, 26701, 773, 4667, 547, 1174, 513, 2603, 540, 1018, 568, 2469, 593, 1472, 1200, 267, 855, 568, 711, 2111, 547, 5968, 1018, 1352, 568, 3206, 269, 2701, 568, 4358, 547, 1224, 543, 1174, 476, 273, 268, 274, 2262, 2241, 5220, 269, 4014, 26701, 773, 568, 2111, 547, 1224, 930, 1913, 267, 1352, 2115, 547, 946, 519, 4605, 6698, 593, 606, 2473, 12304, 547, 4228, 1200, 4555, 1141, 1200, 1699, 1893, 1983, 1131, 711, 1450, 269, 26701, 773, 779, 7924, 1983, 723, 2799, 1317, 1352, 814, 1569, 547, 1883, 15236, 267, 4295, 1913, 543, 2262, 8638, 269, 2701, 568, 849, 4358, 547, 2170, 811, 609, 454, 1607, 1507, 267, 16600, 268, 1636, 762, 3926, 2934, 513, 476, 276, 892, 15497 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1250, 318, 1372, 14585, 2209, 1104, 10956, 318, 527, 267, 3111, 318, 5976, 318, 16911, 692, 287, 325, 841, 318, 5976, 318, 16911, 454, 3698, 2161, 7069, 11243, 28442, 476, 2187, 825, 1820, 263, 535, 257, 20365, 2012, 568, 2715, 4067, 348, 15419, 287, 516, 701, 520, 318, 527, 454, 3698, 2161, 300, 20687, 9852, 20687, 2187, 825, 1820, 263, 535, 257, 346, 332, 20687, 348, 8206, 10590, 2020, 287, 516, 701, 520, 318, 527, 454, 3698, 1491, 4671, 6851, 263, 1101, 267, 2034, 476, 2187, 825, 1820, 263, 535, 257, 346, 14140, 348, 2715, 16149, 348, 834, 476, 9239, 287, 516, 701, 520, 318, 527, 454, 3698, 1491, 5332, 821, 263, 476, 476, 2187, 825, 1820, 2891, 5591, 4661, 729, 5293, 15419, 339, 787, 912, 825, 2161, 7069, 11243, 2891, 21691, 334, 5602, 21955, 1401, 4003, 607, 5470, 912, 825, 1820, 263, 5470, 476, 12467, 825, 1820, 30800, 25669, 300, 20687, 263, 834, 290, 984, 571, 918, 2967, 257, 12467, 2745, 30800, 339, 820, 4671, 6851, 263, 834, 300, 12011, 698, 328, 2580, 834, 2710, 257, 12467, 2745, 10797, 339, 820, 5332, 821, 4590, 0, 12163, 6524, 1376, 267, 979, 547, 519, 1739, 25680, 322, 794, 454, 268, 1496, 5575, 476, 1015, 1296, 540, 5616, 6006, 28488, 10059, 2517, 2998, 334, 3052, 331, 270, 274, 5633, 308, 331, 291, 2020, 12606, 632, 26417, 3758, 543, 26948, 547, 24440, 14067, 1442, 12774, 27406, 3097, 5475, 602, 5299, 519, 20927, 543, 519, 1101, 476, 276, 5638, 543, 1711, 519, 3758, 24440, 14067, 1442, 12774, 28804, 328, 27406, 692, 20701, 454, 5228, 2681, 4821, 1104, 5983, 267, 13910, 267, 2332, 454, 5814, 3760, 692, 3240, 318, 17882, 815, 3760, 269, 17882, 4590, 1012, 713, 568, 513, 512, 1716, 776, 952, 454, 529, 318, 13388, 3298, 815, 6936, 952, 1250, 318, 17882, 2652, 1412, 20360, 3298, 262, 3116, 8771, 454, 258, 2422, 6460, 6936, 585, 9486, 1949, 454, 8181, 263, 6460, 284, 529, 318, 13388, 3298, 476, 9239, 322, 12364, 24786, 815, 1412, 2998, 4355, 14067, 1442, 12774, 27406, 7055, 322, 12364, 18316, 815, 1930, 263, 26417, 24786, 12467, 21653, 815, 476, 271, 692, 1721, 1899, 538, 26417, 18316, 912, 825, 1820, 263, 476, 535, 257, 346, 20288, 14371, 3918, 2894, 348, 2715, 1467, 348, 257, 12467, 825, 2450, 23785, 272, 692, 2745, 263, 535, 257, 315, 333, 13707, 3515, 616, 2715, 476, 2450, 476, 7684, 257, 3738, 0, 1012, 5192, 2609, 538, 5044, 692, 3712, 832, 815, 1496, 834, 1042, 2580, 834, 13582, 2580, 834, 19990, 2580, 834, 18872, 257, 2073, 834, 19009, 2580, 834, 20580, 921, 257, 23378, 2745, 263, 535, 10454, 2609, 538, 2681, 5044, 616, 2715, 3712, 832, 348, 5602, 21653, 815, 7003, 263, 4778, 25589, 2745, 6600, 10454, 2450, 540, 2681, 5044, 568, 2715, 21653, 348, 5602, 18411, 1729, 1569, 606, 1808, 3693, 267, 3097, 933, 946, 741, 2990, 538, 519, 5044, 543, 23049, 454, 18257, 692, 2745, 263, 535, 10454, 6221, 538, 4994, 476, 271, 2433, 2715, 4778, 314, 271, 316, 7684, 257, 12467, 2745, 263, 535, 10454, 6221, 538, 4994, 476, 272, 2433, 2715, 4778, 314, 272, 316, 7684, 257, 12467, 2745, 263, 535, 10454, 6221, 538, 4994, 476, 273, 2433, 2715, 4778, 314, 273, 316, 7684, 257, 25589, 258, 1432, 4755, 950, 946, 606, 4994, 609, 1871, 11224, 547, 2450, 888, 28744, 263, 535, 10454, 3693, 538, 4994, 11224, 547, 2450, 476, 2715, 3712, 832, 314, 2450, 9948, 476, 7684, 834, 476, 25589, 2745, 263, 535, 10454, 2063, 3693, 267, 1141, 4994, 568, 2450, 910, 272, 630, 2715, 21653, 910, 272, 348, 3738, 2433, 2715, 3712, 832, 314, 2450, 910, 272, 9948, 476, 7684, 834, 476, 476, 9239, 258, 1018, 786, 1838, 754, 609, 2942, 4994, 1410, 454, 2745, 263, 535, 10454, 6221, 538, 4994, 910, 272, 2433, 2715, 4778, 314, 910, 272, 9948, 7684, 257, 12467, 2745, 263, 535, 10454, 6221, 538, 4994, 910, 273, 2433, 2715, 4778, 314, 910, 273, 9948, 7684, 257, 12467, 2745, 263, 535, 10454, 6221, 538, 4994, 910, 276, 2433, 2715, 4778, 314, 910, 276, 9948, 7684, 257, 12467, 2745, 263, 535, 10454, 6221, 538, 4994, 910, 277, 2433, 2715, 4778, 314, 910, 277, 9948, 7684, 257, 25589, 1012, 1548, 1838, 754, 950, 4994, 568, 2539, 982, 1101, 2990, 888, 28744, 263, 535, 10454, 6221, 538, 4994, 910, 278, 2433, 2715, 4778, 314, 910, 278, 9948, 7684, 257, 476, 9239, 1012, 11314, 907, 0, 1012, 3143, 7440, 1599, 454, 3698, 533, 532, 10031, 825, 5727, 1607, 30775, 819, 1175, 2132, 1862, 533, 532, 256, 2433, 264, 8173, 825, 2132, 834, 2710, 532, 1862, 533, 532, 15323, 258, 1079, 2053, 267, 519, 2132, 1871, 267, 568, 711, 4558, 10756, 4771, 4590, 4771, 10797, 258, 834, 2710, 532, 3267, 4771, 256, 1631, 568, 4558, 538, 513, 4756, 4840, 4771, 318, 19702, 762, 815, 533, 532, 30800, 3698, 835, 318, 30348, 263, 2012, 476, 2187, 825, 2132, 535, 257, 15916, 256, 3733, 2012, 568, 2715, 4067, 348, 5016, 821, 318, 30348, 2891, 8867, 334, 5602, 821, 318, 30348, 2891, 5353, 30807, 1014, 15419, 258, 952, 1100, 4661, 568, 1305, 267, 6494, 5470, 538, 7097, 454, 258, 821, 318, 30348, 10797, 3698, 9949, 318, 30348, 263, 2012, 815, 257, 297, 2129, 5500, 257, 476, 2187, 825, 2132, 535, 257, 15916, 2715, 4067, 348, 5016, 454, 29239, 318, 30348, 4590, 29239, 318, 30348, 2891, 8867, 334, 5602, 29239, 318, 30348, 2891, 295, 1872, 334, 5602, 258, 6494, 5470, 267, 952, 811, 7440, 616, 1305, 454, 258, 29239, 318, 30348, 263, 834, 297, 2737, 2580, 834, 19723, 928, 257, 25589, 3698, 1079, 318, 1173, 3701, 263, 1101, 267, 2063, 6889, 2710, 324, 257, 476, 2187, 825, 2132, 535, 257, 28982, 267, 2715, 14140, 348, 2715, 18431, 348, 5016, 18314, 318, 1173, 3701, 2891, 297, 517, 5500, 5602, 18314, 318, 1173, 3701, 2891, 297, 10224, 2580, 834, 2419, 1551, 553, 638, 1737, 334, 15419, 258, 952, 1152, 835, 4661, 568, 18593, 267, 621, 1590, 581, 519, 2063, 3283, 454, 258, 1219, 4636, 318, 817, 580, 618, 263, 1101, 6889, 297, 517, 5500, 2580, 2063, 476, 2187, 258, 825, 2132, 535, 257, 3528, 324, 676, 324, 2715, 14140, 348, 2715, 18431, 348, 5016, 3698, 1079, 318, 29239, 263, 1101, 6889, 297, 517, 5500, 2580, 2063, 815, 257, 25187, 5270, 257, 476, 2187, 825, 2132, 535, 257, 346, 14140, 348, 2715, 18431, 348, 568, 8384, 29154, 571, 918, 2967, 15323, 18314, 318, 29239, 4590, 18314, 318, 29239, 2891, 21659, 29560, 5602, 18314, 318, 29239, 263, 834, 299, 22654, 810, 2580, 834, 25405, 1408, 257, 12467, 18314, 318, 29239, 263, 2063, 6889, 299, 22654, 810, 2580, 1101, 6889, 25405, 1408, 5842, 257, 25589, 2745, 2891, 295, 770, 320, 3288, 642, 16695, 4816, 8442, 0, 454, 1721, 1297, 538, 2039, 263, 476, 272, 267, 476, 1556, 476, 2187, 825, 1820, 6600, 10454, 1699, 1297, 568, 2715, 15893, 348, 15419, 2745, 10797, 1721, 4484, 538, 834, 31435, 13426, 825, 1820, 263, 4484, 269, 21639, 3890, 476, 3738, 0, 1012, 454, 529, 14682, 797, 815, 6936, 454, 529, 10734, 611, 815, 476, 8771, 692, 1012, 18948, 7215, 692, 258, 11224, 2652, 454, 2745, 263, 535, 257, 276, 2652, 476, 276, 2433, 2715, 476, 276, 2652, 476, 276, 7684, 257, 476, 12467, 2745, 263, 535, 257, 276, 2652, 476, 277, 2433, 2715, 476, 276, 2652, 476, 277, 7684, 1422, 333, 257, 476, 25589, 258, 711, 3160, 547, 11203, 454, 2745, 263, 535, 257, 280, 11203, 476, 278, 2433, 2715, 476, 280, 11203, 476, 278, 7684, 257, 476, 12467, 2745, 263, 535, 257, 280, 11203, 476, 280, 2433, 2715, 476, 280, 11203, 476, 280, 7684, 1422, 333, 257, 476, 476, 9239, 258, 1447, 982, 2999, 454, 2745, 263, 535, 257, 276, 2999, 476, 277, 2433, 2715, 476, 276, 2999, 476, 277, 7684, 257, 476, 12467, 2745, 263, 535, 257, 276, 2999, 476, 276, 2433, 2715, 476, 276, 2999, 476, 276, 7684, 257, 476, 12467, 2745, 263, 535, 257, 276, 2999, 476, 275, 2433, 2715, 476, 276, 2999, 476, 275, 7684, 476, 1422, 333, 257, 476, 476, 9239, 258, 3152, 982, 28825, 2745, 263, 535, 257, 276, 3436, 476, 275, 2433, 2715, 476, 276, 3436, 476, 275, 7684, 257, 476, 12467, 2745, 263, 535, 257, 276, 3436, 476, 276, 2433, 2715, 476, 276, 3436, 476, 276, 7684, 257, 476, 12467, 2745, 263, 535, 257, 276, 3436, 476, 277, 2433, 2715, 476, 276, 3436, 476, 277, 7684, 476, 1422, 333, 257, 476, 476, 9239, 258, 1447, 610, 3160, 982, 13843, 454, 2745, 263, 535, 257, 276, 10922, 476, 276, 2433, 2715, 476, 276, 10922, 476, 276, 7684, 476, 834, 476, 12467, 2745, 263, 535, 257, 276, 10922, 476, 277, 2433, 2715, 476, 276, 10922, 476, 277, 7684, 476, 834, 476, 12467, 2745, 263, 535, 257, 276, 10922, 476, 275, 2433, 2715, 476, 276, 10922, 476, 277, 7684, 476, 1422, 333, 257, 476, 476, 9239, 258, 3152, 610, 3160, 982, 13843, 454, 2745, 263, 535, 257, 276, 13843, 476, 276, 2433, 2715, 476, 276, 13843, 476, 276, 7684, 257, 476, 12467, 2745, 263, 535, 257, 276, 13843, 476, 275, 2433, 2715, 476, 276, 13843, 476, 275, 7684, 257, 476, 12467, 2745, 263, 535, 257, 276, 13843, 476, 277, 2433, 2715, 476, 276, 13843, 476, 277, 7684, 476, 1422, 333, 257, 476, 12467, 0, 454, 12803, 24786, 815, 29717, 270, 325, 3796, 270, 3240, 5575, 17572, 17902, 262, 7531, 258, 15411, 513, 3758, 454, 3240, 18316, 815, 1930, 263, 3758, 24786, 267, 1412, 342, 262, 25589, 258, 1205, 9623, 540, 519, 3758, 454, 2745, 263, 535, 257, 11243, 2433, 2715, 3240, 18316, 20508, 348, 257, 12467, 2745, 263, 535, 257, 3674, 1849, 2216, 2433, 2715, 3240, 18316, 25379, 348, 257, 12467, 2745, 263, 535, 257, 28926, 2287, 7154, 2433, 2715, 3240, 18316, 6230, 1712, 348, 257, 25589, 258, 3503, 538, 3758, 454, 3240, 18316, 22182, 263, 834, 23911, 568, 15346, 10590, 12467, 3240, 18316, 22182, 263, 14307, 855, 922, 16830, 10084, 29441, 256, 2433, 17983, 12467, 3240, 18316, 25379, 30800, 258, 2561, 754, 538, 519, 3758, 454, 3240, 18316, 815, 1930, 263, 3758, 24786, 267, 1412, 320, 262, 12467, 3240, 18316, 22182, 2891, 1862, 543, 594, 849, 899, 10084, 5602, 3240, 18316, 25379, 10797, 258, 1224, 519, 1543, 454, 3240, 18316, 815, 1930, 263, 3758, 24786, 267, 1412, 337, 262, 12467, 3667, 318, 20880, 815, 1250, 18316, 18667, 1467, 4590, 2745, 263, 535, 10454, 1543, 540, 1250, 3758, 568, 281, 2715, 3667, 318, 20880, 348, 257, 12467, 3240, 18316, 25379, 4590, 0, 258, 530, 11781, 532, 3758, 267, 476, 277, 3029, 547, 2328, 513, 3758, 630, 855, 711, 3908, 547, 994, 258, 2328, 538, 513, 3758, 609, 530, 4781, 267, 786, 936, 20183, 519, 1543, 267, 18688, 27334, 9128, 8085, 692, 334, 10895, 815, 1496, 834, 303, 6680, 2580, 834, 4263, 23007, 2580, 834, 24465, 2580, 834, 306, 4822, 2580, 834, 9209, 545, 257, 476, 6540, 1012, 12861, 3758, 12084, 4905, 17902, 454, 5976, 1930, 263, 834, 334, 10895, 4905, 17902, 2580, 834, 342, 257, 3738, 607, 3758, 272, 912, 825, 3758, 272, 9884, 761, 3894, 263, 12084, 25589, 2745, 263, 834, 17572, 12084, 4905, 17902, 729, 2813, 257, 25589, 1012, 12861, 3758, 12084, 6349, 17902, 454, 5976, 1930, 263, 834, 334, 10895, 6349, 17902, 2580, 834, 342, 8442, 607, 3758, 273, 912, 825, 1496, 3758, 273, 22182, 263, 334, 4117, 264, 476, 585, 5836, 538, 12084, 476, 6540, 2745, 263, 834, 17572, 12084, 6349, 17902, 729, 2813, 257, 25589, 1012, 12861, 3758, 12084, 6734, 17902, 454, 5976, 1930, 263, 834, 334, 10895, 6734, 17902, 2580, 834, 342, 8442, 607, 3758, 274, 912, 825, 585, 5836, 538, 12084, 912, 2018, 3758, 274, 22182, 263, 5836, 994, 2018, 3758, 274, 22182, 263, 27719, 333, 257, 25589, 2745, 263, 834, 17572, 12084, 6734, 17902, 729, 2813, 257, 25589, 1012, 12861, 3758, 12084, 6860, 17902, 454, 5976, 1930, 263, 834, 334, 10895, 6860, 17902, 2580, 834, 342, 8442, 607, 3758, 275, 912, 825, 585, 5836, 538, 12084, 912, 2018, 3758, 275, 22182, 263, 535, 257, 346, 334, 4117, 4153, 333, 257, 25589, 2745, 263, 834, 17572, 12084, 6860, 17902, 729, 2813, 257, 12467, 27030, 1012, 12861, 3758, 12084, 4962, 17902, 454, 5976, 1930, 263, 834, 334, 10895, 4962, 17902, 2580, 834, 342, 257, 3738, 607, 3758, 276, 912, 825, 585, 5836, 538, 12084, 912, 1038, 1820, 263, 5836, 267, 3758, 284, 12803, 276, 25589, 2745, 263, 834, 17572, 12084, 4962, 17902, 729, 2813, 257, 25589, 1012, 2870 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 322, 5317, 281, 583, 325, 279, 454, 258, 769, 2772, 714, 30685, 525, 454, 15680, 597, 815, 834, 301, 4840, 11133, 284, 271, 454, 3916, 924, 284, 6358, 2891, 4504, 1238, 345, 8619, 1714, 561, 6403, 332, 924, 281, 19515, 604, 1929, 924, 10922, 476, 271, 912, 825, 2892, 597, 2652, 257, 306, 4840, 825, 1820, 834, 4504, 1238, 345, 8619, 796, 562, 14243, 1067, 334, 561, 6403, 332, 924, 27082, 16343, 4799, 12828, 912, 825, 1247, 630, 2892, 597, 2525, 257, 301, 257, 476, 2187, 1038, 1948, 670, 6210, 5430, 553, 454, 1038, 1820, 1003, 454, 1038, 1948, 9214, 618, 334, 454, 1038, 1003, 815, 1003, 1341, 476, 273, 454, 1038, 1948, 2920, 16343, 2512, 11456, 632, 2892, 5866, 23313, 547, 8619, 454, 1038, 952, 630, 1003, 3436, 1929, 924, 2567, 1948, 9473, 545, 18059, 632, 2892, 5866, 454, 2018, 2892, 597, 815, 834, 306, 4840, 0, 258, 322, 5317, 281, 583, 325, 279, 454, 258, 769, 2772, 714, 30685, 525, 454, 15680, 597, 815, 834, 301, 4840, 11133, 284, 272, 454, 6112, 630, 2892, 597, 2525, 257, 301, 257, 476, 2187, 825, 1948, 670, 6210, 5430, 553, 454, 825, 1820, 1003, 454, 825, 1948, 9214, 618, 334, 454, 825, 1003, 284, 1003, 1341, 272, 454, 825, 1948, 2920, 16343, 2512, 11456, 632, 2892, 5866, 23313, 547, 8619, 454, 825, 952, 630, 1003, 285, 2004, 476, 2567, 1948, 9473, 545, 18059, 632, 2892, 5866, 454, 1038, 2892, 597, 815, 834, 306, 4840, 0, 454, 3269, 3269, 454, 293, 9281, 302, 454, 20701, 5035, 29571, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 14403, 815, 29129, 825, 1219, 7903, 4311, 267, 6221, 17107, 1038, 29185, 1038, 2433, 12407, 6221, 281, 20504, 338, 6221, 607, 20368, 2678, 454, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 1582, 269, 14403, 6910, 263, 14403, 9239, 825, 1219, 1402, 4311, 2187, 1038, 8173, 1038, 901, 786, 4894, 7831, 6221, 454, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 2132, 1582, 269, 14403, 21014, 30800, 825, 1219, 32708, 4311, 2187, 1038, 8173, 1038, 14190, 338, 721, 547, 1294, 519, 7831, 2609, 454, 1038, 2433, 8873, 281, 7831, 6221, 454, 1038, 8173, 1038, 952, 1582, 269, 14403, 912, 2018, 2132, 1582, 269, 14403, 15631, 272, 2639, 1038, 3116, 912, 2018, 2132, 7183, 692, 825, 1219, 2450, 4311, 2187, 1038, 952, 1582, 269, 14403, 912, 2018, 2132, 7003, 4311, 269, 14403, 994, 1038, 3116, 912, 2018, 2132, 7183, 692, 825, 1219, 568, 24105, 4311, 17107, 1038, 8173, 1038, 6645, 6787, 519, 10518, 568, 2506, 27679, 610, 711, 454, 1038, 2433, 8873, 281, 645, 944, 10025, 454, 1038, 8173, 1038, 2132, 1582, 269, 14403, 2652, 29129, 454, 3698, 9258, 19304, 17107, 825, 10518, 815, 29571, 4590, 825, 1250, 1598, 815, 15234, 692, 825, 585, 1775, 538, 2039, 12759, 19304, 15892, 1038, 10518, 4877, 2313, 19304, 5157, 20285, 825, 1193, 815, 15234, 692, 825, 1247, 711, 10518, 18994, 24105, 10031, 1038, 7843, 815, 10518, 21014, 4590, 1038, 1193, 815, 1193, 1341, 7843, 454, 825, 2132, 1193, 692, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 9258, 2891, 306, 537, 332, 559, 15419, 19638, 692, 7531, 0, 5035, 29571, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 14403, 815, 29129, 825, 1219, 7903, 4311, 267, 6221, 17107, 1038, 29185, 1038, 2433, 12407, 6221, 281, 20504, 338, 6221, 607, 20368, 2678, 454, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 1582, 269, 14403, 6910, 263, 14403, 2020, 825, 1219, 1402, 4311, 2187, 1038, 8173, 1038, 901, 786, 4894, 7831, 6221, 454, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 2132, 1582, 269, 14403, 21014, 30800, 825, 1219, 32708, 4311, 2187, 1038, 8173, 1038, 14190, 338, 721, 547, 1294, 519, 7831, 2609, 454, 1038, 2433, 8873, 281, 7831, 6221, 454, 1038, 8173, 1038, 952, 1582, 269, 14403, 912, 2018, 2132, 1582, 269, 14403, 15631, 272, 2639, 1038, 3116, 912, 2018, 2132, 7183, 692, 825, 1219, 2450, 4311, 2187, 1038, 952, 1582, 269, 14403, 912, 2018, 2132, 7003, 4311, 269, 14403, 994, 1038, 3116, 912, 2018, 2132, 7183, 692, 825, 1219, 568, 24105, 4311, 17107, 1038, 8173, 1038, 6645, 6787, 519, 10518, 568, 2506, 27679, 610, 711, 454, 1038, 2433, 8873, 281, 645, 944, 10025, 454, 1038, 8173, 1038, 2132, 1582, 269, 14403, 2652, 29129, 454, 3698, 30775, 16325, 2187, 825, 10518, 815, 29571, 4590, 825, 1247, 1003, 3436, 476, 271, 912, 1038, 14230, 476, 815, 1003, 4939, 476, 273, 454, 1038, 10518, 4877, 2313, 263, 8145, 664, 1457, 994, 1038, 1003, 815, 1003, 12262, 476, 273, 692, 825, 9041, 1598, 815, 1412, 7055, 825, 1247, 711, 10518, 18994, 24105, 10031, 1038, 7843, 815, 10518, 21014, 4590, 1038, 9041, 1598, 815, 9041, 1598, 1341, 1193, 24867, 655, 2020, 825, 2132, 703, 263, 318, 1598, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 6600, 15635, 263, 2420, 4917, 0, 258, 13127, 363, 373, 421, 497, 378, 23989, 13213, 505, 27310, 418, 493, 496, 24662, 26406, 496, 31365, 454, 5035, 5903, 11966, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 12785, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 24450, 31374, 8266, 4311, 267, 2212, 281, 5903, 11966, 264, 9847, 5903, 11966, 912, 1038, 952, 2212, 568, 7183, 610, 2212, 12785, 568, 7183, 912, 2018, 2132, 2212, 454, 1038, 1007, 318, 3650, 815, 5903, 11966, 263, 272, 994, 1038, 1007, 318, 3650, 12785, 815, 2212, 454, 1038, 533, 815, 2212, 12785, 454, 1038, 2063, 815, 2212, 454, 1038, 1247, 533, 568, 711, 7183, 912, 2018, 31575, 815, 533, 12785, 454, 2018, 533, 272, 815, 1007, 318, 3650, 12785, 1948, 418, 490, 485, 12571, 495, 27962, 30678, 7511, 454, 2018, 533, 273, 815, 1007, 318, 3650, 1948, 418, 490, 485, 12571, 495, 16533, 493, 30678, 7511, 454, 2018, 1247, 533, 256, 284, 533, 272, 912, 3546, 952, 533, 272, 22183, 285, 284, 335, 22183, 912, 7386, 2736, 454, 3546, 533, 273, 284, 335, 272, 454, 3546, 533, 272, 284, 335, 272, 12785, 454, 2018, 952, 533, 2652, 533, 272, 912, 3546, 2063, 815, 533, 454, 3546, 533, 284, 339, 5404, 454, 3546, 3136, 454, 2018, 533, 12785, 815, 533, 272, 454, 2018, 533, 273, 12785, 815, 533, 454, 2018, 2063, 12785, 815, 31575, 454, 2018, 533, 815, 339, 5404, 454, 1038, 2132, 1007, 318, 3650, 12785, 0, 5503, 815, 3403, 3488, 21745, 924, 522, 562, 727, 798, 694, 340, 942, 281, 20298, 31642, 19553, 690, 657, 815, 703, 9272, 6600, 262, 346, 5503, 348, 28185, 537, 281, 1412, 17903, 341, 3218, 807, 815, 703, 9272, 6600, 262, 346, 5503, 348, 575, 534, 17924, 281, 1412, 17903, 11391, 622, 815, 703, 9272, 6600, 262, 346, 5503, 348, 3227, 520, 537, 281, 1412, 17903, 1457, 549, 3279, 815, 703, 9272, 6600, 262, 346, 5503, 348, 829, 1372, 340, 281, 1412, 264, 10142, 341, 3218, 807, 4671, 4973, 815, 642, 3218, 807, 2608, 476, 274, 1477, 341, 3218, 807, 318, 1911, 815, 3067, 19553, 690, 657, 2608, 476, 274, 1477, 11391, 622, 4671, 4973, 815, 3227, 622, 2608, 476, 272, 1477, 1457, 549, 3279, 4671, 4973, 815, 3541, 549, 3279, 2608, 476, 274, 1477, 335, 2632, 657, 318, 1146, 327, 657, 815, 642, 3218, 807, 4671, 4973, 1341, 3227, 622, 4671, 4973, 1477, 704, 1417, 783, 815, 533, 2632, 657, 318, 1146, 327, 657, 23218, 3218, 807, 318, 1911, 2608, 476, 1911, 5897, 2745, 6600, 262, 346, 5503, 348, 575, 534, 17924, 281, 346, 335, 2632, 657, 318, 1146, 327, 657, 348, 552, 829, 1372, 340, 281, 346, 1457, 549, 3279, 4671, 4973, 348, 20298, 2745, 6600, 262, 346, 5503, 348, 751, 557, 19804, 2600, 783, 632, 281, 2715, 704, 1417, 783, 348, 10807, 0, 5035, 17593, 294, 2940, 24998, 2187, 825, 1239, 815, 7183, 454, 825, 1453, 815, 7183, 692, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 21606, 815, 1412, 7055, 1038, 1582, 269, 18244, 815, 29129, 825, 1219, 1205, 12774, 4311, 2187, 1038, 23288, 2018, 16849, 519, 8034, 3960, 762, 1239, 540, 519, 5444, 563, 1038, 23288, 1038, 2132, 1582, 21606, 692, 825, 1219, 1305, 12774, 4311, 267, 1239, 2187, 1038, 23288, 2018, 5036, 519, 1239, 540, 713, 5444, 454, 1038, 23288, 1038, 1582, 21606, 815, 1239, 692, 825, 1219, 1039, 15220, 10242, 4311, 267, 1007, 2187, 1038, 1582, 269, 18244, 269, 2169, 754, 28956, 2020, 825, 1219, 1039, 15220, 843, 4311, 267, 1126, 267, 4994, 22561, 2187, 1038, 23288, 2018, 1520, 1091, 513, 1007, 5444, 1453, 547, 519, 1699, 5444, 563, 1038, 23288, 1038, 952, 4994, 2652, 7183, 912, 2018, 1582, 269, 18244, 6910, 263, 18876, 994, 1038, 3116, 912, 2018, 1582, 269, 18244, 27044, 263, 8161, 267, 1126, 2020, 825, 1219, 1205, 15220, 10242, 4311, 2187, 1038, 23288, 2018, 16849, 782, 519, 6090, 1453, 269, 1403, 519, 1699, 5444, 454, 2018, 814, 1100, 1453, 267, 1287, 621, 7024, 606, 8900, 1592, 563, 1038, 23288, 1038, 2132, 1582, 269, 18244, 692, 825, 1219, 4894, 15220, 843, 4311, 267, 3077, 2187, 1038, 1582, 269, 18244, 31927, 6025, 13759, 2020, 825, 1219, 5372, 15220, 843, 4311, 267, 3077, 267, 1007, 2187, 1038, 23288, 2018, 898, 30283, 513, 1126, 609, 513, 1007, 835, 269, 901, 1599, 568, 711, 25276, 454, 2018, 799, 1797, 621, 1281, 711, 3406, 585, 519, 11937, 540, 519, 5444, 781, 454, 2018, 1453, 269, 898, 7024, 519, 5444, 799, 786, 581, 8719, 563, 1038, 23288, 1038, 4994, 815, 1582, 269, 18244, 28827, 6025, 13759, 994, 1038, 2025, 815, 1582, 269, 18244, 27709, 2639, 1038, 1582, 269, 18244, 27709, 316, 815, 3077, 454, 1038, 2132, 2025, 692, 825, 1219, 1453, 20311, 4311, 2187, 1038, 2132, 7003, 4311, 269, 18244, 2020, 825, 1219, 31096, 4311, 2187, 1038, 23288, 2018, 5463, 1938, 765, 1430, 713, 5444, 568, 8034, 3960, 762, 610, 711, 563, 2018, 6936, 1797, 602, 713, 5444, 1058, 711, 581, 8034, 3960, 539, 563, 1038, 23288, 1038, 2132, 8771, 692, 825, 1219, 4573, 622, 4311, 267, 4573, 1807, 2187, 1038, 23288, 2018, 3096, 513, 23688, 1807, 1843, 547, 18348, 930, 540, 922, 1239, 563, 1038, 23288, 1038, 1239, 815, 4573, 1807, 6230, 583, 622, 4311, 10947, 12774, 15405, 1038, 1582, 15630, 12774, 16597, 2020, 825, 1219, 17626, 1125, 4311, 2187, 1038, 23288, 2018, 17626, 3278, 922, 1239, 543, 1453, 781, 1239, 883, 454, 2018, 513, 676, 11687, 2590, 563, 1038, 23288, 1038, 1239, 815, 1582, 10947, 12774, 4590, 1038, 952, 1239, 2652, 7183, 912, 2018, 1239, 815, 1412, 7055, 1038, 585, 1126, 538, 1582, 269, 18244, 912, 2018, 1239, 6834, 1126, 4732, 518, 658, 1125, 4590, 1038, 2132, 1239, 692, 825, 1219, 568, 318, 16029, 4311, 267, 824, 2187, 1038, 23288, 2018, 546, 16244, 454, 1038, 23288, 1038, 2132, 8771, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 23288, 2018, 22417, 519, 5444, 547, 676, 11687, 2590, 563, 1038, 23288, 1038, 2132, 1582, 30419, 23919, 10797, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 32046, 593, 570, 826, 7325, 476, 476, 275, 476, 1724, 281, 5325, 281, 2537, 476, 1001, 278, 5897, 287, 10461, 281, 9147, 2806, 903, 1873, 1779, 518, 1477, 18851, 5897, 5228, 2979, 1104, 6989, 5897, 3698, 694, 336, 8999, 17347, 8029, 825, 2132, 703, 17347, 16732, 330, 1341, 476, 272, 8358, 273, 10142, 258, 2889, 12378, 6724, 1477, 326, 284, 274, 1477, 327, 284, 276, 1477, 331, 284, 1911, 271, 5897, 258, 20412, 622, 2040, 7182, 1477, 331, 268, 284, 272, 1477, 10401, 284, 28776, 10857, 17320, 3418, 15883, 284, 28776, 10857, 10774, 3418, 24472, 284, 28776, 10857, 14370, 326, 265, 327, 264, 10142, 258, 8999, 23385, 540, 575, 543, 554, 1477, 2745, 14116, 265, 572, 336, 8999, 263, 10401, 264, 1341, 554, 265, 572, 336, 8999, 6357, 9508, 264, 910, 575, 265, 327, 265, 572, 336, 8999, 14116, 10397, 4297, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 32046, 593, 7325, 476, 866, 476, 1001, 278, 5897, 287, 10461, 281, 9147, 2806, 903, 1873, 1779, 518, 1477, 18851, 5897, 5035, 21121, 10831, 6769, 453, 18851, 31590, 4120, 7089, 4147, 1477, 453, 3519, 13935, 6769, 453, 453, 7407, 567, 910, 519, 1871, 540, 519, 6906, 1297, 2165, 1477, 453, 453, 3410, 825, 910, 519, 2165, 1297, 1477, 453, 18851, 5897, 22592, 6449, 8181, 9191, 1345, 267, 1871, 284, 272, 267, 2165, 284, 272, 8029, 453, 19677, 27841, 815, 1871, 1477 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3515, 3444, 519, 3113, 693, 1034, 2899, 269, 8347, 519, 1863, 4569, 3118, 9498, 543, 1966, 24626, 2630, 547, 2560, 1635, 9236, 891, 1079, 11708, 267, 649, 666, 1294, 602, 519, 8880, 1899, 1449, 1568, 1360, 1134, 607, 606, 2653, 1449, 547, 1294, 952, 513, 1599, 568, 835, 3562, 14633, 610, 711, 269, 1284, 1985, 2015, 3252, 799, 2671, 1312, 540, 891, 4412, 268, 1068, 625, 269, 2290, 3562, 268, 3080, 9577, 269, 3767, 952, 594, 4941, 547, 1118, 713, 513, 1147, 11187, 543, 606, 7630, 633, 1599, 267, 594, 1131, 18419, 602, 11837, 543, 594, 1131, 1689, 535, 540, 476, 276, 547, 581, 552, 269, 3767, 3388, 568, 835, 3562, 14633, 269, 1284, 666, 1294, 602, 1256, 950, 1535, 476, 272, 568, 711, 3160, 547, 1535, 476, 273, 267, 621, 1869, 8120, 519, 1482, 1871, 585, 535, 3287, 1040, 1607, 2982, 602, 519, 1599, 535, 3287, 264, 815, 910, 276, 343, 476, 273, 1341, 476, 272, 568, 711, 513, 835, 547, 835, 1599, 907, 769, 1880, 267, 14322, 602, 782, 2034, 19195, 9864, 16755, 540, 535, 616, 6024, 593, 513, 29117, 540, 513, 2565, 1448, 1535, 267, 1287, 952, 519, 27744, 540, 519, 670, 612, 1014, 693, 1535, 616, 782, 2318, 267, 1287, 1535, 568, 513, 2199, 5934, 269, 9502, 281, 634, 1599, 568, 835, 3562, 14633, 952, 585, 1022, 1535, 272, 267, 1535, 273, 538, 519, 6389, 540, 535, 267, 1287, 535, 3287, 272, 264, 476, 382, 373, 535, 3287, 273, 1040, 2290, 547, 835, 3252, 281, 2290, 547, 835, 3252, 616, 1346, 3252, 538, 799, 1071, 26730, 664, 543, 2039, 616, 4010, 25528, 547, 835, 1776, 1775, 4318, 269, 769, 2091, 3252, 769, 2091, 12793, 1403, 535, 568, 513, 835, 3562, 14633, 1599, 609, 6389, 589, 543, 2039, 645, 267, 649, 666, 632, 683, 606, 11201, 1599, 535, 476, 272, 630, 5976, 6389, 645, 3738, 676, 519, 4341, 535, 476, 272, 12169, 264, 815, 1535, 952, 543, 1152, 952, 535, 3287, 264, 815, 586, 281, 901, 568, 513, 3280, 632, 562, 819, 540, 513, 1599, 267, 10502, 1317, 1142, 1871, 540, 586, 538, 519, 6389, 540, 535, 476, 272, 814, 4010, 835, 1535, 538, 589, 2404, 547, 621, 676, 519, 4341, 586, 815, 535, 3287, 1040, 634, 8880, 1899, 1449, 568, 513, 10375, 1505, 602, 666, 3313, 2436, 513, 2016, 1599, 814, 606, 11201, 267, 855, 811, 11932, 547, 1265, 856, 952, 519, 11201, 568, 849, 513, 1599, 907, 589, 1599, 602, 568, 711, 835, 3562, 14633, 936, 922, 3003, 6389, 949, 581, 835, 3562, 14633, 593, 851, 540, 922, 6389, 269, 634, 21222, 7267, 7412, 4530, 269, 11512, 875, 596, 666, 2995, 689, 922, 3113, 269, 2334, 568, 267, 519, 1482, 910, 7407, 568, 2760, 19610, 609, 1079, 1114, 268, 11161, 269, 1879, 1210, 519, 8880, 1899, 1449, 267, 581, 6297, 827, 922, 2953, 7664, 281, 1403, 596, 1265, 1256, 835, 8880, 1899, 602, 12969, 338, 519, 3113, 538, 811, 982, 835, 1448, 267, 1287, 519, 1599, 568, 711, 835, 3562, 14633, 269, 1656, 267, 1100, 586, 538, 519, 2039, 568, 519, 3239, 540, 811, 982, 835, 1535, 538, 519, 6389, 269, 21222, 7267, 7412, 4530, 269, 1403, 513, 1599, 10596, 519, 8880, 1899, 1449, 630, 7945, 607, 535, 3287, 6661, 332, 343, 17070, 267, 535, 3287, 6661, 1314, 476, 273, 1341, 321, 343, 25239, 630, 638, 7310, 1738, 1599, 264, 543, 535, 3287, 6661, 343, 476, 274, 1341, 320, 610, 535, 3287, 6661, 263, 343, 910, 320, 264, 476, 274, 264, 1287, 971, 1599, 568, 513, 835, 3562, 14633, 1599, 269, 3689, 3313, 952, 621, 781, 513, 1599, 547, 2253, 609, 267, 2899, 649, 917, 602, 649, 616, 2324, 609, 1599, 547, 3313, 952, 621, 781, 835, 547, 835, 269, 769, 824, 1913, 267, 1169, 3693, 540, 519, 1599, 781, 13798, 558, 664, 568, 519, 3239, 540, 693, 1034, 835, 3693, 540, 922, 6389, 269, 1403, 1022, 8880, 1899, 12969, 338, 519, 3113, 811, 982, 2899, 267, 1287, 519, 3113, 1281, 711, 2099, 513, 835, 3562, 14633, 1599, 269, 589, 835, 3562, 14633, 19359, 630, 528, 1979, 20287, 264, 689, 513, 1305, 2473, 547, 513, 1305, 962, 568, 513, 1599, 674, 2433, 2473, 9890, 962, 799, 568, 1312, 835, 3562, 14633, 543, 5196, 269, 5457, 602, 621, 568, 1360, 2009, 602, 513, 1599, 949, 723, 606, 11201, 855, 693, 519, 1482, 942, 267, 519, 11201, 568, 711, 513, 1599, 1317, 621, 3085, 1406, 1780, 519, 7299, 1899, 1449, 269, 8641, 519, 3830, 281, 901, 6207, 1871, 1599, 814, 586, 268, 11161, 602, 616, 19610, 609, 811, 982, 835, 1535, 17032, 267, 971, 607, 630, 275, 267, 476, 273, 264, 543, 630, 271, 267, 476, 273, 1040, 621, 781, 22548, 529, 950, 596, 1318, 1934, 269, 2290, 3562, 14633, 1599, 568, 849, 1572, 607, 7630, 633, 1599, 269, 1403, 513, 8880, 1899, 12969, 338, 519, 3113, 540, 519, 1599, 538, 811, 982, 835, 1747, 267, 519, 3252, 568, 10691, 835, 3562, 14633, 269, 2290, 3562, 268, 3080, 12793, 589, 1599, 535, 568, 476, 272, 910, 1729, 268, 476, 272, 952, 1100, 1079, 2609, 538, 519, 6389, 540, 535, 5330, 547, 519, 1482, 3693, 538, 519, 2039, 540, 535, 1547, 7151, 476, 278, 269, 2290, 268, 2414, 268, 3080, 12793, 543, 769, 2091, 12793, 269, 1422, 7445, 321, 1122, 532, 4981, 15478, 7711, 12528, 278, 4097, 280, 281, 8786, 267, 513, 1599, 666, 581, 1312, 835, 3562, 14633, 543, 5196, 269, 1280, 513, 9184, 983, 1599, 267, 5385, 519, 3403, 543, 3977, 9343, 547, 3489, 519, 11201, 269, 769, 6128, 267, 606, 7630, 633, 1599, 630, 10193, 1634, 607, 13297, 267, 610, 835, 3562, 14633, 1599, 264, 568, 513, 1599, 602, 7851, 3982, 2609, 540, 922, 6389, 547, 3982, 2609, 540, 922, 13798, 558, 664, 269, 6201, 540, 1483, 3734, 3871, 6719, 676, 835, 3562, 14633, 3252, 269, 901, 1599, 568, 711, 835, 3562, 14633, 269, 8074, 281, 586, 815, 535, 3287, 264, 568, 513, 1599, 952, 621, 10596, 519, 7299, 1899, 1449, 20193, 568, 513, 476, 272, 268, 272, 1599, 952, 621, 10596, 1312, 519, 7299, 1899, 1449, 543, 519, 8880, 1899, 1449, 269, 589, 3113, 540, 513, 1599, 666, 849, 581, 1031, 547, 3313, 2436, 513, 1599, 568, 835, 3562, 14633, 1210, 519, 8880, 1899, 1449, 281, 1403, 1142, 8880, 1899, 22613, 519, 3113, 540, 513, 1599, 693, 1100, 811, 982, 835, 1448, 267, 1287, 519, 1599, 568, 835, 3562, 14633, 269, 9747, 621, 568, 835, 547, 835, 1599, 269, 2290, 3562, 14633, 3252, 476, 273, 269, 4706, 3113, 568, 513, 29236, 267, 543, 1082, 8880, 3515, 2759, 519, 29236, 7466, 269, 2290, 3562, 268, 3080, 12793, 3487, 476, 272, 269, 1323, 2653, 1259, 547, 3313, 2436, 513, 1599, 568, 513, 835, 3562, 14633, 1599, 568, 547, 946, 519, 8880, 1899, 1449, 593, 519, 3113, 540, 519, 1599, 269, 589, 2656, 1449, 585, 513, 835, 3562, 14633, 1599, 568, 519, 8880, 1899, 1449, 269, 1280, 513, 1599, 547, 723, 606, 11201, 267, 621, 1590, 581, 835, 3562, 14633, 630, 10139, 519, 8880, 1899, 1449, 1040, 589, 1599, 585, 799, 1169, 3693, 540, 519, 2039, 540, 519, 1599, 14687, 547, 4010, 835, 3693, 540, 519, 6389, 269, 3080, 3562, 14633, 568, 1419, 2854, 476, 272, 268, 272, 269, 9717, 602, 513, 543, 536, 616, 711, 3160, 547, 476, 271, 267, 1397, 602, 782, 5276, 3252, 616, 835, 3562, 14633, 3252, 269, 630, 321, 264, 2986, 519, 1079, 11708, 596, 4963, 743, 539, 267, 799, 568, 835, 3562, 14633, 286, 1924, 585, 851, 589, 267, 519, 1599, 568, 476, 272, 547, 476, 272, 952, 1142, 3693, 814, 513, 2189, 3239, 269, 1452, 3309, 3252, 1611, 602, 513, 2582, 1449, 1281, 711, 2285, 2614, 1344, 547, 2708, 4628, 875, 519, 6797, 568, 8647, 282, 693, 2547, 2947, 1114, 6797, 1599, 4255, 616, 2838, 269, 1924, 713, 568, 1312, 5196, 543, 835, 3562, 14633, 269, 6423, 1547, 7151, 540, 2290, 547, 2290, 9577, 269, 2290, 3562, 14633, 1599, 25389, 1312, 7299, 1899, 1449, 607, 1134, 607, 8880, 1899, 1449, 269, 5999, 609, 10298, 7726, 476, 272, 1772, 1599, 535, 3989, 676, 3267, 589, 3113, 543, 519, 8880, 1899, 1449, 666, 948, 547, 2626, 519, 1657, 2243, 269, 2991, 2348, 8854, 998, 519, 8631, 2016, 1657, 267, 649, 4126, 602, 519, 1053, 1131, 723, 6956, 834, 1215, 547, 3313, 2436, 513, 1599, 568, 835, 547, 835, 610, 711, 834, 269, 22307, 4536, 476, 23713, 272, 3252, 585, 851, 645, 269, 2290, 3562, 14633, 12793, 901, 3381, 9727, 875, 547, 3313, 952, 513, 1599, 568, 835, 3562, 14633, 1210, 519, 8880, 1899, 1449, 269, 589, 1599, 568, 711, 835, 3562, 14633, 952, 1079, 1114, 2609, 538, 519, 6389, 5330, 547, 519, 1482, 3693, 538, 519, 2039, 269, 14581, 15048, 28171, 535, 3287, 264, 815, 1535, 317, 274, 1341, 476, 274, 28682, 568, 513, 835, 3562, 14633, 1599, 269, 901, 568, 1634, 607, 519, 7299, 1899, 1449, 269, 3973, 1152, 835, 1871, 538, 519, 6389, 666, 5330, 547, 835, 1871, 538, 519, 2039, 269, 26432, 1899, 1449, 267, 21222, 7267, 1899, 1449, 267, 2290, 3562, 14633, 1599, 269, 875, 547, 2697, 513, 476, 272, 547, 476, 272, 1599, 267, 543, 946, 519, 8880, 1899, 1449, 269, 3252, 269, 1546, 16667, 333, 819, 476, 274, 269, 272, 269, 21222, 7267, 1899, 1449, 269, 7151, 476, 278, 269, 589, 1599, 535, 814, 606, 11201, 1599, 267, 535, 910, 272, 267, 952, 543, 1152, 952, 535, 568, 835, 3562, 14633, 269, 1548, 568, 513, 835, 3562, 14633, 1599, 286, 5457, 602, 513, 21718, 568, 513, 1305, 540, 10288, 8424, 2016, 1022, 1535, 267, 972, 568, 1152, 835, 586, 602, 666, 581, 19610, 609, 602, 1535, 269, 28977, 602, 1780, 519, 7299, 1899, 1449, 616, 11708, 540, 3252, 269, 769, 513, 835, 3562, 14633, 1599, 267, 2016, 1022, 586, 972, 568, 1152, 835, 1535, 602, 666, 581, 19610, 609, 519, 2016, 586, 269, 972, 616, 1100, 1079, 2418, 723, 519, 1482, 11201, 269, 1284, 1289, 713, 513, 1979, 20287, 282, 513, 16681, 2012, 585, 606, 538, 3200, 1043, 1599, 269, 476, 274, 269, 634, 3801, 693, 513, 3070, 5681, 540, 835, 3562, 14633, 3252, 568, 513, 835, 3562, 14633, 1599, 630, 296, 1589, 7933, 2632, 917, 875, 547, 6961, 1040, 769, 824, 1913, 267, 1142, 1535, 538, 519, 6389, 814, 4010, 835, 3239, 538, 519, 2039, 269, 5990, 670, 3036, 22003, 2177, 307, 3201, 700, 12114, 570, 12239, 1403, 1022, 2016, 8880, 1899, 10596, 998, 519, 3113, 540, 513, 1599, 693, 1034, 835, 942, 267, 1287, 602, 1599, 568, 835, 3562, 14633, 269, 1284, 786, 946, 713, 15333, 27168, 540, 519, 4214, 540, 835, 547, 835, 3252, 547, 1265, 856, 2436, 513, 2016, 1599, 568, 513, 835, 547, 835, 269, 7151, 281, 1411, 666, 849, 3533, 2995, 952, 513, 1599, 568, 835, 547, 835, 676, 7421, 621, 781, 3113, 609, 513, 2241, 8880, 11060, 1449, 269, 3267, 8641, 1227, 267, 649, 666, 3313, 952, 513, 1599, 568, 8096, 272, 268, 272, 15478, 676, 1210, 519, 21222, 7267, 7412, 4530, 267, 799, 2829, 281, 589, 3113, 4564, 513, 8096, 272, 268, 272, 15478, 1599, 952, 543, 1152, 952, 1169, 8880, 1899, 12969, 338, 602, 3113, 693, 1034, 2899, 269, 634, 8880, 1899, 1449, 568, 849, 2653, 547, 4019, 269, 476, 274, 269, 634, 1599, 535, 3287, 6661, 343, 476, 273, 568, 711, 835, 3562, 14633, 1317, 535, 263, 273, 264, 815, 535, 8987, 273, 1040, 901, 1449, 1568, 1317, 8880, 3515, 2099, 3586, 586, 268, 11161, 282, 8754, 267, 952, 513, 8880, 1899, 476, 273, 269, 589, 1599, 568, 835, 3562, 14633, 952, 543, 1152, 952, 1169, 8880, 1899, 12969, 338, 519, 3113, 540, 519, 1599, 538, 693, 1034, 835, 1448, 269, 1924, 2094, 972, 616, 2947, 2609, 538, 519, 6389, 543, 2185, 2609, 538, 519, 2039, 267, 621, 781, 711, 2009, 585, 519, 1599, 547, 581, 835, 23179, 269, 2983, 6248, 4530, 21222, 7267, 7412, 4530, 3040, 1403, 930, 8880, 1899, 12969, 338, 519, 3113, 540, 519, 1599, 811, 982, 2899, 267, 1287, 519, 1599, 568, 711, 835, 3562, 14633, 269, 2290, 3562, 268, 3080, 4856, 22046, 775, 1284, 723, 2808, 3252, 799, 616, 835, 3562, 14633, 543, 3252, 799, 616, 5196, 269, 901, 1797, 602, 2016, 1022, 1535, 267, 972, 568, 1152, 835, 586, 602, 666, 581, 19610, 609, 602, 1535, 269, 1924, 267, 519, 30775, 2389, 542, 538, 7612, 476, 278, 568, 711, 835, 3562, 14633, 1317, 1079, 1114, 2609, 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 ]
[ 1070, 519, 7552, 1152, 3217, 476, 275, 269, 276, 3108, 269, 5590, 909, 543, 4194, 513, 1062, 540, 2560, 692, 5415, 5381, 5999, 0, 291, 14110, 7991, 692, 297, 303, 4165, 17480, 692, 16829, 593, 3040, 21213, 593, 692, 9199, 6137, 24467, 1862, 547, 7038, 519, 3214, 692, 16352, 1079, 5863, 569, 6505, 1453, 568, 1250, 6574, 26460, 267, 543, 713, 27579, 568, 4758, 803, 519, 4316, 547, 1397, 873, 519, 1826, 540, 960, 594, 798, 267, 799, 7959, 2731, 8799, 32473, 2020, 1607, 3018, 519, 1888, 540, 8840, 1524, 513, 1966, 883, 4130, 543, 12863, 4247, 3357, 909, 267, 543, 609, 519, 948, 540, 930, 26633, 267, 11680, 543, 513, 1396, 516, 540, 1216, 267, 594, 7307, 547, 1205, 721, 782, 5671, 6137, 6632, 543, 4440, 8297, 1441, 519, 2713, 4055, 6989, 269, 570, 612, 267, 593, 519, 824, 1688, 267, 1500, 513, 1360, 4277, 8343, 827, 875, 519, 4130, 11680, 1131, 1205, 4904, 1101, 607, 519, 2179, 540, 1216, 538, 519, 12826, 6659, 547, 3382, 873, 780, 763, 1482, 1883, 5813, 666, 581, 1031, 547, 10994, 519, 29212, 4764, 1216, 1966, 593, 2274, 564, 13892, 269, 1284, 991, 547, 1265, 938, 834, 322, 5725, 257, 543, 5173, 875, 1454, 1216, 789, 666, 3180, 2016, 519, 1216, 1377, 540, 519, 834, 11312, 331, 257, 3294, 780, 18606, 10818, 3070, 10490, 264, 13634, 604, 630, 288, 32324, 2999, 476, 273, 264, 2132, 476, 271, 16963, 6247, 2040, 1103, 23059, 8624, 338, 815, 630, 1551, 267, 554, 267, 575, 267, 1376, 267, 1439, 264, 18092, 13634, 2280, 2040, 815, 476, 271, 3248, 1721, 630, 2280, 1775, 815, 1376, 1341, 476, 272, 282, 1775, 2999, 1439, 282, 1775, 10030, 264, 2040, 6834, 2855, 5157, 30092, 8873, 554, 2608, 575, 910, 2040, 3248, 8679, 6247, 1265, 9202, 8624, 815, 630, 1551, 267, 897, 296, 11459, 267, 897, 11749, 264, 18092, 13634, 2280, 3193, 815, 476, 271, 3248, 1721, 630, 2280, 1775, 815, 897, 296, 11459, 1341, 476, 272, 282, 1775, 2999, 2855, 32324, 282, 1775, 10030, 264, 13634, 604, 630, 1551, 5157, 316, 13843, 897, 11749, 264, 13634, 8873, 1775, 282, 12262, 8873, 519, 1985, 6241, 693, 2547, 607, 1164, 607, 589, 5157, 2639, 348, 3116, 13634, 10946, 815, 4569, 27982, 32384, 267, 2855, 5157, 316, 5148, 12262, 10177, 1188, 519, 5207, 6967, 6241, 454, 8679, 8679, 2260, 8873, 4994, 540, 476, 3193, 952, 1336, 267, 6382, 897, 296, 11459, 607, 2063, 18992, 454, 8873, 4569, 27982, 19906, 28827, 8170, 32384, 267, 897, 296, 11459, 1070, 897, 296, 11459, 11850, 8679, 6247, 9498, 815, 630, 1551, 264, 18092, 13634, 2280, 986, 785, 28979, 815, 476, 271, 3248, 2280, 7934, 815, 476, 271, 3248, 2280, 4463, 815, 476, 271, 3248, 2280, 1985, 8624, 815, 476, 271, 3248, 1721, 630, 2280, 1775, 815, 476, 271, 282, 1775, 2999, 2855, 32324, 282, 1775, 10030, 264, 13634, 604, 630, 1551, 5157, 316, 3436, 476, 271, 264, 13634, 10113, 8624, 815, 1265, 9202, 8624, 19906, 267, 1775, 267, 2855, 5157, 8079, 3248, 604, 630, 10113, 8624, 8206, 2525, 1775, 264, 13634, 326, 777, 815, 1985, 8624, 910, 1775, 910, 476, 272, 3248, 19417, 815, 4569, 269, 2381, 19906, 5157, 3910, 2855, 314, 10113, 8624, 8079, 3248, 571, 785, 28979, 6834, 2040, 1103, 23059, 8624, 338, 19906, 267, 4463, 267, 7934, 267, 1775, 267, 1985, 8624, 11850, 328, 815, 1985, 8624, 910, 476, 272, 3248, 8679, 8679, 8679, 8873, 986, 785, 28979, 3248, 8679, 8873, 9498, 10490, 11850, 8679, 32526, 5445, 4769, 1405, 2307, 803, 827, 519, 678, 29025, 6988, 540, 519, 5690, 855, 594, 5143, 873, 19037, 269, 898, 781, 744, 263, 272, 264, 2230, 543, 744, 3799, 264, 942, 543, 621, 10443, 538, 476, 6321, 916, 609, 476, 4097, 269, 280, 11586, 540, 3965, 865, 621, 729, 1732, 982, 1018, 476, 11011, 269, 4343, 260, 540, 519, 824, 3214, 3357, 909, 609, 269, 3502, 3983, 585, 513, 476, 278, 1032, 2025, 256, 0, 273, 3108, 3516, 661, 6369, 2259, 543, 6044, 585, 476, 278, 628, 3446, 267, 8720, 2542, 8223, 543, 6863, 269, 1325, 11220, 547, 5871, 11759, 3557, 11621, 585, 7335, 281, 9085, 282, 7335, 281, 22252, 1049, 7956, 282, 543, 18500, 21733, 9974, 543, 2422, 780, 279, 3108, 3516, 6258, 585, 1863, 827, 2979, 267, 1148, 267, 2780, 5752, 267, 9297, 267, 6323, 267, 7998, 267, 7350, 267, 4915, 267, 8804, 267, 1686, 267, 543, 811, 269, 16679, 9142, 568, 513, 18758, 609, 519, 5692, 540, 3246, 513, 1863, 267, 1158, 11665, 2069, 585, 2560, 692, 275, 3108, 3516, 692, 272, 269, 20134, 2338, 281, 1840, 543, 12408, 269, 2271, 549, 547, 4946, 2942, 2338, 281, 20134, 2338, 281, 1840, 543, 12408, 2271, 549, 547, 18946, 2942, 2338, 281, 20134, 2338, 281, 1840, 543, 12408, 17006, 1299, 18946, 609, 2258, 2510, 593, 519, 1297, 1899, 281, 20134, 2338, 281, 1840, 543, 12408, 17006, 1299, 18946, 9981, 281, 20134, 2338, 281, 1840, 543, 12408, 563, 273, 269, 20134, 2338, 281, 8691, 543, 6498, 269, 25092, 1299, 7941, 2942, 2338, 281, 20134, 2338, 281, 8691, 543, 6498, 18527, 1299, 6498, 2262, 2042, 609, 2258, 2510, 281, 20134, 2338, 281, 8691, 543, 6498, 4197, 14921, 543, 12270, 8454, 281, 20134, 2338, 281, 8691, 543, 6498, 563, 274, 269, 17773, 267, 17447, 267, 1299, 21159, 269, 20593, 1154, 8454, 547, 17447, 281, 17773, 267, 17447, 267, 1299, 21159, 17006, 1299, 18946, 7787, 2338, 281, 17773, 267, 17447, 267, 1299, 21159, 20587, 2262, 2042, 281, 17773, 267, 17447, 267, 1299, 21159, 563, 275, 269, 26162, 1299, 14354, 3347, 269, 15580, 2042, 609, 8454, 281, 26162, 1299, 14354, 3347, 19693, 540, 8167, 1275, 281, 26162, 1299, 14354, 3347, 14424, 543, 4612, 21635, 540, 8167, 1275, 2433, 26162, 1299, 14354, 3347, 563, 276, 269, 25285, 267, 4834, 267, 1299, 16526, 269, 26157, 899, 2474, 281, 25285, 267, 4834, 267, 1299, 16526, 634, 2733, 5737, 3959, 1299, 6697, 7215, 281, 25285, 267, 4834, 267, 1299, 16526, 3955, 31147, 5276, 7215, 281, 25285, 267, 4834, 267, 1299, 16526, 5565, 9912, 4834, 25644, 281, 25285, 267, 4834, 267, 1299, 16526, 563, 277, 269, 16387, 269, 9351, 543, 18592, 540, 10580, 281, 16387, 9351, 543, 18592, 4161, 2042, 281, 16387, 26432, 267, 14911, 267, 543, 24045, 7285, 281, 16387, 31932, 5086, 2042, 281, 16387, 563, 278, 269, 10803, 543, 5506, 269, 9978, 5506, 281, 10803, 543, 5506, 17438, 3631, 281, 10803, 543, 5506, 3281, 895, 2621, 543, 3732, 5624, 281, 10803, 543, 5506, 780, 32051, 281, 16679, 30028, 7005, 1893, 6575, 692, 274, 3108, 3516, 13281, 3435, 547, 16526, 269, 630, 28926, 839, 513, 1110, 531, 264, 2290, 9912, 16526, 1806, 269, 630, 28926, 839, 513, 1110, 531, 264, 2290, 9912, 16526, 281, 910, 276, 322, 18016, 476, 1428, 269, 630, 28926, 839, 513, 1110, 531, 264, 2290, 9912, 8635, 2262, 1966, 269, 630, 28926, 839, 513, 1110, 531, 264, 2290, 9912, 16526, 2689, 780, 32051, 281, 16679, 30028, 7005, 1565, 3992, 692, 9617, 3767, 16679, 9142, 21153, 8017, 476, 278, 628, 6103, 6030, 267, 4855, 543, 6443, 2929, 540, 1863, 2228, 6030, 998, 13056, 336, 4211, 6847, 269, 4467, 692, 272, 3108, 3516, 661, 6369, 2259, 5751, 630, 15883, 264, 585, 476, 273, 526, 547, 476, 280, 628, 3446, 267, 8720, 2542, 8223, 543, 6863, 269, 1325, 11220, 547, 5871, 11759, 3557, 11621, 585, 7335, 281, 9085, 282, 7335, 281, 22252, 1049, 7956, 267, 543, 18500, 21733, 9974, 543, 2422, 780, 277, 3108, 3516, 5192, 4712, 585, 476, 278, 628, 3446, 2979, 256, 6258, 519, 1983, 602, 786, 1305, 596, 909, 585, 1967, 538, 2942, 1297, 4238, 282, 8454, 267, 17447, 267, 543, 21159, 282, 3928, 543, 14354, 3347, 282, 7215, 267, 4834, 267, 543, 16526, 282, 9511, 282, 543, 7194, 543, 5506, 780, 277, 3108, 3516, 18049, 269, 8551, 543, 23408, 269, 18049, 269, 589, 5618, 4367, 547, 8239, 269, 13772, 606, 4367, 3381, 476, 273, 281, 5379, 476, 273, 3764, 476, 5379, 7643, 269, 18049, 568, 519, 4015, 540, 3652, 543, 14908, 602, 1118, 4654, 979, 269, 901, 3296, 568, 827, 9208, 1977, 2296, 267, 855, 972, 781, 1945, 1934, 585, 3025, 269, 3399, 1565, 780, 279, 3108, 3516, 6092, 13517, 269, 16679, 9142, 12896, 332, 4115, 6424, 28039, 13318, 668, 7143, 3699, 596, 547, 1010, 5172, 1888, 281, 519, 1353, 540, 1893, 267, 922, 3652, 267, 543, 922, 14908, 269, 1635, 1620, 2296, 1107, 676, 6340, 621, 267, 676, 1603, 621, 267, 676, 2542, 713, 1360, 4845, 1107, 596, 616, 513, 6121, 332, 4115, 3054, 256, 476, 272, 269, 476, 273, 780, 32051, 281, 2296, 20043, 692, 9617, 3767, 6226, 883, 938, 5399, 540, 476, 278, 628, 3446, 6030, 269, 4855, 1187, 543, 2502, 3381, 4245, 593, 1158, 1686, 267, 1272, 2257, 267, 2168, 2257, 543, 1454, 811, 269, 3776, 4274, 16929, 1118, 1256, 519, 1034, 2352, 692, 32051, 281, 6732, 20043, 692, 273, 3108, 3516, 16679, 9142, 814, 1582, 19550, 267, 7317, 1543, 734, 1410, 2075, 2478, 267, 7044, 543, 4930, 734, 1721, 1053, 538, 1169, 3446, 543, 538, 1034, 2101, 1641, 2127, 269, 898, 568, 782, 1863, 543, 1875, 10687, 14293, 543, 568, 1500, 2009, 676, 24960, 545, 1489, 689, 1004, 899, 596, 269, 6423, 938, 5901, 15526, 4804, 4199, 2985, 585, 811, 1344, 593, 3478, 3323, 609, 16679, 9142, 780, 32051, 281, 5131, 20043, 692, 277, 3108, 3516, 16679, 9142, 5131, 6732, 20043, 267, 16497, 1299, 6657, 6258, 585, 1863, 827, 2979, 267, 1148, 267, 2780, 5752, 267, 9297, 267, 6323, 267, 7998, 267, 7350, 267, 4915, 267, 8804, 267, 1686, 267, 543, 811, 269, 16679, 9142, 568, 513, 18758, 609, 519, 5692, 540, 3246, 513, 1863, 267, 1158, 11665, 2069, 585, 4896, 267, 9170, 780, 32051, 281, 6732, 20043, 692, 272, 3108, 3516, 16679, 9142, 2979, 2259, 269, 722, 491, 3776, 1007, 5192, 4712, 585, 3446, 1377, 6030, 616, 3501, 585, 519, 1376, 540, 513, 1007, 1153, 1032, 609, 741, 1445, 593, 519, 1898, 2979, 1983, 596, 786, 991, 585, 707, 14232, 1153, 1032, 269, 722, 491, 4495, 596, 723, 27058, 519, 15775, 4712, 1576, 267, 596, 666, 1847, 593, 547, 707, 3446, 1377, 1576, 269, 8347, 547, 1305, 513, 3804, 540, 1377, 532, 909, 693, 692, 32051, 281, 5131, 20043, 692, 273, 3108, 3516, 5345, 534, 11066, 269, 1284, 798, 711, 723, 4867, 723, 2626, 10569, 2139, 585, 519, 2259, 2042, 269, 1717, 267, 1247, 519, 1053, 616, 3257, 519, 2259, 2042, 267, 789, 666, 946, 519, 670, 842, 4183, 585, 14406, 2055, 547, 2070, 513, 1900, 8386, 9912, 3070, 547, 519, 1966, 269, 3958, 267, 952, 596, 3651, 1808, 1543, 547, 707, 1053, 267, 596, 666, 2070, 519, 2055, 630, 663, 692, 32051, 281, 5131, 20043, 692, 273, 3108, 3516, 16679, 9142, 568, 835, 540, 519, 1034, 1031, 2979, 4609, 538, 519, 1158, 267, 585, 1434, 2601, 269, 8866, 666, 1451, 827, 2979, 267, 2257, 543, 2029, 630, 15200, 811, 264, 689, 2038, 10026, 2157, 547, 519, 2852, 1377, 543, 3564, 269, 968, 15447, 1578, 7851, 892, 1577, 596, 3362, 3950, 707, 1126, 779, 3356, 269, 3371, 779, 875, 835, 32059, 2385, 3096, 16679, 9142, 585, 1200, 476, 278, 628, 1178, 1457, 780, 32051, 281, 5131, 20043, 692, 276, 3108, 3516, 3776, 5985, 813, 267, 16679, 9142, 8866, 267, 568, 2141, 2139, 607, 513, 1863, 1565, 4199, 269, 4913, 267, 649, 8275, 602, 1082, 3845, 1565, 3681, 2154, 513, 3926, 267, 543, 649, 917, 621, 779, 1271, 547, 3970, 5496, 942, 269, 1452, 1863, 7792, 2238, 2709, 606, 1055, 1606, 10547, 1565, 4781, 585, 3885, 547, 2972, 269, 25873, 998, 519, 3681, 2630, 547, 1265, 1187, 267, 7317, 2560, 692, 32051, 281, 898, 20043, 692, 280, 3108, 3516, 4804, 693, 16679, 9142, 568, 2141, 1863, 256, 2353, 540, 16679, 9142, 779, 5399, 540, 11967, 267, 4441, 268, 7955, 539, 7044, 267, 4930, 267, 2259, 2055, 267, 543, 4245, 616, 4625, 1863, 585, 4896, 945, 6499, 547, 946, 873, 269, 1284, 798, 711, 2154, 11731, 267, 723, 1100, 28417, 267, 543, 1100, 18537, 269, 5502, 267, 519, 3919, 568, 6462, 676, 519, 28908, 540, 2043, 543, 14828, 780, 32051, 281, 898, 20043, 0, 258, 20145, 692, 15253, 1393, 674, 262, 8987, 275, 264, 1141, 674, 3287, 264, 815, 1535, 317, 274, 1341, 2473, 317, 273, 630, 6748, 519, 4214, 540, 519, 12045, 2020, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 274, 269, 26461, 479, 476, 10436, 454, 272, 269, 674, 262, 8987, 275, 2020, 284, 1929, 22607, 15010 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3698, 18062, 20311, 10031, 825, 5727, 16485, 519, 3593, 875, 1082, 18062, 547, 5066, 780, 825, 16849, 912, 1038, 1496, 842, 13912, 1496, 4958, 5281, 519, 1297, 540, 18062, 547, 5066, 2639, 825, 29185, 825, 1297, 815, 703, 9272, 19629, 333, 1692, 1082, 18062, 1131, 596, 899, 547, 5066, 2433, 27328, 825, 2132, 1297, 7531, 3698, 5066, 5091, 823, 4433, 1938, 267, 1297, 2187, 825, 5727, 8245, 3634, 12902, 519, 18062, 692, 825, 1488, 7714, 912, 1038, 5011, 630, 314, 842, 316, 2567, 1496, 23100, 338, 519, 5011, 540, 519, 18062, 2639, 1038, 1297, 630, 314, 842, 316, 2567, 1496, 23100, 338, 519, 1297, 540, 18062, 547, 5066, 6540, 825, 16849, 912, 1038, 1496, 4289, 13912, 1496, 4958, 5281, 519, 1592, 540, 4351, 2418, 689, 519, 18062, 2639, 825, 29185, 825, 18062, 815, 11713, 825, 1820, 6600, 257, 315, 333, 2791, 18202, 2715, 15893, 348, 2715, 338, 1938, 348, 521, 3660, 18062, 23528, 825, 1820, 19629, 333, 5541, 907, 24342, 616, 607, 4553, 5541, 907, 5602, 825, 585, 1775, 538, 2039, 28840, 2187, 1038, 1871, 815, 4351, 27110, 263, 272, 267, 5011, 994, 1038, 1820, 6600, 257, 315, 339, 29146, 346, 7407, 348, 5602, 1038, 18062, 6910, 263, 7407, 994, 825, 2132, 18062, 7531, 3698, 2040, 5091, 823, 5560, 823, 2187, 825, 5727, 11754, 782, 2418, 540, 18062, 538, 513, 1592, 692, 825, 1488, 7714, 912, 1038, 18062, 630, 314, 4289, 316, 2567, 1496, 23100, 338, 519, 1592, 540, 2418, 689, 18062, 2639, 825, 29185, 825, 2698, 815, 476, 271, 454, 825, 585, 5884, 538, 18062, 912, 1038, 2698, 6834, 5884, 454, 825, 1820, 6600, 10454, 2698, 1871, 540, 707, 5066, 568, 2715, 20135, 348, 1701, 9239, 3698, 5066, 318, 28785, 10031, 825, 5727, 16485, 519, 3593, 547, 5066, 1586, 692, 825, 16849, 912, 1038, 1496, 321, 944, 13912, 1496, 4958, 5281, 519, 3903, 540, 519, 3593, 2639, 825, 8173, 825, 3903, 815, 3403, 19629, 333, 25898, 596, 899, 547, 5066, 1586, 630, 344, 14672, 264, 2433, 19515, 825, 952, 3903, 11203, 834, 344, 13426, 1038, 5066, 815, 8771, 454, 825, 3116, 912, 1038, 5066, 815, 6936, 454, 825, 2132, 5066, 7531, 2745, 2891, 8702, 547, 634, 5124, 667, 823, 2561, 15419, 13764, 815, 6936, 692, 6112, 12902, 912, 825, 546, 5334, 1938, 815, 18062, 5334, 1938, 4590, 825, 546, 20311, 815, 18062, 20311, 10797, 825, 1250, 5091, 823, 815, 5066, 5091, 823, 5560, 5334, 1938, 267, 546, 20311, 994, 825, 2040, 5091, 823, 30044, 5091, 823, 2020, 825, 12902, 815, 5066, 318, 28785, 10797, 2745, 19629, 333, 14188, 596, 585, 1210, 519, 5124, 667, 823, 2561, 23528 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 534, 1695, 8643, 267, 4171, 5169, 1185, 1044, 4503, 543, 4171, 2495, 814, 1044, 16618, 269, 0, 13233, 2353, 1772, 744, 2720, 4303, 476, 1001, 276, 454, 2691, 649, 1589, 540, 519, 3003, 1158, 602, 27788, 721, 267, 649, 1058, 849, 5660, 1018, 649, 723, 2864, 602, 1018, 649, 798, 711, 543, 568, 3622, 856, 540, 938, 3914, 269, 901, 568, 1018, 2353, 568, 744, 2720, 4303, 568, 827, 269, 901, 568, 513, 1554, 799, 556, 329, 7860, 538, 519, 1249, 602, 519, 1158, 568, 2407, 540, 1919, 799, 4866, 547, 782, 540, 721, 538, 519, 1158, 269, 2817, 2353, 568, 744, 2720, 4303, 568, 9976, 593, 519, 476, 279, 628, 540, 4989, 1169, 1032, 563, 3519, 1061, 540, 2817, 2353, 568, 744, 2720, 4303, 454, 2467, 616, 1079, 3344, 547, 713, 1554, 269, 634, 1101, 2460, 568, 547, 5031, 782, 519, 8748, 1919, 538, 519, 1158, 269, 1284, 1058, 1831, 811, 3222, 540, 938, 10450, 543, 1018, 6818, 538, 873, 269, 634, 824, 2460, 735, 1564, 1004, 547, 2965, 2015, 602, 513, 2603, 540, 891, 1919, 4866, 547, 3025, 543, 865, 789, 666, 2965, 581, 3838, 609, 782, 269, 901, 568, 1141, 519, 968, 718, 892, 2501, 538, 563, 8002, 8481, 593, 2353, 568, 744, 2720, 4303, 454, 763, 1101, 3364, 547, 798, 593, 713, 1554, 568, 547, 6108, 942, 3168, 1472, 543, 711, 6005, 875, 1082, 8748, 1919, 2291, 799, 666, 581, 3838, 609, 782, 540, 721, 269, 1280, 1383, 267, 519, 32709, 540, 513, 8768, 666, 581, 3838, 609, 2576, 676, 8744, 547, 741, 5469, 1018, 513, 4190, 3364, 6818, 543, 621, 568, 2139, 547, 782, 563, 4537, 2130, 568, 519, 1292, 2534, 540, 713, 1554, 267, 865, 1491, 942, 856, 547, 2671, 1945, 2027, 609, 1776, 563, 13233, 782, 568, 744, 2720, 1554, 568, 849, 513, 1554, 540, 26126, 269, 1403, 649, 1413, 1472, 267, 649, 786, 8275, 875, 1454, 649, 2965, 723, 547, 581, 18507, 585, 543, 649, 1058, 2832, 547, 581, 1543, 539, 676, 1018, 649, 723, 267, 2864, 982, 2141, 1032, 940, 585, 1018, 649, 798, 711, 563, 18128, 757, 538, 4989, 454, 268, 6153, 11016, 476, 1001, 276, 454, 268, 3427, 20157, 4115, 4303, 476, 1001, 276, 454, 268, 2817, 15681, 589, 17389, 4303, 476, 1001, 276, 454, 268, 2817, 12532, 547, 4518, 4303, 476, 736, 2483, 268, 2817, 595, 20423, 28563, 340, 4303, 476, 1001, 2483, 268, 3367, 513, 10003, 10934, 4303, 476, 1001, 276, 454, 268, 14914, 476, 1001, 276, 454, 268, 2817, 590, 13446, 24898, 4303, 476, 273, 2483, 268, 2817, 2961, 14712, 7377, 25468, 4303, 2483, 268, 2817, 3143, 5600, 1740, 4303, 476, 736, 2483, 268, 8571, 513, 16514, 540, 513, 16819, 4303, 2483, 268, 2817, 22216, 880, 606, 4165, 1664, 4429, 268, 12736, 8725, 26235, 4303, 476, 1001, 276, 454, 268, 2817, 15850, 30587, 667, 2483, 268, 2817, 590, 15269, 4303, 476, 1001, 276, 454, 268, 2817, 4258, 3150, 674, 517, 16746, 4303, 476, 273, 2483, 268, 20640, 25397, 570, 1901, 4303, 476, 1001, 276, 454, 268, 6739, 15328, 3000, 2246, 4303, 476, 1001, 276, 454, 268, 8262, 6489, 4303, 476, 1001, 276, 454, 268, 2480, 4599, 1076, 4303, 476, 1001, 276, 454, 268, 2817, 3212, 778, 29154, 321, 2401, 4303, 476, 273, 2483, 268, 6733, 5455, 2311, 519, 21708, 4303, 476, 1001, 276, 454, 268, 2817, 623, 1815, 534, 4303, 476, 1001, 276, 454, 268, 16680, 15188, 4303, 476, 1001, 276, 454, 268, 24686, 1824, 4303, 476, 1001, 276, 454, 268, 15206, 4303, 476, 1001, 276, 454, 268, 14199, 4303, 476, 1001, 276, 454, 268, 2817, 20266, 5371, 4303, 476, 1001, 276, 454, 268, 853, 31869, 2471, 4303, 476, 1001, 276, 454, 268, 1488, 4011, 4303, 476, 1001, 276, 454, 268, 1323, 345, 659, 4303, 476, 1001, 276, 454, 268, 18018, 606, 8241, 4303, 476, 1001, 276, 454, 268, 2817, 6762, 614, 17361, 4303, 476, 273, 2483, 268, 2817, 15681, 589, 9452, 4303, 476, 736, 2483, 268, 5651, 572, 8943, 4303, 476, 1001, 276, 454, 268, 10699, 1834, 4303, 476, 1001, 276, 454, 268, 2098, 23124, 4303, 476, 1001, 276, 454, 268, 2817, 12968, 17965, 4303, 476, 1001, 276, 454, 268, 12794, 1009, 1803, 2561, 21090, 4303, 476, 273, 2483, 268, 476, 2767, 12552, 15130, 4303, 476, 1001, 275, 454, 268, 476, 2767, 12552, 15130, 4303, 538, 5245, 454, 268, 476, 2764, 14937, 11016, 476, 1001, 275, 454, 268, 476, 2764, 24246, 23875, 4303, 476, 1001, 275, 454, 268, 476, 1789, 1805, 12448, 338, 4303, 476, 1001, 275, 454, 268, 476, 1789, 22512, 3464, 7126, 4303, 476, 1001, 275, 0, 8314, 720, 585, 8581, 454, 1862, 520, 713, 1016, 867, 1588, 1185, 6738, 18481, 547, 5512, 519, 9976, 5856, 22189, 27997, 547, 627, 760, 909, 513, 7088, 540, 13889, 538, 513, 3126, 540, 30732, 7410, 936, 519, 26035, 540, 968, 24841, 779, 3368, 335, 775, 1848, 5261, 8381, 267, 606, 2296, 10672, 267, 1185, 1044, 17101, 547, 20511, 11113, 585, 8581, 282, 519, 856, 322, 787, 1996, 713, 16957, 14226, 676, 519, 17062, 5137, 540, 513, 26771, 2968, 865, 10795, 602, 621, 2483, 8882, 26475, 593, 11777, 720, 454, 1103, 476, 15094, 274, 972, 729, 909, 549, 541, 538, 8581, 936, 519, 26771, 11292, 547, 519, 2296, 16724, 5261, 8381, 547, 20511, 513, 3181, 1078, 9721, 11777, 720, 267, 3541, 529, 528, 1176, 17941, 968, 24841, 779, 3368, 335, 775, 1848, 7201, 2604, 689, 267, 1851, 1866, 267, 22189, 27997, 267, 519, 30237, 626, 267, 4171, 968, 291, 1905, 1512, 779, 16707, 892, 9663, 13124, 16091, 1864, 267, 8381, 2847, 12097, 1010, 14664, 538, 476, 15094, 276, 454, 1862, 514, 476, 12739, 279, 9783, 17646, 2484, 628, 902, 12946, 519, 3239, 540, 6276, 4083, 593, 7504, 3724, 543, 519, 8049, 21000, 1588, 540, 476, 272, 270, 2190, 540, 513, 5053, 1483, 269, 634, 28266, 1977, 320, 4773, 267, 13351, 676, 5261, 8381, 540, 26728, 591, 5069, 17980, 896, 10424, 14664, 18584, 5147, 476, 1321, 267, 476, 15094, 273, 267, 4607, 513, 14922, 5944, 1507, 10009, 538, 1715, 3840, 543, 1715, 4789, 269, 6271, 11777, 720, 676, 8381, 538, 476, 15094, 273, 1700, 2190, 267, 5497, 585, 1862 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 789, 1185, 1500, 780, 2005, 568, 711, 5018, 2436, 972, 941, 1906, 3681, 2139, 547, 873, 780, 3383, 267, 875, 589, 568, 519, 2626, 2496, 12585, 1058, 581, 667, 267, 2094, 4986, 827, 519, 7287, 538, 519, 2250, 568, 5018, 780, 309, 573, 5984, 1767, 281, 5231, 476, 1015, 1296, 3516, 454, 296, 2698, 344, 979, 609, 4781, 1412, 291, 262, 780, 5445, 723, 711, 2446, 4376, 899, 4781, 538, 519, 3948, 269, 1703, 949, 581, 824, 4128, 849, 780, 4504, 5878, 1767, 281, 5231, 476, 280, 1296, 3516, 454, 291, 568, 1250, 3903, 267, 3932, 476, 272, 568, 1932, 1808, 543, 856, 540, 7406, 2439, 289, 8667, 1767, 281, 5231, 476, 280, 1296, 3516, 454, 291, 568, 519, 1152, 9266, 3932, 269, 5808, 1197, 1500, 713, 568, 513, 2608, 2041, 788, 29688, 1703, 781, 4986, 3330, 519, 3948, 602, 538, 19037, 1223, 2303, 1004, 1185, 1447, 5079, 780, 298, 761, 328, 1767, 281, 5231, 476, 280, 1296, 3516, 454, 6097, 547, 803, 667, 568, 519, 2626, 1317, 4986, 3932, 568, 5018, 538, 3948, 780, 306, 541, 7534, 1767, 281, 5231, 476, 279, 1296, 3516, 454, 1692, 666, 596, 2161, 602, 4505, 812, 3085, 1405, 3310, 972, 22038, 676, 5079, 780, 3383, 594, 786, 979, 609, 4781, 667, 780, 295, 784, 1767, 281, 5231, 476, 279, 1296, 3516, 454, 1692, 568, 621, 2009, 602, 10390, 476, 272, 568, 519, 2626, 286, 4634, 1498, 519, 25195, 1522, 581, 3020, 593, 621, 1378, 267, 621, 3085, 1405, 3514, 1018, 649, 616, 3843, 547, 798, 1934, 269, 667, 568, 519, 2626, 269, 589, 568, 4625, 1500, 909, 267, 543, 654, 305, 32670, 2439, 305, 698, 16852, 10067, 1690, 534, 1767, 281, 5231, 476, 279, 1296, 3516, 0, 263, 271, 267, 272, 9984, 322, 14394, 692, 263, 271, 267, 272, 9984, 9008, 657, 692, 258, 12430, 9753, 692, 1012, 22830, 692, 288, 5276, 1931, 630, 10193, 1572, 29660, 19195, 267, 2687, 547, 9504, 264, 568, 519, 9048, 325, 2716, 633, 4528, 540, 513, 2698, 1931, 269, 589, 31085, 10288, 1305, 267, 610, 17485, 564, 267, 568, 513, 1305, 9280, 609, 513, 5276, 1931, 780, 1103, 8106, 6128, 267, 519, 11984, 1063, 5276, 9753, 543, 2698, 9753, 568, 8806, 513, 2165, 514, 1670, 2930, 640, 267, 799, 568, 711, 2141, 4767, 282, 811, 10502, 267, 972, 568, 513, 2067, 1979, 20287, 1063, 519, 1305, 540, 2698, 9753, 593, 513, 2016, 1305, 1269, 306, 259, 543, 519, 1305, 540, 5276, 9753, 593, 1269, 306, 8961, 543, 835, 30193, 873, 676, 519, 10035, 4399, 2741, 259, 630, 1721, 519, 5276, 1931, 264, 543, 4399, 19008, 259, 630, 1721, 519, 2698, 1931, 1040, 769, 16268, 6128, 267, 2705, 267, 789, 616, 9048, 3027, 4601, 1114, 780, 1012, 26479, 692, 288, 5276, 1931, 593, 513, 1305, 1269, 306, 259, 568, 513, 630, 321, 2435, 264, 6935, 4399, 2741, 259, 609, 519, 1739, 3601, 1384, 1892, 9048, 325, 2716, 2032, 281, 1269, 343, 1422, 333, 1652, 1535, 259, 3248, 1892, 12623, 11496, 281, 1269, 343, 1422, 2741, 586, 259, 543, 1269, 344, 1422, 2741, 1535, 259, 3112, 1312, 581, 3020, 3248, 1892, 1098, 6638, 281, 952, 1269, 343, 1422, 2741, 586, 1422, 2741, 1990, 8961, 1287, 1269, 343, 1422, 2741, 1990, 259, 3248, 1892, 6476, 281, 952, 1269, 343, 1422, 2741, 1990, 8961, 1287, 1269, 343, 1422, 2741, 586, 259, 610, 1269, 344, 1422, 2741, 1990, 259, 3248, 1892, 4448, 1145, 281, 952, 1269, 343, 1422, 333, 1652, 586, 259, 543, 1269, 344, 1422, 333, 1652, 1535, 8961, 1287, 1269, 343, 815, 586, 16859, 1103, 8106, 6128, 267, 835, 949, 1294, 891, 8747, 540, 12623, 11496, 543, 4448, 1145, 1384, 1892, 1269, 343, 1422, 333, 1652, 586, 259, 610, 1269, 344, 1422, 333, 1652, 1535, 259, 3248, 1892, 1269, 343, 1422, 2741, 586, 259, 610, 1269, 344, 1422, 2741, 1535, 259, 610, 1269, 343, 815, 586, 16859, 8794, 16934, 1647, 267, 891, 616, 6697, 547, 12623, 11496, 543, 4448, 1145, 607, 2016, 1657, 267, 855, 789, 991, 711, 3180, 585, 782, 5276, 9753, 538, 16268, 6128, 780, 8002, 1302, 267, 891, 24936, 1682, 616, 936, 26973, 282, 547, 2253, 609, 267, 9048, 325, 2716, 2032, 568, 3274, 513, 2027, 2013, 540, 12623, 11496, 543, 865, 666, 581, 12628, 269, 3958, 267, 835, 666, 2901, 6749, 1098, 6638, 610, 6749, 12623, 11496, 630, 6518, 1287, 3340, 5329, 9048, 325, 2716, 2032, 5148, 789, 786, 1869, 1246, 689, 519, 824, 24936, 1682, 269, 667, 549, 6137, 1098, 6638, 2982, 8915, 569, 519, 546, 7081, 630, 5408, 2630, 264, 1063, 5276, 9753, 543, 2698, 9753, 630, 16838, 538, 16268, 6128, 1070, 1247, 5329, 1098, 6638, 543, 21177, 12623, 11496, 2982, 8915, 569, 602, 513, 5276, 1931, 568, 513, 2027, 2186, 540, 29610, 4650, 780, 1103, 8106, 6128, 267, 972, 616, 1256, 811, 3681, 269, 3767, 6476, 666, 581, 12628, 267, 607, 621, 5205, 689, 1098, 6638, 543, 4448, 1145, 269, 4746, 267, 835, 1419, 10905, 9048, 325, 2716, 2032, 267, 12623, 11496, 267, 543, 4448, 1145, 883, 513, 2582, 24936, 558, 1210, 12600, 771, 329, 4233, 1384, 1892, 959, 747, 30315, 281, 1269, 343, 1422, 2741, 586, 259, 1535, 528, 1269, 344, 1422, 2741, 1535, 259, 1535, 528, 1269, 343, 815, 586, 16859, 13295, 519, 1034, 1455, 4214, 3096, 1152, 959, 747, 30315, 543, 1098, 6638, 780, 3080, 666, 849, 4612, 4448, 1145, 711, 607, 606, 24936, 558, 855, 607, 513, 4214, 540, 7862, 267, 3478, 513, 5276, 1931, 593, 513, 23479, 1305, 540, 1269, 306, 10608, 769, 824, 1913, 267, 952, 4399, 2741, 259, 568, 606, 12623, 13240, 6476, 6935, 593, 1269, 306, 8961, 543, 649, 5581, 1269, 343, 1422, 25406, 586, 259, 547, 1611, 602, 9444, 1269, 343, 1422, 2741, 586, 259, 6862, 1269, 344, 1422, 2741, 1535, 8961, 1287, 4399, 25406, 259, 568, 606, 30424, 6935, 543, 4399, 2741, 259, 28901, 513, 5276, 1931, 593, 1269, 306, 270, 3189, 25406, 31859, 1012, 6201, 692, 12218, 1227, 267, 1022, 2698, 1931, 11225, 606, 1383, 540, 513, 5276, 1931, 630, 553, 6045, 2630, 1070, 543, 713, 849, 6585, 4020, 1947, 538, 15768, 6128, 269, 4595, 1034, 5276, 9753, 538, 891, 2665, 616, 2356, 4330, 538, 2474, 540, 741, 2698, 9753, 267, 519, 1445, 1934, 568, 593, 16268, 2079, 269, 630, 763, 1101, 6221, 267, 2705, 267, 568, 606, 9868, 24355, 1892, 589, 682, 13877, 4919, 1931, 267, 1256, 538, 513, 8106, 610, 15768, 2796, 267, 568, 811, 3362, 4330, 607, 513, 5276, 1931, 982, 607, 513, 2698, 1931, 563, 1892, 634, 2462, 1383, 538, 2079, 568, 519, 2361, 540, 1483, 2338, 269, 5637, 519, 667, 539, 2131, 785, 556, 1023, 543, 519, 595, 879, 16408, 556, 1023, 630, 16838, 952, 4617, 1293, 762, 3903, 14543, 865, 891, 616, 711, 6697, 264, 723, 513, 5276, 1931, 4399, 2741, 259, 602, 11498, 519, 630, 20657, 22421, 264, 5276, 1931, 593, 519, 7787, 2338, 269, 4595, 519, 7222, 9864, 1931, 4399, 19008, 259, 3112, 581, 9863, 2698, 630, 663, 538, 930, 1362, 1227, 23380, 8747, 540, 16268, 6128, 666, 1256, 581, 9863, 711, 2698, 1070, 4399, 2741, 259, 568, 811, 2047, 3730, 982, 4399, 19008, 259, 568, 16268, 2079, 269, 769, 1022, 2013, 267, 4399, 2741, 259, 568, 811, 4909, 267, 2094, 4399, 19008, 259, 666, 581, 3989, 538, 2474, 540, 4399, 2741, 259, 855, 711, 519, 824, 1259, 1472, 269, 630, 763, 5839, 3026, 4068, 1483, 2338, 723, 1312, 4399, 2741, 259, 543, 4399, 19008, 259, 282, 2705, 267, 538, 713, 2013, 267, 9444, 568, 8209, 513, 5276, 610, 2698, 1931, 267, 6862, 666, 789, 8209, 581, 3989, 538, 2474, 540, 835, 1776, 8094, 1892, 13391, 790, 2230, 543, 22616, 528, 2230, 267, 1373, 2099, 762, 607, 1016, 4944, 2167, 540, 519, 1483, 1899, 267, 540, 1576, 616, 31085, 10288, 269, 898, 781, 849, 4277, 547, 1294, 873, 607, 4947, 689, 519, 630, 20657, 22421, 264, 5276, 9753, 593, 4399, 10400, 346, 301, 4151, 543, 4399, 10400, 346, 273, 20954, 799, 789, 616, 4399, 10400, 346, 301, 4151, 268, 19507, 2472, 540, 780, 1012, 16544, 692, 2162, 4039, 566, 547, 2698, 9753, 692, 8794, 16934, 1647, 267, 835, 666, 1847, 1063, 5276, 9753, 543, 2698, 9753, 1210, 2258, 566, 282, 602, 568, 267, 519, 2258, 566, 540, 513, 5276, 1931, 568, 513, 2698, 1931, 543, 13030, 17930, 269, 24511, 835, 2356, 2220, 2355, 519, 1931, 1932, 267, 607, 5205, 1384, 1892, 1269, 343, 1422, 2741, 586, 259, 476, 858, 1269, 344, 1422, 333, 19008, 1535, 259, 3248, 1892, 1269, 343, 1422, 19008, 586, 259, 476, 858, 1269, 344, 1422, 333, 1652, 1535, 16859, 2414, 6961, 713, 267, 621, 781, 2614, 547, 1294, 602, 519, 3601, 540, 513, 5276, 1931, 616, 12242, 547, 519, 3601, 540, 513, 2698, 1931, 267, 607, 5205, 1384, 15035, 3921, 1068, 4973, 1931, 454, 597, 10915, 2716, 2032, 10915, 2716, 2032, 454, 553, 2096, 11496, 339, 582, 1275, 454, 10520, 6638, 1260, 1706, 2581, 454, 1260, 1706, 2581, 10520, 6638, 454, 8588, 1145, 656, 529, 2096, 11496, 692, 17746, 1192, 1947, 267, 891, 616, 1869, 519, 9949, 8847, 547, 946, 282, 602, 568, 267, 952, 835, 568, 2016, 513, 5276, 1931, 610, 513, 2698, 1931, 543, 6499, 547, 4612, 519, 824, 3090, 267, 1287, 835, 1281, 865, 1210, 891, 8847, 269, 1717, 267, 519, 1267, 786, 711, 8209, 581, 513, 2698, 1931, 610, 513, 5276, 1931, 269, 1677, 581, 1808, 267, 952, 835, 6238, 609, 513, 5276, 1931, 4399, 2741, 259, 543, 11225, 4399, 19008, 259, 607, 1657, 267, 1287, 9103, 1275, 1281, 711, 1246, 282, 543, 952, 835, 6238, 609, 513, 2698, 1931, 4399, 19008, 259, 543, 11225, 4399, 2741, 259, 607, 1657, 267, 1287, 6476, 1281, 711, 1246, 269, 11048, 267, 693, 2547, 4399, 19008, 259, 786, 581, 513, 9864, 1931, 267, 543, 2547, 4399, 2741, 259, 786, 581, 513, 29610, 4650, 269, 5015, 267, 519, 546, 7081, 1063, 519, 24936, 1682, 568, 1869, 972, 267, 1256, 1498, 2258, 566, 1100, 3476, 18657, 919, 1063, 873, 282, 4352, 6476, 991, 711, 3180, 585, 513, 2698, 1931, 4020, 1947, 267, 519, 546, 7081, 568, 12873, 952, 835, 11225, 5276, 9753, 1510, 1210, 1098, 6638, 780, 3080, 1419, 12034, 1269, 343, 1422, 2741, 586, 259, 3989, 607, 1269, 343, 1422, 548, 586, 259, 855, 1269, 343, 1422, 928, 586, 259, 282, 713, 568, 6697, 267, 855, 3085, 1405, 1397, 519, 632, 21546, 546, 7081, 12799, 269, 6684, 267, 835, 1419, 12034, 1269, 343, 1422, 19008, 586, 259, 3989, 607, 1269, 343, 1422, 2741, 586, 259, 610, 1269, 343, 815, 586, 259, 282, 713, 568, 711, 1256, 6697, 4020, 1947, 267, 4352, 621, 568, 1362, 1227, 780, 16605, 538, 2247, 267, 2705, 267, 602, 519, 1152, 946, 540, 16934, 1647, 538, 519, 8106, 3069, 568, 519, 13429, 602, 1269, 343, 815, 586, 8961, 1269, 343, 1422, 2741, 586, 8961, 543, 1269, 343, 1422, 19008, 586, 259, 616, 2141, 2901, 3020, 610, 7301, 269, 1703, 568, 4061, 513, 3501, 19359, 1063, 1232, 22421, 5276, 9753, 543, 1232, 22421, 2698, 9753, 593, 5036, 609, 1232, 22421, 7862, 780, 2162, 4147, 4328, 1283, 657, 692, 2467, 568, 513, 1362, 4328, 1283, 657, 585, 20948, 5276, 9753, 269, 898, 568, 2016, 676, 519, 7121, 540, 5430, 574, 2364, 658, 5036, 267, 8754, 676, 519, 1095, 515, 2378, 1283, 657, 936, 519, 6587, 7121, 540, 519, 1138, 2364, 658, 7121, 780, 2690, 811, 1294, 693, 1362, 4328, 1283, 657, 519, 3296, 1280, 630, 514, 4725, 1243, 264, 5276, 9753, 780, 3725, 14876, 593, 5147, 476, 2537, 267, 476, 1001, 275, 476, 4962, 281, 6321, 281, 1240, 676, 32088, 21582, 731, 630, 7761, 269, 9264, 269, 6246, 269, 6344, 264, 0, 258, 1323, 32389, 609, 27449, 543, 6715, 619, 692, 2162, 8827, 476, 272, 692, 3528, 519, 7537, 8566, 300, 8635, 10484, 315, 6234, 1422, 8218, 9387, 348, 737, 317, 273, 315, 6523, 317, 273, 1422, 15883, 1341, 331, 317, 273, 315, 6523, 317, 273, 1422, 10401, 1299, 315, 613, 476, 273, 25490, 346, 330, 317, 273, 331, 317, 273, 315, 6523, 317, 273, 315, 10401, 1422, 6523, 317, 273, 1422, 15883, 27874, 17851, 273, 347, 9383, 24689, 6523, 1422, 10401, 315, 6523, 1422, 15883, 1422, 28254, 476, 273, 9383, 1422, 6523, 1422, 10401, 1422, 6523, 1422, 15883, 269, 1422, 754, 9387, 10926, 13295, 267, 649, 723, 513, 5311, 540, 6697, 16526, 1384, 315, 6234, 1422, 8218, 9387, 348, 1299, 330, 317, 273, 315, 6523, 317, 273, 1422, 15883, 266, 331, 317, 273, 315, 6523 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5463, 28672, 2659, 14134, 12389, 18740, 454, 268, 5153, 476, 272, 281, 5700, 2659, 12763, 906, 563, 268, 5153, 476, 273, 281, 16514, 519, 20233, 719, 563, 268, 5153, 476, 274, 281, 7994, 2659, 13910, 563, 268, 5153, 476, 275, 281, 4855, 519, 1924, 17304, 3689, 563, 268, 5153, 476, 274, 281, 17292, 519, 9351, 681, 1872, 563, 268, 5153, 476, 275, 281, 5192, 519, 9406, 31786, 563, 268, 5153, 476, 276, 281, 32341, 593, 2659, 7822, 6022, 8291, 563, 268, 5153, 476, 277, 281, 5410, 9931, 3203, 1299, 7457, 1559, 563, 1692, 666, 594, 1118, 1250, 2713, 4055, 1413, 811, 7199, 888, 1692, 547, 5269, 2659, 12389, 18740, 6733, 2859, 5890, 2400, 454, 268, 670, 836, 2659, 4354, 13935, 5455, 4400, 269, 5071, 676, 5463, 528, 626, 563, 268, 623, 732, 13560, 2659, 25334, 32268, 269, 5071, 676, 5463, 528, 626, 563, 268, 5455, 14079, 2659, 700, 10102, 327, 3547, 269, 20907, 15945, 899, 5851, 14187, 338, 543, 10097, 21625, 899, 16170, 24872, 543, 15332, 543, 25553, 273, 616, 1390, 585, 4466, 23129, 7888, 8654, 563, 268, 17186, 5455, 2659, 7956, 999, 563, 268, 8058, 13826, 14066, 4149, 7051, 3203, 563, 268, 18224, 18610, 26540, 563, 1432, 568, 519, 3017, 1063, 7145, 543, 4398, 609, 1806, 888, 1103, 824, 1913, 267, 6356, 4369, 568, 827, 3257, 519, 1318, 4305, 267, 11264, 2238, 543, 8236, 3853, 269, 21252, 568, 827, 3257, 1919, 538, 606, 6099, 1259, 267, 585, 1383, 3257, 621, 519, 16595, 610, 538, 519, 2547, 7199, 1259, 269, 898, 1223, 581, 519, 4636, 3364, 267, 855, 621, 729, 2944, 5688, 958, 563, 1692, 798, 649, 2268, 4398, 888, 292, 11797, 568, 6027, 676, 12270, 513, 11832, 779, 4890, 3977, 2557, 676, 519, 3044, 3977, 2557, 543, 14921, 519, 6364, 676, 476, 1911, 2600, 563, 1432, 568, 519, 2078, 1063, 7145, 543, 4398, 888, 763, 2078, 1063, 7145, 543, 4398, 568, 602, 7145, 568, 513, 2268, 540, 2048, 16591, 1145, 685, 540, 3977, 267, 1247, 4398, 568, 513, 2268, 540, 519, 2200, 2838, 547, 3035, 519, 3977, 269, 4935, 7145, 540, 519, 1062, 4016, 547, 519, 2298, 540, 17016, 689, 519, 1062, 563, 1432, 568, 2816, 4398, 888, 22998, 7561, 2164, 538, 513, 2362, 3812, 4320, 689, 519, 1482, 2179, 540, 4199, 3403, 269, 769, 519, 9036, 4259, 4398, 2356, 6257, 519, 4247, 543, 4074, 12913, 538, 513, 2582, 960, 1485, 676, 606, 1367, 9441, 563, 1432, 798, 596, 1611, 676, 4492, 4398, 888, 293, 3241, 4398, 568, 513, 1106, 540, 8143, 4398, 267, 2495, 519, 5223, 540, 4674, 547, 1267, 540, 513, 1184, 602, 17838, 3114, 1761, 1648, 8659, 538, 513, 15298, 630, 325, 3241, 264, 883, 15452, 1648, 610, 960, 563, 1432, 568, 7145, 4398, 888, 1700, 27400, 610, 8647, 538, 519, 1655, 2009, 6073, 609, 519, 2547, 3653, 540, 942, 543, 4674, 269, 634, 3017, 1063, 7145, 543, 4398, 666, 581, 2040, 4364, 909, 16172, 267, 6653, 569, 543, 13151, 3307, 569, 1107, 9861, 2500, 568, 827, 3257, 519, 1318, 1919, 267, 1247, 1373, 3608, 568, 827, 3257, 1919, 1318, 563, 1692, 798, 596, 4766, 7145, 888, 22546, 4369, 568, 519, 12588, 540, 6721, 513, 5551, 1267, 610, 519, 2702, 547, 3132, 5551, 3977, 269, 1879, 1945, 568, 16363, 2500, 267, 621, 1797, 621, 814, 606, 5497, 610, 4397, 6364, 267, 610, 7472, 513, 2620, 267, 12667, 12705, 563, 7617, 2501, 1101, 7145, 610, 4398, 888, 22546, 4369, 959, 7927, 4398, 269, 17291, 1018, 2115, 547, 581, 2944, 2501, 1101, 630, 324, 977, 4369, 264, 543, 1287, 649, 991, 547, 1265, 513, 1259, 547, 798, 621, 7561, 269, 898, 779, 1732, 547, 798, 519, 1318, 3364, 1447, 7561, 630, 324, 8997, 855, 28537, 264, 982, 547, 798, 519, 4636, 3364, 7561, 630, 710, 8997, 855, 3608, 1916, 1692, 666, 594, 1118, 1250, 4398, 19887, 1413, 1434, 888, 13425, 856, 938, 1592, 540, 7718, 908, 4388, 267, 14764, 2093, 267, 543, 10721, 554, 2931, 547, 9784, 707, 18638, 19887, 1374, 2336, 268, 5463, 28672, 609, 8752, 27413, 563, 268, 2422, 19257, 5558, 547, 7046, 5455, 519, 18740, 563, 268, 12559, 12643, 14675, 609, 513, 7822, 995, 24135, 12960, 563, 268, 5071, 606, 6452, 550, 9931, 563, 268, 22982, 11638, 6261, 17123, 30166, 8132, 563, 268, 14780, 1047, 2659, 16170, 7498, 268, 7767, 538, 513, 32298, 16170, 563, 1432, 568, 7145, 540, 1710, 888, 1432, 568, 7145, 540, 1710, 286, 513, 269, 519, 5223, 540, 4890, 3002, 11843, 689, 1710, 1858, 547, 519, 3002, 799, 1131, 581, 11843, 952, 3003, 1710, 1858, 729, 693, 3490, 2837, 269, 536, 269, 519, 3002, 799, 1131, 581, 11843, 952, 3003, 1710, 1858, 729, 693, 3490, 2837, 547, 519, 5223, 540, 4890, 3002, 11843, 689, 1710, 1858, 563, 1692, 798, 594, 1118, 1250, 18638, 19887, 18241, 888, 1704, 2081, 547, 2490, 513, 16081, 6244, 18638, 883, 513, 838, 20160, 543, 18241, 7498, 268, 6215, 4575, 3774, 851, 1431, 269, 9540, 5624, 2154, 15931, 3435, 267, 543, 713, 568, 835, 540, 873, 563, 268, 24761, 1374, 269, 898, 779, 711, 2556, 547, 1118, 707, 18638, 19887, 562, 1180, 525, 5296, 676, 7446, 1152, 1769, 4778, 563, 268, 6250, 1302, 9750, 519, 2230, 563, 268, 16952, 2230, 563, 268, 25037, 532, 4778, 563, 268, 7743, 10659, 563, 268, 26726, 5383, 563, 1432, 568, 4398, 1383, 888, 292, 11797, 568, 3989, 607, 519, 2702, 547, 3132, 1945, 609, 513, 5934, 2179, 540, 4674, 269, 1323, 1383, 540, 4398, 568, 513, 5786, 538, 519, 1297, 540, 4600, 2877, 547, 1118, 513, 1286, 269, 634, 5223, 540, 519, 2500, 610, 3730, 3977, 547, 519, 2698, 3403, 538, 1022, 1062, 269, 634, 4398, 540, 713, 561, 10796, 701, 6033, 568, 476, 2412, 18336, 1692, 666, 649, 2268, 519, 4398, 543, 7145, 540, 9946, 2773, 888, 19931, 2359, 1797, 282, 8757, 3853, 538, 606, 3608, 6073, 1210, 1447, 2179, 540, 2200, 269, 5004, 2773, 543, 7145, 568, 6027, 676, 282, 2549, 870, 540, 30825, 610, 5080, 15200, 269, 634, 2557, 540, 8605, 2032, 563, 1432, 568, 519, 1034, 1455, 2681, 585, 513, 2713, 4055, 888, 294, 2001, 568, 513, 2442, 9243, 585, 1022, 4055, 538, 519, 2777, 267, 855, 621, 5654, 3226, 10427, 538, 519, 2713, 4055, 269, 898, 568, 1851, 519, 1034, 2442, 2713, 4055, 4778, 269, 9791, 568, 3013, 779, 5172, 2681, 267, 865, 621, 779, 513, 1100, 1532, 1778, 518, 585, 519, 4055, 602, 6770, 3025, 1927, 563, 1432, 616, 519, 2188, 540, 4398, 888, 19853, 4485, 547, 1860, 519, 1648, 4398, 616, 1114, 563, 268, 476, 274, 269, 272, 269, 16959, 2339, 6981, 543, 2504, 269, 16959, 2339, 6981, 630, 291, 11085, 264, 543, 2504, 616, 519, 1463, 3334, 540, 1034, 1648, 4398, 7592, 563, 268, 476, 274, 269, 273, 269, 10610, 2597, 563, 268, 476, 274, 269, 274, 269, 10610, 5160, 2242, 563, 268, 476, 274, 269, 275, 269, 6520, 693, 1101, 1608, 1324, 630, 288, 15598, 994, 268, 476, 274, 269, 276, 269, 7025, 2188, 563, 1432, 568, 4398, 543, 7145, 538, 606, 3919, 888, 7212, 519, 1079, 1913, 3277, 547, 3356, 4724, 513, 3804, 267, 972, 568, 513, 2312, 11984, 269, 2755, 7145, 4016, 547, 3257, 519, 1318, 1919, 519, 1259, 596, 616, 9277, 547, 267, 4398, 4016, 547, 3257, 519, 1318, 1919, 519, 1655, 1259, 269, 3502, 782, 3906, 602, 616, 2500, 616, 3608, 267, 543, 13030, 268, 951, 320, 563, 1432, 568, 606, 4398, 888, 2304, 4398, 19887, 568, 513, 1507, 19887, 1770, 602, 267, 3020, 547, 922, 2012, 267, 10905, 519, 10342, 540, 2789, 11623, 883, 835, 269, 1323, 4398, 19887, 3335, 10905, 519, 23103, 267, 2713, 4055, 543, 10051, 782, 883, 835, 2582, 4055, 269, 21252, 6306, 906, 616, 1419, 2808, 519, 1482, 607, 18638, 610, 20277, 6306, 906, 563, 1432, 568, 519, 3017, 1063, 7145, 4398, 543, 7607, 888, 22546, 4369, 568, 3257, 519, 1318, 1919, 267, 1247, 4398, 568, 3257, 1919, 1318, 269, 4256, 10167, 11729, 1164, 7607, 269, 21252, 568, 519, 1655, 2009, 3977, 829, 1770, 540, 942, 281, 1775, 4318, 1421, 3257, 1919, 1318, 269, 1879, 596, 798, 519, 1318, 1919, 1318, 267, 596, 5734, 707, 5021, 1377, 540, 4398, 543, 7607, 563, 1432, 568, 2087, 4398, 888, 292, 11797, 568, 519, 2298, 540, 1373, 2111, 547, 798, 513, 4305, 6707, 267, 1510, 27830, 942, 610, 1648, 269, 0, 3674, 513, 7735, 20399, 610, 20158, 888, 3674, 513, 7735, 20399, 610, 20158, 888, 2414, 968, 12304, 892, 513, 7735, 1419, 17697, 569, 1797, 547, 7903, 621, 1524, 543, 1287, 5305, 621, 269, 1403, 594, 4051, 596, 547, 968, 12304, 892, 519, 589, 1883, 593, 707, 13691, 267, 596, 3580, 4440, 7903, 621, 1524, 543, 1287, 1577, 979, 269, 1677, 968, 24119, 816, 892, 513, 7735, 796, 3711, 580, 28204, 4016, 1152, 547, 519, 957, 540, 11319, 621, 1524, 563, 1432, 1281, 621, 1611, 547, 1244, 816, 1945, 888, 272, 2433, 547, 2046, 1524, 3493, 816, 519, 968, 10938, 892, 1883, 269, 476, 273, 2433, 547, 1118, 8909, 610, 27209, 5213, 1406, 1577, 519, 3377, 1244, 816, 596, 269, 476, 274, 2433, 547, 24390, 519, 2534, 610, 4222, 540, 14068, 4365, 1185, 20158, 6455, 563, 1692, 798, 596, 1244, 816, 10856, 16181, 888, 32207, 958, 513, 8437, 609, 519, 1318, 10856, 7735, 568, 519, 1482, 607, 513, 6513, 26487, 269, 28463, 269, 1677, 8749, 267, 1244, 816, 519, 2451, 10856, 7735, 543, 1847, 519, 10856, 1510, 16089, 519, 10856, 7735, 269, 19537, 21794, 666, 581, 1031, 547, 1847, 3615, 267, 543, 547, 5031, 1257, 563, 1432, 568, 4628, 1244, 816, 888, 12831, 816, 568, 3989, 607, 547, 2046, 1524, 267, 1118, 29043, 610, 1447, 3407, 269, 6693, 1432, 568, 519, 6587, 540, 513, 7735, 888, 16123, 366, 11534, 5242, 540, 547, 3728, 523, 609, 513, 7735, 269, 3768, 334, 269, 4652, 770, 523, 563, 3674, 1244, 816, 519, 6587, 540, 2046, 888, 18208, 543, 1244, 816, 616, 519, 1482, 269, 4635, 632, 1790, 816, 607, 519, 6587, 540, 1244, 816, 568, 2469, 547, 581, 3833, 14845, 563, 1432, 1281, 1244, 816, 513, 7735, 1611, 888, 2691, 13288, 547, 513, 7735, 267, 1244, 816, 4016, 547, 519, 957, 540, 10296, 1524, 2390, 519, 7735, 563, 1432, 1281, 711, 1244, 816, 1611, 888, 281, 711, 20158, 2523, 2433, 711, 4299, 676, 610, 7680, 5626, 4965, 562, 1180, 788, 5962, 2550, 563, 7617, 568, 519, 476, 274, 10856, 7735, 888, 11586, 272, 630, 332, 1787, 7735, 476, 272, 264, 568, 519, 2451, 7735, 269, 15406, 273, 630, 332, 1787, 7735, 476, 273, 264, 568, 519, 1647, 7735, 269, 15406, 274, 630, 332, 1787, 7735, 476, 274, 264, 568, 519, 1318, 7735, 2507, 563, 23277, 1787, 29502, 1475, 7659, 3525, 8595, 1475, 303, 17123, 2008, 347, 11586, 274, 1475, 333, 821, 1475, 305, 582, 622, 476, 274, 5937, 10525, 2008, 18871, 27530, 1475, 303, 8911, 538, 2070, 9486, 2008, 1432, 616, 519, 2947, 10856, 2553, 888, 268, 8672, 532, 2433, 31161, 519, 10856, 547, 1847, 519, 593, 1606, 10547, 24072, 563, 268, 8437, 532, 2433, 18208, 543, 5305, 519, 2451, 10856, 7735, 2899, 563, 268, 17677, 4211, 5585, 532, 2433, 18208, 543, 5305, 519, 2451, 10856, 7735, 7466, 563, 268, 19537, 21794, 2433, 295, 1245, 1524, 519, 2451, 10856, 7735, 607, 596, 1847, 519, 24072, 563, 268, 9406, 4211, 5585, 532, 2433, 18208, 543, 5305, 519, 1318, 10856, 7735, 563, 1432, 1281, 1244, 816, 519, 804, 8553, 1611, 888, 2691, 519, 804, 8553, 29465, 568, 20158, 267, 519, 10814, 27605, 519, 804, 8553, 23643, 267, 4929, 519, 5305, 12946, 547, 1847, 4464, 1996, 519, 2604, 6676, 269, 3807, 899, 1244, 7675, 519, 20347, 29465, 593, 707, 1286, 267, 1244, 7675, 519, 804, 8553, 29465, 24864, 513, 32168, 518, 883, 519, 16004, 540, 519, 4487, 12718, 563, 4692, 1411, 15681, 2725, 1141, 547, 946, 2046, 543, 1244, 816, 888, 24119, 816, 1797, 7903, 543, 2014, 547, 1847, 1524, 269, 594, 666, 1244, 816, 519, 1376, 7735, 593, 1250, 2780, 269, 2107, 267, 594, 666, 2046, 621, 269, 594, 666, 2046, 513, 3774, 267, 855, 594, 666, 1406, 1244, 816, 621, 269, 634, 2165, 2048, 24119, 816, 685, 568, 513, 2603, 1447, 1455, 563, 3963, 568, 519, 2046, 540, 513, 10856, 7735, 1572, 20158, 888, 1103, 1896, 2835, 602, 2446, 717, 21397, 267, 13691, 267, 610, 10856, 16181, 630, 324, 3052, 269, 519, 1433, 14691, 8837, 676, 8176, 8891, 345, 1245, 1070, 519, 4589, 3277, 547, 519, 1533, 540, 513, 20399, 7735, 607, 20158, 563, 3963, 568, 519, 6521 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1360, 4686, 1317, 972, 5749, 12728, 14214, 24149, 10634, 339, 1932, 1082, 540, 713, 1560, 14604, 610, 6517, 899, 891, 538, 519, 1158, 602, 2291, 15042, 269, 2334, 12728, 14214, 24149, 10634, 338, 1946, 713, 1286, 568, 1360, 2786, 4464, 543, 1360, 8799, 1286, 269, 898, 1185, 1044, 1572, 519, 25865, 571, 1317, 621, 16716, 3728, 543, 621, 4682, 607, 3728, 607, 519, 25865, 571, 269, 4518, 11855, 8525, 5291, 2517, 4178, 269, 4887, 8364, 743, 889, 269, 635, 8276, 639, 2193, 322, 1513, 9706, 2632, 13519, 3766, 1729, 9706, 2632, 13519, 3766, 1729, 3620, 626, 800, 269, 695, 15621, 267, 5291, 2517, 4178, 269, 4376, 12671, 322, 1513, 269, 635, 270, 3422, 271, 338, 2173, 639, 2193, 2275, 1513, 269, 16814, 5291, 2517, 321, 16078, 548, 756, 578, 6308, 269, 2121, 11305, 1513, 11305, 600, 16619, 11305, 600, 16619, 318, 20931, 270, 5291, 2517, 4178, 269, 782, 1706, 269, 635, 270, 16347, 4882, 10967, 12704, 269, 16814, 5291, 2517, 4178, 269, 26775, 269, 635, 270, 19477, 270, 10219, 278, 2420, 277, 268, 3422, 271, 338, 2275, 528, 557, 12076 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 704, 9386, 19752, 513, 3152, 6991, 269, 769, 1840, 267, 513, 12761, 1700, 5503, 3113, 2488, 4030, 3564, 1175, 3432, 282, 621, 666, 849, 2995, 721, 519, 4287, 538, 799, 606, 1843, 568, 3001, 269, 1403, 519, 13506, 568, 2942, 267, 713, 10522, 602, 519, 1843, 779, 6991, 568, 2942, 1932, 267, 2495, 602, 519, 1843, 568, 3001, 23651, 780, 2162, 7151, 540, 513, 12761, 5288, 942, 3113, 692, 4131, 779, 2015, 513, 1286, 3001, 2059, 513, 2786, 4155, 269, 1284, 4063, 922, 12761, 693, 1585, 2053, 267, 607, 3254, 538, 519, 1739, 3349, 269, 1635, 1210, 713, 1239, 267, 649, 666, 4729, 513, 12761, 1700, 5503, 3113, 269, 901, 3113, 1287, 3587, 513, 1907, 998, 799, 649, 666, 17429, 576, 519, 1286, 779, 6991, 780, 4131, 779, 1413, 693, 519, 1239, 1101, 547, 1265, 3270, 269, 1284, 1294, 602, 519, 12761, 4679, 20406, 2394, 476, 274, 521, 267, 543, 1287, 3587, 3586, 269, 901, 1797, 602, 519, 1286, 814, 513, 11931, 6991, 693, 1101, 543, 1287, 13515, 780, 3086, 267, 649, 4729, 519, 12761, 5288, 942, 3113, 1384, 4131, 779, 15475, 649, 1616, 547, 1265, 519, 6991, 540, 519, 1286, 1282, 519, 1101, 476, 274, 7643, 269, 1284, 666, 798, 713, 676, 4466, 519, 13506, 540, 519, 3113, 780, 763, 13506, 540, 519, 3113, 568, 3160, 547, 519, 1689, 538, 12761, 18121, 17218, 343, 1422, 18773, 521, 259, 264, 5258, 676, 519, 1689, 538, 942, 18121, 17218, 343, 1422, 18773, 512, 259, 17107, 2330, 341, 7807, 2765, 3189, 18773, 521, 7346, 18773, 512, 15732, 2330, 341, 7807, 2765, 18950, 2412, 268, 1015, 20972, 263, 274, 268, 271, 264, 15732, 2330, 341, 7807, 2765, 346, 1789, 2410, 274, 13157, 1015, 349, 315, 3667, 346, 916, 8703, 268, 272, 15732, 1012, 7756, 9537, 540, 18289, 543, 741, 28977, 692, 27039, 593, 519, 2010, 540, 5163, 267, 519, 12761, 5288, 942, 11708, 786, 4159, 1114, 4162, 269, 4197, 891, 2010, 540, 5163, 543, 741, 21370, 11269, 2636, 721, 547, 4612, 519, 2623, 540, 3001, 3615, 8308, 780, 2162, 19693, 20653, 6290, 18289, 692, 1607, 1826, 540, 5163, 4386, 950, 606, 1843, 7575, 693, 513, 11931, 3432, 609, 4642, 10231, 269, 2201, 513, 12761, 5288, 942, 3113, 267, 3586, 6991, 568, 6719, 676, 513, 2786, 1899, 269, 634, 9386, 540, 713, 1899, 630, 6518, 4564, 519, 6991, 264, 3788, 3586, 2429, 780, 2690, 5163, 540, 1079, 610, 811, 3615, 267, 519, 9386, 2982, 799, 1843, 568, 3001, 5488, 269, 634, 588, 2465, 704, 519, 9386, 267, 519, 3152, 519, 6991, 780, 2162, 13749, 776, 8629, 692, 2691, 606, 1843, 568, 19335, 267, 519, 12761, 568, 711, 4657, 267, 865, 519, 6991, 568, 1269, 17218, 343, 642, 284, 271, 10608, 634, 9386, 540, 513, 12761, 5288, 942, 3113, 585, 513, 19335, 1843, 568, 476, 271, 780, 2162, 20134, 6991, 692, 2691, 606, 1843, 814, 2942, 6991, 267, 922, 12761, 11081, 269, 634, 9386, 540, 713, 3113, 568, 2942, 269, 769, 519, 1739, 6516, 267, 519, 6991, 568, 2942, 1310, 942, 1269, 17218, 343, 570, 16859, 2162, 24665, 730, 18289, 692, 1607, 1826, 540, 5163, 4523, 950, 606, 1843, 779, 6991, 2242, 936, 942, 269, 769, 513, 12761, 5288, 942, 3113, 267, 18965, 5163, 568, 13269, 676, 513, 17208, 1899, 269, 634, 7455, 779, 14869, 1145, 2242, 267, 8204, 519, 4657, 6991, 780, 1012, 17972, 540, 2598, 10293, 5288, 5384, 28977, 692, 2162, 15474, 543, 20134, 2598, 10293, 692, 272, 269, 15474, 12761, 281, 2201, 519, 3113, 267, 621, 568, 20922, 676, 2798, 28367, 1657, 519, 942, 7852, 563, 273, 269, 20134, 12761, 281, 901, 6920, 3350, 538, 519, 4287, 6587, 547, 519, 6074, 2318, 4287, 269, 2201, 519, 3113, 267, 621, 568, 6719, 676, 2798, 28367, 2630, 519, 942, 7852, 563, 274, 269, 20023, 12761, 281, 20023, 12761, 666, 2901, 1611, 519, 1843, 568, 19335, 610, 621, 814, 8120, 547, 922, 4358, 2990, 269, 2201, 519, 3113, 267, 621, 779, 13269, 676, 2798, 14084, 593, 519, 942, 7852, 780, 2162, 32437, 538, 2598, 10293, 5288, 5384, 28977, 692, 272, 269, 4197, 9386, 281, 634, 9386, 540, 513, 1899, 538, 513, 12761, 5288, 942, 3113, 4564, 519, 6991, 540, 519, 1843, 563, 273, 269, 15474, 9386, 281, 589, 2318, 9386, 6920, 606, 1843, 568, 3001, 538, 519, 2318, 4287, 269, 589, 588, 2465, 704, 9386, 4564, 513, 2362, 6991, 563, 274, 269, 20134, 9386, 281, 589, 2942, 9386, 1797, 5163, 538, 519, 2942, 4287, 269, 589, 588, 2465, 704, 2942, 9386, 18575, 513, 2362, 3432, 855, 538, 519, 6587, 4287, 563, 275, 269, 20023, 9386, 281, 589, 4642, 9386, 1797, 519, 1843, 568, 711, 3001, 267, 1775, 4318, 1421, 621, 814, 4642, 6991, 780, 2162, 962, 268, 11328, 1061, 538, 2598, 10293, 5288, 5384, 28977, 692, 272, 269, 3955, 31147, 586, 25435, 281, 769, 513, 12761, 5288, 942, 3113, 267, 519, 586, 25435, 4564, 519, 3355, 12761, 540, 519, 1843, 693, 942, 4642, 563, 273, 269, 15474, 543, 2942, 586, 25435, 281, 589, 2318, 586, 25435, 6920, 606, 3355, 12761, 538, 519, 2318, 4287, 267, 1247, 513, 2942, 586, 25435, 5267, 606, 3355, 12761, 538, 519, 2942, 4287, 269, 0, 258, 476, 280, 1321, 275, 630, 15893, 2020, 280, 267, 14862, 630, 333, 710, 8536, 835, 4627, 8938, 21144, 264, 568, 606, 1256, 2185, 1673, 580, 1080, 12432, 1297, 1739, 476, 280, 1321, 274, 543, 18631, 476, 280, 1321, 276, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 280, 269, 14862, 6398, 476, 9818, 269, 634, 2040, 540, 922, 9704, 568, 476, 1626, 269, 898, 814, 513, 2698, 540, 476, 274, 6305, 2188, 543, 476, 277, 2318, 16975, 269, 1703, 616, 476, 275, 267, 28794, 2318, 9981, 630, 1575, 547, 476, 280, 1321, 275, 264, 602, 616, 5266, 6305, 547, 476, 280, 1321, 275, 780, 1012, 9978, 3601, 692, 1892, 1772, 11788, 286, 3143, 454, 1892, 7089, 26027, 4634, 454, 1892, 7089, 3259, 476, 275, 454, 1892, 5681, 540, 6226, 1080, 476, 1626, 454, 1892, 7913, 17848, 476, 278, 692, 1012, 8745, 692, 14112, 2012, 476, 280, 8536, 476, 14862, 8370, 8536, 835, 4627, 8938, 21144, 692, 1012, 3502, 566, 692, 26199, 10035, 476, 280, 269, 14862, 6398, 476, 9818, 476, 280, 269, 14862, 6398, 476, 9818, 692, 1012, 11788, 16748, 1436, 540, 476, 280, 1321, 275, 692, 28269, 16748, 1436, 476, 2420, 6398, 476, 25248, 272, 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, 274, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 27174, 273, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 910, 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, 271, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 271, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 280, 267, 14862, 568, 476, 2420, 6398, 476, 25248, 272, 269, 4595, 621, 814, 513, 2698, 540, 476, 274, 6305, 2188, 267, 476, 280, 267, 14862, 568, 513, 12432, 1297, 780, 1012, 6555, 30583, 540, 476, 280, 1321, 275, 692, 272, 267, 476, 273, 267, 476, 275, 267, 476, 25248, 272, 267, 476, 27174, 273, 267, 476, 280, 1321, 275, 692, 277, 16975, 692, 4634, 16975, 476, 275, 476, 273, 476, 273, 476, 271, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 277, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 14689, 10619, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 277, 5952, 271, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 29214, 273, 269, 3451, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 4817, 269, 31982, 277, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 274, 269, 275, 2767, 5881, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 280, 267, 14862, 666, 581, 5258, 676, 476, 277, 2318, 16975, 630, 719, 540, 799, 476, 275, 616, 1256, 267, 543, 476, 273, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 280, 267, 14862, 264, 568, 476, 1428, 267, 9032, 275, 267, 519, 3328, 568, 476, 2918, 267, 7830, 1421, 18357, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 280, 1321, 275, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 27174, 271, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 25248, 271, 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, 13647, 276, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 279, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 275, 267, 28794, 2318, 9981, 630, 1652, 982, 476, 280, 267, 14862, 264, 602, 616, 2941, 31870, 609, 476, 280, 267, 14862, 269, 1656, 972, 616, 5111, 476, 272, 267, 13670, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 280, 267, 14862, 780, 1012, 6555, 529, 2225, 540, 476, 280, 1321, 275, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 271, 476, 272, 476, 271, 476, 275, 476, 275, 476, 274, 476, 275, 476, 278, 692, 763, 1297, 476, 280, 267, 14862, 568, 16883, 676, 476, 273, 543, 476, 275, 780, 1892, 4347, 17087, 692, 1892, 2717, 924, 692, 1012, 12476, 7503, 630, 280, 1321, 275, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 1911, 18733, 6200, 9826, 876, 454, 274, 570, 1716, 776, 476, 8099, 9340, 21854, 454, 275, 2372, 15715, 776, 476, 10711, 21854, 271, 454, 276, 2372, 2435, 476, 26237, 29900, 454, 277, 7354, 776, 476, 8099, 14862, 454, 279, 4239, 531, 476, 21327, 4510, 454, 1015, 27252, 476, 280, 1321, 275, 454, 1321, 13660, 1712, 31565, 476, 276, 4097, 275, 454, 736, 966, 580, 525, 2711, 476, 1321, 326, 275, 454, 3607, 12476, 3607, 476, 10170, 326, 692, 1012, 9978, 9273, 630, 333, 815, 476, 280, 1321, 275, 2020, 2162, 18527, 692, 333, 9943, 344, 454, 562, 9943, 273, 476, 9264, 4366, 476, 24129, 7761, 476, 3607, 275, 9834, 476, 27174, 736, 692, 2162, 10406, 692, 333, 383, 371, 344, 454, 562, 383, 371, 273, 476, 27174, 273, 476, 19054, 272, 269, 3451, 476, 25248, 272, 476, 9264, 275, 269, 279, 692, 2162, 5890, 9426, 2747, 692, 5500, 454, 562, 273, 476, 279, 3953, 5325, 274, 10602, 476, 4037, 280, 276, 5392, 4962, 279, 277, 2190, 476, 7597, 274, 23713, 6321, 272, 5400, 279, 276, 4391, 277, 476, 277, 3953, 19054, 32133, 278, 4391, 8687, 3583, 277, 2190, 692, 2162, 715, 628, 17848, 692, 344, 18414, 333, 454, 476, 273, 18414, 333, 476, 4817, 269, 31982, 277, 476, 736, 269, 279, 4817, 280, 476, 280, 269, 6507, 274, 6078, 476, 277, 269, 3707, 11463, 692, 1012, 476, 280, 1321, 275, 607, 12166, 5546, 692, 2162, 17781, 692, 18924, 2678, 476, 9264, 4366, 476, 6872, 274, 2767, 269, 279, 476, 273, 269, 277, 1428, 3066, 324, 266, 5400, 692, 2162, 1975, 1877, 692, 11730, 476, 274, 269, 8687, 6795, 324, 266, 1321, 476, 272, 269, 271, 5379, 1321, 324, 266, 6021, 476, 6872, 274, 2767, 269, 279, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 3607, 275, 9834, 476, 279, 269, 27844, 10619, 324, 266, 5881, 476, 15782, 6734, 269, 274, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 275, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4692, 1411, 16473, 5253, 2353, 25489, 888, 288, 2603, 540, 3237, 4898, 267, 666, 596, 2061, 1426, 11959, 286, 898, 779, 513, 1434, 2243, 256, 5253, 11959, 3100, 547, 581, 593, 519, 4473, 538, 519, 2475, 269, 4653, 267, 476, 272, 538, 476, 1724, 3214, 538, 519, 2475, 814, 513, 1426, 14711, 543, 602, 1297, 568, 3395, 563, 3963, 286, 4270, 267, 519, 3123, 540, 1426, 11959, 616, 7164, 269, 1656, 267, 1247, 972, 616, 1082, 26968, 985, 267, 972, 568, 930, 2963, 602, 596, 666, 2061, 1426, 11959, 538, 707, 2370, 3283, 269, 1215, 286, 1635, 8023, 707, 3214, 519, 3536, 602, 4122, 2014, 11959, 2038, 543, 1419, 563, 13425, 856, 938, 3381, 267, 3366, 676, 513, 12963, 1014, 543, 3158, 454, 2171, 2813, 513, 1357, 14373, 547, 10002, 871, 519, 1007, 5583, 689, 519, 1977, 9142, 540, 27435, 269, 13772, 621, 693, 707, 16837, 256, 31327, 721, 998, 519, 1202, 543, 519, 16080, 568, 4604, 14468, 12963, 1014, 3220, 269, 12756, 5211, 320, 269, 2701, 9397, 1524, 3388, 596, 991, 547, 917, 827, 875, 547, 6338, 1455, 1426, 23480, 543, 1101, 3536, 563, 2171, 3382, 1018, 596, 991, 547, 917, 827, 875, 547, 2061, 1426, 11959, 454, 11854, 32496, 267, 3220, 269, 12756, 786, 948, 721, 547, 454, 268, 1174, 519, 1007, 589, 4338, 4808, 543, 1018, 789, 1611, 585, 721, 607, 3237, 454, 268, 3533, 1413, 693, 519, 1382, 543, 4681, 602, 3366, 547, 519, 1007, 5583, 630, 14588, 32496, 827, 30637, 994, 268, 4137, 856, 952, 707, 1126, 568, 693, 2362, 1981, 585, 513, 1426, 14711, 454, 268, 2689, 950, 17571, 616, 3617, 585, 2370, 3283, 454, 268, 1451, 875, 543, 950, 547, 6338, 519, 3536, 602, 616, 519, 1455, 1426, 23480, 543, 1946, 602, 666, 2061, 1426, 11959, 0, 763, 24068, 7245, 7947, 338, 519, 4214, 540, 968, 4725, 18945, 892, 585, 13155, 2831, 543, 7024, 547, 519, 1620, 602, 11478, 1354, 519, 2229, 896, 5518, 18496, 808, 269, 11686, 4389, 519, 2127, 602, 1223, 581, 6870, 585, 2831, 896, 3463, 540, 14486, 563, 3528, 9427, 513, 2582, 4845, 689, 519, 6042, 267, 519, 2136, 2276, 12551, 543, 13812, 6796, 543, 519, 2817, 7909, 545, 543, 27321, 10029, 30656, 1223, 556, 3491, 15157, 519, 968, 322, 15560, 7226, 892, 1256, 952, 621, 2968, 20025, 1813, 547, 7835, 610, 824, 2242, 267, 855, 1223, 581, 17468, 563, 763, 11686, 7245, 7522, 539, 519, 4214, 540, 968, 4725, 18945, 892, 543, 3908, 5313, 4027, 547, 4025, 602, 1223, 2844, 606, 13155, 2249, 267, 7429, 519, 6626, 3140, 1604, 1141, 606, 3662, 1223, 835, 1554, 2661, 610, 2661, 563, 3719, 519, 11686, 7245, 779, 4341, 729, 14669, 547, 519, 5726, 5301, 540, 519, 29510, 15661, 2920, 476, 3192, 274, 267, 7320, 8387, 2161, 563, 2108, 2690, 930, 2249, 602, 616, 593, 519, 2357, 613, 540, 14486, 1813, 547, 7226, 2530, 610, 2916, 1689, 267, 543, 972, 616, 12777, 1082, 9249, 2451, 267, 649, 991, 782, 519, 2645, 538, 519, 32367, 547, 2149, 519, 6967, 9249, 602, 1522, 581, 3617, 1848, 1767, 20710, 1326, 13056, 30750, 267, 2212, 540, 519, 5726, 543, 8760, 6498, 693, 519, 12551, 543, 13812, 6796, 563, 20245, 16786, 540, 519, 24068, 7245, 454, 28347, 24068, 568, 11319, 585, 31749, 6042, 267, 855, 646, 814, 513, 2182, 1259, 547, 3035, 1010, 3853, 538, 519, 4339, 1996, 2518, 8337, 563, 27287, 7226, 25084, 1281, 711, 6615, 2534, 593, 4357, 2244, 8259, 621, 3322, 5313, 14998, 610, 7616, 282, 5313, 8041, 1590, 2327, 602, 1022, 3800, 602, 2508, 267, 11863, 610, 2936, 798, 711, 6861, 610, 28148, 7369, 971, 9249, 563, 763, 1847, 2501, 693, 513, 942, 540, 14556, 4328, 9265, 6433, 267, 609, 606, 6059, 2929, 13155, 2030, 543, 3662, 2249, 5001, 269, 634, 1292, 2014, 568, 519, 2530, 540, 519, 2067, 1604, 607, 1004, 2981, 3552, 2127, 883, 11396, 267, 10034, 543, 14252, 269, 21694, 543, 2916, 1689, 22652, 713, 1966, 563, 763, 1689, 676, 519, 24068, 7245, 568, 519, 1101, 540, 1896, 4397, 2242, 547, 519, 11686, 268, 5028, 3652, 12044, 519, 29510, 15661, 2920, 269, 12079, 10118, 2503, 621, 547, 4735, 531, 519, 2034, 4341, 1985, 3923, 267, 849, 1644, 547, 7226, 2115, 269, 2423, 17067, 538, 4873, 267, 789, 6069, 513, 1007, 4341, 602, 1131, 7794, 519, 4027, 540, 2249, 538, 513, 4657, 2916, 676, 3850, 22124, 547, 6338, 8097, 3662, 5095, 3544, 741, 8978, 4609, 563, 3719, 513, 5094, 267, 3573, 1305, 540, 2242, 689, 519, 11686, 5736, 538, 875, 519, 29510, 15661, 2920, 568, 8045, 267, 1500, 538, 476, 1001, 280, 267, 2611, 538, 1747, 543, 4566, 585, 873, 616, 15458, 267, 2825, 1235, 2161, 269, 1452, 3652, 1450, 22124, 547, 1491, 2804, 2188, 883, 2272, 950, 14045, 593, 2249, 4027, 282, 547, 7520, 519, 8851, 540, 2831, 543, 2371, 689, 519, 1592, 540, 13155, 2831, 282, 5305, 4027, 585, 2249, 9241, 9286, 607, 2048, 754, 11139, 8730, 799, 568, 519, 1377, 2630, 13155, 282, 543, 1118, 621, 811, 2352, 547, 2015, 519, 2360, 540, 2916, 1689, 538, 7863, 13155, 2249, 563, 4322, 2242, 723, 1044, 15874, 676, 2872, 2516, 1519, 512, 763, 2817, 5948, 540, 5851, 12706, 619, 267, 519, 2817, 595, 4490, 5443, 779, 2142, 1030, 5948, 543, 519, 5375, 6052, 19137, 267, 799, 20888, 519, 9431, 8323, 563, 4913, 267, 5726, 2516, 19429, 513, 3656, 1843, 542, 547, 713, 1305, 540, 3652, 538, 476, 1001, 280, 267, 513, 2013, 602, 568, 1869, 5571, 563, 2108, 4322, 5739, 3652, 723, 1044, 538, 1747, 585, 3592, 1614, 1296, 267, 543, 519, 24068, 7245, 568, 1869, 1524, 2223, 1767, 26701, 523, 15196, 956, 267, 513, 15818, 585, 3047, 3286, 823, 267, 513, 1875, 17416, 2825, 1895, 602, 814, 19429, 4031, 7057, 593, 15773, 540, 1082, 2825, 3906, 269, 968, 4517, 8041, 267, 540, 1576, 267, 946, 873, 1317, 789, 723, 547, 946, 6042, 602, 616, 538, 1747, 2223, 1352, 1767, 267, 13288, 547, 2229, 2516, 971, 607, 519, 12551, 543, 13812, 6796, 563, 288, 1032, 3516, 267, 13222, 540, 519, 24068, 7245, 9307, 741, 9837, 547, 556, 29264, 519, 1689, 269, 1358, 616, 1631, 32261, 513, 5480, 3375, 593, 519, 476, 1001, 280, 10189, 563, 2108, 305, 1430, 982, 3981, 532, 513, 4341, 602, 1131, 1287, 723, 547, 581, 2417, 15428, 1759, 593, 519, 5480, 15194, 267, 649, 2219, 621, 1655, 547, 7227, 585, 1018, 519, 5480, 1131, 2161, 1354, 2921, 2417, 2962, 2223, 1767, 4911, 11253, 590, 2174, 320, 267, 2212, 540, 519, 13155, 2249, 6498, 693, 30857, 269, 8433, 585, 13363, 539, 8249, 269, 0, 763, 1034, 4070, 540, 6671, 3196, 1186, 11608, 2919, 585, 30194, 12362, 6391, 616, 6186, 11608, 269, 9603, 547, 922, 12122, 543, 5179, 12972, 267, 6186, 11608, 616, 1198, 539, 676, 1804, 24880, 3196, 269, 1452, 1804, 24880, 3196, 1118, 12427, 547, 5397, 11608, 7411, 269, 4475, 267, 538, 1931, 547, 7500, 3362, 267, 519, 3001, 2694, 799, 616, 1198, 539, 689, 8904, 3196, 1058, 581, 1507, 269, 14022, 11608, 616, 1500, 547, 708, 10028, 4070, 540, 519, 1480, 269, 1809, 2094, 519, 5163, 568, 11658, 676, 7708, 8364, 538, 30194, 12362, 6391, 267, 519, 6186, 4070, 949, 711, 581, 5078, 269, 634, 835, 540, 519, 1655, 1259, 547, 1847, 3196, 1186, 568, 547, 5397, 7708, 8364, 2047, 269, 769, 6069, 7271, 267, 11608, 1847, 7708, 8364, 2694, 2047, 547, 1118, 1439, 1198, 528, 1507, 269, 18858, 8364, 814, 476, 274, 5232, 538, 835, 4745, 543, 25688, 10377, 633, 1062, 666, 8275, 3818, 5232, 540, 5191, 538, 835, 4745, 269, 4935, 267, 25688, 10377, 633, 568, 4294, 538, 6069, 7271, 269, 31401, 1397, 519, 14496, 540, 6069, 1505, 269, 0, 12024, 782, 1434, 575, 2465, 802, 649, 2648, 938, 6305, 2338, 269, 1358, 2811, 835, 540, 519, 1034, 4277, 1919, 547, 1353, 538, 6128, 563, 28646, 602, 781, 1946, 649, 1265, 713, 11788, 10606, 538, 513, 13340, 1788, 865, 1439, 8960, 269, 898, 781, 7168, 2241, 538, 2259, 267, 2046, 513, 7735, 282, 1205, 513, 6305, 1297, 563, 257, 1692, 1082, 2053, 723, 596, 2877, 519, 1985, 6305, 1297, 538, 513, 5311, 543, 267, 899, 930, 3662, 267, 1185, 547, 979, 547, 513, 9102, 3349, 547, 1413, 621, 909, 2437, 3081, 1733, 529, 5652, 307, 24546, 31640, 601, 269, 834, 11039, 267, 1346, 2395, 616, 936, 4799, 268, 12706, 1344, 281, 11788, 10606, 538, 513, 13340, 454, 763, 2956, 540, 6305, 2338, 454, 4322, 2338, 616, 2442, 538, 14238, 543, 25563, 269, 901, 568, 1317, 519, 2338, 267, 799, 616, 1152, 16883, 676, 2933, 543, 835, 267, 666, 581, 16611, 1927, 563, 2252, 596, 9062, 1079, 22136, 1927, 267, 596, 1205, 513, 1857, 1883, 269, 901, 1297, 568, 1031, 547, 9376, 1239, 543, 666, 581, 3838, 11884, 269, 1809, 547, 12260, 519, 1239, 267, 596, 991, 547, 917, 519, 1079, 22136, 1031, 547, 5352, 621, 563, 4407, 621, 781, 2653, 585, 513, 2780, 547, 5352, 519, 1883, 689, 519, 1079, 22136, 267, 621, 781, 1360, 2352, 585, 519, 2780, 547, 1205, 519, 1079, 2338, 689, 519, 1883, 563, 2467, 781, 513, 1390, 3381, 1934, 676, 17363, 623, 2086, 6511, 602, 6941, 875, 6305, 2338, 543, 25563, 960, 563, 9596, 827, 22136, 676, 2679, 513, 4216, 602, 12958, 873, 454, 4407, 1733, 529, 4486, 307, 24546, 31640, 1564, 1788, 3085, 1405, 1711, 22136, 585, 25563, 269, 5502, 267, 519, 1628, 1175, 22842, 519, 6228, 540, 891, 1390, 2338, 563, 10454, 1788, 814, 606, 19278, 8301, 1198, 952, 596, 616, 883, 2338, 2437, 3081, 519, 20536, 269, 834, 18208, 513, 7735, 543, 2398, 1307, 538, 513, 13340, 3947, 606, 2912, 1043, 630, 7758, 599, 4945, 264, 5365, 585, 1142, 1875, 17376, 830, 607, 621, 3649, 1080, 547, 4159, 519, 1985, 1336, 6305, 269, 1403, 596, 2972, 6128, 267, 596, 949, 1265, 713, 9642, 569, 21363, 4799, 10454, 5124, 2707, 568, 7168, 3551, 267, 6941, 519, 20536, 269, 834, 4002, 7735, 2046, 267, 513, 24072, 547, 513, 3758, 5627, 519, 1101, 1906, 2929, 22136, 568, 4994, 539, 543, 10268, 593, 519, 700, 7374, 269, 589, 476, 276, 13748, 290, 20794, 30390, 547, 2099, 519, 1875, 17376, 1307, 538, 1063, 269, 634, 6551, 8255, 3842, 18292, 1379, 267, 543, 519, 2063, 1336, 6305, 568, 2141, 10710, 269, 589, 13561, 1412, 3333, 583, 6658, 262, 7735, 568, 11368, 547, 1450, 519, 30722, 13100, 547, 581, 13324, 1524, 30780, 952, 621, 2115, 547, 581, 6410, 4799, 2791, 3513, 1451, 513, 1906, 1919, 827, 2542, 543, 1603, 547, 1257, 6119, 538, 713, 1788, 269, 1656, 596, 3513, 1451, 875, 547, 946, 606, 700, 7374, 543, 20794, 269, 2859, 11932, 267, 596, 3513, 2760, 581, 2110, 540, 22136, 1586, 269, 1656, 596, 1522, 1256, 581, 707, 1101, 1900, 2509, 4742, 513, 6939, 19212, 269, 0, 18128, 2064, 689, 2789, 2959, 1397, 602, 10708, 723, 3908, 1569, 547, 4638, 543, 10285, 1072, 1344, 543, 2533, 269, 21989, 267, 2523, 267, 723, 2370, 610, 1100, 8116, 936, 741, 1272, 5079, 267, 799, 28148, 1860, 741, 1072, 5498, 22701, 2623, 547, 2232, 2152, 899, 2038, 7365, 267, 13311, 26691, 267, 543, 22247, 705, 25344, 269, 3958, 267, 16526, 543, 3668, 540, 2533, 2014, 5458, 10616, 538, 18492, 9882, 543, 10285, 1072, 4656, 1851, 10708, 538, 6917, 3127, 269, 1306, 519, 1158, 7436, 4139, 20390, 30105, 685, 2657, 10432, 630, 18550, 476, 2641, 1107, 476, 2767, 1070, 621, 568, 2565, 547, 1445, 593, 5466, 519, 2596, 1072, 543, 8171, 540, 938, 10708, 563, 10932, 814, 3254, 602, 7459, 602, 1331, 11865, 532, 540, 4977, 1344, 543, 2069, 827, 4638, 543, 10285, 1072, 1851, 10708, 1223, 948, 2569, 14774, 7972, 267, 796, 680, 10165, 26691, 267, 22247, 705, 25344, 543, 2087, 18492, 9882, 538, 6917, 543, 896, 1606, 5703, 4683, 2950, 269, 6176, 23793, 3292, 666, 13497, 2569, 519, 16663, 1472, 14920, 267, 1225, 18571, 2942, 4638, 543, 10285, 1072, 4093, 267, 543, 7668, 1762, 10708, 547, 3635, 8116, 538, 6927, 899, 7365, 543, 1920, 4058, 563, 2005, 568, 267, 2705, 267, 513, 4161, 547, 7006, 1619, 1344, 827, 28689, 543, 10285, 1072, 538, 4525, 1141, 4008, 2861, 7130, 568, 24245, 543, 1762, 15730, 6690, 723, 3908, 1569, 547, 2883, 2200, 267, 10688, 267, 543, 519, 1379, 540, 3375, 1818, 269, 901, 568, 1141, 3906, 899, 519, 15510, 7690, 540, 3127, 1404, 513, 2565, 1909, 538, 28043, 1344, 10616, 543, 30015, 10708, 267, 6107, 267, 543, 824, 8639, 1369, 519, 2146, 609, 2200, 267, 1702, 543, 8220, 873, 547, 2139, 2533, 563, 19667 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7044, 563, 273, 269, 6034, 1559, 281, 6034, 1559, 616, 1031, 547, 10891, 6119, 883, 513, 15796, 269, 1358, 1683, 513, 9266, 2497, 602, 2306, 621, 4443, 547, 1265, 543, 1569, 6119, 563, 274, 269, 5450, 20631, 281, 5450, 20631, 568, 1239, 602, 6257, 519, 3601, 540, 513, 3758, 610, 15682, 267, 971, 607, 922, 2450, 267, 5137, 4266, 267, 14842, 4266, 267, 8227, 267, 27704, 267, 543, 4087, 593, 519, 12210, 563, 275, 269, 11711, 2353, 6327, 7305, 630, 293, 2969, 2567, 634, 674, 2969, 568, 513, 3349, 602, 7851, 3758, 6753, 593, 519, 12210, 269, 898, 8952, 3950, 540, 799, 13421, 616, 538, 946, 543, 799, 3283, 616, 1863, 563, 276, 269, 645, 2393, 30359, 281, 634, 18849, 5823, 3568, 3009, 602, 568, 13401, 950, 519, 2780, 6238, 909, 269, 898, 13907, 519, 5665, 1062, 883, 3965, 543, 10596, 1852, 547, 621, 563, 277, 269, 3487, 819, 7305, 281, 634, 15652, 3349, 17337, 519, 12210, 883, 5094, 6810, 1572, 851, 1431, 269, 3962, 15652, 666, 723, 922, 1378, 3758, 1062, 543, 581, 7307, 10446, 780, 15650, 540, 11711, 7010, 912, 2467, 616, 1896, 1114, 2010, 540, 3758, 1949, 267, 1142, 609, 922, 9342, 543, 12755, 269, 2368, 1455, 3758, 1949, 1331, 1384, 272, 269, 24857, 12396, 630, 6124, 5303, 11711, 3590, 2567, 31603, 676, 9786, 267, 24857, 12396, 568, 4922, 1031, 593, 8837, 1949, 269, 898, 7028, 1804, 6119, 267, 14238, 267, 13496, 267, 543, 1569, 8060, 563, 273, 269, 12327, 307, 630, 15761, 2105, 11711, 3590, 2567, 31603, 585, 12380, 267, 972, 616, 1896, 8747, 540, 519, 12327, 307, 3758, 1062, 267, 1519, 12327, 307, 273, 267, 12327, 307, 274, 267, 543, 12327, 307, 275, 269, 1452, 3758, 1949, 1489, 30998, 267, 799, 10607, 2773, 543, 10727, 563, 274, 269, 670, 12396, 266, 630, 295, 1512, 1105, 673, 11711, 3590, 9578, 2567, 31603, 676, 11197, 267, 670, 12396, 266, 568, 1031, 593, 5672, 5308, 1949, 269, 898, 7028, 27034, 3406, 4994, 532, 267, 14238, 267, 543, 30998, 563, 275, 269, 6673, 12396, 630, 7343, 548, 11711, 3590, 2567, 1234, 680, 5217, 670, 12396, 31956, 6673, 12396, 729, 2919, 676, 11197, 585, 2413, 5839, 338, 269, 898, 3091, 4824, 2773, 267, 3354, 267, 543, 10727, 3379, 547, 670, 12396, 266, 563, 276, 269, 608, 293, 2969, 630, 15761, 2105, 11711, 2353, 6327, 7305, 2567, 23850, 585, 8755, 11479, 543, 12676, 6486, 267, 608, 293, 2969, 2488, 1732, 17356, 2066, 2789, 5867, 982, 824, 3758, 1949, 780, 26794, 543, 32539, 540, 11711, 7010, 912, 10376, 1826, 540, 3758, 1062, 814, 922, 5383, 543, 11393, 269, 19805, 519, 1318, 3758, 1062, 5673, 593, 2188, 899, 519, 5497, 6165, 9183, 267, 3760, 17356, 267, 543, 5551, 2934, 269, 3371, 616, 930, 5294, 543, 931, 540, 3758, 1949, 1384, 26794, 1384, 265, 5029, 1125, 6119, 883, 513, 11295, 15796, 454, 265, 3629, 27034, 602, 2636, 3755, 547, 3533, 12398, 543, 13861, 6119, 454, 265, 8081, 1114, 3758, 12043, 267, 7306, 267, 543, 10305, 454, 265, 13724, 1062, 2773, 998, 524, 2286, 543, 4776, 564, 4221, 2553, 454, 265, 20644, 4359, 2934, 899, 14238, 267, 13496, 267, 543, 30998, 692, 11514, 23955, 1384, 265, 29203, 949, 1291, 547, 1761, 6959, 1282, 10380, 543, 12122, 454, 265, 13437, 4123, 26160, 1063, 3432, 267, 4390, 267, 543, 21336, 3599, 454, 265, 17290, 17356, 1063, 1114, 3758, 1949, 543, 5665, 1949, 454, 265, 8232, 16426, 1813, 547, 12961, 610, 13817, 29664, 323, 5468, 692, 16032, 13756, 585, 19737, 11711, 7010, 912, 2080, 616, 930, 1655, 2853, 585, 5883, 3758, 1949, 1384, 272, 269, 17115, 19307, 1271, 6119, 547, 2061, 1239, 2530, 1813, 547, 8800, 5821, 610, 3593, 5470, 563, 273, 269, 18554, 12210, 2230, 13345, 547, 2057, 4881, 856, 540, 4055, 585, 1007, 6119, 563, 274, 269, 5590, 3617, 1569, 8060, 547, 2327, 1152, 17101, 3755, 666, 1224, 267, 2328, 267, 610, 14892, 6119, 563, 275, 269, 11270, 1227, 1219, 4048, 618, 28283, 547, 2087, 2773, 543, 2569, 26610, 563, 276, 269, 5901, 3758, 1949, 8242, 547, 2232, 1634, 3354, 16426, 543, 17079, 4368, 525, 563, 277, 269, 7994, 519, 1318, 3758, 1062, 1759, 593, 519, 1808, 2115, 540, 519, 3498, 610, 24913, 563, 278, 269, 25956, 9568, 6051, 4566, 547, 7413, 29987, 543, 9156, 4503, 1239, 563, 279, 269, 7427, 29449, 7840, 585, 8848, 1005, 543, 25122, 3758, 1949, 563, 280, 269, 11657, 2242, 547, 3758, 1949, 543, 5781, 20894, 19383, 585, 10220, 563, 1015, 269, 22982, 2645, 899, 669, 330, 1091, 330, 267, 535, 338, 1188, 267, 543, 2598, 330, 7780, 1006, 547, 13209, 543, 7816, 3758, 1062, 2152, 780, 6962, 912, 8139, 3758, 1949, 568, 2629, 585, 2500, 1062, 7245, 269, 7743, 2359, 540, 3758, 1949, 5849, 6099, 2773, 267, 3354, 267, 543, 8244, 540, 1239, 269, 1306, 2029, 5170, 547, 11457, 267, 865, 1932, 798, 3758, 1949, 269, 853, 11691, 5483, 827, 1007, 7835, 543, 1655, 2853, 666, 948, 596, 1118, 5483, 3664, 827, 875, 547, 19022, 543, 2226, 3758, 1949, 585, 707, 3919, 781, 2115, 269, 6787, 596, 616, 2324, 609, 8837, 267, 12380, 267, 610, 5672, 5308, 267, 13215, 3758, 1062, 17950, 786, 4196, 596, 1134, 2429, 707, 4876, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4002, 901, 8525, 454, 763, 9906, 18361, 3568, 1082, 540, 519, 4507, 543, 5773, 585, 1053, 693, 12876, 7615, 2160, 269, 898, 849, 3568, 1344, 827, 12876, 7615, 781, 1686, 267, 5692, 267, 543, 2528, 267, 607, 1134, 607, 513, 1297, 540, 519, 2533, 543, 2200, 2139, 547, 1053, 563, 763, 4507, 8659, 538, 713, 25156, 616, 10858, 547, 782, 12876, 7615, 2160, 1053, 910, 15938, 267, 10927, 267, 543, 851, 6066, 269, 1280, 7156, 540, 782, 4507, 543, 5773, 1644, 547, 1373, 513, 2875, 693, 12876, 7615, 2160, 267, 519, 6280, 632, 2114, 513, 2875, 607, 606, 1367, 945, 568, 10805, 585, 5049, 543, 4607, 543, 5924, 1500, 8569, 593, 519, 10997, 2404, 609, 20343, 693, 12876, 7615, 2160, 269, 4841, 616, 3743, 585, 1373, 5432, 609, 543, 735, 2391, 609, 519, 1699, 4528, 540, 519, 25156, 267, 607, 1134, 607, 1022, 3606, 12876, 7615, 2160, 18361, 4433, 264, 9783, 676, 519, 1982, 610, 2238, 538, 799, 789, 616, 19801, 269, 13786, 1043, 2623, 568, 2838, 540, 12876, 7615, 1053, 267, 16382, 789, 616, 267, 543, 519, 9906, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 3590, 10029, 1315, 19554, 1299, 4825, 4471, 1998, 1315, 11711, 7010, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 538, 513, 1507, 8498, 538, 5333, 267, 972, 729, 513, 1895, 540, 2828, 3957, 24839, 267, 21322, 267, 10496, 13196, 267, 543, 19863, 8291, 269, 1358, 6068, 1565, 827, 1114, 1919, 267, 2523, 2257, 256, 2290, 1554, 789, 4956, 547, 979, 593, 513, 11477, 7045, 547, 1451, 827, 2757, 3943, 3536, 13881, 1282, 2686, 16873, 780, 5575, 267, 789, 10272, 4258, 325, 31839, 12251, 945, 6026, 873, 875, 547, 1118, 3213, 336, 14193, 15550, 269, 1261, 6045, 602, 950, 596, 3434, 5779, 609, 15755, 15559, 899, 9174, 267, 621, 2337, 2736, 1524, 519, 9157, 5946, 1818, 519, 9269, 13035, 543, 30861, 269, 901, 1184, 568, 1572, 3954, 4405, 566, 269, 634, 3214, 941, 27086, 543, 9599, 547, 2119, 741, 1007, 5137, 2439, 9202, 267, 789, 4682, 547, 8496, 877, 667, 1575, 2632, 781, 10051, 1141, 1352, 4951, 873, 875, 547, 5965, 2142, 1030, 25816, 7666, 793, 517, 269, 2701, 5143, 873, 602, 8022, 909, 519, 12403, 7444, 2636, 519, 10366, 547, 5283, 323, 1927, 2870, 513, 8949, 6492, 269, 1879, 3002, 568, 4294, 547, 6675, 267, 741, 5163, 4679, 4929, 873, 547, 1847, 5488, 543, 2458, 728, 811, 1419, 799, 19082, 856, 519, 8137, 2429, 519, 8670, 269, 634, 2828, 7948, 1405, 7227, 547, 2007, 538, 2439, 2026, 789, 4797, 741, 3460, 267, 789, 4362, 13158, 520, 537, 4068, 1373, 5423, 676, 631, 976, 773, 584, 2274, 4565, 4545, 269, 22628, 782, 1346, 10477, 5388, 267, 12756, 4280, 1946, 930, 5613, 543, 19787, 1689, 2681, 950, 2759, 1930, 269, 634, 27697, 14452, 602, 11476, 1459, 538, 891, 3536, 2746, 609, 5135, 3056, 547, 536, 20621, 269, 1717, 267, 952, 596, 27653, 873, 538, 1216, 6404, 609, 11993, 10433, 610, 16693, 267, 621, 11151, 16617, 543, 8952, 519, 4778, 6505, 269, 2271, 29098, 267, 519, 14228, 6836, 3257, 713, 4603, 1394, 1753, 543, 2386, 2614, 267, 621, 5249, 2439, 4263, 2063, 267, 789, 6603, 8496, 655, 12251, 16279, 12359, 773, 781, 1273, 1170, 24809, 1634, 585, 922, 4583, 9197, 11726, 1889, 5696, 383, 375, 331, 19902, 269, 2701, 7152, 875, 8731, 4221, 519, 1283, 1286, 14712, 3278, 519, 4006, 2870, 513, 2182, 4837, 6438, 9403, 1813, 547, 519, 8575, 650, 731, 5114, 1063, 11254, 7408, 543, 4227, 14836, 896, 1164, 3002, 269, 26812, 3990, 267, 519, 3214, 9289, 952, 789, 1223, 4019, 2257, 2035, 4121, 1282, 741, 7045, 538, 741, 3232, 2729, 1932, 780, 4913, 267, 711, 1169, 6364, 729, 1018, 789, 4397, 269, 2311, 12129, 602, 3781, 267, 11235, 547, 1397, 1055, 741, 1983, 267, 10496, 13196, 13986, 547, 3432, 909, 519, 5986, 1184, 540, 1010, 844, 7865, 269, 10251, 267, 646, 8694, 909, 23986, 908, 519, 14089, 4929, 519, 12933, 547, 6633, 269, 3571, 16254, 18056, 1864, 602, 554, 4292, 2306, 3653, 543, 3006, 3500, 543, 11931, 17993, 519, 5198, 269, 6736, 519, 26151, 844, 7865, 267, 789, 1185, 1187, 3695, 2257, 1247, 5986, 543, 7691, 602, 5821, 568, 849, 851, 540, 519, 3621, 6602, 1184, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 29205, 596, 2285, 1806, 540, 2757, 3943, 1426, 8286, 602, 616, 4122, 10057, 1282, 2686, 16873, 888, 272, 269, 3213, 336, 14193, 15550, 910, 513, 5929, 3943, 8670, 1500, 609, 9269, 11273, 538, 2699, 9174, 609, 17228, 267, 19637, 267, 11922, 267, 543, 28019, 454, 273, 269, 2142, 1030, 25816, 7666, 793, 517, 910, 513, 2295, 344, 12403, 1500, 609, 14132, 11273, 538, 2699, 9174, 609, 5388, 971, 607, 17436, 267, 19637, 267, 543, 12277, 454, 274, 269, 13158, 520, 537, 4068, 910, 513, 20757, 8670, 1500, 609, 5388, 971, 607, 4212, 8690, 267, 1990, 1075, 577, 7236, 267, 18717, 267, 19637, 267, 543, 14274, 267, 3335, 6039, 607, 513, 2427, 8670, 454, 275, 269, 2372, 7865, 31240, 9627, 910, 513, 29902, 2250, 787, 12933, 4904, 609, 5798, 267, 8645, 267, 10381, 267, 543, 28019, 610, 8423, 267, 3335, 6039, 607, 513, 14254, 610, 1490, 4875, 8670, 454, 276, 269, 9197, 11726, 1889, 1490, 383, 375, 331, 19902, 910, 513, 18397, 1500, 609, 29877, 8169, 731, 547, 5529, 609, 513, 4494, 540, 1286, 14712, 1242, 4006, 454, 277, 269, 25376, 650, 629, 9820, 572, 910, 513, 3165, 17339, 689, 519, 9381, 3148, 540, 3038, 775, 267, 1500, 609, 3165, 267, 32729, 267, 5388, 267, 543, 11922, 454, 278, 269, 18521, 1173, 1824, 632, 25816, 326, 690, 928, 910, 25658, 11273, 538, 13342, 7423, 543, 16163, 2917, 267, 3335, 6039, 607, 606, 12608, 6500, 538, 8303, 1014, 16654, 21567, 7685, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 3848, 476, 277, 281, 1133, 30584, 532, 3776, 1323, 6827, 832, 262, 17714, 910, 634, 13491, 540, 5274, 5590, 1479, 906, 692, 1103 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6995, 692, 1892, 4569, 4274, 585, 1169, 1641, 454, 1892, 9796, 1152, 952, 649, 666, 4194, 621, 692, 29155, 15925, 853, 1046, 454, 15612, 566, 912, 7712, 267, 7077, 540, 4399, 9507, 346, 16123, 367, 2410, 288, 23685, 18905, 25452, 289, 23685, 18905, 25452, 290, 23685, 18905, 476, 4151, 568, 2147, 547, 519, 7077, 540, 4399, 9507, 346, 16123, 367, 348, 27398, 14204, 7712, 267, 13235, 291, 568, 513, 25521, 563, 7445, 9507, 3189, 4120, 7684, 309, 7807, 9507, 3189, 4120, 7684, 309, 315, 11004, 1150, 259, 263, 13349, 994, 7445, 9507, 3189, 4120, 7684, 309, 5723, 7807, 9507, 3189, 4120, 7684, 309, 31505, 23685, 18905, 25452, 289, 23685, 18905, 476, 4153, 11004, 1150, 259, 263, 17357, 22046, 532, 5086, 538, 1079, 2147, 7077, 994, 11997, 676, 21191, 16726, 267, 4399, 9507, 346, 16123, 367, 348, 309, 5723, 315, 13678, 1422, 9507, 346, 16123, 367, 348, 309, 31505, 23685, 18905, 25452, 289, 23685, 18905, 476, 21456, 305, 26559, 540, 7222, 5011, 538, 1079, 2147, 12730, 568, 3160, 563, 7445, 2765, 346, 22849, 2410, 309, 31505, 23685, 18905, 31998, 7807, 2765, 346, 31357, 2410, 309, 346, 290, 23685, 18905, 31998, 14204, 7445, 2765, 346, 309, 31505, 23685, 18905, 7684, 266, 3189, 9507, 3189, 1721, 718, 31998, 17353, 18905, 7684, 2410, 309, 31505, 23685, 18905, 31998, 7807, 2765, 346, 309, 289, 2410, 309, 346, 289, 23685, 18905, 31998, 14204, 7445, 2765, 346, 1428, 266, 736, 2410, 1428, 18098, 2765, 346, 5392, 2410, 309, 346, 289, 23685, 18905, 31998, 14204, 259, 309, 346, 289, 23685, 18905, 7684, 7807, 2765, 346, 1428, 9943, 5392, 2410, 3374, 21456, 309, 289, 262, 284, 2641, 454, 309, 289, 284, 17668, 262, 266, 309, 289, 7055, 5392, 284, 17668, 266, 2641, 454, 17668, 262, 284, 2764, 454, 30607, 3502, 4010, 1018, 596, 2461, 3168, 585, 2496, 1892, 5999, 616, 3335, 12943, 538, 607, 3728, 607, 476, 1789, 3764, 692, 24169, 707, 1966, 585, 519, 3902, 540, 835, 6995, 0, 1012, 9894, 519, 16380, 723, 513, 1297, 585, 4642, 2496, 763, 3504, 16380, 1185, 1100, 3090, 585, 4642, 630, 19031, 24341, 29857, 394, 511, 14832, 1070, 543, 1705, 711, 946, 513, 7857, 1747, 14516, 585, 621, 780, 1012, 1548, 568, 519, 4936, 1003, 1968, 3090, 476, 271, 2496, 763, 1297, 4642, 1281, 711, 723, 922, 1378, 4936, 1003, 1968, 267, 855, 519, 2262, 14275, 320, 630, 1492, 5824, 2262, 2495, 968, 333, 821, 14615, 729, 1031, 676, 10120, 5640, 538, 9114, 340, 540, 476, 271, 269, 667, 542, 903, 3780, 1401, 580, 340, 639, 729, 1634, 547, 946, 14275, 320, 7258, 4936, 27766, 538, 476, 30589, 780, 1012, 9894, 519, 16380, 917, 827, 4642, 2496, 15578, 3504, 16380, 941, 3222, 540, 519, 1523, 540, 4642, 630, 553, 538, 2048, 2171, 723, 1100, 27371, 685, 1070, 855, 4769, 1406, 1589, 540, 621, 607, 513, 1297, 269, 17127, 1185, 25323, 621, 1317, 596, 7948, 1406, 7941, 676, 4642, 543, 1205, 513, 1524, 3562, 268, 24160, 1267, 780, 9802, 753, 692, 32188, 681, 692, 1012, 1548, 616, 519, 476, 273, 2010, 540, 1483, 2338, 2496, 17843, 2010, 540, 1483, 2338, 692, 1892, 7849, 2338, 281, 1452, 616, 1483, 2338, 602, 723, 1100, 8918, 543, 616, 8273, 982, 4642, 563, 1892, 19940, 2338, 281, 1452, 616, 2318, 1483, 2338, 602, 723, 1100, 17447, 267, 543, 849, 4642, 563, 1892, 6715, 619, 281, 1452, 616, 1483, 2338, 602, 723, 1100, 17447, 780, 1012, 6904, 616, 519, 1483, 2338, 2496, 18600, 2338, 616, 519, 2338, 799, 1331, 1312, 7787, 543, 19450, 2338, 269, 21929, 2338, 971, 607, 9981, 11196, 273, 267, 476, 271, 267, 476, 272, 1070, 8454, 263, 272, 270, 273, 267, 476, 273, 269, 276, 264, 543, 19450, 2338, 971, 607, 20734, 274, 267, 12631, 263, 2420, 270, 278, 1070, 3092, 1421, 616, 782, 1483, 2338, 780, 1012, 1548, 616, 1806, 540, 711, 1483, 2338, 2496, 3412, 698, 2435, 2338, 616, 2338, 602, 3112, 581, 3067, 1881, 267, 899, 519, 4009, 3597, 540, 910, 272, 269, 634, 1297, 267, 20922, 607, 1775, 267, 666, 581, 1031, 585, 4834, 543, 12596, 267, 855, 568, 711, 513, 1483, 1297, 602, 666, 581, 1031, 538, 2596, 12980, 269, 1411, 3112, 1039, 610, 1641, 16494, 2338, 269, 6271, 1383, 540, 606, 16494, 1297, 568, 20581, 780, 1012, 1548, 568, 519, 3017, 1063, 2067, 543, 1483, 2338, 2496, 2567, 634, 10203, 2338, 2715, 272, 267, 476, 273, 267, 476, 274, 269, 348, 616, 4122, 1572, 2067, 2338, 282, 2705, 267, 824, 8847, 1331, 476, 271, 267, 865, 602, 519, 1875, 24308, 9981, 2715, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 269, 348, 616, 849, 1572, 2067, 2338, 269, 2353, 7787, 2338, 616, 1483, 267, 855, 519, 598, 2091, 568, 711, 3020, 269, 7054, 16884, 2338, 281, 7464, 2338, 602, 616, 711, 7787, 780, 1012, 1772, 519, 1297, 476, 272, 513, 1483, 1297, 2496, 763, 1826, 540, 1297, 649, 7363, 946, 267, 971, 607, 476, 272, 267, 476, 1428, 269, 11025, 267, 6567, 271, 269, 272, 267, 476, 274, 270, 275, 267, 3092, 269, 15474, 610, 2942, 267, 1804, 610, 1507, 267, 2898, 2338, 610, 8918, 2338, 616, 782, 7464, 10606, 269, 1358, 616, 1572, 968, 18600, 10606, 892, 1317, 789, 616, 711, 22569, 2435, 10606, 780, 1012, 6904, 568, 6574, 1297, 2496, 2414, 1205, 519, 6574, 1297, 267, 519, 6574, 7857, 476, 280, 568, 5116, 693, 519, 5207, 12595, 1747, 267, 1775, 4318, 1421, 5215, 268, 2897, 267, 1985, 4130, 7857, 476, 277, 693, 7366, 268, 2897, 267, 1869, 4130, 7857, 476, 276, 693, 4557, 779, 1747, 543, 519, 10545, 7857, 476, 273, 693, 835, 779, 610, 4559, 1747, 269, 4935, 267, 519, 6574, 1297, 568, 476, 280, 4792, 273, 780, 32188, 3331, 502, 692, 1012, 1548, 1826, 540, 1297, 568, 594, 2496, 3412, 698, 2435, 10606, 1879, 649, 4009, 606, 16494, 1297, 267, 621, 3947, 513, 2942, 1267, 267, 799, 1797, 621, 568, 513, 4009, 3597, 540, 513, 2942, 1297, 267, 585, 1383, 267, 20734, 268, 273, 543, 20734, 268, 276, 269, 1879, 649, 4009, 891, 2338, 267, 519, 2164, 616, 910, 273, 543, 910, 276, 269, 634, 4009, 3597, 540, 2942, 835, 568, 6719, 676, 519, 4484, 1775, 267, 1775, 4318, 780, 1012, 1772, 476, 280, 513, 2898, 1297, 2496, 763, 2898, 2338, 616, 519, 2338, 1510, 8454, 543, 621, 568, 513, 4015, 540, 2318, 9981, 543, 4642, 269, 910, 280, 267, 910, 279, 267, 910, 278, 267, 910, 277, 267, 910, 276, 267, 910, 275, 267, 910, 274, 267, 910, 273, 267, 910, 272, 267, 476, 271, 267, 476, 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, 2507, 348, 25478, 10606, 281, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 16634, 10926, 1012, 1548, 1826, 540, 1297, 568, 476, 1839, 476, 278, 5325, 2496, 763, 1297, 476, 1839, 267, 278, 5325, 568, 513, 2898, 267, 7787, 267, 2318, 267, 8870, 267, 543, 849, 513, 2067, 1297, 780, 1012, 1772, 476, 275, 513, 2067, 1297, 2496, 20332, 2338, 616, 782, 2338, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 2507, 1358, 616, 519, 2338, 596, 2356, 1293, 543, 789, 786, 3136, 593, 883, 20581, 269, 19940, 2338, 616, 782, 2067, 2338, 1519, 476, 271, 552, 3052, 269, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 2507, 692, 1012, 1772, 6824, 513, 2067, 1297, 2496, 20332, 10606, 630, 301, 1070, 630, 10193, 1572, 2318, 9981, 267, 10203, 2338, 267, 610, 2067, 2338, 5148, 1358, 616, 519, 2338, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 2560, 348, 901, 2882, 782, 2338, 602, 666, 581, 2854, 607, 513, 8918, 269, 901, 2882, 8454, 2854, 538, 8918, 1106, 552, 3052, 1421, 476, 271, 269, 276, 267, 476, 271, 269, 4037, 476, 273, 269, 3374, 267, 2340, 479, 375, 271, 269, 5881, 274, 267, 476, 271, 269, 18357, 274, 267, 610, 476, 273, 269, 16318, 5952, 278, 780, 1012, 1548, 1305, 540, 2338, 1281, 476, 274, 270, 276, 4866, 547, 2496, 18204, 619, 616, 2898, 2338, 269, 476, 3374, 568, 513, 7787, 1297, 1317, 621, 4564, 513, 5223, 540, 1079, 9981, 630, 663, 14009, 9881, 510, 271, 3738, 780, 1012, 1548, 1797, 2067, 1297, 2496, 20332, 2338, 616, 2338, 602, 649, 946, 547, 1293, 269, 1358, 616, 2898, 267, 1875, 24308, 2338, 269, 1284, 1419, 1294, 873, 6719, 593, 513, 1297, 1899, 269, 7849, 2338, 267, 4061, 267, 666, 3136, 547, 20581, 269, 589, 1305, 540, 2067, 2338, 568, 3335, 20922, 676, 519, 3090, 21508, 499, 780, 271, 692, 1012, 1548, 568, 519, 10545, 2067, 1297, 2496, 3080, 568, 519, 10545, 2067, 1297, 780, 1012, 1548, 568, 2067, 1297, 543, 2898, 1297, 2496, 20332, 2338, 616, 2596, 10203, 2338, 971, 607, 630, 272, 267, 273, 267, 274, 267, 2507, 715, 1040, 19940, 2338, 616, 519, 1305, 540, 2067, 2338, 609, 4642, 630, 271, 267, 272, 267, 273, 267, 274, 2507, 2353, 519, 1875, 25179, 9981, 616, 1572, 2067, 2338, 269, 2353, 1875, 24308, 9981, 616, 1572, 2898, 2338, 269, 0, 1892, 14358, 2433, 476, 2412, 330, 32504, 1892, 3752, 7348, 539, 2433, 476, 1015, 330, 266, 692, 258, 9650, 1855, 553, 619, 2433, 570, 4459, 13174, 681, 1497, 692, 11795, 22187, 15019, 640, 692, 1432, 568, 519, 1871, 540, 476, 272, 270, 273, 540, 476, 273, 270, 274, 540, 476, 274, 270, 275, 540, 476, 275, 270, 276, 540, 476, 276, 270, 277, 540, 476, 277, 270, 278, 540, 476, 278, 270, 279, 540, 476, 279, 270, 280, 540, 476, 280, 270, 1015, 540, 476, 1911, 271, 2496, 30206, 454, 22296, 2248, 687, 454, 1892, 14358, 2433, 476, 3199, 330, 32504, 1892, 3752, 7348, 539, 2433, 476, 736, 330, 266, 692, 258, 9650, 1855, 553, 619, 2433, 8298, 673, 12653, 1457, 10658, 14794, 692, 11795, 22187, 15019, 640, 692, 19177, 3214, 2348, 2947, 7725, 1142, 941, 4730, 513, 3014, 538, 799, 789, 991, 547, 12235, 519, 4224, 693, 4396, 1858, 538, 519, 1216, 780, 298, 573, 272, 281, 590, 1075, 3865, 539, 538, 18530, 1614, 7725, 693, 4396, 1858, 855, 835, 540, 519, 4224, 3141, 330, 780, 298, 573, 274, 281, 3571, 2832, 729, 865, 3983, 602, 782, 7725, 3893, 3141, 330, 780, 298, 573, 275, 281, 1261, 729, 15813, 543, 9039, 540, 519, 7725, 3893, 3141, 330, 780, 298, 573, 273, 729, 519, 16771, 855, 729, 13351, 676, 513, 4224, 538, 519, 2212, 543, 5747, 780, 8005, 7166, 17718, 273, 26042, 1892, 14358, 2433, 476, 2412, 330, 32504, 1892, 3752, 7348, 539, 2433, 476, 1015, 330, 266, 692, 258, 9650, 1855, 553, 619, 2433, 27607, 3213, 1231, 16514, 10658, 14794, 692, 11795, 22187, 15019, 640, 692, 301, 710, 11113, 616, 11231, 538, 513, 6906, 607, 3254, 538, 519, 4605, 2630, 269, 1411, 991, 547, 13472, 1079, 12730, 547, 1106, 513, 4009, 269, 2052, 596, 798, 621, 2496, 1892, 14358, 2433, 476, 3199, 330, 32504, 1892, 3752, 7348, 539, 2433, 476, 736, 330, 266, 692, 258, 9650, 1855, 553, 619, 2433, 27084, 8354, 19877, 589, 696, 3363, 9046, 692, 11795, 22187, 15019, 640, 692, 4002, 513, 9589, 10784, 21526, 2244, 540, 575, 30298, 26072, 2073, 782, 519, 3662, 616, 7787, 263, 9418, 5100, 6393, 2467, 616, 3670, 682, 641, 1841, 543, 835, 13265, 563, 8867, 16985, 666, 3548, 13265, 855, 2094, 607, 519, 2244, 568, 9589, 267, 519, 682, 641, 1841, 945, 22655, 519, 13265, 2073, 7140, 883, 13265, 543, 1287, 666, 581, 13881, 676, 519, 6967, 682, 16985, 4433, 6393, 2252, 649, 4734, 873, 585, 930, 942, 1287, 875, 1082, 13265, 543, 682, 16985, 786, 581, 972, 2073, 950, 649, 2097, 1394, 26042, 1892, 14358, 2433, 476, 2004, 330, 32504, 1892, 3752, 7348, 539, 2433, 476, 736, 330, 266, 692, 258, 9650, 1855, 553, 619, 2433, 476, 275, 1341, 476, 280, 11203, 476, 1724, 692, 11795, 22187, 15019, 640, 692, 2252, 519, 1739, 568, 3020, 267, 666, 596, 1265, 519, 1871, 540, 630, 275, 1341, 476, 280, 264, 2496, 278, 1341, 476, 278, 815, 476, 273, 454, 279, 1341, 476, 279, 815, 476, 275, 454, 279, 1341, 476, 276, 815, 476, 272, 454, 277, 1341, 476, 280, 815, 476, 274, 454, 1015, 1341, 476, 1556, 815, 476, 280, 692, 1892, 14358, 2433, 476, 3199, 330, 32504, 1892 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1634, 547, 723, 23599, 610, 7067, 3601, 269, 2368, 5023, 342, 10449, 798, 723, 1898, 11041, 3773, 547, 741, 5820, 269, 1717, 267, 596, 666, 1118, 707, 1378, 676, 4946, 12772, 540, 1898, 11041, 547, 519, 1216, 563, 29973, 11041, 2270, 519, 968, 612, 775, 540, 892, 519, 2030, 779, 32709, 30147, 568, 8984, 540, 519, 2030, 689, 799, 621, 568, 6508, 269, 4256, 3601, 1331, 15934, 267, 21734, 267, 543, 4550, 13611, 3527, 269, 1452, 7067, 11041, 616, 6385, 3395, 538, 8560, 1317, 789, 957, 607, 2067, 4915, 1510, 1022, 2427, 2360, 563, 23744, 267, 891, 5023, 342, 10449, 616, 2808, 607, 2922, 607, 789, 616, 2067, 2472, 269, 2368, 1898, 11041, 723, 1044, 1336, 547, 723, 1880, 27611, 3601, 602, 949, 1118, 873, 3730, 607, 513, 5023, 31683, 269, 1452, 1331, 912, 268, 3212, 653, 1069, 842, 3282, 454, 268, 4325, 1301, 842, 3282, 454, 268, 1849, 913, 3282, 454, 268, 661, 32023, 3282, 454, 29973, 11041, 5023, 31683, 949, 581, 513, 1434, 7362, 23906, 1156, 518, 269, 1411, 12582, 1406, 9003, 7048, 593, 1898, 3282, 5023, 31683, 6619, 540, 5711, 9882, 2259, 267, 1498, 563, 306, 5306, 4826, 631, 1926, 31683, 454, 306, 5306, 1216, 568, 606, 13666, 4577, 3070, 267, 799, 1797, 621, 3568, 519, 1482, 20919, 543, 6886, 607, 938, 1560, 12862, 543, 4465, 1406, 8886, 622, 707, 14779, 563, 306, 5306, 1216, 568, 4122, 1031, 543, 5227, 1310, 5959, 10868, 269, 634, 4550, 1532, 17424, 3601, 3100, 547, 6175, 5959, 5563, 543, 10733, 6553, 267, 607, 1134, 607, 513, 3819, 23094, 269, 24953, 6070, 1216, 568, 1634, 547, 948, 609, 15319, 31462, 1846, 543, 9748, 2812, 269, 898, 849, 666, 13468, 5023, 21399, 610, 21385, 563, 2026, 621, 814, 513, 1970, 9063, 267, 6070, 1216, 949, 948, 547, 1521, 3983, 7362, 269, 29318, 602, 2014, 3983, 7362, 2154, 513, 1164, 9063, 538, 519, 5023, 538, 1931, 547, 8853, 269, 1411, 666, 1118, 513, 7848, 693, 1753, 676, 4946, 476, 16006, 513, 23188, 540, 6070, 547, 513, 7484, 540, 3636, 1216, 269, 1411, 666, 798, 713, 1079, 547, 1614, 2053, 543, 10956, 909, 547, 2185, 2053, 513, 1554, 269, 17865, 1216, 568, 513, 1434, 18789, 4781, 585, 5329, 707, 5023, 4743, 4195, 543, 2973, 563, 8448, 19047, 1879, 4635, 631, 1926, 31683, 454, 8448, 23123, 281, 4107, 5023, 342, 10449, 2270, 824, 6464, 602, 948, 547, 2333, 15808, 1272, 610, 2285, 621, 513, 14909, 2681, 269, 1411, 1058, 1224, 519, 6003, 5402, 547, 1118, 2386, 596, 917, 782, 540, 519, 5820, 538, 519, 1826, 596, 616, 1210, 269, 1403, 596, 723, 606, 8801, 5114, 621, 1223, 581, 1813, 547, 835, 540, 891, 6878, 563, 19547, 1120, 757, 281, 4826, 30320, 26349, 8665, 10905, 609, 23606, 543, 13897, 547, 1118, 873, 811, 19729, 269, 898, 779, 7150, 602, 789, 3138, 4923, 21225, 602, 814, 19017, 593, 4522, 282, 2705, 267, 713, 3409, 3884, 1406, 8185, 6462, 269, 5871, 28052, 757, 616, 7396, 593, 10297, 607, 9770, 1649, 15605, 622, 543, 9770, 3288, 1722, 331, 23253, 269, 1703, 616, 4145, 827, 519, 3106, 540, 10438, 891, 6464, 543, 930, 1004, 798, 1867, 8801, 6547, 563, 14503, 822, 832, 281, 14464, 7657, 1681, 786, 2285, 519, 5023, 31683, 621, 779, 2681, 543, 6492, 269, 1358, 1810, 1406, 3565, 547, 922, 2962, 610, 7145, 543, 949, 723, 8801, 6547, 563, 15430, 969, 2510, 281, 1452, 2061, 519, 2208, 540, 4551, 538, 519, 5023, 31683, 269, 5871, 29089, 2510, 616, 9770, 1649, 15605, 622, 610, 18861, 1706, 629, 523, 269, 1358, 1810, 1406, 3565, 547, 519, 2962, 540, 519, 5023, 31683, 563, 12850, 281, 4826, 568, 1031, 547, 23271, 543, 4163, 519, 824, 5820, 563, 2710, 11588, 4934, 933, 662, 519, 8779, 888, 2252, 596, 616, 17678, 543, 29781, 5781, 547, 2226, 707, 5959, 1072, 267, 3544, 540, 8156, 5739, 2068, 519, 2640, 540, 5023, 31683, 1810, 1406, 3100, 547, 581, 3226, 5363, 269, 4658, 945, 946, 5023, 31683, 585, 3983, 7362, 267, 538, 1880, 267, 1810, 1406, 1294, 1454, 4324, 538, 741, 2783, 269, 1358, 849, 949, 581, 29083, 741, 3983, 7362, 269, 10251, 267, 585, 519, 1034, 851, 267, 5023, 342, 10449, 1810, 1406, 2661, 909, 547, 519, 6994, 2213, 1728, 701, 563, 2691, 1031, 538, 14966, 609, 513, 2126, 1544, 609, 707, 11290, 267, 930, 949, 581, 2500, 267, 6382, 267, 6529, 547, 513, 1434, 2732, 267, 11453, 707, 4522, 267, 543, 19568, 547, 1832, 707, 4522, 2635, 269, 0, 2791, 1810, 1405, 2161, 799, 6464, 596, 616, 5461, 538, 2336, 288, 5616, 3406, 1210, 1412, 28090, 7998, 262, 607, 707, 3406, 2165, 786, 6556, 1082, 1357, 4609, 799, 2270, 513, 2603, 540, 1344, 827, 3339, 2634, 6464, 1572, 30088, 267, 543, 875, 20817, 538, 873, 666, 2014, 4965, 610, 812, 807, 610, 17299, 2589, 563, 2026, 2484, 607, 594, 723, 1044, 2111, 547, 3605, 972, 616, 1100, 2553, 547, 3313, 5666, 540, 1142, 540, 519, 30088, 513, 1268, 949, 723, 693, 1022, 942, 563, 305, 1430, 267, 621, 568, 676, 519, 946, 540, 930, 2241, 2055, 602, 513, 8990, 540, 519, 2949, 1533, 540, 513, 7606, 2790, 1072, 568, 1336, 269, 31999, 31520, 610, 824, 24004, 3740, 5574, 616, 1287, 1031, 538, 606, 3801, 547, 3142, 519, 30088, 1394, 883, 3666, 630, 3369, 7241, 814, 3361, 519, 19261, 1040, 0, 7712, 11543, 7115, 689, 519, 8168, 5742, 538, 476, 1960, 272, 267, 12907, 814, 5185, 1082, 13542, 269, 1306, 540, 2038, 476, 1001, 275, 267, 12907, 814, 1044, 538, 5176, 31934, 4655, 609, 6576, 543, 8109, 12907, 779, 605, 7304, 11701, 3021, 520, 1235, 269, 12907, 568, 849, 1753, 547, 3592, 476, 3393, 2929, 1004, 269, 769, 5147, 476, 1001, 279, 267, 936, 476, 272, 269, 276, 2929, 1004, 941, 24323, 19774, 267, 2495, 602, 789, 1185, 547, 4734, 741, 5321, 607, 513, 1267, 540, 519, 8165, 269, 10076, 1072, 538, 12907, 568, 4299, 676, 519, 11972, 1193, 1057, 538, 741, 2197, 563, 296, 1087, 1132, 8177, 532, 10076, 2657, 538, 12907, 454, 6624, 540, 1346, 2713, 538, 12907, 4308, 609, 2042, 899, 4160, 543, 4965, 267, 602, 11874, 3310, 741, 2790, 1072, 269, 1452, 2175, 616, 28978, 676, 24187, 269, 22893, 540, 12907, 723, 18808, 609, 519, 4539, 543, 14697, 8017, 540, 2112, 267, 1519, 25096, 540, 2828, 543, 1920, 2818, 269, 2368, 723, 1185, 547, 4734, 3297, 519, 4025, 789, 1289, 1753, 563, 1103, 1840, 267, 2168, 6937, 616, 849, 1419, 606, 3390, 269, 8409, 2713, 538, 2112, 10851, 610, 1256, 9864, 24044, 1922, 790, 10851, 267, 971, 607, 519, 1899, 540, 3346, 998, 5213, 1115, 330, 543, 700, 7795, 13089, 267, 616, 538, 3586, 8594, 269, 681, 5699, 476, 274, 267, 4968, 21127, 941, 7166, 689, 476, 1001, 275, 547, 476, 1001, 279, 563, 26045, 1072, 1416, 568, 849, 9184, 5622, 538, 12907, 269, 4438, 519, 8168, 5736, 267, 2790, 1072, 2152, 941, 1031, 607, 606, 28195, 547, 18035, 538, 607, 2643, 4548, 1346, 609, 18312, 2797, 4978, 689, 1346, 538, 1379, 269, 634, 29298, 540, 713, 21440, 6414, 2221, 267, 609, 1082, 26617, 540, 2618, 17226, 563, 1607, 9184, 5622, 7707, 839, 519, 2360, 540, 4160, 543, 4965, 269, 2290, 5619, 540, 476, 272, 267, 1822, 24323, 19774, 2043, 1336, 602, 476, 736, 2600, 540, 1346, 24323, 19774, 7985, 689, 26815, 4049, 547, 4049, 4160, 269, 4746, 267, 476, 1839, 2600, 11124, 689, 26815, 4049, 547, 4049, 4965, 269, 1452, 2338, 616, 3648, 2362, 982, 519, 6871, 540, 1004, 7092, 689, 4160, 610, 4965, 538, 519, 2136, 8003, 563, 763, 16663, 4478, 2790, 1072, 1033, 619, 930, 689, 21350, 6005, 741, 9620, 269, 634, 2339, 568, 2417, 7294, 607, 1004, 945, 4782, 547, 3717, 609, 5783, 3401, 616, 1631, 8572, 547, 798, 865, 1317, 1082, 3401, 723, 849, 19679, 856, 540, 13766, 269, 8409, 2713, 538, 3021, 520, 626, 11182, 616, 17792, 1569, 547, 513, 5626, 948, 3905, 1467, 269, 4746, 267, 909, 547, 476, 6507, 2600, 540, 519, 24323, 19774, 616, 4625, 27226, 540, 1022, 543, 782, 3029, 540, 3318, 948, 563, 16391, 3074, 11554, 547, 13724, 10076, 2657, 538, 12907, 454, 7419, 32019, 814, 513, 5985, 23793, 1982, 602, 6663, 547, 1683, 26447, 1489, 547, 519, 1004, 540, 12907, 269, 1452, 1367, 543, 1895, 2238, 616, 2966, 547, 1445, 593, 17212, 1324, 4160, 543, 4250, 267, 2152, 602, 616, 10731, 538, 519, 24360, 2127, 269, 6167, 32019, 779, 3646, 616, 2282, 519, 1899, 540, 3346, 543, 1683, 948, 585, 1453, 543, 741, 15637, 282, 476, 272, 267, 8064, 273, 1004, 941, 5280, 676, 891, 3646, 1282, 5130, 476, 1001, 280, 563, 9827, 267, 6167, 32019, 3964, 519, 27069, 3905, 1467, 585, 1312, 3656, 543, 5626, 8323, 269, 769, 476, 1001, 278, 267, 936, 476, 6246, 267, 1822, 7125, 941, 1500, 547, 519, 3905, 1467, 269, 901, 17752, 585, 948, 2488, 1454, 32571, 1489, 547, 1346, 538, 991, 563, 763, 14959, 267, 538, 9316, 609, 21977, 1072, 8128, 267, 849, 2813, 513, 5985, 2790, 1072, 4099, 547, 1683, 5626, 2533, 267, 1489, 543, 2069, 269, 634, 1982, 568, 2146, 2861, 269, 9122, 593, 519, 1967, 540, 519, 2185, 5985, 4559, 2066, 519, 4655, 2127, 267, 713, 1062, 949, 581, 8045, 593, 513, 3677, 4336, 607, 513, 2268, 547, 6963, 2790, 1072, 1416, 538, 12907, 563, 297, 25296, 22846, 2160, 267, 2059, 609, 7330, 2839, 267, 5063, 6192, 513, 1788, 602, 3323, 538, 4728, 476, 1001, 276, 538, 12907, 269, 634, 1374, 8179, 547, 2087, 519, 2790, 1072, 540, 2146, 2818, 543, 1382, 519, 2360, 602, 4655, 814, 1185, 593, 519, 2551, 563, 4415, 519, 948, 540, 891, 3906, 543, 811, 267, 23248, 267, 519, 2360, 540, 519, 21977, 6560, 593, 2790, 1072, 666, 581, 10970, 7007, 269, 634, 3292, 616, 2324, 547, 1265, 960, 762, 3435, 547, 2790, 1072, 588, 580, 5733, 543, 547, 1683, 8323, 585, 1346, 6849, 2152, 609, 2790, 1072, 538, 12907, 563, 1700, 8349, 2106, 5240, 727, 0, 1692, 666, 649, 946, 2029, 547, 1332, 938, 1378, 1426, 888, 763, 4028, 2208, 540, 4683, 5095, 5932, 2591, 585, 1426, 2504, 269, 2290, 3070, 602, 568, 5732, 811, 4264, 982, 1699, 2409, 568, 22297, 2504, 267, 538, 1880, 267, 1426, 2504, 676, 2043, 693, 1753, 269, 19663, 1426, 693, 1753, 568, 2009, 267, 855, 621, 568, 513, 1184, 602, 3340, 8404, 267, 1702, 543, 1983, 269, 634, 2319, 786, 960, 593, 519, 1374, 540, 513, 9300, 3760, 6322, 693, 4543, 2043, 538, 4683, 5054, 1332, 1426, 693, 1753, 676, 26655, 873, 827, 519, 2115, 540, 741, 2371, 543, 267, 1759, 593, 4683, 8105, 2853, 267, 676, 8220, 873, 609, 513, 3060, 540, 25210, 547, 2671, 1702, 543, 3132, 563, 1607, 1788, 6212, 593, 519, 12655, 4886, 17644, 281, 0, 19865, 607, 621, 12211, 547, 8376, 14727, 1484, 3296, 531, 543, 19976, 2090, 593, 519, 1198, 540, 1216, 3635, 538, 9013, 5642, 2530, 538, 5545, 2022, 5443, 641, 30167, 2021, 454, 1607, 22816, 756, 23697, 2985, 568, 606, 2079, 540, 519, 4760, 2376, 834, 15899, 3296, 531, 543, 19976, 2090, 593, 519, 1198, 540, 1216, 3635, 538, 9013, 5642, 2530, 538, 5545, 2022, 5443, 641, 30167, 2021, 257, 676, 17578, 4157, 1695, 4673, 1696, 620, 269, 630, 1960, 275, 264, 3097, 268, 476, 272, 4985, 454, 268, 476, 273, 7316, 568, 713, 1382, 689, 888, 268, 476, 274, 1548, 2186, 540, 1382, 729, 713, 888, 268, 476, 275, 3194, 10613, 454, 268, 476, 276, 11778, 543, 4681, 689, 519, 1353, 454, 268, 476, 277, 1548, 8753, 666, 649, 1491, 689, 713, 1382, 888, 268, 476, 278, 20480, 543, 2417, 10372, 454, 268, 476, 279, 4329, 1344, 543, 2200, 454, 268, 476, 280, 22108, 454, 302, 4614, 18576, 568, 513, 2068, 27537, 676, 513, 6175, 538, 5642, 7777, 5860, 543, 4222, 267, 1818, 873, 28221, 267, 17866, 267, 543, 811, 11630, 547, 9397, 543, 18655, 269, 634, 2530, 540, 5642, 5160, 568, 513, 1267, 540, 17441, 2242, 267, 610, 10638, 540, 6886, 971, 607, 7513, 543, 6171, 667, 269, 24942, 5860, 568, 6766, 676, 2789, 2188, 971, 607, 19021, 640, 267, 522, 652, 4088, 2157, 267, 2168, 2534, 267, 6484, 267, 543, 1272, 2511, 269, 769, 2489, 267, 2021, 616, 693, 2362, 1981, 982, 2367, 267, 1880, 1346, 540, 2022, 5443, 641, 30167, 2085, 269, 901, 1353, 593, 5545, 2022, 5443, 641, 30167, 2021, 12116, 519, 1198, 540, 1216, 3635, 593, 5642, 7777, 5860, 267, 543, 2436, 606, 3635, 1982, 10607, 519, 4656, 540, 1072, 543, 3232 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16731, 741, 3896, 585, 811, 593, 741, 17008, 267, 1519, 3818, 12656, 559, 543, 30339, 6142, 269, 2107, 1289, 630, 29710, 264, 476, 23417, 268, 29483, 275, 585, 513, 7693, 6142, 10839, 2221, 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 ]
[ 0, 258, 1548, 568, 1592, 888, 258, 1215, 547, 1711, 621, 888, 258, 1215, 547, 1689, 1871, 540, 2609, 3330, 513, 1592, 888, 258, 1215, 547, 1820, 2418, 888, 258, 1215, 547, 1820, 782, 2418, 693, 2899, 888, 258, 4208, 798, 649, 991, 8638, 693, 782, 286, 6902, 9239, 12849, 815, 22373, 6635, 330, 611, 3780, 345, 2580, 834, 11990, 2580, 834, 290, 5055, 790, 2580, 834, 30681, 2580, 834, 297, 659, 984, 19312, 1948, 276, 1714, 454, 1363, 1948, 476, 271, 17264, 476, 272, 11434, 476, 273, 1038, 476, 274, 1363, 476, 275, 454, 11133, 1499, 815, 1496, 272, 267, 476, 275, 267, 476, 7906, 267, 476, 5655, 267, 910, 276, 267, 476, 736, 316, 1948, 277, 1714, 454, 1038, 1948, 476, 476, 271, 476, 476, 272, 476, 476, 273, 825, 476, 274, 567, 476, 275, 567, 476, 276, 692, 11133, 1499, 314, 276, 316, 815, 476, 1789, 692, 1721, 2012, 538, 4408, 912, 825, 1820, 28442, 994, 0, 12163, 567, 25754, 910, 20822, 3252, 630, 325, 17313, 1510, 4408, 994, 825, 454, 12163, 3698, 9062, 3287, 2187, 825, 2132, 1535, 2608, 476, 273, 7531, 3698, 1599, 15461, 6958, 559, 614, 3287, 2187, 825, 952, 630, 343, 4939, 476, 273, 264, 2652, 476, 271, 912, 1038, 2132, 1535, 692, 2745, 9230, 14433, 1535, 281, 1535, 2608, 476, 273, 7565, 275, 264, 9239, 3240, 8217, 815, 1496, 273, 267, 476, 2190, 267, 476, 2641, 267, 476, 278, 267, 476, 736, 6540, 2745, 17338, 6600, 559, 614, 10857, 10033, 1535, 281, 1535, 4939, 476, 273, 2652, 476, 271, 267, 1250, 8217, 21875, 2745, 17338, 9852, 777, 10857, 10033, 1535, 281, 1535, 2608, 476, 273, 267, 1250, 8217, 4297, 2020, 3240, 8217, 6958, 2830, 1229, 815, 1496, 343, 585, 1535, 538, 1250, 8217, 952, 630, 343, 4939, 476, 273, 264, 2652, 476, 271, 2639, 0, 5814, 5515, 692, 577, 5366, 815, 3403, 2891, 3269, 1432, 4137, 1858, 596, 1616, 547, 2268, 888, 272, 269, 12384, 454, 273, 269, 25351, 4120, 454, 274, 269, 17781, 454, 275, 269, 21121, 454, 276, 269, 3004, 701, 2763, 454, 3269, 15419, 604, 630, 577, 5366, 2652, 1412, 272, 262, 2187, 825, 513, 815, 10581, 9272, 2891, 11767, 519, 2450, 540, 4009, 2427, 281, 27328, 825, 1820, 2891, 763, 1858, 540, 4009, 568, 3160, 547, 24333, 5515, 269, 19327, 15058, 5334, 13645, 5416, 4917, 0, 20701, 329, 5459, 269, 2903, 338, 27203, 338, 2970, 532, 264, 910, 1184, 795, 338, 2970, 532, 547, 5124, 1826, 692, 329, 5459, 269, 2903, 31526, 22437, 5793, 264, 910, 13907, 795, 5459, 689, 513, 3758, 454, 13376, 543, 7024, 607, 513, 1267, 540, 1505, 5124, 1826, 692, 20701, 5814, 795, 5459, 692, 28291, 815, 13634, 825, 834, 27583, 257, 2433, 834, 3719, 594, 4465, 1405, 798, 621, 256, 20350, 825, 834, 516, 3161, 14729, 792, 257, 2433, 476, 3422, 280, 2676, 825, 834, 342, 517, 318, 8113, 541, 257, 2433, 6936, 2676, 825, 834, 716, 832, 9899, 9497, 6635, 330, 611, 3780, 345, 654, 22119, 617, 2117, 5414, 330, 2580, 834, 310, 2723, 2280, 320, 654, 22119, 617, 2117, 5414, 330, 257, 13211, 825, 834, 321, 644, 1326, 257, 2433, 7183, 2676, 825, 834, 920, 323, 1080, 257, 2433, 13634, 2018, 834, 29715, 528, 257, 2433, 834, 6635, 330, 611, 3780, 345, 654, 22119, 617, 2117, 5414, 330, 20350, 2018, 834, 23116, 257, 2433, 834, 2704, 534, 8738, 3455, 20350, 2018, 834, 29434, 1807, 257, 2433, 834, 2304, 830, 1323, 574, 520, 3700, 4840, 2018, 7684, 454, 10926, 16780, 10757, 14303, 7205, 300, 990, 773, 815, 1412, 346, 257, 27583, 9899, 834, 3719, 594, 4465, 32075, 339, 798, 621, 8627, 2580, 834, 516, 3161, 14729, 792, 9899, 476, 3422, 280, 267, 834, 342, 517, 318, 8113, 541, 9899, 3020, 267, 834, 716, 832, 9899, 22373, 6635, 330, 611, 3780, 345, 654, 22119, 617, 2117, 5414, 330, 2580, 834, 310, 2723, 2280, 320, 654, 22119, 617, 2117, 5414, 330, 257, 3910, 834, 321, 644, 1326, 9899, 14275, 267, 834, 920, 323, 1080, 9899, 2715, 257, 29715, 528, 9899, 834, 6635, 330, 611, 3780, 345, 654, 22119, 617, 2117, 5414, 330, 2580, 834, 23116, 9899, 834, 2704, 534, 8738, 3455, 2580, 834, 29434, 1807, 9899, 834, 2304, 830, 1323, 574, 520, 3700, 257, 3686, 28847, 20657, 10757, 300, 990, 773, 815, 795, 5459, 269, 2903, 338, 263, 16780, 10757, 14303, 7205, 300, 990, 773, 2020, 5976, 1930, 2891, 338, 2217, 12459, 5459, 2580, 17683, 6889, 7473, 293, 268, 279, 8442, 607, 3758, 912, 825, 1267, 815, 795, 5459, 269, 2903, 31526, 2020, 0, 18257, 3758, 2012, 2433, 3288, 680, 659, 1014, 18258, 692, 20373, 2433, 901, 3732, 2982, 875, 547, 1265, 3288, 680, 659, 1014, 540, 606, 3239, 692, 1607, 568, 5124, 4528, 540, 713, 5850, 2433, 5291, 2517, 13449, 29764, 269, 527, 5408, 345, 2593, 7933, 665, 14121, 583, 3645, 338, 270, 19112, 2889, 322, 270, 19112, 10520, 270, 5055, 2897, 318, 28072, 270, 5055, 2897, 318, 28072, 11258, 692, 25583, 2433, 10670, 1676, 692, 19119, 2433, 6258, 547, 1265, 3288, 680, 659, 1014, 540, 606, 3239, 692, 5825, 720, 2433, 9226, 3288, 680, 659, 1014, 18258, 8528, 24309, 676, 2433, 2806, 573, 918, 269, 630, 629, 573, 19207, 2006, 273, 287, 326, 21166, 2593, 264, 2073, 16731, 1930, 29764, 7090, 269, 24108, 4944, 582, 2593, 585, 811, 18862, 15981, 692, 5814, 20956, 273, 454, 5814, 11885, 607, 5286, 692, 330, 14533, 15481, 815, 476, 274, 454, 29173, 815, 476, 272, 454, 23169, 815, 476, 271, 454, 9536, 3704, 815, 20956, 273, 5861, 309, 318, 1626, 306, 692, 19112, 815, 20956, 273, 269, 574, 1348, 3488, 332, 612, 328, 276, 27970, 5073, 19112, 815, 20956, 273, 14371, 320, 11701, 7922, 584, 263, 19112, 267, 263, 274, 267, 274, 1070, 271, 994, 326, 2001, 815, 20956, 273, 6983, 26404, 21760, 263, 19112, 22698, 341, 273, 269, 4596, 299, 3036, 29758, 16165, 273, 294, 6938, 312, 2020, 326, 2001, 9078, 777, 815, 20956, 273, 11482, 320, 680, 659, 1014, 14116, 2001, 267, 9536, 3704, 267, 802, 1125, 815, 17830, 15481, 267, 29173, 815, 4336, 267, 23169, 815, 18232, 994, 323, 560, 815, 20956, 273, 26769, 3200, 306, 7051, 27028, 14116, 2001, 9078, 777, 2020, 29764, 273, 269, 574, 19651, 3488, 5055, 680, 659, 1014, 3299, 323, 560, 994, 29764, 273, 9884, 7159, 7659, 263, 271, 994, 29764, 273, 6155, 652, 5797, 5472, 20360, 3298, 4590, 0, 18257, 3758, 2012, 2433, 5276, 6958, 559, 614, 18258, 692, 20373, 2433, 901, 3732, 2982, 875, 547, 1711, 513, 5276, 6882, 543, 4019, 28708, 692, 1607, 568, 5124, 4528, 540, 713, 5850, 2433, 5291, 2517, 13449, 29764, 269, 527, 5408, 345, 2593, 7933, 665, 14121, 583, 3645, 338, 270, 19112, 2889, 322, 270, 19112, 10520, 11721, 559, 614, 318, 273, 323, 11721, 559, 614, 318, 273, 323, 11258, 258, 16344, 614, 268, 273, 323, 692, 25583, 2433, 10670, 1676, 692, 19119, 2433, 6258, 547, 476, 272, 264, 1711, 513, 17830, 543, 476, 273, 264, 4019, 28708, 692, 5825, 720, 2433, 9226, 5276, 6958, 559, 614, 18258, 8528, 24309, 676, 2433, 2806, 573, 918, 269, 630, 629, 573, 19207, 2006, 273, 287, 326, 21166, 2593, 264, 2073, 16731, 1930, 29764, 7090, 269, 24108, 4944, 582, 2593, 585, 811, 18862, 15981, 692, 5814, 20956, 273, 454, 5814, 11885, 607, 5286, 692, 19112, 815, 20956, 273, 269, 574, 1348, 3488, 24610, 27970, 17210, 21123, 528, 815, 11196, 272, 16427, 272, 994, 23169, 815, 476, 271, 454, 9536, 3704, 815, 910, 272, 692, 785, 815, 476, 271, 692, 6112, 263, 12148, 2187, 8931, 825, 20956, 273, 269, 574, 19651, 3488, 13548, 3299, 19112, 994, 825, 737, 815, 20956, 273, 9884, 7159, 7659, 263, 4335, 2020, 825, 952, 737, 2525, 2767, 912, 1038, 2736, 692, 825, 17830, 15481, 815, 476, 274, 1341, 476, 273, 16732, 967, 260, 276, 3738, 567, 1948, 3843, 585, 17830, 7306, 1496, 274, 267, 276, 267, 278, 267, 280, 267, 1556, 2639, 825, 17830, 815, 5286, 269, 2158, 9230, 330, 14533, 15481, 267, 330, 14533, 15481, 1070, 12639, 269, 15615, 3953, 19422, 330, 14533, 15481, 265, 330, 14533, 15481, 2020, 825, 20956, 273, 8807, 559, 614, 273, 291, 263, 19112, 267, 9536, 3704, 267, 330, 14533, 267, 19112, 267, 21123, 528, 267, 23169, 22698, 341, 273, 11065, 16704, 2207, 32707, 9128, 288, 17109, 994, 8931, 825, 967, 815, 967, 266, 272, 692, 29764, 273, 6155, 652, 5797, 5472, 20360, 3298, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 258, 815, 7529, 7383, 2838, 13838, 815, 13117, 4499, 692, 258, 585, 1210, 1062, 12981, 454, 5814, 19523, 692, 258, 585, 1210, 15259, 12981, 899, 1592, 1463, 7685, 3092, 454, 5814, 15259, 692, 258, 585, 6310, 3252, 16887, 1319, 686, 1182, 454, 5814, 11885, 607, 5286, 692, 258, 585, 2489, 13004, 454, 5228, 2979, 1104, 2608, 8528, 3698, 2215, 1275, 3799, 2187, 14851, 562, 2652, 476, 272, 912, 453, 16596, 8771, 454, 453, 19197, 562, 2999, 476, 275, 912, 453, 16596, 6936, 454, 453, 19197, 562, 260, 273, 2652, 476, 271, 912, 453, 16596, 8771, 454, 453, 19197, 562, 2999, 476, 280, 912, 453, 16596, 6936, 454, 453, 19197, 562, 260, 274, 2652, 476, 271, 912, 453, 16596, 8771, 454, 28432, 912, 453, 453, 3916, 527, 815, 21762, 3799, 994, 453, 453, 335, 815, 476, 276, 454, 453, 453, 6112, 533, 10922, 3970, 912, 4848, 14851, 562, 260, 335, 2652, 476, 271, 912, 15235, 16596, 8771, 454, 4848, 14851, 562, 260, 263, 335, 266, 273, 264, 2652, 476, 271, 912, 15235, 16596, 8771, 454, 4848, 453, 335, 6834, 476, 277, 454, 16596, 6936, 7531, 3698, 1003, 5091, 643, 30583, 3799, 267, 1440, 1307, 2187, 453, 13440, 867, 815, 31460, 453, 15965, 30583, 815, 476, 272, 454, 28768, 22610, 6305, 538, 22136, 912, 453, 453, 12248, 815, 476, 271, 454, 453, 453, 6112, 562, 11203, 476, 271, 543, 562, 260, 18905, 2652, 476, 271, 912, 4848, 453, 333, 815, 562, 270, 18905, 454, 4848, 453, 339, 787, 912, 15235, 453, 13440, 867, 314, 18905, 316, 6834, 476, 272, 454, 4848, 453, 21955, 912, 15235, 453, 13440, 867, 314, 18905, 316, 815, 476, 272, 692, 22610, 1883, 538, 2594, 912, 453, 453, 15965, 30583, 815, 16975, 16732, 13440, 867, 314, 4486, 316, 1341, 476, 272, 2020, 16596, 16975, 692, 3916, 527, 815, 3403, 2891, 15893, 540, 16975, 2838, 2433, 19515, 258, 5352, 519, 1592, 540, 1101, 476, 4335, 6305, 2338, 454, 328, 815, 476, 272, 454, 12248, 815, 476, 271, 454, 1440, 1307, 815, 11713, 6112, 1293, 2999, 476, 4335, 912, 14851, 2215, 1275, 9217, 264, 10778, 453, 453, 12248, 6834, 476, 272, 454, 453, 453, 258, 1820, 1775, 2676, 453, 453, 1440, 1307, 6910, 9217, 994, 453, 328, 6834, 476, 272, 692, 15965, 30583, 815, 476, 272, 454, 328, 815, 476, 272, 454, 6112, 16975, 2999, 3970, 912, 453, 333, 815, 1775, 16732, 328, 266, 272, 8358, 273, 454, 453, 15965, 30583, 815, 1003, 5091, 643, 30583, 3799, 267, 1440, 1307, 994, 453, 328, 6834, 476, 272, 454, 13537, 562, 267, 16975, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 258, 815, 7529, 7383, 2838, 13838, 815, 13117, 4499, 692, 258, 585, 1210, 1062, 12981, 454, 5814, 19523, 692, 258, 585, 1210, 15259, 12981, 899, 1592, 1463, 7685, 3092, 454, 5814, 15259, 692, 258, 585, 6310, 3252, 16887, 1319, 686, 1182, 454, 5814, 11885, 607, 5286, 692, 258, 585, 2489, 13004, 454, 5228, 2979, 1104, 2608, 692, 11907, 815, 13634, 1038, 1412, 821, 262, 2433, 476, 274, 267, 3097, 1038, 1412, 18314, 262, 2433, 476, 274, 267, 3097, 1038, 1412, 22764, 262, 2433, 476, 276, 267, 3097, 1038, 1412, 27917, 262, 2433, 476, 275, 267, 3097, 1038, 1412, 325, 633, 9166, 476, 275, 267, 3097, 1038, 1412, 338, 1460, 9166, 476, 274, 2676, 1038, 1412, 572, 1597, 9166, 276, 2676, 1038, 1412, 324, 697, 9166, 276, 2676, 1038, 1412, 333, 710, 9166, 275, 2676, 1038, 1412, 1084, 9166, 274, 2676, 1038, 1412, 25279, 1597, 9166, 277, 2676, 1038, 1412, 13512, 10679, 9166, 277, 2676, 1038, 1412, 628, 597, 10117, 262, 2433, 476, 279, 2676, 1038, 1412, 27917, 10117, 262, 2433, 476, 279, 2676, 1038, 1412, 325, 604, 10117, 262, 2433, 476, 278, 2676, 1038, 1412, 338, 4869, 8696, 262, 2433, 476, 278, 2676, 1038, 1412, 572, 1203, 8696, 262, 2433, 476, 280, 2676, 1038, 1412, 324, 697, 8696, 262, 2433, 476, 279, 2676, 1038, 1412, 333, 31106, 262, 2433, 476, 279, 2676, 1038, 1412, 13512, 4868, 262, 2433, 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 ]
[ 922, 27147, 540, 519, 631, 330, 1724, 585, 519, 17620, 563, 763, 631, 330, 1724, 4679, 1085, 719, 2879, 760, 619, 685, 2039, 676, 10199, 476, 4968, 7397, 543, 786, 946, 519, 1547, 4968, 12736, 17998, 13804, 636, 1608, 9200, 5180, 267, 513, 18219, 10286, 1788, 850, 609, 5488, 18665, 14794, 6991, 2443, 4162, 602, 5447, 13149, 2879, 23803, 12588, 609, 519, 772, 2529, 269, 8136, 543, 7981, 15051, 16710, 563, 10527, 1547, 4968, 12736, 17998, 13804, 636, 5180, 786, 1685, 1732, 982, 519, 1699, 476, 278, 269, 7830, 24114, 993, 15879, 538, 8184, 267, 2810, 519, 13149, 10965, 23803, 779, 1101, 5180, 5506, 540, 5734, 2223, 1767, 12751, 654, 1551, 656, 20229, 476, 274, 25414, 6022, 345, 26973, 267, 15506, 30119, 25511, 1676, 585, 32691, 9751, 15506, 30119, 269, 968, 1607, 22010, 568, 606, 6909, 3094, 543, 786, 1450, 2879, 760, 619, 547, 4497, 9072, 693, 3152, 9883, 3034, 763, 631, 330, 1724, 786, 849, 581, 2361, 539, 609, 606, 8476, 1554, 23726, 602, 2488, 3152, 3172, 2305, 2039, 543, 606, 4824, 1427, 1834, 563, 22154, 2879, 23803, 29461, 786, 1450, 3057, 1149, 547, 556, 1263, 720, 9072, 5488, 609, 5730, 1279, 24365, 3595, 1247, 9363, 10703, 4705, 693, 782, 2053, 2223, 1767, 590, 25885, 269, 11969, 344, 7605, 956, 267, 10829, 4815, 27533, 10965, 23803, 3427, 14357, 543, 631, 5425, 290, 561, 807, 2581, 563, 10527, 1007, 1554, 23726, 2636, 585, 2318, 8446, 540, 14763, 693, 3152, 9883, 267, 543, 621, 814, 513, 7470, 16654, 1427, 1834, 602, 2636, 585, 4028, 556, 1263, 1771, 1510, 2348, 547, 3866, 11941, 610, 2048, 3835, 685, 1510, 513, 4704, 1448, 2223, 646, 1767, 269, 968, 4415, 713, 1826, 540, 14049, 538, 519, 18239, 267, 649, 786, 2333, 938, 29723, 1275, 543, 581, 2111, 547, 10703, 531, 938, 4087, 1317, 649, 616, 2870, 513, 17280, 1063, 721, 543, 519, 10546, 3034, 300, 5425, 290, 6192, 1715, 16811, 9751, 585, 519, 631, 330, 1724, 609, 513, 3444, 3296, 540, 3057, 1149, 689, 3742, 1673, 14280, 267, 15944, 543, 2866, 4559, 538, 2038, 4989, 476, 1001, 279, 563, 10527, 2879, 760, 619, 8604, 547, 2731, 5660, 519, 1007, 7207, 602, 2097, 609, 713, 29461, 543, 23726, 2223, 1767, 1788, 11464, 12650, 269, 7671, 10515, 335, 7637, 269, 968, 5475, 519, 1101, 1554, 593, 519, 2039, 267, 789, 941, 4421, 3034, 1103, 513, 942, 1141, 2029, 267, 993, 32099, 543, 1507, 7916, 14049, 1949, 616, 14027, 693, 606, 5051, 4028, 2557, 267, 621, 568, 5393, 1271, 547, 2327, 519, 13149, 17620, 568, 693, 519, 21282, 540, 22876, 1005, 543, 2361, 532, 1007, 543, 4824, 14049, 1949, 547, 519, 5665, 4229, 267, 1767, 28711, 1731, 514, 563, 2108, 2710, 532, 713, 6087, 519, 17620, 547, 2226, 519, 5413, 936, 922, 14763, 593, 519, 25071, 267, 607, 1134, 607, 547, 5150, 922, 11967, 2990, 607, 519, 4028, 6433, 3210, 3196, 585, 519, 2136, 2276, 2223, 646, 1767, 563, 21080, 2006, 5981, 2107, 638, 21289, 540, 519, 476, 10170, 560, 8232, 17086, 8293, 611, 1258, 31273, 519, 1985, 5108, 540, 3440, 2065, 24743, 1282, 513, 7450, 1786, 2286, 3635, 693, 966, 766, 5794, 10414, 12476, 538, 20274, 20029, 269, 476, 1428, 269, 634, 5794, 10414, 8232, 17086, 4741, 568, 12902, 856, 519, 1007, 31238, 547, 3354, 4229, 4559, 269, 630, 25938, 1640, 5794, 2006, 13177, 9197, 592, 12458, 597, 10414, 994, 763, 5794, 10414, 814, 1044, 11112, 713, 4832, 269, 3245, 3246, 519, 5767, 1362, 540, 16461, 1080, 547, 6611, 10414, 547, 29307, 1732, 17501, 1560, 24915, 547, 2021, 2011, 5443, 267, 621, 4667, 899, 519, 2149, 832, 540, 519, 6607, 616, 2731, 3168, 547, 4228, 543, 1020, 593, 922, 7029, 547, 922, 3196, 269, 901, 2501, 1310, 519, 7903, 538, 476, 1001, 279, 585, 5794, 10414, 9718, 619, 547, 1205, 8242, 9604, 267, 2059, 609, 15428, 2866, 543, 8516, 4441, 563, 3086, 267, 3354, 2011, 5443, 616, 1985, 538, 1899, 547, 4309, 513, 7833, 22010, 269, 17652, 267, 789, 3580, 581, 9783, 1007, 2027, 522, 1186, 6438, 31238, 269, 901, 1985, 5108, 540, 3440, 2065, 24743, 568, 1175, 519, 5767, 11036, 602, 519, 5794, 10414, 568, 2921, 547, 2327, 922, 10986, 3788, 2922, 563, 1607, 1007, 24743, 568, 2469, 547, 5372, 519, 4587, 543, 2484, 1447, 14194, 2194, 762, 11628, 10395, 520, 4477, 5471, 269, 634, 589, 6224, 568, 1018, 3354, 4229, 4867, 5957, 267, 543, 1082, 2011, 5443, 723, 5360, 7134, 827, 922, 13557, 543, 2597, 269, 17006, 547, 519, 2591, 568, 602, 519, 589, 6224, 568, 2966, 585, 2666, 4559, 267, 865, 2011, 5443, 723, 17388, 609, 621, 267, 543, 538, 930, 2665, 267, 723, 1185, 547, 28459, 543, 12189, 621, 609, 4439, 5652, 23937, 547, 9585, 1114, 5692, 5036, 563, 8253, 1152, 786, 519, 1007, 24743, 2097, 609, 1732, 14950, 3429, 267, 3710, 2987, 7841, 902, 547, 3362, 8936, 17960, 267, 855, 789, 3580, 849, 581, 14402, 543, 16830, 269, 634, 5794, 10414, 8232, 17086, 4741, 568, 1631, 11488, 856, 1007, 3440, 2065, 31238, 607, 621, 11775, 856, 519, 589, 6224, 563, 763, 476, 10170, 560, 8232, 17086, 8293, 611, 1258, 267, 4092, 693, 966, 766, 5794, 10414, 12476, 538, 20274, 267, 729, 519, 1101, 27805, 1258, 547, 4309, 519, 24743, 269, 17652, 2011, 5443, 10876, 786, 4309, 519, 22010, 563, 2304, 5794, 10414, 2046, 5305, 1767, 602, 519, 3355, 3210, 547, 519, 1007, 24743, 814, 1044, 2318, 269, 9457, 590, 25885, 269, 11023, 787, 331, 19159, 267, 476, 10170, 560, 590, 12396, 17825, 543, 22026, 2706, 23734, 550, 267, 1767, 602, 519, 1007, 4528, 568, 519, 968, 2865, 26227, 24743, 892, 646, 779, 12816, 538, 476, 866, 1296, 563, 763, 31238, 616, 851, 540, 519, 5794, 10414, 8232, 17086, 6513, 11036, 547, 2413, 1125, 711, 1175, 14049, 1949, 855, 849, 1367, 8825, 10591, 269, 32087, 538, 713, 29295, 568, 20314, 1890, 1489, 3937, 543, 11766, 762, 10618, 1949, 267, 1312, 540, 799, 786, 581, 14063, 547, 6707, 9396, 908, 519, 10546, 538, 2104, 7526, 269, 769, 519, 2104, 267, 519, 5794, 10414, 4566, 547, 5066, 856, 513, 9241, 15428, 631, 1240, 22606, 1688, 30516, 1062, 267, 631, 275, 288, 272, 14213, 29461, 267, 631, 8099, 288, 272, 10859, 22052, 11703, 8856, 6278, 29461, 267, 631, 17168, 288, 272, 575, 1066, 1228, 7438, 7815, 267, 543, 22606, 267, 27249, 1655, 338, 563, 14071, 2461, 7114, 32330, 4162, 540, 519, 1655, 1367, 3937, 2872, 814, 547, 2709, 693, 519, 1655, 1871, 547, 3035, 32301, 2066, 519, 3196, 2223, 1767, 700, 339, 269, 2051, 269, 31550, 17880, 11169, 267, 589, 12396, 15598, 8689, 540, 8298, 2524, 269, 968, 1607, 4674, 568, 15747, 538, 5329, 4347, 11367, 2429, 519, 3354, 4229, 13055, 4712, 543, 24037, 609, 27147, 540, 519, 1034, 5969, 12967, 543, 5499, 3937, 2139, 538, 1931, 547, 9585, 13485, 9108, 543, 3927, 3034, 4322, 2242, 782, 2097, 1310, 519, 5794, 10414, 779, 5729, 540, 519, 4347, 2658, 476, 1001, 280, 5751, 267, 1141, 519, 3028, 5342, 513, 2143, 543, 3573, 2689, 540, 782, 3354, 4229, 269, 901, 2689, 8268, 2127, 602, 1223, 581, 4824, 2390, 267, 1312, 538, 2474, 540, 3937, 543, 10591, 547, 12485, 267, 2866, 267, 543, 2489, 27907, 25242, 269, 1677, 4266, 267, 519, 5794, 10414, 814, 6707, 5249, 998, 936, 476, 12010, 1808, 3688, 602, 2877, 547, 1689, 543, 814, 6170, 3592, 476, 271, 2929, 547, 9337, 741, 10591, 563, 763, 5794, 10414, 4867, 2361, 827, 476, 1839, 267, 1822, 3742, 1673, 14280, 3354, 4229, 2011, 5443, 269, 1703, 616, 606, 3606, 476, 1724, 267, 1822, 538, 519, 5794, 2817, 15050, 543, 15944, 3334, 269, 2986, 519, 4229, 476, 4343, 267, 1822, 2011, 5443, 267, 827, 476, 7176, 2600, 616, 21821, 539, 269, 901, 20383, 519, 3003, 7936, 540, 519, 5794, 10414, 609, 519, 8136, 779, 1769, 652, 1769, 26462, 1770, 563, 289, 3419, 269, 2637, 269, 1656, 16699, 570, 1638, 657, 267, 4876, 3354, 4229, 11464, 267, 1767, 602, 519, 5794, 10414, 814, 968, 1410, 6244, 819, 776, 5072, 2223, 543, 602, 519, 7936, 568, 968, 320, 11100, 1063, 1769, 26462, 543, 513, 4108, 7128, 2754, 3034, 8624, 937, 1947, 267, 891, 2462, 2242, 616, 4543, 519, 3028, 2744, 2011, 27166, 936, 519, 9263, 10779, 776, 602, 1223, 5732, 10460, 513, 2462, 3463, 547, 519, 4108, 269, 1306, 519, 5794, 10414, 5170, 547, 1413, 4724, 519, 2104, 543, 519, 10171, 540, 7526, 609, 2901, 6576, 610, 3624, 267, 519, 5794, 10414, 2115, 547, 581, 2111, 547, 4584, 909, 519, 1793, 871, 17420, 4464, 11546, 23903, 27805, 6425, 3079, 540, 13461, 593, 2666, 4229, 269, 901, 1007, 24743, 22010, 568, 2943, 1776, 1900, 547, 1818, 2386, 602, 666, 4755, 563, 2467, 779, 1945, 11509, 827, 1373, 513, 27585, 2443, 543, 1100, 267, 649, 1810, 1406, 1611, 30908, 8584, 1922, 1515, 2000, 8014, 11325, 268, 615, 1922, 324, 564, 2186, 540, 11509, 269, 9737, 519, 7381, 8941, 540, 24123, 23339, 543, 26007, 540, 575, 548, 5446, 267, 32219, 17015, 540, 24915, 267, 519, 1272, 540, 513, 27585, 814, 1044, 1500, 883, 1945, 1178, 837, 982, 621, 2965, 729, 563, 763, 7287, 547, 1491, 909, 18156, 543, 13104, 543, 2661, 519, 1272, 540, 513, 27585, 5612, 4422, 856, 519, 6885, 2899, 596, 1451, 513, 2370, 811, 827, 1018, 602, 1272, 729, 2965, 899, 269, 2755, 707, 519, 1995, 540, 5679, 662, 11856, 9867, 7494, 1063, 25267, 267, 1100, 2339, 799, 7333, 1676, 596, 16004, 267, 789, 782, 3838, 835, 1455, 2298, 281, 1272, 6366, 13050, 647, 22486, 563, 1691, 1296, 540, 2866, 543, 596, 2461, 1175, 2016, 513, 8799, 1273, 593, 519, 1394, 543, 6148, 513, 4062, 540, 2244, 2443, 711, 513, 14500, 267, 1498, 267, 1317, 1346, 616, 7199, 563, 7312, 3460, 2356, 3459, 693, 607, 1762, 607, 5722, 1296, 2025, 454, 2005, 7012, 1406, 7357, 7543, 585, 513, 32066, 2389, 29354, 21351, 1874, 547, 581, 6444, 585, 30493, 543, 4473, 538, 4567, 267, 855, 602, 729, 9765, 5944, 4686, 630, 1721, 4128, 649, 3580, 1205, 883, 16172, 1040, 1280, 519, 1034, 851, 267, 29843, 941, 3622, 616, 4535, 883, 519, 1909, 269, 1403, 707, 4651, 729, 513, 27585, 610, 952, 596, 941, 540, 15626, 4332, 855, 2484, 689, 519, 1899, 540, 19588, 267, 5679, 662, 11856, 729, 585, 596, 563, 1607, 5921, 602, 267, 585, 519, 1034, 851, 267, 689, 519, 4090, 540, 707, 4332, 267, 596, 8910, 581, 4397, 547, 1831, 513, 27585, 543, 4339, 585, 707, 18459, 269, 634, 1184, 3335, 3459, 693, 2085, 5722, 269, 1411, 8910, 581, 2016, 1055, 547, 513, 15626, 547, 1451, 607, 1454, 607, 596, 1223, 269, 634, 2298, 540, 713, 6689, 26523, 539, 7357, 593, 519, 627, 15501, 540, 1767, 15626, 269, 3973, 267, 693, 2085, 476, 1691, 267, 596, 8910, 1831, 513, 2695, 790, 563, 306, 638, 2231, 941, 267, 9247, 267, 22631, 585, 1697, 29843, 945, 8910, 798, 782, 540, 519, 18473, 610, 27217, 4247, 269, 2142, 513, 27585, 779, 2144, 8681, 7911, 585, 5722, 811, 1296, 267, 543, 596, 3580, 6368, 7118, 707, 5679, 662, 11856, 563, 4263, 2547, 519, 795, 24065, 532, 1131, 581, 1187, 7498, 2791, 2461, 798, 2484, 811, 982, 1175, 8165, 2443, 543, 9039, 540, 621, 729, 1187, 563, 18455, 513, 27585, 5921, 2484, 811, 982, 1175, 6029, 909, 547, 798, 6370, 8164, 2040, 3000, 539, 676, 707, 9114, 613, 269, 2311, 2053, 540, 2112, 267, 610, 952, 741, 1297, 4769, 1406, 1205, 1572, 547, 979, 4339, 538, 930, 6370, 267, 789, 941, 4397, 547, 581, 2199, 3401, 1851, 519, 1804, 32066, 2486, 563, 3383, 267, 1491, 782, 1346, 1296, 540, 1565, 547, 4339, 543, 12235, 11313, 655, 856, 519, 6885, 267, 1317, 596, 2461, 1631, 519, 1291, 16027, 2394, 2576, 16976, 547, 986, 573, 707, 8498, 269, 12769, 31531, 267, 596, 8910, 798, 7128, 10279, 543, 267, 811, 1419, 267, 596, 8910, 581, 519, 18657, 1807, 540, 2199, 13882, 267, 855, 602, 779, 827, 621, 2394, 621, 779, 5880, 8172, 942, 563, 26170, 519, 1655, 2736, 1524, 585, 875, 29749, 669, 2526, 787, 2965, 729, 267, 1224, 5213, 2372, 1460, 1774, 543, 3314, 602, 621, 729, 2854, 17543, 547, 581, 513, 24337, 563, 2791, 1185, 547, 1246, 513, 7453, 3009, 540, 968, 577, 2526, 787, 7536, 763, 2262, 968, 577, 2526, 787, 892, 24283, 689, 519, 6196, 3943, 2262, 267, 968, 3832, 1998, 24809, 892, 799, 5921, 968, 1817, 572, 2006, 1848, 3683, 942, 267, 519, 7086, 656, 29843, 267, 3335, 513, 1598, 728, 9640, 267, 3576, 593, 741, 1378, 3009, 540, 7881 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14434, 267, 6886, 543, 8324, 267, 3976, 4543, 547, 2569, 4220, 540, 2295, 2068, 269, 17006, 15708, 1107, 2523, 30207, 267, 22229, 267, 3109, 11241, 543, 678, 5684, 11241, 547, 707, 3232, 2732, 568, 606, 2500, 1505, 547, 16578, 19140, 2305, 543, 6175, 6553, 1247, 7863, 1996, 9025, 10108, 563, 2662, 1961, 9274, 971, 607, 6960, 7573, 267, 28113, 267, 30383, 267, 24061, 267, 11369, 342, 17742, 543, 844, 29184, 616, 1434, 2959, 540, 20249, 602, 1404, 513, 1804, 1909, 538, 15725, 1973, 2604, 543, 2295, 1072, 269, 14109, 1074, 1782, 547, 16556, 28113, 593, 15446, 327, 584, 1206, 543, 25235, 568, 606, 2653, 1259, 547, 6451, 2898, 9274, 883, 707, 3232, 6980, 563, 4407, 519, 8241, 26678, 13832, 15565, 476, 272, 1107, 476, 274, 32122, 540, 16738, 267, 5798, 267, 3165, 267, 543, 22053, 610, 10365, 1169, 1554, 267, 12145, 9268, 16469, 630, 324, 3052, 1421, 8423, 543, 28019, 264, 616, 1898, 547, 2057, 1072, 5829, 4220, 563, 23613, 538, 15060, 268, 274, 9761, 7408, 267, 13687, 543, 27966, 666, 849, 2539, 1973, 9600, 1572, 27831, 1938, 1247, 11689, 2358, 12150, 2295, 18819, 269, 1403, 596, 1810, 1406, 3548, 1454, 16872, 267, 3165, 3282, 9360, 616, 1776, 4781, 547, 3489, 707, 3232, 9570, 540, 15060, 268, 274, 9761, 7408, 269, 1879, 8600, 5779, 8286, 267, 1118, 2386, 547, 946, 2370, 15459, 610, 1098, 19339, 3282, 593, 16738, 543, 3165, 1510, 2960, 585, 1655, 2640, 563, 4462, 4148, 822, 10696, 5144, 267, 15446, 327, 4669, 543, 10381, 454, 6944, 9009, 547, 2442, 3661, 267, 1072, 2640, 2404, 609, 10683, 3536, 8831, 2484, 3564, 2679, 543, 4509, 2635, 7633, 543, 4522, 269, 28900, 14095, 609, 5567, 971, 607, 7513, 543, 3940, 267, 5144, 2472, 267, 1519, 1346, 602, 616, 2362, 538, 3170, 267, 616, 2404, 609, 513, 4389, 1981, 540, 9025, 2068, 269, 1703, 616, 1082, 2081, 547, 6451, 10683, 883, 707, 3232, 2732, 267, 1519, 3248, 268, 14109, 1074, 1782, 10381, 593, 18437, 454, 268, 17006, 21100, 540, 10381, 538, 32409, 610, 12109, 1186, 454, 268, 3117, 11167, 811, 5144, 610, 15446, 327, 4669, 2861, 5347, 625, 454, 30144, 9600, 543, 11041, 454, 17843, 2010, 540, 9600, 666, 1764, 707, 2295, 8335, 1107, 15459, 3170, 666, 3648, 6318, 519, 1981, 540, 2295, 2068, 267, 1247, 1395, 10494, 18260, 9600, 723, 1044, 5532, 547, 4389, 2157, 540, 8501, 269, 5253, 609, 1164, 2157, 540, 2635, 9600, 971, 607, 10808, 267, 5452, 267, 543, 19146, 15606, 616, 2539, 538, 2157, 540, 968, 21112, 892, 25928, 8501, 543, 666, 948, 547, 2149, 707, 2295, 269, 5502, 540, 1210, 7423, 543, 14432, 5986, 11041, 267, 2119, 824, 8925, 971, 607, 14462, 267, 666, 7637, 267, 24113, 610, 30011, 3282, 593, 25235, 267, 3694, 543, 11273, 19787, 269, 3680, 17310, 267, 13869, 17830, 267, 543, 13869, 11041, 267, 799, 616, 782, 1164, 538, 15459, 3170, 563, 15463, 2125, 543, 14546, 454, 12441, 596, 917, 602, 519, 3328, 8241, 22655, 5176, 5595, 519, 2179, 540, 6070, 602, 568, 2838, 585, 1434, 1072, 286, 3117, 11167, 1932, 1454, 6070, 666, 1291, 547, 1164, 1973, 2604, 543, 606, 5044, 540, 2295, 5829, 22074, 269, 2755, 4227, 519, 2179, 540, 6070, 3773, 547, 707, 5986, 568, 513, 1434, 1101, 1900, 267, 1454, 540, 519, 6070, 596, 3548, 2965, 2501, 689, 27574, 610, 9268, 3536, 269, 1924, 267, 1118, 2386, 547, 23396, 856, 891, 3688, 609, 4195, 267, 796, 15263, 539, 3536, 899, 4829, 543, 5388, 269, 26451, 11922, 543, 14546, 616, 606, 5140, 1259, 547, 1039, 30993, 547, 707, 6980, 1510, 8380, 707, 1072, 593, 519, 1899, 563, 1432, 3536, 1058, 594, 723, 1447, 540, 888, 288, 7059, 2732, 2882, 711, 1175, 4946, 2295, 268, 11794, 3536, 267, 855, 849, 4227, 519, 6981, 540, 1164, 5666, 540, 6070, 267, 4006, 267, 15459, 3170, 267, 543, 15568, 19719, 269, 634, 1739, 616, 513, 1592, 540, 3536, 547, 2057, 3248, 268, 645, 8898, 5370, 454, 268, 6713, 539, 5779, 454, 268, 21690, 16098, 454, 268, 6875, 12537, 1426, 630, 292, 3052, 1421, 16741, 267, 3276, 7970, 267, 3092, 8094, 4263, 15346, 541, 5622, 18669, 267, 938, 717, 11679, 616, 2139, 547, 2232, 1022, 4145, 602, 596, 949, 723, 827, 707, 2732, 269, 1284, 849, 1683, 6484, 29492, 2027, 2358, 538, 2127, 899, 2597, 2359, 267, 2021, 779, 1072, 267, 543, 1082, 1866, 269, 5192, 538, 5905, 609, 721, 585, 1022, 679, 24751, 543, 1433, 606, 13393, 2221, 269, 0, 3528, 11449, 713, 3028, 596, 786, 723, 1569, 547, 1152, 519, 4569, 476, 14056, 5149, 476, 272, 1627, 1704, 11473, 585, 519, 1699, 19496, 563, 1607, 3381, 2982, 596, 875, 547, 1711, 513, 5276, 3830, 2016, 513, 3349, 540, 1239, 563, 296, 786, 3802, 596, 998, 519, 3003, 1184, 689, 875, 547, 4283, 519, 1239, 883, 707, 9498, 267, 547, 875, 547, 1205, 519, 2626, 856, 540, 707, 9498, 267, 543, 1287, 875, 547, 3403, 519, 2016, 1032, 1239, 547, 1265, 513, 3803, 2551, 2450, 269, 1284, 786, 581, 1210, 513, 30263, 268, 10019, 610, 30263, 268, 10695, 9498, 585, 1454, 540, 519, 1184, 563, 2316, 268, 10019, 610, 30263, 268, 10695, 18185, 22490, 0, 1103, 513, 1867, 5950, 2221, 267, 606, 3486, 2319, 540, 476, 2767, 2916, 3744, 609, 519, 2622, 16661, 21922, 5698, 5462, 602, 519, 3002, 24859, 729, 476, 5611, 2053, 811, 2693, 547, 2049, 607, 513, 1267, 540, 2916, 1689, 4547, 827, 676, 8511, 3154, 5434, 563, 3963, 568, 621, 865, 3905, 1318, 1631, 476, 1708, 272, 888, 11764, 11302, 616, 3478, 28555, 7064, 547, 2916, 1689, 267, 2687, 547, 513, 1867, 5950, 713, 4832, 689, 8693, 6239, 269, 968, 2026, 3002, 13652, 6137, 8511, 9362, 2333, 519, 2518, 3328, 2837, 267, 649, 616, 7680, 2362, 3328, 5210, 543, 811, 3665, 543, 2594, 31771, 3002, 2621, 563, 3963, 568, 2837, 865, 1164, 538, 4516, 888, 4407, 519, 2407, 4336, 543, 2530, 3361, 676, 4516, 779, 3002, 24859, 7133, 3703, 12052, 3788, 547, 581, 2938, 267, 1082, 3744, 543, 14368, 5505, 723, 1767, 602, 971, 865, 2130, 5210, 1223, 1134, 581, 9648, 607, 1267, 540, 16246, 8511, 3154, 5434, 543, 513, 2048, 17742, 26434, 685, 540, 17645, 5533, 8108, 936, 3703, 12052, 6693, 1692, 3983, 568, 2916, 1689, 476, 1708, 272, 888, 1704, 4728, 281, 513, 1353, 676, 519, 4139, 18966, 540, 4414, 9061, 543, 4414, 595, 29266, 5081, 7724, 6059, 602, 267, 11451, 1063, 5181, 476, 1708, 271, 543, 5988, 476, 1708, 272, 267, 476, 1321, 269, 276, 2929, 1004, 941, 19774, 676, 8801, 5222, 540, 2916, 1689, 267, 519, 5993, 3328, 23630, 476, 736, 2929, 563, 3963, 568, 621, 1869, 3905, 538, 5239, 476, 1708, 272, 888, 295, 27941, 5210, 713, 3018, 616, 538, 851, 3361, 676, 513, 1164, 2604, 1062, 10825, 2066, 519, 3162, 909, 998, 1715, 4789, 2443, 10912, 585, 811, 24106, 543, 15911, 4365, 269, 10765, 4764, 543, 6777, 28323, 593, 519, 4639, 11076, 2813, 519, 1164, 2604, 1062, 267, 717, 691, 1676, 1767, 563, 3963, 568, 4516, 865, 4411, 888, 3963, 568, 4516, 865, 4411, 286, 5221, 540, 922, 4087, 5087, 540, 519, 4982, 1807, 267, 621, 1281, 1995, 4411, 4365, 269, 1717, 267, 1317, 540, 922, 2450, 267, 621, 814, 1082, 1114, 16374, 269, 3807, 4952, 267, 922, 7013, 8473, 6013, 538, 519, 1482, 20173, 607, 13566, 7187, 4993, 267, 1247, 922, 7187, 8473, 568, 2282, 519, 535, 3419, 573, 818, 8157, 563, 3674, 4516, 568, 513, 1434, 1747, 547, 2661, 888, 763, 10866, 540, 5020, 1016, 17213, 532, 6060, 1185, 513, 476, 1724, 269, 6434, 260, 2597, 538, 519, 2949, 7454, 18831, 20823, 269, 4658, 9846, 2070, 513, 1507, 1895, 540, 6082, 607, 1373, 1655, 693, 3246, 585, 741, 4961, 269, 1280, 519, 15795, 15654, 1032, 267, 4516, 16034, 3143, 269, 476, 272, 2949, 585, 3246, 513, 1434, 2298, 540, 1272, 563, 3674, 4516, 2141, 4411, 888, 28657, 568, 2141, 4411, 454, 7212, 4516, 1281, 3382, 851, 540, 519, 11848, 543, 649, 798, 723, 8701, 12217, 267, 782, 519, 1804, 8225, 4872, 616, 4092, 1063, 476, 4510, 543, 476, 4649, 5232, 20173, 799, 1797, 649, 723, 2185, 3982, 12405, 1519, 513, 4411, 5162, 543, 513, 3905, 4832, 269, 2560, 1809, 519, 24475, 616, 8197, 4411, 563, 3674, 972, 2518, 8337, 538, 476, 1708, 272, 888, 763, 2518, 1611, 2837, 585, 476, 1708, 272, 630, 22372, 593, 1239, 689, 5130, 547, 5181, 264, 729, 827, 476, 272, 269, 6021, 9180, 1657, 519, 476, 6977, 271, 268, 5002, 271, 3328, 269, 2560, 476, 1708, 272, 568, 1472, 476, 271, 269, 1240, 9180, 547, 476, 271, 269, 2918, 11019, 290, 15911, 982, 476, 1001, 272, 269, 1306, 519, 476, 1708, 271, 268, 2641, 5487, 15281, 29823, 814, 530, 534, 539, 267, 10865, 2518, 5210, 723, 2799, 563, 1432, 779, 519, 10782, 3364, 585, 2916, 1689, 888, 1015, 2916, 1689, 5636, 1622, 454, 268, 8738, 940, 8093, 10173, 585, 5201, 543, 3002, 568, 267, 676, 2484, 267, 519, 1292, 9920, 540, 2916, 1689, 269, 6693, 268, 18815, 2443, 6117, 267, 10760, 543, 519, 899, 2443, 2306, 909, 5176, 476, 1428, 260, 540, 2518, 2916, 268, 4219, 5533, 267, 2687, 547, 476, 1001, 273, 1239, 24704, 676, 654, 6020, 563, 1432, 4024, 2887, 476, 1708, 272, 1413, 899, 4365, 888, 14197, 476, 1708, 272, 12096, 16661, 5983, 4751, 454, 2690, 1034, 540, 519, 2887, 4005, 267, 5210, 2066, 519, 2136, 2276, 786, 581, 15911, 982, 3339, 538, 519, 769, 3410, 20667, 267, 7414, 19566, 267, 543, 7414, 25763, 4525, 543, 14522, 543, 2630, 3339, 11992, 563, 1432, 786, 5162, 581, 899, 538, 476, 1708, 272, 888, 310, 5793, 786, 581, 15911, 543, 5671, 518, 982, 3339, 267, 609, 2630, 5991, 5436, 6777, 6420, 269, 634, 4411, 652, 1974, 786, 581, 689, 3735, 5412, 883, 2038, 5130, 267, 609, 519, 6777, 5006, 5712, 538, 3735, 5437, 267, 3735, 5412, 267, 543, 2038, 5130, 269, 4989, 543, 2904, 786, 723, 2282, 5991, 5436, 5210, 543, 581, 4764, 1512, 982, 3339, 563, 1432, 2186, 540, 2887, 568, 10567, 585, 476, 1708, 272, 888, 1708, 272, 12096, 5983, 4751, 11137, 454, 763, 26478, 685, 1325, 2006, 659, 6905, 9472, 585, 2887, 6920, 602, 1919, 786, 5912, 689, 2864, 3636, 543, 18519, 2175, 538, 5181, 547, 606, 29099, 989, 18469, 543, 24360, 3923, 540, 5239, 269, 5239, 585, 1454, 540, 519, 2197, 568, 2356, 519, 1579, 11732, 543, 1034, 22471, 559, 3923, 540, 519, 1032, 269, 0, 5881, 268, 1015, 268, 1001, 280, 476, 6860, 281, 6349, 6751, 454, 21122, 543, 24635, 4270, 7424, 11314, 281, 10515, 532, 609, 13262, 454, 9336, 6830, 9519, 649, 786, 581, 20171, 8171, 2238, 596, 666, 798, 609, 707, 7141, 2336, 1607, 3018, 781, 8171, 2534, 568, 782, 827, 12003, 609, 2566, 543, 4358, 606, 1930, 6643, 1063, 596, 543, 707, 7141, 593, 875, 596, 1312, 2697, 4191, 540, 2566, 267, 543, 1018, 2994, 596, 946, 547, 4383, 543, 11883, 609, 2566, 563, 16352, 7391, 827, 2566, 568, 513, 2731, 1390, 1259, 547, 1711, 4656, 585, 1312, 14038, 543, 3237, 269, 1452, 5717, 666, 948, 596, 543, 707, 7141, 2097, 909, 609, 930, 1064, 14476, 2081, 2566, 666, 581, 4857, 543, 7307, 538, 519, 2104, 563, 1607, 2534, 786, 2285, 596, 930, 1883, 2055, 547, 1589, 827, 950, 6158, 547, 707, 7141, 827, 2566, 267, 543, 5000, 596, 547, 1376, 513, 6643, 2336, 1432, 1281, 2566, 1413, 899, 888, 763, 4191, 540, 2566, 1491, 1114, 3029, 585, 1114, 1004, 267, 543, 1565, 547, 1174, 519, 4191, 540, 2566, 585, 3054, 267, 543, 519, 4191, 540, 2566, 538, 707, 7141, 949, 948, 596, 917, 950, 621, 949, 581, 942, 547, 946, 2994, 547, 4383, 519, 2566, 563, 26524, 547, 1865, 609, 707, 7141, 281, 1548, 1281, 2566, 1413, 899, 585, 596, 543, 875, 798, 596, 917, 950, 596, 616, 4743, 14129, 270, 1478, 342, 3559, 4364, 888, 9336, 1268, 2941, 525, 609, 2566, 8335, 256, 5620, 513, 1413, 693, 519, 3381, 2630, 827, 1582, 1416, 585, 12322, 543, 1946, 621, 568, 1271, 547, 1489, 12322, 547, 1265, 2081, 540, 12003, 609, 2566, 563, 26524, 547, 1865, 609, 707, 7141, 281, 1548, 2238, 798, 596, 2972, 3257, 610, 2337, 547, 2285, 707, 2247, 513, 2736, 950, 596, 616, 4743, 14129, 888, 4131, 721, 917, 952, 596, 723, 1185, 513, 6643, 609, 707, 7141, 827, 2566, 269, 1215, 1705, 519, 6643, 979, 286, 9894, 596, 1451, 1945, 1007, 827, 3054, 610, 707, 7141, 286, 1215, 666, 596, 960, 1927, 547, 4383, 2566, 286, 0, 10403 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2037, 655, 553, 723, 1279, 1044, 1031, 607, 513, 25695, 19605, 799, 786, 948, 11177, 13101, 543, 2807, 476, 1428, 3764, 513, 19984, 543, 1039, 827, 476, 273, 6279, 540, 22890, 593, 540, 256, 1656, 2922, 585, 10130, 3141, 14315, 543, 15319, 6091, 7777, 11656, 661, 1186, 558, 20919, 616, 606, 11212, 11684, 10826, 22433, 585, 22074, 269, 1656, 1747, 707, 1101, 535, 1716, 538, 1463, 7943, 2094, 713, 666, 3819, 856, 519, 2030, 521, 269, 2142, 4294, 2899, 829, 3923, 543, 23679, 1058, 581, 2944, 950, 519, 535, 1716, 568, 15817, 24222, 799, 616, 1804, 267, 5258, 3762, 2953, 7777, 19518, 538, 22340, 2098, 2158, 547, 269, 9255, 519, 535, 1716, 538, 513, 2564, 4750, 689, 513, 13101, 23253, 679, 9047, 729, 3370, 538, 476, 3707, 274, 14450, 256, 1656, 1747, 707, 1101, 535, 1716, 538, 513, 20645, 540, 1216, 267, 950, 519, 535, 1716, 568, 21363, 1862, 4400, 11195, 267, 9793, 1216, 543, 17573, 13226, 513, 2560, 27653, 621, 538, 20919, 1862, 27016, 513, 1906, 3764, 585, 519, 661, 1186, 558, 6070, 7027, 281, 12181, 827, 661, 1186, 558, 6070, 585, 256, 4826, 543, 930, 661, 1186, 558, 20919, 538, 18168, 666, 849, 2628, 547, 536, 7752, 538, 1454, 267, 2362, 269, 1230, 13935, 16247, 267, 13101, 543, 824, 5567, 602, 5351, 538, 2635, 2030, 2208, 29537, 256, 21207, 564, 602, 596, 786, 581, 3768, 626, 32328, 585, 693, 2547, 476, 272, 2560, 1747, 519, 535, 1716, 538, 2119, 2810, 519, 543, 1862, 7720, 626, 855, 711, 22350, 6632, 4401, 865, 519, 2030, 476, 276, 268, 2899, 519, 661, 1186, 558, 6070, 538, 835, 540, 256, 3733, 7542, 985, 616, 6213, 547, 13226, 267, 2523, 952, 1031, 538, 513, 10036, 1494, 18795, 1862, 1280, 10130, 547, 8602, 1216, 6219, 602, 2306, 873, 3039, 12630, 538, 519, 27653, 543, 1287, 2647, 607, 519, 11313, 256, 22513, 1412, 338, 1216, 14117, 532, 18651, 1091, 593, 11255, 7542, 985, 1352, 849, 8255, 1200, 6197, 1862, 27100, 610, 7777, 585, 936, 476, 1220, 1296, 1107, 543, 609, 1434, 2601, 1039, 661, 1186, 558, 6070, 267, 15234, 12181, 18542, 29755, 2007, 513, 8559, 602, 568, 20898, 609, 24435, 21263, 535, 1716, 538, 519, 661, 1186, 558, 6070, 267, 12181, 269, 14117, 532, 18651, 1091, 593, 11255, 7542, 985, 267, 4789, 15596, 7542, 985, 616, 6213, 547, 13226, 267, 2523, 952, 1031, 538, 1818, 543, 256, 27752, 543, 1543, 2344, 518, 689, 909, 8063, 1007, 3840, 476, 16006, 7484, 540, 661, 1186, 558, 6070, 538, 835, 20645, 540, 543, 256, 2353, 12204, 540, 18717, 4431, 18991, 547, 519, 3636, 1216, 27422, 6505, 9940, 1769, 267, 1164, 11195, 267, 9793, 543, 256, 15486, 540, 14117, 532, 18651, 1091, 593, 11255, 7542, 985, 666, 581, 6225, 952, 621, 711, 269, 21964, 568, 2560, 661, 1186, 558, 6070, 538, 741, 1216, 616, 849, 1875, 1729, 13877, 543, 2922, 585, 10130, 616, 2356, 513, 1129, 936, 22476, 256, 910, 3842, 519, 18740, 4750, 8602, 786, 948, 11177, 13101, 543, 23253, 513, 547, 269, 15019, 2777, 8690, 513, 1880, 3693, 610, 7777, 519, 3952, 538, 519, 27653, 585, 827, 476, 736, 547, 476, 1789, 25008, 476, 1789, 2807, 1411, 616, 6382, 12391, 585, 707, 535, 1716, 538, 513, 2564, 4750, 689, 513, 13101, 23253, 679, 9047, 729, 3370, 538, 907, 1924, 752, 543, 1287, 568, 1271, 711, 547, 1747, 519, 535, 1716, 568, 513, 6505, 3039, 535, 1716, 1031, 607, 25695, 256, 2060, 1898, 3282, 568, 513, 6505, 3039, 535, 1716, 1031, 607, 513, 2777, 8690, 543, 849, 6738, 13964, 22340, 1862, 595, 2130, 585, 707, 535, 1716, 2899, 513, 3923, 602, 2337, 543, 23679, 1058, 581, 2944, 950, 519, 25815, 269, 16959, 856, 519, 2030, 6213, 547, 13226, 267, 2523, 952, 1031, 538, 4430, 1216, 269, 21733, 1600, 519, 2012, 1317, 621, 729, 4362, 538, 661, 1186, 558, 20919, 267, 5594, 15755, 3037, 661, 1186, 558, 6070, 1216, 12727, 12181, 827, 661, 1186, 558, 6070, 814, 5129, 606, 3742, 1909, 538, 519, 5377, 540, 707, 8685, 2196, 1862, 4024, 1118, 707, 7542, 985, 1522, 4324, 689, 519, 1840, 540, 661, 1186, 558, 6070, 547, 707, 5551, 2837, 27653, 621, 538, 20919, 256, 1677, 2220, 880, 621, 1472, 513, 3787, 547, 948, 2953, 7777, 19518, 267, 9793, 1216, 543, 1273, 3819, 24222, 1164, 11195, 267, 865, 519, 1318, 13226, 2306, 513, 3017, 538, 519, 27653, 543, 1287, 519, 1421, 13248, 883, 519, 27647, 1242, 19943, 543, 1747, 707, 1101, 535, 1716, 538, 949, 596, 269, 570, 2350, 515, 4451, 3279, 3738, 616, 1634, 585, 741, 18651, 1091, 267, 799, 568, 2147, 538, 5920, 547, 3349, 6070, 20645, 269, 2142, 6297, 5594, 15755, 3037, 30482, 1544, 1562, 543, 849, 3330, 2030, 1634, 607, 18156, 535, 1716, 543, 30823, 22519, 1515, 256, 570, 10943, 1662, 519, 16714, 543, 1152, 946, 538, 519, 7067, 540, 18495, 585, 936, 476, 1220, 1296, 1107, 543, 609, 2601, 1862, 24439, 513, 3017, 538, 519, 3037, 476, 274, 3952, 7381, 267, 543, 621, 3340, 9864, 3141, 547, 12094, 1862, 630, 570, 2350, 515, 4451, 3279, 3738, 616, 1634, 585, 741, 18651, 1091, 267, 799, 616, 1804, 267, 5258, 23511, 476, 273, 26486, 883, 476, 272, 20645, 540, 1216, 543, 930, 661, 1186, 558, 20919, 538, 18168, 666, 849, 909, 256, 1677, 2208, 538, 30482, 1544, 1562, 875, 1279, 547, 27653, 7542, 985, 538, 552, 1186, 558, 6070, 849, 6738, 13964, 538, 22340, 2098, 2158, 476, 279, 547, 23511, 28731, 1582, 25252, 11797, 543, 2182, 1465, 4054, 2593, 6811, 602, 7542, 985, 723, 1044, 593, 3047, 585, 811, 982, 476, 12573, 1296, 1862, 645, 7867, 29649, 5614, 693, 661, 1186, 558, 538, 5080, 9445, 267, 4789, 1216, 630, 29691, 519, 890, 6277, 956, 3738, 2864, 538, 256, 4934, 543, 540, 519, 1216, 547, 707, 5551, 2837, 22890, 593, 1283, 540, 519, 2679, 7161, 12518, 547, 256, 630, 8940, 4732, 11548, 325, 337, 643, 565, 640, 2593, 3738, 581, 12630, 538, 519, 5377, 540, 707, 8685, 543, 2196, 519, 1216, 630, 29691, 519, 890, 6277, 956, 2864, 1862, 4112, 1622, 602, 661, 1186, 558, 6070, 538, 513, 3099, 540, 29972, 3871, 547, 948, 513, 2030, 1634, 607, 25695, 256, 2060, 3636, 1216, 585, 827, 476, 736, 547, 476, 1789, 25008, 540, 1416, 666, 581, 12630, 519, 256, 4495, 519, 661, 1186, 558, 6070, 547, 707, 5551, 2837, 1804, 267, 5258, 3762, 3262, 3606, 7542, 985, 476, 273, 6306, 1862, 1744, 1228, 12567, 12567, 12518, 5600, 12518, 29597, 518, 29972, 29972, 9669, 30482, 12518, 30482, 25052, 11785, 2807, 2098, 2158, 476, 280, 268, 1556, 543, 568, 1134, 25252, 1243, 547, 2208, 538, 30482, 1544, 1562, 543, 849, 6738, 13964, 22340, 256, 24872, 1216, 616, 7432, 6960, 267, 596, 666, 2030, 707, 535, 1716, 2899, 513, 3923, 585, 476, 1789, 547, 476, 2568, 7466, 1862, 1656, 1273, 1200, 3819, 267, 476, 1001, 271, 476, 271, 1336, 713, 5363, 3054, 538, 606, 661, 1186, 558, 6070, 6404, 741, 269, 32243, 6306, 543, 1039, 827, 476, 273, 6279, 540, 3037, 5848, 855, 711, 875, 1279, 547, 27653, 7542, 985, 538, 552, 1186, 558, 6070, 6632, 610, 256, 5484, 1030, 2772, 952, 621, 11313, 521, 3597, 3440, 1216, 2394, 621, 11313, 521, 3597, 3440, 2635, 2030, 2208, 707, 543, 269, 3590, 1317, 789, 666, 581, 6225, 952, 621, 11313, 521, 3597, 3440, 2053, 829, 3018, 827, 256, 1358, 4782, 9864, 547, 2407, 12094, 8285, 535, 1716, 267, 8285, 535, 1716, 267, 8285, 535, 1716, 267, 8285, 11783, 476, 6507, 24762, 267, 476, 272, 267, 4792, 275, 22227, 9948, 4873, 476, 276, 267, 476, 1001, 271, 476, 271, 1336, 713, 5363, 891, 666, 12630, 1862, 8347, 3001, 519, 2030, 476, 273, 26486, 883, 476, 272, 20645, 540, 1216, 267, 950, 519, 568, 269, 1772, 1271, 711, 547, 1747, 519, 3952, 1134, 3544, 267, 1519, 519, 535, 1716, 256, 6129, 14315, 543, 15319, 6091, 2048, 11785, 16772, 529, 11313, 568, 513, 5856, 543, 1543, 2344, 518, 689, 1007, 256, 8073, 707, 661, 1186, 558, 6070, 538, 741, 1216, 568, 711, 2556, 267, 1498, 621, 949, 6225, 256, 2060, 24435, 21263, 2907, 2995, 513, 3017, 538, 519, 2038, 5614, 2899, 519, 661, 1186, 558, 8602, 1862, 1280, 3968, 543, 17343, 1494, 1657, 519, 1216, 547, 707, 535, 1716, 5265, 267, 713, 568, 563, 11390, 320, 1530, 520, 2353, 582, 618, 476, 1708, 271, 267, 5178, 523, 10202, 28523, 625, 1280, 22312, 2480, 267, 1744, 597, 537, 25966, 2506, 31843, 267, 3776, 15248, 2986, 6778, 25844, 601, 3427, 715, 329, 267, 12844, 2561, 18863, 527, 31201, 344, 26560, 590, 19281, 267, 623, 879, 1849, 17064, 19881, 5729, 7726, 14430, 267, 595, 1690, 684, 17897, 532, 25548, 328, 267, 1744, 559, 11985, 932, 7596, 327, 776, 17749, 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 ]
[ 0, 2026, 596, 2263, 707, 1007, 10450, 267, 649, 1616, 547, 948, 596, 3605, 835, 540, 8103, 781, 1034, 1898, 1983, 281, 21363, 269, 8786, 267, 596, 1224, 602, 1318, 1107, 11005, 568, 513, 4105, 851, 540, 1373, 1480, 2439, 1103, 713, 3102, 3391, 267, 649, 3513, 3802, 596, 998, 1169, 2460, 540, 834, 516, 2000, 1314, 268, 532, 2437, 689, 1620, 1018, 621, 1797, 547, 13215, 519, 2553, 269, 5213, 1405, 5855, 952, 930, 2035, 3100, 14542, 282, 649, 4312, 3893, 596, 4988, 609, 2312, 3137, 543, 1900, 8386, 9912, 5528, 780, 1262, 3721, 476, 272, 281, 4197, 4039, 1314, 566, 4373, 9824, 1314, 566, 4016, 547, 513, 1533, 540, 2247, 543, 1560, 1141, 596, 1745, 9350, 267, 12560, 267, 543, 1863, 689, 8082, 610, 2566, 269, 5994, 13735, 9900, 593, 513, 6531, 267, 1510, 1022, 19048, 610, 4145, 20604, 596, 1524, 269, 2334, 781, 10199, 1018, 3425, 2832, 585, 950, 789, 6001, 2439, 2414, 2253, 267, 1577, 781, 12172, 930, 4909, 3344, 1384, 265, 2878, 289, 805, 3107, 5093, 18972, 13236, 2011, 883, 741, 9641, 1210, 741, 5023, 543, 9224, 269, 1879, 17159, 267, 7244, 3587, 14887, 543, 4514, 563, 265, 2878, 15404, 3380, 5093, 2659, 6091, 616, 899, 8465, 12673, 3330, 707, 1560, 269, 1879, 13029, 267, 789, 4579, 630, 1326, 10156, 5148, 950, 17159, 267, 789, 5305, 630, 331, 1263, 6533, 1916, 265, 2878, 15987, 1206, 5093, 5274, 8186, 666, 32603, 267, 2870, 4555, 267, 4664, 267, 543, 4606, 269, 769, 11005, 7154, 267, 891, 2790, 2238, 3500, 1524, 267, 3850, 596, 547, 7938, 785, 780, 3086, 267, 5196, 519, 1187, 851, 2439, 1262, 3721, 476, 273, 281, 15531, 513, 1290, 13025, 19024, 4373, 24109, 753, 1419, 1694, 610, 9114, 1524, 547, 6001, 269, 1411, 1522, 991, 547, 4603, 609, 1114, 7158, 2394, 596, 1265, 1018, 1568, 1655, 585, 596, 269, 3371, 781, 875, 547, 2119, 873, 856, 1384, 320, 269, 2878, 306, 9231, 26279, 453, 266, 4855, 513, 19756, 1843, 609, 513, 6366, 2627, 267, 971, 607, 513, 11381, 610, 14541, 563, 453, 266, 28528, 2539, 3054, 5196, 519, 10160, 267, 5329, 707, 1394, 2786, 563, 453, 266, 17797, 707, 7953, 865, 789, 2811, 6899, 267, 2901, 18761, 693, 519, 19704, 610, 21401, 856, 1354, 596, 563, 321, 269, 2878, 299, 3539, 13560, 26279, 453, 266, 10576, 513, 2571, 267, 24302, 16845, 1858, 267, 899, 513, 5127, 610, 4172, 577, 563, 453, 266, 28392, 556, 743, 710, 5196, 519, 2627, 267, 5885, 707, 2212, 609, 513, 10788, 578, 610, 31289, 952, 2877, 563, 453, 266, 2913, 707, 7916, 1964, 22290, 596, 610, 1747, 873, 2066, 707, 9221, 780, 8855, 267, 4313, 568, 1883, 256, 1403, 596, 1810, 1405, 1745, 18241, 267, 4188, 707, 2990, 9935, 780, 1262, 3721, 476, 274, 281, 10753, 657, 2287, 5455, 8409, 4053, 3380, 4373, 11742, 547, 8897, 1346, 4887, 12673, 2439, 320, 269, 2878, 19675, 619, 26279, 453, 266, 24305, 707, 17525, 4464, 543, 18807, 538, 1507, 10580, 630, 12671, 476, 276, 268, 278, 2053, 1040, 901, 2337, 3138, 4923, 909, 9395, 1145, 563, 453, 266, 24793, 1022, 6967, 8082, 676, 15603, 707, 17525, 5323, 641, 5594, 18746, 563, 321, 269, 2878, 10468, 1188, 543, 10361, 26279, 453, 266, 20405, 569, 28550, 707, 2212, 547, 519, 2451, 267, 8744, 707, 1274, 2509, 707, 13105, 269, 15579, 585, 476, 1015, 7643, 563, 453, 266, 19244, 593, 519, 1318, 2427, 563, 453, 266, 14190, 707, 8405, 547, 6001, 267, 4743, 519, 2597, 540, 707, 2212, 6462, 676, 707, 12636, 563, 322, 269, 2878, 6635, 916, 543, 24732, 26279, 453, 266, 700, 3424, 1312, 7916, 1657, 707, 2212, 267, 15198, 11263, 4724, 519, 18109, 563, 453, 266, 13722, 707, 7916, 7444, 267, 16089, 1022, 20765, 563, 453, 266, 654, 24513, 548, 707, 11263, 14350, 267, 1287, 1927, 267, 547, 21199, 1055, 29886, 8082, 563, 323, 269, 2878, 26765, 338, 543, 32243, 26279, 453, 266, 645, 754, 707, 19704, 5594, 267, 1287, 8831, 873, 1586, 269, 19244, 1896, 2053, 563, 453, 266, 15585, 622, 707, 17094, 956, 29628, 543, 4831, 22018, 3772, 630, 12671, 476, 276, 268, 278, 32186, 6393, 2026, 596, 960, 998, 891, 5751, 267, 1445, 593, 15603, 979, 540, 1022, 8833, 610, 6551, 7190, 269, 18461, 707, 6091, 7938, 4193, 267, 4742, 29779, 543, 811, 726, 4192, 2496, 1262, 3721, 476, 275, 281, 2836, 2719, 519, 9650, 4373, 2005, 781, 942, 547, 9602, 602, 11112, 2634, 540, 16523, 2439, 320, 269, 2878, 28308, 22165, 3107, 26279, 453, 266, 19171, 707, 4064, 630, 604, 596, 10093, 1405, 2907, 264, 543, 1491, 513, 2620, 7362, 538, 998, 707, 9224, 563, 453, 266, 19130, 707, 9641, 4628, 267, 10203, 3623, 1836, 547, 2185, 563, 453, 266, 1401, 327, 1446, 7444, 998, 707, 5023, 267, 7962, 3539, 707, 9641, 4625, 267, 1247, 10203, 547, 3670, 563, 453, 266, 19244, 713, 4783, 1896, 2053, 267, 2519, 593, 519, 14815, 540, 25312, 563, 321, 269, 2878, 26045, 5940, 10330, 26279, 453, 266, 10439, 1125, 513, 32668, 1604, 267, 899, 513, 11824, 610, 4104, 1350, 1228, 267, 11423, 707, 12823, 609, 22196, 24738, 267, 4992, 267, 543, 24462, 563, 453, 266, 19415, 547, 25695, 2575, 610, 2470, 4992, 267, 3850, 519, 23964, 547, 11547, 936, 596, 563, 453, 266, 8125, 1836, 10956, 9543, 14751, 725, 267, 971, 607, 834, 296, 993, 2922, 2437, 834, 296, 993, 17159, 2437, 610, 834, 5472, 568, 1134, 3010, 3528, 1631, 267, 596, 1058, 581, 4358, 547, 1745, 513, 2631, 540, 22471, 1006, 10825, 2429, 707, 3003, 1373, 2439, 1262, 289, 517, 639, 9669, 16001, 265, 1677, 3986, 11005, 267, 2015, 9427, 19240, 899, 5907, 3457, 610, 4466, 513, 9602, 2230, 2476, 689, 10978, 21089, 563, 265, 15331, 609, 11636, 4887, 11005, 267, 9937, 532, 1808, 2127, 630, 3697, 19462, 610, 1608, 1407, 264, 1354, 16089, 873, 563, 265, 8347, 6220, 1085, 757, 2404, 609, 11005, 267, 971, 607, 32175, 610, 29877, 267, 998, 22250, 267, 1651, 1619, 267, 610, 1898, 11041, 780, 23558, 267, 3659, 256, 1411, 4312, 3144, 707, 1101, 3268, 2509, 8508, 519, 8748, 1158, 540, 11005, 256, 5457, 267, 2259, 2306, 3501, 267, 865, 1832, 3695, 543, 17975, 707, 556, 2000, 1314, 268, 532, 2553, 780, 31917, 21363, 267, 543, 10950, 547, 938, 5863, 4541, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 3725, 561, 1314, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 14297, 4884, 3957, 700, 29837, 267, 5030, 1079, 1762, 3744, 910, 15039, 267, 606, 25981, 7762, 534, 626, 267, 543, 7665, 267, 513, 8049, 21997, 269, 5637, 941, 19832, 676, 519, 13300, 540, 2470, 855, 14059, 621, 689, 1114, 7285, 282, 15039, 6068, 4974, 2371, 1247, 7665, 729, 27278, 676, 1769, 780, 3080, 13566, 1554, 267, 789, 4956, 547, 12840, 593, 1620, 875, 15591, 1568, 543, 1018, 5540, 922, 2557, 269, 1358, 3323, 1055, 741, 3408, 31113, 896, 519, 3636, 7943, 267, 1142, 8744, 2189, 5380, 547, 519, 3349, 780, 299, 1176, 6045, 267, 834, 3383, 267, 15591, 568, 899, 5986, 256, 12518, 10110, 1769, 1648, 267, 2523, 689, 28060, 513, 543, 536, 267, 1175, 607, 596, 9364, 991, 3002, 585, 11256, 4799, 16655, 21330, 24617, 1354, 4946, 267, 834, 6546, 781, 4277, 1317, 711, 782, 8279, 616, 3160, 269, 1280, 3236, 267, 938, 2978, 22311, 1810, 1405, 2285, 519, 1482, 2164, 1256, 952, 789, 723, 519, 1482, 1379, 4259, 1813, 547, 3604, 538, 8552, 3010, 2026, 789, 4797, 741, 4901, 267, 789, 7691, 602, 1932, 1454, 1412, 17742, 262, 610, 7920, 1769, 1223, 2800, 519, 10347, 3666, 2877, 585, 6099, 15591, 269, 898, 18056, 873, 540, 1004, 945, 7903, 2933, 1932, 2182, 1510, 1964, 267, 5555, 3056, 547, 25794, 269, 5927, 987, 1944, 609, 713, 9183, 267, 789, 8815, 593, 519, 2956, 540, 1582, 13282, 543, 4509, 513, 2635, 3666, 1063, 4674, 543, 6051, 780, 5445, 849, 4362, 602, 3327, 8166, 2157, 6766, 519, 3432, 540, 15591, 269, 2859, 2910, 273, 5921, 5488, 2504, 540, 7280, 267, 22348, 873, 540, 519, 5683, 14196, 8103, 8188, 2221, 3823, 8511, 9362, 269, 3414, 713, 7828, 267, 789, 4718, 519, 4644, 540, 4227, 5434, 543, 2810, 10338, 2409, 30396, 780, 4913, 267, 1919, 3576, 606, 6397, 2490, 950, 741, 4603, 3893, 856, 540, 1688, 269, 769, 3843, 547, 11694, 1769, 8515, 267, 789, 18417, 20358, 539, 519, 17689, 267, 4929, 3441, 547, 930, 19155, 269, 1744, 18088, 676, 1018, 5949, 267, 789, 4121, 20250, 827, 26516, 4539, 543, 3743, 3621, 2259, 780, 20442, 1590, 3314, 2437, 1767, 15039, 18205, 569, 267, 834, 7474, 1702, 2501, 609, 5539, 269, 3776, 5079, 1764, 1346, 1472, 721, 267, 2436, 2047, 610, 18549, 4799, 16655, 21330, 267, 3168, 14436, 269, 834, 8133, 267, 649, 1058, 2141, 2015, 1761, 4220, 543, 1491, 2556, 15416, 3010, 8601, 519, 32657, 777, 267, 741, 1788, 8694, 9797, 269, 2060, 6297, 8343, 543, 2079, 267, 789, 7307, 547, 5531, 3407, 1239, 827, 519, 2360, 540, 1585, 2188, 593, 15591, 3928, 269, 4256, 5698, 2968, 513, 15266, 547, 2500, 16542, 543, 8994, 2463, 5103, 18312, 6791, 267, 18445, 602, 4763, 11942, 5647, 543, 2208, 780, 1103, 3932, 267, 1565, 827, 15591, 6026, 15039, 543, 7665, 1271, 1272, 4245, 269, 3245, 1620, 519, 13766, 540, 3666, 547, 14344, 519, 2597, 540, 5539, 267, 891, 1762, 3744, 22993, 6568, 267, 7881, 267, 543, 1966, 9010, 1983, 1898, 585, 3025, 267, 7488, 540, 2085, 610, 3924, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 1281, 519, 1184, 540, 15591, 960, 267, 543, 1018, 2188, 666, 1860, 519, 2557, 540, 713, 1184, 538, 2371, 888, 21900, 657, 11853, 568, 519, 1184, 676, 799, 2371, 267, 13479, 267, 543, 930, 4551, 6460, 1769, 1648, 883, 3114, 1648, 538, 519, 1106, 540, 7280, 269, 634, 1184, 4386, 538, 8392, 6955, 6814, 267, 1507, 31759, 538, 2030, 2281, 602, 2270, 28060, 780, 763, 2596, 1184, 540, 15591, 666, 581, 24298, 607, 5205, 1384, 272, 269, 8752, 1648, 568, 12842, 676, 23416, 538, 8392, 6955, 6814, 267, 3226, 28060, 513, 543, 536, 563, 273, 269, 901, 1648, 568, 1031, 547, 8237, 1216, 6675, 883, 7250, 12274, 630, 295, 266, 264, 543, 5135, 3154, 630, 302, 273, 1916, 274, 269, 634, 7250, 12274, 543, 3327, 8166, 630, 4596, 273, 264, 9192, 547, 1106, 7280, 630, 290, 277, 295, 1321, 302, 277, 264, 543, 1216, 630, 295, 273, 302, 1916, 275, 269, 27488, 568, 5950, 607, 513, 3653, 1587, 780, 26502, 602, 666, 1860, 519, 2557, 540, 15591, 538, 2371, 1331, 1384, 272, 269, 8752, 8515, 281, 16071, 11853, 3340, 1769, 267, 865, 607, 1769, 8515, 4679, 267, 865, 1281, 519, 2557, 540, 15591, 269, 1717, 267, 693, 1164, 1769, 14556, 885, 267, 519, 2030, 666, 1831, 8697, 267, 865, 972, 1775, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 296, 6415, 6126, 547, 2743, 596, 543, 6338, 596, 547, 938, 4541, 3047, 269, 594, 1294, 596, 616, 5461, 538, 1565, 827, 2831, 543, 741, 2623, 269, 2913, 803, 2995, 596, 513, 1650, 827, 30539, 742, 525, 543, 875, 649, 1353, 873, 1210, 11976, 267, 2147, 547, 1018, 729, 5018, 538, 519, 2546, 1349, 596, 3838, 4505, 780, 294, 4275, 742, 525, 616, 7381, 7068, 609, 1279, 683, 4242, 602, 2661, 593, 2244, 267, 4481, 538, 4000, 269, 1358, 1847, 1472, 676, 6972, 543, 4881, 593, 782, 2185, 338, 899, 1082, 824, 2185, 6122, 13949, 2831, 798, 1934, 593, 3047, 269, 9521, 3425, 945, 3802, 20005, 593, 1079, 7953, 267, 649, 2831, 2356, 7048, 593, 2185, 17873, 585, 21525, 10056, 780, 3086, 1577, 803, 2671, 930, 4241, 5013, 827, 30539, 11738, 1514, 2497, 543, 2623, 998, 707, 1719, 538, 11976, 269, 3807, 607, 519, 2376, 14437, 827, 4262, 21495, 267, 3744, 849, 4983, 519, 5027, 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 ]
[ 2018, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 278, 267, 476, 274, 267, 887, 758, 303, 19991, 994, 2018, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 278, 267, 271, 994, 2018, 1582, 269, 13765, 2690, 13425, 4590, 2018, 952, 1582, 3052, 877, 10947, 310, 13425, 3890, 2652, 12148, 912, 3546, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 278, 267, 271, 267, 549, 758, 303, 19991, 994, 3546, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 278, 267, 274, 994, 3546, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 12328, 303, 3789, 312, 267, 4062, 303, 3789, 311, 267, 1847, 303, 19991, 994, 3546, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 278, 267, 273, 994, 3546, 2132, 8771, 692, 1038, 8640, 1496, 332, 913, 303, 3789, 312, 31599, 913, 303, 3789, 311, 316, 2652, 314, 278, 267, 277, 14158, 2018, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 278, 267, 476, 277, 267, 1847, 303, 19991, 994, 2018, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 12328, 303, 3789, 312, 267, 12328, 303, 3789, 311, 994, 2018, 887, 758, 303, 19991, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 263, 278, 267, 476, 278, 994, 2018, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 278, 267, 476, 276, 267, 887, 758, 303, 19991, 994, 2018, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 278, 267, 278, 994, 2018, 952, 1582, 3052, 877, 10947, 310, 13425, 3890, 2652, 12148, 912, 3546, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 278, 267, 278, 267, 549, 758, 303, 19991, 994, 3546, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 278, 267, 276, 994, 3546, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 12328, 303, 3789, 312, 267, 4062, 303, 3789, 311, 267, 1847, 303, 19991, 994, 3546, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 278, 267, 277, 994, 3546, 2132, 8771, 692, 1038, 8640, 1496, 332, 913, 303, 3789, 312, 31599, 913, 303, 3789, 311, 316, 2652, 314, 271, 267, 273, 14158, 2018, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 271, 267, 476, 273, 267, 1847, 303, 19991, 994, 2018, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 12328, 303, 3789, 312, 267, 12328, 303, 3789, 311, 994, 2018, 887, 758, 303, 19991, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 263, 271, 267, 476, 271, 994, 2018, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 271, 267, 476, 274, 267, 887, 758, 303, 19991, 994, 2018, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 271, 267, 271, 994, 2018, 952, 1582, 3052, 877, 10947, 6195, 515, 1188, 3890, 2652, 12148, 912, 3546, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 271, 267, 271, 267, 549, 758, 303, 19991, 994, 3546, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 271, 267, 274, 994, 3546, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 12328, 303, 3789, 312, 267, 4062, 303, 3789, 311, 267, 1847, 303, 19991, 994, 3546, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 271, 267, 273, 994, 3546, 2132, 8771, 692, 1038, 8640, 1496, 332, 913, 303, 3789, 312, 31599, 913, 303, 3789, 311, 316, 2652, 314, 271, 267, 277, 14158, 2018, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 271, 267, 277, 267, 1847, 303, 19991, 994, 2018, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 12328, 303, 3789, 312, 267, 12328, 303, 3789, 311, 994, 2018, 887, 758, 303, 19991, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 263, 271, 267, 476, 278, 994, 2018, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 271, 267, 476, 276, 267, 887, 758, 303, 19991, 994, 2018, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 271, 267, 277, 994, 2018, 952, 1582, 3052, 877, 10947, 6195, 515, 1188, 3890, 2652, 12148, 912, 3546, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 271, 267, 277, 267, 549, 758, 303, 19991, 994, 3546, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 271, 267, 276, 994, 3546, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 12328, 303, 3789, 312, 267, 4062, 303, 3789, 311, 267, 1847, 303, 19991, 994, 3546, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 271, 267, 277, 994, 3546, 2132, 8771, 454, 1038, 2132, 6936, 692, 825, 1219, 1205, 11795, 2159, 31161, 4311, 267, 16651, 8624, 712, 2187, 1038, 1948, 19686, 547, 1205, 513, 2352, 1847, 585, 519, 2352, 3642, 6345, 269, 3097, 1038, 1948, 12895, 31161, 5575, 291, 3704, 1592, 8637, 1239, 827, 519, 1655, 1847, 1210, 519, 1101, 3178, 269, 3097, 1038, 1655, 31161, 5575, 291, 3704, 815, 1496, 271, 2639, 1038, 1948, 12895, 31161, 13553, 291, 3704, 1592, 8637, 1239, 827, 519, 1655, 1847, 3168, 835, 1847, 6619, 1210, 519, 2034, 3178, 269, 3097, 1038, 1655, 31161, 13553, 291, 3704, 815, 1496, 271, 2639, 1038, 1948, 20777, 12648, 1630, 18978, 8637, 2436, 513, 4062, 666, 581, 3144, 593, 519, 5716, 2490, 269, 3097, 1038, 4570, 12648, 815, 8771, 454, 1038, 1948, 296, 614, 622, 998, 1169, 4009, 593, 519, 4604, 912, 1038, 585, 962, 538, 2039, 263, 279, 2187, 2018, 585, 2473, 538, 2039, 263, 279, 2187, 3546, 4062, 4002, 306, 13645, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 263, 312, 267, 311, 994, 3546, 1948, 13425, 2436, 972, 568, 513, 4062, 593, 519, 4009, 543, 2436, 621, 568, 519, 1482, 7990, 607, 519, 6345, 269, 22322, 3546, 952, 4062, 4002, 306, 13645, 11203, 3269, 543, 4062, 4002, 306, 13645, 10947, 8624, 712, 3890, 2652, 6345, 8624, 712, 912, 7386, 1948, 7476, 782, 540, 519, 4570, 7575, 540, 602, 6345, 269, 3097, 7386, 4570, 306, 638, 4100, 267, 4570, 12648, 306, 638, 4100, 267, 14500, 300, 7174, 267, 679, 27879, 656, 300, 7174, 815, 1582, 10947, 303, 19991, 13707, 300, 7174, 263, 12328, 4002, 306, 13645, 267, 16651, 8624, 712, 267, 312, 267, 311, 994, 7386, 1948, 296, 614, 622, 998, 782, 540, 519, 4570, 1491, 10945, 912, 7386, 585, 1775, 538, 4570, 12648, 306, 638, 4100, 912, 13376, 1948, 7476, 519, 4062, 602, 1131, 581, 3144, 607, 513, 1267, 540, 519, 1847, 912, 13376, 1491, 303, 19991, 4002, 306, 13645, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 9217, 314, 271, 3910, 328, 314, 272, 7481, 13376, 1948, 13425, 2436, 519, 4062, 602, 1131, 581, 3144, 568, 10691, 519, 3751, 269, 3097, 13376, 952, 1491, 303, 19991, 4002, 306, 13645, 10947, 303, 19991, 3890, 256, 6889, 21914, 13426, 23351, 1948, 7476, 519, 6268, 6060, 540, 519, 4062, 1210, 519, 1547, 1326, 24066, 6672, 30360, 3890, 1505, 540, 519, 21802, 303, 19991, 1362, 269, 3097, 23351, 4062, 24066, 6672, 30360, 815, 1491, 303, 19991, 4002, 306, 13645, 10947, 24066, 6672, 30360, 4590, 23351, 1948, 13729, 519, 1434, 31161, 1630, 18978, 3160, 547, 6936, 269, 3097, 23351, 1434, 31161, 815, 6936, 454, 23351, 10917, 303, 19991, 273, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 9217, 314, 271, 3910, 328, 314, 272, 7481, 23351, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 9217, 314, 271, 3910, 328, 314, 272, 3910, 4062, 4002, 306, 13645, 994, 23351, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 312, 267, 311, 994, 23351, 1948, 7476, 519, 17837, 2698, 4570, 10945, 269, 3097, 23351, 952, 6345, 8624, 712, 2652, 257, 342, 13426, 4449, 3546, 18545, 13707, 11749, 573, 306, 638, 4100, 267, 18545, 13707, 11749, 573, 12648, 306, 638, 4100, 267, 14500, 300, 7174, 267, 679, 27879, 656, 300, 7174, 815, 1582, 3052, 877, 10947, 13707, 32156, 300, 7174, 2891, 321, 5602, 23351, 3116, 912, 4449, 3546, 18545, 13707, 11749, 573, 306, 638, 4100, 267, 18545, 13707, 11749, 573, 12648, 306, 638, 4100, 267, 14500, 300, 7174, 267, 679, 27879, 656, 300, 7174, 815, 1582, 3052, 877, 10947, 13707, 32156, 300, 7174, 2891, 342, 15419, 23351, 1948, 296, 614, 622, 998, 1566, 9426, 13707, 11749, 573, 306, 638, 4100, 563, 23351, 585, 737, 538, 18545, 13707, 11749, 573, 12648, 306, 638, 4100, 912, 4449, 3546, 4062, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 17347, 314, 271, 3910, 737, 314, 272, 7481, 4449, 3546, 952, 4062, 2652, 4062, 4002, 306, 13645, 912, 4449, 7386, 1434, 31161, 815, 8771, 692, 23351, 1948, 31161, 519, 4773, 1394, 454, 23351, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 9217, 314, 271, 3910, 328, 314, 272, 7481, 23351, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 312, 267, 311, 267, 12328, 4002, 306, 13645, 994, 23351, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 9217, 314, 271, 3910, 328, 314, 272, 3910, 31184, 303, 19991, 273, 994, 23351, 1948, 2252, 519, 1655, 31161, 5575, 291, 3704, 1592, 568, 8900, 267, 1039, 713, 1847, 547, 621, 563, 23351, 4570, 12648, 815, 6936, 454, 23351, 952, 1655, 31161, 5575, 291, 3704, 2652, 1496, 14158, 4449, 3546, 1655, 31161, 5575, 291, 3704, 815, 1496, 12328, 24066, 6672, 30360, 267, 4062, 4002, 306, 13645, 267, 962, 267, 2473, 267, 1775, 314, 271, 3910, 1775, 314, 272, 316, 6540, 23351, 3116, 912, 4449, 3546, 10917, 16032, 31161, 815, 1496, 12328, 24066, 6672, 30360, 267, 4062, 4002, 306, 13645, 267, 962, 267, 2473, 267, 1775, 314, 271, 3910, 1775, 314, 272, 27663, 4449, 3546, 1948, 2252, 713, 1847, 568, 1732, 982, 519, 1847, 2907, 6740, 538, 519, 1655, 31161, 5575, 291, 3704, 1592, 267, 1287, 5372, 621, 609, 519, 1007, 1847, 563, 4449, 3546, 952, 10917, 16032, 31161, 314, 271, 316, 3436, 1655, 31161, 5575, 291, 3704, 314, 271, 14158, 4449, 7386, 1655, 31161, 5575, 291, 3704, 815, 10917, 16032, 31161, 692, 7386, 1948, 296, 614, 622, 998, 20231, 540, 519, 4570, 7575, 585, 1169, 4062, 281, 3097, 7386, 585, 1775, 538, 4570, 306, 638, 4100, 281, 3097, 13376, 1948, 31161, 519, 4062, 454, 13376, 952, 1582, 3052, 877, 18994, 306, 13645, 10387, 27679, 9217, 314, 271, 3910, 328, 314, 272, 8079, 2652, 8771, 912, 23351, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 312, 267, 311, 994, 23351, 1948, 1805, 648, 519, 4062, 602, 1131, 581, 3144, 896, 519, 4756, 2012, 10917, 303, 19991, 563, 23351, 10917, 303, 19991, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 9217, 314, 271, 3910, 328, 314, 272, 7481, 13376, 3116, 912, 23351, 10917, 303, 19991, 815, 834, 5016, 13376, 1948, 7476, 519, 4570, 306, 638, 4100, 543, 4570, 12648, 306, 638, 4100, 540, 519, 4062, 538, 922, 1007, 2990, 269, 3097, 13376, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 9217, 314, 271, 3910, 328, 314, 272, 3910, 12328, 4002, 306, 13645, 994, 13376, 4570, 306, 638, 4100, 291, 3704, 10521, 267, 4570, 12648, 306, 638, 4100, 291, 3704, 10521, 267, 14500, 300, 7174, 267, 679, 27879, 656, 300, 7174, 815, 1582, 10947, 303, 19991, 13707, 300, 7174, 263, 12328, 4002, 306, 13645, 267, 16651, 8624, 712, 267, 328, 314, 271, 3910, 328, 314, 272, 7481, 13376, 1948, 296, 614, 622, 998, 519, 4570, 12648, 306, 638, 4100, 291, 3704, 10521, 1592, 269, 3097, 13376, 585, 795, 538, 4570, 12648, 306, 638, 4100, 291, 3704, 10521, 912, 23351, 1948, 7476, 519, 4062, 602, 1131, 581, 3144, 607, 513, 1267, 540, 519, 1847, 543, 4558, 538, 4756, 1491, 303, 19991, 4002, 306, 13645, 269, 3097, 23351, 1491, 303, 19991, 4002, 306, 13645, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 27203, 314, 271, 3910, 329, 314, 272, 7481, 23351, 952, 1491, 303, 19991, 4002, 306, 13645, 256, 284, 3269, 543, 1491, 303, 19991, 4002, 306, 13645, 10947, 303, 19991, 3890, 256, 6889, 21914, 13426, 4449, 3546, 1948, 7476, 519, 6268, 6060, 540, 519, 3144, 4062, 1210, 519, 1547, 1326, 24066, 6672, 30360, 3890, 1505, 540, 519, 21802, 303, 19991, 1362, 563, 4449, 3546, 4062, 24066, 6672, 30360, 815, 1491, 303, 19991, 4002, 306, 13645, 10947, 24066, 6672, 30360, 4590, 4449, 3546, 1948, 13729, 519, 1434, 31161, 1630, 18978, 3160, 547, 6936, 269, 3097, 4449, 3546, 1434, 31161, 815, 6936, 454, 4449, 3546, 10917, 303, 19991, 273, 815, 1582, 3052, 877, 10947 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 600, 340, 267, 29422, 284, 3863, 17750, 14061, 20889, 3488, 30386, 604, 993, 340, 269, 21639, 3890, 2525, 29422, 269, 21639, 10031, 476, 1820, 3488, 13433, 5073, 12828, 912, 476, 1820, 3488, 7224, 5073, 0, 2459, 340, 815, 703, 263, 3863, 17750, 15405, 629, 6062, 815, 1496, 842, 3287, 264, 585, 1535, 538, 6151, 17750, 14061, 20889, 2891, 834, 264, 6540, 8999, 815, 476, 271, 454, 1721, 1535, 538, 705, 6062, 912, 453, 8999, 6834, 1535, 692, 2745, 4433, 636, 1315, 993, 14153, 994, 0, 2459, 340, 284, 4289, 263, 3863, 17750, 2891, 27363, 604, 7003, 263, 2459, 340, 264, 2525, 263, 2459, 340, 29644, 3488, 271, 10807, 266, 2459, 340, 29644, 3488, 272, 10807, 2187, 476, 1820, 2891, 13433, 5602, 12828, 281, 3097, 476, 1820, 2891, 7224, 5602, 0, 604, 2040, 9852, 777, 17301, 267, 3863, 17750, 2891, 20257, 20889, 2891, 834, 30727, 260, 273, 2525, 271, 912, 825, 1820, 2891, 16838, 5602, 12828, 912, 476, 1820, 2891, 15957, 5602, 0, 600, 340, 284, 3863, 17750, 2891, 5602, 753, 284, 5257, 454, 1721, 1535, 538, 993, 340, 912, 14851, 1535, 18994, 12294, 10031, 453, 453, 753, 284, 753, 21147, 269, 21639, 4590, 453, 19197, 1535, 18994, 21639, 10031, 453, 453, 753, 284, 753, 21147, 31573, 4590, 2745, 263, 753, 994, 0, 2459, 340, 25507, 263, 3863, 17750, 15405, 629, 6062, 284, 271, 454, 1721, 1775, 538, 2039, 263, 272, 267, 2459, 340, 2187, 476, 952, 993, 14153, 260, 328, 2525, 271, 912, 825, 705, 6062, 284, 328, 454, 604, 705, 6062, 285, 272, 912, 476, 1820, 18011, 13433, 5073, 12828, 912, 476, 1820, 18011, 7224, 5073, 0, 600, 745, 25507, 9272, 2891, 27363, 341, 2086, 284, 600, 745, 454, 341, 12541, 284, 271, 454, 6112, 263, 600, 745, 285, 271, 2187, 476, 2007, 284, 600, 745, 260, 1015, 454, 476, 642, 12541, 284, 341, 12541, 265, 1015, 266, 21745, 454, 476, 993, 745, 284, 600, 745, 2260, 1015, 454, 604, 17635, 2086, 2525, 341, 12541, 2187, 476, 1820, 2891, 13433, 5602, 12828, 912, 476, 1820, 2891, 7224, 5602, 0, 600, 340, 815, 6151, 17750, 4590, 6919, 815, 993, 340, 21858, 2891, 834, 264, 3097, 2908, 24552, 815, 1496, 5320, 11468, 18737, 272, 316, 585, 2262, 538, 1913, 316, 3097, 2908, 306, 27542, 815, 834, 834, 269, 21860, 28956, 24552, 994, 2745, 28956, 306, 27542, 264, 3097, 0, 258, 5814, 681, 303, 328, 14371, 18444, 302, 607, 13382, 22473, 454, 258, 5228, 942, 1104, 3207, 692, 3698, 1025, 1074, 630, 8930, 476, 2187, 825, 1948, 10472, 1187, 551, 24926, 517, 1025, 3855, 519, 3366, 4448, 547, 519, 5293, 998, 2823, 454, 825, 1948, 910, 11607, 269, 734, 8894, 476, 8173, 825, 13382, 22473, 269, 16059, 9638, 514, 267, 13382, 22473, 13034, 26996, 994, 825, 3207, 263, 272, 994, 825, 13382, 22473, 269, 16059, 9638, 514, 267, 13382, 22473, 11482, 8582, 994, 825, 3207, 263, 272, 994, 825, 13382, 22473, 269, 16059, 9638, 514, 267, 13382, 22473, 13034, 26996, 994, 825, 3207, 263, 272, 994, 825, 13382, 22473, 269, 16059, 9638, 514, 267, 13382, 22473, 11482, 8582, 994, 825, 3207, 263, 272, 994, 825, 13382, 22473, 269, 16059, 9638, 514, 267, 13382, 22473, 13034, 26996, 994, 825, 3207, 263, 272, 994, 825, 13382, 22473, 269, 16059, 9638, 514, 267, 13382, 22473, 11482, 8582, 994, 476, 8173, 2745, 9638, 514, 994, 8873, 454, 12163, 3698, 561, 662, 1575, 630, 11017, 267, 512, 2187, 825, 1948, 2490, 593, 519, 2016, 13382, 22473, 8930, 3366, 267, 585, 2016, 512, 942, 454, 825, 13382, 22473, 269, 16059, 9638, 514, 267, 13382, 22473, 13034, 26996, 994, 825, 3207, 6025, 994, 825, 13382, 22473, 269, 16059, 9638, 514, 267, 13382, 22473, 11482, 8582, 994, 476, 29185, 0, 258, 5358, 547, 6542, 4152, 3252, 593, 12673, 454, 258, 8191, 2433, 7054, 325, 534, 16679, 15011, 25428, 692, 1598, 815, 834, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 5016, 2745, 19304, 994, 2745, 2891, 529, 21639, 30775, 281, 5602, 2745, 19304, 18994, 21639, 15405, 2745, 10797, 2745, 2891, 529, 12294, 30775, 281, 5602, 2745, 19304, 18994, 12294, 15405, 2745, 10797, 2745, 2891, 529, 10401, 30775, 281, 5602, 2745, 19304, 18994, 10401, 15405, 2745, 10797, 2745, 2891, 529, 531, 11133, 30775, 281, 5602, 2745, 19304, 18994, 531, 11133, 15405, 2745, 10797, 2745, 2891, 529, 323, 13424, 30775, 281, 5602, 2745, 19304, 18994, 323, 13424, 15405, 2745, 10797, 2745, 2891, 626, 1856, 30775, 281, 5602, 2745, 19304, 269, 626, 1856, 15405, 2745, 10797, 2745, 2891, 1170, 10628, 30775, 281, 5602, 2745, 19304, 269, 1170, 10628, 15405, 2745, 10797, 2745, 2891, 11034, 1873, 603, 30775, 281, 5602, 2745, 19304, 269, 11034, 1873, 603, 3488, 320, 29125, 2745, 10797, 2745, 2891, 1742, 5976, 30775, 281, 5602, 2745, 19304, 269, 1742, 5976, 3488, 345, 29125, 2745, 3890 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5353, 523, 538, 476, 6977, 271, 267, 634, 5062, 22146, 25035, 729, 851, 631, 4106, 807, 25035, 543, 851, 11572, 9549, 25035, 269, 23850, 585, 946, 676, 6276, 5062, 22146, 630, 320, 5449, 11204, 4211, 531, 4613, 1014, 2506, 580, 7949, 540, 634, 2475, 1070, 609, 634, 11204, 2782, 3357, 1082, 968, 8624, 517, 1235, 892, 11836, 538, 547, 948, 1977, 17086, 7001, 4993, 630, 663, 4061, 267, 899, 4505, 6809, 753, 264, 1107, 17551, 741, 968, 785, 11163, 6100, 1452, 968, 15031, 686, 1824, 892, 2965, 24714, 547, 1106, 741, 1378, 968, 11847, 3016, 892, 630, 8117, 711, 8209, 1831, 513, 2475, 3557, 1040, 634, 19594, 25035, 729, 6659, 676, 971, 606, 11439, 631, 4106, 807, 269, 634, 2189, 968, 8624, 832, 892, 1397, 606, 476, 279, 7304, 539, 267, 6519, 543, 9791, 22367, 4771, 593, 519, 30810, 540, 519, 25035, 12197, 269, 769, 519, 5580, 2451, 22616, 517, 630, 6518, 729, 6519, 1070, 729, 606, 968, 514, 30062, 892, 476, 276, 15304, 10060, 630, 514, 4414, 1040, 769, 519, 2539, 1318, 6712, 540, 519, 9206, 729, 606, 968, 611, 6463, 892, 22616, 517, 630, 10193, 6519, 5608, 799, 12286, 513, 9466, 19594, 630, 1492, 3090, 540, 4993, 1040, 0, 8512, 540, 634, 26532, 638, 16695, 11270, 540, 13137, 267, 713, 5859, 568, 1419, 11855, 607, 519, 1101, 4013, 834, 290, 6350, 3547, 15178, 257, 540, 10617, 602, 1131, 581, 513, 20856, 675, 538, 2342, 543, 634, 5664, 12698, 585, 519, 1985, 476, 4335, 268, 15957, 1296, 269, 634, 2112, 729, 2965, 513, 26362, 540, 519, 631, 3233, 880, 2749, 540, 15016, 770, 549, 269, 23548, 684, 538, 476, 11793, 275, 589, 6185, 269, 910, 519, 15352, 538, 7507, 267, 12138, 4083, 267, 1185, 513, 1032, 4505, 910, 3459, 840, 2286, 834, 3128, 344, 2112, 257, 1996, 519, 7332, 1852, 540, 519, 2749, 269, 3509, 4168, 3401, 538, 2342, 267, 646, 5338, 1010, 1289, 910, 2366, 1507, 20679, 547, 1010, 5351, 269, 1452, 3864, 20679, 267, 519, 13557, 540, 799, 7768, 5097, 540, 3943, 543, 26990, 1495, 2103, 630, 24392, 898, 14900, 9539, 768, 753, 543, 5053, 15548, 607, 1134, 1070, 910, 15354, 593, 519, 5032, 540, 8050, 543, 3323, 741, 15292, 3592, 5612, 269, 2991, 513, 7142, 15292, 24654, 630, 5976, 2370, 547, 1100, 4187, 1070, 789, 3323, 741, 26362, 563, 9824, 550, 8393, 10514, 8973, 519, 4975, 267, 519, 5651, 16194, 575, 28207, 10692, 1130, 5050, 569, 1996, 873, 269, 24613, 856, 538, 3875, 29816, 4990, 625, 1996, 519, 12724, 19470, 267, 789, 941, 29041, 1394, 269, 589, 20314, 550, 540, 7671, 880, 29843, 4371, 519, 6240, 4155, 538, 543, 856, 540, 519, 4975, 269, 634, 7720, 832, 1223, 711, 2736, 741, 3515, 269, 634, 12724, 19470, 2705, 267, 1185, 741, 1378, 12194, 269, 4014, 519, 26362, 729, 2500, 910, 519, 7720, 832, 941, 711, 21704, 532, 269, 901, 26362, 6743, 607, 952, 621, 1131, 1831, 811, 1486, 26167, 602, 729, 17191, 630, 663, 972, 729, 519, 4250, 540, 631, 3233, 880, 12927, 906, 3138, 4040, 14386, 634, 16099, 540, 589, 10181, 12578, 543, 513, 3196, 540, 18280, 534, 29816, 5532, 909, 2282, 717, 1241, 320, 630, 2568, 268, 15957, 5195, 689, 30209, 264, 910, 543, 3323, 741, 4434, 547, 15016, 770, 549, 269, 5565, 811, 7142, 1786, 3737, 941, 2614, 585, 519, 631, 3233, 575, 28207, 269, 2991, 513, 476, 2412, 6377, 26362, 630, 663, 1100, 12927, 906, 264, 910, 789, 1147, 16781, 1229, 269, 15016, 770, 549, 729, 1631, 3768, 1030, 2105, 269, 1306, 729, 519, 2688, 267, 519, 7720, 832, 941, 4847, 547, 4734, 519, 4975, 630, 8974, 7916, 1040, 1323, 593, 16435, 4381, 4682, 883, 1198, 269, 634, 12724, 19470, 561, 2393, 539, 543, 14616, 519, 4975, 630, 6518, 17204, 519, 15352, 781, 3483, 1040, 898, 729, 1767, 602, 476, 2004, 267, 1822, 2367, 267, 2021, 543, 1453, 941, 2527, 659, 1042, 269, 670, 4007, 5666, 540, 14951, 543, 7727, 941, 3144, 269, 634, 2782, 585, 15016, 770, 549, 1131, 4196, 607, 513, 834, 29602, 5048, 257, 2366, 676, 5783, 7282, 834, 577, 2077, 1014, 16431, 2668, 901, 5048, 1131, 13469, 998, 7332, 6082, 585, 5553, 269, 3143, 3476, 1131, 2901, 2427, 1397, 1022, 1483, 23502, 2509, 741, 14763, 269, 0, 2026, 596, 11441, 547, 1332, 538, 707, 5718, 1983, 543, 5759, 267, 596, 786, 1265, 602, 519, 2796, 538, 799, 596, 960, 7506, 707, 8404, 543, 2127, 540, 1445, 269, 769, 513, 2147, 18916, 267, 707, 7029, 547, 3384, 24015, 666, 3565, 4724, 10721, 7145, 563, 2414, 602, 1439, 267, 621, 568, 2565, 547, 5431, 519, 2956, 540, 10721, 2528, 543, 2916, 269, 769, 1880, 267, 998, 713, 3018, 5889, 11366, 338, 4804, 8249, 267, 596, 949, 2015, 1896, 2055, 281, 1215, 798, 606, 3919, 5889, 11366, 338, 5692, 267, 5075, 267, 543, 2418, 9305, 547, 922, 2528, 286, 1548, 568, 519, 3017, 1063, 2528, 543, 2916, 286, 5047, 267, 875, 616, 2528, 543, 2916, 28955, 1369, 519, 3919, 888, 2690, 713, 17564, 267, 596, 2263, 519, 2528, 543, 2916, 540, 707, 1699, 3919, 610, 835, 609, 799, 596, 616, 5432, 269, 1411, 849, 2015, 3664, 543, 1554, 3562, 6377, 2853, 543, 519, 1259, 789, 9305, 547, 519, 3919, 5889, 11366, 338, 5692, 267, 5075, 267, 543, 2418, 563, 5889, 11366, 10634, 5623, 519, 1344, 1644, 547, 4058, 543, 3375, 1818, 538, 1072, 1416, 3906, 4843, 538, 519, 1837, 267, 15557, 32018, 543, 5004, 12793, 538, 16711, 281, 7869, 543, 13335, 269, 6333, 875, 4058, 543, 3375, 1818, 9305, 547, 606, 3919, 5889, 11366, 338, 5692, 267, 5075, 267, 543, 2418, 267, 607, 1134, 607, 922, 2528, 543, 922, 2916, 563, 5889, 11366, 10634, 25800, 3054, 609, 519, 5692, 267, 5075, 267, 543, 2418, 540, 707, 3919, 610, 835, 609, 799, 596, 616, 5432, 269, 6333, 875, 519, 6898, 543, 3527, 540, 3401, 543, 1866, 1369, 519, 3919, 1489, 610, 6542, 519, 10721, 5692, 267, 5075, 267, 543, 2418, 269, 769, 1840, 267, 4063, 1022, 7805, 27753, 1063, 2262, 543, 632, 539, 269, 6056, 827, 875, 713, 18922, 883, 6788, 585, 1463, 3028, 7426, 269, 8074, 1022, 1239, 610, 13742, 602, 3100, 547, 5815, 2436, 5615, 1369, 519, 3919, 616, 21412, 609, 922, 5692, 267, 5075, 267, 543, 2418, 563, 5889, 11366, 10634, 10670, 547, 4983, 543, 2992, 593, 519, 2528, 543, 2916, 540, 519, 3919, 269, 1215, 798, 2528, 543, 2916, 8428, 888, 5889, 11366, 10634, 4208, 568, 621, 1271, 585, 596, 267, 607, 513, 4487, 5889, 11366, 338, 1790, 10517, 1563, 12016, 6205, 267, 547, 581, 26256, 714, 656, 540, 891, 6927, 888, 763, 2022, 1548, 568, 519, 3017, 1063, 2528, 543, 2916, 286, 7902, 1101, 593, 3733, 16711, 12910, 14430, 563, 2171, 1683, 17096, 1863, 7084, 4267, 2854, 689, 15072, 269, 3776, 2228, 1557, 5830, 1683, 606, 1367, 1935, 547, 1169, 2582, 7084, 454, 2252, 596, 616, 3168, 585, 3728, 543, 6325, 2228, 1557, 1603, 948, 267, 596, 723, 1175, 15354, 593, 519, 1318, 2985, 269, 3245, 1631, 593, 267, 596, 666, 3247, 5855, 543, 7340, 827, 1603, 10467, 281, 707, 2852, 4574, 616, 2922, 609, 938, 2228, 4081, 5830, 454, 16704, 2207, 589, 590, 8379, 6579, 2752, 11536, 6347, 312, 654, 305, 3951, 307, 2894, 20978, 590, 10135, 2969, 6224, 0, 296, 4076, 5063, 2097, 1753, 689, 9702, 538, 3345, 3784, 1633, 269, 901, 14626, 3660, 609, 519, 1376, 540, 519, 7556, 1974, 543, 1018, 2038, 2413, 1004, 1572, 700, 2459, 553, 269, 3245, 519, 1376, 540, 4864, 267, 28870, 998, 1250, 1079, 4374, 1851, 519, 4610, 540, 5087, 7532, 4789, 267, 519, 9192, 3771, 1407, 1562, 7902, 543, 519, 29278, 5828, 689, 10568, 4610, 547, 20839, 1076, 1354, 938, 4064, 269, 901, 11733, 814, 1044, 519, 1482, 585, 5553, 269, 634, 476, 273, 526, 540, 4864, 814, 12926, 6825, 519, 1689, 689, 606, 14221, 7227, 585, 519, 7031, 547, 519, 1184, 540, 11018, 873, 630, 5408, 1250, 631, 1749, 28026, 2022, 593, 519, 14221, 7996, 1974, 1040, 1306, 609, 782, 30018, 5712, 543, 12119, 18819, 267, 713, 729, 1776, 1929, 1400, 1448, 538, 519, 1032, 540, 1689, 543, 7004, 269, 898, 729, 1776, 3184, 538, 519, 5993, 11706, 602, 8118, 609, 700, 2459, 553, 543, 4797, 2394, 3735, 5181, 609, 7812, 5733, 563, 299, 2459, 553, 814, 513, 1279, 1686, 15198, 1394, 547, 17454, 29509, 2053, 269, 3973, 3694, 1500, 689, 519, 28448, 19122, 10286, 1131, 581, 2759, 883, 2185, 543, 513, 10116, 5116, 538, 1142, 7944, 540, 3046, 985, 547, 2149, 519, 10286, 602, 1131, 3049, 1004, 585, 519, 1985, 1032, 269, 1284, 1810, 1406, 917, 952, 713, 2259, 4797, 883, 519, 2038, 2413, 1974, 855, 267, 538, 519, 476, 3707, 271, 338, 267, 21243, 3138, 2314, 10023, 2909, 1749, 610, 4646, 883, 519, 3337, 540, 10568, 1352, 2378, 338, 3323, 547, 581, 4843, 693, 5939, 593, 519, 1101, 10732, 540, 519, 3923, 269, 22628, 607, 519, 2262, 700, 2459, 553, 1223, 723, 6508, 689, 519, 17454, 29509, 2048, 327, 5055, 1030, 2173, 817, 685, 630, 5979, 2378, 2527, 1070, 713, 3095, 1063, 519, 7556, 543, 3694, 4667, 513, 1279, 835, 563, 15900, 2413, 1004, 11018, 538, 519, 7556, 1131, 2909, 573, 8970, 6564, 625, 602, 789, 1500, 689, 519, 2063, 11353, 540, 10568, 6967, 538, 519, 4610, 269, 901, 729, 5156, 519, 15972, 9409, 14326, 602, 1223, 21279, 3771, 341, 3949, 610, 1426, 8637, 630, 1492, 4160, 936, 7031, 2760, 2731, 705, 730, 267, 621, 1175, 2849, 335, 1117, 883, 32370, 827, 519, 9241, 10356, 3819, 5370, 1040, 1306, 2950, 986, 1027, 547, 9096, 16276, 519, 10286, 7031, 267, 8970, 6564, 625, 941, 2901, 16207, 883, 30240, 14252, 3046, 985, 676, 1259, 540, 26453, 582, 720, 610, 6854, 585, 1434, 9939, 563, 289, 2590, 532, 538, 519, 7556, 729, 2182, 960, 543, 865, 2978, 537, 516, 3464, 1522, 4324, 689, 4411, 10425, 3177, 676, 12820, 538, 519, 1106, 540, 627, 580, 630, 18478, 689, 765, 344, 267, 513, 676, 1790, 6055, 540, 10381, 2504, 1040, 717, 969, 848, 4460, 5069, 2934, 267, 538, 1010, 2296, 5600, 342, 1057, 540, 476, 14065, 276, 267, 5528, 547, 4558, 765, 344, 538, 513, 2048, 338, 11548, 6149, 6077, 685, 547, 3579, 621, 585, 627, 580, 799, 1223, 2048, 16435, 820, 519, 19818, 540, 1022, 11668, 532, 812, 2507, 685, 1358, 1522, 849, 581, 2016, 1426, 267, 543, 513, 4272, 2218, 7594, 950, 519, 960, 729, 936, 693, 519, 1439, 540, 519, 4005, 547, 1665, 2048, 9618, 4034, 1753, 9957, 634, 2859, 27971, 540, 9741, 2859, 2023, 1705, 713, 585, 741, 4600, 538, 476, 14341, 272, 543, 2451, 513, 2594, 538, 741, 6589, 540, 519, 3063, 1426, 789, 5423, 585, 519, 21649, 563, 19604, 4034, 729, 849, 519, 942, 547, 5965, 824, 3688, 971, 607, 19060, 1319, 338, 585, 32466, 610, 29295, 12450, 593, 552, 691, 1156, 19683, 799, 1131, 581, 5916, 609, 6653, 1159, 2454, 11922, 269, 5637, 540, 891, 941, 5916, 538, 519, 2048, 337, 2313, 12946, 685, 16873, 1141, 519, 2146, 1131, 5531, 543, 1459, 678, 16640, 585, 519, 2199, 5939, 269, 634, 5939, 1131, 849, 581, 2016, 4195, 543, 12015, 11922, 607, 851, 540, 519, 2699, 7675, 540, 519, 19683, 563, 19604, 4034, 1753, 729, 942, 547, 8661, 543, 13236, 513, 521, 662, 540, 8323, 1310, 519, 2182, 960, 540, 521, 12976, 267, 3395, 267, 7863, 267, 543, 11018, 519, 7031, 269, 634, 17237, 7934, 1354, 519, 7556, 729, 936, 543, 972, 729, 15260, 4269, 602, 519, 5993, 1184, 540, 17516, 1426, 2394, 1985, 4832, 729, 2347, 269, 674, 9229, 3771, 341, 3949, 941, 513, 1483, 7872, 538, 519, 2038, 2413, 1974, 543, 972, 941, 1896, 7839, 14286, 267, 1300, 340, 8765, 538, 519, 476, 14689, 271, 338, 269, 901, 729, 513, 942, 950, 26380, 729, 2141, 513, 1761, 1981, 593, 519, 16880, 269, 901, 4250, 2306, 519, 556, 14765, 6005, 543, 16873, 782, 519, 811, 896, 560, 762, 269, 1452, 2053, 540, 2146, 7908, 2032, 849, 3769, 519, 530, 1389, 799, 941, 2199, 14812, 13615, 547, 519, 2199, 5939, 779, 23920, 543, 741, 21649, 1554, 269, 7338, 570, 1380, 518, 538, 476, 14991, 274, 4330, 519, 530, 1389, 607, 513, 942, 950, 2048, 2507, 22336, 1616, 517, 949, 7544, 693, 1200, 786, 270, 13828, 8751, 7219, 609, 8751, 4802, 267, 543, 808, 1678, 514, 609, 28711, 19028, 763, 5177, 814, 1044, 7680, 13778, 3905, 4365, 713, 4832, 630, 1708, 273, 264, 543, 607, 594, 2328, 713, 267, 649, 616, 10010, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 3695, 519, 10167, 1063, 14100, 1143, 267, 2565, 3069, 267, 543, 5339, 9880, 267, 621, 781, 1898, 547, 1174, 602, 891, 7214, 5322, 2671, 513, 1455, 3804, 281, 547, 7866, 519, 1379, 6384, 11251, 1369, 2686, 13742, 543, 1514, 3889, 269, 5637, 31767, 543, 2565, 6436, 7153, 538, 3210, 547, 24041, 29678, 543, 922, 7390, 656, 3029, 540, 14226, 543, 28735, 269, 1635, 6313, 875, 2804, 2175, 3337, 1480, 9637, 543, 3347, 267, 891, 5380, 1683, 721, 609, 3407, 2645, 585, 16208, 3332, 543, 2528, 811, 17618, 780, 11321, 343, 626, 5339, 9880, 14405, 2390, 1883, 4030, 689, 20913, 14100, 543, 26179, 1621, 1564, 262, 960, 547, 5659, 519, 20748, 7516, 540, 5931, 543, 741, 3140, 8658, 269, 2311, 922, 4295, 6013, 519, 2856, 602, 1570, 6381, 3313, 938, 4978, 543, 2418, 282, 3976, 267, 29506, 1944, 519, 14227, 2175, 4478, 513, 2016, 960, 666, 22113, 24353, 10096, 25848, 3293, 676, 8789, 12496, 269, 5047, 267, 1317, 16851, 12346, 593, 32238, 1107, 519, 9668, 540, 2043, 689, 1312, 741, 4074, 543, 8284, 3425, 1107, 29267, 27965, 713, 1184, 3587, 14063, 950, 1814, 1172, 532, 28138, 3332, 780, 2690, 3236, 267, 2015, 14667, 645, 3224, 25612, 781, 654, 9801, 532, 1261, 2074, 267, 799, 2934, 3197, 4171, 2729, 616, 9598, 730, 676, 3959, 9562, 543, 1362, 21441, 269, 589, 31767, 2542, 1522, 11168, 875, 519, 3209, 19156, 519, 632, 16058, 1436, 530, 3754, 676, 24041, 13250, 267, 13031, 519, 2081, 538, 799, 5763, 10419, 340, 919, 9979, 540, 5208, 543, 7092, 1851, 519, 2324, 5049, 269, 3958, 267, 971, 513, 16472, 1223, 2263, 875, 519, 3209, 2591, 2757, 4008, 5107, 543, 6788, 267, 7551, 5356, 1761, 18817, 585, 4187, 1996, 26568, 1949, 780, 27287, 3069, 267, 29285, 267, 21040, 2390, 31767, 2093, 676, 6220, 4030, 689, 25164, 4519, 267, 23316, 267, 19795, 267, 543, 824, 10459, 269, 27505, 1229, 676, 5515, 899, 19124, 18148, 267, 23323, 528, 1520, 1941, 334, 267, 7665, 670, 1251, 10773, 267, 661, 5341, 3245, 332, 267, 29464, 16205, 2224, 267, 543, 808, 14660, 2102, 13206, 1069, 553, 267, 2565, 3069, 11394, 547, 16616, 6456, 1894, 540, 1379, 543, 3895, 26602, 760, 2218, 1689, 269, 4706, 8561, 593, 15834, 2409, 2636, 585, 13857, 13220, 540, 1585, 2686, 24299, 267, 7175, 5640, 547, 2272, 585, 10848, 1419, 15763, 676, 1487, 21063, 9382, 780, 1103, 7311, 2565, 3069, 547, 3332, 267, 649, 666, 4983, 875, 5931, 2992, 6626, 6848, 13253, 543, 32475, 269, 1280, 1383, 267, 5373, 2390, 22506, 1014, 25164, 24608, 10850, 267, 835, 1522, 8495, 519, 1909, 540, 17499, 13821, 538, 5935, 1915, 18144, 610, 2239, 9095, 338, 269, 17968, 267, 12561, 513, 15594, 5133, 5483, 676, 3244, 821, 632, 2142, 879, 341, 7546, 781, 16650, 1143, 1223, 8774, 1769, 593, 575, 25311, 2833, 543, 11269, 1369, 513, 1880, 960, 780, 2414, 9414, 713, 1935, 267, 1577, 781, 2490, 547, 9098, 26741, 325, 781, 11427, 269, 667, 9994, 599, 269, 3414, 1200, 6908, 6361, 23655, 1145, 32538, 267, 26741, 325, 27875, 519, 6418, 24187, 5185, 676, 16502, 22548, 20811, 667, 9994, 599, 607, 1352, 4044, 919, 513, 1554, 538, 2022, 28131, 2782, 594, 5507, 2486, 269, 16792, 2565, 3069, 1934, 6087, 3988, 547, 796, 24160, 4296, 1063, 1367, 2618, 545, 9620, 543, 3677, 1914, 19205, 4229, 693, 1404, 1282, 713, 5736, 1765, 4067, 569, 267, 519, 29886, 8194, 540, 2112, 267, 13346, 4008, 5107, 267, 543, 28928, 7082, 1143, 780, 3528, 2502, 609, 1312, 31767, 543, 2565, 6436, 267, 1053, 540, 3332, 666, 11349, 7347, 10763, 1983, 1247, 29947, 741, 7071, 585, 519, 15491, 2470, 540, 5931, 269, 5015, 267, 789, 786, 581, 1732, 9280, 547, 7119, 538, 5571, 7391, 827, 10296, 2152, 971, 607, 8635, 267, 3961, 6214, 267, 2825, 12159, 267, 543, 6639, 15002, 1143, 269, 1306, 971, 267, 10128, 891, 5380, 883, 1022, 3978, 1353, 540, 3860, 1603, 4564, 606, 16832, 1900, 4724, 5807, 7722, 15114, 543, 5009, 11636, 1514, 7004, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 300, 3008, 9898, 5508, 674, 12114, 8121, 4811, 5442, 595, 3918, 288, 20937, 654, 6020, 16249, 454, 268, 5441, 540, 27565, 8551, 454, 268, 23958, 23422, 15789, 454, 763, 631, 11902, 538, 11300, 5675, 1982, 568, 2966, 547, 948, 1053, 945, 616, 8149, 547, 28798, 741, 4739, 2417, 543, 1831, 11327, 3860, 5830, 998, 513, 27733, 538, 519, 7811, 543, 4052, 3344, 540, 1603, 269, 901, 2882, 519, 16548, 543, 7399, 540, 8313, 543, 2773, 543, 606, 14021, 6514, 543, 6268, 540, 519, 1053, 685, 1568, 896, 519, 5583, 540, 4810, 5830, 563, 9743, 2315, 568, 5342, 6140, 676, 11925, 267, 1519, 15964, 1055, 2275, 25283, 7886, 269, 1452, 11925, 2285, 519, 1053, 519, 4316, 547, 1865, 543, 3132, 3312, 1603, 538, 519, 2754, 540, 4810, 4648, 563, 10135, 310, 32133, 300, 13624, 3951, 32133, 300, 16520, 7869, 543, 29576, 10911, 310, 27151, 300, 13624, 3951, 27151, 300, 16520, 22564, 454, 10135, 310, 5952, 272, 300, 630, 517, 2072, 264, 19080, 5675, 454, 3080, 3332, 1528, 633, 547, 581, 6074, 689, 519, 10790, 7400, 9085, 15789, 610, 519, 1053, 949, 1904, 547, 18934, 538, 513, 476, 274, 15492, 595, 1758, 622, 1576, 6035, 676, 824, 8977, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 6579, 5308, 8008, 14176, 1315, 3778, 1299, 24028, 903, 1315, 7073, 1315, 14100, 1143, 543, 11879, 7869, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 272, 281, 4985, 547, 7612, 4787, 908, 692, 5970, 596, 2479, 14478, 4137, 1236, 11596, 1350, 4575, 30780, 593, 519, 4672, 267, 7900, 5863, 26357, 543, 30809, 286, 7612, 1236, 908, 568, 513, 4190, 543, 13858, 5162, 7328, 1141, 9845, 1397, 1055, 741, 1983, 267, 4222, 267, 543, 26274, 593, 519, 4672, 269, 901, 3184, 786, 6338, 596, 547, 519, 8748, 1158, 540, 4137, 1236, 908, 543, 1491, 596, 593, 513, 3460, 609, 835, 540, 922, 6801, 910, 589, 997, 807, 834, 13825, 13825, 257, 10060, 321, 3089, 780, 1432, 568, 7612, 4787, 908, 2496, 8201, 1236, 908, 568, 513, 7328, 5340, 593, 4672, 267, 1141, 2043, 267, 8424, 267, 610, 2516, 14892, 1585, 7575, 899, 26357, 267, 30809, 267, 3076, 1206, 267, 543, 3723, 1740, 269, 898, 10905, 7619, 6291, 267, 4480, 267, 543, 7499, 4082, 269, 26465, 525, 5957, 2027, 25192, 7923, 547, 6094, 4496, 19059, 267, 3850, 873, 547, 1847, 12347, 2066, 519, 4672, 780, 6637, 476, 273, 281, 3778, 540, 7612, 4787, 908, 692, 8201, 1236, 908, 814, 1044, 1472, 2094, 519, 2038, 476, 866, 628, 2540, 269, 1717, 267, 621, 7012, 1405, 2394, 476, 5002, 279, 950, 621, 1500, 922, 26813, 607, 606, 4013, 16727, 15604, 22505, 1282, 519, 5507, 10632, 269, 3683, 519, 1296, 267, 713, 17715, 7328, 7960, 267, 10962, 1007, 2609, 543, 2553, 1247, 4509, 922, 2189, 11100, 540, 5578, 543, 5898, 780, 6637, 476, 274, 281, 20821, 11835, 13825, 10060, 321, 3089, 692, 29820, 593, 27223, 781, 4303, 538, 476, 4198, 272, 538, 27257, 267, 17665, 267, 7330, 267, 589, 997, 807, 834, 13825, 13825, 257, 10060, 321, 3089, 3323, 1236, 908, 693, 513, 1360, 1762, 2085, 269, 4173, 6612, 585, 519, 7328, 3366, 1200, 547, 1831, 513, 1614, 6066, 2475, 30449, 4787, 908, 19598, 542, 543, 1079, 6066, 10493, 1014, 676, 519, 3735, 1412, 2568, 338, 543, 2038, 1412, 3583, 338, 269, 2991, 1427, 3931, 689, 6735, 267, 1352, 4797, 7700, 547, 4137, 1236, 908, 998, 18006, 267, 25287, 2762, 267, 543, 1256, 9117, 2439, 6637, 476, 275, 281, 15775, 20553, 4787, 908, 692, 3383, 267, 875, 1705, 11835, 13825, 3605, 1200, 2648, 585, 4137, 1236, 908, 286, 3509, 4137, 1236, 11596, 1376, 1175, 899, 1352, 1705, 1107, 3843, 856, 1114, 2238, 543, 9991, 538, 2648, 609, 519, 14815, 540, 23510, 593, 4672, 269, 1280, 1346, 5461, 538, 13197, 4137, 1236, 908, 267, 4466, 513, 2199, 678, 1074, 543, 19142, 909, 585, 4245, 568, 513, 1390, 1259, 547, 2253, 269, 2060, 11428, 267, 2182, 960, 267, 543, 6266, 540, 2259, 267, 4896, 666, 1451, 519, 9238, 543, 1020, 741, 1378, 2511, 780, 6637, 476, 276, 281, 29923, 9828, 692, 2467, 616, 2185, 1292, 2010, 540, 26357, 538, 4137, 1236, 908, 281, 23179, 8520, 267, 2892, 577, 578, 267, 16212, 267, 543, 561, 583, 345, 269, 3962, 7914, 3340, 1808, 6316, 1852, 267, 10047, 267, 543, 13941, 2553, 269, 1975, 1231, 2097, 538, 1082, 8677, 1932, 267, 1519, 4342, 601, 8095, 267, 1694, 8095, 267, 543, 2482, 3724, 8095, 269, 4804, 891, 1983, 3217, 9639, 543, 18094, 267, 855, 13215, 873, 5012, 547, 6909, 12644, 780, 6637, 476, 277, 281, 3203, 3588, 538, 18289, 692, 4407, 4480, 568, 2629, 538, 4137, 1236, 908, 267, 865, 568, 11589, 13951, 998, 3350, 543, 2575, 269, 932, 648, 20802, 1711, 13467, 602, 5031, 1142, 19002, 781, 9342, 543, 7209, 267, 1818, 1169, 2773, 2189, 269, 8779, 6979, 267, 17539, 267, 543, 4552, 849, 1404, 1898, 5107, 538, 7393, 519, 2949, 6881, 780, 6637, 476, 278, 281, 5510, 519, 10979, 692, 19423, 519, 4672, 267, 4137, 1236, 11596, 1590, 2226, 2168, 8516, 998, 5751, 899, 29478, 267, 15815, 919, 267, 543, 2597, 2866, 269, 7743, 6484, 543, 1964, 616, 8449, 1271, 585, 6099, 2773, 543, 6051, 269, 3958, 267, 2790, 7041, 4249, 513, 1713, 1909, 538, 5883, 2566, 267, 2679, 6015, 267, 543, 9363, 5059, 1354, 19194, 780, 9961, 1686, 267, 5515, 899, 11835, 13825, 10060, 321, 3089, 723, 3254, 721, 602, 4137, 1236, 908, 568, 1454, 811, 982, 1175, 513, 7328, 282, 621, 781, 606, 1148, 1106, 602, 25186, 10665, 543, 1770, 525, 1004, 5001, 269, 1924, 10544, 707, 1236, 919, 267, 1265, 707, 14282, 4672, 678, 1074, 267, 543, 7832, 593, 707, 1360, 1378, 4137, 1236, 908, 7045, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3080, 540, 519, 1419, 27492, 331, 10541, 5026, 267, 7612, 4787, 908, 267, 568, 11543, 23146, 7064, 547, 519, 7260, 594, 267, 25414, 320, 513, 4670, 827, 835, 971, 4137, 1606, 330, 831, 563, 3719, 267, 649, 616, 711, 1934, 547, 2911, 827, 519, 7260, 610, 519, 1390, 25414, 320, 269, 634, 2376, 6212, 593, 1776, 5182, 267, 11835, 14765, 10060, 321, 3089, 563, 2005, 729, 606, 5140, 8317, 585, 4672, 1236, 11596, 547, 6368, 1685, 519, 7328, 593, 606, 3486, 1377, 269, 7612, 1236, 908, 729, 519, 1101, 16727, 15604, 7328, 602, 3357, 883, 6228, 538, 476, 5002, 279, 563, 13825, 14765, 10060, 321, 3089, 2968, 513, 1614, 6066, 2136, 2276, 6292, 1236, 908, 22299, 543, 1079, 6066, 10493, 1014, 269, 4634, 693, 519, 2085, 540, 476, 3583, 267, 519, 1025, 27475, 8992, 1200, 2648, 585, 519, 7328, 602, 4957, 1200, 1272, 563, 290, 727, 267, 1577, 779, 513, 2370, 811, 827, 519, 3078, 1272, 540, 11835, 14765, 269, 2311, 519, 1482, 942, 267, 594, 786, 18836, 930, 1344, 593, 4137, 1236, 908, 563, 763, 2376, 2882, 1200, 2038, 1272, 267, 875, 1352, 3893, 883, 1236, 908, 267, 10060, 321, 3089, 779, 2121, 4502, 267, 543, 930, 3877, 593, 1200, 2123, 1272, 2336, 24820, 997, 807, 968, 13825, 13825, 892, 10060, 321, 3089, 454, 347, 21938, 476, 1691, 267, 476, 4198, 272, 454, 347, 10170, 13012, 6196, 454, 21270, 26309, 267, 17665, 267, 772, 2529, 563, 347, 276, 685, 278, 16357, 630, 272, 269, 4037, 544, 994, 347, 8201, 4787, 908, 267, 2920, 816, 454, 347, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8201, 4787, 908, 257, 607, 851, 540, 834, 16300, 16337, 1315, 11846, 1299, 28046, 1315, 15604, 11846, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 22175, 1968, 6807, 267, 3025, 2141, 1767, 4010, 1018, 789, 5921, 269, 1403, 2576, 729, 4743, 6126, 267, 789, 1131, 2161, 834, 296, 993, 7772, 995, 10590, 543, 952, 789, 941, 8909, 267, 789, 1131, 2161, 834, 296, 993, 29043, 1701, 1703, 729, 2760, 1022, 10539, 827, 875, 4896, 5433, 267, 1317, 741, 1913, 9985, 20083, 741, 4664, 780, 3080, 1554, 267, 513, 1007, 1920, 6410, 883, 4884, 269, 1358, 1185, 2097, 689, 513, 30152, 1747, 1572, 594, 3055, 6816, 267, 1141, 1004, 1031, 11913, 20451, 782, 519, 942, 269, 7638, 4472, 20451, 729, 950, 596, 1767, 835, 3364, 267, 855, 2731, 5921, 1776, 269, 1280, 1383, 267, 952, 2576, 593, 594, 3055, 6816, 12628, 741, 4672, 8645, 593, 519, 2666, 267, 789, 1522, 2161, 834, 17764, 1390, 267, 3501, 12557, 2437, 1256, 1498, 621, 7012, 1405, 1390, 610, 1434, 12557, 693, 782, 2439, 4263, 1101, 267, 519, 1004, 540, 22175, 1968, 6807, 4769, 1405, 1174, 1946, 519, 1007, 1920, 14437, 865, 9490, 569, 269, 1809, 1287, 267, 789, 7691, 602, 519, 1007, 1920, 781, 1913, 4371, 5728, 6835, 269, 1879, 519, 4651, 1767, 834, 1432, 4190, 4365, 649, 2811, 2348, 2221, 257, 1247, 621, 729, 26311, 4764, 3544, 267, 646, 2731, 5921, 834, 1607, 4365, 588, 3855, 10590, 1656, 950, 519, 3993, 1767, 834, 2791, 2386, 798, 917, 875, 547, 1118, 8949, 1426, 257, 1310, 512, 8463, 513, 26151, 16741, 267, 1352, 2731, 5921, 834, 312, 3089, 267, 713, 2115, 811, 2259, 15323, 2026, 519, 1004, 540, 22175, 1968, 6807, 4121, 547, 6432, 5402, 547, 519, 1007, 1920, 781, 1913, 267, 789, 3459, 547, 4584, 909, 593, 891, 6456, 10096, 269, 898, 2968, 899, 513, 1187, 3014, 267, 3843, 547, 4137, 856, 1018, 519, 1007, 1920, 2731, 5921, 676, 741, 1913, 269, 1717, 267, 930, 1004, 1336, 621, 2352, 547, 1832, 909, 609, 519, 3586, 7058, 1740, 543, 4956, 547, 2057, 6158, 547, 519, 1007, 1920, 15587, 780, 10190, 267, 835, 1554, 267, 513, 15265, 7088, 5734, 22175, 1968, 6807, 269, 15526, 10443, 547, 1491, 12062, 267, 1519, 519, 1007, 1920, 269, 1306, 519, 2842, 875, 1194, 543, 519, 4764, 23953, 1524, 267, 519, 4651, 6743, 856, 519, 6885, 543, 608, 13094, 267, 834, 32452, 267, 1413, 693, 1346, 17681, 12269, 10590, 22582, 267, 519, 1004, 540, 22175, 1968, 6807, 15422, 1010, 9490, 1259, 540, 6340, 269, 12984, 646, 1373, 26878, 2880, 286, 9894, 646, 2965, 2972, 519, 7088, 286, 2107, 6148, 646, 729, 14126, 267, 543, 3274, 11589, 5128, 8335, 982, 789, 941, 1031, 547, 286, 769, 519, 1439, 267, 1100, 835, 1223, 2995, 585, 2386, 267, 6028, 519, 1004, 540, 22175, 1968, 6807, 609, 513, 3407, 3992, 827, 6947, 5702, 543, 6236, 2789, 5380, 1354, 1818, 10054, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 3963, 568, 11913, 20451, 1419, 2808, 519, 23698, 547, 3713, 538, 4633, 888, 19723, 4472, 20451, 568, 1419, 2808, 519, 23698, 547, 3713, 538, 4633, 1317, 621, 3322, 519, 946, 540, 1913, 602, 6655, 513, 2495, 602, 568, 6587, 547, 267, 610, 1114, 689, 267, 741, 21055, 2495, 269, 901, 1797, 602, 519, 10584, 781, 1913, 949, 3100, 3551, 543, 21055, 267, 855, 741, 3159, 267, 2796, 267, 543, 824, 13865, 10291, 2303, 602, 789, 616, 2965, 6031, 1945, 1114, 269, 23618, 532, 11913, 20451, 3976, 3340, 513, 4999, 540, 6297, 3007, 547, 519, 10584, 781, 1913, 543, 606, 1620, 540, 519, 2796, 538, 799, 789, 616, 6340, 269, 3958, 267, 1004, 723, 1114, 2157, 540, 8417, 547, 20451, 543, 949, 711, 581, 5432, 610, 6899, 609, 922, 946, 538, 1978, 3871, 610, 4529, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 3848, 476, 272, 281, 4985, 547, 24695, 1729, 613, 2762, 910, 634, 5530, 540, 7233, 17392, 692, 303, 1506, 1729, 613, 2762, 568, 513, 7936, 540, 6915, 613, 2762, 602, 6212, 593, 519, 3892, 540, 2371, 2066, 1114, 4525, 543, 9249, 269, 901, 2361, 11394, 547, 1174, 1946, 1978, 2030, 2249, 616, 1336, 538, 1808, 2127, 1247, 1866, 616, 15534, 269, 1635, 4974, 32443, 1729, 613, 7240, 3270, 267, 3744, 666, 2744, 4030, 883, 12105, 1686, 267, 8733, 3347, 267, 543, 5726, 14422, 780, 4089, 476, 272, 269, 272, 281, 11790, 18748, 532, 7233, 17392, 692, 24456, 3892, 568, 6766, 676, 1896, 2188, 267, 1519, 2916, 267, 27177, 267, 3037, 1826, 267, 17027, 1686, 267, 543, 1480, 2534, 269, 4197, 891, 2188, 2337, 721, 5660, 875, 1950, 543, 6422, 519, 2067, 1158, 568, 269, 1280, 1383, 267, 930, 2030, 2249, 949, 723, 7522, 20296, 7109, 1734, 267, 12145, 741, 2039, 547, 1880, 4234, 6421, 610, 31556, 269, 6684, 267, 2189, 3037, 2010, 610, 17027, 2934, 1522, 1683, 5078, 7226, 585, 4686, 610, 21049, 2249, 269, 5274, 2238, 971, 607, 2244, 946, 1689, 543, 4367, 540, 12362, 2249, 849, 1404, 1713, 5107, 538, 5935, 2030, 14778, 780, 4089, 476, 272, 269, 273, 281, 8466, 21126, 593, 24695, 1729, 613, 2762, 692, 763, 1353, 540, 32443, 1729, 613, 2762, 7389, 1394, 547, 3504, 2053, 950, 2038, 15806, 543, 2067, 1235, 3459, 11008, 1944, 2371, 1759, 593, 741, 13664, 12136, 269, 1717, 267, 621, 7012, 1405, 2394, 519, 3735, 13524, 2540, 602, 2413, 32443, 1729, 613, 2762, 7153, 607, 513, 3982, 9015, 267, 7064, 7361, 547, 519, 960, 540, 7762, 534, 626, 12138, 13153, 670, 3518, 1245, 339, 269, 3571, 14262, 29293, 7000, 9836, 3270, 538, 10664, 3892, 267, 3056, 1864, 547, 15974, 4909, 3741, 1869, 13057, 1382, 2221, 780, 4089, 476, 272, 269, 274, 281, 7351, 12367, 543, 12694, 538, 24695, 1729, 613, 2762, 692, 1103, 2487, 1296, 267, 8441, 538, 6552, 15392, 2029, 267, 22127, 6176, 7010, 630, 31043, 1070, 543, 12985, 9781, 723, 19117, 32443, 1729, 613, 2762, 269, 1452, 2645, 1450, 3173, 547, 5659, 1804, 14449, 17364, 5318, 8901, 10253, 267, 13031, 3209, 3270, 543, 3157, 6117, 2030, 3892, 269, 11048, 267, 2591, 2611, 267, 3226, 3823, 1239, 2298, 267, 32301, 267, 543, 10333, 269, 18601, 891, 2152, 3340, 15834, 5698, 543, 5499, 3435, 780, 6637, 476, 273, 281, 8865, 5525, 538, 24695, 1729, 613, 2762, 910, 10289, 18963, 543, 22948, 692, 1607, 3184, 12538, 4514, 883, 5697, 2013, 2090, 10223, 1883, 2035, 543, 2409, 1031, 538, 32443, 1729, 613, 7240, 1382, 269, 3962, 2013, 1353, 14550, 875, 10128, 3309, 4485, 2488, 3407, 4030, 883, 519, 6127, 12044, 2030, 3892, 780, 4089, 476, 273, 269, 272, 281, 8053, 2033, 7736, 655, 1143, 538, 519, 15729, 7579, 2065, 16323, 267, 3162, 4000, 692, 21026, 4000, 781, 15729, 7579, 2065, 16323, 14747, 11108, 9265, 267, 1519, 3875, 1395, 339, 2033, 21049, 2030, 2249, 9862, 547, 1164, 3887, 4582, 566, 5054, 269, 24356, 519, 10256, 540, 713, 7415, 4763, 3091, 4245, 10858, 11992, 269, 11790, 971, 607, 7823, 10575, 3424, 267, 2916, 14251, 725, 267, 543, 3595, 20816, 2170, 547, 3337, 891, 2950, 267, 3246, 2565, 2796, 585, 17782, 2104, 2242, 896, 2518, 8337, 7653, 780, 4089, 476, 273, 269, 273, 281, 645, 648, 531, 5983, 7370, 543, 8693, 7827, 692, 289, 648, 531, 7733, 13822, 3047, 781, 4102, 18714, 27354, 267, 15198, 2066, 7187, 20195, 14901, 543, 3345, 3013, 269, 1358, 22426, 5215, 540, 2030, 2249, 6213, 547, 2837, 15088, 269, 1306, 27643, 8511, 3154, 5434, 3136, 8375, 267, 16004, 531, 4104, 8134, 3068, 13778, 6937, 1813, 547, 12012, 19717, 20816, 267, 11641, 17061, 267, 543, 7989, 2378, 15543, 555, 1177, 532, 269, 15766, 908, 519, 6043, 540, 16004, 531, 18508, 547, 3140, 543, 4207, 2916, 10593, 28279, 2994, 585, 25137, 891, 4105, 1949, 8015, 23960, 2825, 1689, 780, 4089, 476, 273, 269, 274, 281, 12124, 24695, 1729, 613, 13132, 910, 19662, 543, 4790, 571, 6493, 692, 31413, 8916, 1459, 1312, 3255, 543, 10148, 585, 2030, 6668, 269, 2755, 20012, 1419, 2164, 538, 7226, 2530, 543, 26610, 267, 4872, 849, 2709, 3209, 12137, 1127, 5885, 6397, 2249, 31174, 1137, 269, 22718, 2030, 2146, 2497, 1369, 4683, 5468, 8761, 3270, 5532, 547, 14227, 2188, 267, 5989, 1374, 267, 543, 2359, 2853, 269, 6270, 1344, 10274, 3646, 547, 3986, 4683, 9265, 543, 3895, 4264, 1646, 780, 6962, 1384, 8139, 32443, 1729, 613, 2762, 568, 1898, 585, 10188, 938, 5051, 10562, 1158, 269, 3414, 11826, 3621, 7634, 267, 649, 10625, 6946, 4296, 1063, 7103, 543, 741, 1604, 267, 27283, 11444, 4724, 2500, 19642, 540, 3047, 781, 10475, 2200, 269, 16871, 713, 4161, 7569, 7279, 267, 5876, 267, 543, 7029, 1107, 7907, 7915, 538, 1169, 2875, 540, 2257, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 28319, 328, 13259, 1176, 320, 31155, 342, 14865, 9234, 11535, 1473, 648, 3045, 25555, 9980, 8896, 4530, 630, 291, 4953, 264, 476, 1708, 273, 585, 12854, 1520, 3939, 476, 1708, 273, 267, 15233, 3767, 454, 6395, 309, 309, 667, 4953, 476, 1708, 273, 1107, 8061, 328, 13259, 1176, 320, 31155, 342, 14865, 9234, 11535, 630, 6395, 309, 309, 264, 1473, 648, 20217, 2228, 3498, 585, 519, 814, 5950, 519, 16362, 531, 9980, 8896, 4530, 476, 1708, 273, 585, 1520, 3939, 547, 12854, 5358, 6035, 538, 1585, 5396, 585, 519, 4081, 8400, 476, 1708, 273, 563, 2467, 616, 11207, 476, 14138, 276, 7477, 17473, 6035, 713, 942, 269, 15443, 573, 919, 945, 616, 7996, 585, 519, 6514, 1184, 616, 15695, 547, 3277, 547, 519, 24722, 3135, 543, 4647, 519, 981, 3877, 1287, 3277, 621, 8499, 563, 4942, 291, 9980, 8896, 11929, 630, 291, 4953, 264, 476, 1708, 273, 4927, 581, 4371, 538, 519, 1739, 5396, 630, 9032, 264, 1152, 454, 268, 11930, 11061, 282, 19446, 282, 11930, 9119, 282, 5851, 3163, 282, 4437, 17190, 282, 19639, 7695, 282, 30911, 282, 5020, 3163, 282, 15636, 1415, 282, 5004, 282, 11061, 282, 9119, 282, 25642, 282, 13639, 3163, 282, 8950, 3163, 282, 14997, 2329, 282, 4578, 3163, 1299, 5983, 26511, 282, 8447, 4065, 282, 13188, 282, 8212, 282, 4065, 282, 11572, 3163, 282, 18329, 9012, 282, 4317, 4518, 282, 22997, 282, 24205, 282, 18329, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 5020, 7070, 1315, 15636, 1415, 1315, 24695, 1729, 613, 2762, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1158, 540, 2780, 5752, 267, 4481, 2519, 593, 13419, 3293, 2372, 2044, 5678, 630, 21415, 264, 543, 922, 27564, 10137, 267, 17317, 1116, 5678, 270, 1805, 19099, 2372, 2044, 5678, 630, 12195, 13478, 10258, 1070, 1031, 5097, 585, 5883, 1239, 4371, 538, 513, 4039, 1049, 5004, 3590, 630, 305, 5960, 1040, 634, 1349, 3177, 5713, 607, 513, 20457, 585, 938, 4901, 267, 10771, 519, 2956, 540, 3608, 1239, 2359, 543, 23023, 1949, 269, 1635, 13215, 14069, 543, 12813, 13478, 10258, 267, 596, 3513, 7668, 3054, 609, 2645, 2556, 547, 1628, 7347, 12240, 5827, 540, 7829, 1950, 14511, 1247, 4180, 6099, 2773, 780, 2162, 14069, 910, 25043, 540, 4578, 28294, 1637, 692, 4263, 922, 4295, 267, 14069, 568, 513, 3616, 541, 894, 1893, 2966, 585, 13214, 532, 267, 29780, 267, 21130, 267, 18111, 1154, 5638, 538, 681, 5960, 338, 269, 898, 6087, 3755, 547, 2170, 609, 11295, 1239, 7561, 1510, 20468, 827, 5817, 6388, 3877, 269, 6969, 11362, 4514, 883, 4359, 2934, 6035, 676, 14069 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 729, 2507, 513, 627, 25891, 476, 1724, 20271, 2510, 4769, 685, 344, 21898, 547, 8917, 269, 769, 1249, 267, 972, 941, 513, 6071, 476, 16409, 20271, 894, 16018, 5641, 602, 1554, 269, 6904, 1797, 9291, 595, 268, 7906, 1223, 723, 1044, 20366, 1524, 563, 296, 1174, 1762, 3807, 514, 2558, 8775, 879, 814, 2944, 4986, 855, 2322, 1010, 3723, 538, 621, 593, 713, 835, 269, 3571, 3375, 547, 1489, 9291, 595, 268, 7906, 543, 519, 17860, 1145, 952, 1010, 1585, 1175, 5874, 723, 3366, 547, 513, 1434, 569, 2179, 540, 10982, 599, 856, 1934, 538, 519, 1158, 1141, 4961, 616, 14126, 827, 519, 544, 5297, 2530, 540, 3540, 23118, 4947, 938, 1259, 563, 3719, 3079, 540, 556, 4621, 18790, 1010, 2990, 267, 6004, 269, 570, 25653, 538, 1010, 31623, 543, 27229, 10288, 1010, 631, 11679, 547, 1246, 1010, 1291, 538, 5885, 519, 32685, 528, 560, 9086, 4516, 814, 2479, 2938, 269, 2558, 8775, 879, 779, 30671, 547, 1394, 3950, 538, 519, 3068, 540, 5013, 568, 24188, 540, 6004, 269, 21972, 752, 2469, 1524, 609, 1010, 1378, 6928, 538, 519, 2063, 14411, 9550, 269, 9320, 6004, 269, 2558, 8775, 879, 568, 14126, 646, 1522, 581, 15034, 540, 695, 11035, 6879, 958, 532, 952, 646, 4957, 1010, 2247, 269, 2107, 3168, 4617, 267, 610, 18174, 880, 267, 610, 8726, 563, 3719, 519, 1249, 3788, 267, 519, 835, 3364, 6004, 269, 2558, 8775, 879, 1522, 723, 2944, 547, 11222, 4106, 622, 5128, 543, 1010, 5428, 779, 8458, 1131, 723, 1044, 547, 23900, 19597, 622, 11685, 547, 519, 32049, 9086, 269, 1403, 646, 814, 5249, 547, 2327, 1169, 2582, 1875, 15926, 969, 894, 12463, 20366, 1996, 9291, 595, 268, 7906, 646, 1131, 723, 3144, 5413, 540, 6004, 269, 22489, 779, 13398, 5142, 630, 1492, 812, 5128, 4769, 1406, 1256, 21898, 547, 1397, 909, 543, 8917, 585, 1010, 1378, 10555, 17318, 9291, 264, 543, 20366, 9291, 595, 268, 7906, 1524, 563, 9617, 514, 2558, 8775, 879, 4503, 856, 593, 513, 5929, 4316, 547, 1205, 519, 4212, 1055, 1010, 3068, 676, 3478, 9291, 595, 268, 7906, 16207, 856, 269, 1403, 646, 8952, 713, 909, 267, 646, 786, 581, 18822, 952, 1010, 5428, 21314, 547, 13793, 593, 547, 8772, 1747, 4567, 2097, 5239, 563, 7069, 2338, 2097, 689, 7046, 12057, 779, 966, 1774, 1948, 4375, 276, 593, 2904, 476, 277, 628, 267, 476, 1001, 276, 454, 312, 2464, 966, 5588, 2464, 12971, 966, 5588, 2464, 9474, 4306, 2894, 16739, 454, 299, 537, 529, 1773, 600, 5064, 19863, 324, 4793, 787, 454, 312, 2464, 966, 5588, 2464, 12971, 966, 5588, 2464, 9474, 4306, 2894, 16739, 454, 291, 1014, 324, 2806, 23127, 322, 5414, 18281, 12138, 454, 15812, 1520, 2401, 3223, 603, 12891, 7615, 454, 8867, 7431, 3397, 1663, 330, 6390, 336, 3627, 645, 1515, 323, 454, 25405, 19186, 553, 20717, 576, 645, 622, 2006, 454, 19604, 1245, 1325, 3691, 19816, 18536, 9466, 454, 300, 833, 19395, 14339, 25362, 3626, 334, 613, 454, 1805, 7578, 19264, 2401, 25599, 29325, 330, 14259, 454, 305, 7431, 19264, 13427, 15537, 22489, 454, 21659, 1656, 619, 15608, 20182, 454, 21837, 18722, 8061, 5407, 1744, 800, 454, 291, 1511, 11709, 918, 652, 7967, 454, 30681, 11709, 10753, 534, 454, 2690, 806, 1696, 667, 2946, 332, 4531, 520, 773, 454, 312, 2464, 966, 5588, 2464, 12971, 966, 5588, 2464, 9474, 4306, 2894, 16739, 454, 269, 14639, 6363, 3757, 9809, 12251, 30038, 846, 14639, 6363, 3757, 9809, 12251, 10783, 514, 454, 312, 2464, 966, 5588, 2464, 12971, 966, 5588, 2464, 9474, 4306, 2894, 16739, 454, 269, 23745, 5754, 518, 454, 269, 10906, 2904, 454, 312, 2464, 966, 5588, 2464, 12971, 966, 5588, 2464, 9474, 4306, 2894, 16739, 454, 9928, 2714, 12448, 338, 7136, 24982, 623, 659, 31899, 1656, 28584, 13852, 822, 766, 454, 299, 28515, 9549, 540, 4516, 454, 312, 2464, 966, 5588, 2464, 12971, 966, 5588, 2464, 9474, 4306, 2894, 16739, 454, 292, 557, 17566, 15168, 787, 1635, 337, 928, 454, 300, 4768, 559, 645, 2946, 9734, 28199, 26960, 454, 10111, 565, 2106, 26999, 9116, 700, 1047, 853, 5937, 523, 529, 454, 312, 2464, 966, 5588, 2464, 12971, 966, 5588, 2464, 9474, 4306, 2894, 16739, 454, 269, 29346, 19395, 570, 10455, 821, 645, 839, 7219, 454, 269, 24898, 4911, 639, 24839, 15243, 454, 269, 715, 5942, 12891, 2023, 2441, 710, 18703, 454, 269, 5981, 2311, 16120, 523, 14150, 16205, 268, 4517, 28584, 5651, 514, 454, 269, 7917, 589, 889, 514, 27526, 1723, 548, 5695, 17745, 454, 269, 6754, 2088, 15718, 8403, 454, 269, 932, 1301, 12578, 645, 3073, 454, 305, 3578, 31130, 645, 4592, 572, 879, 454, 303, 18824, 667, 542, 928, 6997, 16279, 454, 305, 657, 2033, 16910, 2946, 700, 1030, 20623, 341, 516, 454, 269, 1325, 664, 717, 580, 340, 27056, 454, 269, 7338, 25109, 322, 1515, 454, 2304, 928, 3687, 327, 268, 1320, 340, 2372, 778, 454, 9213, 972, 786, 581, 513, 17547, 9291, 595, 268, 7906, 15292, 538, 28881, 518, 1496, 1877, 779, 513, 4786, 2639, 3519, 1356, 2740, 4961, 786, 4734, 27293, 5244, 693, 476, 276, 281, 876, 10975, 543, 15292, 547, 15117, 5244, 563, 763, 15292, 786, 581, 4553, 676, 4901, 543, 513, 3046, 2041, 4302, 538, 15117, 5244, 563, 4002, 14349, 972, 786, 581, 513, 5254, 8008, 645, 21135, 595, 268, 7906, 12164, 23615, 294, 9970, 693, 12057, 10830, 267, 17501, 569, 693, 519, 5274, 7126, 31790, 267, 1141, 7255, 4961, 786, 13889, 713, 23487, 995, 6069, 9086, 630, 9690, 569, 1354, 519, 14130, 264, 602, 786, 11904, 8225, 3540, 2924, 20038, 2495, 1652, 269, 5019, 3949, 786, 1586, 581, 4371, 538, 513, 4516, 22453, 667, 17751, 5508, 8028, 3582, 269, 1703, 616, 21772, 1373, 11231, 547, 1491, 7255, 4961, 689, 17842, 547, 31747, 563, 4692, 6598, 3540, 2924, 616, 9277, 547, 581, 6870, 676, 519, 8225, 9291, 540, 7126, 5189, 676, 20271, 894, 11788, 10579, 3627, 667, 3971, 523, 321, 6033, 543, 519, 8225, 25943, 540, 7126, 543, 6154, 539, 1682, 267, 851, 540, 519, 8225, 9139, 1065, 27074, 730, 676, 27565, 11788, 10579, 24839, 2558, 8775, 879, 269, 1452, 2924, 649, 723, 616, 1759, 593, 519, 17629, 16672, 540, 5274, 7126, 563, 1607, 568, 10691, 513, 851, 16388, 3390, 267, 713, 568, 513, 8225, 3390, 281, 649, 20231, 991, 3540, 2924, 563, 2005, 568, 16155, 796, 6247, 6627, 547, 21556, 891, 2924, 267, 543, 2943, 6004, 269, 22489, 4566, 547, 798, 621, 19037, 630, 663, 814, 1044, 865, 2484, 1044, 17847, 2685, 6462, 676, 519, 27565, 9549, 4700, 9877, 540, 6645, 596, 1018, 519, 22489, 6554, 14659, 540, 938, 9139, 563, 763, 7354, 2209, 616, 8197, 851, 16388, 799, 814, 1044, 8810, 942, 543, 1586, 607, 11788, 3687, 8651, 689, 20574, 25109, 337, 2292, 547, 14639, 932, 337, 18863, 1329, 547, 15537, 22489, 723, 8810, 676, 10518, 532, 519, 14130, 1586, 543, 1586, 543, 1586, 607, 519, 14130, 2488, 922, 12285, 16826, 547, 5051, 3983, 9086, 563, 1805, 686, 6137, 23671, 540, 3540, 543, 1480, 2924, 20038, 786, 711, 1118, 721, 2922, 282, 602, 568, 519, 8262, 17389, 563, 290, 2753, 2924, 2149, 721, 563, 2252, 519, 14130, 5205, 2059, 899, 13265, 593, 606, 3390, 540, 713, 9588, 267, 606, 3390, 602, 16716, 693, 519, 2295, 540, 1169, 8225, 267, 621, 1131, 759, 895, 5944, 6961, 602, 972, 568, 1100, 4126, 585, 713, 1560, 547, 2479, 1683, 23671, 609, 865, 828, 2034, 2219, 267, 543, 594, 786, 6368, 2097, 547, 3858, 609, 6004, 269, 25109, 322, 1515, 779, 9837, 547, 4894, 621, 689, 519, 8225, 2797, 5251, 950, 1010, 715, 7894, 3029, 2229, 713, 2887, 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 ]
[ 815, 1582, 6983, 691, 318, 767, 1315, 476, 1015, 269, 271, 454, 1038, 1533, 314, 273, 316, 815, 1582, 4877, 3421, 314, 271, 4940, 4120, 1315, 476, 271, 269, 277, 2764, 31696, 454, 1038, 1533, 314, 274, 316, 815, 1582, 4877, 3421, 314, 271, 4940, 767, 1315, 476, 276, 269, 271, 454, 1038, 1533, 314, 275, 316, 815, 1582, 4877, 3421, 314, 272, 4940, 4120, 1315, 476, 271, 269, 277, 2764, 31696, 454, 1038, 1533, 314, 276, 316, 815, 1582, 4877, 3421, 314, 272, 4940, 767, 1315, 476, 1724, 269, 271, 454, 1038, 2132, 1533, 692, 825, 1219, 7047, 318, 3147, 14682, 1508, 318, 767, 4311, 267, 7047, 318, 767, 2187, 1038, 533, 318, 1721, 806, 815, 476, 271, 269, 271, 454, 1038, 2698, 21223, 8997, 7272, 3421, 8548, 817, 815, 476, 271, 269, 271, 454, 1038, 585, 533, 538, 1582, 4877, 3421, 912, 2018, 10889, 815, 1582, 4877, 6958, 878, 2608, 533, 269, 767, 1315, 630, 335, 6230, 817, 2608, 533, 19544, 318, 6352, 264, 1341, 1582, 3052, 571, 6143, 2608, 5609, 9638, 269, 4120, 994, 2018, 3196, 815, 533, 6230, 817, 2608, 533, 19544, 318, 6352, 2608, 533, 269, 767, 1262, 273, 2608, 5609, 9638, 269, 4120, 264, 1341, 595, 4097, 2608, 533, 6230, 817, 2608, 5430, 9638, 269, 4120, 264, 2608, 10889, 454, 2018, 533, 318, 1721, 806, 6834, 3196, 454, 2018, 2698, 21223, 8997, 7272, 3421, 8548, 817, 6834, 533, 6230, 817, 2608, 630, 272, 910, 595, 4097, 2608, 5430, 9638, 269, 4120, 264, 1262, 273, 2020, 1038, 7047, 318, 3147, 815, 1582, 269, 1952, 29736, 318, 4403, 910, 1582, 6983, 691, 6958, 878, 2608, 5286, 4732, 793, 6262, 691, 318, 767, 264, 1341, 533, 318, 1721, 806, 454, 1038, 7047, 318, 3147, 1315, 284, 1582, 6983, 691, 8548, 817, 1341, 2698, 21223, 8997, 7272, 3421, 8548, 817, 692, 1038, 2132, 7047, 318, 3147, 692, 825, 1219, 15393, 318, 3147, 14682, 1508, 318, 767, 4311, 267, 533, 267, 15393, 318, 767, 2187, 1038, 533, 269, 3147, 815, 910, 290, 4097, 9706, 19544, 318, 6352, 2608, 630, 1345, 6983, 691, 318, 3147, 2608, 5430, 9638, 269, 4120, 264, 30492, 4449, 3546, 1582, 3052, 571, 6143, 2608, 5609, 9638, 269, 4120, 264, 1341, 1582, 4877, 6958, 878, 2608, 15393, 318, 767, 1315, 630, 335, 6230, 817, 2608, 533, 19544, 318, 6352, 4917, 1038, 2132, 533, 269, 3147, 692, 825, 1219, 9337, 26077, 4311, 2187, 1038, 1582, 28333, 6834, 1582, 28333, 14067, 788, 692, 1038, 1582, 6983, 691, 318, 767, 815, 2196, 613, 17624, 583, 3279, 275, 4311, 6983, 691, 318, 767, 267, 1582, 6983, 691, 318, 3147, 14682, 1508, 318, 767, 267, 1582, 28333, 14067, 788, 994, 1038, 585, 15393, 538, 1582, 4877, 3421, 912, 2018, 15393, 269, 767, 815, 2196, 613, 17624, 583, 3279, 275, 318, 1721, 7272, 3421, 9638, 1961, 267, 1582, 4877, 1961, 318, 3147, 14682, 1508, 318, 767, 267, 1582, 28333, 14067, 788, 2020, 1038, 1582, 6983, 691, 318, 3147, 815, 1582, 6983, 691, 318, 3147, 14682, 1508, 318, 767, 4311, 6983, 691, 318, 767, 2020, 1038, 1582, 6983, 691, 29223, 6834, 1582, 28333, 14067, 788, 2608, 1582, 6983, 691, 318, 767, 692, 1038, 585, 15393, 538, 1582, 4877, 3421, 912, 2018, 15393, 269, 4120, 6834, 1582, 28333, 14067, 788, 2608, 15393, 269, 767, 454, 2018, 1582, 4877, 1961, 318, 3147, 14682, 1508, 318, 767, 9638, 1961, 267, 15393, 269, 767, 2020, 1038, 952, 711, 910, 1345, 6745, 571, 1188, 318, 3916, 527, 10922, 1582, 6983, 691, 29223, 10922, 1582, 6745, 571, 1188, 318, 3916, 527, 912, 2018, 1582, 8807, 9229, 815, 6936, 454, 2018, 1948, 1820, 3488, 9199, 1188, 3970, 3111, 693, 3299, 1582, 6983, 691, 29223, 2020, 1038, 585, 533, 538, 1582, 4877, 3421, 912, 2018, 952, 711, 910, 1345, 4877, 6958, 19691, 318, 4120, 10922, 533, 269, 4120, 10922, 1582, 4877, 6958, 19691, 318, 4120, 912, 3546, 1582, 8807, 9229, 815, 6936, 454, 3546, 1948, 1820, 3488, 303, 1961, 3111, 3299, 533, 19544, 318, 6352, 267, 533, 269, 4120, 994, 3546, 1948, 2132, 454, 2018, 952, 711, 910, 295, 3201, 293, 318, 18444, 10922, 533, 269, 4120, 10922, 670, 3201, 293, 318, 18444, 912, 3546, 952, 533, 269, 4120, 3436, 670, 3201, 293, 318, 18444, 912, 7386, 533, 269, 4120, 815, 670, 3201, 293, 318, 18444, 454, 3546, 8640, 533, 269, 4120, 2999, 910, 295, 3201, 293, 318, 18444, 912, 7386, 533, 269, 4120, 815, 910, 295, 3201, 293, 318, 18444, 454, 3546, 533, 269, 767, 2608, 284, 910, 271, 269, 280, 454, 0, 5228, 7510, 13906, 9884, 785, 578, 1104, 32001, 692, 30720, 815, 32001, 4590, 916, 326, 284, 3403, 2891, 6518, 3662, 798, 596, 1616, 547, 1294, 8119, 2020, 534, 2711, 284, 30720, 269, 22056, 318, 4944, 1679, 10797, 604, 20444, 326, 2525, 257, 335, 580, 13426, 825, 3662, 269, 13548, 6889, 335, 580, 26666, 4840, 604, 20444, 326, 2525, 257, 7806, 13426, 825, 3662, 269, 13548, 6889, 7806, 26666, 4840, 604, 20444, 326, 2525, 257, 339, 9528, 13426, 825, 3662, 269, 13548, 6889, 339, 9528, 26666, 4840, 604, 20444, 326, 2525, 257, 25717, 13426, 825, 3662, 269, 13548, 6889, 25717, 26666, 5016, 21653, 284, 3403, 2891, 6011, 827, 519, 2450, 286, 19515, 534, 2711, 269, 29173, 284, 15615, 4433, 1125, 9239, 343, 284, 3403, 2891, 6011, 827, 519, 1535, 286, 5602, 534, 2711, 11859, 284, 15615, 3287, 9239, 344, 284, 3403, 2891, 6011, 827, 519, 586, 286, 5602, 534, 2711, 13885, 284, 15615, 12169, 2020, 320, 284, 6358, 2891, 6011, 827, 519, 10047, 5602, 534, 2711, 269, 8527, 566, 284, 15615, 5416, 2020, 2745, 263, 534, 2711, 11859, 2437, 2437, 267, 534, 2711, 13885, 267, 534, 2711, 269, 13548, 267, 534, 2711, 269, 29173, 267, 534, 2711, 269, 8527, 566, 2020, 30720, 269, 14725, 3890, 0, 3698, 2241, 17653, 1807, 29222, 28399, 825, 840, 272, 815, 476, 272, 1477, 825, 840, 273, 815, 476, 272, 1477, 825, 2040, 19368, 815, 476, 272, 1477, 825, 6556, 2040, 19368, 1477, 825, 585, 1775, 538, 2039, 630, 271, 267, 476, 276, 8029, 1038, 6556, 2040, 19368, 1477, 1038, 2040, 19368, 815, 840, 272, 1341, 840, 273, 1477, 1038, 840, 272, 815, 840, 273, 1477, 1038, 840, 273, 815, 2040, 19368, 5897, 1721, 1871, 538, 2241, 17653, 1807, 29222, 28399, 825, 1820, 263, 7407, 3418, 672, 0, 1477, 3698, 1293, 263, 3916, 527, 8029, 825, 524, 815, 476, 271, 1477, 825, 1247, 524, 10922, 3970, 281, 5897, 1038, 6556, 524, 1477, 1038, 524, 6834, 476, 272, 5897, 2102, 815, 1293, 263, 274, 3418, 2745, 630, 10113, 263, 2102, 17903, 2745, 630, 10113, 263, 2102, 17903, 2745, 630, 10113, 263, 2102, 17903, 2745, 630, 10113, 263, 2102, 17903, 2745, 630, 10113, 263, 2102, 17903, 2745, 630, 10113, 263, 2102, 17903, 258, 585, 1775, 538, 1024, 6769, 258, 672, 1820, 630, 328, 10142, 0, 5814, 2979, 692, 19399, 10310, 5992, 2971, 7462, 454, 7462, 2475, 2207, 667, 9128, 2562, 3633, 14030, 16875, 476, 7462, 454, 19399, 10310, 5992, 2971, 7462, 692, 258, 7464, 9577, 454, 3698, 535, 3287, 2187, 825, 2132, 2979, 269, 6523, 3287, 2020, 258, 16186, 454, 343, 318, 9792, 815, 1496, 271, 267, 476, 272, 269, 273, 6540, 258, 11352, 454, 4650, 815, 476, 274, 692, 258, 2473, 20976, 1493, 454, 343, 318, 1952, 815, 476, 271, 269, 276, 692, 19399, 10310, 5992, 2971, 7462, 454, 7462, 8668, 2207, 9569, 14030, 17264, 476, 7462, 454, 19399, 10310, 5992, 2971, 7462, 692, 14310, 815, 476, 271, 454, 21163, 815, 630, 343, 318, 9792, 314, 272, 316, 910, 1535, 318, 9792, 314, 271, 8079, 1315, 1931, 692, 1721, 1775, 538, 2039, 263, 4650, 1341, 476, 272, 2187, 825, 1535, 26371, 815, 1535, 318, 9792, 314, 271, 316, 1341, 1775, 2608, 1900, 454, 825, 586, 26371, 815, 535, 3287, 26371, 994, 825, 1003, 815, 476, 272, 454, 825, 3954, 636, 815, 476, 272, 454, 825, 585, 795, 538, 2039, 263, 4650, 1341, 476, 272, 2187, 1038, 952, 9217, 2525, 329, 2567, 3136, 454, 1038, 1535, 318, 852, 815, 1535, 318, 9792, 314, 271, 316, 1341, 795, 2608, 1900, 454, 1038, 1003, 2608, 284, 1535, 318, 1952, 910, 1535, 318, 852, 454, 1038, 3954, 636, 2608, 284, 1535, 26371, 910, 1535, 318, 852, 454, 825, 1267, 6834, 586, 26371, 2608, 1003, 1315, 3954, 636, 692, 2745, 3488, 4910, 738, 2433, 22207, 1267, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1557, 267, 689, 922, 2596, 4214, 547, 519, 1883, 4162, 602, 1118, 585, 606, 2502, 543, 2500, 1557, 269, 476, 1704, 2123, 3594, 602, 786, 1689, 707, 1272, 1589, 3594, 616, 1175, 1945, 19309, 596, 2328, 585, 1362, 891, 25704, 786, 1118, 596, 11207, 556, 29264, 563, 2252, 707, 7084, 568, 547, 2328, 513, 2123, 1557, 267, 596, 666, 798, 621, 1134, 609, 891, 476, 279, 4388, 585, 1603, 513, 2123, 1557, 602, 31438, 476, 279, 3268, 547, 1603, 519, 3501, 2123, 1557, 476, 279, 3268, 547, 269, 3245, 2048, 331, 1161, 685, 547, 2048, 19640, 2648, 685, 281, 1603, 2123, 3594, 609, 948, 689, 519, 1007, 26294, 2053, 855, 1705, 596, 917, 602, 562, 344, 9392, 1260, 849, 5781, 2934, 2123, 1603, 593, 513, 1747, 585, 269, 4828, 3932, 1806, 875, 547, 1439, 606, 1557, 949, 581, 513, 16602, 2243, 267, 2523, 952, 707, 4081, 3446, 5673, 593, 519, 1957, 596, 616, 2324, 593, 596, 1058, 1902, 930, 942, 543, 4674, 269, 18567, 540, 513, 2123, 14436, 1557, 621, 568, 3483, 995, 14436, 1603, 1281, 711, 1611, 795, 31857, 1524, 29578, 540, 4555, 607, 789, 1402, 883, 707, 2212, 269, 15689, 540, 519, 2123, 1557, 713, 960, 676, 1490, 662, 600, 1762, 6280, 268, 573, 22840, 568, 13931, 896, 513, 3860, 862, 976, 5316, 1081, 5991, 517, 1260, 14293, 476, 1789, 796, 19959, 12689, 3723, 518, 563, 1700, 26051, 4162, 1557, 1107, 663, 723, 606, 968, 28436, 892, 1557, 630, 2254, 18593, 2567, 519, 2189, 6381, 610, 1272, 2833, 1557, 512, 332, 1091, 553, 17022, 3498, 3594, 3040, 26051, 3948, 3040, 18314, 269, 476, 276, 4388, 585, 1603, 513, 1434, 2239, 1557, 676, 28479, 766, 1603, 1603, 513, 2239, 1557, 568, 606, 1898, 13007, 585, 2361, 1382, 2864, 982, 2040, 2719, 1919, 909, 585, 707, 5467, 267, 621, 269, 12726, 2564, 1153, 2123, 6898, 1205, 7608, 547, 707, 1283, 3903, 2564, 1153, 609, 707, 8903, 1557, 1224, 476, 1015, 3732, 3594, 269, 7454, 2626, 281, 972, 616, 2596, 3604, 1063, 513, 2123, 1557, 267, 799, 568, 5059, 593, 513, 3661, 610, 5813, 827, 1272, 602, 568, 1713, 547, 519, 5856, 267, 543, 519, 1079, 824, 3029, 540, 2123, 563, 288, 2123, 1557, 568, 11295, 899, 1034, 2757, 2947, 24733, 4588, 3594, 596, 1376, 609, 606, 2606, 5037, 602, 5713, 607, 513, 4990, 540, 4155, 4786, 585, 707, 1557, 269, 18567, 540, 1114, 2010, 540, 1557, 281, 4063, 281, 609, 782, 519, 2010, 540, 17720, 4640, 5018, 2630, 267, 649, 616, 711, 6158, 827, 1557, 2010, 267, 855, 827, 17720, 6163, 799, 269, 589, 2123, 1557, 568, 513, 1650, 4904, 609, 4606, 267, 4992, 267, 16198, 267, 6252, 547, 803, 267, 6252, 547, 3025, 11214, 9361, 1524, 693, 513, 2780, 563, 12709, 3732, 3594, 2123, 2189, 4162, 1383, 23504, 1557, 593, 835, 781, 2189, 7907, 5528, 2433, 1018, 7907, 610, 2189, 4162, 798, 596, 4865, 602, 1131, 269, 14484, 633, 1557, 676, 4214, 568, 513, 2186, 540, 1603, 602, 3340, 519, 2278, 547, 1217, 519, 5467, 827, 1010, 610, 1200, 10182, 267, 2856, 610, 12705, 3823, 513, 2016, 1888, 4244, 569, 269, 1323, 1557, 568, 513, 5888, 602, 1219, 1742, 513, 2990, 610, 6644, 267, 849, 1572, 513, 5098, 267, 602, 814, 1044, 2322, 8521, 676, 519, 2278, 711, 1152, 1058, 606, 1557, 6542, 707, 2949, 1702, 540, 519, 269, 0, 5804, 476, 3707, 273, 547, 476, 3707, 276, 267, 721, 3744, 5249, 593, 513, 5728, 1982, 1572, 519, 812, 21908, 1788, 519, 1101, 10570, 10514, 1011, 3941, 693, 620, 600, 690, 867, 334, 267, 1007, 30067, 4815, 593, 5104, 569, 476, 1626, 267, 476, 3707, 276, 26119, 941, 3710, 538, 554, 534, 5112, 267, 11067, 2023, 543, 18073, 25170, 267, 512, 16612, 606, 7650, 540, 519, 1883, 2621, 540, 1158, 2112, 13797, 269, 476, 3199, 267, 1822, 910, 1004, 945, 5747, 14678, 538, 554, 30090, 267, 30978, 267, 593, 27362, 476, 277, 267, 476, 3707, 276, 267, 950, 519, 1101, 2479, 10570, 10514, 729, 1031, 538, 2112, 519, 3009, 2012, 269, 476, 277, 267, 476, 3707, 276, 1310, 602, 12556, 995, 1554, 267, 519, 2497, 729, 519, 1152, 3364, 1869, 7555, 538, 519, 519, 1101, 6046, 10514, 5921, 547, 6146, 3425, 1011, 10757, 936, 554, 30090, 267, 30978, 267, 593, 713, 2376, 786, 2689, 875, 6046, 23038, 960, 267, 1519, 875, 789, 2811, 3710, 1547, 476, 277, 267, 476, 3707, 276, 267, 519, 721, 12628, 513, 2706, 14049, 593, 554, 30090, 267, 30978, 267, 543, 9250, 513, 693, 476, 279, 281, 1428, 993, 267, 519, 12284, 12628, 519, 1101, 10570, 10514, 1031, 538, 29053, 267, 959, 3861, 1223, 711, 11716, 519, 1249, 602, 519, 3375, 547, 1628, 519, 10514, 693, 513, 1942, 540, 1269, 273, 30740, 713, 2070, 941, 11673, 540, 519, 2164, 540, 519, 4323, 11783, 1358, 4312, 1044, 1472, 2094, 519, 1101, 10570, 10514, 729, 12628, 593, 554, 30090, 593, 11160, 476, 277, 267, 476, 3707, 276, 6046, 4255, 538, 519, 683, 341, 3385, 9390, 1500, 25487, 12269, 513, 1455, 8289, 538, 968, 30061, 15483, 18571, 892, 630, 3707, 276, 1070, 28489, 32364, 650, 731, 14415, 564, 563, 301, 13086, 9604, 543, 519, 15583, 566, 540, 519, 4411, 2112, 267, 476, 3707, 276, 268, 3422, 273, 2223, 538, 9642, 818, 928, 7178, 611, 1282, 1158, 2112, 13797, 267, 1614, 2477, 4956, 547, 1628, 519, 10570, 10514, 281, 1547, 634, 1101, 10570, 23038, 941, 2966, 543, 3710, 693, 513, 3135, 538, 17485, 620, 32115, 267, 16354, 267, 593, 5104, 569, 476, 1626, 267, 476, 3707, 276, 267, 519, 1158, 9411, 519, 6046, 2085, 609, 519, 1033, 29396, 540, 519, 1101, 269, 808, 29122, 1727, 523, 10773, 267, 1419, 1572, 519, 1412, 15289, 540, 519, 10570, 10514, 10086, 3366, 519, 812, 21908, 1788, 267, 519, 1982, 602, 2919, 519, 1101, 6046, 14049, 1282, 1158, 2112, 1310, 29997, 532, 689, 1010, 2022, 538, 476, 3707, 276, 267, 646, 2968, 519, 28579, 540, 519, 7819, 3282, 1119, 1723, 517, 795, 875, 731, 22153, 718, 13797, 1500, 24657, 609, 1010, 563, 29619, 519, 8087, 2829, 1033, 517, 730, 1079, 10570, 23038, 936, 519, 29534, 4872, 1982, 1282, 1158, 2112, 13797, 602, 2919, 543, 3710, 891, 1101, 10570, 23038, 593, 5104, 569, 476, 1626, 267, 476, 3707, 276, 519, 1101, 6046, 10514, 729, 1033, 517, 730, 538, 519, 2038, 6640, 269, 2201, 27362, 476, 277, 267, 476, 3707, 276, 267, 519, 8087, 2829, 4957, 519, 3068, 540, 13137, 950, 621, 12628, 606, 2229, 1982, 4646, 547, 31205, 1628, 543, 1449, 606, 10570, 10514, 27362, 476, 277, 267, 3707, 276, 281, 519, 1101, 10570, 10514, 547, 581, 1031, 607, 513, 14049, 568, 12628, 593, 7650, 18083, 1004, 2046, 522, 3387, 644, 338, 2006, 28303, 269, 11137, 554, 30090, 10969, 730, 676, 513, 476, 1724, 4893, 582, 517, 6046, 16411, 5045, 21562, 3710, 5722, 6046, 9604, 1210, 713, 1374, 267, 855, 2357, 604, 22239, 24905, 1194, 476, 1626, 5104, 569, 476, 3707, 276, 267, 721, 4255, 1101, 6046, 3926, 267, 9625, 736, 737, 339, 267, 726, 583, 28016, 5579, 8531, 267, 959, 6541, 269, 10812, 519, 1283, 5498, 4038, 7819, 1788, 547, 1628, 519, 1158, 781, 1101, 10570, 10514, 538, 5104, 569, 476, 3707, 276, 267, 17485, 620, 32115, 3744, 6707, 1011, 10757, 519, 1101, 10570, 10514, 269, 8616, 267, 2094, 476, 3707, 276, 267, 950, 519, 721, 12628, 10570, 23038, 593, 30978, 267, 13314, 814, 1044, 3238, 538, 519, 737, 17671, 2112, 267, 519, 642, 28126, 2112, 267, 519, 1101, 575, 5285, 563, 2026, 519, 1283, 5498, 4038, 1544, 547, 1628, 519, 10514, 267, 1572, 519, 812, 21908, 1788, 267, 3576, 2808, 519, 1101, 10570, 22342, 267, 14646, 1309, 597, 333, 29589, 729, 5555, 513, 9006, 7431, 1232, 11736, 540, 513, 476, 3707, 275, 5048, 7000, 602, 1344, 10503, 269, 634, 5305, 540, 1079, 10570, 23038, 593, 30978, 538, 27362, 476, 3707, 276, 5280, 1439, 1158, 2112, 13797, 855, 2394, 13314, 781, 1101, 3811, 10570, 10514, 1449, 538, 5104, 569, 476, 3707, 276, 267, 922, 3003, 968, 1492, 10514, 1500, 621, 2009, 585, 519, 8087, 2829, 547, 798, 8726, 621, 4941, 538, 27164, 6337, 602, 9676, 811, 982, 4397, 3698, 6873, 269, 11660, 23484, 538, 519, 476, 4350, 271, 338, 1500, 10570, 10514, 2504, 2009, 950, 27437, 1147, 16781, 1229, 538, 949, 476, 3707, 276, 267, 519, 812, 21908, 1788, 1185, 711, 711, 547, 581, 7983, 821, 267, 519, 865, 341, 2884, 9769, 1011, 10757, 922, 1101, 22243, 3000, 13086, 563, 2304, 568, 5361, 328, 20987, 538, 861, 6319, 814, 12628, 519, 1101, 6046, 10514, 18611, 538, 11439, 4655, 2094, 519, 721, 12628, 10570, 23038, 593, 554, 30090, 543, 562, 698, 30245, 538, 476, 3707, 276, 267, 540, 519, 1625, 19959, 6046, 16411, 855, 1714, 3660, 922, 3312, 6609, 267, 855, 741, 1867, 849, 1500, 1100, 2446, 540, 1022, 6046, 1033, 29396, 269, 2311, 476, 1556, 281, 6349, 993, 593, 27362, 476, 280, 267, 476, 3707, 276, 267, 519, 7819, 536, 268, 3066, 2706, 3228, 816, 536, 4169, 8364, 267, 538, 3406, 540, 1007, 17633, 941, 3710, 267, 543, 1007, 13039, 607, 1134, 267, 2094, 519, 22344, 1007, 3889, 941, 849, 6659, 607, 18189, 338, 267, 971, 607, 519, 10570, 10514, 9754, 562, 698, 30245, 3788, 1101, 543, 19466, 513, 2823, 2749, 267, 5885, 513, 3638, 11288, 269, 674, 2153, 267, 519, 2596, 1184, 602, 2306, 6046, 9604, 2009, 267, 729, 1101, 4362, 538, 23891, 4231, 540, 602, 1032, 267, 513, 21997, 676, 519, 2012, 540, 9267, 614, 536, 6139, 1500, 513, 269, 9741, 7911, 10514, 12628, 593, 554, 30090, 267, 1500, 609, 20879, 268, 20720, 689, 18073, 25170, 4070, 10986, 945, 20651, 519, 575, 730, 8664, 689, 476, 3707, 273, 547, 476, 3707, 276, 1648, 267, 799, 2488, 513, 8748, 7650, 540, 519, 2749, 781, 29053, 2250, 2601, 519, 5544, 729, 6074, 585, 519, 812, 21908, 1788, 538, 519, 1101, 1747, 269, 634, 2360, 540, 513, 6046, 10514, 4096, 513, 2603, 593, 519, 4463, 540, 519, 1033, 29396, 8185, 3710, 6405, 5656, 267, 543, 28896, 1935, 476, 1911, 2600, 538, 1134, 518, 7322, 781, 6609, 267, 519, 1034, 32049, 2460, 540, 554, 30090, 729, 519, 1004, 4769, 1405, 8275, 693, 1101, 602, 741, 2749, 1185, 1044, 5734, 676, 513, 6046, 14049, 563, 23871, 6541, 729, 519, 3009, 2012, 540, 519, 1101, 1033, 29396, 540, 513, 6046, 14049, 621, 729, 5342, 676, 519, 8087, 2829, 7952, 693, 476, 276, 281, 3066, 993, 593, 5104, 569, 476, 1626, 267, 476, 3707, 276, 267, 513, 3490, 3786, 729, 9112, 267, 543, 972, 941, 476, 28883, 1004, 1459, 593, 519, 15964, 540, 519, 1449, 519, 3009, 2012, 519, 8654, 2360, 581, 1375, 1563, 6609, 519, 2898, 2197, 269, 670, 30090, 267, 30978, 281, 27362, 476, 277, 628, 267, 476, 3707, 276, 519, 10570, 10514, 8593, 476, 6110, 7397, 689, 513, 10918, 6881, 593, 6249, 281, 554, 30090, 543, 562, 698, 30245, 519, 1101, 543, 1152, 946, 540, 6046, 9604, 538, 1158, 1686, 621, 3576, 13977, 1296, 547, 1628, 713, 26720, 593, 1870, 1544, 533, 696, 593, 6216, 6725, 4214, 533, 696, 593, 1158, 6561, 1554, 269, 12846, 267, 519, 4589, 3494, 602, 19580, 781, 6046, 9604, 6006, 335, 850, 814, 649, 5173, 602, 811, 982, 476, 10219, 267, 1822, 6046, 2112, 21650, 723, 1044, 3710, 2094, 476, 3707, 276, 267, 609, 476, 7871, 737, 2077, 27255, 568, 513, 1071, 27236, 547, 519, 1158, 6046, 4229, 7650, 538, 519, 2104, 3463, 267, 519, 5756, 6619, 281, 476, 1960, 280, 1700, 1708, 271, 2223, 729, 1101, 4080, 676, 269, 634, 1158, 781, 1101, 6046, 9604, 16411, 593, 5104, 569, 476, 1626, 267, 476, 3707, 276, 267, 538, 1007, 30067, 4815, 267, 855, 621, 9307, 547, 519, 1158, 602, 15242, 1185, 519, 3621, 917, 24376, 547, 1628, 513, 563, 293, 8986, 602, 562, 21532, 27437, 1131, 1628, 543, 946, 513, 6046, 14049, 1282, 1158, 1079, 540, 799, 267, 2370, 7911, 543, 3170, 812, 267, 941, 1031, 1996, 30978, 538, 27362, 476, 3707, 276, 519, 3375, 547, 6749, 519, 1101, 10570, 10514, 593, 30978, 786, 2611, 4143, 547, 938, 269, 12834, 543, 4214, 281, 519, 10570, 10514, 568, 513, 6046, 14049, 602, 606, 10570, 10514, 593, 519, 1004, 540, 554, 30090, 267, 30978, 593, 27362, 476, 277, 267, 476, 3707, 276, 543, 835, 593, 519, 1101, 1449, 540, 519, 10570, 10514, 729, 1500, 1282, 519, 812, 21908, 1788, 593, 5104, 569, 476, 1626, 11783, 769, 27362, 476, 3707, 276, 267, 519, 8087, 2829, 12628, 1079, 10570, 23038, 936, 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 ]
[ 0, 12385, 24136, 2433, 1975, 5390, 654, 902, 454, 763, 3483, 540, 713, 7084, 568, 547, 1020, 1053, 685, 5759, 454, 1729, 9192, 519, 1702, 540, 10855, 7194, 4988, 538, 1284, 4060, 454, 272, 543, 476, 273, 543, 835, 1606, 2217, 8367, 4152, 547, 1118, 31707, 454, 20657, 2888, 269, 769, 713, 7084, 267, 1053, 786, 1020, 519, 2702, 547, 454, 2224, 8579, 2079, 543, 13182, 2436, 610, 711, 513, 3409, 568, 4570, 454, 29592, 10229, 621, 563, 267, 1975, 5390, 654, 902, 8865, 5530, 267, 1975, 5390, 654, 902, 4578, 5590, 454, 14946, 320, 476, 10384, 30087, 8579, 2079, 563, 5825, 26433, 20696, 7194, 547, 12337, 513, 2268, 540, 454, 704, 18504, 3627, 666, 946, 547, 5659, 1010, 6765, 2773, 269, 4855, 454, 1492, 1739, 585, 707, 3800, 912, 26668, 5991, 3784, 5758, 593, 519, 2698, 942, 454, 3519, 2265, 320, 6101, 8367, 4152, 547, 948, 3627, 454, 20657, 728, 2436, 547, 2709, 519, 6765, 10018, 610, 711, 563, 15307, 574, 520, 9220, 5506, 540, 606, 1931, 2921, 3476, 454, 22474, 476, 1789, 3764, 563, 13014, 320, 16252, 538, 513, 2110, 2239, 454, 10175, 519, 1739, 912, 17780, 593, 519, 25541, 1239, 267, 1058, 3627, 2709, 519, 454, 1432, 2600, 540, 519, 14349, 5838, 625, 1131, 1267, 538, 513, 454, 322, 2396, 518, 8391, 513, 1863, 1931, 888, 1432, 7840, 1522, 948, 3627, 2087, 1010, 14349, 454, 26705, 20365, 7084, 5812, 609, 14905, 3898, 269, 0, 2171, 723, 14406, 1373, 1927, 2336, 763, 1453, 538, 1032, 476, 272, 543, 1032, 476, 273, 19632, 2221, 547, 1589, 543, 2671, 2093, 1472, 938, 2898, 1153, 1445, 540, 2048, 21430, 23600, 1041, 2146, 513, 1732, 1747, 10200, 1284, 14437, 827, 519, 2262, 10198, 543, 1018, 621, 1797, 630, 13510, 12310, 1306, 14517, 729, 513, 2731, 3730, 13622, 14386, 543, 875, 649, 666, 946, 938, 943, 4577, 1983, 540, 6031, 543, 3280, 532, 547, 2328, 621, 563, 2171, 14437, 827, 1018, 2186, 540, 1153, 649, 4941, 543, 4956, 649, 4941, 513, 2186, 1153, 267, 865, 3838, 2093, 827, 1018, 1142, 540, 721, 1223, 798, 547, 1118, 2386, 713, 5949, 269, 1306, 649, 723, 2097, 547, 2503, 267, 519, 4555, 543, 2093, 519, 1453, 3357, 909, 609, 941, 2731, 1134, 2808, 563, 763, 1032, 476, 273, 338, 4941, 547, 957, 607, 1909, 3631, 547, 519, 1032, 476, 272, 543, 865, 24574, 1229, 909, 547, 2671, 741, 681, 6874, 830, 6947, 1983, 607, 1134, 607, 741, 2093, 1472, 1018, 1373, 2186, 1131, 1413, 899, 563, 296, 4126, 594, 6557, 2111, 547, 2661, 909, 547, 741, 1383, 2336, 2026, 513, 851, 540, 938, 1032, 476, 272, 5912, 267, 519, 1032, 476, 272, 338, 723, 1044, 11836, 4229, 609, 519, 1032, 476, 273, 338, 547, 1711, 741, 1378, 1297, 6125, 3450, 3756, 269, 634, 1032, 476, 272, 338, 723, 1336, 856, 811, 827, 1018, 621, 779, 899, 1373, 513, 1032, 476, 273, 543, 4280, 2055, 547, 741, 1032, 476, 273, 2319, 269, 23794, 272, 723, 849, 2097, 1927, 547, 1711, 741, 1378, 1297, 6125, 3756, 8151, 689, 968, 4462, 545, 27163, 543, 700, 5417, 619, 892, 547, 12805, 3556, 3756, 269, 1284, 723, 5059, 593, 1210, 16542, 543, 938, 681, 6066, 1983, 547, 2671, 2093, 543, 1711, 938, 3756, 269, 898, 814, 1044, 8748, 7487, 519, 1453, 23712, 543, 7836, 942, 3695, 519, 1032, 476, 273, 2230, 563, 1103, 938, 1686, 1565, 267, 519, 1032, 476, 272, 338, 723, 1044, 3695, 875, 8075, 723, 4957, 2429, 1686, 269, 1284, 3323, 476, 1220, 271, 1296, 3516, 538, 519, 11635, 6520, 3168, 693, 875, 5321, 941, 1500, 1510, 9486, 1210, 16095, 12450, 543, 3574, 269, 634, 1453, 941, 14281, 547, 1265, 856, 602, 2831, 267, 971, 607, 13265, 849, 5030, 538, 519, 2777, 1932, 256, 1284, 849, 8268, 590, 19414, 5321, 543, 16972, 5321, 563, 2171, 6743, 5702, 693, 570, 31122, 5321, 543, 875, 789, 941, 9112, 269, 634, 1453, 1287, 1185, 513, 979, 693, 4058, 741, 1378, 570, 31122, 5321, 607, 513, 2319, 269, 8921, 267, 519, 2319, 5249, 1927, 547, 1711, 741, 1378, 570, 31122, 8075, 1210, 1018, 789, 1185, 4121, 269, 4495, 519, 1453, 1185, 8737, 741, 3785, 267, 649, 11117, 519, 8075, 543, 5941, 1018, 649, 1131, 798, 8335, 1985, 942, 563, 8310, 3368, 2165, 267, 519, 1453, 6068, 2542, 519, 1433, 968, 24730, 779, 31733, 331, 748, 6925, 892, 543, 941, 6273, 547, 1711, 741, 1378, 11955, 543, 1494, 687, 269, 1677, 1376, 609, 930, 540, 519, 1362, 1031, 1114, 3688, 689, 938, 9205, 1858, 971, 607, 267, 6371, 267, 16095, 267, 3762, 267, 1216, 267, 5810, 2507, 543, 2322, 873, 883, 1494, 687, 14569, 269, 1284, 849, 2813, 1494, 687, 547, 1689, 519, 15437, 540, 2326, 538, 938, 7990, 17063, 20004, 4603, 563, 4002, 938, 3803, 3018, 267, 649, 4956, 547, 1711, 938, 1378, 17580, 1494, 687, 269, 634, 1453, 5249, 538, 2516, 547, 6430, 1018, 729, 2469, 883, 741, 5347, 773, 1494, 542, 269, 1733, 12241, 1818, 519, 968, 25924, 5608, 789, 1500, 3664, 827, 1018, 741, 4915, 1131, 798, 952, 2576, 1743, 1678, 621, 563, 2080, 616, 930, 540, 519, 1453, 779, 2093, 912, 268, 621, 1223, 1118, 596, 8038, 454, 268, 621, 1223, 1118, 596, 16756, 454, 268, 621, 1223, 1118, 596, 7544, 454, 268, 621, 1223, 1118, 596, 15835, 454, 268, 621, 1223, 1118, 596, 627, 11170, 454, 1432, 1131, 707, 4915, 798, 888, 763, 3141, 568, 856, 543, 621, 568, 6157, 4743, 899, 4832, 2336, 1103, 5729, 476, 272, 267, 649, 723, 1044, 11981, 2921, 938, 1603, 3544, 1210, 519, 1216, 543, 5862, 1962, 16640, 563, 2171, 723, 1031, 519, 17981, 607, 13093, 30937, 14604, 630, 821, 3280, 538, 1142, 4009, 264, 543, 519, 1185, 513, 979, 693, 1603, 938, 1913, 269, 1411, 723, 547, 581, 2656, 538, 519, 3002, 607, 18148, 1336, 856, 2336, 1607, 568, 1945, 596, 1522, 899, 547, 2119, 693, 1753, 952, 596, 616, 3168, 585, 513, 1187, 1259, 540, 1603, 15029, 519, 3141, 568, 3905, 563, 1692, 26752, 941, 649, 547, 723, 606, 12784, 1373, 7038, 539, 676, 519, 12359, 553, 32591, 8562, 639, 2336, 2005, 729, 8748, 547, 1294, 12359, 553, 543, 808, 3415, 5885, 519, 1453, 538, 1565, 1007, 1983, 543, 2348, 1187, 563, 763, 1453, 1185, 606, 12784, 540, 993, 10270, 618, 543, 10508, 607, 789, 941, 2111, 547, 2119, 1007, 1983, 543, 941, 27762, 2476, 676, 519, 9735, 2773, 269, 1284, 616, 1869, 6158, 827, 1018, 649, 4718, 563, 2252, 4896, 6499, 547, 1294, 519, 2773, 267, 649, 4076, 2322, 513, 3381, 540, 621, 909, 593, 519, 1362, 5616, 15858, 2985, 269, 7490, 4585, 621, 609, 707, 1453, 543, 2911, 609, 873, 827, 519, 5863, 1995, 789, 1185, 563, 14187, 6640, 5729, 476, 272, 338, 2336, 1607, 568, 4440, 835, 540, 519, 2063, 2053, 594, 786, 581, 28551, 596, 607, 5729, 476, 272, 338, 607, 538, 5181, 649, 786, 581, 22205, 596, 1394, 607, 5729, 476, 273, 338, 256, 4270, 2944, 267, 596, 723, 782, 13324, 707, 1259, 998, 547, 519, 3803, 1614, 2395, 540, 938, 4832, 2165, 269, 8409, 540, 596, 594, 723, 1185, 519, 12257, 540, 7487, 936, 519, 2250, 1906, 4374, 267, 596, 723, 2944, 513, 16854, 2816, 543, 723, 14661, 547, 513, 10169, 8966, 1153, 6296, 13085, 569, 269, 3962, 540, 596, 723, 2322, 476, 1911, 260, 883, 707, 1565, 543, 666, 979, 883, 519, 4832, 4743, 1360, 10583, 540, 707, 2383, 269, 8409, 540, 596, 594, 723, 711, 2943, 2938, 267, 594, 723, 6068, 6217, 827, 543, 7487, 930, 540, 519, 8748, 1565, 596, 723, 1044, 3257, 693, 1753, 256, 4270, 2944, 547, 3025, 630, 332, 27186, 267, 546, 5417, 625, 267, 19946, 267, 14552, 267, 6264, 8001, 267, 14077, 267, 2828, 2507, 782, 3769, 14386, 585, 6849, 513, 4101, 3510, 609, 971, 25273, 799, 814, 2016, 891, 2250, 476, 275, 3275, 865, 1082, 1159, 3796, 543, 6126, 8823, 269, 594, 993, 865, 9599, 547, 1294, 3025, 1927, 1586, 538, 5181, 267, 649, 616, 2469, 547, 723, 513, 9735, 476, 277, 4374, 563, 2026, 649, 2212, 883, 938, 3803, 1614, 2395, 972, 616, 513, 1906, 540, 1919, 602, 594, 1175, 4941, 547, 7618, 596, 540, 7498, 20058, 267, 2385, 29492, 616, 2921, 1747, 593, 13638, 543, 13723, 713, 3018, 269, 8409, 540, 596, 945, 723, 16761, 513, 5870, 1058, 723, 4607, 513, 5048, 609, 513, 942, 18921, 269, 634, 5870, 786, 581, 606, 4316, 585, 721, 547, 2161, 32597, 543, 723, 513, 6952, 909, 1354, 649, 2212, 883, 519, 4832, 14812, 269, 11427, 645, 684, 576, 786, 2743, 543, 26250, 596, 693, 519, 10766, 543, 3391, 596, 883, 938, 5870, 2230, 269, 6969, 543, 1310, 1142, 5870, 267, 782, 7515, 543, 23107, 786, 581, 19345, 269, 7490, 3346, 803, 3842, 519, 3896, 610, 676, 6049, 952, 596, 723, 1022, 2055, 563, 30789, 538, 3346, 269, 3807, 547, 7618, 596, 602, 649, 616, 1934, 538, 1153, 11728, 547, 13723, 713, 3018, 952, 972, 568, 4376, 593, 707, 2247, 610, 4376, 596, 1131, 899, 547, 2911, 827, 563, 7661, 267, 1175, 5373, 707, 3007, 547, 519, 1689, 540, 1453, 779, 5181, 2132, 269, 5753, 786, 581, 13059, 593, 13638, 476, 279, 628, 540, 5181, 543, 786, 581, 13059, 547, 519, 5729, 476, 272, 4259, 607, 5729, 476, 273, 338, 2394, 519, 5239, 3368, 2165, 269, 2991, 519, 3368, 2165, 267, 789, 786, 581, 28006, 883, 519, 5729, 476, 273, 4259, 563, 3383, 256, 13115, 334, 713, 3018, 779, 2238, 269, 901, 3018, 594, 723, 711, 1305, 513, 6249, 267, 855, 1131, 16436, 596, 547, 2992, 593, 930, 540, 519, 2238, 596, 723, 10150, 519, 1034, 713, 3018, 269, 898, 814, 1044, 2731, 4277, 609, 938, 942, 6170, 1927, 538, 1153, 547, 1294, 930, 540, 707, 4690, 1020, 689, 968, 10267, 325, 892, 630, 9767, 917, 945, 596, 616, 256, 1070, 547, 519, 19511, 1404, 3843, 547, 15972, 519, 14914, 645, 22324, 610, 1818, 513, 19389, 8602, 585, 513, 15743, 563, 7476, 6158, 547, 2576, 538, 707, 1920, 269, 1548, 723, 596, 10150, 286, 5808, 723, 596, 10150, 621, 609, 286, 1548, 1500, 621, 1187, 286, 8571, 513, 4605, 538, 707, 5851, 4804, 1433, 540, 707, 19463, 8823, 543, 2626, 519, 2055, 896, 707, 5373, 563, 8266, 523, 547, 968, 763, 670, 4007, 20045, 540, 1937, 1845, 892, 1650, 269, 4179, 2517, 344, 719, 340, 269, 2041, 270, 279, 304, 342, 292, 5308, 289, 329, 302, 339, 279, 2991, 596, 723, 19557, 547, 519, 1650, 267, 2911, 1927, 827, 7498, 1432, 4523, 952, 649, 1810, 1406, 6432, 547, 938, 4606, 630, 342, 528, 1845, 267, 10845, 25145, 1432, 543, 945, 5280, 808, 10154, 538, 519, 1650, 888, 3963, 621, 568, 1732, 952, 649, 2995, 2576, 827, 938, 19048, 2864, 982, 4420, 1782, 873, 909, 888, 3725, 817, 675, 602, 4352, 930, 4606, 616, 2731, 2048, 15927, 8730, 13943, 267, 2352, 610, 18473, 282, 972, 568, 1100, 971, 3364, 607, 513, 3983, 4743, 269, 1358, 782, 2048, 339, 749, 721, 685, 1945, 543, 991, 547, 581, 19557, 547, 563, 5970, 513, 979, 693, 1818, 707, 1378, 968, 342, 13446, 9126, 892, 1927, 1210, 1022, 9126, 596, 723, 1472, 519, 2777, 610, 596, 1522, 1616, 547, 1118, 543, 30164, 835, 563, 23737, 602, 952, 596, 616, 13347, 610, 14126, 827, 2576, 610, 1945, 596, 666, 2328, 610, 2721, 621, 593, 513, 4062, 540, 1957, 543, 2322, 621, 538, 519, 5855, 9126, 563, 8196, 519, 634, 670, 4007, 20045, 540, 1937, 1845, 6656, 547, 2721, 513, 4605, 540, 1018, 519, 19048, 1522, 1413, 899, 952, 789, 941, 5855, 28749, 563, 8923, 3136, 547, 645, 1872, 743, 889, 585, 3232, 2542, 543, 18551, 3756, 563, 8923, 946, 1912, 9582, 7591, 547, 1569, 519, 717, 1905, 22351, 17726, 2558, 10118, 630, 1492, 1286, 3014, 264, 543, 570, 4459, 344, 6478, 18114, 269, 8298, 514, 568, 281, 15292, 736, 10426, 5320, 281, 1753, 454, 25594, 547, 1569, 18917, 645, 2572, 1125, 13174, 11545, 4245, 693, 4179, 2517, 4178, 269, 6277, 322, 16691, 16896, 11486, 2572, 1125, 270, 14895, 270, 345, 15590, 279, 326, 278, 327, 454, 7476, 3742, 256, 2052, 596, 946, 930, 1919, 1472, 707, 2777, 547, 1711, 707, 1378, 21677, 1576, 286, 7420, 2576, 538, 707, 1920, 547, 2347, 707, 1576, 269, 5384, 873, 547, 1294, 875, 3728, 789, 666, 798, 621, 269, 2052, 596, 10726, 741, 942, 888, 8923, 3136, 547, 2671, 1007, 1913, 1927, 269, 1284, 2648, 547, 5873, 827, 519, 1007, 1913, 596, 723, 4362, 2336 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 782, 835, 538, 2441, 4906, 269, 476, 3066, 1656, 952, 9493, 581, 2441, 781, 267, 1287, 616, 9493, 454, 288, 3630, 5069, 781, 6079, 267, 543, 646, 15077, 2687, 547, 519, 9153, 563, 2005, 729, 607, 952, 519, 546, 27681, 540, 513, 13414, 950, 8834, 12038, 912, 16898, 476, 1015, 281, 4097, 3267, 8170, 513, 5168, 594, 13498, 454, 7474, 2696, 568, 1100, 2463, 518, 540, 7606, 281, 476, 3374, 1809, 538, 1169, 4182, 646, 602, 905, 732, 628, 1864, 267, 543, 960, 996, 454, 2431, 15667, 1145, 267, 568, 7608, 609, 1864, 269, 8616, 15584, 1185, 5143, 873, 1279, 1354, 281, 16692, 308, 476, 1015, 281, 1704, 1862, 1492, 7083, 454, 20365, 2696, 568, 2696, 540, 10971, 267, 3267, 6518, 2543, 996, 711, 7606, 31972, 763, 6196, 11620, 568, 938, 6561, 1175, 607, 568, 519, 1715, 269, 634, 31050, 602, 10271, 917, 568, 454, 1492, 1482, 4414, 9851, 518, 602, 12038, 547, 3504, 5840, 912, 26721, 476, 4366, 281, 1626, 3267, 296, 723, 711, 9275, 538, 5728, 689, 519, 454, 8218, 940, 282, 689, 519, 942, 602, 621, 729, 267, 972, 993, 594, 281, 543, 1631, 519, 7083, 717, 7495, 267, 543, 1010, 13336, 267, 554, 987, 2366, 454, 1889, 269, 476, 1704, 4935, 1094, 603, 519, 28789, 267, 16815, 4414, 9851, 518, 267, 519, 10513, 2290, 540, 5840, 282, 594, 993, 519, 28789, 16815, 2696, 799, 454, 974, 5995, 628, 26899, 547, 7443, 267, 799, 1291, 996, 26899, 676, 519, 1259, 602, 23524, 1058, 652, 979, 563, 1103, 6158, 827, 519, 2621, 540, 519, 31519, 267, 6754, 7150, 912, 272, 4596, 476, 1015, 281, 1556, 1862, 16269, 616, 2854, 585, 938, 454, 611, 3000, 819, 267, 2390, 7247, 519, 7475, 540, 519, 1158, 616, 2097, 269, 1215, 666, 789, 4019, 547, 721, 286, 6333, 875, 454, 1492, 1004, 540, 5840, 941, 593, 519, 1490, 1074, 540, 10024, 519, 16219, 2244, 267, 855, 1317, 540, 796, 10964, 3971, 941, 454, 1718, 655, 2740, 547, 32603, 585, 476, 2412, 1296, 269, 3973, 267, 540, 519, 7366, 540, 5215, 945, 2451, 5527, 267, 1152, 1079, 454, 325, 3373, 9411, 268, 26056, 543, 595, 1446, 321, 269, 4653, 267, 649, 1932, 267, 616, 593, 519, 1490, 1074, 540, 519, 16219, 2244, 268, 855, 713, 454, 5503, 267, 519, 31676, 835, 269, 4024, 649, 4283, 888, 3918, 309, 476, 2420, 281, 1691, 645, 1652, 539, 616, 789, 602, 798, 1010, 4971, 906, 2676, 7474, 789, 949, 723, 1318, 547, 519, 3529, 540, 1272, 267, 543, 949, 4283, 538, 998, 519, 19235, 883, 519, 2749, 269, 0, 3080, 540, 519, 13655, 540, 519, 2296, 1893, 6368, 6045, 563, 272, 2304, 17580, 9341, 7286, 3165, 602, 814, 513, 11329, 24609, 539, 2212, 609, 519, 4064, 17479, 593, 519, 1283, 267, 3335, 3276, 8089, 538, 519, 26026, 539, 609, 1175, 519, 4064, 6029, 563, 268, 2048, 306, 638, 573, 267, 2759, 1479, 8127, 267, 4216, 8127, 267, 29097, 7590, 543, 6366, 21650, 666, 581, 1336, 1851, 519, 22586, 6810, 19028, 268, 2048, 310, 5793, 10068, 568, 1434, 1631, 543, 2063, 3018, 15134, 972, 941, 1082, 8716, 5359, 540, 20688, 267, 9925, 267, 1786, 600, 267, 6366, 3650, 543, 3109, 8127, 19028, 268, 2048, 2791, 917, 267, 649, 4312, 1044, 1934, 782, 1554, 543, 594, 4312, 1044, 10068, 585, 513, 7008, 540, 3108, 267, 649, 4312, 3893, 3670, 610, 5216, 627, 1746, 543, 513, 6366, 3650, 267, 865, 972, 781, 7401, 19028, 268, 2048, 763, 9642, 6366, 3650, 609, 11174, 1786, 600, 616, 1373, 9575, 538, 519, 8933, 19028, 268, 2048, 1103, 713, 1858, 267, 5010, 29940, 786, 711, 581, 2111, 547, 3077, 16351, 2249, 971, 607, 627, 1746, 267, 1786, 600, 267, 6366, 3650, 543, 15273, 869, 599, 19028, 273, 288, 4759, 540, 1978, 3345, 1977, 4095, 9082, 971, 607, 519, 25590, 809, 267, 932, 24934, 1177, 267, 543, 6428, 880, 267, 3957, 689, 741, 9277, 2259, 540, 24609, 532, 741, 1453, 781, 9843, 31567, 563, 268, 2048, 1103, 476, 6942, 276, 3186, 3482, 13164, 540, 25065, 21650, 543, 623, 754, 546, 262, 20957, 14792, 941, 10296, 883, 4563, 10623, 564, 8513, 19028, 268, 2048, 293, 3985, 1489, 2965, 9450, 693, 21862, 839, 781, 1985, 23372, 4674, 267, 519, 18774, 19835, 15521, 609, 519, 623, 754, 546, 262, 20957, 14792, 267, 25065, 21650, 267, 543, 918, 2393, 6511, 529, 19028, 268, 2048, 19013, 585, 519, 918, 2393, 6511, 529, 543, 519, 25065, 21650, 267, 1256, 1310, 585, 3101, 2673, 24816, 543, 23578, 1927, 585, 8994, 3354, 267, 519, 4563, 10623, 564, 1869, 16397, 873, 267, 11318, 1082, 543, 27560, 741, 9640, 543, 5370, 19028, 268, 2048, 14503, 520, 3650, 8783, 8841, 15189, 547, 1847, 1010, 6512, 689, 519, 645, 7867, 10174, 9503, 267, 519, 18577, 22657, 540, 519, 25065, 21650, 19028, 268, 2048, 3528, 519, 4571, 5991, 12078, 2540, 267, 789, 1185, 14593, 741, 14763, 267, 3226, 519, 1744, 9655, 821, 267, 25065, 3650, 267, 543, 918, 2393, 523, 2967, 267, 7178, 2066, 519, 27743, 15142, 19028, 274, 4785, 607, 1110, 8595, 630, 1993, 606, 2599, 264, 2348, 519, 17901, 543, 8141, 11690, 338, 538, 519, 12718, 3625, 2864, 982, 519, 12718, 2212, 267, 799, 568, 9247, 513, 6366, 6676, 563, 268, 2048, 296, 723, 513, 1412, 2004, 16110, 4584, 1575, 609, 513, 27762, 6366, 3650, 538, 621, 19028, 268, 2048, 2005, 1185, 519, 9885, 7143, 4765, 9505, 543, 519, 8122, 2759, 1055, 267, 543, 621, 729, 13324, 676, 513, 6006, 6366, 3650, 19028, 268, 476, 274, 269, 272, 630, 1993, 513, 6174, 264, 2348, 513, 6366, 3650, 2599, 563, 275, 4785, 607, 1110, 8595, 630, 1993, 513, 17684, 264, 27669, 6064, 563, 268, 2048, 2080, 781, 1018, 476, 274, 3764, 543, 513, 6366, 3650, 17684, 323, 18182, 6913, 19028, 268, 2048, 4415, 513, 1507, 6366, 3650, 17684, 323, 18182, 267, 9900, 533, 787, 519, 5397, 1863, 19028, 268, 2048, 2791, 949, 991, 547, 946, 513, 6366, 3650, 17684, 323, 18182, 267, 855, 1100, 991, 547, 5855, 827, 12238, 3101, 856, 707, 3993, 4580, 607, 972, 568, 513, 17684, 323, 18182, 18921, 547, 946, 19028, 268, 2048, 2414, 946, 513, 1907, 21658, 267, 513, 6366, 3650, 543, 513, 29928, 2212, 17684, 323, 18182, 616, 1312, 17684, 323, 31034, 543, 789, 666, 1312, 948, 803, 1628, 1919, 19028, 268, 2048, 2690, 519, 1101, 1906, 17787, 267, 621, 6035, 513, 8799, 2370, 8929, 540, 19911, 28101, 267, 855, 1310, 476, 14625, 3764, 540, 1379, 3440, 6758, 594, 1032, 2740, 547, 25888, 1079, 6366, 3650, 17684, 323, 31034, 883, 1250, 10772, 19028, 268, 2048, 763, 17157, 568, 3833, 13888, 267, 543, 786, 2154, 513, 6366, 3650, 17684, 323, 18182, 547, 3888, 267, 855, 621, 3884, 1405, 1932, 2352, 20866, 19028, 268, 2048, 2414, 2973, 519, 14743, 267, 10544, 513, 1507, 6366, 3650, 17684, 9920, 630, 1492, 1483, 1507, 3283, 264, 543, 669, 529, 601, 519, 13897, 1055, 19028, 268, 2048, 7212, 10380, 568, 2653, 267, 596, 2811, 2469, 547, 991, 513, 6366, 3650, 17684, 323, 18182, 547, 1205, 891, 1055, 952, 596, 1616, 547, 1689, 11655, 19028, 268, 2048, 9515, 15504, 856, 1200, 23129, 267, 799, 15538, 540, 1614, 5491, 6486, 267, 513, 1906, 11113, 267, 1945, 602, 6743, 20716, 899, 513, 11290, 4584, 543, 513, 6094, 6366, 3650, 17684, 323, 18182, 19028, 268, 2048, 763, 1770, 814, 513, 3490, 1796, 7923, 547, 621, 602, 666, 581, 6569, 3842, 513, 2582, 6366, 3650, 17684, 19028, 268, 2048, 2005, 781, 899, 2348, 1312, 513, 6366, 3650, 543, 29928, 17684, 323, 18182, 538, 707, 1907, 7901, 19028, 268, 2048, 763, 1062, 568, 865, 2241, 782, 596, 991, 547, 2322, 621, 1927, 568, 513, 8325, 17927, 30893, 1057, 267, 513, 24362, 543, 513, 6366, 3650, 17684, 323, 18182, 19028, 268, 2048, 5278, 24056, 1810, 1405, 2154, 2645, 267, 6466, 1866, 2154, 513, 6366, 3650, 17684, 323, 18182, 19028, 268, 2048, 3891, 3096, 513, 11741, 6366, 3650, 17684, 323, 18182, 547, 533, 787, 1930, 519, 561, 2255, 267, 543, 1287, 646, 5402, 10741, 519, 8470, 19028, 268, 2048, 294, 1836, 554, 8504, 519, 2582, 17157, 547, 513, 561, 1872, 593, 835, 2427, 540, 519, 23094, 267, 594, 1287, 7444, 12628, 519, 26439, 334, 883, 1747, 543, 1031, 513, 6366, 3650, 17684, 323, 18182, 547, 3728, 523, 519, 17157, 547, 519, 824, 561, 1872, 19028, 1103, 713, 2376, 649, 2263, 875, 547, 23666, 12820, 609, 513, 5544, 6823, 22008, 269, 0, 309, 534, 8759, 543, 11709, 20275, 454, 309, 534, 8759, 568, 519, 1034, 1158, 17028, 7458, 8137, 269, 898, 568, 5833, 689, 519, 10365, 540, 513, 9341, 11903, 540, 12593, 29877, 269, 634, 10365, 693, 7556, 798, 711, 723, 519, 8984, 29877, 32709, 855, 3340, 27955, 3157, 547, 3489, 519, 29877, 32709, 269, 5472, 27955, 2409, 4125, 2185, 2596, 11775, 912, 268, 12070, 1154, 610, 11318, 540, 519, 10365, 602, 13515, 519, 2067, 7929, 10307, 543, 3543, 894, 1272, 540, 519, 10540, 563, 268, 31687, 908, 519, 27315, 1540, 10365, 799, 3322, 513, 9425, 4028, 18024, 543, 3500, 18829, 269, 634, 8984, 8137, 7135, 10953, 1934, 1282, 799, 14836, 267, 4307, 11169, 267, 8709, 20275, 7623, 616, 2919, 676, 679, 9195, 1738, 543, 1875, 10276, 9195, 1738, 5114, 563, 268, 667, 11538, 540, 4418, 730, 10365, 693, 1360, 7444, 693, 513, 2539, 2837, 547, 476, 736, 268, 1839, 260, 7509, 563, 268, 16448, 532, 540, 519, 12015, 10365, 538, 6806, 10833, 585, 513, 1906, 3275, 1141, 789, 9096, 519, 1646, 540, 741, 8984, 32709, 563, 309, 534, 8759, 11621, 281, 11709, 8759, 1349, 568, 519, 1152, 7657, 1681, 1570, 609, 513, 2475, 15111, 3044, 540, 3961, 269, 898, 568, 3769, 538, 519, 3009, 540, 8549, 19938, 630, 2641, 290, 15709, 268, 15433, 1916, 309, 534, 8759, 6987, 3555, 543, 10979, 31201, 9208, 281, 11709, 8759, 4441, 729, 2919, 543, 1596, 592, 326, 730, 21276, 543, 538, 2673, 6935, 609, 10979, 31201, 9208, 263, 2641, 4211, 15709, 268, 13670, 269, 8099, 1916, 763, 21458, 540, 10979, 31201, 568, 8200, 593, 519, 1826, 540, 7657, 1681, 1031, 563, 268, 21145, 594, 630, 2641, 290, 15709, 268, 13670, 2187, 309, 534, 8759, 10979, 31201, 3568, 1152, 6986, 29877, 3334, 543, 1100, 5841, 10366, 563, 268, 21145, 4083, 630, 2641, 290, 15709, 268, 13670, 2187, 309, 534, 8759, 4672, 8645, 666, 581, 7657, 1819, 609, 909, 547, 821, 26412, 540, 10991, 8709, 20275, 829, 1770, 540, 29877, 1349, 269, 901, 568, 513, 2067, 543, 5841, 1587, 543, 13042, 29877, 7657, 1819, 10979, 8645, 563, 268, 21145, 8633, 630, 2641, 290, 15709, 268, 13670, 2187, 296, 576, 8645, 3568, 15866, 610, 14311, 606, 5841, 29877, 7657, 1681, 602, 2882, 3119, 10991, 8709, 20275, 269, 901, 1587, 1590, 581, 13042, 14464, 569, 7657, 1819, 610, 14464, 29877, 563, 268, 11709, 8759, 2142, 753, 281, 11709, 8759, 10365, 616, 4857, 607, 519, 5265, 23174, 543, 12015, 4829, 1790, 16104, 540, 11709, 8759, 1544, 604, 16288, 538, 29877, 3044, 476, 2641, 4211, 15709, 268, 15433, 269, 274, 269, 11709, 8759, 6987, 847, 338, 543, 11709, 8759, 18120, 10249, 281, 634, 12576, 540, 519, 3044, 568, 3238, 609, 10503, 538, 2489, 2474, 875, 519, 1349, 568, 1500, 543, 1018, 824, 5820, 666, 581, 1031, 269, 898, 849, 11225, 824, 2472, 1644, 547, 6986, 29877, 1349, 630, 6343, 13054, 873, 543, 875, 789, 666, 581, 13042, 1916, 268, 11709, 8759, 1349, 630, 2169, 26167, 609, 4568, 1916, 268, 11709, 8759, 7657, 1681, 630, 2169, 26167, 609, 4568, 994, 268, 24517, 3603, 29877, 7657, 1681, 630, 2169, 26167, 609, 4568, 994, 268, 11709, 8759, 8869, 630, 7224, 4568, 568, 1031, 994, 268, 11709, 8759, 13305, 534, 20275, 1349, 630, 2169, 26167, 609, 4568, 994, 268, 11709, 8759, 13305, 534, 20275, 7657, 1681, 630, 2169, 26167, 609, 4568, 994, 268, 11709, 8759, 13305, 534, 20275, 8869, 630, 309, 534, 20275, 949, 581, 5833, 609, 610, 1510, 4568, 994, 763, 811, 1713, 3948, 538, 519, 3044, 267, 799, 1058, 581, 7074, 267, 2154, 602, 519, 8737, 1349, 723, 1100, 1447, 982, 476, 3374, 260, 2802, 2643, 4568, 543, 3568, 1100, 1447, 982, 835, 1770, 540, 29877, 21167, 829, 20645, 269, 1703, 568, 1100, 3662, 6508, 5820, 616, 1031, 538, 519, 1657, 2472, 563, 309, 3198, 6579, 6369, 23166, 27345, 9338, 4596, 295, 5357, 912, 268, 1715, 10613, 540, 6987, 10330, 281, 7073, 2409, 540, 10868, 616, 1031, 971, 607, 2706, 322, 15560, 3327, 8166, 10868, 543, 9258, 23015, 2670, 585, 5834, 269, 1452, 2409, 3132, 3730, 2472, 585, 4853, 7657, 1681, 855, 789 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1974, 630, 8201, 476, 274, 1040, 634, 4282, 31298, 729, 3160, 547, 476, 271, 269, 14065, 799, 568, 519, 12939, 547, 17551, 3095, 720, 607, 21465, 585, 31298, 269, 634, 2034, 942, 1974, 1185, 519, 10545, 630, 866, 269, 275, 524, 300, 264, 31298, 7161, 4553, 676, 519, 1101, 543, 3791, 5712, 609, 476, 2420, 269, 276, 543, 476, 2767, 269, 273, 524, 300, 267, 6606, 269, 9717, 602, 649, 1185, 835, 19301, 303, 1169, 9625, 272, 269, 3953, 524, 300, 543, 519, 2034, 942, 1974, 1185, 519, 10545, 31298, 7161, 609, 476, 866, 269, 275, 524, 300, 630, 8201, 476, 274, 1070, 649, 6059, 602, 476, 1428, 19301, 11679, 729, 513, 1434, 19406, 585, 519, 6885, 2450, 538, 519, 688, 7120, 4286, 10636, 27340, 13920, 630, 295, 3891, 264, 543, 519, 2500, 1297, 540, 688, 7120, 4885, 630, 11190, 324, 264, 9382, 269, 670, 3891, 9672, 602, 519, 2034, 1974, 1185, 519, 5207, 4763, 609, 606, 3328, 670, 3891, 2066, 782, 688, 7120, 4885, 540, 476, 271, 269, 279, 2412, 267, 4553, 676, 519, 1101, 1974, 609, 670, 3891, 815, 476, 271, 269, 279, 3066, 543, 1287, 519, 3791, 1974, 609, 670, 3891, 1871, 540, 476, 271, 269, 279, 2767, 269, 6684, 267, 22743, 324, 2418, 540, 476, 280, 269, 271, 267, 476, 1015, 269, 273, 267, 543, 476, 279, 269, 279, 941, 5833, 585, 519, 1101, 267, 2034, 543, 3791, 5712, 267, 6606, 563, 8201, 476, 274, 269, 13017, 720, 1669, 638, 10329, 9178, 538, 589, 267, 645, 267, 543, 667, 25450, 607, 1134, 607, 2898, 11646, 540, 8241, 28212, 5950, 538, 1114, 942, 5712, 269, 634, 8880, 1899, 4564, 519, 31298, 12939, 563, 17471, 1323, 6827, 787, 540, 8241, 5453, 520, 454, 763, 20963, 1805, 4450, 543, 5084, 11085, 311, 307, 13543, 9382, 4951, 13380, 2164, 543, 9672, 519, 15285, 540, 28212, 5950, 1310, 476, 3192, 271, 630, 8993, 999, 476, 275, 288, 32390, 282, 22955, 590, 273, 267, 590, 274, 1040, 1306, 5892, 7150, 267, 649, 941, 711, 2111, 547, 7447, 519, 1297, 540, 5817, 5095, 1210, 513, 3444, 29705, 9179, 1935, 269, 1280, 713, 2601, 267, 649, 11567, 519, 19427, 540, 519, 5207, 476, 736, 260, 8298, 6441, 1731, 9685, 2418, 693, 1142, 918, 1739, 2142, 9618, 1696, 620, 269, 630, 1001, 271, 264, 547, 2303, 519, 1034, 21483, 918, 1871, 4433, 1040, 634, 1034, 21483, 918, 609, 713, 1505, 24132, 689, 476, 273, 547, 476, 280, 607, 1134, 607, 476, 1321, 269, 634, 737, 24578, 753, 2079, 4951, 602, 476, 1321, 729, 519, 1034, 21483, 918, 547, 4766, 938, 2551, 630, 8201, 590, 275, 288, 264, 1247, 519, 667, 4338, 290, 14649, 7120, 4951, 513, 2312, 9668, 540, 519, 476, 1321, 2516, 5833, 676, 5084, 11085, 311, 307, 13543, 2079, 630, 8201, 590, 275, 289, 1040, 5047, 267, 519, 3328, 674, 560, 1871, 585, 519, 476, 1321, 1016, 25364, 729, 3160, 547, 476, 271, 269, 7367, 10834, 602, 789, 723, 1164, 15285, 269, 634, 20963, 1805, 4450, 2079, 7000, 476, 4343, 1016, 16647, 2827, 630, 8368, 590, 272, 264, 7265, 1229, 538, 1079, 2101, 804, 3547, 267, 1354, 476, 3192, 271, 543, 1310, 476, 3192, 271, 609, 5634, 6772, 2355, 269, 7612, 476, 275, 288, 2982, 519, 20963, 1805, 4450, 24159, 540, 519, 476, 4343, 5095, 543, 519, 5084, 11085, 311, 307, 13543, 2164, 630, 8201, 476, 275, 289, 264, 585, 1346, 5095, 609, 918, 8151, 689, 476, 273, 547, 476, 1321, 269, 6145, 3105, 9382, 267, 28212, 5950, 538, 1114, 2276, 630, 8201, 476, 275, 292, 264, 1705, 711, 2408, 547, 581, 3810, 11295, 610, 9678, 689, 1142, 824, 267, 4352, 930, 941, 811, 11295, 982, 1866, 971, 607, 24368, 630, 10258, 291, 264, 1354, 476, 3192, 271, 543, 5375, 5245, 630, 23354, 264, 1310, 476, 3192, 271, 630, 8201, 476, 275, 291, 267, 292, 282, 7612, 590, 273, 1040, 5047, 267, 519, 2949, 1413, 693, 519, 22693, 8167, 585, 1142, 3557, 8612, 930, 8390, 1851, 1114, 2276, 630, 8201, 590, 276, 1916, 8201, 476, 275, 269, 18948, 540, 20963, 1805, 4450, 267, 5084, 11085, 311, 307, 13543, 543, 26537, 334, 303, 664, 614, 2164, 269, 769, 782, 9382, 267, 8241, 28212, 616, 15044, 676, 519, 1931, 602, 789, 2408, 538, 519, 20963, 1805, 4450, 27765, 5766, 1090, 269, 630, 288, 264, 519, 27765, 5766, 1090, 540, 519, 476, 4343, 1016, 16647, 2827, 7000, 676, 20963, 1805, 4450, 282, 630, 289, 264, 5084, 11085, 311, 307, 13543, 2079, 630, 298, 2039, 689, 476, 273, 547, 476, 1321, 264, 585, 519, 2898, 8241, 10351, 680, 11047, 282, 630, 290, 264, 26537, 334, 303, 664, 614, 2164, 585, 519, 2898, 8241, 10351, 680, 11047, 630, 2889, 15251, 540, 18577, 9295, 540, 1142, 540, 519, 476, 2537, 20033, 1016, 16647, 2827, 585, 1142, 8241, 5252, 541, 1040, 27413, 4766, 5001, 18577, 1016, 16647, 2827, 1739, 7612, 476, 272, 290, 282, 630, 291, 264, 2051, 2293, 2099, 1569, 542, 1032, 540, 5305, 630, 1042, 281, 840, 268, 4572, 271, 267, 3039, 281, 476, 4572, 272, 547, 476, 3192, 271, 267, 543, 4544, 281, 2022, 268, 3192, 271, 5148, 630, 292, 264, 27413, 2099, 519, 3557, 540, 5305, 630, 1042, 281, 29517, 267, 3039, 281, 1627, 17162, 267, 4544, 281, 14408, 267, 5835, 281, 966, 2975, 267, 543, 19826, 281, 26146, 1916, 291, 1751, 540, 519, 5213, 528, 7377, 2827, 454, 763, 2407, 5001, 10568, 2551, 1305, 540, 476, 273, 267, 28178, 1569, 687, 4951, 9793, 5444, 2095, 1063, 1114, 1016, 16647, 2827, 609, 606, 3328, 674, 560, 1871, 1851, 1016, 16647, 2827, 540, 476, 271, 269, 15171, 630, 11907, 711, 3254, 1040, 7537, 23701, 2079, 7000, 519, 5207, 8167, 540, 2698, 8390, 630, 8660, 8472, 729, 10838, 2043, 1369, 1016, 16647, 2827, 267, 4553, 676, 476, 279, 260, 585, 8390, 10838, 1016, 16647, 2827, 543, 476, 274, 260, 585, 8390, 10838, 17407, 630, 8368, 590, 274, 291, 264, 799, 568, 13380, 547, 3105, 5359, 538, 15279, 320, 30666, 10568, 630, 10048, 1157, 320, 767, 340, 1696, 620, 1421, 476, 1001, 275, 282, 715, 1408, 11420, 1696, 620, 1421, 476, 1001, 275, 1040, 1635, 9427, 6404, 18105, 690, 550, 545, 13421, 543, 4227, 519, 5001, 2551, 2450, 547, 476, 272, 267, 276, 4510, 519, 3328, 674, 560, 1871, 1851, 1016, 16647, 2827, 2799, 547, 476, 271, 269, 26801, 630, 8368, 590, 275, 1040, 26121, 476, 1911, 20533, 4389, 5036, 8507, 538, 3328, 674, 560, 1871, 10838, 1016, 16647, 2827, 540, 476, 271, 269, 15782, 13008, 476, 271, 269, 23669, 10834, 602, 713, 2333, 538, 674, 560, 2418, 729, 711, 513, 1267, 540, 4227, 519, 2551, 2450, 630, 335, 17032, 9881, 486, 476, 271, 1040, 634, 9803, 674, 560, 630, 271, 269, 4962, 264, 729, 1063, 3162, 3864, 630, 294, 872, 576, 267, 7977, 267, 17577, 267, 8050, 264, 543, 3345, 3979, 2477, 630, 29409, 665, 1723, 267, 27988, 807, 267, 543, 31512, 807, 1070, 1247, 519, 5207, 1871, 630, 271, 269, 4649, 264, 729, 1063, 4516, 543, 3844, 3979, 2477, 630, 2419, 611, 267, 5689, 328, 543, 13280, 1040, 7537, 23701, 2079, 540, 519, 4389, 5001, 2551, 1305, 15652, 539, 519, 2698, 8390, 607, 476, 1626, 260, 10838, 1016, 16647, 2827, 543, 476, 10037, 260, 1369, 1016, 16647, 2827, 630, 8368, 590, 274, 292, 1040, 7612, 476, 272, 291, 2982, 27199, 13118, 11219, 334, 1456, 24159, 540, 519, 4389, 476, 2537, 5001, 1016, 16647, 2827, 1210, 519, 6292, 3772, 674, 560, 5119, 267, 543, 7612, 476, 272, 292, 2982, 519, 3892, 540, 519, 5001, 1569, 687, 1210, 519, 1101, 1079, 9030, 3334, 269, 901, 2079, 7265, 1229, 519, 1569, 687, 540, 519, 1482, 2551, 2673, 547, 1142, 824, 609, 930, 20718, 1851, 1114, 1016, 16647, 2827, 269, 9717, 602, 519, 476, 2537, 1016, 16647, 2827, 4951, 1434, 15285, 1759, 593, 741, 674, 560, 2418, 630, 8368, 590, 275, 1070, 3668, 540, 24159, 585, 930, 1016, 16647, 2827, 538, 519, 7193, 288, 666, 581, 6045, 676, 519, 1970, 7778, 540, 519, 1101, 1079, 7193, 338, 630, 21671, 476, 1015, 269, 279, 8472, 540, 519, 2698, 8390, 538, 519, 10351, 680, 11047, 563, 1103, 8125, 4815, 26537, 25593, 27006, 540, 8241, 5453, 520, 454, 1103, 3623, 4815, 7206, 540, 519, 15954, 540, 519, 8241, 28212, 607, 23700, 540, 5027, 12415, 23608, 689, 5001, 22881, 7000, 513, 1950, 24463, 2497, 538, 519, 8241, 10351, 680, 11047, 630, 8201, 476, 275, 290, 282, 7612, 476, 276, 267, 7612, 590, 277, 1040, 6969, 476, 3192, 271, 18577, 8129, 941, 811, 3309, 3379, 547, 2022, 476, 3192, 271, 28212, 269, 589, 2143, 6514, 540, 519, 18577, 8129, 540, 15110, 5027, 2066, 519, 11646, 538, 1142, 942, 1974, 7000, 602, 10568, 609, 3162, 3864, 5169, 630, 11357, 28134, 476, 279, 264, 8329, 476, 2420, 269, 277, 260, 547, 519, 18577, 17539, 540, 28212, 689, 519, 1101, 942, 1974, 267, 4553, 676, 3345, 3979, 5169, 267, 609, 1016, 16647, 2827, 476, 1626, 543, 476, 1556, 7700, 476, 2420, 543, 476, 1556, 269, 276, 9077, 6606, 630, 8201, 476, 276, 1040, 4438, 519, 2034, 942, 1974, 267, 3979, 2326, 2968, 811, 1271, 609, 1016, 16647, 2827, 476, 1626, 267, 476, 1724, 267, 543, 476, 1556, 7700, 476, 2641, 267, 476, 1691, 269, 280, 267, 543, 476, 1556, 269, 274, 260, 540, 15110, 5027, 538, 519, 8241, 10351, 680, 11047, 267, 6606, 269, 1717, 267, 8828, 3864, 5169, 4797, 547, 581, 606, 1271, 22660, 1282, 713, 1974, 609, 476, 280, 269, 272, 260, 9295, 269, 634, 2164, 941, 13380, 547, 519, 20963, 1805, 4450, 2164, 799, 5258, 840, 268, 3192, 271, 10351, 680, 11047, 883, 1079, 1292, 13421, 630, 8201, 476, 275, 1070, 540, 799, 519, 1101, 8659, 28212, 13556, 547, 3162, 3864, 543, 3345, 3979, 2477, 630, 349, 4366, 260, 540, 713, 12440, 689, 519, 1101, 1974, 1070, 1247, 519, 2034, 8659, 28212, 13556, 5631, 547, 2789, 3979, 1016, 16647, 2827, 630, 349, 3451, 260, 540, 713, 12440, 689, 519, 1101, 1974, 1916, 8201, 476, 276, 269, 15788, 2199, 22693, 2164, 2059, 8241, 3694, 10568, 11646, 269, 1160, 15251, 540, 18577, 9295, 585, 1142, 20033, 1016, 28134, 693, 1142, 19301, 303, 30580, 2066, 519, 11646, 269, 634, 476, 2641, 15954, 616, 10288, 18615, 569, 4358, 689, 15694, 476, 272, 288, 547, 476, 278, 291, 585, 28212, 5950, 630, 288, 264, 1354, 476, 4572, 271, 282, 630, 289, 264, 689, 476, 4572, 272, 547, 476, 3192, 271, 282, 543, 630, 290, 264, 1310, 476, 3192, 271, 269, 9406, 13063, 2099, 519, 2949, 9295, 585, 1142, 20033, 1016, 28134, 547, 519, 18577, 17539, 540, 519, 8241, 10351, 680, 11047, 269, 27413, 4766, 5001, 1016, 16647, 2827, 1739, 7612, 476, 272, 290, 563, 1103, 4334, 547, 519, 1101, 1079, 5712, 267, 519, 18577, 17539, 540, 28212, 689, 519, 3791, 942, 1974, 31030, 5631, 593, 11204, 2326, 267, 799, 8329, 476, 3393, 260, 540, 519, 15110, 5027, 267, 4553, 676, 3844, 3979, 1016, 28134, 1297, 476, 1321, 609, 476, 1691, 269, 277, 260, 543, 519, 7187, 1016, 28134, 538, 3162, 3013, 630, 11357, 28134, 476, 1704, 264, 609, 476, 1724, 260, 630, 8201, 476, 276, 1040, 24951, 519, 5084, 11085, 311, 307, 13543, 543, 20963, 1805, 4450, 2164, 630, 8201, 476, 275, 282, 7612, 590, 273, 1070, 28212, 602, 941, 3592, 4628, 13556, 547, 6792, 941, 7265, 1229, 538, 1079, 1292, 1016, 16647, 2827, 630, 19990, 543, 13711, 538, 5084, 11085, 311, 307, 13543, 918, 815, 476, 1321, 1040, 634, 4544, 1016, 28134, 3238, 28212, 5950, 538, 1715, 3162, 12986, 630, 10064, 310, 264, 543, 1627, 17162, 267, 1247, 519, 13711, 1016, 28134, 3238, 28212, 5950, 538, 3162, 8241, 630, 6347, 1070, 26146, 543, 29517, 630, 18034, 519, 2326, 609, 18637, 334, 4282, 5950, 1354, 476, 3192, 271, 7612, 476, 275, 267, 7612, 590, 273, 1916, 2414, 1397, 519, 4720, 540, 8241, 10351, 680, 11047, 998, 942, 538, 811, 1469, 267, 7612, 476, 277, 291, 2982, 519, 18577, 17539, 540, 519, 8241, 10351, 680, 11047, 2066, 513, 32067, 942, 4336, 269, 901, 4137, 5693, 9727, 513, 21341, 593, 1016, 16647, 2827, 476, 279, 543, 476, 1626, 1282, 519, 840, 268, 4572, 271, 1974, 267, 519, 1950, 11156, 1282, 519, 2034, 1974, 630, 4572, 272, 1700, 3192, 271, 264, 543, 519, 16795, 2333, 538, 946, 540, 11204, 2326, 2022, 476, 3192, 272, 547, 3914, 513, 8445, 693, 476, 6872, 269, 276, 260, 538, 476, 1001, 272, 269, 25392, 519, 1198, 540, 1142, 20033, 1016, 28134, 593, 1367, 8241, 28212, 630 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 16605, 13245, 1107, 19321, 6153, 15482, 2657, 454, 2304, 9137, 538, 634, 11545, 25357, 713, 3018, 267, 814, 12006, 519, 1249, 602, 1346, 1004, 609, 513, 4057, 5959, 1416, 12512, 616, 693, 1981, 689, 824, 2101, 1072, 2042, 267, 8409, 945, 798, 711, 11453, 741, 4522, 693, 2547, 7466, 513, 1554, 616, 909, 547, 476, 3583, 260, 811, 693, 1981, 540, 7092, 689, 9839, 8376, 563, 5649, 11545, 25357, 9137, 454, 27778, 5241, 707, 4522, 3828, 823, 513, 1554, 1223, 3247, 596, 2348, 513, 2295, 4323, 454, 14722, 723, 1336, 602, 17528, 547, 2973, 4522, 2834, 1176, 666, 1450, 909, 547, 476, 10384, 1114, 2010, 540, 4551, 547, 1205, 883, 519, 18072, 267, 2899, 972, 621, 666, 1198, 519, 2295, 543, 824, 2101, 8219, 563, 1607, 666, 1860, 24455, 1100, 2339, 875, 2635, 519, 1268, 568, 563, 1103, 4791, 2090, 621, 729, 4362, 602, 950, 4551, 9411, 519, 18072, 267, 519, 4761, 1062, 729, 30701, 267, 621, 1500, 27555, 6821, 28332, 543, 7522, 518, 269, 898, 849, 7923, 547, 608, 529, 1746, 9761, 12074, 538, 519, 16209, 799, 1500, 519, 32560, 1256, 811, 14733, 563, 17206, 5441, 5507, 4553, 476, 8099, 876, 1004, 609, 606, 3328, 2085, 540, 476, 2004, 267, 789, 941, 782, 4280, 827, 5959, 1686, 543, 20816, 693, 1753, 269, 476, 7830, 260, 540, 519, 5396, 20402, 1500, 2834, 11564, 547, 519, 24782, 543, 1175, 936, 476, 3583, 260, 1490, 19813, 741, 4522, 7466, 610, 811, 513, 1554, 563, 4322, 1004, 941, 6594, 585, 476, 279, 1296, 267, 936, 602, 942, 476, 27898, 1004, 1185, 3978, 2295, 2042, 543, 476, 10204, 540, 873, 5747, 607, 513, 1267, 563, 763, 5354, 540, 891, 1004, 3357, 689, 519, 1895, 540, 1004, 602, 1705, 660, 11453, 741, 4522, 2834, 1176, 610, 9738, 1434, 5959, 1072, 454, 3849, 6665, 832, 547, 519, 645, 6395, 9672, 555, 572, 4681, 543, 9672, 602, 824, 2090, 616, 3168, 883, 713, 616, 4867, 25093, 563, 1432, 2479, 519, 4681, 267, 621, 568, 865, 1271, 547, 2226, 1434, 5959, 1072, 607, 713, 568, 519, 24891, 883, 519, 1560, 543, 786, 948, 547, 2226, 1434, 2949, 2489, 1072, 269, 0, 8923, 5818, 707, 4643, 547, 4647, 4574, 454, 306, 2174, 619, 13898, 910, 4828, 7151, 454, 12041, 2433, 593, 323, 4459, 1690, 755, 2106, 454, 303, 1137, 476, 274, 630, 4037, 274, 1913, 994, 306, 2174, 619, 4828, 8745, 540, 8191, 8191, 779, 10500, 559, 2747, 8191, 8074, 8191, 4063, 609, 811, 1344, 827, 30901, 267, 1382, 14828, 267, 4655, 540, 1719, 543, 875, 547, 3346, 590, 2174, 619, 4828, 4985, 281, 4595, 942, 1799, 655, 3645, 267, 7239, 607, 1134, 607, 1004, 723, 2919, 1585, 21644, 543, 7881, 602, 789, 3494, 616, 1318, 2687, 547, 873, 7498, 3080, 971, 960, 568, 519, 1557, 267, 968, 3963, 3627, 5500, 2052, 1406, 15681, 9406, 689, 654, 3994, 892, 2854, 676, 2441, 2088, 32129, 590, 2174, 619, 267, 538, 799, 1352, 6257, 519, 2413, 1158, 543, 20186, 1585, 1806, 547, 1489, 1200, 3948, 602, 519, 1459, 1554, 6107, 568, 8731, 7757, 538, 513, 1158, 540, 5837, 10539, 269, 3778, 814, 14754, 519, 3356, 538, 18495, 2429, 5553, 855, 267, 19890, 267, 713, 3356, 814, 6603, 513, 1377, 1141, 5683, 2932, 568, 711, 2016, 865, 1454, 2956, 899, 621, 4505, 729, 269, 13966, 609, 3237, 267, 3872, 5238, 1404, 513, 1360, 1271, 1909, 538, 3450, 5837, 2418, 543, 16431, 547, 1453, 269, 1717, 267, 3872, 3906, 19951, 616, 811, 20916, 2509, 19174, 543, 798, 711, 2015, 3344, 540, 5837, 14242, 269, 901, 3762, 1453, 267, 5631, 519, 6107, 538, 513, 959, 766, 6438, 1533, 1141, 789, 3112, 10646, 1318, 689, 4636, 269, 4935, 267, 2441, 2088, 3081, 538, 1200, 1557, 968, 935, 1061, 1302, 543, 15520, 267, 2221, 779, 1762, 1004, 2661, 538, 513, 5837, 688, 2763, 892, 630, 295, 4752, 267, 562, 6155, 12175, 1306, 2484, 607, 594, 6557, 7255, 267, 594, 3858, 609, 519, 2278, 267, 1317, 519, 6107, 538, 2489, 8188, 971, 1476, 16272, 607, 789, 6560, 9624, 513, 2603, 540, 2591, 1282, 713, 942, 543, 621, 568, 1360, 2352, 585, 873, 547, 917, 799, 568, 1318, 543, 799, 568, 711, 269, 3267, 0, 1805, 597, 2394, 667, 821, 454, 8248, 553, 910, 333, 268, 2961, 12783, 454, 5415, 22843, 8342, 454, 5415, 634, 4364, 14958, 18768, 454, 9199, 576, 519, 9764, 1843, 609, 513, 15513, 269, 5620, 707, 1126, 2759, 856, 519, 454, 15132, 548, 269, 674, 1245, 519, 5858, 538, 3368, 543, 2759, 2059, 519, 16784, 269, 901, 786, 2285, 454, 9767, 1079, 22597, 25568, 269, 8921, 1491, 707, 10612, 15777, 543, 18846, 621, 883, 513, 454, 297, 3337, 269, 3794, 826, 519, 808, 3337, 547, 519, 1394, 540, 707, 3368, 5858, 543, 596, 454, 17647, 606, 22597, 563, 13356, 28672, 707, 22597, 1210, 12508, 267, 1350, 7867, 267, 5862, 610, 4376, 596, 666, 454, 10387, 27679, 23834, 19798, 6428, 611, 667, 7675, 15636, 1479, 454, 4537, 4141, 14470, 630, 19990, 610, 6960, 994, 8794, 1507, 17446, 540, 9633, 532, 11746, 282, 3382, 707, 11480, 4625, 269, 2991, 454, 10472, 1900, 568, 2944, 596, 786, 991, 547, 2322, 17309, 593, 269, 4635, 519, 2025, 986, 326, 6299, 454, 3333, 4141, 32432, 5196, 519, 11480, 596, 1175, 7148, 539, 909, 269, 901, 786, 2285, 707, 454, 15318, 1479, 513, 1360, 16517, 966, 17955, 1413, 563, 14937, 17781, 25529, 619, 454, 19352, 513, 6906, 593, 519, 11909, 1957, 269, 5620, 707, 1126, 2759, 856, 519, 6906, 563, 5970, 707, 1126, 2759, 513, 14816, 540, 3039, 547, 15441, 693, 519, 5377, 540, 707, 454, 28256, 4120, 269, 9255, 3109, 29654, 593, 519, 11909, 6712, 540, 519, 6906, 269, 1411, 454, 15884, 723, 513, 8799, 20105, 540, 1216, 28447, 950, 596, 616, 2944, 563, 14937, 14716, 7433, 454, 5970, 707, 1126, 10250, 741, 1688, 610, 3723, 609, 519, 3043, 25879, 593, 519, 454, 18872, 1957, 269, 8921, 723, 873, 2721, 538, 1018, 789, 1589, 741, 7633, 1413, 454, 7476, 513, 1483, 2473, 7304, 599, 540, 513, 1688, 610, 3723, 585, 707, 1126, 547, 1413, 543, 5635, 269, 589, 454, 335, 27348, 689, 513, 1433, 1131, 960, 849, 563, 312, 962, 7568, 27006, 454, 20278, 513, 1507, 2179, 540, 5862, 593, 513, 1957, 6676, 269, 12338, 20612, 547, 581, 1114, 454, 331, 9975, 269, 5620, 707, 1126, 1747, 519, 20612, 538, 519, 5862, 3478, 621, 4988, 454, 342, 270, 5862, 269, 8921, 8749, 519, 20612, 936, 1957, 269, 1684, 713, 609, 1114, 5862, 454, 2252, 596, 723, 513, 1126, 945, 1281, 711, 899, 547, 1205, 741, 1688, 18660, 1039, 513, 454, 743, 582, 1127, 8930, 547, 835, 1439, 540, 519, 20612, 269, 3973, 723, 519, 1126, 4584, 909, 519, 20612, 454, 6748, 519, 9660, 8930, 543, 741, 11263, 786, 3251, 2973, 563, 313, 2098, 580, 2098, 698, 8342, 454, 305, 1157, 681, 871, 2558, 574, 454, 5970, 707, 1126, 946, 519, 1990, 580, 1990, 698, 678, 1157, 24646, 16013, 547, 1711, 513, 2098, 1990, 580, 1990, 698, 454, 12988, 547, 5440, 0, 31528, 751, 16223, 333, 860, 328, 5953, 267, 9836, 3797, 540, 606, 1148, 610, 4739, 2433, 751, 16223, 333, 25207, 267, 2702, 282, 1294, 751, 802, 268, 538, 21475, 26049, 5072, 1341, 910, 8421, 328, 5953, 267, 910, 8421, 344, 269, 12409, 917, 24376, 267, 3622, 17941, 3798, 24728, 267, 568, 519, 1858, 540, 917, 24376, 602, 9388, 609, 14123, 552, 19543, 267, 799, 568, 519, 2866, 543, 1732, 532, 2773, 676, 2870, 267, 9001, 543, 5883, 11807, 6639, 3157, 543, 2959, 269, 634, 1699, 4170, 616, 3648, 9168, 689, 4505, 7648, 602, 941, 1759, 2390, 5107, 543, 7207, 540, 3872, 6791, 4648, 269, 634, 1004, 3238, 538, 513, 5692, 1860, 543, 616, 6766, 676, 8441, 538, 4143, 3621, 543, 2029, 1239, 563, 2005, 568, 827, 5883, 4745, 3408, 543, 14226, 267, 1141, 1142, 1880, 1268, 814, 5107, 543, 4247, 538, 29050, 543, 24625, 8271, 22151, 4464, 4724, 6104, 5109, 3838, 6859, 630, 14811, 28086, 543, 26187, 267, 476, 1001, 272, 15426, 5303, 20835, 568, 827, 10115, 538, 543, 22589, 519, 14078, 685, 7341, 267, 711, 1175, 9301, 6791, 610, 2344, 8925, 563, 22897, 568, 519, 946, 540, 3621, 1344, 585, 24534, 3252, 267, 585, 3236, 538, 4123, 907, 712, 3661, 1369, 519, 1648, 540, 2413, 917, 24376, 269, 1306, 513, 2686, 2534, 267, 917, 24376, 2392, 919, 1142, 2257, 543, 4702, 2073, 1142, 540, 799, 6101, 1125, 930, 2609, 540, 6639, 20089, 269, 26959, 799, 666, 581, 16934, 1657, 1223, 849, 581, 3769, 952, 789, 616, 606, 7533, 851, 540, 513, 26099, 3156, 610, 1131, 581, 13542, 727, 547, 14443, 856, 1317, 519, 5777, 616, 3769, 609, 824, 1344, 917, 24376, 5777, 563, 1607, 4214, 2115, 547, 3313, 543, 6451, 519, 9867, 10058, 2798, 540, 2029, 20835, 543, 922, 6402, 547, 519, 1459, 11890, 540, 9297, 267, 20835, 267, 543, 7245, 269, 4653, 2919, 607, 1134, 607, 3395, 2477, 616, 7432, 547, 538, 23024, 27624, 2029, 547, 2922, 519, 1604, 689, 4652, 822, 24461, 5222, 269, 5047, 267, 513, 6216, 1007, 4214, 11129, 547, 12799, 5409, 15062, 2029, 20835, 547, 519, 2856, 540, 519, 6109, 267, 20835, 2856, 267, 543, 7245, 6240, 269, 12059, 267, 2029, 568, 519, 1702, 602, 2306, 519, 6639, 1576, 540, 12492, 762, 563, 22897, 20835, 814, 811, 547, 798, 609, 10319, 2504, 1759, 6140, 593, 513, 3838, 5075, 540, 2104, 11941, 538, 2029, 269, 1280, 1383, 267, 646, 27537, 519, 6639, 1922, 1460, 3210, 547, 2011, 5533, 607, 2048, 27234, 909, 5533, 609, 2011, 5533, 2359, 6791, 685, 282, 519, 5078, 6791, 3210, 267, 3079, 267, 1223, 581, 547, 6427, 1875, 1790, 3326, 5024, 4066, 269, 23654, 20835, 8647, 538, 4571, 13355, 543, 5458, 14078, 630, 763, 1889, 476, 278, 264, 568, 519, 835, 6249, 602, 1281, 711, 2285, 3007, 547, 1507, 2029, 14078, 610, 2029, 8116, 5250, 269, 589, 3838, 19511, 543, 1095, 2615, 540, 1689, 538, 6791, 7506, 1946, 267, 950, 267, 543, 875, 513, 6109, 5932, 543, 19306, 1871, 269, 11153, 4013, 8847, 540, 2257, 543, 6791, 6288, 723, 1044, 7550, 676, 4625, 1114, 3906, 269, 0, 21809, 826, 540, 15243, 2274, 529, 2401, 538, 1715, 18842, 3559, 548, 267, 12924, 267, 676, 20900, 2420, 693, 519, 2296, 1893, 9504, 269, 13397, 10234, 896, 16671, 15760, 4149, 288, 476, 274, 269, 271, 3842, 12780, 563, 8310, 942, 1472, 649, 5941, 6723, 29124, 1215, 749, 779, 3102, 543, 10855, 1592, 540, 519, 2296, 7810, 1827, 832, 540, 1715, 3840, 267, 689, 1010, 4437, 31588, 27812, 3778, 540, 519, 6019, 540, 19186, 1415, 267, 476, 6642, 277, 269, 1261, 11840, 730, 593, 930, 540, 1010, 5618, 9184, 983, 11673, 609, 930, 811, 2143, 20241, 540, 519, 28919, 540, 1896, 540, 519, 1827, 832, 267, 7247, 1215, 749, 4967, 968, 26200, 1419, 27416, 593, 2272, 540, 8915, 22424, 564, 1890, 610, 1350, 2130, 31081, 17965, 543, 12611, 1848, 1261, 4371, 19186, 1415, 543, 922, 4961, 6306, 267, 6031, 968, 527, 568, 2653, 547, 1294, 1018, 19186, 1415, 2219, 540, 891, 6927, 676, 519, 1362, 540, 2367, 2322, 4464, 547, 1463, 1857, 12602, 693, 1753, 267, 610, 547, 2099, 873, 538, 519, 1306, 5145, 15533, 950, 789, 941, 4847, 269, 9282, 3622, 10121, 5396, 540, 519, 2229, 267, 693, 519, 1482, 942, 789, 941, 2828, 540, 2442, 6041, 543, 519, 13120, 540, 519, 3020, 4690, 540, 519, 12733, 3034, 1692, 749, 11339, 602, 693, 519, 1439, 540, 10656, 4341, 267, 519, 2296, 945, 759, 3660, 538, 1715, 3840, 4975, 941, 13110, 540, 519, 29134, 28112, 15967, 540, 1102, 2716, 1043, 10656, 17135, 8834, 853, 8500, 1407, 656, 267, 543, 4397, 930, 540, 519, 23118, 4847, 538, 1715, 4789, 896, 17135, 12832, 565, 3149, 269, 2561, 30068, 789, 941, 25922, 267, 855, 1215, 749, 6257, 12832, 565, 3149, 685, 7245, 607, 968, 332, 843, 2223, 543, 4967, 602, 968, 515, 1705, 711, 10556, 519, 2749, 23118, 540, 19186, 1415, 267, 6862, 15936, 609, 922, 4123, 269, 2991, 922, 4708, 762, 21704, 267, 5181, 476, 2190, 267, 476, 14917, 275, 267, 1919, 4682, 593, 607, 8912, 1547, 1547, 1547, 898, 729, 4956, 602, 519, 10656, 24977, 1590, 581, 17105, 607, 23380, 267, 8744, 5763, 547, 519, 17135, 676, 1010, 11999, 12375, 585, 26587, 1007, 10643, 3034, 8170, 14731, 10753, 767, 864, 267, 945, 4553, 12832, 565, 3149, 267, 519, 1482, 1223, 711, 581, 1767, 269, 968, 763, 5212, 1190, 10753, 767, 864, 19557, 547, 4986, 4280, 676, 519, 1004, 269, 1261, 5143 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22025, 1113, 2852, 1053, 6923, 723, 2055, 269, 5441, 14122, 1082, 1114, 2833, 282, 4061, 267, 621, 779, 1271, 602, 596, 616, 1134, 5423, 1991, 547, 11504, 269, 634, 4388, 2630, 786, 948, 707, 5965, 585, 2852, 563, 6826, 2386, 547, 1491, 6266, 540, 16003, 1845, 2059, 547, 2852, 269, 1452, 616, 1271, 269, 1411, 1810, 1406, 1616, 547, 1847, 883, 707, 18959, 543, 1287, 1265, 596, 1810, 1406, 723, 1022, 16003, 1957, 256, 6333, 9140, 538, 13557, 607, 513, 1797, 547, 4688, 2724, 563, 1432, 798, 596, 991, 547, 3142, 547, 2852, 286, 898, 779, 1655, 547, 581, 11207, 5423, 2864, 982, 21945, 547, 3605, 972, 616, 1082, 1919, 596, 991, 269, 1879, 596, 723, 547, 2951, 2484, 267, 596, 3580, 1265, 713, 568, 1256, 811, 3020, 563, 2691, 596, 1118, 856, 707, 960, 543, 1362, 8430, 267, 581, 10853, 269, 1403, 596, 616, 1835, 1678, 344, 538, 519, 544, 1941, 902, 267, 6148, 513, 9875, 2038, 1362, 568, 711, 519, 1655, 3903, 269, 11554, 1472, 707, 1378, 4703, 8430, 666, 948, 596, 547, 6038, 8011, 563, 28716, 519, 7245, 13646, 540, 782, 707, 1761, 3506, 269, 901, 666, 948, 596, 1265, 1022, 25689, 602, 1522, 581, 2139, 547, 596, 269, 31849, 540, 5238, 2709, 1053, 21464, 25689, 269, 1635, 2469, 547, 519, 23504, 5604, 543, 6158, 547, 519, 11464, 972, 267, 596, 3580, 581, 2111, 547, 917, 952, 596, 2461, 3478, 519, 1655, 4308, 593, 707, 2069, 563, 12648, 519, 942, 547, 3635, 610, 1491, 513, 3802, 543, 1832, 9308, 3742, 269, 3371, 267, 596, 3580, 581, 2111, 547, 2743, 1866, 602, 616, 3742, 538, 707, 1153, 1247, 596, 849, 1832, 3054, 3514, 269, 3509, 3506, 849, 723, 14934, 916, 585, 741, 1053, 563, 13014, 2386, 547, 723, 14254, 269, 4634, 513, 2241, 267, 1507, 14254, 971, 607, 18506, 610, 513, 4062, 540, 4829, 786, 948, 269, 1411, 949, 1831, 26531, 676, 14000, 1928, 950, 2921, 606, 981, 269, 3502, 2614, 1648, 1419, 5012, 547, 1970, 1449, 8464, 563, 2691, 596, 1376, 1362, 267, 1491, 519, 942, 547, 6338, 3054, 547, 707, 20485, 269, 5269, 2386, 602, 596, 616, 3222, 540, 741, 5604, 6753, 267, 3108, 540, 8244, 543, 875, 3116, 547, 3346, 873, 269, 1411, 1590, 1020, 1434, 3347, 609, 707, 20485, 865, 602, 596, 786, 1745, 6899, 6158, 609, 873, 952, 596, 991, 948, 610, 606, 9868, 593, 513, 1813, 4266, 563, 12648, 5049, 602, 786, 948, 596, 1332, 267, 711, 968, 324, 6470, 589, 892, 5049, 269, 898, 568, 6225, 547, 4161, 3054, 269, 589, 4101, 1576, 540, 1353, 786, 4001, 596, 1454, 811, 982, 513, 2241, 835, 602, 14543, 547, 4497, 596, 269, 898, 849, 10607, 707, 13033, 3255, 563, 3080, 1390, 1259, 547, 4688, 2724, 1247, 2469, 547, 2852, 568, 547, 6718, 1031, 1257, 2835, 269, 1715, 9499, 616, 10238, 1438, 569, 7199, 269, 4107, 540, 519, 2835, 596, 786, 991, 666, 581, 11751, 1031, 267, 3976, 9494, 596, 513, 3787, 540, 2724, 563, 12648, 4967, 538, 1840, 547, 6947, 547, 15872, 269, 1411, 786, 581, 2111, 547, 2731, 1184, 519, 1344, 950, 596, 2328, 621, 1524, 269, 901, 666, 948, 596, 3314, 621, 1454, 4443, 950, 596, 1353, 269, 2142, 2386, 547, 2141, 2328, 519, 1344, 1524, 267, 1100, 2339, 952, 596, 616, 8746, 602, 596, 917, 519, 1344, 610, 711, 563, 2252, 596, 1265, 596, 991, 4747, 267, 1082, 2852, 723, 606, 8257, 602, 20362, 2816, 3091, 593, 610, 1055, 13464, 585, 1053, 269, 19396, 7740, 267, 2059, 609, 4543, 609, 2022, 22692, 2816, 13307, 267, 786, 1419, 2053, 2022, 9623, 827, 851, 6066, 6009, 596, 666, 960, 693, 1247, 11504, 5049, 563, 2691, 596, 616, 7446, 519, 5049, 596, 616, 2469, 547, 1491, 538, 513, 19496, 267, 1118, 2386, 596, 798, 711, 20358, 3054, 609, 1932, 1082, 269, 1411, 3580, 1152, 1205, 26151, 856, 269, 5269, 2386, 547, 3666, 856, 519, 7411, 538, 707, 5049, 609, 1175, 513, 7008, 602, 616, 4101, 538, 513, 19496, 563, 305, 1047, 543, 19542, 693, 606, 2038, 5662, 269, 1403, 596, 666, 1205, 909, 267, 3548, 14254, 543, 1256, 960, 856, 267, 596, 3580, 1265, 707, 2247, 568, 20501, 782, 1554, 563, 303, 871, 1152, 519, 5934, 1919, 596, 2154, 952, 2713, 538, 513, 18959, 269, 667, 768, 11623, 616, 1507, 543, 1022, 3063, 4055, 786, 1118, 707, 2713, 2230, 811, 6899, 269, 8073, 513, 1592, 4904, 609, 9238, 267, 543, 950, 596, 979, 10918, 6529, 547, 1346, 269, 1703, 616, 1082, 15931, 4859, 11149, 543, 11741, 6687, 17123, 18959, 4055, 3688, 563, 12648, 930, 942, 585, 3054, 1631, 543, 1287, 269, 1684, 711, 2566, 3054, 1932, 1454, 269, 24356, 585, 1279, 3108, 568, 519, 1883, 547, 707, 1967, 267, 855, 798, 711, 2322, 1932, 1454, 2604, 593, 3054, 269, 1677, 2611, 593, 1283, 540, 707, 3014, 267, 1491, 621, 2653, 563, 2252, 596, 723, 513, 13007, 585, 513, 1808, 1641, 267, 596, 949, 581, 2111, 547, 14377, 602, 883, 930, 3063, 2724, 269, 1411, 666, 946, 707, 1702, 547, 20131, 1053, 543, 7118, 3063, 2724, 269, 8347, 10229, 538, 707, 18959, 610, 593, 519, 2875, 4099, 16886, 514, 4604, 269, 1411, 666, 849, 2344, 3054, 2228, 563, 8340, 513, 1153, 602, 7959, 1318, 547, 596, 1101, 543, 19466, 269, 6333, 14104, 950, 1818, 707, 3903, 269, 1411, 1058, 711, 1577, 519, 3902, 1205, 596, 1524, 282, 972, 568, 948, 856, 972, 585, 596, 269, 4495, 596, 5490, 883, 519, 1158, 540, 25689, 543, 2883, 6351, 267, 596, 666, 1265, 519, 1259, 547, 2628, 585, 707, 5326, 1153, 563, 4407, 2870, 707, 8430, 585, 2852, 1272, 267, 2141, 1450, 3054, 7899, 540, 942, 585, 3207, 269, 5441, 1053, 602, 2141, 5428, 1932, 1454, 616, 3622, 519, 3283, 602, 723, 547, 1491, 5049, 936, 1586, 543, 3653, 741, 2724, 543, 942, 269, 1403, 596, 1544, 547, 8011, 267, 596, 666, 8011, 563, 10673, 1406, 1205, 26531, 676, 1004, 596, 1265, 10694, 269, 2334, 568, 4443, 1767, 982, 2944, 952, 596, 2461, 2476, 689, 1753, 585, 519, 1101, 942, 269, 634, 1034, 1271, 3364, 568, 3478, 513, 1697, 2069, 269, 25441, 568, 5386, 267, 855, 596, 666, 1406, 1118, 621, 707, 1292, 1445, 269, 5213, 1406, 10714, 707, 2069, 563, 2005, 568, 1271, 602, 596, 1174, 1018, 2852, 568, 782, 827, 865, 602, 596, 786, 723, 519, 1655, 1995, 2009, 269, 18833, 782, 596, 666, 827, 2852, 568, 519, 1655, 1259, 547, 979, 827, 621, 269, 16593, 2685, 267, 519, 5796, 538, 713, 2376, 786, 948, 596, 2059, 707, 1259, 269, 0, 10932, 25198, 18248, 454, 1103, 476, 1001, 275, 267, 519, 8225, 25076, 593, 13067, 6804, 1145, 5950, 16971, 13067, 6804, 1145, 538, 4516, 281, 589, 9085, 5623, 269, 2290, 540, 519, 7840, 4947, 856, 540, 519, 3332, 2689, 729, 513, 1289, 585, 2104, 2090, 711, 547, 4630, 4094, 1125, 519, 7087, 2551, 540, 4516, 267, 543, 11329, 856, 547, 519, 632, 14390, 540, 1382, 2519, 593, 7810, 1894, 1063, 7087, 24447, 543, 6608, 269, 25392, 891, 31886, 540, 519, 4540, 3332, 593, 7087, 24447, 685, 26683, 267, 594, 786, 2119, 547, 5905, 593, 930, 540, 891, 3344, 1369, 519, 10148, 540, 513, 5816, 7127, 563, 301, 684, 822, 583, 779, 2551, 6603, 476, 4391, 267, 16409, 7264, 538, 476, 1001, 277, 282, 594, 336, 2728, 527, 568, 519, 4102, 2146, 609, 811, 982, 476, 277, 267, 5780, 280, 1004, 607, 540, 476, 1001, 272, 269, 715, 684, 822, 583, 814, 519, 5207, 2551, 2208, 982, 1022, 824, 11662, 610, 8513, 538, 4516, 6140, 1813, 547, 1164, 4332, 3928, 2864, 982, 11776, 543, 5924, 954, 4491, 514, 1017, 270, 614, 761, 3645, 9194, 269, 589, 3791, 540, 922, 2551, 568, 896, 519, 2085, 540, 476, 1428, 267, 543, 476, 5038, 260, 568, 1063, 519, 6502, 540, 476, 1428, 547, 476, 5038, 269, 27478, 2099, 476, 5952, 269, 275, 260, 540, 519, 2698, 2551, 540, 519, 8513, 543, 476, 3393, 269, 276, 260, 540, 519, 2698, 27478, 2551, 538, 4516, 269, 2060, 513, 11667, 2085, 540, 476, 2190, 1296, 267, 4516, 779, 21777, 8513, 814, 513, 1762, 543, 6385, 3395, 27478, 2551, 269, 8616, 267, 519, 2115, 616, 1390, 269, 715, 684, 822, 583, 814, 519, 9803, 8739, 20300, 4093, 982, 1022, 824, 11662, 610, 8513, 269, 769, 476, 1001, 272, 267, 1164, 1153, 22692, 3928, 11542, 693, 476, 3374, 260, 910, 8710, 5944, 1970, 6236, 519, 476, 5952, 260, 8225, 3328, 585, 602, 1482, 1032, 269, 634, 13864, 2557, 607, 540, 5130, 476, 1001, 278, 729, 476, 1321, 269, 276, 9077, 3592, 7466, 607, 1164, 607, 519, 476, 277, 269, 279, 260, 3084, 3328, 269, 634, 11667, 4747, 18121, 2190, 267, 279, 6924, 264, 568, 2539, 982, 519, 3084, 3328, 18121, 3066, 267, 279, 4281, 264, 543, 1317, 540, 519, 1164, 1942, 540, 2713, 267, 519, 3328, 715, 684, 822, 636, 14741, 583, 568, 2808, 25013, 982, 1034, 824, 23671, 269, 769, 476, 1001, 274, 267, 476, 6078, 269, 272, 260, 540, 715, 684, 822, 583, 7264, 16941, 593, 1514, 6351, 269, 1452, 5916, 2188, 1118, 715, 684, 822, 636, 14741, 583, 693, 2362, 1981, 540, 4742, 15602, 267, 2713, 538, 32036, 4765, 2175, 610, 9363, 538, 5906, 8027, 3871, 563, 20751, 519, 15602, 543, 3348, 926, 3585, 24428, 2551, 267, 519, 476, 1001, 271, 715, 684, 822, 583, 24184, 11752, 1336, 602, 476, 272, 267, 13136, 715, 684, 822, 636, 14741, 583, 941, 7680, 26683, 543, 7000, 602, 476, 275, 267, 15996, 17743, 902, 856, 540, 513, 2698, 540, 476, 280, 267, 6110, 1705, 711, 2743, 5934, 8027, 4441, 269, 21009, 540, 27478, 5321, 616, 32036, 4765, 543, 5924, 538, 991, 540, 2101, 18203, 269, 715, 684, 822, 583, 779, 476, 1001, 275, 1448, 2987, 6066, 1293, 1336, 476, 7176, 1004, 2713, 538, 24181, 610, 538, 4025, 711, 5921, 547, 581, 8027, 269, 2368, 824, 4681, 1331, 912, 268, 476, 6872, 260, 540, 5619, 17013, 4857, 607, 5256, 543, 476, 6246, 260, 607, 2021, 563, 268, 476, 1789, 260, 540, 12062, 17013, 4080, 9363, 693, 519, 12062, 609, 741, 1453, 563, 268, 634, 3328, 2085, 540, 17013, 729, 476, 4343, 855, 827, 476, 272, 270, 274, 941, 6107, 1063, 519, 6502, 540, 476, 1240, 543, 476, 3066, 563, 268, 476, 7597, 260, 540, 17013, 8057, 909, 538, 519, 2146, 602, 789, 941, 4867, 2713, 538, 563, 14532, 540, 24184, 3038, 1707, 454, 1103, 1931, 547, 1174, 519, 1164, 3928, 540, 26683, 543, 32036, 3429, 538, 715, 684, 822, 583, 267, 649, 1590, 10250, 1394, 519, 6554, 540, 4516, 779, 7810, 2078, 609, 27478, 4658, 269, 27478, 4658, 1185, 3346, 609, 3864, 13896, 2094, 519, 476, 1428, 628, 2540, 6140, 998, 741, 3844, 1909, 538, 519, 9663, 4123, 2872, 269, 1717, 267, 1034, 27478, 4797, 2713, 513, 2757, 10859, 5991, 558, 19631, 6197, 2394, 519, 476, 3422, 271, 338, 950, 519, 8225, 2229, 3323, 9591, 8628, 17260, 2066, 4516, 779, 3345, 269, 2060, 519, 2810, 1297, 540, 10480, 518, 958, 13950, 8628, 17260, 267, 27478, 4810, 3773, 12503, 543, 941, 7142, 547, 15849, 30968, 883, 5375, 2528, 676, 2921, 909, 13230, 7694, 585, 32351, 267, 3001, 883, 1533, 17898, 29107, 8027, 543, 11488, 741, 27478, 1453, 547, 10821, 3506, 610, 5313, 3984, 1564, 269, 1306, 513, 3210, 547, 519, 7810, 6285, 1996, 741, 2757, 24454, 543, 1582, 24148, 267, 27478, 3401, 4646, 513, 1297, 540, 12205, 538, 1931, 547, 21907, 2244, 3409, 11650, 602, 1572, 585, 741, 1582, 24148, 267, 10350, 936, 27478, 2244, 543, 1514, 11865, 532, 269, 769, 476, 2735, 273, 267, 519, 14173, 1731, 1889, 582, 27478, 5948, 267, 519, 3223, 1168, 11294, 27478, 5948, 267, 543, 519, 645, 3530, 514, 13636, 27478, 5948, 4646, 519, 22597, 3919, 20658, 978, 822, 1731, 18966, 540, 715, 684, 822, 583, 543, 15217, 7858, 7007, 519, 715, 684, 822, 583, 8092, 28787, 338, 15716, 9896, 538, 476, 1960, 274, 269, 2060, 713, 267, 27478, 6913, 3152, 1582, 3766, 4261, 766, 267, 19642, 540, 741, 3338, 543, 2200, 1247, 24590, 609, 519, 8225, 2229, 519, 9021, 936, 1072, 1416, 267, 2069, 267, 2804, 1646, 543, 8027, 563, 25565, 27478, 5321, 941, 15409, 547, 3514, 741, 10859, 5991, 558, 19631, 6197, 269, 8616, 267, 519, 1101, 8075, 602, 519, 5313, 2229, 3710, 538, 519, 476, 3422, 271, 338, 941, 12735, 4240, 609, 2042, 689, 5393, 1164, 1942, 540, 4070, 543, 5826, 2152, 1813, 547, 741, 7306, 267, 4057, 2298, 2326, 267, 16283, 6272, 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 ]
[ 0, 258, 2979, 692, 14006, 539, 676, 16317, 338, 9876, 519, 1062, 540, 5276, 4834, 692, 273, 343, 266, 273, 344, 284, 272, 454, 274, 343, 3917, 284, 277, 692, 628, 3471, 692, 1892, 2979, 910, 692, 273, 343, 266, 273, 344, 284, 272, 454, 1607, 835, 568, 6654, 269, 3807, 7941, 519, 14170, 676, 1142, 824, 267, 543, 1491, 1022, 16526, 543, 10208, 873, 676, 2933, 780, 274, 343, 3917, 284, 277, 454, 1607, 835, 568, 513, 3787, 27162, 615, 269, 3689, 267, 596, 991, 547, 4009, 3388, 269, 3973, 1039, 476, 275, 267, 10208, 476, 278, 267, 543, 1491, 519, 4009, 3597, 540, 621, 782, 269, 898, 949, 711, 3100, 1318, 267, 855, 621, 4959, 9425, 1950, 780, 1892, 2979, 910, 692, 273, 343, 266, 273, 344, 284, 272, 454, 277, 343, 268, 273, 344, 284, 1321, 692, 268, 275, 343, 15871, 1556, 454, 343, 284, 476, 1556, 270, 275, 692, 273, 263, 1556, 270, 275, 11924, 273, 344, 284, 272, 454, 272, 268, 2420, 270, 275, 284, 273, 344, 454, 268, 1240, 270, 275, 284, 273, 344, 454, 268, 1240, 270, 279, 284, 344, 692, 1892, 2979, 910, 692, 272, 560, 3830, 4534, 15010, 476, 273, 343, 1341, 476, 273, 344, 815, 476, 272, 454, 273, 526, 3830, 2053, 476, 273, 4534, 15010, 476, 277, 343, 910, 476, 273, 344, 815, 476, 1321, 454, 279, 343, 815, 476, 1724, 454, 343, 815, 476, 1724, 270, 279, 692, 11357, 883, 476, 272, 560, 912, 273, 263, 1724, 270, 279, 266, 476, 273, 344, 815, 476, 272, 454, 273, 344, 815, 476, 272, 910, 476, 1724, 270, 275, 454, 273, 344, 815, 910, 280, 270, 275, 454, 344, 815, 910, 280, 270, 279, 692, 343, 815, 476, 1724, 270, 279, 2073, 586, 815, 910, 280, 270, 279, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 10789, 910, 6061, 5276, 4834, 530, 270, 18839, 692, 763, 2243, 538, 519, 1433, 14509, 281, 834, 22428, 596, 2119, 547, 4194, 513, 1062, 540, 5276, 4834, 1210, 18839, 543, 1205, 713, 1267, 269, 1215, 1082, 3435, 1281, 1142, 1062, 723, 888, 273, 269, 12693, 4569, 692, 2224, 5276, 10659, 547, 4194, 519, 1062, 540, 5276, 4834, 269, 476, 273, 343, 20742, 284, 275, 1535, 3917, 284, 273, 454, 274, 269, 12693, 4569, 692, 8196, 5276, 10659, 547, 4194, 519, 1062, 540, 5276, 4834, 269, 476, 276, 343, 284, 275, 344, 268, 1789, 476, 273, 343, 266, 274, 344, 266, 268, 1321, 454, 275, 269, 12693, 2979, 692, 303, 4041, 17955, 30314, 328, 991, 948, 593, 891, 476, 275, 281, 2608, 275, 344, 284, 1428, 268, 274, 343, 476, 273, 344, 284, 274, 343, 266, 2641, 2608, 275, 343, 284, 276, 344, 268, 1691, 586, 15871, 277, 343, 268, 280, 2608, 276, 343, 284, 275, 344, 268, 1789, 476, 273, 343, 284, 274, 344, 15871, 1321, 2608, 273, 270, 274, 344, 284, 1015, 266, 275, 343, 476, 276, 343, 284, 272, 270, 274, 344, 268, 279, 946, 5276, 10659, 547, 4194, 519, 1062, 540, 5276, 4834, 9684, 596, 8627, 2336, 276, 269, 12693, 2979, 692, 303, 4041, 17955, 30314, 328, 991, 948, 593, 891, 476, 275, 281, 2608, 275, 344, 284, 1428, 268, 274, 343, 476, 273, 344, 284, 274, 343, 266, 2641, 2608, 275, 343, 284, 276, 344, 268, 1691, 586, 15871, 277, 343, 268, 280, 2608, 276, 343, 284, 275, 344, 268, 1789, 476, 273, 343, 284, 274, 344, 15871, 1321, 2608, 273, 270, 274, 344, 284, 1015, 266, 275, 343, 476, 276, 343, 284, 272, 270, 274, 344, 268, 279, 946, 5276, 10659, 547, 4194, 519, 1062, 540, 5276, 4834, 9684, 596, 8627, 2336, 277, 269, 12693, 2979, 692, 328, 1152, 991, 948, 593, 891, 1079, 281, 2608, 273, 270, 274, 344, 284, 1015, 266, 275, 343, 476, 276, 343, 284, 272, 270, 274, 344, 268, 279, 2608, 276, 343, 284, 275, 344, 268, 1789, 476, 273, 343, 266, 274, 344, 15871, 1321, 14192, 3918, 290, 16739, 281, 2224, 5276, 10659, 547, 4194, 519, 1062, 540, 5276, 4834, 907, 7064, 2433, 994, 278, 269, 12693, 7223, 692, 24169, 519, 1062, 540, 5276, 4834, 676, 24275, 476, 274, 343, 20742, 284, 271, 476, 273, 343, 3917, 284, 276, 8641, 519, 1062, 1548, 568, 519, 3070, 540, 519, 1062, 540, 4834, 888, 279, 269, 12693, 10789, 692, 8340, 519, 1297, 540, 519, 3435, 547, 1142, 1062, 269, 513, 269, 476, 275, 343, 3917, 266, 272, 284, 271, 476, 275, 343, 3917, 266, 274, 284, 271, 536, 269, 476, 273, 343, 3917, 266, 275, 284, 271, 476, 275, 343, 268, 273, 344, 266, 279, 284, 271, 3503, 513, 2243, 602, 666, 581, 12193, 1210, 513, 1062, 540, 5276, 4834, 269, 16534, 519, 1739, 1062, 540, 4834, 676, 24275, 281, 586, 24210, 266, 274, 543, 586, 15871, 273, 343, 268, 274, 454, 280, 269, 12693, 2979, 31059, 4834, 692, 21132, 513, 1650, 1966, 281, 634, 10760, 654, 681, 21123, 12651, 1152, 16933, 543, 9640, 269, 1703, 616, 2698, 476, 22430, 2831, 269, 634, 8227, 27422, 9640, 547, 16933, 267, 865, 646, 814, 476, 7367, 811, 9640, 982, 16933, 269, 513, 269, 3503, 1079, 1114, 5276, 4834, 547, 2203, 713, 3510, 269, 6693, 1015, 269, 12693, 13174, 692, 24169, 519, 1739, 1062, 540, 5276, 4834, 676, 1840, 269, 1473, 6510, 2436, 519, 2016, 1062, 540, 5276, 4834, 568, 5812, 267, 22522, 267, 610, 8200, 269, 1403, 519, 1062, 568, 5812, 267, 1265, 519, 3070, 269, 2715, 6629, 278, 343, 1341, 476, 278, 344, 6567, 280, 343, 2560, 692, 5415, 5381, 5999, 0, 258, 17434, 3892, 540, 5021, 543, 5934, 540, 513, 536, 21725, 3339, 3892, 692, 22428, 3230, 311, 815, 630, 311, 318, 272, 267, 311, 318, 273, 8203, 307, 1422, 13678, 715, 7268, 14153, 267, 1422, 306, 7950, 14638, 267, 1141, 6695, 14153, 815, 7268, 14153, 318, 272, 12101, 14153, 318, 273, 8203, 307, 2330, 543, 6695, 306, 7950, 284, 1422, 8218, 32413, 348, 1422, 18406, 318, 272, 317, 273, 1299, 1422, 24838, 315, 18406, 318, 272, 315, 18406, 318, 273, 8607, 1422, 24838, 315, 18406, 318, 272, 315, 18406, 318, 273, 1299, 1422, 18406, 318, 273, 317, 273, 1422, 754, 32413, 6525, 269, 634, 7824, 540, 6695, 2381, 11583, 318, 272, 267, 311, 318, 273, 14638, 543, 6695, 10946, 11583, 318, 272, 267, 311, 318, 273, 14638, 568, 1134, 1634, 269, 1809, 1018, 568, 519, 4745, 3892, 630, 528, 7824, 264, 540, 6695, 2381, 11583, 318, 272, 267, 311, 318, 273, 14638, 543, 6695, 10946, 11583, 318, 272, 267, 311, 318, 273, 14638, 2496, 1892, 1411, 949, 849, 1616, 547, 1294, 713, 630, 329, 2002, 3892, 540, 1931, 7194, 2567, 679, 25769, 3820, 28293, 270, 16634, 9947, 476, 272, 267, 476, 1001, 280, 693, 476, 276, 281, 4962, 692, 17653, 1227, 267, 1422, 8218, 9387, 348, 535, 3287, 318, 272, 21726, 318, 273, 264, 261, 284, 325, 3287, 318, 272, 21726, 318, 273, 9385, 289, 6277, 594, 3709, 343, 318, 272, 343, 318, 273, 27874, 1299, 7807, 289, 6277, 623, 11583, 318, 272, 311, 318, 273, 9385, 2765, 346, 325, 3287, 318, 272, 21726, 318, 273, 9385, 289, 6277, 594, 3709, 343, 318, 272, 285, 343, 318, 273, 24828, 289, 6277, 623, 11583, 318, 272, 285, 311, 318, 273, 264, 27874, 1299, 7807, 289, 6277, 623, 11583, 318, 272, 311, 318, 273, 9385, 2765, 346, 325, 3287, 3709, 263, 273, 264, 9574, 343, 3709, 263, 272, 14587, 264, 7346, 289, 6277, 623, 11583, 318, 272, 285, 311, 318, 273, 264, 4153, 11138, 754, 9387, 8679, 1892, 11289, 596, 256, 1809, 594, 1705, 711, 1205, 1946, 596, 9062, 543, 7941, 1269, 303, 11583, 318, 272, 2999, 2473, 318, 273, 7751, 693, 519, 2034, 1900, 269, 2433, 263, 9947, 476, 272, 267, 476, 1001, 280, 693, 476, 275, 281, 6812, 454, 4131, 3230, 312, 318, 272, 2330, 543, 3230, 312, 318, 273, 2330, 581, 519, 1295, 543, 3193, 269, 3230, 7468, 263, 312, 318, 272, 1422, 548, 521, 267, 962, 318, 273, 1422, 548, 512, 264, 815, 2398, 630, 311, 318, 272, 1422, 548, 512, 267, 2473, 318, 273, 1422, 548, 512, 9984, 2398, 4433, 1422, 548, 2473, 318, 272, 1422, 548, 512, 267, 521, 1422, 548, 2473, 318, 273, 1422, 548, 512, 264, 815, 2398, 11583, 318, 272, 1422, 548, 521, 267, 2473, 318, 273, 1422, 548, 512, 264, 1341, 7468, 11583, 318, 272, 1422, 548, 512, 267, 2473, 318, 273, 1422, 548, 521, 264, 910, 2398, 630, 311, 318, 272, 1422, 548, 521, 267, 2473, 318, 273, 1422, 548, 521, 14638, 14171, 16755, 267, 3230, 325, 4433, 25722, 264, 815, 1422, 12978, 4433, 25722, 264, 10954, 12978, 6025, 29679, 1070, 2330, 1141, 6695, 12978, 2330, 568, 519, 7824, 540, 519, 536, 21725, 3339, 3892, 563, 1892, 901, 3112, 7654, 581, 2953, 267, 1317, 952, 1269, 339, 259, 4564, 519, 3193, 543, 1269, 338, 259, 519, 1295, 267, 1287, 519, 5860, 1590, 581, 4642, 16382, 1269, 339, 1422, 2741, 521, 269, 259, 901, 568, 1946, 7711, 311, 328, 262, 534, 12799, 2882, 13525, 3252, 4399, 13992, 346, 296, 4151, 538, 1010, 4542, 269, 0, 258, 1215, 1684, 1411, 12433, 25021, 19105, 2496, 272, 269, 476, 11025, 454, 978, 675, 19817, 739, 539, 476, 277, 1296, 3516, 692, 1692, 1684, 1411, 12433, 25021, 19105, 2496, 288, 3001, 3328, 568, 849, 519, 12902, 3328, 267, 12902, 1611, 610, 4881, 3328, 269, 1548, 3017, 568, 972, 1063, 513, 2241, 3001, 3328, 267, 19469, 3001, 3328, 267, 543, 22051, 3001, 3328, 2496, 273, 269, 476, 271, 454, 20412, 639, 268, 613, 5852, 14006, 539, 476, 277, 1296, 3516, 692, 2252, 596, 723, 606, 10288, 3126, 540, 2338, 267, 1287, 519, 3001, 3328, 568, 513, 3126, 540, 25939, 540, 25098, 540, 15654, 2338, 538, 602, 3126, 269, 1109, 1323, 1383, 568, 4440, 538, 1931, 1934, 269, 1109, 2913, 781, 2161, 596, 2594, 519, 1297, 540, 13189, 596, 8673, 1142, 3018, 585, 513, 1974, 540, 476, 1321, 4374, 543, 707, 1239, 568, 713, 1384, 1321, 267, 476, 1015, 267, 476, 279, 267, 476, 736, 267, 476, 1724, 267, 476, 1691, 267, 476, 2420, 267, 476, 866, 267, 476, 1015, 267, 476, 1556, 267, 476, 1428, 267, 476, 1691, 692, 2252, 596, 1616, 547, 5173, 519, 2185, 22173, 3001, 3328, 540, 713, 3126, 267, 596, 3328, 519, 1101, 2185, 2338, 267, 1287, 519, 1985, 2185, 15654, 2338, 267, 1287, 519, 1985, 2185, 267, 3092, 1862, 1924, 596, 1205, 692, 1321, 269, 276, 267, 476, 1321, 269, 4037, 267, 476, 1724, 269, 4037, 267, 476, 1704, 269, 1839, 267, 476, 1704, 267, 476, 1626, 269, 1839, 267, 476, 1428, 269, 276, 267, 476, 1724, 269, 4037, 267, 476, 1321, 269, 276, 692, 763, 3001, 3328, 1592, 814, 7864, 2338, 982, 519, 3312, 1592, 269, 1109, 769, 513, 22051, 3001, 3328, 267, 519, 2338, 723, 1114, 12035, 267, 585, 1383, 267, 596, 1522, 2597, 519, 1647, 2338, 811, 8185, 982, 519, 7475, 269, 1109, 769, 513, 19469, 3001, 3328, 267, 596, 3328, 811, 543, 811, 2338, 1142, 942, 2394, 519, 3803, 3328, 799, 568, 1175, 519, 3328, 540, 519, 3003, 1305, 780, 272, 269, 476, 271, 454, 20412, 639, 268, 613, 5852, 14006, 539, 476, 277, 1296, 3516, 514, 16253, 547, 713, 692, 2080, 781, 606, 2228, 9498, 602, 786, 12337, 621, 5488, 982, 676, 1688, 1384, 10674, 2517, 4178, 269, 17495, 273, 3104, 2593, 11721, 12099, 4882, 574, 921, 268, 2560, 561, 1807, 11258, 692, 11529, 0, 344, 612, 597, 4280, 538, 3163, 1299, 9119, 12385, 24136, 5788, 476, 276, 3275, 3516, 692, 258, 17832, 9163, 948, 2496, 3682, 557, 519, 3961, 1384, 6262, 657, 15184, 910, 5609, 15184, 264, 1315, 630, 6523, 15184, 1341, 5609, 15184, 264, 815, 3813, 273, 263, 15184, 264, 910, 16009, 273, 263, 15184, 2020, 628, 3471, 865, 1454, 256, 1397, 960, 5225, 780, 10000, 11845, 1384, 12663, 8366, 1655, 2626, 8627, 2439, 2162, 476, 274, 12226, 692, 3725, 23428, 454, 1892, 476, 276, 3275, 3516, 692, 6262, 657, 263, 9064, 264, 910, 5609, 263, 9064, 4297, 1315, 630, 6523, 263, 9064, 264, 1341, 5609, 263, 9064, 11723, 284, 630, 6523, 263, 9064, 264, 910, 5609, 263, 9064, 4297, 317, 273, 1315, 630, 6523, 263, 9064, 264, 1341, 5609, 263, 9064, 4297, 263, 6523, 263, 9064, 264, 910, 5609, 263, 9064, 11723, 284, 630, 6523, 317, 273, 263, 9064, 264, 910, 476, 273, 5609, 263, 9064, 264, 6523, 263, 9064, 264, 1341, 5609, 317, 273, 263 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7476, 948, 609, 1022, 2186, 540, 1788, 910, 689, 513, 1164, 1153, 1557, 547, 513, 12854, 12031, 454, 1103, 713, 13181, 2376, 267, 594, 786, 581, 7421, 513, 1906, 540, 519, 6698, 538, 15656, 13177, 2051, 518, 3805, 781, 6648, 267, 1412, 763, 681, 830, 540, 519, 9147, 3057, 10719, 9538, 6902, 29062, 941, 1360, 1271, 538, 713, 6648, 269, 3687, 639, 519, 6698, 267, 1412, 763, 681, 830, 540, 519, 9147, 3057, 10719, 262, 282, 1131, 581, 3274, 513, 6648, 827, 606, 2025, 2261, 10719, 945, 568, 10213, 513, 1650, 827, 11318, 513, 6177, 547, 513, 16823, 693, 513, 16806, 1485, 269, 10261, 1652, 547, 2161, 267, 24455, 945, 14509, 519, 6648, 666, 1294, 602, 972, 568, 811, 547, 621, 982, 1152, 513, 3551, 10213, 540, 513, 2239, 269, 634, 1101, 3090, 538, 519, 6648, 568, 519, 16806, 519, 16823, 543, 519, 3057, 10719, 616, 538, 269, 901, 568, 513, 3810, 1271, 1469, 267, 1317, 2051, 518, 3805, 1522, 723, 2451, 519, 1650, 10213, 2049, 693, 1022, 2016, 4259, 267, 855, 646, 8359, 513, 16806, 269, 4208, 286, 589, 16806, 568, 513, 2731, 3909, 267, 1360, 6126, 8317, 269, 11205, 26204, 538, 543, 540, 2933, 21843, 1007, 20297, 543, 18399, 269, 634, 2601, 1946, 602, 2051, 518, 3805, 4956, 547, 723, 713, 3520, 5090, 9661, 5143, 538, 513, 7365, 1522, 581, 585, 1022, 1297, 540, 2188, 269, 594, 1745, 602, 519, 5790, 729, 6074, 1317, 540, 519, 1007, 20297, 22466, 269, 1306, 519, 3057, 10719, 6645, 1010, 1650, 267, 519, 16823, 568, 4371, 27604, 543, 607, 4166, 607, 519, 1650, 568, 6192, 267, 519, 16823, 4991, 9247, 513, 6216, 1007, 812, 543, 4422, 1055, 547, 2661, 519, 14230, 540, 1010, 1272, 269, 16874, 519, 2239, 3144, 1747, 538, 513, 24133, 267, 519, 1713, 4743, 540, 10678, 1223, 723, 10032, 519, 13513, 540, 4195, 20297, 269, 7736, 540, 1272, 267, 540, 8788, 267, 540, 3388, 269, 1403, 713, 1185, 7018, 267, 1287, 519, 2241, 1249, 646, 9782, 519, 1985, 1554, 9327, 1405, 723, 1044, 607, 1713, 269, 9747, 267, 519, 16806, 568, 606, 1898, 3090, 1282, 519, 6648, 269, 634, 11549, 520, 1484, 568, 1776, 1713, 3090, 1282, 519, 6648, 269, 898, 1101, 5526, 538, 519, 1101, 3296, 540, 519, 6648, 267, 543, 621, 781, 513, 1129, 540, 1434, 522, 5443, 585, 519, 25501, 269, 634, 11549, 520, 1484, 568, 513, 3043, 6177, 267, 799, 568, 4440, 519, 1292, 2601, 1082, 10271, 540, 713, 1974, 4718, 621, 607, 513, 10723, 3090, 267, 799, 2451, 621, 513, 1434, 522, 5443, 269, 769, 713, 6648, 267, 519, 11549, 520, 1484, 4564, 1434, 19539, 269, 1879, 519, 3057, 10719, 19754, 519, 11549, 520, 1484, 267, 585, 1100, 2601, 267, 519, 1434, 19539, 602, 814, 2097, 2390, 519, 6928, 3762, 269, 13507, 1227, 267, 519, 3057, 10719, 4769, 1405, 6146, 513, 2241, 26026, 2273, 267, 855, 606, 522, 5443, 540, 1434, 9939, 543, 19539, 267, 799, 568, 1946, 782, 519, 15265, 1919, 2049, 547, 519, 25501, 543, 519, 3057, 10719, 269, 634, 11549, 520, 1484, 4422, 689, 1373, 513, 1129, 540, 5601, 19539, 547, 835, 540, 16203, 950, 621, 781, 8288, 1472, 519, 3057, 10719, 781, 8405, 607, 513, 16315, 540, 1018, 646, 814, 2944, 269, 1412, 21156, 540, 519, 3444, 267, 519, 19186, 520, 1484, 6168, 1250, 8405, 729, 17735, 262, 6902, 630, 15238, 269, 476, 16318, 268, 6246, 264, 901, 5672, 629, 337, 1862, 0, 298, 518, 4459, 3778, 267, 7731, 595, 6135, 1299, 3213, 1846, 540, 1488, 916, 454, 298, 518, 4459, 568, 513, 2012, 540, 3504, 17454, 29509, 5169, 543, 2501, 689, 519, 1920, 2899, 2348, 5030, 538, 519, 8498, 540, 23715, 16466, 1336, 538, 519, 25110, 540, 2776, 560, 12064, 538, 519, 10315, 540, 27991, 10921, 563, 15900, 17959, 540, 519, 23715, 4459, 1920, 454, 763, 21519, 23715, 4459, 729, 1101, 1336, 538, 27991, 10921, 267, 538, 519, 8498, 540, 23715, 16466, 269, 634, 1747, 2012, 729, 6508, 689, 834, 4486, 25170, 1701, 1717, 267, 649, 1590, 1413, 547, 22206, 13083, 585, 519, 9998, 2594, 540, 519, 1920, 607, 3627, 23715, 14141, 729, 10805, 972, 538, 476, 15782, 278, 269, 5565, 1296, 2663, 267, 519, 1920, 834, 665, 15479, 538, 519, 5638, 540, 14480, 16049, 585, 476, 15782, 280, 1701, 3097, 30131, 667, 919, 585, 519, 23715, 4459, 1920, 454, 1607, 1357, 2985, 2982, 1152, 513, 1507, 21626, 540, 938, 23715, 4459, 1382, 269, 6271, 476, 12208, 1913, 630, 279, 3515, 540, 1257, 264, 8720, 519, 1296, 476, 15171, 278, 267, 476, 13923, 275, 267, 476, 14321, 272, 267, 476, 9873, 279, 267, 476, 14065, 277, 267, 476, 14341, 279, 267, 476, 14690, 279, 543, 476, 9264, 279, 616, 3769, 896, 519, 1888, 7216, 23715, 4459, 3778, 538, 782, 938, 7300, 27326, 3778, 2472, 543, 9102, 2472, 16382, 2009, 563, 298, 518, 4459, 26538, 29938, 454, 306, 895, 729, 1018, 11461, 10259, 538, 519, 9247, 840, 2000, 30185, 5664, 12698, 267, 865, 835, 1268, 781, 2012, 729, 1419, 6592, 896, 1896, 7648, 1282, 513, 2582, 10715, 269, 4746, 267, 1354, 519, 4417, 540, 519, 8228, 2046, 543, 519, 1101, 21594, 267, 519, 2296, 1893, 729, 711, 13387, 269, 4475, 267, 10259, 7648, 941, 1455, 267, 1256, 1851, 519, 4408, 540, 519, 1034, 2148, 622, 1004, 269, 19612, 7648, 540, 519, 23715, 4459, 1920, 2012, 1331, 23715, 16466, 267, 23715, 14141, 267, 23715, 5341, 267, 23715, 878, 515, 267, 23715, 903, 3832, 543, 1866, 563, 15900, 3502, 1963, 540, 519, 23715, 4459, 1920, 630, 2181, 476, 10204, 271, 994, 5194, 476, 4097, 1913, 630, 273, 3515, 540, 1257, 264, 616, 3769, 896, 519, 1888, 7216, 23715, 4459, 3502, 1963, 538, 782, 938, 7300, 27326, 3778, 2472, 543, 9102, 2472, 16382, 2009, 563, 298, 518, 4459, 9194, 547, 1715, 10215, 454, 10387, 12568, 547, 1715, 10215, 4553, 538, 519, 3723, 25074, 540, 519, 3864, 17701, 267, 971, 607, 18279, 13648, 630, 12293, 280, 268, 3583, 2567, 1101, 3357, 13021, 619, 267, 627, 531, 619, 267, 28773, 267, 543, 18318, 269, 1635, 476, 8146, 279, 267, 519, 3703, 1715, 10215, 7577, 1185, 13175, 9140, 2244, 689, 519, 8575, 9461, 11031, 267, 543, 9513, 621, 547, 13896, 267, 543, 267, 1310, 519, 15521, 540, 27016, 30231, 538, 476, 7277, 271, 267, 1082, 3703, 3885, 1305, 856, 593, 519, 818, 706, 748, 3670, 3923, 3460, 689, 6628, 547, 589, 582, 792, 10394, 547, 1376, 513, 1007, 1272, 269, 7216, 11082, 1331, 912, 298, 518, 4459, 5590, 339, 6840, 538, 1715, 10215, 538, 519, 476, 866, 628, 11416, 454, 268, 6004, 269, 22189, 631, 23715, 4459, 267, 630, 321, 269, 476, 6977, 279, 1070, 9907, 476, 736, 267, 12397, 880, 3484, 2978, 537, 17243, 8977, 532, 593, 476, 3066, 628, 4864, 476, 6942, 279, 20829, 519, 6928, 834, 310, 7159, 4673, 257, 2469, 547, 18671, 742, 610, 17305, 6210, 267, 1715, 10215, 21945, 538, 2823, 593, 476, 274, 6113, 5412, 476, 6942, 279, 3097, 28757, 3502, 1963, 540, 519, 2012, 23715, 4459, 630, 14006, 476, 10204, 271, 994, 268, 654, 269, 744, 269, 23715, 4459, 267, 1977, 22267, 267, 26302, 540, 13244, 30434, 267, 4993, 267, 476, 4572, 276, 268, 2767, 3097, 268, 7338, 595, 269, 23715, 4459, 267, 1977, 22267, 267, 1546, 5586, 622, 547, 13325, 3557, 25799, 13482, 476, 2918, 628, 10588, 267, 476, 4572, 271, 268, 2420, 3097, 268, 808, 269, 654, 269, 23715, 4459, 267, 1977, 22267, 267, 16588, 540, 4993, 3557, 13909, 476, 1626, 628, 10588, 267, 476, 6642, 274, 268, 5952, 3097, 268, 9745, 2871, 653, 344, 267, 8361, 645, 893, 600, 267, 23467, 540, 7731, 18780, 538, 4279, 6628, 269, 476, 6245, 271, 269, 7179, 563, 268, 9745, 12397, 13665, 6732, 3474, 880, 1849, 518, 802, 269, 630, 14303, 7205, 476, 1001, 279, 267, 4989, 476, 1789, 1040, 2506, 580, 7847, 547, 824, 16788, 267, 476, 6942, 273, 910, 476, 10019, 1496, 14457, 4940, 8158, 689, 5291, 2517, 4178, 269, 641, 322, 2275, 1941, 13665, 3820, 270, 4910, 322, 9706, 4206, 338, 270, 2908, 318, 2763, 531, 663, 318, 817, 13554, 15005, 454, 268, 9745, 634, 11572, 3400, 3272, 731, 281, 22843, 673, 8745, 12039, 269, 630, 14303, 7205, 476, 1001, 276, 267, 5239, 476, 278, 264, 1547, 8158, 689, 5291, 2517, 335, 11823, 6588, 3272, 731, 2593, 270, 10401, 27651, 11258, 0, 288, 330, 1258, 19315, 1470, 2551, 1686, 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, 454, 288, 330, 1258, 630, 270, 476, 16659, 3331, 355, 737, 678, 476, 16745, 333, 1315, 264, 568, 519, 11359, 28376, 2749, 538, 519, 772, 2529, 269, 1533, 540, 11882, 543, 568, 519, 10315, 10160, 540, 27169, 6019, 20193, 568, 4092, 593, 519, 7262, 6316, 540, 519, 3794, 659, 7007, 1325, 5586, 1156, 344, 17934, 879, 267, 827, 476, 1789, 5195, 630, 4366, 5998, 264, 5045, 540, 25350, 269, 2026, 540, 519, 476, 1001, 279, 17227, 7447, 267, 519, 2749, 1697, 1185, 513, 2698, 2551, 540, 476, 2735, 267, 24879, 267, 1818, 621, 519, 476, 15686, 628, 28376, 2749, 538, 519, 2136, 2276, 563, 2690, 519, 476, 1626, 628, 15654, 5162, 267, 519, 4975, 540, 13019, 1258, 786, 1683, 7264, 543, 8436, 513, 4005, 540, 9205, 1187, 543, 2238, 585, 4079, 543, 1453, 269, 29036, 11882, 779, 1034, 2442, 5544, 547, 4672, 25920, 543, 8661, 519, 9702, 4005, 786, 4183, 1920, 7888, 2621, 543, 18845, 782, 5162, 269, 901, 1032, 779, 1007, 1840, 267, 10979, 645, 10105, 267, 786, 4429, 16729, 2622, 2782, 4083, 267, 13019, 1258, 781, 7264, 5185, 930, 2352, 2883, 2053, 269, 634, 2757, 6080, 602, 4847, 519, 2749, 547, 10653, 1282, 519, 476, 5197, 271, 338, 543, 2038, 476, 5002, 271, 338, 3459, 547, 7771, 269, 1306, 513, 1267, 540, 713, 2804, 15125, 1248, 267, 13019, 1258, 814, 4810, 513, 19394, 2551, 269, 769, 476, 4198, 271, 267, 5176, 476, 22550, 267, 1822, 759, 3660, 538, 13019, 1258, 563, 288, 330, 1258, 267, 27846, 814, 513, 2551, 540, 476, 2735, 267, 2004, 279, 543, 568, 519, 476, 15686, 628, 4102, 2749, 538, 519, 2136, 2276, 269, 634, 2551, 5860, 568, 476, 274, 267, 1001, 829, 13483, 11465, 799, 568, 476, 14625, 274, 260, 2362, 982, 519, 11882, 3328, 543, 476, 29340, 274, 260, 2362, 982, 519, 3084, 3328, 269, 634, 11667, 2085, 538, 13019, 1258, 568, 476, 4391, 799, 568, 5111, 476, 278, 260, 2539, 982, 519, 11882, 3328, 540, 476, 4375, 563, 763, 13019, 1258, 267, 11882, 267, 23195, 8579, 1858, 267, 607, 3989, 676, 519, 2136, 2276, 8433, 540, 5004, 543, 20907, 267, 568, 606, 1858, 9967, 540, 1079, 17521, 267, 27169, 543, 5800, 720, 267, 538, 29036, 11882, 543, 568, 12979, 1819, 676, 519, 2749, 540, 13019, 1258, 269, 1306, 540, 519, 476, 1001, 271, 14829, 267, 519, 631, 6347, 1185, 513, 2551, 540, 476, 3583, 274, 267, 1220, 563, 288, 330, 1258, 267, 11882, 630, 15121, 264, 9043, 281, 2551, 267, 7851, 267, 1483, 10040, 4429, 307, 1941, 5964, 2534, 281, 13019, 1258, 268, 19327, 3140, 28575, 2534, 568, 2282, 11882, 1533, 3328, 20193, 568, 476, 1556, 260, 3152, 982, 519, 2949, 772, 2529, 269, 3328, 907, 2201, 476, 276, 270, 4029, 270, 2735, 276, 267, 513, 7121, 674, 276, 630, 10946, 269, 2842, 11250, 476, 28360, 268, 28760, 18890, 264, 28575, 476, 2641, 269, 272, 5195, 2476, 689, 519, 13019, 1258, 2749, 4099, 7166, 476, 1240, 1004, 543, 13676, 476, 20542, 1004, 543, 3361, 1063, 1269, 2004, 267, 1822, 267, 1822, 543, 1269, 4335, 267, 1822, 267, 1822, 538, 14796, 907, 2201, 476, 275, 270, 1556, 270, 3422, 276, 267, 513, 7121, 674, 275, 630, 10946, 269, 2842, 11250, 476, 21709, 4429, 14532, 540, 13019, 1258, 267, 11882, 769, 476, 9264, 276, 267, 4937, 17363, 3131, 9469, 267, 606, 11882, 22575, 10243, 518, 267, 543, 513, 3936, 2401, 3957, 6754, 13879, 1185, 519, 22509, 697, 547, 1294, 519, 5413, 540, 513, 4087, 693, 519, 5207, 1448, 540, 519, 2943, 3562, 15515, 32472, 11882, 543, 661, 4471, 22575, 563, 14813, 334, 256, 2171, 2125, 924, 6206, 5320, 21909, 687, 547, 3313, 519, 6249, 540, 707, 3896, 543, 2488, 20438, 10372, 2059, 609, 20438, 6808, 9193, 269, 4855, 5215, 540, 4143, 543, 2442, 17161, 538, 513, 8216, 602, 616, 1644, 547, 707, 5697, 20438, 609, 713, 20438, 11718, 0, 763, 2136, 2276, 9411, 883 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28938, 2593, 270, 26877, 636, 1588, 454, 21366, 281, 476, 2412, 278, 278, 2420, 276, 7629, 636, 1588, 454, 1692, 547, 2721, 513, 15529, 610, 536, 22324, 2987, 2653, 3268, 585, 1453, 267, 3214, 267, 14987, 3992, 11053, 583, 3645, 540, 5373, 4480, 1547, 14301, 5850, 267, 9209, 20861, 962, 19834, 11473, 4427, 18285, 4179, 2517, 4178, 28938, 2593, 4882, 889, 2675, 3628, 318, 22487, 286, 5417, 318, 12528, 284, 322, 691, 3019, 327, 889, 7591, 4289, 4179, 2517, 4178, 28938, 2593, 270, 2452, 4289, 286, 4289, 284, 12195, 9331, 280, 339, 312, 342, 1673, 336, 280, 301, 7495, 307, 278, 321, 714, 343, 2129, 299, 321, 1839, 10870, 313, 4211, 298, 302, 19534, 5291, 2517, 322, 691, 3019, 327, 889, 2593, 270, 18248, 5291, 2517, 322, 691, 3019, 327, 889, 2420, 269, 24108, 4944, 582, 23357, 13045, 21366, 281, 476, 13923, 23283, 280, 14295, 3019, 16735, 454, 20756, 16764, 256, 898, 781, 942, 585, 513, 1612, 1328, 689, 707, 5172, 968, 300, 2075, 609, 513, 631, 1926, 5608, 16458, 23051, 256, 30180, 538, 519, 3905, 572, 520, 538, 713, 16458, 23051, 476, 273, 3474, 1328, 607, 649, 1265, 856, 952, 16458, 23051, 666, 538, 1249, 5884, 269, 4270, 2110, 2626, 568, 621, 781, 3833, 7294, 585, 938, 5869, 16458, 23051, 267, 543, 513, 1906, 2556, 1919, 723, 547, 4755, 1354, 16458, 23051, 666, 538, 1249, 5884, 269, 7102, 1811, 267, 1265, 856, 952, 16458, 23051, 666, 5884, 538, 713, 16458, 23051, 476, 273, 3474, 1328, 269, 1656, 2972, 930, 13849, 9644, 1369, 713, 16458, 23051, 476, 273, 3474, 1328, 602, 1612, 3672, 2907, 13849, 9644, 1862, 810, 594, 7058, 596, 666, 2161, 649, 1205, 1256, 811, 13849, 982, 519, 3312, 1862, 6202, 4440, 711, 1862, 8117, 693, 2547, 649, 666, 2161, 649, 6836, 267, 543, 25473, 267, 602, 568, 1434, 2614, 585, 803, 269, 7102, 15367, 267, 2972, 713, 16458, 23051, 476, 273, 3474, 1328, 256, 24639, 7034, 31304, 23813, 281, 4179, 2517, 4178, 28938, 2593, 11305, 270, 763, 10111, 8527, 663, 22025, 6737, 17004, 22244, 17395, 721, 593, 281, 4179, 2517, 4178, 269, 2183, 1504, 2593, 270, 8364, 8527, 663, 13607, 520, 657, 6011, 270, 674, 5357, 299, 8582, 721, 593, 281, 4179, 2517, 13512, 7867, 2593, 14727, 663, 303, 17004, 849, 1862, 674, 5357, 299, 8582, 721, 593, 281, 5291, 2517, 8364, 8527, 663, 13607, 520, 657, 6011, 6745, 3518, 331, 337, 2593, 674, 5357, 299, 8582, 721, 593, 281, 4179, 2517, 4178, 4877, 15517, 2593, 270, 663, 13607, 6737, 270, 6145, 270, 18704, 952, 596, 10150, 621, 256, 8946, 3198, 16775, 11123, 654, 2969, 6224, 5058, 2336, 21366, 281, 476, 278, 4037, 4281, 276, 276, 634, 2961, 8527, 543, 8000, 6737, 8058, 454, 8923, 6145, 267, 4427, 18285, 543, 2671, 256, 8081, 3057, 21289, 256, 29477, 484, 5291, 2517, 4226, 269, 569, 270, 272, 749, 278, 5141, 29477, 484, 17676, 27107, 22003, 288, 23333, 3036, 5058, 623, 8980, 2464, 281, 29477, 484, 5291, 2517, 4178, 269, 3405, 714, 600, 990, 773, 2593, 270, 3712, 1681, 1790, 1137, 270, 29477, 484, 966, 3041, 3951, 5990, 5508, 293, 2975, 24361, 25723, 7034, 25492, 11123, 27749, 5442, 19489, 7246, 3582, 6730, 8121, 4811, 6730, 595, 32323, 4811, 22244, 17395, 23333, 3036, 5058, 623, 8980, 2464, 6730, 10758, 5456, 4456, 296, 256, 29477, 484, 5291, 2517, 4178, 269, 3405, 714, 600, 990, 773, 2593, 29477, 484, 6145, 3057, 21289, 593, 9365, 256, 29477, 484, 4179, 2517, 4178, 269, 2183, 1504, 2593, 9706, 1137, 270, 11321, 21289, 270, 276, 3066, 278, 8618, 4375, 274, 4281, 272, 27898, 29477, 484, 3057, 21289, 568, 513, 16168, 2110, 476, 274, 323, 19347, 4670, 594, 2813, 1394, 538, 476, 1220, 279, 585, 519, 10790, 540, 1323, 11582, 1576, 594, 3576, 538, 519, 14318, 1153, 540, 519, 2160, 540, 5303, 17638, 269, 2991, 513, 1032, 540, 1818, 621, 781, 2196, 538, 519, 13037, 11387, 594, 723, 4956, 547, 2022, 621, 593, 11060, 585, 4896, 547, 1294, 269, 6884, 922, 2182, 547, 1847, 513, 29134, 1810, 4486, 855, 513, 3787, 540, 19967, 2575, 1175, 1223, 798, 519, 8945, 269, 6034, 539, 18025, 22004, 270, 2304, 13846, 543, 3798, 1243, 676, 4790, 14932, 918, 31051, 529, 8535, 834, 313, 528, 9346, 781, 19933, 257, 676, 631, 1731, 529, 23323, 528, 752, 529, 2271, 549, 2575, 834, 7069, 330, 517, 657, 257, 676, 8355, 23340, 14675, 676, 22819, 3240, 18708, 267, 8125, 523, 857, 334, 12229, 281, 4201, 3941, 330, 15609, 476, 279, 269, 276, 267, 23489, 2991, 12186, 267, 23489, 2776, 14741, 699, 267, 23489, 26598, 269, 32217, 2752, 9169, 6730, 23414, 8104, 25712, 3582, 281, 9625, 275, 628, 18603, 1323, 574, 325, 652, 476, 1220, 280, 269, 12736, 1676, 540, 476, 274, 6113, 1747, 1299, 10748, 1466, 13815, 269, 9625, 27845, 748, 21542, 4139, 17912, 16635, 476, 1220, 280, 269, 12736, 1676, 7454, 1323, 13846, 17912, 1299, 7454, 1323, 11582, 10748, 1466, 13815, 269, 9625, 26780, 5259, 17912, 16635, 476, 1220, 280, 269, 12736, 1676, 8940, 269, 6665, 3218, 14893, 13815, 269, 9625, 301, 1157, 601, 1712, 517, 1323, 11582, 16635, 476, 1220, 280, 269, 24722, 19139, 269, 9625, 5522, 520, 845, 320, 11473, 280, 281, 808, 1722, 7981, 631, 1549, 269, 28414, 781, 2985, 281, 5291, 2517, 4178, 269, 3405, 714, 600, 990, 773, 2593, 10615, 781, 2985, 281, 5291, 2517, 4178, 269, 534, 11582, 5503, 2593, 16593, 596, 899, 621, 256, 20231, 681, 26996, 4811, 19419, 27263, 3633, 256, 744, 8738, 549, 1855, 574, 657, 334, 630, 309, 6403, 1372, 334, 1621, 571, 9809, 5964, 264, 21844, 367, 510, 424, 356, 495, 14091, 489, 373, 423, 480, 502, 422, 371, 478, 28859, 350, 377, 18713, 374, 7511, 421, 358, 368, 24291, 404, 511, 14534, 8294, 14507, 24291, 28257, 14180, 18716, 21333, 3057, 21289, 3541, 588, 23152, 5142, 3832, 661, 1088, 8342, 3214, 3381, 269, 5753, 7260, 454, 21366, 281, 476, 3707, 275, 4343, 6187, 595, 269, 918, 31051, 529, 454, 8248, 653, 320, 28522, 538, 19446, 910, 634, 10326, 5600, 910, 32172, 18028, 480, 2633, 355, 21005, 918, 1695, 8643, 5984, 910, 19446, 14295, 9398, 585, 8866, 29477, 483, 4427, 18285, 281, 5291, 2517, 4226, 269, 569, 270, 8248, 653, 320, 295, 785, 328, 29477, 483, 589, 777, 632, 16223, 986, 515, 688, 328, 3212, 653, 320, 28522, 25697, 4013, 8756, 269, 3212, 653, 320, 556, 6255, 328, 688, 328, 3284, 928, 544, 16244, 267, 533, 28385, 28050, 669, 1774, 536, 327, 2967, 6723, 1183, 1094, 987, 269, 8080, 547, 519, 24722, 3212, 653, 320, 28522, 8756, 543, 519, 1753, 540, 3212, 653, 320, 593, 13334, 256, 1284, 723, 2813, 513, 1158, 540, 3212, 653, 320, 609, 14501, 543, 735, 559, 725, 547, 1832, 1256, 519, 1034, 6131, 3212, 653, 320, 11655, 6126, 269, 17949, 543, 1810, 1405, 7340, 547, 24049, 269, 29477, 484, 6145, 3212, 653, 320, 28522, 593, 9365, 281, 5291, 2517, 4226, 269, 569, 270, 8248, 653, 320, 303, 580, 293, 289, 29477, 484, 16731, 938, 4013, 3896, 281, 10674, 2517, 4226, 269, 569, 270, 8248, 653, 320, 303, 580, 2171, 2125, 924, 29477, 484, 7427, 3212, 653, 320, 593, 12108, 281, 5291, 2517, 4226, 269, 569, 270, 8248, 653, 320, 303, 580, 23562, 7867, 623, 7968, 5183, 623, 5456, 9736, 589, 4306, 4041, 312, 22601, 298, 2207, 21096, 9654, 2464, 700, 31813, 270, 7728, 12224, 288, 2562, 16774, 21450, 5177, 700, 31813, 476, 1220, 274, 269, 3212, 653, 320, 28522, 2813, 676, 4460, 22823, 543, 3026, 6807, 8330, 2917, 269, 1948, 8248, 653, 777, 580, 2633, 373, 18028, 480, 2633, 355, 21005, 1948, 8248, 653, 777, 580, 295, 785, 328, 1948, 295, 785, 545, 691, 9398, 454, 21366, 281, 476, 278, 1321, 30663, 275, 3212, 653, 320, 28522, 19446, 454, 258, 2304, 24650, 21652, 1740, 1948, 293, 21209, 9209, 309, 1122, 564, 1963, 9209, 1948, 292, 553, 1176, 25440, 4415, 5141, 599, 19743, 14886, 267, 596, 786, 1451, 875, 547, 4019, 1114, 1826, 540, 6272, 883, 29641, 543, 29759, 269, 1411, 666, 4019, 713, 1826, 540, 29759, 543, 29641, 26002, 585, 7305, 5463, 2610, 267, 9549, 5253, 5463, 2610, 543, 3427, 5741, 269, 901, 1826, 540, 7044, 786, 2087, 707, 27065, 543, 11310, 269, 901, 568, 519, 3203, 540, 17164, 762, 543, 29759, 2961, 1324, 269, 1280, 10036, 1148, 1374, 269, 7490, 3643, 11197, 1500, 689, 22110, 2433, 4179, 2517, 344, 719, 340, 269, 2041, 270, 4353, 342, 278, 322, 326, 325, 297, 327, 20067, 4414, 14986, 2961, 1324, 2433, 4179, 2517, 344, 719, 340, 269, 2041, 10768, 4135, 294, 332, 23682, 6434, 7246, 2961, 8527, 8768, 2433, 4179, 2517, 344, 719, 340, 269, 2041, 24474, 7876, 297, 327, 10436, 21203, 752, 7490, 4427, 18285, 713, 19305, 547, 13773, 769, 25291, 609, 2974, 269, 4534, 8729, 1411, 1924, 13518, 1280, 2659, 8081, 269, 4534, 1403, 1022, 14511, 13875, 547, 1496, 16942, 6870, 2639, 21366, 281, 476, 15433, 9262, 275, 1323, 25975, 781, 7435, 1740, 454, 14399, 616, 938, 1769, 256, 8752, 543, 513, 3787, 540, 13542, 269, 2311, 1101, 267, 6379, 269, 594, 7058, 267, 1004, 1589, 267, 621, 779, 519, 942, 540, 7772, 269, 4270, 267, 1631, 595, 5964, 6487, 267, 1018, 621, 779, 585, 1483, 269, 9282, 972, 616, 930, 5418, 9778, 585, 2021, 2523, 952, 1352, 814, 1134, 15515, 6409, 539, 9393, 476, 876, 281, 4962, 3689, 10432, 476, 6349, 281, 5379, 5822, 10432, 476, 4962, 281, 5881, 12059, 10432, 476, 6187, 281, 736, 19549, 10432, 476, 5881, 281, 5379, 25004, 10432, 476, 5400, 281, 4649, 12844, 639, 476, 6021, 281, 3451, 1323, 12830, 17217, 8342, 5500, 27977, 585, 1453, 8342, 5500, 12292, 14295, 9398, 27977, 585, 1453, 8342, 5500, 27977, 21250, 656, 9462, 496, 500, 6930, 496, 500, 303, 6369, 312, 299, 8780, 6930, 496, 500, 6930, 496, 500, 10323, 3008, 2177, 476, 272, 4179, 2517, 4226, 269, 569, 270, 273, 302, 277, 299, 336, 313, 290, 8535, 676, 20615, 2438, 14675, 281, 4179, 2517, 4178, 269, 788, 573, 12515, 895, 2593, 13045, 21366, 281, 476, 4391, 278, 279, 1839, 1626, 2997, 665, 5964, 21676, 921, 594, 15434, 5414, 22383, 454, 1607, 28094, 2882, 930, 540, 519, 782, 6066, 1655, 5929, 645, 13903, 645, 22324, 14295, 9398, 689, 519, 13642, 7232, 571, 269, 2353, 14501, 723, 1044, 1121, 770, 1229, 538, 18074, 476, 10482, 271, 267, 519, 2053, 543, 3877, 616, 7396, 2630, 269, 476, 876, 281, 1015, 634, 654, 871, 344, 654, 629, 4226, 645, 13903, 645, 22324, 630, 3707, 273, 264, 630, 7230, 770, 1229, 18074, 476, 10482, 271, 335, 264, 476, 278, 281, 3953, 8865, 540, 519, 31932, 670, 732, 630, 289, 13903, 645, 22324, 264, 630, 3707, 273, 264, 630, 7230, 770, 1229, 264, 630, 8461, 476, 10482, 271, 335, 264, 476, 1428, 281, 4510, 634, 654, 629, 4226, 5808, 595, 877, 547, 2672, 3899, 630, 289, 13903, 645, 22324, 264, 630, 3707, 273, 264, 630, 7230, 770, 1229, 264, 630, 8461, 476, 10482, 271, 335, 264, 476, 2537, 281, 7906, 12096, 532, 670, 732, 630, 289, 13903, 645, 22324, 264, 630, 3707, 274, 264, 630, 7230, 770, 1229, 264, 630, 8461, 476, 10482, 271, 335, 264, 476, 3953, 281, 1240, 654, 871, 5942, 654, 629, 4226, 630, 289, 13903, 645, 22324, 264, 630, 3707, 274, 264, 630, 7230, 770, 1229, 264, 630, 8461, 476, 10482, 271, 335, 264, 476, 4375, 281, 876, 589, 12397, 344, 19270, 15300, 630, 289, 13903, 645, 22324, 267, 4432, 1067, 674, 3291, 1299, 623, 1251, 344, 28522, 264, 630, 3707, 274, 264, 630, 7230, 770, 1229, 264, 630, 8461, 476, 10482, 271, 335, 264, 476, 5379, 281, 4649, 18610, 670, 732, 630, 289, 13903, 645, 22324, 264, 630, 3707, 273, 264, 630, 7230, 770, 1229, 264, 630, 8461, 476, 10482, 271, 335, 264, 476, 7918, 281, 1839, 7102, 645, 4637, 4653, 630, 289, 13903, 645, 22324, 267, 623, 1251, 344, 28522, 267, 4432, 1067, 674, 3291, 264, 630, 3707, 273, 264, 630, 7230, 770, 1229, 264, 630, 8461, 476, 10482, 271, 335, 264, 476, 279, 628, 10048, 291, 13748, 2593, 543, 782, 1543, 9736, 476, 1001, 276, 1290, 9037, 300, 311, 20941, 269, 2353, 2924, 11603, 269, 1133, 17769, 946, 568, 19275, 269, 634, 3138, 2292, 26107, 630, 21720, 569, 19451, 607, 10753, 2292, 1677, 976, 264, 543, 8585, 4471, 9253, 3672, 3126, 2934, 3197, 971, 607, 12961, 536, 22324, 267, 546, 3530, 344, 21868, 1299, 20230, 344, 6477, 269, 634, 3138, 2292, 26107, 27977, 267, 9413, 543, 1007, 3138, 2292, 26107, 1397, 723, 1044 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7268, 2765, 346, 272, 2410, 335, 266, 272, 4153, 2431, 264, 9681, 3602, 1269, 335, 259, 568, 519, 25586, 6305, 630, 328, 4318, 269, 1269, 335, 317, 330, 259, 568, 519, 25586, 781, 16748, 264, 543, 1269, 296, 3287, 7751, 296, 3287, 264, 815, 1422, 2765, 3189, 306, 7950, 3287, 20972, 343, 4151, 2765, 3189, 18406, 3287, 20972, 343, 6525, 529, 519, 7039, 3599, 4994, 540, 1535, 269, 476, 273, 6809, 1881, 769, 519, 12854, 12031, 11331, 834, 2704, 326, 3596, 916, 538, 519, 5530, 540, 11638, 704, 2739, 543, 744, 9536, 17828, 10606, 257, 630, 30104, 15062, 539, 1934, 264, 543, 6192, 538, 476, 1220, 274, 267, 30370, 29813, 2993, 28756, 3293, 602, 519, 20800, 737, 593, 519, 25586, 6305, 533, 533, 585, 606, 9642, 3501, 1297, 715, 815, 630, 335, 317, 330, 7565, 332, 317, 273, 264, 533, 317, 330, 7565, 332, 317, 273, 264, 568, 835, 630, 328, 4318, 269, 649, 666, 6749, 737, 1040, 330, 1040, 32114, 29813, 2993, 781, 28756, 675, 568, 3020, 267, 1281, 4896, 917, 952, 972, 2291, 630, 1415, 264, 834, 324, 8997, 257, 2164, 630, 335, 30972, 1250, 946, 540, 519, 2165, 267, 594, 1175, 1223, 711, 1589, 540, 513, 1732, 2262, 264, 538, 519, 3332, 267, 3226, 609, 2463, 547, 1894, 1063, 519, 25586, 6305, 533, 267, 519, 20800, 737, 543, 519, 1297, 1422, 306, 5720, 3189, 293, 2350, 346, 301, 2410, 335, 317, 330, 3686, 286, 1422, 6912, 3189, 2765, 346, 301, 2410, 335, 317, 330, 3686, 286, 594, 723, 267, 865, 2484, 267, 1152, 1044, 2111, 547, 1205, 3180, 540, 14529, 23383, 853, 7568, 328, 781, 2376, 11331, 834, 302, 9536, 17828, 10606, 281, 589, 6555, 529, 528, 13565, 547, 519, 25586, 12664, 338, 16748, 2668, 769, 1880, 267, 4063, 602, 29813, 2993, 781, 28756, 675, 10522, 519, 1739, 1894, 281, 594, 9638, 317, 330, 14638, 296, 9638, 317, 330, 264, 815, 594, 9638, 264, 815, 1422, 293, 2350, 22669, 266, 272, 2410, 335, 348, 594, 9852, 317, 273, 264, 535, 2350, 22669, 266, 272, 2410, 335, 348, 296, 9852, 317, 273, 264, 815, 1422, 293, 2350, 346, 273, 2410, 296, 9638, 14587, 535, 2350, 346, 273, 2410, 296, 9638, 14587, 815, 1422, 293, 2350, 346, 273, 335, 2410, 335, 535, 2350, 346, 273, 335, 2410, 335, 1341, 476, 272, 348, 272, 6525, 6518, 267, 538, 2490, 267, 3947, 519, 630, 13700, 20190, 264, 15821, 3961, 281, 1422, 293, 2350, 346, 272, 2410, 335, 6525, 315, 2765, 346, 272, 2410, 335, 348, 815, 1422, 293, 2350, 346, 272, 2410, 335, 266, 272, 348, 535, 2350, 346, 272, 2410, 335, 266, 272, 348, 1341, 22570, 293, 2350, 346, 272, 2410, 335, 16585, 7268, 293, 2350, 346, 272, 2410, 335, 266, 272, 348, 9385, 2765, 346, 272, 2410, 335, 4153, 3847, 7268, 2765, 346, 272, 2410, 335, 266, 272, 4153, 2431, 14638, 3602, 533, 259, 335, 259, 529, 519, 25586, 6305, 630, 328, 4318, 269, 533, 317, 330, 259, 335, 317, 330, 259, 529, 519, 25586, 781, 16748, 264, 543, 594, 3287, 7751, 296, 3287, 264, 815, 1422, 293, 2350, 346, 306, 7950, 3287, 20972, 343, 348, 535, 2350, 3189, 306, 7950, 3287, 20972, 343, 4151, 529, 519, 7039, 3599, 4994, 540, 1535, 269, 259, 343, 15478, 780, 272, 0, 258, 3004, 19649, 1756, 4341, 692, 263, 16446, 20526, 689, 3004, 19649, 18042, 4341, 994, 29309, 532, 3239, 454, 307, 7275, 345, 18042, 318, 22364, 318, 650, 755, 1674, 26666, 454, 763, 1599, 535, 3287, 264, 630, 514, 4544, 264, 568, 4114, 13846, 676, 513, 5276, 1599, 630, 514, 2699, 6393, 1103, 6128, 267, 519, 25671, 1756, 4341, 630, 1492, 3703, 2165, 264, 610, 25671, 18042, 4341, 630, 1492, 1977, 2165, 264, 568, 513, 1259, 547, 5111, 5173, 519, 17386, 7533, 692, 314, 924, 343, 316, 1422, 842, 3709, 320, 8703, 321, 348, 535, 3287, 264, 11459, 16804, 924, 343, 6540, 763, 25671, 1756, 4341, 1568, 676, 4114, 26305, 519, 3148, 896, 519, 3113, 540, 519, 1599, 1496, 924, 343, 316, 325, 3287, 25011, 924, 343, 316, 676, 513, 25671, 1756, 543, 12719, 922, 1858, 269, 898, 5205, 602, 692, 314, 924, 343, 316, 1422, 842, 3709, 320, 8703, 321, 348, 535, 3287, 264, 15848, 1422, 13627, 630, 321, 8584, 9385, 2765, 346, 325, 5416, 264, 1341, 535, 6357, 20972, 273, 348, 16804, 924, 343, 6540, 2414, 5173, 713, 7533, 811, 8308, 267, 835, 1101, 10943, 1080, 519, 8884, 540, 5610, 1496, 924, 343, 6012, 320, 267, 536, 6012, 924, 343, 316, 883, 562, 4130, 1016, 5793, 10094, 267, 543, 1287, 10039, 519, 25671, 1756, 4341, 593, 1142, 540, 873, 269, 2290, 3489, 338, 519, 12432, 25671, 1756, 4341, 1384, 314, 924, 343, 316, 315, 842, 19963, 317, 321, 535, 3287, 9385, 267, 11459, 1422, 13627, 1422, 2765, 15830, 8584, 2410, 333, 348, 1422, 3847, 263, 2715, 325, 5416, 264, 1341, 535, 6357, 264, 1422, 1478, 476, 273, 348, 1341, 1422, 8999, 3709, 330, 284, 272, 8703, 333, 268, 272, 348, 535, 1422, 3847, 263, 513, 266, 330, 1422, 2765, 15830, 8584, 2410, 333, 348, 1422, 2431, 264, 1422, 2431, 1040, 314, 924, 343, 6540, 1607, 666, 4244, 569, 581, 2854, 607, 1384, 314, 924, 343, 316, 315, 842, 19963, 317, 321, 535, 3287, 9385, 267, 11459, 1422, 13627, 1422, 2765, 15830, 8584, 2410, 273, 333, 348, 1422, 3847, 6600, 3287, 318, 271, 264, 1341, 535, 3287, 5332, 264, 1341, 476, 273, 325, 3287, 318, 272, 264, 1341, 476, 273, 325, 3287, 318, 273, 264, 10954, 25854, 266, 273, 325, 3287, 3709, 333, 268, 272, 16585, 1422, 2431, 1040, 314, 924, 343, 6540, 763, 25671, 1756, 4341, 568, 835, 540, 513, 1920, 540, 12596, 585, 10230, 5610, 1572, 13053, 4211, 4925, 12596, 269, 3244, 12121, 781, 4341, 568, 1776, 267, 1419, 811, 4977, 267, 4759, 540, 519, 1482, 1920, 269, 3244, 12121, 781, 4341, 543, 824, 899, 2409, 666, 581, 4397, 547, 2087, 593, 519, 25671, 1756, 4341, 585, 3252, 799, 616, 7466, 11179, 1114, 4192, 282, 2705, 585, 13193, 326, 615, 3252, 519, 25671, 1756, 4341, 568, 2693, 547, 6961, 30074, 269, 5047, 267, 519, 25671, 1756, 4341, 11148, 547, 1831, 5393, 4977, 950, 13350, 3252, 616, 7471, 936, 741, 5712, 267, 513, 1249, 1655, 6956, 538, 4276, 609, 519, 25586, 5336, 659, 331, 4768, 514, 14805, 566, 4542, 780, 1012, 22108, 692, 1892, 3203, 543, 27639, 454, 1892, 18831, 540, 519, 2622, 1109, 263, 10674, 2517, 4178, 28482, 611, 655, 1157, 1749, 2593, 270, 1890, 743, 31638, 27651, 21703, 14727, 870, 1845, 994, 1892, 6611, 543, 18395, 0, 9336, 1843, 538, 938, 1158, 814, 2339, 538, 621, 543, 3217, 2230, 269, 27014, 616, 2901, 17571, 267, 15559, 267, 610, 9362, 269, 1284, 1289, 519, 2078, 1063, 606, 3615, 2527, 543, 4320, 267, 5860, 269, 25670, 568, 519, 2179, 540, 513, 2527, 5258, 676, 519, 2179, 4320, 269, 769, 824, 1913, 267, 875, 9395, 519, 2339, 568, 16081, 4364, 883, 513, 1978, 2230, 269, 898, 3217, 476, 273, 4773, 540, 3937, 547, 2268, 519, 5860, 540, 606, 1843, 269, 1403, 519, 1843, 568, 513, 2834, 1843, 267, 2495, 621, 814, 476, 274, 6366, 2786, 5011, 267, 596, 1131, 946, 513, 17784, 11237, 3666, 630, 29173, 264, 543, 513, 14610, 269, 1403, 519, 1843, 568, 606, 12150, 1843, 267, 2495, 621, 814, 795, 698, 3022, 610, 5186, 12097, 5011, 267, 596, 1131, 946, 513, 17784, 11237, 3666, 630, 29173, 264, 543, 513, 21783, 12718, 780, 763, 4542, 585, 5860, 568, 2854, 667, 284, 332, 23218, 269, 634, 4559, 585, 5860, 616, 10101, 8276, 650, 559, 3438, 630, 326, 8276, 299, 264, 610, 10101, 270, 1417, 12281, 7750, 539, 630, 326, 30763, 274, 6393, 23804, 519, 5860, 540, 606, 1843, 5673, 593, 1018, 519, 7516, 616, 269, 1403, 519, 1843, 814, 782, 6366, 267, 2786, 5011, 267, 621, 568, 513, 2834, 1843, 630, 22366, 547, 9273, 1040, 1323, 1383, 540, 713, 568, 513, 11308, 3625, 269, 769, 1931, 547, 1265, 519, 5860, 540, 513, 11308, 3625, 267, 649, 1131, 946, 513, 17784, 11237, 3666, 610, 4336, 543, 513, 14610, 269, 3689, 267, 596, 1131, 9260, 519, 3625, 779, 2527, 676, 1210, 513, 17784, 11237, 3666, 269, 634, 2527, 568, 476, 17168, 10101, 269, 8921, 649, 2268, 519, 5011, 1210, 513, 11973, 14610, 269, 634, 4542, 585, 4466, 4320, 540, 513, 4396, 1843, 568, 3259, 1535, 8700, 1535, 4463, 610, 561, 1535, 530, 1535, 554, 563, 21920, 815, 476, 1556, 4699, 454, 310, 5954, 815, 476, 280, 9492, 454, 3891, 697, 815, 476, 275, 9492, 454, 1556, 9492, 1535, 476, 280, 9492, 1535, 476, 275, 9492, 815, 476, 31256, 9492, 274, 780, 3086, 519, 5860, 666, 581, 7229, 1210, 891, 7403, 563, 291, 815, 476, 17168, 326, 270, 31256, 9492, 274, 22217, 1881, 667, 815, 1547, 10037, 326, 30763, 274, 1403, 519, 1843, 814, 795, 698, 3022, 8728, 610, 568, 513, 3337, 824, 982, 513, 13306, 267, 1287, 621, 568, 606, 12150, 1843, 269, 1323, 1383, 540, 713, 568, 513, 4224, 269, 769, 1931, 547, 1265, 519, 5860, 540, 513, 4224, 267, 649, 1131, 946, 513, 17784, 11237, 3666, 610, 4336, 543, 513, 21783, 12718, 269, 3689, 267, 649, 1131, 9260, 519, 4224, 779, 2527, 676, 1210, 513, 17784, 11237, 3666, 269, 634, 2527, 568, 476, 2412, 10101, 269, 8921, 649, 1590, 946, 519, 21783, 12718, 547, 1265, 519, 4320, 676, 8420, 5217, 519, 1216, 269, 634, 1101, 12718, 2982, 519, 1216, 1377, 1354, 519, 4224, 729, 12628, 538, 267, 799, 568, 476, 2004, 20853, 269, 2991, 519, 4224, 729, 12628, 538, 267, 519, 1377, 9782, 547, 476, 6858, 332, 299, 269, 1284, 1265, 519, 3017, 676, 18946, 519, 3312, 1216, 1377, 689, 519, 1007, 1216, 1377, 563, 6858, 332, 299, 910, 476, 2004, 332, 299, 815, 476, 1704, 332, 299, 780, 3086, 519, 5860, 666, 581, 7229, 1210, 891, 7403, 563, 291, 815, 476, 273, 269, 275, 326, 8276, 299, 454, 332, 815, 476, 2412, 326, 454, 341, 815, 476, 1704, 332, 299, 0, 1012, 20145, 476, 279, 628, 9990, 692, 259, 343, 6025, 6661, 271, 269, 3374, 6523, 263, 273, 25490, 346, 276, 15396, 272, 7751, 454, 259, 330, 263, 271, 269, 1839, 6661, 1839, 259, 1269, 330, 284, 1911, 259, 1269, 276, 337, 317, 273, 266, 1911, 284, 271, 259, 1269, 337, 284, 273, 25490, 346, 276, 4151, 1269, 343, 6025, 6661, 322, 3709, 272, 348, 6523, 263, 273, 25490, 346, 276, 348, 339, 11924, 322, 3709, 273, 348, 7562, 263, 273, 25490, 346, 276, 348, 7751, 1269, 343, 263, 271, 6661, 271, 269, 3374, 259, 1269, 322, 3709, 272, 13157, 271, 269, 3374, 259, 1269, 343, 21948, 339, 6661, 268, 273, 25490, 346, 276, 12917, 271, 269, 3374, 264, 7562, 263, 273, 25490, 346, 276, 348, 339, 11924, 273, 25490, 346, 276, 348, 322, 3709, 273, 348, 6523, 263, 273, 25490, 346, 276, 348, 339, 7751, 1269, 343, 21948, 271, 6661, 271, 259, 1269, 322, 3709, 273, 13157, 271, 259, 1269, 343, 6025, 6661, 271, 269, 3374, 6523, 263, 273, 25490, 346, 276, 15396, 272, 7751 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31861, 2115, 8404, 547, 3635, 609, 11835, 601, 538, 519, 6640, 267, 1247, 11835, 601, 568, 6923, 17615, 269, 0, 27609, 532, 19997, 281, 589, 4807, 568, 7555, 538, 519, 10051, 269, 2701, 568, 6158, 883, 519, 8254, 269, 2701, 6585, 1896, 26633, 540, 5820, 269, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 1434, 2025, 1922, 5831, 539, 5556, 565, 3150, 21312, 2780, 834, 536, 834, 2025, 1922, 5831, 539, 5556, 565, 3150, 1434, 21312, 2780, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 2657, 281, 1496, 3650, 518, 316, 1215, 547, 917, 952, 596, 723, 838, 1180, 2643, 2670, 1496, 27583, 316, 6733, 585, 8405, 543, 1394, 1928, 269, 1496, 21163, 316, 1975, 1180, 2643, 2670, 1419, 814, 1100, 2589, 269, 1717, 267, 952, 621, 1281, 3132, 2589, 267, 1928, 2059, 519, 8405, 543, 12636, 568, 835, 540, 519, 1034, 1455, 269, 3097, 288, 269, 1496, 11357, 25074, 316, 5901, 707, 8405, 543, 1394, 2786, 282, 952, 707, 8405, 568, 15319, 621, 1797, 602, 596, 723, 838, 1180, 2643, 2670, 269, 1403, 621, 568, 4330, 607, 1373, 15319, 543, 22224, 267, 1287, 596, 949, 723, 838, 1180, 2643, 2670, 563, 289, 269, 634, 1928, 949, 1152, 2408, 593, 519, 17525, 610, 8930, 3481, 2127, 593, 519, 2062, 15767, 610, 9944, 519, 23969, 269, 1496, 11357, 25074, 316, 3026, 1188, 543, 1394, 1928, 2882, 9636, 950, 596, 1118, 513, 31329, 543, 707, 11263, 13029, 563, 290, 269, 634, 1928, 1058, 581, 7646, 267, 2356, 711, 30898, 792, 762, 269, 1496, 11357, 25074, 316, 1677, 3713, 952, 596, 723, 838, 1180, 2643, 2670, 267, 855, 798, 711, 581, 19035, 540, 621, 267, 1413, 856, 585, 4745, 2152, 610, 824, 9636, 563, 291, 269, 901, 1928, 568, 519, 1267, 540, 519, 11983, 25923, 13204, 7992, 543, 2870, 11508, 1063, 519, 9451, 13887, 7633, 543, 5924, 2604, 593, 519, 13285, 269, 634, 1928, 538, 707, 1394, 610, 8405, 1928, 949, 849, 2234, 5573, 547, 707, 17873, 563, 12585, 281, 667, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 17186, 532, 10425, 281, 589, 812, 568, 2938, 6340, 547, 519, 8254, 3297, 513, 3349, 609, 1585, 5820, 543, 14296, 9788, 856, 269, 634, 812, 454, 288, 269, 30012, 519, 5820, 883, 513, 4837, 1927, 543, 23238, 513, 18654, 883, 519, 4837, 563, 289, 269, 1287, 25361, 513, 12826, 609, 519, 5820, 543, 5956, 1818, 513, 26889, 563, 290, 269, 30012, 5820, 1472, 883, 513, 1804, 12826, 543, 1178, 1424, 519, 12826, 609, 1010, 4527, 563, 291, 269, 4025, 522, 1114, 15559, 883, 513, 12826, 543, 30012, 873, 1927, 563, 12585, 281, 589, 0, 9223, 281, 634, 4279, 8092, 27538, 540, 476, 6642, 280, 3576, 1747, 538, 799, 1533, 540, 519, 7330, 888, 12585, 281, 476, 5379, 628, 1533, 0, 9223, 281, 6904, 10381, 568, 1634, 607, 519, 3751, 540, 2296, 29380, 525, 563, 12585, 281, 588, 559, 2023, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 634, 10824, 2877, 547, 581, 6740, 538, 741, 1697, 1747, 267, 799, 729, 1141, 888, 288, 269, 476, 4401, 532, 4604, 454, 289, 269, 476, 13962, 454, 290, 269, 476, 3349, 454, 291, 269, 476, 7181, 454, 292, 269, 476, 15808, 454, 12585, 281, 292, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 5253, 543, 9373, 8877, 281, 1496, 3650, 518, 316, 1215, 547, 1118, 513, 5672, 16336, 328, 543, 10381, 16741, 1496, 27583, 316, 4425, 559, 519, 1714, 28647, 269, 1496, 21163, 316, 19130, 1216, 538, 513, 1494, 543, 1747, 621, 593, 513, 23041, 1283, 547, 14974, 269, 4495, 621, 814, 23017, 267, 13248, 519, 1714, 28647, 883, 519, 14495, 1216, 543, 723, 621, 14974, 2394, 2571, 269, 3097, 288, 269, 1496, 11357, 25074, 316, 1411, 798, 711, 723, 547, 14974, 519, 1714, 28647, 547, 1118, 519, 16741, 282, 2705, 267, 1025, 534, 4221, 873, 6770, 856, 519, 26185, 538, 519, 17339, 543, 10607, 519, 4005, 532, 269, 1403, 596, 3434, 519, 1714, 28647, 676, 2933, 267, 596, 786, 991, 547, 2759, 873, 538, 3368, 547, 4688, 4055, 563, 289, 269, 3973, 13248, 538, 519, 6070, 543, 3434, 519, 23969, 2394, 621, 7140, 883, 4396, 1533, 269, 2991, 827, 476, 1428, 3764, 267, 519, 23969, 1058, 2408, 2571, 267, 899, 513, 3443, 322, 820, 563, 290, 269, 4107, 2250, 553, 1491, 827, 476, 1015, 268, 1556, 3764, 547, 581, 2571, 855, 2638, 593, 519, 10189, 8846, 547, 581, 2386, 267, 789, 2356, 2285, 519, 3169, 942, 972, 269, 4495, 519, 1714, 28647, 616, 4628, 23017, 1747, 513, 897, 6387, 538, 519, 16173, 543, 8963, 782, 519, 18437, 563, 291, 269, 1496, 11357, 25074, 316, 6744, 519, 23969, 1419, 547, 1118, 2386, 621, 568, 6109, 269, 623, 3183, 513, 23643, 538, 519, 23969, 1522, 1711, 561, 7927, 563, 12585, 281, 595, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 5835, 19384, 6928, 834, 536, 834, 19384, 5835, 6928, 834, 15017, 288, 281, 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 ]
[ 754, 22751, 543, 590, 1117, 3429, 454, 20112, 754, 22751, 798, 8774, 267, 855, 789, 1810, 1406, 8774, 607, 1454, 607, 824, 5243, 602, 723, 9663, 2864, 982, 4552, 269, 7108, 754, 22751, 723, 4552, 2864, 982, 2757, 2915, 9663, 267, 543, 2687, 547, 513, 2915, 19081, 518, 945, 814, 811, 982, 476, 274, 1296, 540, 25462, 1995, 789, 616, 711, 5595, 18396, 730, 267, 865, 789, 1810, 1406, 6336, 741, 5162, 10359, 950, 519, 4365, 4991, 15911, 563, 4913, 267, 952, 707, 7108, 754, 22259, 814, 5347, 4552, 789, 786, 8774, 811, 538, 519, 4832, 982, 1022, 824, 4005, 1317, 741, 4552, 568, 1360, 2147, 547, 513, 13642, 4825, 686, 1197, 779, 267, 543, 13642, 4825, 4471, 951, 8774, 1419, 563, 7312, 7108, 754, 22259, 786, 8774, 513, 2370, 811, 982, 3339, 950, 5614, 7140, 547, 4832, 543, 519, 4365, 4991, 15911, 267, 855, 596, 2693, 4465, 1406, 5469, 519, 3017, 1317, 621, 786, 581, 13581, 269, 898, 4523, 1317, 540, 519, 2242, 538, 519, 4365, 538, 2837, 267, 543, 519, 4552, 602, 789, 6336, 786, 4166, 1332, 1394, 563, 20112, 754, 22751, 609, 1225, 569, 9663, 10774, 1515, 8774, 621, 538, 513, 2147, 1259, 547, 3425, 281, 7444, 936, 942, 269, 1411, 949, 1265, 707, 4552, 7258, 707, 7108, 754, 22259, 779, 4552, 593, 707, 4172, 577, 267, 4352, 519, 4552, 568, 267, 543, 786, 1413, 267, 1360, 1114, 563, 20112, 754, 22751, 616, 1419, 3834, 334, 718, 1120, 21329, 267, 855, 789, 616, 711, 1100, 1606, 1117, 5243, 269, 1879, 513, 2915, 568, 3834, 334, 718, 1120, 21329, 621, 1797, 602, 789, 616, 811, 15095, 609, 1004, 945, 723, 11959, 547, 546, 6387, 267, 7452, 267, 543, 9663, 1317, 789, 1810, 1406, 723, 513, 2603, 540, 546, 6387, 543, 789, 1810, 1406, 8774, 513, 2603, 540, 9663, 269, 630, 13126, 994, 7212, 7108, 754, 22751, 1810, 1406, 8774, 1454, 543, 786, 8774, 5594, 811, 982, 8912, 950, 519, 4365, 2242, 267, 972, 616, 1919, 538, 513, 7108, 754, 22259, 779, 1272, 602, 666, 2014, 873, 547, 8774, 811, 1419, 982, 3339, 563, 27246, 540, 21418, 7108, 754, 22259, 590, 1117, 3429, 454, 763, 1739, 2188, 666, 1291, 547, 707, 7108, 754, 22259, 17766, 811, 1419, 982, 789, 7363, 798, 563, 29590, 666, 2014, 707, 7108, 754, 22259, 547, 6336, 811, 4552, 982, 3339, 269, 2334, 568, 1175, 875, 741, 1560, 23465, 267, 543, 621, 786, 2693, 3247, 4166, 269, 8347, 547, 4894, 1018, 568, 4929, 707, 7108, 754, 22259, 11991, 2566, 607, 4166, 607, 2009, 563, 5629, 741, 1062, 21560, 1586, 267, 789, 786, 3247, 17766, 607, 1454, 269, 1403, 513, 1007, 4620, 568, 4929, 707, 7108, 754, 22259, 547, 581, 14129, 267, 7227, 585, 513, 1247, 2394, 789, 1205, 1031, 547, 519, 1007, 3662, 267, 543, 789, 786, 3247, 17766, 607, 1454, 563, 268, 14627, 550, 24872, 532, 454, 5472, 25489, 666, 2014, 707, 7108, 754, 22259, 547, 8774, 811, 982, 8912, 1317, 11959, 3006, 1860, 519, 2960, 267, 543, 952, 519, 2960, 568, 11214, 19847, 707, 7108, 754, 22259, 786, 6336, 811, 4552, 982, 3339, 269, 10576, 519, 6784, 523, 543, 4894, 621, 689, 707, 2915, 779, 1604, 269, 2991, 741, 2960, 973, 13569, 267, 789, 786, 3247, 17766, 865, 1454, 563, 7312, 7108, 754, 22259, 779, 6484, 666, 3310, 875, 1454, 621, 24259, 269, 1403, 789, 5749, 1406, 3478, 2614, 5567, 267, 789, 786, 8774, 811, 1317, 741, 1560, 3085, 1406, 1616, 547, 2322, 1648, 883, 5329, 519, 4552, 9800, 543, 2635, 267, 865, 621, 4991, 7759, 540, 621, 563, 2252, 707, 7108, 754, 22259, 568, 9561, 7372, 5666, 540, 741, 4552, 267, 1491, 873, 547, 519, 17022, 543, 1294, 952, 789, 616, 3478, 2614, 5567, 269, 1403, 789, 5749, 1406, 267, 4657, 741, 2732, 865, 602, 789, 616, 786, 3533, 2061, 2104, 4552, 2530, 563, 2252, 707, 7108, 754, 22259, 568, 1373, 10627, 1117, 1932, 4749, 789, 786, 8774, 811, 982, 789, 1058, 269, 1403, 513, 7108, 754, 22259, 568, 10627, 1117, 1932, 1419, 741, 2960, 786, 3819, 856, 543, 789, 666, 1205, 21399, 269, 1879, 741, 2960, 1743, 625, 856, 267, 741, 4552, 3587, 811, 17866, 543, 789, 6336, 811, 540, 621, 982, 3339, 269, 8307, 536, 7752, 707, 7108, 754, 22259, 827, 2899, 513, 3018, 563, 763, 1072, 540, 707, 7108, 754, 22259, 786, 3310, 875, 1454, 4552, 789, 8774, 269, 1403, 789, 1020, 606, 4576, 610, 1205, 7210, 267, 741, 1560, 786, 2322, 3388, 621, 666, 883, 1818, 707, 2915, 2635, 1586, 543, 519, 4552, 786, 581, 20495, 563, 2026, 4166, 607, 707, 7108, 754, 22259, 779, 1072, 10607, 267, 789, 786, 8774, 1447, 269, 2368, 6527, 666, 849, 2014, 4430, 17766, 563, 294, 3336, 532, 2659, 7108, 754, 22259, 454, 2252, 596, 1616, 547, 2057, 4466, 707, 7108, 754, 22259, 779, 4552, 538, 707, 1753, 950, 519, 4365, 3587, 15911, 2676, 20112, 754, 22751, 991, 547, 581, 19081, 539, 1169, 476, 277, 268, 279, 4374, 269, 1411, 949, 1616, 547, 2285, 707, 7108, 754, 22259, 513, 10156, 688, 1009, 1803, 982, 3339, 538, 519, 4832, 865, 789, 666, 1832, 3579, 950, 519, 5210, 4473, 607, 741, 4552, 786, 1832, 3002, 538, 267, 2523, 952, 621, 568, 2731, 1225, 569, 269, 901, 3884, 1406, 2556, 267, 855, 596, 949, 1616, 547, 4470, 593, 1141, 596, 2661, 543, 875, 3636, 621, 4991, 538, 519, 4832, 4005, 563, 2252, 707, 7108, 754, 22259, 568, 17766, 23494, 543, 596, 723, 711, 1044, 2111, 547, 2697, 519, 2014, 540, 621, 267, 1491, 707, 2915, 547, 519, 16943, 269, 1358, 786, 2693, 581, 2111, 547, 2697, 1018, 568, 4929, 707, 7108, 754, 22259, 547, 8774, 865, 1454, 543, 2995, 596, 875, 547, 2569, 519, 2179, 540, 17766, 602, 568, 9648, 563, 14454, 267, 7108, 754, 22751, 1810, 1406, 8774, 23494, 811, 950, 519, 4365, 2242, 543, 3587, 15911, 267, 855, 789, 786, 6336, 5594, 811, 4552, 1317, 741, 1560, 568, 8600, 585, 519, 15911, 4365, 267, 543, 621, 3085, 1406, 1616, 707, 2915, 547, 936, 17742, 269, 15439, 0, 8923, 2328, 2110, 1557, 585, 661, 21815, 2243, 827, 476, 4335, 2262, 1293, 269, 11289, 596, 2336, 268, 2422, 513, 3044, 1557, 3898, 585, 6114, 547, 782, 2055, 630, 328, 4318, 1421, 606, 4367, 267, 1647, 9433, 543, 3932, 1916, 268, 13786, 525, 1590, 581, 29921, 5595, 17898, 3166, 267, 1210, 513, 3044, 13944, 630, 328, 4318, 1421, 8648, 1715, 4936, 264, 543, 476, 1321, 1448, 1826, 2450, 15030, 867, 1293, 568, 10691, 835, 540, 519, 7355, 602, 568, 1031, 538, 26471, 2798, 547, 1603, 10467, 269, 10925, 2854, 4267, 883, 707, 1378, 1913, 269, 1684, 711, 3274, 2759, 543, 13594, 707, 4267, 689, 519, 5769, 543, 798, 711, 5299, 707, 4267, 689, 519, 1837, 269, 2142, 2386, 547, 3277, 547, 519, 1576, 21038, 585, 811, 3877, 593, 17096, 543, 1697, 11239, 6163, 563, 268, 4208, 1281, 513, 2146, 4431, 9797, 950, 606, 540, 524, 518, 568, 19636, 286, 630, 274, 994, 268, 4208, 798, 930, 1004, 3494, 602, 7496, 1063, 7128, 540, 524, 619, 543, 3979, 4892, 3100, 31837, 25236, 762, 286, 630, 273, 994, 268, 1548, 616, 519, 1883, 3334, 540, 519, 24686, 582, 2920, 602, 723, 6659, 6161, 609, 18371, 2950, 543, 1946, 286, 630, 274, 994, 268, 4208, 568, 621, 1271, 547, 2232, 5208, 2404, 609, 13842, 11486, 5362, 10963, 543, 547, 10646, 873, 689, 824, 10963, 286, 630, 272, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11203, 476, 271, 543, 9642, 18045, 11203, 476, 271, 912, 2018, 2132, 8771, 692, 825, 2132, 6936, 692, 2745, 9638, 531, 318, 11279, 2891, 15869, 8364, 8442, 2020, 3698, 7984, 299, 1518, 19304, 272, 267, 26319, 2187, 825, 1193, 272, 815, 1193, 272, 11468, 6352, 19304, 272, 9984, 263, 6352, 19304, 272, 9984, 26319, 22708, 825, 1193, 272, 284, 1598, 272, 18622, 2897, 2891, 834, 2437, 260, 736, 5602, 825, 2132, 1193, 272, 454, 672, 692, 2745, 263, 21589, 299, 1518, 2891, 16031, 3627, 8055, 825, 14307, 1724, 11723, 3698, 2638, 318, 11279, 16615, 19304, 272, 267, 1193, 273, 2187, 825, 1193, 272, 284, 1598, 272, 31573, 4590, 825, 1193, 273, 284, 1598, 273, 31573, 4590, 825, 952, 7003, 19304, 272, 264, 11203, 7003, 19304, 273, 2187, 1038, 2132, 8771, 454, 825, 3116, 912, 1038, 952, 4433, 9285, 19304, 272, 264, 2652, 15044, 19304, 273, 15892, 2018, 2132, 6936, 28329, 825, 2132, 8771, 28329, 2745, 263, 13765, 318, 11279, 16615, 2891, 15916, 14824, 961, 4141, 295, 339, 257, 4297, 0, 3698, 606, 8183, 318, 13765, 4433, 272, 29679, 273, 2187, 825, 521, 272, 284, 338, 272, 18622, 2897, 2891, 834, 2437, 20257, 12294, 4590, 825, 521, 273, 284, 338, 273, 18622, 2897, 2891, 834, 2437, 20257, 12294, 4590, 8931, 825, 2132, 15044, 4433, 272, 264, 2652, 15044, 4433, 273, 2020, 2745, 263, 534, 8183, 318, 13765, 3488, 305, 1047, 543, 1744, 710, 12887, 4537, 710, 543, 22547, 14609, 344, 10807, 2020, 258, 19686, 476, 273, 454, 3698, 606, 8183, 318, 13765, 4433, 272, 29679, 273, 2187, 825, 521, 272, 284, 338, 272, 18622, 2897, 2891, 834, 2437, 20257, 12294, 4590, 825, 521, 273, 284, 338, 273, 18622, 2897, 2891, 834, 2437, 20257, 12294, 10797, 825, 952, 12759, 4433, 272, 264, 11203, 7003, 4433, 273, 15892, 1038, 2132, 8771, 22562, 825, 1293, 28121, 8679, 825, 585, 4484, 538, 521, 272, 912, 1038, 952, 4484, 538, 1293, 912, 2018, 1293, 314, 12072, 316, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1293, 314, 12072, 316, 815, 476, 272, 28329, 825, 585, 4484, 538, 521, 273, 912, 1038, 952, 4484, 538, 1293, 912, 2018, 1293, 314, 12072, 316, 20699, 476, 272, 454, 1038, 3116, 912, 2018, 1293, 314, 12072, 316, 815, 476, 272, 692, 825, 585, 737, 538, 1293, 912, 1038, 952, 1293, 25208, 316, 11203, 476, 271, 912, 2018, 2132, 8771, 22562, 825, 2132, 6936, 692, 2745, 263, 534, 8183, 318, 13765, 2891, 11990, 5500, 21701, 14824, 310, 1779, 518, 6348, 329, 1506, 257, 4297, 8528, 5814, 4351, 454, 5814, 942, 454, 5814, 11885, 607, 5286, 454, 577, 1513, 815, 834, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 5723, 7374, 9128, 21203, 296, 297, 298, 299, 300, 301, 8008, 304, 305, 4306, 10013, 310, 311, 312, 313, 11277, 27174, 4281, 280, 271, 268, 23785, 256, 287, 258, 259, 260, 317, 261, 265, 4840, 26319, 25507, 9272, 2891, 1432, 1058, 581, 519, 3259, 540, 707, 10957, 286, 315, 333, 27363, 3698, 1780, 318, 2102, 16325, 2187, 825, 10957, 815, 11713, 825, 585, 1775, 538, 2039, 16325, 2187, 1038, 10957, 6910, 263, 12690, 26716, 4069, 263, 577, 1513, 4917, 825, 2132, 5286, 26509, 1664, 9638, 817, 5320, 994, 2745, 9638, 817, 318, 2102, 10857, 2654, 4297, 476, 7531, 3698, 18616, 677, 19906, 2187, 825, 23396, 815, 6936, 454, 825, 1247, 23396, 912, 1038, 23396, 815, 8771, 454, 1038, 585, 1775, 538, 2039, 12759, 19906, 9984, 272, 2187, 2018, 952, 2855, 5157, 316, 3436, 2855, 5157, 266, 272, 14158, 3546, 2855, 5157, 3910, 2855, 5157, 266, 272, 316, 815, 2855, 5157, 266, 272, 3910, 2855, 5157, 2639, 3546, 23396, 815, 6936, 454, 825, 2132, 2855, 454, 333, 25507, 9272, 2891, 11767, 519, 3259, 540, 519, 5044, 281, 27328, 6783, 284, 4289, 9852, 777, 17301, 267, 6358, 2891, 11767, 519, 5044, 547, 581, 15044, 281, 834, 1040, 29328, 14061, 20889, 3890, 4297, 11468, 333, 2639, 2745, 6357, 889, 7632, 677, 263, 6783, 4297, 8528, 3698, 24450, 31374, 19906, 2187, 825, 585, 1775, 538, 2039, 263, 272, 267, 6352, 19906, 4297, 1384, 1038, 1883, 815, 2855, 5157, 316, 8528, 1038, 795, 815, 1775, 910, 476, 272, 454, 1038, 1247, 795, 285, 284, 271, 543, 1883, 2999, 2855, 1496, 329, 14158, 2018, 2855, 14728, 266, 272, 316, 815, 2855, 14728, 2639, 2018, 795, 20699, 476, 272, 454, 1038, 2855, 14728, 266, 272, 316, 815, 1883, 454, 825, 2132, 2855, 3097, 333, 25507, 9272, 2891, 11767, 519, 3259, 540, 519, 5044, 281, 27328, 6783, 284, 4289, 9852, 777, 17301, 267, 6358, 2891, 11767, 519, 5044, 547, 581, 15044, 281, 834, 1040, 29328, 14061, 20889, 3890, 4297, 11468, 333, 2639, 2745, 263, 12133, 542, 31374, 263, 6783, 11723, 3698, 15652, 16325, 267, 869, 267, 14683, 2187, 825, 22141, 815, 1003, 27007, 869, 266, 14683, 264, 12262, 476, 273, 2639, 825, 1775, 815, 1970, 910, 476, 272, 454, 825, 795, 815, 1164, 1341, 476, 272, 692, 825, 1247, 6936, 912, 13872, 1038, 1775, 6834, 476, 272, 454, 1038, 1247, 1003, 5157, 316, 2999, 22141, 912, 2018, 1775, 6834, 476, 272, 28329, 1038, 795, 20699, 476, 272, 454, 1038, 1247, 1003, 14728, 316, 3436, 22141, 912, 2018, 795, 20699, 476, 272, 28329, 1038, 952, 1775, 285, 284, 795, 912, 2018, 2132, 795, 454, 1038, 1003, 5157, 3910, 1003, 14728, 316, 815, 1003, 14728, 3910, 1003, 5157, 6540, 3698, 2656, 5334, 677, 16325, 2187, 825, 1219, 2656, 5334, 677, 273, 263, 19477, 267, 869, 267, 14683, 2187, 1038, 952, 1970, 2999, 1164, 912, 2018, 8237, 16229, 815, 15652, 263, 19477, 267, 1970, 267, 1164, 994, 2018, 2656, 5334, 677, 273, 263, 19477, 267, 869, 267, 20889, 16229, 994, 2018, 2656, 5334, 677, 273, 263, 19477, 267, 20889, 16229, 266, 272, 267, 14683, 994, 825, 2656, 5334, 677, 273, 16325, 267, 271, 267, 6352, 16325, 9984, 272, 994, 825, 2132, 1003, 22562, 333, 25507, 9272, 2891, 11767, 519, 3259, 540, 519, 5044, 281, 27328, 6783, 284, 4289, 9852, 777, 17301, 267, 6358, 2891, 11767, 519, 5044, 547, 581, 15044, 281, 834, 1040, 29328, 14061, 20889, 3890, 4297, 11468, 333, 2639, 2745, 263, 638, 1157, 5334, 677, 263, 6783, 4297, 567, 692, 3698, 5542, 5334, 677, 19906, 2187, 825, 585, 1775, 538, 2039, 12759, 19906, 15892, 1038, 561, 16229, 815, 1775, 454, 1038, 585, 795, 538, 2039, 9217, 266, 272, 267, 6352, 19906, 15892, 2018, 952, 2855, 14728, 316, 2999, 2855, 314, 331, 16229, 14158, 3546, 561, 16229, 815, 795, 454, 1038, 2855, 5157, 3910, 2855, 314, 331, 16229, 316, 815, 2855, 314, 331, 16229, 3910, 2855, 5157, 2639, 825, 2132, 2855, 454, 333, 25507, 9272, 2891, 11767, 519, 3259, 540, 519, 5044, 281, 27328, 6783, 284, 4289, 9852, 777, 17301, 267, 6358, 2891, 11767, 519, 5044, 547, 581, 15044, 281, 834, 1040, 29328, 14061, 20889, 3890, 4297, 11468, 333, 2639, 2745, 263, 572, 3005, 5334, 677, 263, 6783, 4297, 8528, 5035, 26761, 912, 825, 1293, 815, 476, 271, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 720, 267, 2998, 1023, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 720, 815, 2085, 454, 1038, 1582, 269, 2998, 1023, 815, 3853, 454, 1038, 26761, 29644, 6834, 476, 272, 28329, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 9497, 11243, 281, 2715, 9574, 6520, 281, 2715, 9574, 17644, 281, 15079, 2668, 8971, 4311, 20508, 267, 1345, 269, 720, 267, 1345, 269, 2998, 1023, 11723, 343, 815, 26761, 2891, 4537, 643, 600, 2580, 2641, 267, 1911, 994, 344, 815, 26761, 2891, 292, 6577, 2580, 3066, 267, 6344, 994, 2745, 3287, 2437, 315, 333, 2580, 344, 994, 2745, 263, 32156, 29644, 264, 8528, 5035, 26761, 912, 8931, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 720, 267, 15680, 776, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 720, 815, 2085, 454, 1038, 1582, 4732, 531, 776, 815, 14057, 22562, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 9497, 11243, 281, 2715, 9574, 6520, 281, 2715, 9574, 6428, 776, 281, 15079, 2668, 8971, 4311, 20508, 267, 1345, 269, 720, 267, 1345, 4732, 531, 776, 264, 9239, 5035, 1179, 338, 263, 32156, 2567, 1948, 1103, 615, 13330, 22562, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 720, 267, 15680, 776, 267, 19417, 2187, 1038, 2706, 4433, 701, 14369, 267, 1582, 1040, 1029, 8181, 9191, 4067, 267, 720, 267, 15680, 776, 994, 1038, 1582, 269, 19417, 815, 4463, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 840, 815, 2706, 4433, 701, 14369, 267, 1582, 1040, 1029, 1598, 1029, 4590, 1038, 840, 6834, 14307, 27551, 281, 15079, 2668, 8971, 9230, 1345, 269, 19417, 4917, 1038, 2132, 840, 454, 345, 815, 1179, 338, 2891, 4537, 643, 600, 2580, 2641, 267, 1911, 1822, 876, 267, 14444, 994, 2745, 18750, 264, 567, 692, 3698, 12430, 15507, 19906, 267, 25279, 2187, 825, 585, 1775, 538, 2039, 12759, 19906, 15892, 1038, 952, 1605, 2652, 2855, 5157, 14158, 2018, 2132, 1775, 454, 825, 2132, 910, 272, 692, 333, 25507, 9272, 2891, 11767, 519, 3259, 540, 519, 5044, 281, 27328, 320, 284, 4289, 9852, 777, 17301, 267, 6358, 2891, 11767, 519, 2609, 538, 519, 5044, 281, 834, 1040, 29328, 14061, 20889, 3890, 4297, 11468, 333, 2639, 324, 25507, 9272, 2891, 11767, 519, 3693, 547, 581, 22646, 281, 27328, 2745, 2891, 10831, 1336, 693, 5044, 4994, 281, 14307, 30791, 15507, 5416, 267, 324, 264, 9239, 3698, 23030, 15507, 19906, 267, 25279, 2187, 825, 1101, 815, 476, 271, 454, 825, 2063, 815, 7003, 19906, 9984, 272, 454, 825, 4994, 815, 910, 272, 692, 825, 1247, 6600, 1009, 10922, 2063, 264, 543, 630, 8161, 2652, 910, 272, 2187, 1038, 4571, 815, 630, 14140, 266, 18431, 264, 2260, 273, 454, 1038, 952, 2855, 314, 13232, 316, 2652, 1605, 912, 2018, 4994, 815, 4571, 454, 1038, 8640, 1605, 2999, 2855, 314, 13232, 14158, 2018, 2063, 815, 4571, 910, 476, 272, 454, 1038, 3116, 912, 2018, 1101, 815, 4571, 1341, 476, 272, 454, 825, 2132, 4994, 454, 2745, 2891, 763, 1297, 568, 1336, 693, 5044, 4994, 281, 14307, 289, 2435, 15507, 8443, 1015, 267, 736, 267, 1789, 267, 2412, 267, 2004, 3910, 2412, 4297, 8528, 5814, 20313, 454, 5814, 7510, 14808, 2280, 692, 336, 284, 28255, 269, 20075, 826, 4590, 11133, 1499, 17342, 1015, 267, 736, 267, 1789, 267, 2412, 267, 2004, 267, 2568, 267, 3583, 2639, 1721, 1775, 538, 2338, 912, 825, 7117, 269, 1584, 9217, 994, 258, 2060, 5272, 7179, 15048, 513, 1007, 3693, 786, 581, 5697, 1759, 547, 519, 2990, 538, 519, 20313, 563, 258, 293, 9281, 302, 454, 2745, 32429, 10947, 15405, 2745, 32429, 10947, 15405, 2745, 32429, 10947, 15405, 2745, 32429, 10947, 15405, 2745, 32429, 10947, 15405, 2745, 19629, 333, 15419, 258, 299, 9281, 302, 454, 336, 272, 284, 28255, 11482, 604, 334, 20075, 826, 4590, 1721, 1535, 538, 2338, 912, 825, 7117, 272, 269, 1584, 3287, 994, 2745, 32429, 272, 10947, 15405, 2745, 32429, 272, 10947, 15405, 2745, 32429, 272, 10947, 15405, 2745, 32429, 272, 10947, 15405, 2745, 32429, 272, 10947, 31156, 258, 26212, 640, 6581, 826, 454, 336, 274, 815, 20313, 10422, 1874, 640, 20075, 826, 4590, 336, 274, 269, 1584, 9230, 273, 2437, 4537, 643, 600, 6129, 559, 13225, 657, 1446, 27363, 336, 274, 269, 1584, 9230, 272, 2437, 300, 1446, 27363, 336, 274, 269, 1584, 9230, 274, 267, 2641, 11723, 6112, 711, 630, 336, 274, 269, 24105, 3890, 2187, 825, 1820, 32429, 274, 10947, 31156, 19638, 19638, 7531, 672, 692, 7531, 0, 18851, 13329, 2939, 5811, 1210, 1257, 4565, 984, 8173, 5228, 1257, 4565, 984, 1104, 7956, 7922, 984, 454, 5228, 11356, 1104, 9137, 692, 14766, 815, 3403, 2891, 11767, 519, 29250, 540, 519, 2376, 547, 2196, 519, 2079, 24097, 333, 15419, 14835, 284, 20684, 263, 14766, 2020, 14835, 6155, 5877, 4590, 14835, 269, 27785, 4590, 14835, 8542, 331, 335, 10797, 3667, 815, 2376, 27904, 4424, 454, 2745, 29495, 9239, 4565, 984, 815, 7956, 7922, 984, 29495, 994, 338, 550, 2939, 815, 1025, 984, 4732, 550, 2939, 4877, 6897, 640, 3097, 18851, 910, 272, 1677, 476, 272, 630, 289, 611, 25341, 6153, 264, 8173, 2745, 4433, 550, 2939, 2020, 604, 18941, 2652, 476, 271, 912, 825, 1820, 2891, 763, 1543, 540, 519, 2376, 5654, 9243, 5602, 19197, 630, 271, 283, 338, 550, 2939, 2999, 476, 271, 269, 276, 476, 2187, 825, 1820, 2891, 763, 9137, 568, 930, 2914, 1002, 2318, 5602, 19197, 18941, 13843, 476, 271, 269, 276, 912, 825, 1820, 2891, 763, 9137, 568, 5403, 633 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4505, 6881, 949, 849, 2049, 609, 4028, 12614, 540, 4049, 2589, 267, 538, 1880, 19818, 269, 634, 1034, 1455, 2589, 540, 1826, 476, 272, 3987, 22577, 546, 332, 616, 4874, 22202, 267, 4874, 323, 2354, 807, 267, 543, 4874, 874, 698, 807, 267, 2059, 609, 561, 817, 3363, 267, 15353, 267, 543, 23324, 5075, 267, 782, 540, 799, 1267, 689, 519, 5409, 16744, 20945, 3294, 269, 1677, 4766, 519, 9043, 540, 2043, 540, 1072, 2533, 2687, 547, 519, 4632, 6594, 269, 901, 568, 4440, 519, 1101, 3102, 1837, 593, 1439, 4531, 11659, 543, 3987, 22577, 799, 568, 30363, 676, 930, 540, 519, 6845, 328, 768, 739, 21944, 4966, 538, 519, 2361, 269, 634, 2619, 30986, 540, 1826, 476, 272, 3987, 24283, 689, 519, 16991, 9552, 540, 7378, 572, 920, 1154, 25524, 2281, 269, 9502, 267, 5868, 543, 8760, 540, 3987, 22577, 269, 4455, 476, 2764, 267, 476, 1001, 276, 5103, 741, 7145, 538, 16715, 9025, 24896, 543, 9019, 267, 2493, 1231, 476, 274, 5139, 32611, 274, 332, 14007, 6921, 583, 776, 331, 1723, 523, 10405, 513, 1487, 551, 848, 554, 16936, 337, 20127, 723, 1044, 3254, 547, 581, 2404, 609, 513, 1507, 1981, 540, 10071, 3987, 22577, 269, 769, 930, 2665, 267, 575, 323, 332, 568, 2965, 1826, 476, 273, 3987, 602, 814, 711, 5892, 1044, 8995, 267, 855, 585, 1034, 2550, 519, 269, 15482, 2359, 9270, 585, 519, 3461, 609, 3987, 269, 589, 4909, 543, 4791, 1257, 632, 516, 330, 561, 3266, 603, 267, 521, 830, 517, 1775, 269, 7392, 476, 272, 3987, 5892, 1572, 1202, 592, 785, 8817, 3987, 22577, 610, 11174, 976, 564, 3987, 949, 2272, 585, 476, 276, 260, 547, 476, 1015, 260, 540, 782, 8995, 2665, 540, 3987, 269, 634, 10424, 513, 26894, 2852, 540, 2489, 9439, 543, 3987, 31065, 267, 476, 1001, 277, 269, 1717, 267, 2094, 1082, 2550, 609, 1826, 476, 273, 3987, 2154, 7378, 267, 713, 16166, 3123, 10539, 543, 1058, 1100, 3476, 581, 1031, 563, 763, 2783, 568, 2356, 8995, 538, 1004, 9907, 936, 476, 2412, 1296, 267, 609, 513, 8445, 2085, 540, 12614, 538, 2919, 2477, 540, 476, 2568, 278, 271, 1296, 540, 2085, 269, 4658, 609, 3987, 723, 11465, 1981, 2157, 13380, 547, 1004, 609, 1991, 11465, 476, 736, 260, 476, 866, 260, 476, 271, 476, 276, 476, 1015, 476, 1428, 476, 736, 476, 1839, 3987, 1100, 1991, 11465, 1991, 11465, 1100, 3987, 561, 2550, 609, 3987, 1510, 3105, 11465, 723, 607, 1164, 540, 513, 1981, 540, 11465, 607, 562, 1180, 328, 12185, 2550, 609, 3105, 11465, 269, 9947, 476, 1556, 267, 476, 1001, 272, 4791, 23314, 540, 3987, 22577, 795, 2317, 476, 1556, 267, 476, 1001, 272, 676, 3987, 663, 339, 13015, 519, 3987, 568, 811, 6654, 982, 538, 4079, 267, 519, 2589, 538, 1453, 621, 19599, 267, 602, 519, 5868, 666, 581, 3006, 8959, 610, 16607, 267, 3987, 568, 513, 1390, 708, 527, 1807, 269, 10644, 540, 1826, 273, 3987, 22577, 543, 519, 1909, 540, 2168, 3635, 519, 2164, 540, 1585, 1246, 1575, 2090, 723, 7000, 602, 519, 1697, 2732, 5916, 609, 2168, 3635, 616, 711, 1152, 3730, 538, 7303, 1826, 273, 3987, 22577, 543, 5355, 2068, 4567, 855, 616, 849, 2500, 538, 519, 6604, 543, 2126, 540, 782, 824, 7378, 269, 3057, 476, 1556, 267, 476, 1708, 271, 693, 2988, 673, 5409, 16744, 20945, 6881, 5267, 6236, 513, 10368, 540, 824, 2010, 540, 3987, 269, 10765, 5359, 5815, 606, 2810, 9860, 540, 1826, 476, 273, 3987, 22577, 512, 323, 273, 332, 538, 1453, 543, 10708, 1472, 519, 1158, 538, 782, 6803, 885, 267, 7654, 1813, 547, 2810, 9860, 540, 8377, 269, 634, 1065, 27074, 566, 2564, 6392, 993, 1742, 267, 896, 1016, 7611, 476, 3422, 321, 279, 540, 269, 12128, 22577, 1696, 5735, 543, 2619, 30986, 4719, 16991, 10194, 2825, 7488, 540, 922, 2014, 267, 3987, 568, 5097, 513, 4524, 540, 7280, 10307, 678, 339, 15534, 610, 13385, 7378, 3761, 543, 528, 4057, 13345, 540, 519, 7378, 602, 568, 2139, 269, 11916, 1439, 4531, 11659, 543, 3987, 22577, 4320, 476, 272, 7824, 269, 9509, 1257, 1205, 513, 7792, 5299, 7824, 3758, 540, 519, 2347, 2376, 476, 6795, 272, 330, 267, 610, 4945, 593, 513, 2985, 3239, 2630, 547, 19584, 2985, 676, 2985, 269, 769, 713, 1106, 540, 3987, 267, 519, 2557, 540, 536, 3250, 9552, 568, 3833, 4756, 267, 1373, 4028, 538, 930, 2043, 5631, 12256, 543, 1453, 543, 3500, 538, 1866, 5631, 4079, 269, 4750, 540, 3987, 543, 922, 8374, 795, 26501, 568, 513, 4760, 585, 1072, 1416, 9439, 543, 3173, 267, 602, 32245, 3312, 1382, 827, 519, 31630, 267, 5868, 543, 2359, 540, 3987, 22577, 543, 922, 8374, 269, 634, 5767, 9193, 12354, 3426, 476, 1220, 280, 5815, 972, 941, 936, 476, 13970, 267, 1822, 1007, 2665, 540, 3987, 8995, 538, 519, 20410, 1282, 519, 2250, 1032, 267, 8744, 519, 2698, 1297, 540, 1346, 8995, 547, 476, 273, 269, 12128, 3987, 22577, 3987, 22577, 3987, 563, 2304, 15435, 540, 1826, 476, 273, 3987, 568, 896, 1259, 538, 1312, 2919, 543, 3384, 2477, 827, 476, 1240, 2929, 1004, 538, 519, 579, 269, 634, 6437, 6227, 2866, 538, 782, 2185, 6082, 540, 519, 20410, 269, 11916, 19183, 540, 8459, 2068, 1851, 721, 4079, 269, 5623, 2376, 3987, 22577, 513, 14042, 10894, 269, 4937, 2259, 2359, 540, 1826, 476, 273, 3987, 3987, 31065, 269, 17976, 337, 543, 9074, 6205, 267, 8257, 540, 24027, 1072, 9443, 267, 1312, 334, 6280, 267, 536, 1824, 32272, 476, 273, 269, 12443, 22202, 568, 3361, 676, 23015, 5328, 1019, 999, 529, 6281, 547, 5409, 16744, 20945, 269, 5221, 621, 3947, 782, 519, 2010, 1775, 666, 1631, 948, 930, 824, 1004, 602, 1616, 547, 1205, 1072, 269, 7392, 476, 273, 3987, 22577, 666, 2356, 581, 21630, 689, 1826, 476, 272, 3987, 22577, 593, 519, 4493, 540, 1686, 543, 2168, 6514, 4681, 543, 2241, 8047, 4255, 1294, 960, 1575, 563, 763, 2165, 3987, 22577, 6257, 3676, 540, 9402, 19346, 10307, 602, 616, 6353, 676, 5409, 16744, 20945, 269, 11916, 23314, 540, 3987, 22577, 3987, 543, 269, 12186, 540, 3987, 7824, 3987, 22577, 2069, 269, 589, 20200, 673, 5409, 16744, 20945, 6881, 5267, 6236, 513, 10368, 540, 824, 2010, 540, 3987, 269, 6465, 1231, 543, 1007, 976, 564, 3987, 22577, 543, 15847, 269, 7392, 476, 272, 3987, 6589, 585, 827, 476, 1015, 476, 1428, 260, 540, 782, 31911, 269, 769, 713, 2543, 267, 519, 1353, 2295, 2557, 13260, 607, 2038, 24750, 518, 585, 519, 6268, 540, 3987, 22577, 3356, 676, 678, 269, 4455, 476, 3066, 267, 476, 1708, 271, 519, 1034, 1455, 2589, 540, 1826, 476, 272, 3987, 22577, 546, 332, 616, 4874, 22202, 267, 4874, 323, 2354, 807, 267, 543, 4874, 874, 698, 807, 267, 2059, 609, 561, 817, 3363, 267, 15353, 267, 543, 23324, 5075, 267, 782, 540, 799, 1267, 689, 519, 5409, 16744, 20945, 3294, 269, 589, 476, 7871, 20204, 1245, 812, 609, 1826, 476, 273, 546, 332, 540, 476, 279, 1296, 8653, 6799, 547, 519, 16758, 609, 513, 1686, 540, 1928, 543, 513, 20414, 610, 1327, 6362, 14815, 950, 12394, 547, 4827, 519, 11263, 540, 1010, 1318, 1688, 269, 4985, 3987, 22577, 568, 513, 10894, 4524, 6353, 676, 10770, 5409, 16744, 20945, 1164, 1973, 4006, 1377, 563, 5278, 2550, 267, 3226, 669, 559, 546, 1066, 543, 10708, 267, 949, 1459, 609, 27520, 29403, 2670, 607, 519, 269, 12207, 616, 513, 1900, 6251, 547, 1620, 1946, 3987, 568, 269, 12128, 22577, 546, 332, 267, 4122, 1634, 607, 3987, 267, 568, 513, 1895, 540, 10894, 4713, 6353, 676, 513, 1164, 1973, 4006, 1377, 936, 513, 12675, 1974, 540, 942, 269, 12128, 22577, 15428, 533, 696, 562, 6344, 3987, 22577, 1990, 30377, 269, 31080, 616, 2808, 693, 1164, 1981, 585, 3987, 952, 789, 269, 8241, 2852, 540, 2489, 9439, 543, 3987, 31065, 267, 476, 1001, 275, 269, 4455, 476, 3066, 267, 476, 1708, 271, 1826, 476, 273, 3987, 22577, 666, 2356, 581, 21630, 689, 1826, 476, 272, 3987, 22577, 593, 519, 4493, 540, 1686, 543, 2168, 6514, 4681, 543, 2241, 8047, 4255, 1294, 960, 1575, 269, 12128, 22577, 568, 513, 5312, 25012, 4524, 267, 6353, 676, 5409, 16744, 8619, 8598, 4611, 689, 6207, 610, 3448, 7378, 10638, 269, 11916, 23314, 540, 3987, 22577, 795, 2317, 476, 1556, 267, 476, 1001, 272, 676, 3987, 663, 339, 13015, 519, 3987, 568, 811, 6654, 982, 538, 4079, 267, 519, 2589, 538, 1453, 621, 19599, 267, 602, 519, 5868, 666, 581, 3006, 8959, 610, 16607, 267, 3987, 568, 513, 1390, 708, 527, 1807, 269, 7392, 476, 273, 3987, 568, 27537, 676, 9402, 7378, 21131, 1813, 547, 15672, 4187, 269, 1290, 4124, 543, 519, 942, 540, 5868, 540, 3987, 22577, 538, 3119, 1416, 519, 11117, 4632, 941, 1124, 1675, 655, 4919, 4162, 267, 8653, 540, 2068, 543, 12614, 540, 8374, 689, 1004, 609, 513, 5868, 540, 3987, 22577, 269, 589, 1007, 2165, 267, 952, 326, 15176, 17509, 7280, 267, 11225, 7280, 2418, 602, 616, 3152, 982, 610, 3160, 547, 476, 1911, 8406, 323, 331, 543, 909, 547, 476, 10219, 8406, 323, 331, 269, 28088, 532, 2901, 689, 16283, 21131, 540, 9449, 7378, 267, 606, 7850, 3210, 540, 3077, 1591, 547, 7378, 610, 4999, 540, 891, 2188, 269, 14904, 609, 1826, 476, 273, 3987, 616, 3622, 17324, 267, 543, 949, 723, 1035, 13183, 2670, 562, 580, 878, 753, 543, 528, 554, 15077, 583, 1143, 538, 563, 297, 26501, 849, 32245, 4930, 593, 12214, 543, 7636, 3344, 540, 7280, 27921, 269, 4475, 267, 519, 2832, 540, 938, 1353, 729, 547, 6218, 519, 4791, 6881, 543, 2359, 540, 3987, 22577, 538, 6379, 543, 3715, 741, 1198, 593, 519, 6364, 540, 6379, 269, 2776, 28700, 3928, 540, 1875, 1231, 592, 785, 8817, 3987, 22577, 562, 1342, 332, 1759, 593, 606, 5711, 7280, 10892, 1449, 267, 1686, 267, 543, 6646, 946, 941, 11117, 538, 606, 26627, 1069, 1497, 5035, 2146, 540, 4587, 269, 5004, 540, 1826, 476, 273, 3987, 22577, 544, 747, 10247, 4915, 269, 8447, 6514, 8761, 513, 27621, 762, 12162, 2544, 936, 519, 8772, 543, 11359, 1558, 659, 17369, 2684, 531, 1052, 531, 26818, 335, 10549, 269, 4658, 945, 723, 1826, 476, 272, 3987, 666, 1100, 3476, 1118, 713, 9449, 269, 6184, 6081, 8060, 875, 1454, 4006, 13978, 538, 707, 1973, 269, 5004, 540, 1973, 7280, 538, 1826, 476, 273, 3987, 22577, 7824, 269, 5463, 476, 1015, 267, 476, 736, 519, 11841, 540, 3987, 22577, 568, 1164, 538, 737, 17703, 7159, 2190, 543, 786, 3136, 547, 2333, 1839, 538, 2070, 540, 519, 2810, 11841, 540, 8377, 538, 519, 2551, 269, 12580, 1419, 1331, 7928, 30614, 267, 2799, 19818, 267, 543, 2799, 269, 898, 729, 1101, 4080, 538, 26131, 1014, 12377, 827, 476, 4968, 271, 1296, 3516, 269, 2422, 540, 519, 544, 747, 10247, 29302, 9584, 6293, 607, 513, 2268, 540, 30218, 27101, 15672, 29302, 538, 1826, 476, 272, 3987, 269, 23398, 2242, 538, 519, 1576, 540, 546, 9492, 267, 1896, 6198, 2242, 1020, 543, 3356, 4137, 476, 272, 563, 7093, 28700, 3928, 540, 1875, 1202, 592, 785, 8817, 3987, 22577, 562, 1342, 332, 1759, 593, 606, 5711, 7280, 10892, 1449, 267, 1686, 267, 543, 6646, 946, 941, 11117, 538, 606, 26627, 1069, 1497, 5035, 2146, 540, 4587, 269, 12128, 22577, 568, 519, 1034, 1455, 2014, 540, 5312, 8459, 2068, 538, 519, 1158, 267, 3056, 547, 2789, 8374, 1519, 1439, 560, 720, 17669, 2068, 267, 9025, 2068, 267, 3968, 267, 543, 2669, 269, 27275, 27248, 679, 999, 529, 6281, 547, 4874, 22202, 666, 581, 606, 16315, 540, 12614, 269, 898, 568, 5497, 547, 1683, 513, 16046, 8115, 1063, 519, 2259, 540, 4791, 4915, 543, 2257, 540, 1439, 4531, 11659, 269, 2004, 279, 476, 278, 2767, 476, 279, 4817, 476, 15793, 278, 476, 5611, 273, 476, 280, 1691, 476, 15793, 476, 15221, 278, 476, 4649, 274, 476, 15793, 280, 476, 276, 6507, 476, 16825, 280, 476, 14321, 476, 14625, 276, 476, 5611, 276, 476, 279, 4097, 476, 276, 3066, 476, 279, 3066, 476, 8099, 273, 476, 279, 6858, 476, 13199, 476, 24062, 476, 13893, 280, 476, 276, 1724, 476, 13923, 278, 476, 16318, 277, 476, 2735, 476, 2412, 476, 10755, 476, 30020, 476, 9818, 276, 476, 5611, 280, 476, 279, 4510, 476, 31134, 476, 14983, 275, 476, 8064, 476, 14681, 476, 1220, 476, 4281, 276, 476, 20542, 476, 27244, 476, 22332, 0, 763, 3339, 7344, 8647, 540, 519, 2295, 5673, 593, 1697, 5122, 8647, 267, 10630, 538, 519, 18615, 11852, 540, 10605, 20447, 2281, 267, 543, 519, 3339, 18640, 540, 2534, 998 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3992, 5956, 609, 3815, 4054, 543, 10953, 7444, 547, 28809, 676, 23454, 543, 2027, 3270, 269, 17029, 3149, 808, 1723, 6115, 780, 10190, 267, 1053, 2328, 782, 540, 519, 3815, 8424, 540, 519, 3791, 2165, 543, 5858, 519, 6292, 269, 8479, 22697, 1451, 547, 14458, 7787, 3252, 998, 28809, 269, 634, 28809, 4976, 267, 1053, 946, 741, 4267, 616, 1318, 1934, 616, 2556, 585, 1053, 5659, 519, 1655, 851, 540, 713, 4976, 269, 8921, 3815, 519, 1101, 1079, 2474, 543, 3815, 519, 2063, 1079, 2474, 269, 769, 713, 28809, 4976, 267, 1053, 14458, 959, 30796, 338, 269, 9717, 959, 30796, 4976, 4267, 609, 28809, 3211, 547, 269, 1403, 11234, 267, 5225, 6330, 547, 519, 3617, 15682, 4087, 269, 1284, 723, 1500, 621, 2653, 585, 596, 547, 1265, 513, 7300, 661, 9248, 1510, 1022, 20857, 269, 769, 1312, 3044, 543, 2626, 950, 4358, 609, 2606, 2055, 269, 1452, 4066, 616, 1031, 585, 1919, 899, 1719, 1759, 661, 1206, 344, 18537, 269, 2422, 1034, 1419, 267, 28809, 4976, 4267, 543, 2626, 1883, 568, 3769, 269, 1411, 3112, 2824, 513, 2243, 952, 519, 1699, 1353, 1900, 568, 711, 513, 2243, 269, 16748, 538, 1114, 2994, 538, 513, 3992, 585, 28809, 9076, 18267, 780, 15648, 1570, 543, 28809, 3211, 4267, 267, 1287, 2626, 950, 1101, 269, 769, 1249, 1819, 959, 30796, 338, 4976, 4267, 543, 3815, 519, 4976, 2697, 519, 269, 6611, 568, 3177, 547, 5299, 519, 2953, 2626, 950, 3177, 269, 6271, 1935, 547, 959, 30796, 338, 543, 2626, 1883, 568, 849, 1265, 543, 269, 3689, 267, 519, 30494, 568, 1336, 1210, 519, 25355, 14497, 269, 9906, 814, 29933, 13392, 780, 18800, 1114, 28809, 2409, 585, 23481, 338, 267, 959, 30796, 338, 267, 543, 21335, 269, 1403, 789, 941, 3160, 547, 835, 267, 519, 2179, 540, 942, 596, 6108, 1131, 581, 7494, 27571, 269, 13017, 23652, 547, 959, 30796, 338, 4976, 4267, 585, 1919, 899, 952, 519, 959, 30796, 7215, 602, 616, 2907, 606, 3169, 4605, 540, 269, 3689, 2097, 2066, 538, 28809, 959, 30796, 338, 4976, 4267, 269, 1358, 723, 10375, 4267, 616, 596, 3112, 2824, 513, 959, 30796, 286, 901, 568, 513, 28809, 959, 30796, 338, 676, 23454, 681, 2839, 291, 4041, 4976, 269, 2353, 540, 519, 9076, 18267, 538, 519, 4199, 723, 513, 3056, 11664, 540, 835, 269, 769, 713, 7223, 3992, 267, 1053, 4194, 959, 30796, 338, 1210, 2027, 3270, 269, 898, 568, 519, 2626, 519, 3381, 602, 789, 9305, 28809, 513, 28809, 286, 3689, 1711, 707, 2626, 6656, 814, 29933, 2042, 689, 6061, 543, 269, 10261, 513, 2370, 3063, 948, 2496, 1103, 513, 959, 30796, 267, 621, 568, 711, 513, 2370, 4503, 2496, 9202, 3815, 4054, 543, 2653, 585, 28809, 13392, 7215, 602, 6238, 609, 2606, 2055, 610, 1312, 2318, 610, 3017, 10945, 2626, 609, 28809, 959, 30796, 338, 4976, 4267, 585, 1053, 3815, 856, 780, 15933, 1357, 4976, 585, 28809, 2596, 9076, 18267, 3815, 267, 543, 2347, 606, 7979, 1512, 814, 513, 1463, 8390, 2078, 547, 1820, 1142, 786, 2901, 581, 2111, 547, 269, 0, 5141, 846, 692, 1012, 1548, 3123, 606, 1843, 547, 1689, 3432, 610, 4287, 2496, 2690, 806, 1860, 875, 3615, 1847, 269, 1358, 949, 2014, 5163, 282, 789, 949, 849, 3500, 267, 3247, 267, 610, 1689, 519, 4287, 540, 5163, 540, 606, 1843, 602, 568, 2907, 3001, 269, 4595, 3196, 2014, 2242, 538, 519, 3432, 610, 4287, 540, 606, 1843, 267, 649, 666, 2161, 602, 4229, 2014, 2242, 538, 6991, 269, 1924, 4229, 2014, 10231, 780, 1012, 1548, 3196, 3123, 513, 3001, 1843, 547, 3432, 909, 2496, 30311, 476, 273, 1107, 17086, 1118, 1919, 3432, 909, 630, 528, 17108, 1040, 1879, 513, 3196, 24864, 610, 27605, 519, 1843, 267, 519, 1843, 786, 1847, 538, 519, 4287, 540, 519, 3196, 269, 634, 8273, 519, 3196, 267, 543, 519, 14402, 519, 1843, 267, 519, 3152, 519, 10231, 780, 1012, 1548, 3123, 606, 1843, 547, 1847, 3432, 909, 3500, 1524, 543, 3247, 610, 1689, 4287, 2496, 2690, 19335, 3615, 543, 3615, 3001, 609, 513, 11931, 3432, 538, 513, 2786, 1899, 267, 782, 519, 4229, 22599, 1142, 824, 856, 267, 1775, 4318, 269, 789, 616, 7059, 269, 1403, 519, 4229, 616, 711, 7059, 1287, 519, 5163, 540, 519, 1843, 2242, 269, 898, 949, 3432, 909, 267, 3500, 1524, 543, 5924, 1689, 4287, 780, 1012, 1548, 786, 4755, 547, 519, 3432, 540, 513, 3001, 1843, 950, 649, 4019, 3196, 538, 4287, 540, 5163, 2496, 2252, 519, 3196, 4294, 593, 519, 1843, 568, 538, 519, 4287, 540, 922, 5163, 267, 519, 3432, 540, 519, 1843, 4679, 269, 1403, 519, 3196, 568, 4294, 538, 519, 4287, 6587, 547, 519, 4287, 540, 5163, 267, 1287, 621, 2164, 538, 513, 6175, 538, 519, 3432, 540, 519, 1843, 269, 2913, 721, 2015, 930, 811, 1806, 780, 1012, 1215, 666, 649, 2569, 519, 3432, 540, 513, 3001, 1843, 2496, 12585, 281, 1403, 3196, 568, 4294, 538, 519, 4287, 6587, 547, 519, 4287, 540, 519, 5163, 2073, 621, 2164, 538, 513, 6175, 538, 519, 3432, 540, 519, 1843, 780, 1012, 2052, 513, 1447, 7372, 1843, 723, 811, 11610, 982, 513, 811, 7372, 1843, 2496, 288, 1447, 7372, 1843, 666, 2760, 723, 811, 11610, 982, 513, 811, 7372, 1843, 269, 5565, 9838, 3615, 616, 3001, 538, 6587, 8846, 693, 519, 1482, 3432, 269, 634, 4464, 3001, 1843, 786, 723, 519, 6574, 11610, 780, 1012, 6496, 513, 19335, 1843, 723, 24880, 2496, 1103, 1068, 807, 568, 513, 3196, 799, 8952, 19335, 3615, 693, 1964, 543, 3001, 3615, 538, 5163, 693, 3586, 6991, 269, 769, 1068, 807, 568, 513, 3196, 799, 6770, 782, 3615, 547, 513, 1964, 2990, 269, 2353, 3615, 723, 24880, 269, 16258, 2173, 8221, 3615, 723, 811, 24880, 982, 3500, 2173, 8221, 3615, 780, 1012, 1879, 606, 1843, 11250, 909, 1281, 621, 2744, 11610, 2496, 763, 11610, 540, 606, 1843, 666, 1689, 269, 5565, 3615, 609, 519, 1482, 2527, 786, 2141, 723, 519, 1482, 11610, 269, 3502, 782, 3001, 3615, 723, 11610, 269, 1879, 606, 1843, 11250, 909, 621, 12374, 11610, 780, 1012, 1215, 666, 513, 811, 7372, 1843, 723, 519, 1482, 15452, 1648, 607, 513, 1447, 7372, 1843, 2496, 1607, 568, 5726, 540, 11610, 269, 20653, 6290, 568, 519, 12018, 3815, 538, 11610, 269, 4746, 267, 538, 601, 2880, 16580, 1797, 602, 519, 3615, 786, 711, 25483, 1055, 1310, 16580, 269, 4475, 267, 519, 3432, 540, 519, 811, 7372, 1843, 786, 581, 519, 1482, 607, 519, 3432, 540, 519, 1447, 2173, 817, 633, 1843, 1317, 540, 4483, 540, 15452, 1648, 780, 1012, 1215, 798, 596, 917, 952, 606, 1843, 814, 811, 15452, 1648, 2496, 12179, 5503, 2339, 568, 538, 5163, 621, 814, 15452, 1648, 269, 634, 5488, 606, 1843, 7575, 267, 519, 811, 15452, 1648, 621, 814, 269, 634, 811, 2527, 606, 1843, 814, 267, 519, 811, 15452, 1648, 621, 814, 269, 4340, 547, 713, 3830, 267, 1018, 2360, 918, 9950, 269, 811, 519, 2527, 610, 519, 6991, 2496, 1012, 1215, 798, 596, 917, 952, 606, 1843, 814, 811, 1761, 1648, 2496, 763, 2179, 540, 14965, 1761, 1648, 606, 1843, 814, 5673, 593, 922, 4463, 543, 2527, 269, 634, 18219, 519, 1843, 543, 519, 2362, 621, 568, 1657, 519, 2666, 267, 519, 811, 14965, 1761, 1648, 621, 6585, 780, 1012, 2052, 606, 1843, 723, 811, 982, 835, 1106, 540, 1648, 2496, 4407, 1648, 666, 2097, 538, 1082, 1114, 2010, 267, 972, 616, 1152, 1079, 1292, 3029, 540, 1648, 281, 15452, 1648, 543, 1761, 1648, 269, 1452, 19367, 616, 1336, 538, 782, 3615, 269, 1403, 606, 1843, 568, 538, 5163, 630, 328, 4318, 269, 3001, 1070, 621, 568, 1767, 547, 723, 15452, 1648, 780, 1012, 1548, 616, 519, 2188, 7133, 519, 15452, 1648, 540, 606, 1843, 2496, 2467, 616, 1079, 2188, 602, 1860, 875, 1454, 15452, 1648, 513, 3001, 1843, 786, 723, 281, 2527, 543, 3432, 780, 1012, 1548, 616, 519, 2188, 602, 3310, 519, 15452, 1648, 540, 713, 20987, 2496, 763, 2179, 540, 20943, 2045, 6052, 602, 606, 1843, 19299, 568, 8200, 593, 1079, 2188, 281, 2527, 543, 6991, 269, 5637, 540, 891, 2188, 616, 2047, 14354, 547, 519, 15452, 1648, 780, 1012, 1548, 568, 519, 15452, 1648, 540, 513, 476, 1911, 4846, 1843, 602, 568, 3001, 609, 513, 3432, 540, 476, 1321, 269, 276, 332, 590, 2496, 284, 476, 278, 267, 279, 1321, 269, 276, 795, 537, 956, 2659, 13613, 568, 1259, 856, 540, 1445, 267, 543, 7543, 547, 1224, 780, 1012, 1548, 4523, 547, 519, 15452, 1648, 540, 513, 3001, 1843, 952, 922, 6991, 568, 23060, 2496, 12585, 269, 1403, 6991, 568, 23060, 267, 20943, 2045, 6052, 4679, 676, 476, 275, 2053, 269, 20943, 2045, 1648, 540, 513, 1560, 568, 519, 1648, 22234, 676, 621, 267, 676, 16495, 540, 922, 5163, 267, 1775, 4318, 269, 952, 519, 1560, 568, 3001, 621, 786, 2141, 723, 15452, 1648, 780, 1708, 272, 268, 4962, 268, 1428, 0, 258, 6673, 10803, 15099, 476, 1220, 278, 2271, 549, 307, 8962, 692, 263, 11795, 2397, 1063, 26941, 994, 297, 2794, 547, 281, 12445, 267, 3406, 454, 31280, 607, 540, 476, 4962, 281, 1321, 267, 476, 278, 4728, 476, 1220, 279, 630, 1613, 2707, 264, 296, 17383, 291, 514, 990, 630, 307, 1779, 1923, 1980, 338, 264, 630, 20681, 7343, 25209, 1299, 7844, 4406, 9179, 264, 16378, 494, 24771, 12575, 7351, 14469, 607, 540, 476, 1428, 281, 4366, 267, 476, 276, 4989, 476, 1001, 274, 630, 1613, 2707, 264, 296, 17383, 291, 514, 990, 630, 307, 1779, 1923, 1980, 338, 264, 544, 630, 20681, 10574, 1773, 1824, 264, 630, 1321, 13591, 26941, 711, 3254, 264, 7412, 476, 273, 281, 7412, 476, 273, 281, 2652, 32417, 609, 13088, 630, 15612, 2209, 543, 23675, 264, 2525, 2652, 32417, 609, 13088, 630, 15612, 2209, 543, 23675, 264, 2525, 910, 589, 2565, 5057, 538, 1022, 1239, 2079, 610, 1184, 1620, 1935, 568, 519, 1646, 540, 513, 2203, 269, 17738, 723, 11741, 10763, 11269, 630, 324, 3052, 1421, 12596, 267, 12572, 4834, 267, 3092, 4700, 634, 2203, 568, 4749, 1031, 547, 1353, 519, 1184, 27985, 269, 2506, 2869, 673, 15418, 540, 519, 2203, 568, 5645, 676, 726, 19982, 538, 1239, 543, 2965, 4152, 519, 2203, 269, 901, 15418, 1900, 949, 581, 2944, 16924, 267, 676, 7384, 519, 2203, 12605, 610, 2203, 23221, 689, 6592, 7403, 269, 901, 3335, 949, 581, 2944, 676, 1688, 1152, 585, 1507, 1297, 540, 7422, 630, 283, 1015, 1040, 769, 2259, 267, 1034, 540, 519, 942, 267, 649, 2328, 630, 528, 946, 2291, 550, 264, 6620, 543, 2780, 3292, 602, 25117, 891, 9273, 585, 1732, 4398, 267, 6111, 543, 11007, 538, 7311, 519, 2203, 547, 3677, 14449, 269, 1341, 589, 2565, 5057, 538, 1022, 1239, 2079, 610, 1184, 1620, 1935, 568, 519, 1646, 540, 513, 2203, 269, 17738, 723, 11741, 10763, 11269, 630, 324, 3052, 1421, 12596, 267, 12572, 4834, 267, 3092, 4700, 634, 2203, 568, 4749, 1031, 547, 1353, 519, 1184, 27985, 269, 2506, 2869, 673, 15418, 540, 519, 2203, 568, 5645, 676, 726, 19982, 538, 1239, 543, 2965, 4152, 519, 2203, 269, 901, 15418, 1900, 949, 581, 2944, 16924, 267, 676, 7384, 519, 2203, 12605, 610, 2203, 23221, 689, 6592, 7403, 269, 901, 3335, 949, 581, 2944, 676, 1688, 1152, 585, 1507, 1297, 540, 7422, 630, 283, 1015, 1040, 769, 2259, 267, 1034, 540, 519, 942, 267, 649, 2328, 630, 528, 946, 2291, 550, 264, 6620, 543, 2780, 3292, 602, 25117, 891, 9273, 585, 3152, 4398, 267, 6111, 543, 11007, 538, 7311, 519, 2203, 547, 3677, 14449, 269, 1703, 616, 513, 1297, 540, 1496, 10674, 2517, 523, 25769, 3820, 28293, 270, 8266, 15058, 14067, 520, 6750, 7272, 871, 1137, 8579, 3301, 2645, 630, 2889, 31810, 264, 602, 835, 666, 2308, 585, 1239, 2079, 543, 8579, 4393, 4940, 2368, 540, 891, 616, 281, 1496, 10674, 2517, 4178, 4732, 553, 2593, 590, 3008, 3910, 1496, 10674, 2517, 4178, 269, 1910, 560, 520, 2593, 20219, 4306, 2969, 3910, 1496, 10674, 2517, 4178, 4732, 335, 1087, 2593, 590, 31723, 3910, 1496, 10674, 2517, 4178, 25331, 3491, 915, 3820, 681, 3910, 20886, 306, 8016, 305, 316, 3910, 3092, 269, 1703, 616, 513, 1297, 540, 1496, 10674, 2517, 523, 25769, 3820, 28293, 270, 8266, 15058, 14067, 520, 6750, 7272, 871, 1137, 8579, 3301, 2645, 630, 2889, 31810, 264, 602, 835, 666, 2308, 585, 1239, 2079, 543, 8579, 4393, 4940, 2368, 540, 891, 616, 281, 1496, 10674, 2517, 4178, 4732, 553, 2593, 590, 3008, 3910, 1496, 10674, 2517, 4178, 269, 1910, 560, 520, 2593, 20219, 4306, 2969, 3910, 1496, 10674, 2517 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29557, 13012, 692, 258, 476, 280, 269, 5400, 11730, 540, 929, 3359, 543, 26561, 692, 8893, 692, 24127, 568, 519, 2179, 540, 2230, 606, 3615, 3217, 909, 267, 713, 666, 581, 519, 2179, 540, 2230, 513, 476, 274, 291, 3337, 26328, 610, 519, 2230, 602, 513, 6219, 630, 338, 13521, 267, 5277, 610, 3154, 264, 25361, 269, 898, 568, 6027, 1210, 4559, 971, 607, 12945, 1984, 22015, 637, 630, 7825, 274, 1070, 12945, 1298, 22015, 637, 630, 9492, 274, 264, 543, 12945, 15432, 630, 332, 274, 6393, 2414, 1265, 519, 4320, 540, 1109, 14328, 929, 3359, 476, 1109, 933, 666, 9062, 519, 1614, 7516, 1927, 269, 5564, 28745, 519, 3259, 676, 519, 4560, 3947, 721, 519, 1858, 540, 519, 3490, 267, 649, 666, 1287, 9062, 713, 676, 519, 4463, 547, 1265, 519, 4320, 780, 24127, 540, 513, 14328, 24388, 692, 763, 4320, 540, 513, 14328, 24388, 568, 2016, 676, 692, 7445, 3667, 346, 24127, 7684, 7807, 3667, 346, 26319, 476, 4153, 9392, 20728, 15830, 1348, 628, 476, 4153, 9392, 20728, 346, 19417, 476, 4151, 24127, 815, 26319, 6398, 30103, 628, 6398, 19417, 2073, 610, 692, 259, 309, 284, 331, 24585, 536, 24585, 554, 259, 309, 284, 331, 9943, 321, 9943, 327, 692, 2162, 10222, 9771, 929, 3359, 692, 2414, 1265, 519, 4320, 540, 513, 21083, 24388, 267, 649, 666, 798, 607, 649, 1705, 585, 519, 14328, 24388, 543, 1265, 519, 1297, 540, 10945, 602, 1131, 3382, 519, 3490, 630, 19327, 540, 519, 3490, 264, 16611, 676, 519, 4463, 780, 3383, 1109, 1492, 4320, 568, 1384, 7445, 3667, 346, 24127, 7684, 7807, 3667, 346, 22704, 540, 519, 6906, 476, 4153, 9392, 20728, 346, 3891, 697, 540, 519, 24388, 476, 4151, 24127, 815, 22704, 540, 519, 6906, 6398, 3891, 697, 540, 519, 24388, 692, 7712, 519, 24388, 666, 1413, 3833, 1114, 4470, 593, 519, 21083, 3068, 543, 799, 1259, 621, 568, 7259, 730, 649, 991, 547, 581, 18762, 827, 799, 7403, 649, 946, 538, 938, 9273, 780, 2414, 5173, 519, 4320, 540, 513, 21083, 24388, 649, 991, 519, 3490, 543, 13902, 4463, 540, 519, 21083, 3068, 607, 1134, 607, 519, 3259, 1109, 1993, 519, 24388, 1109, 268, 519, 3845, 1063, 519, 1079, 21083, 8188, 267, 1109, 6518, 568, 849, 5219, 547, 607, 1109, 1492, 13902, 4463, 540, 519, 24388, 692, 11693, 891, 1614, 7403, 519, 4320, 540, 513, 21083, 24388, 666, 581, 1336, 607, 5205, 780, 24127, 540, 21083, 929, 3359, 692, 2690, 21083, 929, 3359, 1384, 7445, 3667, 346, 24127, 7684, 7807, 3667, 346, 22704, 540, 519, 6906, 4153, 9392, 20728, 346, 19417, 540, 519, 24388, 4151, 24127, 815, 22704, 540, 519, 6906, 9943, 19417, 540, 519, 24388, 692, 7617, 649, 666, 14458, 547, 1269, 309, 284, 25105, 259, 309, 284, 25105, 780, 2971, 4518, 539, 1383, 692, 8340, 519, 4320, 540, 519, 21083, 24388, 3254, 780, 13914, 281, 1109, 2171, 1616, 547, 2697, 519, 3490, 543, 13902, 4463, 540, 519, 21083, 3068, 543, 519, 3259, 540, 519, 24388, 269, 1284, 666, 1287, 946, 519, 4542, 281, 4399, 3667, 346, 24127, 7684, 7807, 3667, 346, 22704, 540, 6906, 4153, 9392, 20728, 346, 19417, 540, 519, 24388, 4151, 24127, 815, 22704, 540, 6906, 9943, 19417, 540, 519, 24388, 780, 2710, 1384, 1269, 309, 259, 309, 1269, 284, 259, 284, 4399, 3667, 346, 22704, 540, 6906, 4153, 9392, 20728, 346, 19417, 540, 519, 24388, 4151, 22704, 540, 6906, 9943, 19417, 540, 519, 24388, 3503, 1524, 4542, 269, 1269, 284, 259, 284, 4399, 3847, 7268, 2765, 346, 272, 2410, 273, 4153, 9392, 275, 24585, 274, 9368, 9385, 9392, 277, 259, 263, 1321, 25991, 9943, 275, 9943, 274, 264, 9943, 277, 15240, 3482, 538, 2016, 13080, 269, 1269, 284, 259, 284, 1269, 277, 24585, 277, 259, 277, 9943, 277, 21414, 519, 1858, 1101, 1269, 284, 259, 284, 1269, 3607, 259, 3607, 21414, 519, 1587, 547, 1265, 519, 4320, 692, 3383, 519, 4320, 540, 519, 21083, 24388, 568, 1269, 3607, 259, 3607, 4699, 273, 780, 8269, 937, 281, 1284, 666, 1294, 602, 538, 519, 2013, 1109, 1993, 1312, 519, 14328, 24388, 267, 543, 519, 21083, 24388, 267, 649, 1101, 7229, 519, 1858, 540, 519, 6366, 3490, 602, 2306, 909, 519, 3337, 267, 543, 1287, 16611, 713, 676, 519, 4463, 540, 519, 24388, 269, 1703, 568, 4986, 2027, 1109, 12671, 891, 1079, 5546, 267, 543, 538, 1249, 267, 649, 666, 1265, 519, 4320, 540, 1022, 24388, 1210, 519, 1482, 1505, 269, 2334, 568, 267, 952, 649, 917, 519, 1858, 540, 519, 3490, 543, 519, 4463, 540, 519, 24388, 649, 666, 1265, 519, 4320, 780, 2162, 11730, 540, 929, 3359, 692, 24127, 540, 513, 24388, 692, 2690, 782, 929, 3359, 1384, 7445, 3667, 346, 24127, 7684, 7807, 3667, 346, 22704, 540, 519, 3490, 4153, 9392, 20728, 346, 19417, 540, 519, 24388, 4151, 24127, 815, 22704, 540, 519, 3490, 9943, 19417, 540, 519, 24388, 692, 7617, 649, 666, 14458, 547, 1269, 309, 284, 25105, 259, 309, 284, 25105, 780, 2971, 6657, 2055, 692, 7462, 7726, 476, 272, 692, 8340, 519, 4320, 540, 519, 4137, 3254, 780, 7462, 7726, 476, 273, 692, 13706, 519, 24388, 3254, 538, 519, 6516, 780, 272, 269, 1548, 568, 519, 3337, 540, 519, 3490, 540, 713, 24388, 2496, 13640, 5537, 6945, 692, 288, 692, 31590, 4120, 692, 289, 692, 305, 624, 4120, 692, 290, 692, 306, 13645, 692, 291, 454, 273, 269, 4855, 519, 1858, 540, 519, 24388, 781, 3490, 780, 274, 269, 4855, 519, 4320, 540, 519, 24388, 780, 2162, 595, 2643, 785, 619, 692, 288, 12718, 568, 1360, 2147, 547, 513, 24388, 630, 21955, 585, 519, 14694, 3068, 1070, 865, 519, 4320, 666, 581, 1336, 1210, 519, 1482, 1523, 649, 723, 2907, 19927, 780, 24127, 540, 513, 12718, 454, 4399, 3667, 346, 24127, 540, 595, 2643, 5407, 476, 4151, 24127, 540, 595, 2643, 5407, 1269, 284, 259, 284, 4399, 3667, 346, 22704, 540, 12476, 476, 4153, 9392, 20728, 346, 3891, 697, 540, 2398, 1143, 4151, 22704, 540, 12476, 6398, 3891, 697, 540, 2398, 1143, 4399, 3667, 346, 24127, 540, 595, 2643, 5407, 476, 4151, 24127, 540, 595, 2643, 5407, 1269, 284, 259, 284, 4399, 7032, 678, 317, 273, 24585, 554, 259, 11027, 337, 273, 9943, 327, 4399, 3667, 346, 24127, 540, 595, 2643, 5407, 476, 4151, 24127, 540, 595, 2643, 5407, 1269, 284, 259, 284, 4399, 7032, 678, 317, 273, 327, 259, 11027, 337, 273, 327, 692, 2971, 6657, 2055, 692, 7462, 7726, 476, 274, 692, 13706, 519, 4396, 3254, 538, 519, 6516, 780, 272, 269, 1548, 568, 519, 3337, 540, 519, 3490, 540, 713, 4396, 2496, 290, 2643, 5407, 692, 288, 692, 306, 2438, 22511, 692, 289, 692, 305, 624, 4120, 692, 290, 692, 290, 22511, 692, 291, 454, 273, 269, 4855, 519, 3169, 1858, 540, 519, 4396, 781, 3490, 269, 23680, 1109, 20365, 2626, 538, 2474, 540, 4399, 7032, 259, 11027, 780, 274, 269, 4855, 519, 3169, 4320, 540, 519, 4396, 269, 1109, 32306, 707, 2626, 538, 2474, 540, 4399, 7032, 259, 11027, 780, 7462, 7726, 476, 275, 692, 8340, 519, 4320, 540, 519, 12718, 17031, 547, 1079, 8918, 4025, 780, 1012, 15531, 606, 7164, 2427, 2016, 519, 4320, 692, 15919, 649, 1522, 917, 519, 4320, 540, 513, 24388, 855, 649, 616, 7508, 835, 6482, 971, 607, 519, 519, 3259, 610, 4463, 269, 4635, 6498, 267, 649, 666, 960, 23651, 689, 519, 4542, 547, 1265, 856, 519, 7508, 1871, 780, 2690, 1383, 281, 2094, 513, 13306, 814, 3160, 3259, 267, 8700, 543, 4463, 267, 952, 649, 917, 922, 4320, 1287, 1109, 933, 666, 960, 856, 922, 2427, 3259, 676, 2921, 519, 13306, 3597, 540, 519, 4320, 610, 6998, 6000, 834, 1432, 1871, 16611, 676, 3294, 1269, 274, 259, 274, 2053, 786, 3160, 519, 2016, 4320, 286, 6231, 2971, 4518, 539, 1383, 692, 7462, 7151, 692, 288, 14328, 24388, 814, 513, 4320, 540, 1269, 20065, 259, 20065, 1109, 9492, 274, 267, 543, 814, 513, 3259, 540, 1269, 2420, 259, 2420, 1109, 1417, 22015, 637, 543, 8700, 540, 1269, 276, 259, 276, 1109, 1417, 22015, 637, 269, 1548, 568, 519, 4463, 540, 519, 24388, 2496, 13914, 281, 634, 4320, 568, 3259, 16611, 676, 8700, 16611, 676, 4463, 269, 1677, 1265, 606, 7164, 1871, 649, 991, 547, 7941, 519, 4320, 676, 519, 1634, 2418, 269, 1284, 666, 2328, 713, 18005, 538, 606, 3830, 543, 30337, 519, 3830, 547, 1265, 519, 4463, 780, 2710, 1384, 1269, 309, 259, 309, 1269, 284, 259, 284, 1269, 299, 24585, 654, 24585, 670, 259, 299, 9943, 310, 9943, 295, 3503, 519, 4542, 269, 1269, 20065, 259, 20065, 1269, 284, 259, 284, 1269, 2420, 24585, 276, 24585, 670, 259, 2420, 9943, 276, 9943, 295, 15240, 3482, 538, 1634, 2418, 269, 1269, 20065, 259, 20065, 1269, 284, 259, 284, 1269, 8099, 295, 259, 8099, 295, 22217, 1518, 519, 1318, 1688, 2427, 269, 4399, 2765, 346, 20065, 2410, 8099, 4151, 20065, 8099, 25991, 1269, 284, 259, 284, 4399, 2765, 346, 8099, 295, 2410, 8099, 4151, 8099, 295, 8099, 25991, 19147, 1312, 5011, 676, 1269, 8099, 259, 8099, 269, 1269, 295, 259, 295, 1269, 284, 259, 284, 1269, 274, 259, 274, 22217, 1518, 519, 9889, 1801, 692, 2171, 666, 1294, 602, 519, 24388, 814, 513, 4463, 540, 1269, 274, 259, 274, 4699, 780, 2971, 6657, 2243, 692, 7462, 7726, 476, 276, 692, 288, 24388, 814, 513, 4320, 540, 1269, 31275, 259, 31275, 4699, 274, 780, 2252, 621, 814, 513, 3490, 1858, 540, 1269, 8099, 259, 8099, 4699, 273, 267, 1265, 519, 4463, 540, 519, 24388, 269, 0, 305, 580, 573, 23301, 692, 427, 375, 379, 454, 305, 580, 573, 23301, 692, 763, 14461, 23301, 568, 513, 7344, 2203, 602, 568, 1031, 547, 2491, 15914, 1949, 269, 1323, 17062, 14461, 23301, 568, 513, 476, 274, 8820, 14461, 1843, 267, 971, 607, 513, 1283, 269, 1677, 7259, 971, 606, 1843, 538, 2230, 1614, 7285, 616, 2838, 269, 589, 2027, 14461, 23301, 568, 519, 5276, 23301, 799, 568, 513, 476, 273, 8820, 1843, 267, 8506, 1079, 7285, 547, 4766, 922, 10066, 269, 1323, 1383, 540, 513, 5276, 23301, 568, 513, 1019, 30061, 11140, 269, 2859, 2489, 6675, 899, 1216, 630, 553, 2096, 13240, 23301, 1070, 20342, 630, 22131, 13240, 23301, 1070, 610, 15655, 630, 4944, 17202, 23301, 264, 616, 476, 274, 8820, 267, 1294, 8760, 540, 6675, 780, 763, 5276, 23301, 692, 763, 5276, 14461, 23301, 2203, 5161, 540, 1079, 1448, 13999, 4092, 693, 6378, 9883, 689, 741, 4099, 540, 2527, 269, 634, 6378, 3845, 1063, 519, 1079, 13999, 543, 519, 2418, 540, 519, 13999, 616, 519, 1152, 4162, 540, 519, 14461, 2203, 269, 1717, 267, 585, 1082, 4890, 1019, 520, 15299, 713, 2203, 568, 1932, 25516, 2094, 9883, 616, 2356, 711, 4625, 6378, 269, 4856, 516, 2388, 593, 519, 14461, 2203, 666, 581, 1500, 547, 22771, 585, 1507, 7648, 538, 519, 3845, 269, 4634, 538, 971, 513, 2013, 519, 14461, 23301, 2203, 568, 513, 3730, 1448, 540, 22576, 630, 10045, 1054, 19195, 2203, 6393, 763, 8106, 5276, 14461, 23301, 692, 763, 8106, 5276, 23301, 5161, 540, 1079, 1448, 13999, 544, 272, 543, 544, 273, 630, 5976, 4389, 2527, 4399, 14153, 815, 1422, 2765, 31551, 318, 272, 332, 318, 273, 2410, 332, 318, 272, 266, 332, 318, 273, 4151, 264, 1142, 693, 513, 3845, 681, 269, 634, 23301, 568, 14461, 952, 681, 568, 4830, 540, 942, 269, 634, 10252, 14670, 923, 540, 513, 5276, 14461, 23301, 568, 2356, 4330, 676, 1797, 540, 20085, 8701, 10974, 267, 799, 1106, 513, 11282, 1062, 540, 681, 274, 269, 769, 519, 6323, 15007, 519, 10974, 616, 519, 1071, 2000, 520, 3363, 630, 7999, 603, 264, 5086, 4399, 9064, 22773, 8961, 519, 19976, 630, 1794, 574, 3578, 264, 5086, 4399, 12534, 12978, 20867, 259, 543, 519, 3845, 681, 269, 634, 7285, 14574, 519, 10066, 540, 519, 23301, 538, 2230, 269, 634, 15452, 1648, 570, 540, 519, 5276, 14461, 23301, 568, 2016, 676, 692, 259, 273, 307, 815, 1422, 14153, 681, 317, 273, 315, 15927, 1496, 315, 25346, 3189, 9064, 11892, 273, 266, 7268, 25346, 315, 12534, 12978, 315, 12101, 7562, 24592, 8203, 273, 315, 15927, 24557, 1422, 14153, 681, 317, 273, 1422, 15927, 7268, 25346, 3189, 9064, 4153, 282, 20939, 1422, 25346, 3189, 12534, 12978, 348, 1422, 19136, 264, 1422, 8218, 32413, 348, 476, 272, 1299, 476, 271, 8607, 476, 271, 1299, 1422, 7562, 317, 273, 1422, 9064, 8607, 1422, 754, 32413, 348, 1422, 8218, 32413, 348, 1422, 25346, 3189, 9064, 27874, 1422, 25346, 3189, 12534, 12978, 348, 1422, 754, 32413, 348, 815, 1422, 14153, 1422, 19136, 7268 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1592, 9852, 777, 17301, 267, 535, 18667, 14061, 20889, 263, 12887, 21875, 825, 2132, 1509, 692, 3698, 1820, 8548, 655, 9852, 655, 2187, 825, 1820, 263, 3299, 8339, 21860, 9852, 777, 19304, 267, 1509, 21875, 13872, 3698, 2196, 318, 32491, 9852, 655, 2187, 825, 26099, 815, 476, 271, 454, 825, 1247, 6936, 912, 1038, 26099, 815, 2196, 318, 13318, 2315, 9852, 655, 267, 26099, 994, 1038, 952, 26099, 568, 7183, 912, 2018, 2736, 692, 3698, 1566, 13892, 318, 5417, 9852, 655, 267, 26099, 2187, 825, 1509, 314, 332, 655, 314, 335, 322, 266, 274, 14963, 815, 1509, 314, 332, 655, 314, 335, 322, 266, 272, 14963, 1341, 1509, 314, 332, 655, 314, 335, 322, 266, 273, 27663, 825, 2132, 26099, 266, 275, 692, 3698, 1566, 13892, 8548, 738, 17586, 9852, 655, 267, 26099, 2187, 825, 1509, 314, 332, 655, 314, 335, 322, 266, 274, 14963, 815, 1509, 314, 332, 655, 314, 335, 322, 266, 272, 14963, 2608, 1509, 314, 332, 655, 314, 335, 322, 266, 273, 27663, 825, 2132, 26099, 266, 275, 692, 3698, 1566, 13892, 318, 1410, 527, 9852, 655, 267, 26099, 2187, 825, 2132, 7183, 692, 258, 16849, 7193, 540, 1985, 6044, 267, 610, 7183, 952, 1982, 1058, 14827, 454, 3698, 2196, 318, 13318, 2315, 9852, 655, 267, 26099, 2187, 825, 1566, 322, 3941, 815, 13634, 1038, 476, 272, 281, 1566, 13892, 318, 5417, 2676, 1038, 476, 273, 281, 1566, 13892, 8548, 738, 17586, 2676, 1038, 476, 4200, 281, 1566, 13892, 318, 1410, 527, 2676, 825, 7684, 692, 825, 1566, 13892, 815, 1509, 314, 335, 322, 2639, 825, 952, 1566, 13892, 711, 538, 1566, 322, 3941, 912, 1038, 6318, 1401, 4003, 6600, 262, 1103, 20777, 1566, 13892, 281, 2715, 641, 13892, 348, 5073, 825, 2132, 1566, 322, 3941, 314, 641, 13892, 28488, 332, 655, 267, 26099, 2020, 5035, 14840, 25284, 14818, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 2196, 15305, 4311, 267, 3403, 267, 3977, 2187, 1038, 2196, 318, 32491, 9272, 994, 1038, 1582, 27863, 9272, 267, 3977, 2020, 825, 1219, 1449, 318, 14725, 318, 32491, 4311, 2187, 1038, 1582, 269, 14725, 15305, 8443, 272, 267, 271, 267, 271, 267, 271, 267, 4200, 3910, 1496, 273, 267, 271, 267, 271, 267, 271, 267, 4200, 7481, 1038, 1582, 269, 14725, 15305, 8443, 273, 267, 274, 267, 271, 267, 274, 267, 4200, 3910, 1496, 273, 267, 274, 267, 271, 267, 277, 267, 4200, 7481, 1038, 1582, 269, 14725, 15305, 8443, 273, 267, 275, 267, 275, 267, 276, 267, 4200, 267, 271, 3910, 1496, 273, 267, 275, 267, 275, 267, 276, 267, 4200, 267, 280, 3199, 272, 7481, 1038, 1582, 269, 14725, 15305, 8443, 272, 267, 272, 267, 272, 267, 275, 267, 4200, 267, 276, 267, 277, 267, 271, 267, 4200, 3910, 1496, 1789, 267, 272, 267, 272, 267, 275, 267, 273, 267, 276, 267, 277, 267, 271, 267, 4200, 20285, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 263, 1410, 527, 25716, 2020, 825, 1976, 8548, 655, 815, 1224, 17750, 4590, 825, 585, 10902, 538, 2039, 263, 271, 267, 476, 1911, 2187, 1038, 585, 8231, 538, 2039, 263, 271, 267, 476, 1911, 2187, 2018, 1509, 815, 1976, 8548, 655, 6983, 4878, 4590, 2018, 1509, 314, 272, 316, 815, 10902, 454, 2018, 1509, 314, 273, 316, 815, 8231, 454, 2018, 2196, 318, 32491, 9852, 655, 2020, 2018, 952, 1509, 314, 271, 316, 2652, 476, 3422, 3445, 278, 736, 912, 3546, 1820, 263, 1911, 2608, 10902, 1341, 8231, 994, 0, 3698, 27353, 318, 30185, 16325, 2187, 825, 678, 339, 815, 1003, 454, 825, 1247, 1003, 13843, 476, 272, 912, 1038, 678, 339, 815, 678, 339, 2608, 630, 11133, 910, 476, 272, 994, 1038, 1003, 20699, 476, 272, 454, 825, 2132, 678, 339, 7531, 3698, 27353, 23631, 15479, 542, 16325, 2187, 825, 952, 1003, 10922, 476, 273, 912, 1038, 2132, 1003, 454, 825, 3116, 912, 1038, 2132, 27353, 23631, 15479, 542, 16325, 910, 476, 272, 264, 2608, 1003, 7531, 258, 9717, 513, 1297, 715, 2132, 519, 4994, 1871, 540, 519, 25828, 5311, 2676, 258, 1141, 519, 5311, 568, 912, 258, 476, 271, 267, 272, 267, 272, 267, 273, 267, 274, 267, 276, 267, 279, 267, 1724, 267, 2641, 267, 4097, 267, 4649, 267, 8660, 267, 13893, 19601, 16482, 3698, 4017, 20906, 318, 30185, 16325, 2187, 825, 513, 267, 536, 815, 476, 271, 267, 476, 272, 454, 825, 585, 9041, 538, 2039, 16325, 910, 476, 272, 2187, 1038, 513, 267, 536, 815, 536, 267, 513, 1341, 536, 454, 825, 2132, 536, 7531, 3698, 4017, 20906, 23631, 15479, 542, 16325, 2187, 825, 952, 1003, 2999, 476, 273, 912, 1038, 2132, 1003, 454, 825, 3116, 912, 1038, 2132, 4017, 20906, 23631, 15479, 542, 16325, 910, 476, 272, 264, 1341, 4017, 20906, 23631, 15479, 542, 16325, 910, 476, 273, 9239, 258, 25956, 513, 1599, 602, 10941, 525, 513, 5569, 1210, 454, 258, 21767, 543, 1287, 16571, 542, 2336, 3698, 9258, 23919, 318, 28375, 9272, 23919, 2187, 825, 20328, 23919, 815, 834, 4840, 825, 32102, 815, 1592, 9272, 23919, 994, 825, 1247, 32102, 912, 1038, 20328, 23919, 815, 20328, 23919, 1341, 32102, 21014, 4590, 825, 2132, 20328, 23919, 7531, 3698, 9258, 23919, 23631, 15479, 542, 9272, 23919, 2187, 825, 952, 7003, 9272, 23919, 264, 2652, 476, 272, 912, 1038, 2132, 3403, 23919, 454, 825, 3116, 912, 1038, 2132, 3403, 23919, 15631, 272, 316, 1341, 9258, 23919, 23631, 15479, 542, 9272, 23919, 11468, 268, 272, 7481, 0, 5814, 19523, 19638, 692, 3698, 1224, 8548, 777, 318, 16059, 10031, 825, 5727, 1607, 1599, 946, 519, 1224, 4786, 3977, 543, 838, 2830, 519, 1239, 547, 1079, 1592, 3490, 593, 519, 2197, 13892, 454, 1038, 543, 476, 18419, 519, 21336, 17473, 454, 1038, 1287, 1045, 5803, 519, 2301, 520, 601, 626, 547, 2285, 519, 3803, 1267, 454, 1038, 18452, 3898, 281, 322, 14394, 1422, 339, 630, 341, 728, 1355, 282, 12248, 787, 282, 12248, 787, 13892, 994, 1038, 19243, 3898, 281, 2301, 520, 601, 626, 17338, 272, 267, 4289, 273, 264, 3097, 4449, 11434, 1592, 272, 543, 1592, 273, 538, 3898, 630, 322, 14394, 267, 341, 728, 1355, 267, 12248, 787, 267, 12248, 787, 13892, 994, 825, 29185, 825, 1239, 17342, 2639, 825, 585, 1899, 538, 19523, 14714, 19734, 912, 1038, 8509, 626, 284, 1467, 14714, 8692, 14061, 20889, 19629, 339, 5602, 1038, 3877, 4289, 284, 339, 6374, 626, 314, 272, 4940, 29328, 14061, 20889, 2891, 282, 5602, 1038, 1007, 1467, 17342, 339, 6374, 626, 314, 271, 3910, 30956, 5661, 4289, 314, 271, 3910, 30956, 5661, 4289, 314, 272, 3910, 30956, 5661, 4289, 314, 273, 27663, 1038, 1239, 6910, 28956, 1467, 2020, 825, 1592, 272, 17342, 2639, 825, 1592, 273, 17342, 2639, 825, 454, 825, 1948, 838, 2830, 519, 1239, 547, 1079, 1592, 3490, 593, 519, 2197, 13892, 18419, 519, 21336, 17473, 3097, 825, 585, 4737, 538, 1239, 912, 2018, 952, 4737, 314, 274, 316, 2525, 257, 272, 257, 543, 4737, 711, 538, 1592, 272, 912, 3546, 1592, 272, 6910, 21405, 994, 2018, 8640, 4737, 314, 274, 316, 2525, 257, 273, 257, 543, 4737, 711, 538, 1592, 273, 912, 3546, 1592, 273, 6910, 21405, 994, 825, 2301, 520, 601, 626, 17338, 272, 267, 4289, 273, 2020, 692, 3698, 2301, 520, 601, 626, 17338, 272, 267, 4289, 273, 2187, 825, 5727, 1607, 1599, 1224, 519, 8638, 689, 1224, 8548, 777, 318, 16059, 543, 524, 659, 738, 324, 519, 1267, 454, 1038, 18452, 3898, 281, 4289, 272, 267, 4289, 273, 454, 1038, 19243, 3898, 281, 8597, 326, 800, 282, 20135, 281, 2338, 282, 1086, 550, 538, 2197, 273, 269, 3097, 7386, 454, 825, 8173, 825, 7121, 338, 17342, 2639, 825, 3708, 582, 2643, 626, 17342, 2639, 825, 3803, 8217, 17342, 2639, 825, 1007, 8217, 273, 17342, 2639, 825, 2034, 6831, 14394, 338, 17342, 6540, 825, 1948, 1205, 519, 2197, 2012, 540, 2197, 272, 543, 2197, 273, 454, 825, 2197, 272, 284, 4289, 272, 314, 271, 6012, 273, 2639, 825, 2197, 273, 284, 4289, 273, 314, 271, 6012, 273, 6540, 825, 1948, 1265, 799, 4737, 540, 630, 341, 8721, 539, 267, 7121, 264, 540, 1592, 273, 568, 849, 538, 1592, 272, 454, 825, 585, 4737, 538, 1592, 273, 912, 1038, 4737, 314, 273, 24557, 12248, 787, 272, 454, 1038, 4737, 314, 274, 316, 6889, 272, 4840, 1038, 952, 4737, 538, 1592, 272, 912, 2018, 1007, 8217, 273, 6910, 21405, 994, 2018, 2034, 6831, 14394, 338, 6910, 21405, 314, 271, 20285, 825, 1948, 2322, 782, 519, 6688, 538, 1592, 272, 1927, 607, 606, 5044, 8931, 825, 585, 1899, 538, 1592, 272, 912, 1038, 7121, 338, 6910, 263, 1467, 314, 271, 20285, 825, 1948, 1265, 519, 2189, 6688, 454, 825, 3708, 582, 2643, 626, 284, 3553, 6262, 14394, 338, 2020, 825, 1948, 585, 1169, 7121, 1265, 519, 1293, 1297, 538, 1312, 7121, 338, 543, 2034, 6831, 14394, 338, 454, 825, 1948, 865, 649, 723, 519, 2053, 540, 3381, 7678, 532, 538, 519, 1312, 1079, 2197, 1759, 593, 519, 7121, 454, 825, 1948, 5173, 519, 3803, 1267, 543, 4558, 519, 3977, 607, 2838, 3898, 538, 3803, 8217, 454, 825, 585, 524, 622, 538, 3708, 582, 2643, 626, 912, 1038, 1293, 15893, 284, 322, 14394, 338, 29644, 6262, 622, 994, 1038, 2034, 15893, 284, 16149, 6831, 14394, 338, 29644, 6262, 622, 994, 1038, 2600, 284, 16149, 15893, 11305, 870, 15893, 265, 1911, 454, 1038, 1007, 1467, 284, 322, 622, 266, 21968, 257, 266, 1598, 6262, 870, 15893, 11924, 21968, 257, 266, 1598, 263, 1037, 263, 704, 1417, 267, 272, 4297, 266, 257, 260, 4840, 1038, 3803, 8217, 6910, 28956, 1467, 2020, 825, 1948, 1820, 519, 1267, 547, 519, 3977, 3758, 454, 825, 585, 3688, 538, 3803, 8217, 912, 1038, 3877, 284, 19477, 21858, 2891, 282, 5602, 1038, 1820, 5560, 564, 5661, 314, 271, 27994, 21968, 2698, 281, 834, 266, 30956, 5661, 314, 272, 27994, 21968, 834, 266, 30956, 5661, 314, 273, 27994, 257, 538, 834, 266, 12248, 787, 273, 266, 257, 315, 333, 257, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1224, 8548, 777, 318, 16059, 4590, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 32046, 593, 774, 340, 2904, 476, 2764, 476, 736, 281, 866, 281, 4391, 476, 1708, 271, 5897, 287, 10461, 281, 13924, 753, 16852, 14977, 698, 328, 1477, 18851, 1477, 1012, 11730, 540, 513, 15214, 12106, 1477, 5814, 11885, 607, 5286, 1477, 3698, 562, 8967, 1877, 24127, 5560, 574, 267, 621, 337, 8029, 825, 1293, 18425, 318, 4944, 1877, 815, 476, 271, 5897, 825, 585, 1293, 538, 2039, 263, 527, 337, 8029, 1038, 11282, 815, 5286, 20179, 26509, 6134, 8987, 272, 269, 271, 267, 476, 272, 269, 271, 267, 3897, 3418, 1038, 2343, 284, 11282, 2608, 11282, 1477, 1038, 3845, 815, 5286, 27904, 3799, 768, 3418, 1038, 952, 3845, 2999, 476, 272, 269, 271, 6769, 2018, 1293, 18425, 318, 4944, 1877, 6834, 476, 272, 5897, 825, 2132, 630, 273, 269, 271, 1262, 323, 574, 264, 2608, 630, 12248, 18425, 318, 4944, 1877, 1315, 621, 337, 3418, 2745, 3488, 22704, 540, 17781, 284, 3299, 562, 8967, 1877, 24127, 263, 273, 267, 476, 1911, 1822, 17903, 2745, 3488, 24127, 540, 476, 1015, 5937, 14523, 619, 335, 1877, 284, 3299, 562, 8967, 1877, 24127, 263, 1015, 267, 476, 1911, 1822, 4297, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 12163, 14756, 503, 12916, 510, 4970, 353, 14748, 30837, 508, 419, 358, 374, 476, 7511, 421, 497, 378, 23989, 8147, 23989, 419, 353, 374, 4970, 353, 14748, 30837, 508, 420, 368, 509, 7511, 10533, 368, 12255, 12486, 14395, 481, 10524, 361, 30006, 493, 12916, 491, 12255, 21211, 421, 25693, 15159, 418, 490, 487, 419, 483, 356, 20881, 484, 31365, 7511, 25913, 19764, 493, 11858, 502, 417, 480, 357, 7511, 8147, 23946, 370, 4970, 498, 30006, 493, 14748, 420, 488, 480, 30536, 9463, 359, 420, 25693, 11858, 502, 417, 480, 357, 13601, 12916, 491, 12255, 21211, 12486, 692, 13644, 371, 12916, 510, 16533, 484, 4970, 353, 14748, 12255, 25203, 372, 20693, 510, 8147, 23946, 370, 23284, 25203, 372, 12571, 490, 25051, 351, 19764, 493, 13213, 498, 18713, 508, 22047, 23989, 419, 353, 374, 25520, 7511, 421, 497, 378, 23989, 12486, 692, 12916, 510, 23746, 23284, 417, 479, 485, 18777, 378, 30522, 353, 29072, 12255, 21211, 476, 271, 476, 18263, 489, 14035, 500, 8147, 30244, 4970, 353, 14748, 12255, 421, 25693, 21251, 25263, 504, 23284, 476, 271, 19764, 478, 14035, 368, 12486, 692, 23521 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 910, 324, 269, 276, 630, 529, 6697, 547, 476, 272, 269, 13301, 269, 607, 789, 4766, 519, 7274, 540, 1978, 17205, 269, 616, 2687, 547, 519, 1455, 11673, 789, 1683, 269, 276, 1040, 3534, 1073, 268, 571, 1019, 269, 634, 840, 6570, 632, 568, 1031, 1063, 1984, 11252, 2048, 332, 11669, 685, 543, 513, 10902, 1373, 18886, 281, 796, 1984, 11252, 632, 546, 6759, 331, 4100, 2048, 272, 2929, 9489, 9957, 1401, 269, 956, 316, 2048, 1492, 2352, 1568, 685, 634, 28944, 2630, 269, 1547, 610, 538, 513, 27901, 538, 519, 13737, 1106, 269, 524, 1329, 1984, 2158, 632, 4356, 656, 525, 2048, 1911, 6634, 11317, 9957, 25206, 1606, 559, 316, 2048, 534, 4277, 1433, 685, 2048, 320, 2352, 960, 685, 11968, 5391, 4592, 703, 31013, 656, 525, 314, 32221, 5391, 268, 4592, 538, 14482, 3146, 1606, 534, 2389, 525, 316, 2048, 1492, 4277, 2835, 685, 11968, 1073, 6652, 546, 881, 3796, 1496, 32221, 1073, 268, 6652, 1019, 269, 1039, 606, 910, 338, 610, 910, 525, 269, 524, 4532, 340, 31980, 586, 19448, 533, 1221, 6652, 11313, 7906, 10007, 9957, 1677, 1106, 519, 12683, 269, 769, 1603, 856, 5053, 27766, 269, 862, 553, 616, 1031, 538, 1747, 540, 5712, 269, 13301, 269, 5530, 873, 1134, 543, 1451, 547, 4766, 538, 5053, 281, 476, 272, 563, 1889, 268, 549, 316, 1496, 572, 3766, 684, 28273, 316, 1496, 614, 7308, 268, 549, 316, 1496, 330, 8705, 3562, 316, 1496, 7219, 3562, 316, 1496, 572, 802, 3562, 316, 1496, 572, 335, 2389, 328, 269, 1889, 268, 571, 737, 5055, 5498, 316, 1496, 601, 1768, 268, 750, 1612, 268, 571, 4732, 693, 519, 1439, 540, 1142, 2262, 269, 1247, 519, 1547, 5055, 316, 1496, 320, 6122, 269, 2215, 3266, 5302, 1495, 334, 1768, 1356, 334, 524, 22115, 334, 844, 20041, 694, 868, 334, 521, 2946, 696, 24982, 12354, 822, 334, 562, 8576, 334, 26955, 322, 24982, 25460, 8784, 898, 256, 1496, 3064, 269, 3534, 316, 2048, 28049, 685, 2048, 23389, 685, 2048, 300, 1410, 4618, 685, 2048, 6635, 7217, 15687, 685, 1547, 2006, 316, 22176, 2006, 320, 1496, 1889, 3620, 328, 268, 6390, 5991, 334, 316, 5165, 545, 3570, 1496, 541, 10275, 1156, 2389, 328, 6230, 334, 316, 1677, 31418, 1176, 5457, 3245, 519, 2262, 3119, 2495, 1101, 19171, 547, 2296, 2262, 2034, 2422, 782, 28375, 281, 3791, 543, 1768, 1356, 334, 19923, 520, 549, 568, 476, 275, 269, 8072, 1084, 685, 2048, 3240, 1101, 1362, 685, 2048, 1492, 3791, 5037, 685, 21007, 2215, 5028, 804, 848, 4432, 1768, 1356, 533, 5451, 337, 571, 325, 334, 1496, 14741, 17028, 269, 2817, 640, 269, 1452, 1913, 1533, 519, 22874, 610, 1747, 540, 5169, 269, 4256, 12683, 3029, 616, 2813, 676, 4946, 1547, 338, 610, 1547, 525, 269, 1879, 1031, 607, 851, 540, 4408, 269, 7224, 316, 1488, 1326, 2088, 1496, 525, 1790, 320, 268, 5500, 334, 269, 543, 602, 789, 2049, 1354, 519, 17205, 269, 476, 274, 269, 334, 1106, 568, 24940, 6230, 334, 316, 1496, 758, 2389, 320, 8686, 334, 316, 1496, 7224, 269, 519, 2262, 519, 568, 711, 12261, 538, 5053, 269, 8745, 476, 272, 560, 476, 273, 526, 476, 274, 6113, 476, 275, 628, 476, 276, 628, 476, 277, 628, 476, 278, 628, 476, 279, 628, 476, 280, 628, 476, 1015, 628, 1401, 269, 21634, 6559, 21540, 1495, 334, 269, 273, 269, 971, 607, 21634, 6559, 4083, 630, 1348, 607, 2048, 293, 601, 6559, 519, 2034, 685, 1040, 3534, 316, 1496, 1889, 3620, 328, 268, 6390, 268, 3534, 316, 1496, 541, 10275, 1156, 2389, 328, 269, 8754, 18502, 269, 2742, 8807, 334, 316, 11872, 281, 12339, 24100, 3029, 540, 519, 1657, 29039, 2338, 946, 519, 21879, 1547, 18103, 1400, 10606, 269, 1358, 616, 12683, 1242, 676, 4946, 1547, 634, 3029, 29194, 2048, 14140, 685, 543, 1768, 1356, 2048, 628, 2273, 685, 666, 581, 1031, 1354, 24940, 13737, 17205, 269, 711, 1310, 269, 5457, 602, 789, 849, 3858, 609, 519, 17205, 1373, 9168, 538, 2474, 540, 4008, 543, 1297, 269, 557, 5991, 334, 316, 1496, 1372, 6253, 328, 269, 25385, 320, 10722, 565, 22176, 2006, 11204, 334, 14861, 3626, 1496, 525, 1790, 320, 268, 5500, 565, 316, 25385, 320, 10722, 7637, 1496, 320, 6122, 269, 3092, 1040, 1247, 524, 22115, 334, 568, 476, 275, 628, 3245, 5824, 30883, 639, 2048, 325, 633, 9110, 1091, 685, 14520, 3587, 3023, 1341, 547, 3245, 5824, 31027, 655, 2048, 572, 1597, 685, 3245, 5824, 12354, 822, 639, 2048, 324, 12915, 685, 3245, 5824, 562, 913, 332, 2048, 333, 710, 685, 3245, 5259, 632, 6390, 269, 5901, 538, 2247, 602, 519, 3490, 1106, 630, 23719, 21879, 264, 543, 1547, 2034, 269, 1452, 21371, 5815, 519, 1931, 538, 799, 1945, 4386, 630, 14140, 18502, 1106, 568, 519, 21522, 11218, 563, 3534, 1073, 268, 571, 1965, 1790, 320, 268, 5500, 334, 2000, 320, 316, 13121, 5391, 4592, 1965, 11985, 10722, 3421, 1496, 323, 657, 5391, 268, 4592, 1965, 1790, 320, 268, 5500, 334, 269, 543, 2408, 1310, 519, 17205, 269, 2048, 26211, 685, 2048, 20791, 685, 2048, 628, 514, 685, 2048, 572, 15383, 685, 2048, 1872, 569, 685, 2048, 335, 3233, 685, 2048, 21112, 685, 2048, 338, 869, 685, 2048, 3832, 777, 685, 2048, 9767, 978, 262, 1520, 16633, 602, 3277, 547, 2681, 616, 7396, 2630, 281, 1547, 2523, 950, 596, 1616, 707, 19700, 547, 4605, 856, 1018, 596, 2461, 6158, 827, 269, 5633, 316, 1496, 532, 3766, 548, 1606, 320, 316, 1496, 325, 3757, 7308, 1606, 320, 316, 1496, 3873, 1790, 334, 16250, 1606, 320, 316, 1496, 334, 2000, 534, 11546, 1606, 320, 316, 1496, 1602, 2389, 340, 269, 613, 1606, 320, 316, 1496, 514, 28273, 16250, 1606, 320, 316, 1496, 25206, 269, 956, 316, 13121, 1073, 6652, 1965, 11985, 10722, 15614, 1496, 323, 657, 1073, 268, 6652, 1965, 1790, 320, 268, 5500, 334, 2000, 553, 316, 476, 275, 269, 15605, 316, 2672, 21289, 1496, 532, 3766, 956, 316, 16016, 956, 320, 1496, 325, 3757, 2389, 1127, 316, 25845, 320, 1496, 3873, 1790, 334, 268, 5886, 316, 808, 777, 2158, 320, 1496, 334, 2000, 534, 17393, 316, 4591, 663, 525, 320, 1496, 1602, 2389, 340, 20193, 6501, 334, 5696, 553, 850, 25123, 661, 326, 760, 857, 334, 2672, 714, 334, 769, 6921, 15530, 8071, 15530, 808, 777, 517, 15530, 4591, 663, 15530, 9929, 340, 15530, 1473, 517, 15530, 27208, 1496, 328, 268, 2145, 3917, 320, 5991, 334, 316, 7969, 320, 1496, 3630, 1606, 328, 269, 972, 616, 5053, 21371, 540, 22874, 602, 798, 711, 723, 2189, 21522, 3029, 269, 1325, 1729, 700, 14417, 9835, 324, 717, 867, 334, 10507, 10964, 1729, 12844, 17010, 22656, 4437, 26408, 681, 5451, 3671, 334, 2961, 334, 966, 773, 14765, 1496, 531, 3562, 316, 1496, 24882, 269, 2998, 316, 1496, 28699, 11546, 316, 1496, 326, 528, 28273, 316, 1496, 525, 1532, 601, 3562, 316, 1496, 2692, 5991, 328, 3562, 316, 1496, 686, 10275, 334, 316, 1496, 2421, 523, 316, 1496, 571, 1790, 328, 28273, 316, 1496, 6390, 268, 549, 316, 1496, 341, 6614, 269, 2471, 316, 9929, 1132, 320, 1496, 514, 28273, 268, 5886, 316, 10582, 320, 1496, 25206, 269, 1597, 316, 2048, 869, 269, 7381, 685, 2048, 14075, 685, 2048, 26171, 685, 2048, 325, 520, 685, 2048, 16435, 2658, 685, 2048, 2041, 2246, 3814, 685, 2048, 5341, 685, 2048, 16591, 685, 2048, 9724, 685, 2048, 19763, 685, 2048, 1245, 685, 645, 26953, 23634, 334, 3212, 4302, 25123, 5548, 326, 5964, 11557, 344, 3171, 334, 623, 984, 516, 5689, 30766, 334, 4446, 6737, 808, 8576, 1496, 9346, 3620, 334, 316, 1496, 330, 528, 3562, 316, 1496, 701, 268, 651, 268, 5500, 334, 316, 1496, 23437, 3766, 320, 28273, 316, 1496, 572, 3620, 328, 316, 1496, 10623, 3917, 334, 316, 1496, 335, 984, 3146, 316, 1496, 7356, 316, 1496, 6352, 3562, 316, 1496, 9346, 268, 571, 3562, 316, 1496, 14833, 269, 548, 268, 5500, 320, 316, 1496, 324, 268, 1222, 6253, 807, 316, 1496, 1873, 328, 269, 1619, 971, 607, 281, 6480, 15606, 684, 573, 1619, 2052, 611, 1329, 572, 1401, 269, 14833, 316, 2048, 14683, 269, 548, 268, 5500, 334, 316, 5696, 553, 850, 29823, 1496, 324, 268, 1222, 6253, 1470, 316, 661, 326, 760, 25556, 1496, 1873, 328, 269, 1496, 525, 2389, 320, 1673, 657, 268, 340, 5991, 328, 1673, 523, 5498, 316, 1496, 6390, 268, 3534, 1673, 344, 523, 5498, 316, 2048, 13563, 685, 2048, 4692, 6598, 685, 2048, 320, 5053, 1433, 685, 2048, 320, 5053, 960, 685, 2048, 18314, 5053, 2835, 685, 2048, 18314, 5053, 1568, 685, 796, 5391, 549, 25385, 320, 10722, 565, 19448, 1073, 571, 1965, 11985, 10722, 7637, 1496, 684, 5391, 268, 549, 1965, 1790, 320, 268, 5500, 565, 316, 1496, 340, 269, 1452, 616, 1913, 596, 946, 547, 4766, 17205, 269, 2993, 1790, 328, 5991, 334, 316, 21309, 2088, 1496, 328, 268, 2145, 3917, 320, 268, 3534, 316, 1496, 3630, 1606, 328, 269, 29149, 1520, 16633, 269, 1358, 3858, 609, 519, 17205, 789, 12189, 538, 2474, 540, 1297, 543, 4008, 269, 1452, 616, 519, 1913, 602, 1439, 538, 1547, 2993, 1790, 328, 268, 3534, 316, 2048, 2005, 6501, 685, 2048, 24154, 7588, 1014, 685, 2048, 292, 5118, 1014, 685, 2048, 18933, 1170, 685, 2048, 12626, 685, 2048, 23210, 685, 2048, 30153, 685, 2048, 29804, 1633, 685, 2048, 21545, 1872, 12956, 685, 2048, 5715, 2158, 1014, 685, 2048, 23742, 760, 3626, 685, 1717, 563, 569, 334, 316, 1496, 3534, 268, 3757, 269, 3873, 316, 1496, 15879, 268, 571, 28273, 316, 1496, 15879, 3146, 5991, 334, 316, 2048, 18872, 685, 2048, 19990, 685, 2048, 344, 3641, 685, 2048, 528, 1052, 685, 2048, 20580, 921, 685, 2048, 323, 1046, 685, 2349, 534, 1723, 10162, 14765, 7638, 1372, 28266, 631, 1551, 11252, 1849, 16619, 1496, 4565, 534, 10275, 334, 316, 1496, 549, 3620, 334, 316, 1496, 591, 11546, 316, 1496, 549, 1606, 320, 316, 1496, 3405, 268, 1258, 316, 1496, 330, 5055, 268, 549, 316, 2048, 19009, 685, 2048, 1042, 685, 2048, 13582, 685, 2048, 335, 1074, 685, 2048, 321, 3497, 685, 2048, 2775, 685, 1520, 16633, 602, 3277, 547, 6492, 543, 1426, 616, 7396, 2630, 281, 667, 592, 576, 2549, 14417, 5548, 545, 3930, 334, 2836, 1304, 324, 6184, 6403, 3671, 334, 1496, 323, 592, 12991, 1122, 549, 10897, 592, 2549, 541, 21034, 715, 15546, 10937, 5651, 5964, 2859, 7224, 1496, 10864, 268, 549, 316, 1496, 320, 22271, 592, 316, 1496, 320, 2173, 320, 268, 686, 269, 25334, 612, 633, 543, 23227, 894, 1520, 16633, 13885, 334, 316, 1496, 21542, 2000, 320, 28273, 316, 1496, 7032, 10275, 534, 14482, 316, 1496, 325, 686, 269, 630, 8269, 518, 547, 3817, 476, 2767, 547, 476, 2764, 269, 4303, 476, 275, 585, 519, 5750, 540, 5053, 21770, 264, 1452, 21371, 2097, 1354, 519, 17205, 789, 12189, 13885, 334, 316, 2048, 338, 712, 685, 2048, 15680, 1399, 685, 2048, 4944, 5390, 685, 2048, 322, 1245, 685, 476, 276, 269, 634, 4865, 633, 543, 3087, 894, 21770, 649, 723, 6594, 4505, 538, 713, 1576, 666, 581, 2808, 21371, 950, 789, 1599, 607, 1110, 13294, 540, 17205, 269, 2147, 547, 519, 1259, 789, 616, 1031, 538, 2296, 281, 11465, 8732, 320, 2048, 3240, 2777, 31677, 316, 2048, 338, 11548, 685, 1496, 320, 2173, 541, 30559, 316, 2048, 4226, 614, 685, 1496, 1372, 2000, 328, 6253, 14623, 27940, 316, 2048, 23437, 5534, 685, 1496, 32039, 3917, 523, 14482, 316, 2048, 14653, 685, 1496, 514, 1606, 328, 1790, 328, 28273, 316, 2048, 339, 770, 6804, 685, 3397, 26369, 6428, 5964, 20266, 14397, 674, 26369, 1496, 698, 268, 686, 10200, 1965, 657, 9279, 1127, 2048, 29006, 6517, 685, 4586, 11034, 532, 873, 609, 968, 296, 2661, 693, 2560, 892, 610, 968, 296, 786, 2097, 936, 1310, 2560, 892, 28611, 269, 543, 1711, 3347, 1063, 873, 269, 2953, 6165, 540, 840, 21752, 568, 2556, 547, 1451, 538, 1931, 547, 581, 2111, 547, 4431, 5265, 269, 634, 1739, 1592, 2982, 519, 1034, 1455, 3283, 2059, 609, 930, 2596, 1806, 281, 2776, 21752, 513, 1496, 1695, 316, 1884, 525, 632, 1496, 534, 2389, 525, 632, 316, 536, 26953, 1496, 9346, 3620, 334, 316, 524, 2075, 320, 632, 1496, 750, 268, 6390, 632, 316, 598, 1496, 330, 517, 316, 15333, 1496, 330, 517, 13652, 316, 632, 1496, 1372, 316, 12791, 2048, 1729, 685, 2048, 520, 685, 2048, 2421, 1797, 540, 685, 2048, 29592, 8072, 2048, 8974, 685, 2048, 333, 792, 685, 2048, 5976, 685, 2048, 28785, 560, 685, 6201, 513, 3288, 524, 328, 644, 611, 513, 15255, 512, 637, 586, 2923 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6124, 1382, 4947, 856, 540, 772, 6195, 781, 744, 16988, 12298, 13464, 949, 1491, 519, 1699, 1412, 326, 1245, 3044, 262, 585, 2295, 17901, 547, 513, 1007, 1377, 540, 10727, 563, 288, 2319, 540, 3173, 693, 772, 289, 4596, 781, 9839, 4406, 557, 13437, 6997, 630, 295, 309, 12195, 264, 814, 2919, 513, 1259, 547, 2087, 2949, 1973, 2095, 998, 519, 17901, 267, 865, 519, 1374, 540, 7344, 2295, 17901, 786, 811, 5702, 6474, 519, 1483, 3364, 563, 257, 8601, 811, 982, 476, 2412, 1296, 540, 1382, 267, 649, 616, 1869, 31743, 519, 3804, 540, 2870, 7344, 2295, 17901, 602, 1685, 9846, 543, 16900, 3330, 519, 1480, 1560, 2437, 6941, 3220, 269, 670, 14508, 15011, 13758, 328, 267, 606, 12314, 7548, 693, 519, 3427, 540, 7177, 543, 1291, 11001, 585, 519, 22671, 12195, 269, 834, 763, 1259, 1973, 12599, 998, 519, 1560, 568, 1360, 2189, 547, 513, 1268, 781, 17550, 267, 865, 513, 1412, 821, 20695, 13352, 782, 262, 11896, 814, 2141, 1044, 513, 1483, 4161, 4799, 300, 2129, 13758, 328, 267, 2059, 609, 25719, 2875, 1488, 11017, 13225, 1638, 541, 267, 814, 2919, 606, 5499, 7344, 23925, 2378, 2280, 602, 6087, 519, 7344, 2295, 11896, 547, 1599, 1175, 899, 519, 1483, 3364, 269, 589, 23925, 2378, 2280, 11896, 4534, 1079, 12931, 1844, 983, 6978, 7410, 602, 22141, 593, 31963, 4534, 568, 513, 7344, 24891, 602, 2636, 5812, 1973, 32704, 543, 5849, 519, 2095, 568, 538, 835, 4287, 269, 383, 373, 454, 2414, 1224, 519, 2407, 2376, 267, 4945, 1934, 269, 0, 11321, 476, 1556, 267, 476, 1708, 272, 5788, 715, 27197, 32732, 2600, 540, 519, 3441, 729, 11911, 547, 519, 23329, 269, 634, 3790, 4611, 689, 519, 13091, 543, 23329, 538, 3567, 4805, 941, 6059, 693, 1269, 13136, 5479, 20430, 269, 634, 3441, 2306, 519, 476, 1001, 272, 4279, 5101, 3567, 13091, 543, 23329, 519, 1034, 7199, 2067, 9568, 538, 1686, 563, 297, 7246, 5106, 958, 21697, 20381, 543, 15027, 2534, 2429, 519, 2197, 543, 2152, 4143, 21855, 543, 1344, 547, 11574, 3441, 3361, 676, 12469, 1644, 547, 16767, 267, 20016, 600, 529, 543, 15027, 26706, 269, 32495, 820, 3892, 1472, 3567, 630, 3422, 271, 268, 1001, 272, 264, 16424, 540, 32495, 1389, 543, 3038, 1707, 540, 6176, 269, 1677, 6895, 16767, 267, 808, 7246, 13333, 606, 13091, 8343, 3060, 16922, 540, 827, 476, 1220, 17688, 21106, 543, 476, 7785, 20381, 8515, 7397, 563, 13356, 476, 1789, 267, 476, 1708, 271, 5788, 476, 276, 269, 272, 2173, 1725, 3363, 844, 820, 16716, 3567, 1323, 13091, 7893, 476, 276, 269, 272, 593, 519, 6762, 614, 4336, 13351, 3567, 781, 594, 8663, 13403, 840, 2739, 675, 593, 13723, 267, 519, 4365, 8116, 1767, 267, 4946, 602, 1100, 23329, 9963, 729, 9783, 563, 305, 2358, 909, 547, 476, 1789, 3952, 630, 1015, 7397, 264, 1657, 519, 23795, 267, 519, 23329, 2813, 676, 713, 13091, 729, 4767, 2429, 513, 2647, 1858, 2059, 519, 7256, 540, 3567, 781, 5032, 543, 3361, 3441, 689, 17578, 15843, 24499, 547, 717, 9655, 690, 1177, 4673, 269, 476, 1911, 1004, 4503, 741, 2729, 547, 519, 23329, 267, 1519, 23772, 718, 4070, 4600, 543, 11824, 2998, 619, 269, 769, 2698, 267, 476, 10441, 1004, 941, 7166, 563, 9802, 476, 4905, 267, 476, 1708, 272, 5788, 631, 12011, 698, 328, 840, 2739, 675, 13455, 5230, 3441, 538, 519, 14042, 476, 280, 269, 272, 9588, 844, 820, 543, 23329, 602, 2451, 811, 982, 476, 1240, 267, 1822, 1004, 4666, 543, 3361, 513, 15835, 6658, 693, 519, 30738, 2313, 9874, 667, 2967, 24734, 6046, 2030, 563, 268, 476, 5379, 3813, 454, 268, 3967, 24380, 1676, 4132, 338, 454, 1805, 3994, 844, 820, 695, 1389, 3567, 282, 5634, 7063, 267, 1100, 2101, 3441, 269, 21041, 2776, 12401, 4741, 269, 1879, 596, 3643, 1022, 3896, 267, 621, 949, 4558, 610, 23074, 1344, 593, 707, 11422, 267, 6140, 538, 519, 1106, 540, 12897, 269, 901, 1344, 1522, 581, 827, 596, 267, 707, 7375, 610, 707, 3926, 543, 568, 6140, 1031, 547, 1118, 519, 3135, 960, 607, 596, 2503, 621, 547, 563, 5415, 982, 476, 1428, 267, 4335, 1004, 5747, 269, 634, 23329, 849, 16094, 524, 23774, 548, 546, 519, 5989, 540, 519, 2197, 269, 769, 1840, 547, 519, 5215, 540, 10032, 5321, 267, 4213, 267, 9897, 267, 543, 7841, 1811, 267, 519, 23329, 3361, 519, 15835, 6658, 540, 1614, 6046, 19720, 521, 693, 519, 30738, 2313, 9874, 667, 2967, 24734, 17437, 5295, 7233, 269, 0, 18850, 2683, 610, 29881, 1216, 666, 581, 1031, 1510, 14495, 1101, 269, 2353, 824, 1216, 1058, 581, 23017, 1101, 267, 1519, 782, 824, 4420, 1194, 1216, 543, 782, 7148, 1216, 563, 1432, 4523, 952, 596, 14974, 30341, 1216, 888, 3528, 14495, 519, 1216, 267, 6886, 543, 824, 23606, 616, 6569, 267, 6028, 519, 30341, 1216, 538, 513, 2048, 335, 25033, 685, 1533, 269, 5221, 540, 713, 267, 930, 1004, 3494, 6704, 30341, 1216, 666, 948, 2973, 572, 519, 1560, 689, 11991, 6464, 563, 9989, 30341, 1216, 1011, 1712, 950, 23017, 888, 291, 3041, 290, 4785, 31064, 269, 5940, 2683, 1216, 786, 2760, 14974, 269, 898, 786, 11613, 2706, 17742, 538, 519, 17196, 543, 1011, 1712, 538, 707, 3068, 563, 4692, 30341, 1216, 1332, 4551, 888, 4517, 2899, 621, 779, 8118, 267, 581, 2386, 547, 2673, 621, 909, 1134, 1310, 946, 269, 15742, 17900, 666, 1332, 1256, 538, 8770, 1790, 3233, 30341, 1216, 563, 3674, 6704, 30341, 1216, 1434, 585, 707, 14401, 888, 18850, 2683, 1216, 18274, 525, 519, 1560, 998, 5009, 2635, 8459, 1599, 563, 3963, 14495, 568, 2838, 609, 30341, 1216, 888, 1607, 1570, 2636, 5714, 547, 979, 998, 267, 855, 621, 18788, 6070, 543, 23606, 269, 5940, 20746, 1630, 2812, 519, 1216, 267, 543, 1287, 7873, 5151, 519, 9252, 1394, 883, 513, 5277, 547, 4894, 23606, 543, 6886, 563, 3674, 2826, 320, 1216, 30341, 888, 19322, 320, 22012, 1216, 568, 711, 519, 1482, 607, 30341, 1216, 269, 5940, 2683, 18788, 782, 519, 6886, 267, 855, 2826, 320, 1175, 12086, 621, 585, 6492, 543, 9329, 267, 9427, 20841, 676, 1210, 513, 23315, 6882, 269, 31598, 2826, 320, 22012, 1216, 1131, 1869, 2014, 519, 3043, 7777, 7452, 2094, 6886, 616, 1869, 538, 519, 1216, 563, 3963, 596, 1058, 2760, 17196, 1216, 888, 12850, 630, 29671, 264, 1058, 2760, 581, 12699, 538, 513, 17196, 14089, 269, 2560, 1403, 519, 1216, 568, 536, 22981, 610, 20220, 1042, 267, 621, 779, 2614, 540, 513, 8710, 547, 2014, 519, 18616, 547, 6385, 1106, 543, 519, 1267, 568, 606, 1011, 5317, 5277, 602, 568, 9470, 3429, 3905, 563, 3963, 596, 12582, 1406, 14974, 1216, 538, 519, 17196, 888, 2467, 723, 1044, 5359, 540, 1004, 1373, 13676, 950, 1210, 513, 17196, 547, 14974, 1216, 269, 901, 568, 1317, 1216, 12699, 538, 513, 17196, 14089, 666, 581, 12699, 1657, 922, 3339, 14495, 1448, 630, 27273, 515, 730, 1040, 2560, 634, 1216, 666, 849, 1011, 1712, 952, 596, 1039, 513, 8869, 267, 971, 607, 6995, 267, 610, 606, 1843, 547, 13489, 621, 563, 3674, 14580, 8491, 1216, 3983, 585, 596, 888, 22517, 4979, 1216, 538, 519, 17196, 568, 10375, 543, 2922, 269, 634, 1505, 568, 1655, 1031, 950, 8022, 1507, 9424, 540, 1216, 267, 607, 14580, 2314, 666, 15814, 3002, 19514, 569, 269, 4340, 547, 1699, 1382, 267, 1100, 2942, 1072, 2360, 616, 2404, 609, 14495, 1216, 538, 519, 17196, 563, 9989, 8118, 30341, 1216, 979, 3983, 888, 18850, 2683, 1216, 267, 899, 824, 2010, 540, 1216, 267, 1281, 711, 979, 3983, 610, 27253, 269, 2560, 1924, 267, 1247, 707, 1216, 786, 711, 979, 3983, 267, 621, 666, 1831, 13572, 267, 1818, 621, 22247, 547, 4235, 269, 4634, 952, 596, 1544, 547, 946, 30341, 1216, 585, 824, 5301, 824, 982, 6704, 267, 649, 8969, 602, 596, 1131, 1616, 547, 946, 13572, 1216, 563, 9989, 30341, 1216, 6146, 8290, 888, 18850, 20746, 3927, 18788, 22803, 7135, 971, 607, 8407, 630, 548, 611, 1070, 24277, 267, 543, 824, 562, 7572, 766, 5536, 971, 607, 4401, 543, 21052, 689, 513, 598, 268, 512, 3133, 730, 1216, 3761, 269, 634, 14495, 1184, 849, 19754, 14471, 971, 607, 4551, 543, 930, 8290, 563, 4692, 596, 1118, 6995, 609, 30341, 1216, 888, 2690, 10750, 6995, 267, 513, 5934, 7777, 1543, 540, 476, 5611, 268, 1220, 2694, 829, 2929, 568, 1898, 547, 513, 1434, 10868, 269, 4826, 29779, 982, 713, 786, 1267, 538, 4617, 543, 8137, 1652, 6995, 269, 1280, 17611, 637, 810, 267, 596, 1058, 946, 30341, 1216, 563, 1432, 2681, 568, 10729, 950, 707, 14401, 616, 17528, 888, 2691, 14401, 616, 17528, 267, 519, 2799, 5834, 543, 13250, 540, 6878, 538, 10729, 1291, 547, 513, 18632, 2681, 799, 949, 581, 6960, 267, 2699, 610, 13711, 269, 634, 2681, 1689, 568, 1813, 547, 9402, 3940, 610, 4006, 267, 1164, 2157, 540, 2699, 543, 3043, 1973, 2281, 267, 543, 1164, 2338, 540, 8546, 11057, 5536, 1572, 10408, 5641, 338, 563, 1432, 568, 519, 1072, 5006, 1216, 547, 4235, 888, 268, 5345, 1014, 269, 6693, 268, 29321, 331, 2946, 26192, 5020, 269, 6693, 268, 1325, 330, 13824, 4826, 476, 6434, 269, 4634, 1498, 972, 729, 1100, 4013, 1867, 593, 519, 2298, 540, 1325, 330, 13824, 4826, 476, 6434, 630, 2793, 306, 6395, 304, 281, 310, 9898, 1070, 519, 6216, 6585, 13068, 22443, 267, 799, 18715, 3106, 540, 513, 1587, 269, 6693, 268, 3794, 864, 879, 12829, 4826, 269, 901, 968, 8243, 691, 892, 1216, 568, 4986, 2027, 267, 865, 621, 4667, 269, 6693, 1724, 16068, 7549, 4344, 269, 476, 1001, 280, 28314, 563, 1432, 568, 519, 1655, 1216, 547, 4235, 888, 16032, 15788, 281, 3647, 550, 807, 594, 517, 1242, 4826, 454, 10497, 550, 807, 4826, 779, 9357, 1242, 4420, 1194, 1216, 568, 606, 5140, 1587, 269, 898, 779, 2922, 267, 2973, 267, 16919, 1390, 267, 543, 814, 782, 519, 1318, 22783, 269, 898, 779, 513, 2706, 12737, 539, 543, 9357, 1242, 22279, 1216, 602, 779, 22012, 998, 513, 28106, 1184, 602, 1625, 5809, 3647, 550, 807, 779, 1216, 267, 1818, 621, 476, 4200, 269, 280, 260, 6986, 269, 0, 1607, 2243, 593, 519, 1158, 2679, 3135, 17275, 1250, 7279, 593, 2436, 649, 1223, 1294, 4191, 540, 606, 954, 6549, 12519, 10340, 269, 634, 2243, 3294, 3927, 12134, 2436, 713, 568, 2009, 585, 938, 1378, 14925, 269, 4595, 519, 27305, 10158, 568, 476, 1911, 1769, 344, 8986, 2066, 267, 543, 14322, 972, 568, 606, 9813, 1582, 18187, 908, 3684, 5827, 540, 10707, 693, 476, 272, 260, 540, 524, 267, 1287, 621, 1131, 581, 2111, 547, 3935, 1125, 519, 2898, 14925, 538, 827, 476, 1015, 19282, 1296, 2285, 610, 1491, 269, 901, 568, 513, 6263, 2179, 540, 942, 538, 519, 6264, 1686, 540, 519, 7122, 865, 621, 781, 693, 2547, 26363, 563, 4913, 950, 596, 8831, 713, 2219, 547, 954, 6549, 12519, 9883, 621, 3533, 3587, 4652, 29342, 1043, 269, 634, 3845, 547, 519, 1656, 668, 20364, 14925, 568, 476, 273, 19282, 1769, 1296, 543, 519, 8700, 540, 519, 2199, 2706, 743, 13831, 568, 476, 8099, 19282, 269, 13488, 1782, 891, 9883, 693, 476, 272, 260, 524, 1131, 1491, 519, 3003, 2085, 540, 519, 7122, 2483, 3383, 593, 547, 1250, 2243, 281, 568, 621, 2009, 547, 3035, 4376, 2673, 547, 476, 3199, 260, 540, 519, 3432, 540, 1769, 1210, 14965, 6351, 689, 519, 3109, 9475, 28835, 519, 4099, 540, 938, 14925, 888, 296, 1810, 1405, 917, 538, 1469, 875, 8904, 20674, 960, 865, 594, 723, 1100, 2856, 1018, 519, 12145, 2188, 616, 267, 855, 1577, 781, 8263, 649, 723, 6634, 540, 1296, 547, 942, 621, 856, 543, 513, 18232, 642, 6578, 540, 476, 272, 260, 519, 3432, 540, 1769, 563, 7712, 519, 5818, 5673, 593, 519, 16133, 547, 519, 20993, 1560, 594, 8263, 519, 7887, 19224, 548, 1131, 581, 519, 10231, 596, 1131, 723, 547, 22036, 607, 596, 1205, 6251, 547, 519, 3109, 23346, 5818, 619, 269, 1772, 972, 606, 2653, 1259, 547, 7447, 1018, 621, 1131, 1491, 888, 5278, 23040, 7219, 2979, 6645, 803, 621, 781, 10169, 26363, 912, 268, 634, 8006, 540, 519, 3109, 8559, 693, 519, 4099, 540, 938, 14925, 568, 593, 519, 1931, 540, 513, 1769, 8792, 563, 268, 898, 3217, 593, 519, 1931, 540, 476, 1015, 3764, 23960, 693, 476, 4335, 876, 326, 547, 1205, 547, 519, 3432, 540, 1769, 563, 268, 24665, 725, 593, 519, 1931, 540, 476, 4335, 876, 326, 941, 6913, 676, 519, 7841, 7784, 30384, 269, 4595, 972, 616, 930, 18747, 547, 1039, 5907, 13365, 547, 7841, 7784, 1788, 3796, 267, 594, 3513, 8263, 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 ]
[ 4752, 779, 1152, 18911, 577, 2006, 267, 968, 10190, 646, 5433, 606, 20949, 547, 3956, 16965, 609, 7772, 267, 585, 646, 4862, 519, 8325, 11523, 548, 540, 519, 8840, 8371, 607, 519, 3382, 540, 519, 8486, 5795, 1259, 282, 646, 4862, 519, 8325, 3458, 600, 540, 1928, 607, 519, 11329, 30367, 1336, 741, 1665, 6100, 2098, 541, 4752, 2663, 24616, 602, 681, 1622, 5112, 814, 3144, 856, 835, 540, 1010, 1655, 968, 323, 9233, 892, 630, 20130, 18911, 577, 2006, 1040, 901, 2982, 519, 681, 1622, 5112, 6411, 607, 606, 3662, 1317, 2098, 541, 4752, 13587, 1882, 513, 1268, 547, 741, 19319, 269, 3807, 899, 1018, 513, 795, 16331, 541, 610, 533, 6373, 1131, 798, 547, 6146, 741, 10352, 269, 1358, 1131, 1106, 513, 15972, 676, 13147, 10107, 824, 3662, 779, 20282, 7125, 547, 561, 675, 519, 10352, 547, 873, 267, 1152, 547, 581, 13881, 909, 563, 1103, 3932, 267, 681, 1622, 5112, 543, 2098, 541, 4752, 13789, 607, 3425, 676, 6029, 513, 2631, 540, 13919, 269, 681, 1622, 5112, 543, 2098, 541, 4752, 4159, 3662, 2065, 5615, 676, 11318, 824, 1480, 7919, 585, 1187, 543, 4259, 909, 20637, 547, 13587, 633, 1866, 269, 1306, 513, 3992, 267, 9400, 1230, 24274, 729, 3843, 547, 2671, 609, 1010, 3988, 602, 538, 2053, 540, 8594, 267, 3425, 786, 957, 607, 2831, 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 ]
[ 8449, 711, 835, 1732, 982, 519, 824, 6468, 616, 9090, 1732, 1055, 2221, 10738, 513, 1920, 519, 2212, 540, 519, 7622, 729, 2356, 5256, 898, 454, 287, 298, 756, 514, 568, 513, 12468, 11232, 585, 1250, 1557, 1318, 1631, 256, 2336, 268, 9995, 571, 6215, 643, 6390, 267, 2875, 7711, 17459, 20588, 454, 32452, 267, 713, 568, 519, 1655, 1557, 948, 594, 4312, 2479, 4607, 2336, 268, 6682, 341, 340, 1912, 600, 267, 2875, 7711, 772, 540, 631, 454, 2252, 594, 9364, 1634, 827, 7711, 298, 756, 514, 538, 2852, 267, 594, 1131, 723, 20335, 1454, 811, 3207, 454, 268, 23514, 590, 24065, 267, 620, 30282, 7711, 17459, 6369, 0, 288, 11765, 281, 2817, 3163, 7690, 1923, 25032, 281, 1923, 5358, 281, 590, 289, 7644, 1923, 18001, 281, 18001, 594, 1923, 13815, 2549, 870, 281, 476, 5611, 269, 876, 298, 1923, 5729, 281, 476, 1001, 271, 454, 1607, 9540, 6355, 30404, 3194, 630, 306, 289, 7644, 264, 18001, 594, 1788, 786, 6542, 519, 23250, 540, 1210, 2203, 2861, 1852, 540, 2837, 543, 2566, 585, 1984, 1047, 1718, 8755, 32319, 2718, 540, 19202, 530, 2378, 619, 269, 769, 3210, 547, 519, 3747, 585, 2479, 5488, 13365, 602, 8532, 1447, 1379, 267, 519, 2645, 585, 21753, 540, 7471, 11387, 630, 2975, 781, 264, 616, 2838, 547, 1683, 5051, 5730, 1852, 540, 519, 5663, 1184, 267, 552, 3052, 1421, 1852, 540, 519, 23644, 530, 29195, 2837, 1282, 8143, 4393, 269, 634, 5478, 540, 606, 15096, 3322, 7366, 540, 3268, 269, 2290, 540, 891, 3268, 568, 8143, 32319, 2718, 1031, 585, 17585, 656, 11852, 267, 513, 2565, 1900, 538, 15096, 13863, 5663, 269, 8921, 22831, 15096, 781, 991, 1360, 13719, 543, 23589, 15118, 2388, 602, 2154, 32319, 2718, 936, 10156, 942, 5712, 543, 693, 2362, 5210, 267, 799, 568, 711, 2009, 609, 1699, 6671, 21782, 32319, 2718, 3937, 269, 7085, 1047, 1718, 32319, 2718, 609, 24421, 539, 8755, 2000, 10102, 814, 519, 1761, 547, 2743, 519, 1007, 32319, 2718, 4170, 269, 1717, 267, 2591, 1644, 547, 10063, 322, 2225, 543, 2566, 14001, 530, 29195, 3441, 1590, 581, 7753, 1354, 8755, 32319, 531, 666, 581, 1031, 538, 1164, 31891, 5663, 269, 634, 1788, 23083, 547, 1020, 543, 5010, 1125, 513, 1852, 3301, 1587, 547, 948, 17108, 519, 5912, 540, 8755, 32319, 531, 547, 519, 19202, 2872, 269, 634, 6626, 1764, 270, 1260, 14293, 1761, 540, 713, 1788, 568, 538, 922, 2702, 547, 948, 5512, 7839, 10073, 540, 8755, 32319, 531, 1282, 19202, 530, 29195, 4393, 269, 1703, 568, 513, 1713, 1761, 585, 1984, 1047, 1718, 8755, 32319, 531, 547, 9148, 543, 5555, 5372, 6671, 17689, 2861, 21826, 26365, 14409, 630, 305, 9143, 264, 585, 930, 1271, 3268, 538, 19202, 5663, 269, 634, 681, 9143, 2344, 814, 6603, 2673, 547, 1269, 28143, 2929, 538, 476, 1220, 279, 267, 543, 568, 4397, 547, 1332, 3648, 538, 519, 2104, 269, 634, 6069, 1587, 786, 5512, 8755, 32319, 2718, 547, 2743, 519, 23773, 1184, 1852, 4170, 543, 2804, 14573, 267, 543, 948, 5912, 621, 547, 1164, 31891, 5663, 269, 901, 786, 4324, 5561, 543, 786, 538, 2490, 4324, 519, 15096, 15670, 543, 6038, 4324, 2475, 6800, 609, 4130, 267, 5488, 267, 2539, 1379, 3457, 269, 1452, 10124, 786, 1118, 513, 1713, 9295, 547, 14027, 2504, 4066, 585, 2104, 2890, 19491, 3055, 3457, 267, 799, 786, 4324, 519, 2486, 693, 1804, 563, 288, 11765, 281, 22085, 293, 1923, 25032, 281, 9208, 16827, 1923, 5358, 281, 1923, 18001, 281, 1923, 13815, 2549, 870, 281, 476, 5611, 269, 876, 298, 1923, 5729, 281, 476, 1001, 272, 454, 1607, 9540, 6355, 16743, 3194, 630, 306, 289, 7644, 264, 18001, 594, 1788, 6663, 547, 6542, 519, 23250, 540, 4028, 538, 11060, 7020, 540, 7298, 630, 332, 659, 549, 264, 12889, 593, 530, 2378, 619, 538, 19202, 2872, 269, 634, 19202, 5663, 2872, 568, 513, 2101, 23784, 547, 519, 772, 2529, 269, 4346, 269, 932, 2354, 3812, 676, 713, 2872, 616, 1031, 538, 513, 3376, 2039, 540, 3457, 1519, 7193, 338, 543, 1591, 11436, 269, 1703, 616, 827, 476, 4335, 4393, 3268, 3238, 538, 21753, 540, 513, 6093, 13863, 1210, 19421, 540, 4393, 3937, 269, 4347, 31637, 949, 581, 5189, 9170, 538, 519, 4393, 5832, 269, 901, 1788, 6952, 1804, 630, 332, 659, 549, 264, 12889, 602, 616, 7298, 547, 1480, 3750, 607, 4166, 607, 789, 2049, 269, 634, 2856, 3096, 1055, 7308, 1606, 3559, 325, 31554, 2029, 855, 10427, 3239, 4393, 6620, 547, 3713, 543, 19665, 971, 24966, 543, 2697, 14319, 547, 4368, 519, 25768, 3937, 1318, 2476, 1354, 1022, 2417, 4393, 269, 901, 1935, 786, 3648, 2569, 3790, 543, 2333, 519, 3977, 540, 535, 11274, 676, 10893, 519, 2504, 540, 3983, 13365, 269, 901, 3937, 666, 581, 17332, 2429, 519, 21753, 2030, 543, 29598, 24966, 1510, 27200, 530, 29195, 4393, 269, 22453, 10073, 540, 713, 2029, 666, 1683, 1713, 9806, 543, 1683, 519, 772, 2529, 269, 19202, 2872, 609, 513, 8013, 5413, 563, 763, 5010, 1761, 540, 713, 1788, 568, 7175, 7839, 10073, 540, 12550, 12413, 624, 7020, 693, 1169, 1900, 543, 1169, 530, 29195, 538, 19202, 5663, 269, 1703, 568, 8101, 1761, 538, 519, 19202, 2872, 585, 606, 20522, 1907, 585, 1483, 6066, 7020, 540, 12550, 12889, 1318, 693, 519, 3937, 1141, 519, 8919, 568, 6383, 269, 634, 3811, 5010, 1436, 540, 519, 6069, 8919, 7020, 1907, 786, 4217, 538, 3648, 2810, 5663, 11729, 543, 3976, 16715, 3790, 269, 634, 2518, 19202, 8919, 1673, 564, 1254, 2344, 814, 4810, 1713, 2208, 936, 519, 2250, 8717, 609, 519, 2698, 2344, 585, 12747, 1449, 3937, 4397, 547, 9765, 1269, 273, 5479, 538, 476, 1001, 271, 269, 901, 1587, 786, 1265, 946, 538, 1896, 824, 6281, 6990, 971, 607, 631, 32209, 267, 3859, 1648, 3457, 267, 10896, 267, 2584, 9582, 267, 3092, 269, 7053, 267, 2890, 19491, 16361, 5540, 3592, 1169, 2460, 540, 938, 2729, 269, 9747, 267, 513, 1587, 602, 2306, 513, 1713, 9295, 547, 16715, 519, 1942, 540, 5663, 594, 12336, 786, 9797, 1860, 519, 2486, 693, 1804, 563, 288, 11765, 281, 2817, 3163, 7690, 1923, 25032, 281, 1923, 5358, 281, 590, 289, 7644, 1923, 18001, 281, 18001, 594, 1923, 13815, 2549, 870, 281, 476, 1911, 269, 876, 298, 1923, 5729, 281, 476, 1220, 279, 454, 1607, 590, 289, 7644, 18001, 594, 1788, 786, 1020, 2203, 2861, 1852, 540, 6850, 2275, 8707, 7344, 1544, 541, 1436, 1949, 1031, 585, 2104, 5481, 540, 19202, 5663, 269, 634, 2203, 2861, 1852, 786, 6451, 2565, 1062, 1702, 547, 2087, 530, 29195, 7833, 640, 543, 1062, 998, 1584, 269, 634, 3811, 12032, 540, 713, 1788, 786, 4217, 538, 519, 10073, 1007, 30526, 3889, 585, 1985, 5108, 5907, 3457, 269, 898, 949, 849, 3986, 519, 1620, 540, 1528, 1886, 565, 5109, 543, 6850, 680, 908, 3157, 269, 26659, 540, 519, 3157, 786, 849, 2569, 13476, 6213, 3653, 563, 288, 11765, 281, 22085, 293, 1923, 25032, 281, 9208, 16827, 1923, 5358, 281, 1923, 18001, 281, 589, 3041, 299, 1923, 13815, 2549, 870, 281, 476, 273, 269, 3583, 300, 1923, 5729, 281, 476, 1001, 273, 454, 1607, 3376, 6388, 1788, 786, 1711, 513, 3318, 3060, 543, 2146, 540, 2259, 585, 7598, 24635, 595, 2378, 525, 602, 4497, 1164, 1153, 12322, 538, 13241, 269, 634, 595, 2378, 2946, 6982, 604, 1664, 2203, 585, 2502, 4079, 538, 2257, 814, 8810, 1360, 2500, 543, 814, 1044, 4922, 8045, 269, 901, 1788, 13976, 593, 513, 1007, 3811, 2203, 585, 24635, 595, 2378, 525, 8045, 936, 519, 2250, 2947, 1296, 538, 1715, 6792, 630, 10064, 293, 8366, 476, 5881, 272, 5325, 277, 273, 1916, 7021, 476, 276, 1296, 519, 2203, 786, 581, 26987, 909, 538, 5216, 3309, 4525, 2066, 519, 2197, 2519, 3226, 1141, 972, 616, 1804, 2338, 540, 26173, 12322, 269, 11759, 4891, 1331, 3163, 4065, 10298, 538, 1715, 6792, 282, 8828, 13325, 2160, 29885, 6807, 282, 519, 8419, 24635, 2233, 290, 12522, 26844, 282, 3345, 10491, 7467, 540, 7849, 3163, 282, 543, 3163, 20570, 693, 519, 2160, 540, 12548, 563, 763, 1788, 786, 1628, 4390, 585, 513, 3376, 2039, 540, 4959, 292, 543, 13241, 2950, 676, 8716, 543, 14637, 1866, 530, 5109, 547, 1376, 513, 595, 2378, 2946, 1982, 543, 6443, 519, 3060, 269, 634, 6268, 786, 1353, 519, 5222, 540, 1312, 519, 2199, 24635, 595, 2378, 2946, 4609, 607, 1134, 607, 519, 3084, 3060, 269, 634, 6268, 540, 519, 2199, 595, 2378, 2946, 4609, 786, 5659, 519, 2591, 543, 3255, 950, 4259, 909, 2199, 595, 2378, 525, 543, 875, 789, 616, 9619, 282, 875, 1134, 519, 3084, 5121, 2200, 543, 1489, 2743, 2199, 2115, 282, 543, 875, 2199, 14624, 1860, 4093, 585, 12322, 543, 3318, 9458, 269, 634, 6268, 540, 519, 3084, 3060, 6212, 593, 519, 3157, 585, 14123, 2792, 543, 2359, 2066, 519, 4609, 282, 519, 28252, 540, 519, 2200, 3177, 547, 4609, 282, 543, 519, 6940, 540, 519, 2146, 540, 2259, 563, 288, 11765, 281, 2817, 3163, 7690, 1923, 25032, 281, 1923, 5358, 281, 590, 289, 7644, 1923, 18001, 281, 18001, 4083, 1923, 13815, 2549, 870, 281, 476, 5325, 277, 269, 7597, 298, 1923, 5729, 281, 476, 1220, 280, 454, 1607, 8366, 568, 14102, 896, 519, 1977, 18401, 543, 22365, 4034, 618, 2920, 540, 476, 1220, 280, 630, 14276, 4521, 476, 9340, 268, 276, 1040, 901, 9540, 6355, 16743, 3194, 630, 306, 289, 7644, 264, 18001, 4083, 1788, 786, 1020, 513, 5010, 18634, 540, 513, 1483, 6066, 2203, 2861, 17120, 3301, 585, 1985, 22831, 11906, 5336, 324, 22817, 4643, 541, 1436, 18154, 6573, 264, 1949, 1031, 538, 19202, 530, 29195, 5663, 269, 4643, 541, 1436, 568, 606, 7175, 1900, 585, 19202, 32144, 338, 602, 568, 2565, 547, 519, 2872, 781, 5329, 909, 609, 18703, 781, 1876, 269, 8892, 2029, 9136, 540, 476, 3953, 16354, 543, 2630, 2154, 4824, 1377, 540, 2773, 538, 1544, 541, 1436, 2029, 269, 9540, 518, 7516, 543, 519, 946, 540, 811, 10347, 1970, 10275, 8874, 10460, 5051, 22608, 4170, 593, 1544, 541, 1436, 2773, 269, 634, 3811, 1646, 540, 519, 6069, 17120, 3301, 786, 948, 8831, 1544, 541, 1436, 547, 1007, 2157, 540, 2773, 585, 476, 3953, 16354, 2029, 543, 3564, 269, 634, 7601, 1544, 541, 1436, 2344, 568, 17191, 547, 3914, 1269, 279, 2190, 2929, 538, 476, 1220, 280, 267, 543, 513, 1985, 22831, 595, 6573, 17120, 1587, 786, 723, 513, 1713, 1764, 593, 519, 2104, 540, 713, 2344, 269, 634, 6069, 10124, 786, 948, 547, 17108, 519, 10073, 540, 1007, 30526, 3889, 538, 1985, 22831, 19202, 3457, 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 ]
[ 11931, 15581, 3435, 538, 1931, 547, 4612, 519, 4839, 4221, 7271, 269, 1717, 267, 607, 649, 666, 1294, 538, 519, 2539, 8440, 540, 8431, 269, 476, 1556, 267, 519, 1292, 3157, 8108, 519, 4839, 4221, 616, 6192, 1369, 476, 1911, 2395, 689, 519, 4098, 540, 519, 9819, 269, 4475, 621, 568, 17191, 602, 513, 5912, 547, 519, 4839, 4221, 4806, 4386, 1369, 519, 2053, 7051, 689, 4832, 547, 519, 1439, 540, 15489, 269, 10261, 1652, 547, 2161, 267, 513, 942, 17466, 4603, 1058, 581, 2944, 538, 1931, 547, 1174, 519, 4839, 4221, 1184, 811, 5693, 269, 4635, 1776, 2203, 267, 649, 786, 8495, 713, 1966, 538, 519, 2282, 2104, 563, 322, 269, 15863, 547, 519, 14927, 532, 11664, 454, 288, 1208, 335, 543, 513, 9668, 7936, 1020, 998, 519, 4999, 540, 519, 4744, 11692, 543, 519, 740, 557, 794, 3157, 540, 519, 5580, 2000, 9707, 11098, 269, 769, 519, 3105, 1016, 7611, 267, 519, 21341, 540, 519, 8545, 1184, 593, 519, 1267, 729, 8947, 269, 769, 713, 1016, 7611, 267, 649, 1397, 519, 21341, 540, 519, 5449, 1184, 563, 763, 9819, 568, 5340, 609, 519, 1482, 2783, 543, 6724, 630, 553, 538, 519, 2539, 8440, 540, 8431, 269, 476, 278, 264, 4849, 602, 519, 14927, 532, 11664, 568, 4957, 689, 476, 271, 269, 275, 6398, 476, 1015, 6629, 277, 521, 6629, 272, 547, 476, 273, 269, 275, 6398, 476, 1015, 6629, 277, 521, 6629, 272, 609, 519, 8884, 540, 476, 271, 269, 275, 6398, 476, 1015, 6629, 277, 521, 6629, 272, 269, 634, 32725, 540, 519, 4320, 3560, 540, 476, 273, 590, 341, 616, 3254, 538, 8431, 269, 476, 1428, 269, 898, 568, 1336, 602, 519, 4087, 540, 519, 9668, 7575, 547, 519, 2451, 607, 649, 946, 519, 4130, 14927, 532, 11664, 269, 8745, 569, 267, 519, 1267, 4485, 602, 540, 519, 835, 2000, 9707, 2203, 630, 5408, 519, 2539, 8470, 540, 8431, 269, 476, 277, 264, 950, 519, 4744, 11692, 1184, 568, 4617, 269, 4475, 513, 1804, 14927, 532, 11664, 568, 2877, 538, 1931, 547, 3132, 513, 9668, 7936, 563, 8201, 476, 1626, 2982, 519, 27754, 540, 519, 1471, 32654, 851, 540, 519, 2539, 2000, 9707, 6991, 538, 519, 2013, 540, 519, 2539, 8470, 540, 8431, 269, 476, 278, 269, 898, 568, 1336, 602, 519, 909, 16946, 630, 6658, 16946, 264, 5526, 3330, 630, 719, 2515, 264, 513, 1208, 335, 269, 1284, 666, 4612, 602, 513, 1208, 335, 267, 602, 568, 267, 513, 4965, 540, 519, 8818, 267, 11498, 883, 4478, 1858, 1813, 547, 519, 27754, 540, 519, 1471, 32654, 851, 540, 519, 2539, 2000, 9707, 6991, 4352, 519, 1459, 2203, 20475, 713, 1184, 607, 519, 968, 18528, 4288, 892, 540, 519, 5580, 2000, 9707, 11098, 1299, 3149, 336, 321, 19749, 481, 324, 519, 1101, 2165, 538, 519, 1318, 11804, 2427, 540, 26169, 269, 630, 279, 264, 4940, 901, 10522, 602, 519, 661, 330, 2006, 32137, 6991, 1175, 1657, 519, 5377, 661, 330, 2006, 4494, 568, 2838, 538, 519, 1483, 5836, 538, 1931, 547, 8831, 519, 1208, 335, 3927, 5196, 519, 15808, 563, 763, 4767, 5860, 543, 2627, 1699, 4610, 5693, 1397, 513, 9668, 7936, 540, 519, 918, 1755, 3333, 1470, 22236, 540, 19109, 2313, 340, 538, 15489, 269, 1717, 267, 519, 9668, 7936, 7106, 8986, 538, 5162, 543, 5614, 950, 513, 5266, 24267, 5860, 2497, 10953, 609, 513, 6094, 5580, 4494, 269, 901, 568, 5812, 609, 519, 2164, 540, 594, 810, 2041, 630, 1960, 280, 264, 945, 6700, 602, 519, 17578, 2313, 9874, 24953, 7351, 568, 513, 851, 540, 519, 15990, 1700, 25629, 2313, 9874, 24953, 7351, 3590, 4849, 538, 15489, 563, 288, 9183, 10451, 513, 9668, 7936, 538, 15489, 568, 24298, 2630, 269, 634, 918, 1755, 3333, 1470, 13576, 2059, 519, 15808, 9386, 7140, 547, 519, 7532, 23589, 569, 543, 3762, 519, 15808, 9386, 1472, 15480, 4673, 26463, 269, 3973, 513, 1208, 335, 568, 1500, 676, 519, 2539, 2000, 9707, 2095, 791, 15781, 593, 519, 5377, 9386, 267, 799, 568, 6829, 676, 519, 2034, 2165, 540, 519, 1318, 11804, 2427, 540, 26169, 269, 630, 279, 1040, 634, 2539, 2000, 9707, 2095, 538, 519, 1482, 4287, 540, 519, 918, 1755, 3333, 1470, 568, 2877, 538, 1931, 547, 1118, 513, 1208, 335, 972, 269, 589, 1208, 335, 538, 519, 15808, 9386, 11498, 547, 519, 13719, 15808, 3148, 1813, 547, 519, 4744, 11692, 267, 799, 6971, 519, 1283, 4919, 16061, 998, 519, 808, 292, 289, 2752, 2165, 269, 634, 3444, 28104, 984, 987, 3560, 10953, 7930, 1472, 519, 1208, 335, 14178, 547, 519, 15808, 3148, 269, 634, 3444, 28104, 984, 987, 3560, 849, 2300, 2572, 519, 1208, 335, 998, 519, 740, 557, 794, 540, 968, 342, 1301, 892, 1216, 689, 519, 2620, 15808, 9386, 269, 634, 2919, 1208, 335, 14998, 3677, 5666, 540, 519, 3444, 28104, 984, 987, 3560, 4724, 519, 15808, 3148, 267, 543, 513, 9668, 7936, 568, 4646, 563, 13295, 519, 4999, 540, 4744, 11692, 543, 740, 557, 794, 3157, 540, 519, 5580, 2000, 9707, 11098, 10953, 513, 1208, 335, 543, 922, 1644, 9668, 7936, 269, 1879, 519, 6094, 5580, 4494, 29572, 338, 519, 740, 557, 794, 1184, 538, 5162, 543, 5614, 267, 513, 9668, 7936, 7106, 8986, 269, 5047, 513, 9668, 7936, 7106, 8986, 950, 519, 4744, 11692, 1184, 568, 4617, 1210, 519, 1507, 14927, 532, 11664, 269, 4475, 267, 950, 9781, 519, 9668, 540, 519, 17578, 2313, 9874, 24953, 7351, 689, 519, 918, 1755, 3333, 1470, 22236, 540, 19109, 2313, 340, 267, 513, 2620, 7510, 322, 333, 665, 1467, 538, 519, 15808, 3148, 568, 2877, 13147, 10107, 15489, 2783, 269, 589, 2110, 2053, 7051, 540, 14927, 532, 538, 519, 13719, 15808, 3148, 568, 849, 2877, 547, 16578, 4839, 4221, 563, 763, 2278, 20475, 1010, 25442, 7064, 547, 4515, 269, 570, 269, 25463, 698, 328, 543, 6004, 269, 681, 269, 590, 269, 7195, 582, 549, 267, 19109, 2313, 340, 2160, 585, 741, 2565, 2542, 540, 519, 12377, 269, 8729, 616, 849, 6905, 547, 519, 4760, 2689, 619, 585, 3730, 10372, 593, 5355, 519, 12377, 269, 4578, 540, 519, 2627, 1699, 941, 5833, 998, 808, 7495, 290, 4578, 6732, 6796, 3590, 630, 297, 5937, 5308, 306, 264, 593, 741, 5680, 3135, 563, 17357, 22046, 532, 2278, 2232, 281, 3220, 269, 589, 1206, 7795, 27323, 594, 810, 2041, 267, 4972, 540, 3047, 3590, 3163, 543, 5303, 267, 3955, 13694, 23958, 3427, 540, 7177, 7070, 267, 19109, 2313, 340, 2160, 267, 476, 277, 268, 272, 267, 918, 553, 32256, 11860, 14535, 267, 918, 553, 32256, 267, 476, 279, 1626, 268, 5952, 279, 271, 267, 3567, 269, 0, 2005, 5654, 899, 596, 2811, 1210, 5769, 25817, 476, 1556, 610, 4587, 269, 901, 3896, 1568, 1655, 609, 2413, 26292, 971, 607, 519, 5767, 8747, 540, 24904, 267, 32288, 2135, 267, 6380, 926, 267, 543, 22750, 269, 1403, 596, 3136, 609, 713, 11422, 267, 596, 949, 1294, 6397, 2164, 563, 27269, 267, 596, 666, 946, 519, 1482, 5773, 596, 1031, 547, 1711, 707, 1382, 2243, 950, 7421, 513, 1353, 269, 1772, 519, 1353, 16460, 513, 4282, 2243, 610, 513, 32215, 2243, 286, 2052, 596, 2697, 519, 623, 2975, 302, 610, 623, 2975, 5588, 540, 519, 1353, 286, 1879, 941, 519, 4093, 540, 519, 1353, 5462, 888, 19675, 594, 2422, 901, 12754, 888, 2691, 10442, 513, 2707, 547, 3313, 952, 596, 1058, 1331, 621, 538, 707, 2079, 267, 2307, 3054, 519, 1739, 2055, 912, 9989, 519, 1353, 270, 5271, 2064, 2232, 1250, 2243, 888, 3674, 519, 2707, 6325, 888, 6701, 519, 2164, 4570, 888, 3674, 519, 12191, 3280, 888, 9989, 519, 2963, 4019, 547, 1250, 3461, 610, 2551, 888, 11749, 7190, 5288, 4039, 6636, 454, 2691, 596, 4983, 513, 1353, 267, 596, 786, 1616, 547, 3313, 952, 621, 568, 4570, 543, 6325, 269, 27814, 267, 519, 2090, 596, 946, 1058, 581, 1312, 4570, 543, 6325, 563, 11749, 7190, 910, 519, 2702, 547, 2268, 1018, 568, 9277, 547, 610, 568, 5497, 547, 581, 6027, 910, 2488, 23674, 2164, 454, 2252, 594, 2268, 1688, 4222, 267, 666, 594, 2721, 513, 3932, 827, 4987, 888, 9824, 6636, 910, 519, 2702, 547, 2268, 1018, 596, 1616, 547, 2268, 593, 7766, 2833, 454, 2252, 594, 1491, 513, 7209, 1449, 7466, 538, 513, 4737, 267, 786, 519, 2164, 581, 519, 1482, 286, 1403, 519, 1449, 568, 6325, 267, 789, 786, 2336, 4462, 516, 28754, 543, 769, 20777, 910, 6496, 711, 2268, 1018, 594, 1616, 267, 543, 519, 2164, 616, 1114, 950, 594, 10956, 519, 1449, 454, 4462, 516, 28754, 855, 4406, 573, 910, 634, 2164, 616, 22522, 543, 519, 1449, 1281, 711, 3100, 547, 2268, 1018, 594, 2219, 621, 1131, 910, 594, 3112, 2721, 513, 3932, 1759, 1055, 540, 1250, 1239, 454, 9824, 4192, 855, 769, 20777, 910, 634, 2164, 616, 5812, 950, 519, 1449, 568, 7368, 267, 855, 594, 3112, 2721, 519, 3932, 594, 2219, 594, 1223, 454, 9824, 4192, 543, 4406, 573, 910, 634, 1449, 3800, 1018, 621, 1058, 267, 543, 519, 2164, 616, 10956, 762, 630, 663, 5812, 609, 824, 7403, 994, 15862, 689, 4179, 2517, 5570, 976, 9884, 1731, 12855, 3820, 28293, 270, 17572, 281, 9824, 6636, 318, 663, 26371, 7190, 4732, 341, 326, 454, 18128, 2064, 2861, 4915, 630, 292, 13696, 264, 26779, 519, 1655, 2139, 2963, 609, 4791, 1995, 602, 2636, 19353, 547, 4363, 267, 543, 741, 2550, 547, 1118, 267, 5483, 5079, 5812, 609, 741, 2418, 269, 808, 24717, 5271, 2064, 2337, 3375, 15670, 2697, 519, 1655, 2139, 2963, 676, 3246, 10274, 547, 519, 9836, 7156, 540, 519, 14496, 267, 2956, 267, 543, 31675, 540, 6811, 827, 519, 4879, 540, 1072, 2042, 543, 519, 4093, 540, 1072, 1416, 563, 27287, 2561, 26150, 6096, 454, 21206, 2565, 813, 26150, 2645, 616, 3177, 676, 519, 10418, 585, 15845, 9122, 6925, 630, 17206, 540, 10228, 994, 4488, 308, 23905, 814, 1569, 547, 1079, 13746, 12394, 547, 4217, 11112, 24782, 630, 663, 5959, 1053, 264, 3843, 547, 3251, 1699, 609, 519, 3332, 676, 13629, 2565, 24096, 540, 5063, 3370, 1382, 269, 0, 3080, 568, 547, 513, 476, 276, 5037, 1557, 2497, 5205, 519, 2596, 1557, 267, 513, 2875, 547, 1544, 1282, 519, 1557, 269, 21261, 538, 519, 2497, 281, 2497, 269, 25947, 707, 2875, 1590, 1101, 3442, 513, 1292, 3889, 883, 799, 3594, 1246, 713, 609, 3594, 269, 3474, 320, 1557, 269, 6969, 1603, 606, 1557, 8908, 269, 16259, 585, 707, 2093, 607, 621, 949, 1683, 1883, 2243, 269, 9022, 343, 269, 5269, 606, 1557, 269, 589, 476, 276, 5037, 3898, 269, 21261, 538, 7005, 269, 1772, 2921, 538, 269, 1452, 4388, 593, 713, 3732, 1557, 666, 3391, 596, 723, 1114, 2081, 547, 2497, 602, 707, 1544, 513, 4693, 269, 21261, 894, 543, 5037, 1557, 269, 1215, 547, 513, 9135, 540, 606, 12819, 1557, 1058, 581, 4824, 286, 25947, 707, 4845, 2497, 269, 1452, 4388, 543, 5098, 269, 6969, 1603, 6280, 540, 4367, 267, 3898, 269, 2986, 606, 1557, 267, 596, 991, 547, 25657, 12819, 543, 5037, 3898, 269, 1403, 596, 998, 519, 2497, 269, 12856, 540, 2963, 602, 596, 616, 1896, 1292, 1560, 814, 3254, 269, 2986, 971, 606, 7291, 568, 1167, 27641, 835, 568, 676, 513, 2757, 4081, 269, 21261, 1557, 2497, 540, 606, 7291, 269, 16259, 585, 13387, 4255, 676, 13215, 1557, 5161, 540, 606, 12819, 1557, 7291, 269, 14268, 267, 3898, 269, 3767, 602, 12819, 3594, 269, 4828, 286, 2290, 568, 547, 4739, 707, 1557, 7291, 269, 9978, 2497, 269, 21261, 894, 3594, 476, 272, 10959, 269, 2659, 1557, 25221, 922, 2497, 585, 707, 1557, 666, 2769, 707, 1557, 267, 1292, 4661, 1557, 267, 1292, 4661, 267, 476, 6734, 24203, 476, 1001, 279, 1557, 269, 6258, 875, 568, 547, 1118, 606, 12819, 1557, 543, 2057, 17096, 2336, 763, 3974, 1557, 2497, 454, 300, 764, 14390, 344, 1143, 269, 13012, 543, 4334, 1063, 1079, 2592, 267, 519, 3594, 269, 5681, 2719, 621, 568, 1152, 476, 273, 281, 32742, 568, 4986, 563, 13625, 2497, 1032, 476, 279, 454, 1692, 547, 2328, 513, 1032, 476, 279, 269, 5153, 476, 277, 282, 476, 274, 9433, 269, 4706, 5304, 2882, 1053, 547, 723, 547, 1439, 540, 519, 5542, 540, 1032, 476, 279, 9102, 593, 513, 1434, 1557, 269, 2659, 1557, 538, 741, 1101, 1032, 476, 1556, 543, 25258, 563, 31955, 16075, 1557, 2497, 454, 296, 1413, 4464, 547, 8011, 609, 721, 269, 4804, 4099, 538, 519, 1557, 19761, 269, 14958, 532, 606, 1557, 1603, 2852, 1557, 267, 6451, 621, 563, 26855, 2163, 894, 1557, 2497, 7291, 454, 288, 4396, 1967, 4661, 4098, 593, 707, 4555, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 272, 269, 3689, 7127, 1448, 883, 1603, 568, 6643, 476, 273, 563, 763, 669, 948, 519, 4116, 547, 17492, 513, 4062, 540, 1603, 602, 2501, 689, 6643, 476, 274, 563, 291, 10735, 3400, 1407, 2813, 634, 5675, 6713, 602, 568, 1034, 4122, 1031, 538, 519, 1153, 1062, 269, 634, 5675, 6713, 568, 7768, 540, 2947, 5933, 269, 634, 5675, 6713, 568, 7768, 540, 2947, 5933, 269, 634, 2947, 5933, 616, 519, 840, 2914, 3876, 3942, 267, 26004, 267, 2847, 2358, 267, 11049, 267, 543, 519, 8313, 3942, 563, 22261, 476, 866, 267, 5788, 8191, 270, 30108, 18496, 3400, 1407, 814, 2854, 1082, 2835, 593, 3450, 1603, 267, 1519, 519, 5929, 1433, 267, 5675, 281, 11334, 543, 5753, 693, 4518, 630, 3891, 514, 655, 2335, 1040, 12606, 0, 303, 27773, 25886, 2853, 941, 711, 865, 20027, 607, 741, 2012, 267, 1185, 740, 6254, 338, 538, 7178, 5080, 9445, 267, 543, 891, 949, 723, 1044, 741, 2062, 14725, 2996, 269, 634, 9466, 1235, 941, 711, 2943, 538, 6228, 267, 543, 519, 27869, 2065, 6963, 619, 538, 519, 5783, 941, 711, 3392, 2456, 269, 13536, 593, 538, 519, 12081, 513, 23837, 568, 538, 7890, 538, 3162, 342, 1046, 269, 634, 5080, 9445, 1016, 31755, 941, 15151, 711, 865, 3982, 569, 6963, 532, 538, 6644, 607, 5507, 269, 589, 1390, 1082, 1004, 538, 3162, 342, 1046, 543, 30340, 996, 1590, 723, 1044, 4096, 1218, 2390, 3909, 8075, 543, 1390, 3235, 27036, 20292, 24284, 267, 543, 1185, 11124, 676, 519, 27072, 543, 519, 1447, 2989, 18820, 540, 519, 31967, 269, 3162, 342, 1046, 1932, 729, 711, 528, 13124, 519, 705, 1712, 540, 7606, 3186, 3482, 538, 1312, 1625, 572, 543, 1915, 267, 945, 3576, 5413, 540, 519, 20849, 22875, 540, 23118, 543, 812, 832, 543, 540, 519, 6144, 320, 268, 512, 542, 972, 547, 1118, 621, 513, 4052, 25113, 269, 634, 1004, 607, 513, 2898, 941, 9048, 31437, 269, 634, 2413, 1990, 7002, 582, 267, 540, 8726, 5428, 267, 945, 22587, 547, 519, 9551, 757, 543, 1686, 540, 519, 26746, 1974, 25864, 30877, 602, 8370, 2389, 5460, 338, 540, 519, 1004, 540, 4789, 941, 9444, 4936, 1235, 6862, 14308, 1218, 267, 607, 693, 1459, 6956, 267, 855, 4682, 547, 5939, 8449, 896, 1169, 4657, 4341, 269, 6145, 10906, 9887, 267, 2859, 267, 595, 1177, 31678, 267, 476, 272, 595, 963, 344, 267, 7083, 20999, 540, 20306, 532, 5069, 267, 7083, 8053, 6558, 543, 519, 1964, 1185, 13984, 519, 4004, 542, 3028, 896, 11977, 267, 519, 7136, 896, 6307, 543, 519, 4004, 542, 3028, 896, 10906, 269, 769, 1200, 12081, 519, 1184, 3459, 676, 799, 519, 3310, 540, 519, 20908, 7057, 543, 519, 5033, 2435, 20577, 2919, 1085, 745, 1255, 538, 519, 8186, 540, 2367, 899, 595, 963, 344, 543, 1866, 267, 799, 5828, 873, 883, 931, 2615, 1190, 973, 639, 1218, 267, 32222, 547, 7390, 519, 2296, 2533, 543, 27102, 519, 10424, 29686, 269, 4746, 519, 1184, 3459, 676, 799, 519, 4831, 3310, 540, 519, 2637, 5271, 534, 6426, 5828, 519, 2527, 540, 519, 1985, 5108, 540, 519, 1647, 5049, 883, 27869, 1235, 269, 26361, 782, 267, 538, 1200, 12081, 267, 519, 4743, 729, 2813, 799, 1500, 15984, 547, 519, 10424, 29686, 543, 1489, 540, 519, 3235, 27036, 20292, 4031, 513, 1449, 540, 32742, 269, 1809, 973, 639, 3599, 3459, 547, 1118, 922, 5920, 1851, 519, 15354, 8425, 787, 269, 1703, 729, 7899, 540, 621, 1851, 602, 5108, 538, 824, 5049, 1932, 267, 855, 789, 2451, 1447, 1665, 593, 519, 1576, 540, 1686, 269, 634, 6554, 729, 711, 1657, 2921, 5469, 540, 519, 9000, 689, 5939, 540, 9493, 1580, 543, 23194, 268, 2367, 543, 540, 2021, 267, 1498, 21246, 958, 540, 9543, 342, 1580, 269, 1677, 798, 519, 8128, 5126, 267, 519, 21991, 1903, 540, 519, 973, 639, 1218, 267, 2531, 545, 18416, 11564, 547, 3406, 585, 10703, 4705, 20577, 543, 585, 18731, 2835, 267, 17465, 540, 7916, 543, 9640, 267, 22717, 543, 1476, 4593, 725, 2968, 811, 7928, 538, 5080, 9445, 607, 519, 15372, 540, 2009, 4914, 4323, 2799, 269, 634, 1175, 1182, 941, 1360, 3742, 1310, 519, 4266, 540, 519, 853, 269, 4446, 628, 565, 727, 342, 32003, 267, 950, 8050, 543, 5333, 941, 267, 22508, 2299, 20093, 821, 3585, 267, 9277, 547, 581, 10260, 6053, 24027, 585, 519, 24057, 992, 540, 646, 637, 344, 269, 1703, 729, 513, 1007, 838, 11047, 540, 2534, 950, 2112, 609, 8050, 729, 4947, 593, 267, 1310, 519, 4049, 973, 639, 3599, 2920, 476, 4905, 265, 2537, 10906, 267, 689, 827, 476, 15647, 273, 11489, 1310, 519, 14710, 540, 519, 14022, 3385, 269, 6168, 476, 14689, 275, 972, 568, 1447, 1129, 540, 973, 639, 3599, 538, 5080, 9445, 267, 855, 621, 543, 519, 10751, 540, 621, 1705, 711, 24044, 269, 3371, 267, 607, 11992, 267, 1498, 476, 272, 11184, 7338, 595, 1177, 31678, 1185, 2893, 538, 519, 12057, 799, 17468, 13099, 531, 29686, 543, 1138, 592, 268, 512, 24345, 17956, 519, 705, 21161, 3338, 269, 1261, 3533, 3893, 936, 1010, 7965, 827, 19785, 3430, 781, 8375, 269, 1261, 729, 513, 9488, 268, 4707, 1246, 518, 540, 1010, 1378, 4690, 896, 1169, 6554, 269, 476, 4343, 274, 454, 17273, 281, 309, 6224, 5080, 9445, 476, 272, 6155, 329, 341, 340, 270, 28526, 454, 297, 2794, 547, 12445, 30180, 547, 3406, 454, 1607, 2985, 2115, 547, 581, 6169, 1348, 269, 0, 300, 1112, 584, 819, 268, 5715, 340, 1027, 1530, 714, 999, 281, 589, 27824, 4813, 540, 4676, 2716, 9210, 17952, 454, 268, 16952, 11657, 27084, 454, 268, 7348, 2353, 454, 289, 19272, 294, 4629, 26685, 281, 4676, 2716, 17465, 616, 5219, 547, 607, 3134, 850, 10364, 17465, 602, 616, 9846, 10511, 18469, 676, 513, 1808, 10444, 17003, 269, 4676, 2716, 17465, 13251, 676, 544, 1112, 584, 819, 616, 1360, 4686, 267, 543, 1906, 2665, 723, 1044, 4330, 269, 631, 24518, 7495, 306, 281, 901, 1353, 5359, 513, 2013, 540, 606, 476, 1556, 4458, 6040, 8004, 609, 17465, 1008, 12097, 676, 544, 1112, 584, 819, 609, 4704, 1500, 547, 5892, 4080, 2665, 538, 519, 3332, 269, 1530, 714, 999, 941, 6353, 676, 2212, 543, 3750, 11539, 547, 519, 1318, 267, 4827, 539, 30484, 4577, 2022, 1005, 540, 519, 2451, 5580, 18215, 267, 10137, 540, 519, 1318, 5580, 18215, 267, 543, 22638, 20902, 512, 4577, 12641, 4577, 23069, 269, 594, 551, 531, 6850, 775, 13921, 6945, 7000, 2312, 1528, 5766, 1429, 545, 4720, 689, 519, 4571, 25218, 3148, 609, 6281, 31633, 269, 25080, 16982, 9196, 540, 519, 2212, 729, 3339, 269, 1530, 714, 999, 941, 5701, 609, 513, 4999, 540, 22725, 657, 29524, 543, 804, 984, 1794, 600, 269, 12164, 12710, 4785, 12778, 306, 281, 589, 4571, 25218, 476, 1112, 531, 1445, 568, 538, 5329, 609, 3105, 5359, 540, 713, 1858, 607, 513, 1761, 3134, 850, 696, 8328, 4099, 585, 544, 1112, 584, 819, 14001, 17465, 563, 13757, 1641, 1858, 0, 763, 2923, 24834, 5507, 1185, 8806, 513, 1906, 8536, 31269, 269, 634, 1558, 24227, 729, 11303, 676, 5394, 17872, 6821, 269, 1306, 519, 2551, 8057, 267, 1004, 12306, 1524, 3544, 519, 6821, 267, 1317, 3338, 538, 519, 1558, 24227, 2968, 7199, 269, 1717, 267, 950, 972, 729, 606, 593, 16435, 4381, 267, 1004, 1427, 8972, 1394, 3330, 519, 1558, 24227, 547, 3343, 4027, 269, 18738, 519, 1558, 24227, 267, 5783, 267, 8075, 540, 519, 5763, 5006, 4961, 267, 543, 4652, 770, 2989, 4009, 11542, 538, 519, 29039, 540, 519, 1558, 24227, 269, 5221, 540, 2370, 12808, 543, 7199, 3338, 267, 1079, 610, 1614, 6989, 8075, 941, 3964, 2059, 519, 7522, 10754, 269, 8409, 8075, 17808, 856, 1034, 540, 24817, 563, 763, 1558, 24227, 1604, 729, 1100, 19455, 269, 634, 1558, 24227, 4749, 1159, 8215, 4731, 31121, 689, 606, 1493, 1373, 543, 1480, 22837, 269, 24447, 1185, 547, 3802, 5402, 2059, 519, 10754, 1317, 7452, 610, 17885, 729, 16207, 856, 689, 519, 6885, 609, 513, 9963, 3956, 547, 1780, 619, 2421, 543, 2052, 529, 5432, 1170, 543, 554, 9233, 25094, 1263, 539, 538, 519, 20549, 269, 5794, 5533, 729, 16310, 519, 26035, 1317, 7733, 941, 1031, 1169, 2897, 538, 519, 1558, 24227, 6902, 1256, 8338, 267, 20522, 1362, 338, 540, 5755, 941, 1031, 676, 14420, 15670, 267, 10085, 619, 267, 543, 1004, 945, 1223, 1875, 6488, 547, 4444, 7733, 563, 2005, 729, 22247, 538, 519, 1558, 24227, 269, 4107, 1196, 12715, 729, 538, 11308, 543, 512, 3639, 941, 1031, 547, 7298, 5982, 538, 519, 4158, 269, 4495, 11642, 3323, 267, 621, 729, 856, 540, 1852, 269, 634, 3354, 729, 16310, 519, 2816, 269, 774, 3971, 338, 543, 2759, 335, 2720, 525, 20807, 539, 519, 10754, 543, 1256, 972, 941, 4158, 29862, 338, 267, 621, 729, 2182, 1317, 519, 10754, 941, 936, 22125, 269, 1773, 6558, 729, 513, 1804, 2367, 864, 547, 5507, 518, 269, 5221, 540, 1447, 1072, 995, 267, 5507, 1185, 5185, 827, 476, 1626, 26706, 1063, 476, 16328, 279, 543, 519, 1034, 3978, 835, 729, 1572, 519, 4279, 1773, 6558, 538, 476, 14917, 276, 563, 763, 1558, 24227, 3177, 1082, 10694, 2238, 269, 1703, 941, 32702, 19194, 543, 2206, 5104, 1375, 6840, 269, 1290, 12203, 543, 10889, 9398, 13631, 519, 3214, 11504, 1247, 15731, 2813, 5559, 553, 1759, 593, 519, 6426, 6386, 563, 16908, 538, 1647, 21943, 5507, 568, 2864, 1114, 269, 634, 3638, 1223, 6488, 547, 6718, 519, 3638, 6073, 813, 732, 3149, 799, 1500, 540, 16463, 610, 16536, 6902, 6466, 267, 519, 688, 20439, 8806, 5957, 519, 9634, 610, 30465, 813, 732, 3149, 269, 769, 1039, 6823, 267, 972, 729, 1100, 10883, 1440, 28619, 610, 1129, 8595, 540, 1394, 909, 532, 1004, 945, 941, 1100, 2702, 547, 960, 267, 865, 972, 941, 1082, 3640, 619, 267, 8806, 519, 5939, 543, 5289, 5572, 2322, 532, 741, 1489, 563, 26581, 787, 543, 2871, 843, 338, 454, 763, 32134, 540, 4123, 4847, 5507, 547, 979, 540, 1104, 2578, 637, 540, 5958, 908, 5370, 543, 3376, 9165, 540, 23335, 2478, 269, 24447, 1185, 519, 1318, 547, 1118, 513, 8630, 610, 6161, 7681, 538, 519, 1558, 24227, 269, 3487, 21871, 267, 8630, 15538, 540, 23335, 23924, 543, 4739, 8243, 753, 602, 18170, 519, 1558, 24227, 269, 634, 1101, 15731, 941, 1572, 519, 23335, 16014, 15731, 269, 634, 2818, 540, 23335, 16014, 15731, 941, 519, 911, 1457, 538, 24996, 267, 15144, 267, 16536, 267, 610, 2724, 630, 4871, 3738, 1547, 1358, 13856, 13075, 2418, 543, 12587, 538, 519, 1558, 24227, 543, 9738, 519, 2298, 540, 23335, 2478, 269, 1306, 17157, 5293, 267, 519, 4739, 8243, 753, 3459, 547, 7941, 689, 23335, 16014, 15731, 543, 4646, 741, 15731, 1572, 4123, 8630, 563, 13436, 547, 21471, 15731, 267, 4123, 15731, 1305, 909, 519, 3044, 2298, 540, 519, 23335, 2478, 269, 13018, 267, 789, 9859, 827, 1169, 6712, 540, 519, 2504, 5650, 269, 2871, 843, 338, 540, 25865, 321, 2401, 267, 649, 28316, 267, 543, 17051, 19431, 338, 7307, 519, 960, 3108, 543, 2322, 13075, 2418, 543, 12587, 269, 14958, 15731, 8329, 547, 2199, 5939, 585, 544, 2056, 267, 3177, 2724, 547, 3186, 3482, 2818, 267, 543, 6976, 585, 5428, 693, 519, 21649, 8938, 21144, 3108, 269, 14958, 15731, 1305, 741, 5370, 538, 513, 8806, 13075, 1871, 267, 1317, 11745, 1944, 547, 519, 5939, 267, 621, 729, 2808, 538, 19891, 748, 547, 798, 2724, 693, 519, 771, 321, 2720, 531, 540, 824, 1004, 563, 3528, 3735, 476, 6344, 271, 338, 267, 4123, 15731, 2968, 1225, 339, 9430, 519, 7584, 269, 631, 699, 569, 519, 1367, 945, 1223, 1205, 519, 1732, 540, 543, 6192, 519, 1394, 12577, 7041, 1131, 979, 513, 4759, 269, 589, 5256, 1126, 1063, 519, 6502, 540, 476, 278, 268, 1015, 1223, 4745, 607, 15226, 269, 1323, 15226, 4121, 547, 25584, 543, 4739, 22920, 689, 741, 12103, 652, 549, 13492, 2006, 945, 16310, 513, 1368, 843, 4759, 269, 634, 6267, 941, 1875, 6976, 855, 789, 4607, 4055, 267, 813, 732, 3149, 267, 543, 10480, 689, 741, 12103, 652, 549, 563, 310, 30689, 543, 5753, 454, 763, 2937, 8951, 540, 2923, 24834, 5507, 7307, 547, 2196, 741, 513, 514, 4145, 543, 798, 519, 1920, 6009, 1247, 930, 1866, 4749, 3238, 538, 4123, 2238, 269, 634, 3638, 1299, 589, 6902, 1035, 1844, 6902, 476, 24994, 12814, 338, 6690, 941, 9310, 693, 1799, 1155, 2085, 547, 798, 7622, 598, 10811, 542, 267, 855, 25013, 2937, 8951, 7227, 2394, 519, 2085, 540, 476, 736, 338, 1317, 789, 1185, 547, 32006, 720, 3160, 2724, 547, 2322, 909, 513, 2777, 609, 741, 13398, 2421, 563, 7197 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14500, 540, 28635, 334, 538, 1744, 574, 20110, 21542, 11662, 269, 2991, 476, 8182, 271, 267, 646, 4682, 1394, 547, 28635, 6737, 630, 852, 4371, 676, 1010, 5067, 670, 9655, 3626, 16549, 600, 1080, 340, 264, 543, 5747, 972, 538, 476, 8182, 272, 563, 268, 19461, 1257, 689, 590, 1263, 18602, 4437, 7240, 9218, 630, 21579, 29718, 5025, 337, 577, 1161, 2593, 264, 674, 310, 5353, 531, 1299, 9460, 26156, 267, 476, 1220, 276, 0, 5575, 267, 3068, 547, 3068, 4205, 666, 1683, 585, 513, 811, 6209, 11505, 269, 1452, 1898, 7554, 1331, 2348, 2576, 547, 2671, 707, 4606, 543, 2093, 609, 538, 513, 1863, 2230, 1141, 9444, 5428, 666, 581, 24565, 269, 14886, 1590, 581, 2111, 547, 4163, 1142, 824, 998, 23434, 543, 581, 972, 547, 2285, 1142, 824, 4313, 950, 2877, 269, 4340, 547, 31929, 2961, 2651, 689, 26851, 5240, 543, 9012, 17290, 267, 968, 2507, 314, 615, 543, 1200, 1655, 3659, 316, 1558, 835, 1776, 2212, 6823, 609, 6457, 543, 9644, 543, 7279, 267, 543, 602, 4847, 585, 26027, 543, 513, 4493, 689, 799, 547, 11349, 513, 1483, 2631, 540, 17604, 892, 630, 10111, 549, 2483, 1862, 1647, 540, 1957, 4429, 2690, 891, 4128, 267, 513, 3068, 547, 3068, 11505, 602, 4652, 9529, 538, 513, 2168, 2230, 568, 811, 8076, 982, 17052, 602, 2611, 5097, 5691, 269, 769, 1931, 585, 606, 993, 27809, 2078, 547, 581, 9758, 543, 1279, 18835, 267, 972, 1590, 581, 2789, 2168, 4205, 269, 3414, 519, 2591, 540, 711, 1373, 2111, 547, 12492, 519, 2168, 543, 3114, 16007, 609, 1776, 1480, 1373, 267, 2348, 21603, 8847, 540, 17052, 267, 543, 5732, 1373, 13587, 1882, 267, 621, 568, 7543, 547, 723, 606, 8076, 11505, 998, 5691, 1797, 269, 8447, 15025, 609, 18825, 6038, 3029, 2556, 3929, 4296, 602, 616, 1271, 585, 1646, 269, 769, 1931, 585, 513, 9758, 11505, 547, 1106, 267, 519, 6405, 4743, 540, 12777, 2348, 2576, 972, 547, 1489, 596, 543, 3391, 596, 267, 2115, 547, 581, 1459, 2094, 621, 9090, 14753, 547, 1945, 602, 568, 513, 13766, 547, 782, 1480, 7919, 563, 23921, 5675, 6435, 888, 7476, 5955, 593, 8239, 267, 9355, 267, 6677, 1707, 543, 7954, 14678, 5861, 515, 1188, 707, 1957, 19314, 268, 634, 5769, 269, 1306, 540, 2221, 267, 1169, 25246, 540, 1480, 1272, 568, 8185, 6766, 676, 1344, 5833, 3842, 1344, 4066, 269, 634, 5769, 267, 899, 606, 17946, 14975, 19069, 267, 14767, 5318, 2200, 267, 1702, 543, 519, 2230, 547, 1711, 2709, 2409, 540, 10618, 269, 898, 1058, 581, 3015, 547, 782, 269, 898, 2636, 585, 2792, 547, 3914, 1472, 519, 1158, 267, 621, 8952, 2043, 7038, 269, 13201, 519, 12588, 547, 4194, 4655, 2653, 543, 2656, 269, 1635, 1210, 519, 4950, 267, 2043, 949, 3489, 519, 3377, 267, 1382, 267, 18563, 267, 543, 10124, 689, 3592, 1022, 5122, 3926, 2807, 1496, 15912, 281, 2622, 22453, 5680, 267, 5769, 267, 8950, 267, 19534, 2639, 14625, 275, 1913, 630, 274, 269, 274, 3817, 994, 268, 634, 2622, 22453, 5680, 568, 18594, 1819, 538, 1931, 547, 1852, 519, 8244, 547, 10363, 610, 13587, 527, 995, 1344, 4961, 723, 269, 4634, 1498, 5769, 543, 5680, 616, 16207, 1472, 30430, 538, 1082, 3871, 267, 972, 568, 513, 3017, 547, 10646, 1063, 873, 269, 634, 5769, 568, 513, 7372, 3060, 540, 5121, 27300, 1344, 1927, 267, 799, 6402, 5904, 1927, 11451, 269, 634, 1357, 568, 513, 1259, 540, 17034, 519, 1344, 2139, 593, 519, 5769, 998, 519, 2953, 3301, 9497, 6224, 300, 7169, 20257, 13689, 593, 519, 2197, 267, 24890, 666, 581, 2919, 883, 1114, 2157, 540, 3354, 2807, 1496, 15912, 281, 2622, 22453, 5680, 267, 5769, 267, 5769, 24890, 2639, 9340, 274, 1913, 630, 274, 269, 273, 3817, 994, 268, 634, 1032, 729, 476, 1220, 272, 543, 1250, 1920, 3893, 922, 1101, 1753, 2780, 543, 519, 4950, 269, 594, 729, 476, 278, 1296, 2025, 543, 594, 3314, 1373, 9599, 543, 8049, 827, 713, 9814, 1634, 607, 519, 2622, 22453, 5680, 269, 3767, 594, 6557, 476, 2641, 1296, 2025, 543, 723, 1185, 1250, 4023, 2671, 540, 4950, 1569, 602, 814, 1044, 1312, 2318, 543, 2942, 538, 1250, 1272, 267, 607, 1382, 2982, 568, 519, 2013, 585, 519, 5354, 540, 4892, 269, 898, 568, 711, 2009, 547, 5862, 519, 4950, 538, 3274, 513, 2942, 610, 2318, 1259, 607, 621, 666, 3362, 581, 9763, 538, 1312, 269, 634, 4950, 568, 4904, 609, 11995, 7399, 267, 543, 607, 513, 1106, 540, 7136, 9012, 621, 568, 538, 513, 1362, 7357, 922, 1378, 2807, 1496, 15912, 281, 5769, 267, 2622, 22453, 5680, 267, 3778, 540, 519, 5769, 2639, 13199, 279, 1913, 630, 274, 269, 276, 3817, 994, 268, 9442, 607, 2221, 18387, 1406, 1044, 519, 1482, 2094, 2063, 476, 1789, 1296, 269, 1403, 596, 4941, 547, 5968, 609, 1866, 267, 1354, 267, 707, 1152, 3681, 941, 547, 6494, 513, 4484, 267, 513, 751, 5586, 1090, 267, 2285, 513, 1289, 610, 979, 538, 1268, 269, 590, 2210, 830, 621, 3217, 942, 547, 4309, 513, 3210, 676, 4484, 269, 11910, 532, 873, 267, 855, 789, 2461, 711, 1753, 547, 2626, 269, 590, 2056, 513, 751, 5586, 1090, 949, 1942, 930, 2724, 269, 634, 2622, 22453, 5680, 267, 610, 1655, 1634, 607, 519, 5769, 814, 4547, 519, 4838, 540, 2029, 621, 1185, 1764, 875, 649, 5968, 609, 1866, 607, 2221, 269, 6969, 519, 5137, 540, 519, 2622, 22453, 5680, 2792, 729, 1114, 689, 1631, 2807, 1496, 15912, 281, 2622, 22453, 5680, 267, 5769, 267, 7033, 12672, 619, 6441, 2465, 2639, 14991, 275, 1913, 630, 275, 269, 276, 3817, 994, 268, 634, 1614, 7044, 5189, 4159, 513, 15415, 543, 519, 4720, 540, 519, 1158, 2647, 1357, 269, 22073, 609, 519, 13653, 7033, 7137, 1676, 6441, 2465, 543, 1010, 1289, 585, 6151, 1239, 3403, 547, 1964, 4450, 519, 4950, 269, 634, 3403, 540, 6151, 1239, 1964, 19099, 519, 4950, 3056, 547, 5680, 476, 273, 269, 271, 269, 5680, 476, 273, 269, 271, 568, 1141, 519, 4950, 729, 1031, 607, 513, 3760, 547, 3715, 4296, 543, 2445, 4987, 269, 5680, 476, 273, 269, 271, 1287, 19658, 519, 1646, 540, 5680, 16302, 269, 7033, 744, 685, 3725, 11035, 13653, 540, 5680, 16302, 267, 8329, 824, 4066, 971, 607, 12514, 267, 2890, 10746, 267, 543, 5100, 3457, 8329, 547, 519, 1239, 2987, 1584, 2497, 540, 519, 1357, 2807, 1496, 15912, 281, 2622, 22453, 5680, 267, 5680, 476, 273, 269, 271, 267, 5769, 267, 12054, 4842, 5680, 2639, 278, 7176, 1913, 630, 273, 269, 274, 3817, 994, 268, 2290, 540, 519, 1034, 1271, 6639, 13120, 540, 782, 942, 568, 519, 1646, 540, 519, 2622, 22453, 5680, 2442, 569, 1634, 607, 968, 4178, 892, 610, 654, 274, 269, 2142, 531, 267, 966, 269, 630, 333, 6155, 4700, 11225, 621, 607, 267, 968, 21353, 1227, 513, 1062, 540, 5769, 13763, 602, 1489, 16887, 30149, 6054, 269, 634, 6054, 616, 30149, 538, 513, 1665, 1575, 1893, 1572, 14103, 630, 29730, 17806, 4460, 1575, 5678, 264, 602, 7028, 6402, 547, 824, 6054, 267, 607, 1134, 607, 12449, 267, 8301, 267, 543, 3381, 6119, 269, 634, 2622, 22453, 5680, 630, 19986, 13763, 264, 616, 2111, 547, 5968, 998, 519, 27427, 270, 7709, 7014, 799, 568, 513, 1455, 1893, 1031, 676, 5904, 547, 5968, 538, 519, 4950, 2807, 1496, 15912, 281, 2622, 22453, 5680, 267, 5769, 267, 5680, 2985, 267, 14103, 2639, 278, 4037, 1913, 630, 273, 269, 273, 3817, 994, 268, 23095, 585, 2792, 267, 519, 4950, 267, 1312, 519, 1158, 2647, 1357, 543, 519, 2620, 1357, 267, 568, 519, 6574, 1259, 547, 10141, 1344, 1063, 2789, 5867, 269, 634, 12825, 2208, 540, 519, 4950, 1152, 2799, 922, 946, 538, 519, 1158, 267, 609, 513, 16221, 540, 3059, 2533, 267, 899, 519, 2923, 267, 4930, 267, 15473, 267, 543, 9913, 543, 1514, 5867, 267, 2523, 1000, 7867, 267, 596, 32353, 267, 3068, 1504, 267, 543, 3818, 16651, 11080, 267, 1210, 621, 607, 513, 6174, 585, 2792, 543, 10825, 1344, 267, 543, 7654, 849, 3310, 269, 634, 3096, 540, 519, 5769, 568, 1434, 547, 917, 267, 2386, 267, 855, 1018, 1281, 621, 723, 547, 798, 609, 519, 1523, 540, 7834, 2807, 1496, 15912, 281, 2622, 22453, 5680, 267, 5769, 267, 3778, 540, 519, 5769, 2639, 10441, 276, 1913, 630, 274, 3817, 994, 268, 17593, 281, 910, 769, 2221, 779, 5736, 267, 607, 649, 782, 917, 4950, 4066, 616, 3395, 6385, 269, 13966, 609, 713, 267, 14678, 267, 5680, 2985, 7840, 616, 849, 5355, 269, 634, 2832, 540, 513, 5680, 2985, 2857, 2658, 1062, 568, 547, 3589, 519, 5680, 2985, 610, 3817, 267, 799, 786, 581, 10272, 689, 513, 2016, 5680, 22240, 540, 513, 3896, 269, 4578, 840, 30112, 568, 835, 2596, 543, 1898, 851, 540, 5680, 2985, 16252, 269, 4578, 840, 30112, 5161, 540, 30749, 543, 14335, 1239, 547, 10891, 585, 25935, 4806, 269, 769, 713, 1957, 267, 649, 1865, 543, 1445, 593, 5680, 2985, 24805, 566, 543, 1909, 540, 1239, 840, 30112, 538, 5680, 2985, 16252, 267, 6236, 875, 1239, 840, 30112, 568, 1644, 547, 5680, 2985, 16252, 269, 21292, 281, 17597, 2658, 3590, 267, 5680, 1862, 1496, 15912, 281, 2622, 22453, 5680, 267, 5680, 2985, 267, 19534, 267, 5680, 7746, 2639, 280, 7761, 1913, 630, 273, 269, 279, 3817, 994, 268, 634, 4950, 568, 1945, 602, 649, 782, 946, 1169, 1554, 538, 938, 1272, 269, 898, 666, 581, 1031, 585, 11995, 7399, 899, 267, 10992, 707, 9344, 585, 1153, 267, 610, 1256, 11488, 2576, 606, 4757, 269, 5272, 7853, 3096, 519, 4950, 585, 1153, 3785, 267, 585, 960, 267, 610, 1256, 1175, 585, 707, 2123, 946, 269, 1284, 267, 607, 3425, 267, 4096, 593, 519, 4950, 865, 1454, 602, 594, 1810, 1406, 1589, 649, 666, 7639, 1510, 621, 15042, 269, 634, 4950, 814, 1044, 606, 8798, 602, 814, 711, 1152, 5280, 856, 2486, 267, 855, 814, 849, 4957, 519, 1158, 269, 634, 2622, 22453, 5680, 666, 581, 4330, 538, 1082, 2081, 2807, 1496, 15912, 281, 4950, 267, 8940, 267, 16814, 267, 1357, 2639, 276, 4366, 1913, 630, 272, 269, 277, 3817, 994, 268, 634, 2622, 22453, 5680, 968, 763, 5680, 1281, 711, 1175, 1921, 6191, 267, 621, 13462, 1004, 892, 630, 20755, 12672, 619, 6441, 2465, 1040, 7033, 12672, 619, 6441, 2465, 4941, 547, 1711, 513, 1259, 585, 21575, 547, 5968, 1344, 3362, 1063, 835, 1776, 269, 1261, 8694, 909, 2870, 835, 540, 519, 1034, 3810, 1031, 4773, 540, 3301, 593, 519, 4950, 2221, 543, 606, 11212, 11684, 1259, 540, 4687, 1344, 11451, 269, 634, 5680, 1185, 1831, 971, 513, 2462, 851, 540, 938, 4948, 2729, 602, 513, 2603, 540, 721, 1131, 711, 917, 1018, 547, 798, 1510, 621, 269, 2368, 1004, 798, 711, 4628, 1174, 1018, 519, 6478, 22453, 5680, 2965, 568, 1498, 2807, 1496, 15912, 281, 7033, 12672, 619, 267, 4950, 267, 3060, 267, 15745, 2639, 1911, 280, 1913, 630, 273, 269, 280, 3817, 264, 0, 25721, 30649, 29952, 661, 568, 3844, 547, 1973, 9067, 29952, 27921, 543, 20188, 3560, 1369, 8031, 269, 634, 5444, 630, 4338, 302, 7232, 264, 17683, 713, 3940, 568, 26340, 545, 269, 4014, 519, 6673, 302, 7232, 275, 27446, 568, 513, 1134, 28004, 1981, 3815, 585, 1312, 15466, 2068, 543, 12216, 781, 2068, 538, 454, 14006, 3146, 335, 8793, 1296, 267, 621, 949, 267, 2705, 267, 538, 1978, 4529, 11721, 29623, 12331, 267, 2709, 513, 3982, 6668, 5413, 269, 634, 1455, 6673, 302, 7232, 274, 27446, 568, 1336, 538, 782, 1480, 5095, 267, 855, 621, 568, 3226, 11342, 538, 1279, 28004, 6694, 11615, 267, 971, 607, 6414, 1472, 519, 11335, 7256, 269, 901, 24716, 609, 519, 9860, 540, 519, 6673, 302, 7232, 275, 27446, 267, 799, 568, 5207, 538, 4529, 602, 1869, 723, 606, 4346, 1759, 593, 25061, 267, 610, 1141, 1426, 3761, 568, 20437, 543, 17077, 269, 6270, 5095, 1331, 12877, 326, 332, 625, 267, 3979, 10609, 16211, 5842, 267, 14570, 1014, 543, 8241, 2806, 10594, 1149, 267, 14466, 340, 753, 267, 700, 1952, 338, 267, 543, 7111, 4892, 630, 6795, 1040, 9122, 593, 713, 3892, 267, 621, 814, 1044, 6700, 602, 519, 18577, 6673, 302, 7232, 275, 27446, 949, 581, 513, 834, 628, 17287, 1399, 257, 27446, 609, 6198, 3601, 602, 3310, 9067, 29952, 10307, 267, 1519, 8501, 2157, 538, 513, 6225, 6073, 538, 519, 3617, 18577, 1604, 269, 1717, 267, 856, 540, 741, 18577, 2796, 630, 328, 4318, 1421, 1369, 513, 4207, 1604, 1141, 5375, 11326, 543, 15325, 7173, 841, 264, 5312, 28115, 894, 3676, 811, 11593, 8915, 2933, 630, 6795, 1040, 4014, 8023, 7154 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7212, 16637, 1581, 1143, 729, 2760, 513, 22759, 3585, 9836, 6138, 267, 621, 1185, 8630, 676, 16080, 11107, 1317, 540, 741, 4901, 540, 737, 656, 781, 16637, 1581, 2093, 269, 5808, 941, 519, 27428, 540, 16637, 1581, 1143, 519, 16637, 1581, 8630, 267, 8385, 513, 4901, 1895, 585, 771, 26067, 5896, 1770, 4115, 26110, 543, 930, 1866, 269, 1323, 4367, 547, 519, 1898, 5515, 543, 12591, 540, 16637, 1581, 1143, 543, 3102, 538, 7829, 519, 30908, 540, 2219, 2556, 547, 1865, 519, 1888, 269, 2776, 560, 19213, 2777, 781, 5905, 7723, 16637, 1581, 1143, 568, 519, 3501, 4367, 547, 1930, 4901, 540, 519, 4798, 1053, 786, 7237, 568, 606, 1271, 1900, 269, 4033, 1271, 16637, 1581, 1235, 941, 29165, 30602, 555, 648, 879, 267, 476, 8146, 277, 602, 789, 1106, 513, 4901, 1895, 585, 771, 320, 26327, 1762, 1770, 4115, 23464, 563, 24916, 1454, 13016, 2911, 267, 519, 16637, 1581, 1235, 8032, 588, 3042, 4205, 789, 1572, 7391, 1896, 540, 891, 2443, 9188, 8282, 538, 1714, 9626, 890, 629, 1328, 781, 269, 1977, 16637, 1581, 1143, 568, 9247, 513, 2186, 540, 2259, 676, 799, 519, 1158, 540, 8630, 585, 519, 3483, 540, 18398, 4901, 540, 1699, 3584, 538, 6138, 269, 634, 646, 987, 16320, 1108, 540, 7819, 3332, 267, 2019, 476, 272, 630, 1960, 279, 264, 1281, 711, 1865, 16637, 1581, 1143, 538, 2474, 540, 22153, 267, 897, 518, 3805, 267, 610, 4984, 693, 782, 27260, 2791, 4440, 4121, 827, 16637, 1581, 1143, 538, 1164, 1153, 267, 855, 945, 538, 536, 10667, 585, 5717, 540, 811, 12666, 8925, 547, 519, 588, 738, 4328, 269, 3690, 25728, 1581, 1143, 6719, 835, 540, 519, 20443, 5712, 538, 799, 519, 5428, 585, 513, 4901, 540, 519, 1764, 540, 16637, 1581, 1143, 593, 5939, 6963, 538, 1007, 269, 774, 648, 879, 543, 519, 16637, 1581, 1235, 281, 741, 6138, 543, 1644, 4145, 1750, 11927, 521, 664, 328, 781, 4901, 3370, 676, 1750, 11927, 521, 664, 328, 593, 535, 27518, 267, 5104, 569, 476, 2641, 267, 476, 1001, 278, 269, 2986, 900, 3205, 568, 519, 1843, 540, 519, 1459, 4901, 1577, 721, 1101, 6376, 602, 547, 1397, 900, 3205, 781, 620, 334, 1993, 1145, 689, 519, 16637, 1581, 1235, 7015, 3125, 267, 7548, 563, 6624, 540, 519, 1034, 4583, 16637, 1581, 626, 1568, 616, 3594, 666, 606, 1557, 581, 5339, 538, 519, 1482, 1259, 602, 513, 6648, 610, 513, 3209, 568, 519, 16637, 1581, 1235, 269, 769, 11000, 267, 4901, 267, 543, 1507, 1895, 960, 538, 1362, 267, 1053, 1451, 547, 3950, 547, 9787, 543, 5660, 900, 3205, 781, 543, 519, 824, 16637, 1581, 1235, 262, 11509, 269, 3690, 25728, 1581, 1143, 543, 6963, 538, 519, 2085, 540, 900, 3205, 267, 555, 648, 879, 267, 543, 2407, 518, 4901, 593, 16637, 1581, 1143, 543, 2067, 2257, 267, 10023, 1079, 540, 519, 269, 3690, 25728, 1581, 626, 3350, 1331, 281, 678, 19563, 9267, 4777, 900, 3205, 267, 29165, 30602, 555, 648, 879, 267, 4901, 538, 1362, 786, 581, 827, 476, 1428, 3764, 543, 786, 15052, 1053, 1412, 563, 763, 3932, 4667, 547, 581, 602, 513, 19908, 568, 2556, 952, 16637, 1581, 1143, 568, 547, 581, 646, 17660, 693, 782, 267, 10502, 519, 2186, 540, 19908, 568, 8676, 601, 9333, 1389, 269, 3690, 25728, 1581, 1143, 568, 513, 10952, 3350, 602, 2919, 538, 519, 3735, 476, 9264, 271, 338, 543, 476, 8146, 271, 338, 538, 4408, 335, 2167, 2376, 2911, 269, 13028, 7172, 4115, 5498, 21124, 1382, 2200, 593, 16637, 1581, 1143, 689, 519, 1391, 807, 2228, 7172, 4115, 781, 9133, 281, 4901, 540, 16637, 1581, 1143, 5956, 593, 533, 269, 9523, 543, 1865, 2875, 13366, 476, 273, 6338, 16637, 1581, 1143, 1780, 856, 11000, 4967, 630, 8518, 719, 476, 272, 264, 543, 1865, 609, 1362, 476, 274, 979, 936, 900, 3205, 6915, 593, 30127, 563, 1103, 341, 924, 1053, 547, 1865, 519, 2035, 540, 16637, 1581, 1143, 676, 6236, 519, 1739, 2055, 596, 949, 6999, 547, 2328, 891, 2055, 593, 519, 4604, 610, 5750, 1547, 11137, 540, 16637, 1581, 1143, 267, 32055, 1568, 267, 29721, 1299, 3140, 2796, 267, 10530, 267, 4901, 2055, 267, 3730, 6402, 267, 543, 4967, 270, 974, 12329, 8292, 269, 634, 3404, 5112, 25156, 540, 16637, 1581, 1143, 3091, 606, 15834, 1935, 547, 519, 1433, 849, 10741, 909, 519, 4901, 540, 519, 3350, 3564, 519, 1007, 563, 2304, 7291, 540, 519, 11944, 540, 1007, 24469, 16637, 1581, 1143, 609, 1880, 741, 1378, 5717, 593, 16637, 1581, 626, 4798, 811, 4277, 982, 519, 269, 1358, 949, 1291, 547, 811, 13857, 5717, 540, 519, 16637, 1581, 1235, 267, 607, 891, 4775, 13915, 1683, 513, 5639, 585, 1053, 945, 949, 1935, 269, 589, 3802, 538, 519, 18137, 281, 1620, 16637, 1581, 1143, 936, 519, 1576, 540, 25926, 689, 2470, 543, 1582, 3146, 18910, 998, 10319, 4901, 269, 0, 763, 17227, 540, 519, 23821, 2572, 454, 4097, 268, 4366, 16729, 519, 28789, 781, 4971, 267, 15584, 267, 26826, 267, 543, 519, 3401, 540, 519, 2146, 3576, 513, 14829, 540, 519, 1614, 23821, 924, 804, 753, 267, 918, 2129, 987, 267, 717, 619, 327, 517, 267, 543, 8585, 926, 269, 1358, 1705, 713, 676, 1016, 12641, 753, 543, 3885, 543, 10805, 782, 519, 2367, 1063, 519, 6502, 540, 13977, 543, 15823, 945, 941, 11727, 547, 960, 538, 519, 570, 550, 540, 519, 28789, 781, 4527, 267, 607, 5205, 912, 5392, 10376, 812, 729, 10805, 607, 519, 28789, 1185, 26017, 15584, 282, 543, 693, 519, 4971, 540, 519, 28789, 2016, 998, 15584, 267, 1142, 812, 729, 8655, 5539, 585, 1010, 4305, 540, 7674, 610, 8876, 563, 14187, 5240, 22564, 10378, 609, 1546, 17458, 665, 534, 517, 25025, 12458, 335, 665, 787, 6495, 630, 9213, 779, 2296, 19405, 267, 5822, 9990, 264, 9736, 476, 1960, 273, 1977, 6426, 5980, 269, 2353, 2924, 11603, 563, 17951, 997, 5314, 9736, 634, 3703, 543, 14579, 6426, 5980, 476, 3192, 277, 267, 476, 1960, 275, 267, 476, 1220, 275, 454, 763, 10677, 585, 519, 12045, 960, 540, 29842, 5314, 25701, 1152, 547, 519, 1257, 1369, 519, 6153, 5240, 22564, 630, 294, 18199, 264, 602, 3703, 543, 14579, 6426, 5980, 9862, 585, 3703, 5339, 6165, 267, 5812, 609, 8791, 476, 9818, 6357, 264, 540, 519, 2136, 2276, 14645, 2920, 267, 476, 1704, 772, 2529, 5861, 269, 19926, 476, 9818, 6357, 1916, 289, 1043, 1257, 689, 519, 6153, 5240, 22564, 630, 294, 18199, 264, 568, 711, 547, 581, 25735, 538, 12215, 610, 6382, 676, 1022, 1797, 4849, 607, 15868, 538, 1603, 676, 1977, 6426, 5980, 267, 476, 6200, 3345, 14412, 26864, 5101, 267, 4469, 3233, 476, 279, 267, 15740, 267, 13698, 476, 4489, 6187, 268, 21497, 276, 630, 4178, 269, 26410, 321, 1043, 3820, 1916, 5472, 2924, 11603, 269, 3143, 851, 540, 713, 8313, 949, 581, 25735, 610, 10299, 538, 1022, 1106, 610, 676, 1022, 1797, 267, 5907, 610, 7344, 267, 1519, 2584, 665, 4878, 267, 10916, 610, 1022, 1344, 4859, 610, 23023, 1062, 267, 1510, 10479, 538, 1603, 689, 519, 17404, 269, 0, 13775, 609, 2186, 10479, 689, 634, 26366, 601, 11833, 454, 294, 2894, 2207, 3201, 6673, 14154, 2752, 23814, 910, 5940, 3307, 633, 2212, 609, 4190, 3623, 5652, 8720, 267, 609, 1804, 267, 8797, 10995, 4064, 1055, 4259, 1279, 267, 1970, 649, 848, 569, 1560, 269, 10374, 2178, 7953, 282, 4365, 16513, 10359, 563, 6224, 2752, 3722, 9898, 3041, 23154, 910, 10794, 267, 960, 2006, 3697, 1768, 8175, 454, 307, 4932, 25807, 4456, 7728, 910, 18763, 267, 3810, 10995, 267, 5462, 267, 6414, 656, 267, 6213, 267, 15754, 622, 543, 14064, 1881, 563, 4047, 4696, 6730, 27699, 26097, 910, 10361, 9244, 1500, 543, 1804, 267, 855, 538, 8167, 547, 519, 2915, 781, 2450, 267, 6091, 6029, 9058, 1646, 2523, 519, 3193, 16736, 269, 4787, 1638, 3376, 267, 32560, 2509, 519, 3750, 267, 7893, 827, 519, 1482, 689, 519, 6418, 7944, 540, 519, 3750, 547, 1394, 540, 519, 15693, 607, 689, 1274, 547, 1274, 269, 5983, 3650, 1134, 2531, 539, 282, 2212, 4988, 609, 1360, 2571, 3623, 5652, 4552, 568, 711, 16876, 547, 513, 6071, 1283, 330, 2254, 269, 4258, 4060, 7930, 512, 1653, 532, 2509, 2620, 543, 9244, 1500, 18665, 14794, 269, 16334, 14794, 538, 8167, 547, 15693, 607, 1614, 547, 2947, 269, 5440, 540, 519, 18665, 14794, 814, 21083, 11953, 15429, 15738, 23651, 547, 4064, 689, 9224, 827, 606, 10759, 3376, 269, 715, 846, 3109, 563, 292, 312, 2464, 910, 6762, 4158, 6328, 601, 282, 1305, 2647, 6306, 543, 1970, 267, 1804, 585, 513, 1507, 2915, 267, 6505, 267, 2407, 543, 5180, 267, 855, 711, 31732, 24851, 563, 292, 12678, 910, 623, 754, 592, 748, 267, 1305, 1134, 1394, 267, 6306, 543, 1970, 593, 519, 15693, 267, 16304, 2673, 547, 519, 32336, 267, 609, 1360, 13581, 16879, 693, 3490, 267, 3376, 693, 519, 22882, 540, 2212, 543, 512, 1653, 532, 3592, 547, 513, 1448, 267, 2062, 4820, 540, 519, 1274, 4947, 3592, 2786, 1524, 689, 922, 22882, 609, 519, 2212, 547, 519, 9133, 269, 14295, 18382, 543, 2960, 540, 519, 1274, 1360, 6094, 269, 20099, 540, 1274, 689, 1614, 547, 2185, 6279, 269, 661, 1513, 2800, 514, 1047, 538, 7990, 609, 519, 1560, 7990, 269, 769, 513, 14723, 2915, 4988, 609, 2571, 2786, 4158, 4552, 630, 514, 930, 2665, 3592, 3109, 1040, 769, 513, 28401, 2915, 267, 4552, 28401, 538, 7990, 267, 513, 12094, 18632, 982, 519, 1560, 855, 711, 3109, 269, 5637, 1058, 723, 513, 6094, 13692, 540, 1769, 4552, 4358, 827, 1079, 6279, 689, 519, 9133, 543, 540, 5176, 519, 1482, 7990, 543, 9403, 607, 519, 1283, 330, 2254, 4758, 519, 1274, 519, 5920, 540, 513, 3982, 1448, 269, 901, 949, 711, 2408, 2394, 1310, 519, 2085, 540, 1079, 1296, 563, 300, 5495, 8025, 910, 808, 9155, 2178, 609, 513, 3501, 2834, 543, 2347, 1085, 1170, 528, 11116, 1775, 4318, 269, 519, 5580, 4522, 5702, 20718, 519, 2539, 4522, 543, 1305, 4009, 547, 519, 28287, 269, 7102, 11539, 568, 3810, 24379, 269, 29726, 1360, 2178, 267, 2523, 519, 666, 1149, 267, 799, 616, 9058, 538, 2450, 585, 513, 1507, 2915, 269, 2052, 1149, 3514, 1134, 1996, 1142, 824, 267, 547, 2285, 519, 6574, 2139, 8066, 543, 5309, 5109, 7060, 269, 18738, 540, 519, 5023, 3109, 610, 4158, 25549, 563, 301, 4488, 298, 910, 15020, 16757, 267, 1134, 2919, 543, 2178, 267, 6029, 1390, 1379, 269, 4270, 1305, 883, 519, 17525, 454, 293, 16800, 12702, 11286, 8991, 910, 9701, 619, 1134, 9788, 1394, 855, 711, 5230, 269, 5983, 5586, 338, 2110, 609, 10373, 16757, 1646, 543, 5642, 267, 1305, 2647, 6306, 543, 9221, 4947, 1134, 1524, 1063, 873, 269, 5983, 15767, 547, 1246, 1899, 540, 9221, 609, 3952, 15738, 4464, 610, 5594, 21286, 950, 7555, 269, 17020, 344, 7953, 3810, 24379, 454, 289, 7495, 312, 910, 7043, 267, 2178, 543, 8465, 28937, 1134, 16204, 2426, 543, 5180, 267, 9221, 1134, 2919, 543, 1134, 1577, 1524, 1063, 2062, 5586, 338, 282, 1394, 2864, 1970, 693, 17525, 2348, 513, 13581, 18746, 7455, 543, 513, 7222, 2895, 936, 519, 3138, 1231, 267, 13581, 16795, 6749, 689, 1283, 540, 3138, 514, 547, 3597, 540, 2766, 269, 7982, 14752, 1134, 1660, 743, 539, 563, 295, 18853, 12702, 11286, 8991, 910, 13130, 5586, 338, 513, 2370, 3476, 982, 2062, 5586, 338, 2864, 2647, 6306, 267, 855, 711, 3262, 856, 538, 606, 796, 11499, 6073, 267, 25427, 338, 1134, 2919, 269, 853, 604, 548, 2587, 783, 1540, 267, 554, 4169, 1134, 1577, 1524, 563, 25539, 4953, 910, 18471, 543, 1134, 14950, 4765, 269, 13130, 10623, 564, 4130, 982, 2062, 10623, 564, 269, 715, 5661, 4158, 855, 8795, 538, 12094, 2687, 547, 7990, 540, 1560, 282, 25065, 610, 1930, 3952, 3810, 24379, 563, 14011, 6579, 910, 13298, 2110, 267, 689, 5216, 547, 4557, 6279, 267, 2864, 5394, 693, 519, 3597, 267, 3478, 23198, 585, 827, 476, 1015, 9492, 781, 630, 275, 1231, 264, 543, 512, 1653, 532, 1055, 547, 513, 1448, 269, 8253, 27390, 610, 1225, 1194, 538, 1022, 1259, 855, 609, 513, 7455, 899, 513, 1085, 574, 10560, 267, 519, 9133, 267, 950, 9599, 1373, 538, 513, 13902, 1899, 609, 519, 3597, 540, 519, 2766, 269, 5590, 9444, 1932, 1164, 6862, 1932, 1970, 269, 1879, 711, 9599, 568, 5645, 575, 2905, 513, 2370, 1657, 519, 1560, 1377, 563, 16598, 3951, 19072, 10976, 30121, 910, 16200, 2786, 791, 13955, 689, 15493, 267, 4758, 513, 31402, 1863, 543, 2653, 1193, 728, 267, 8757, 4464, 693, 519, 4395, 269, 589, 13888, 588, 559, 1540, 5577, 4771, 610 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 29224, 1747, 593, 3618, 888, 268, 1215, 1164, 666, 513, 8611, 1205, 1354, 596, 5884, 888, 268, 4208, 1281, 8611, 2333, 693, 3781, 888, 268, 1548, 2837, 568, 4411, 2614, 547, 6146, 596, 888, 268, 2052, 596, 19068, 547, 2669, 538, 707, 3207, 888, 268, 1215, 4411, 568, 1932, 4411, 585, 513, 1480, 888, 268, 1215, 4411, 540, 1216, 666, 6146, 596, 888, 268, 1548, 568, 519, 9803, 1560, 2837, 1354, 596, 5884, 888, 268, 1772, 513, 476, 9083, 8611, 3983, 888, 268, 2052, 513, 1480, 7639, 513, 476, 13040, 4110, 8611, 888, 268, 1548, 568, 519, 5207, 2837, 513, 1480, 666, 723, 888, 268, 1215, 3728, 1131, 596, 5884, 538, 4110, 4365, 888, 268, 1548, 2837, 568, 5906, 888, 268, 1548, 4523, 952, 707, 2837, 568, 476, 13040, 888, 268, 2052, 513, 1480, 7639, 476, 9610, 5232, 888, 268, 2052, 3425, 936, 17742, 888, 268, 1772, 476, 4200, 269, 272, 513, 8611, 888, 1432, 568, 519, 5207, 2837, 540, 1480, 1560, 888, 12893, 5232, 281, 2201, 5147, 476, 1015, 267, 476, 2735, 271, 267, 476, 7367, 4458, 6040, 4024, 773, 13643, 540, 24611, 729, 15861, 547, 519, 6413, 609, 3002, 560, 6593, 543, 513, 2837, 540, 476, 12893, 5232, 18278, 563, 3891, 6170, 476, 2190, 2395, 538, 519, 6413, 543, 15068, 563, 297, 2158, 6585, 519, 2871, 514, 1145, 3883, 540, 2622, 19475, 8956, 585, 5207, 6592, 1560, 2837, 10756, 3963, 798, 10506, 1832, 621, 865, 4411, 888, 2026, 28198, 7575, 689, 2627, 547, 2627, 267, 621, 3444, 8764, 919, 873, 269, 1677, 8396, 713, 3262, 540, 2068, 543, 3968, 538, 519, 6413, 4055, 267, 4411, 5210, 543, 1970, 11195, 2061, 28198, 593, 10322, 28895, 7252, 267, 1930, 16398, 267, 543, 5665, 3937, 563, 1432, 2837, 568, 14603, 547, 3425, 888, 4510, 11019, 290, 630, 9340, 269, 273, 11019, 293, 264, 610, 811, 1107, 20290, 6157, 2669, 786, 2049, 282, 2705, 267, 1004, 723, 1044, 1634, 547, 7639, 909, 547, 476, 5379, 269, 276, 11019, 290, 630, 12893, 269, 278, 11019, 293, 1040, 476, 6246, 11019, 290, 630, 11820, 269, 275, 11019, 293, 264, 1107, 28611, 2669, 267, 610, 972, 949, 581, 3978, 2634, 3441, 267, 6024, 5996, 6160, 687, 543, 8710, 563, 1692, 3905, 568, 1932, 3905, 585, 3425, 547, 7639, 888, 763, 2164, 6700, 602, 267, 609, 519, 948, 540, 513, 7535, 540, 1216, 543, 513, 3532, 10178, 267, 513, 1480, 1223, 10703, 643, 2406, 20496, 3002, 540, 909, 547, 476, 9610, 5232, 18278, 538, 2011, 609, 476, 1015, 2600, 11195, 563, 1432, 568, 519, 29224, 1747, 593, 3618, 888, 5719, 987, 9503, 14722, 1869, 723, 547, 19472, 519, 2542, 540, 476, 9873, 5232, 18278, 593, 10732, 267, 519, 6697, 540, 476, 7918, 5232, 17622, 269, 769, 519, 2442, 9345, 267, 12280, 9503, 538, 8828, 4993, 568, 519, 29224, 1747, 593, 3618, 563, 1692, 1164, 666, 513, 8611, 1205, 1354, 596, 5884, 888, 300, 843, 610, 9793, 2829, 540, 8611, 630, 1575, 547, 476, 10755, 11019, 293, 1496, 2412, 269, 4649, 11019, 290, 8079, 2014, 8467, 610, 25874, 855, 616, 711, 538, 2933, 513, 3978, 3463, 547, 1072, 269, 2859, 3978, 905, 951, 267, 538, 799, 1560, 2837, 14380, 547, 476, 10482, 11019, 293, 630, 5655, 269, 2420, 11019, 290, 264, 610, 811, 267, 666, 1267, 538, 5996, 6160, 687, 543, 2669, 563, 3963, 1281, 8611, 2333, 693, 3781, 888, 4263, 3781, 267, 972, 568, 1447, 23280, 538, 707, 1973, 269, 1306, 513, 1267, 267, 707, 3043, 1973, 2281, 11593, 3713, 543, 4339, 5563, 538, 707, 1560, 693, 713, 942, 267, 1008, 3183, 519, 2589, 540, 519, 3968, 547, 2627, 267, 971, 607, 8611, 267, 20316, 267, 669, 1571, 267, 610, 24852, 269, 4475, 267, 596, 1745, 7210, 518, 1282, 519, 3781, 563, 1432, 2837, 568, 4411, 2614, 547, 6146, 596, 888, 29797, 1278, 8926, 568, 513, 2783, 4547, 593, 950, 519, 1560, 2837, 12772, 547, 1447, 982, 476, 4817, 13790, 269, 898, 666, 6146, 563, 4692, 596, 19068, 547, 2669, 538, 707, 3207, 888, 29797, 1278, 8926, 30147, 5540, 519, 2634, 267, 8401, 1062, 267, 543, 824, 15629, 3252, 1765, 4754, 3533, 1291, 547, 2669, 267, 1256, 538, 707, 1378, 1753, 267, 7338, 27347, 267, 606, 6595, 4915, 10629, 693, 519, 25350, 18669, 267, 29808, 563, 1692, 4411, 568, 1932, 4411, 585, 513, 1480, 888, 29797, 1278, 8926, 568, 513, 2564, 6595, 602, 4386, 950, 707, 1560, 19380, 3002, 5488, 982, 621, 666, 3132, 3002, 267, 4929, 513, 5906, 569, 1970, 1560, 2837, 269, 16453, 1560, 2837, 568, 1472, 476, 7176, 269, 277, 674, 630, 4391, 595, 1040, 14523, 1278, 8926, 630, 6062, 1790, 4141, 6874, 295, 7838, 24578, 268, 7795, 264, 4386, 607, 707, 1560, 2837, 8813, 2630, 476, 4817, 674, 630, 3374, 595, 1916, 1692, 4411, 540, 1216, 666, 6146, 596, 888, 3891, 7012, 1406, 9849, 513, 1272, 329, 871, 564, 543, 646, 5747, 1510, 2479, 17774, 5217, 1848, 4340, 547, 4681, 689, 519, 476, 1220, 279, 1382, 1788, 12019, 4826, 645, 2393, 322, 2086, 267, 4411, 1216, 19754, 3533, 543, 621, 3085, 1406, 1256, 723, 547, 581, 602, 4411, 630, 3286, 896, 476, 3583, 5232, 674, 1916, 1432, 568, 519, 9803, 1560, 2837, 1354, 596, 5884, 888, 4263, 476, 11011, 674, 630, 3451, 595, 1070, 596, 666, 1995, 993, 5886, 807, 269, 2311, 476, 11025, 674, 630, 2764, 595, 264, 596, 666, 6336, 9637, 269, 12989, 476, 3583, 674, 630, 2641, 595, 1070, 596, 616, 1767, 547, 723, 7096, 3834, 1278, 8926, 543, 2669, 666, 2049, 267, 27517, 6390, 1767, 563, 3674, 513, 476, 9083, 8611, 3983, 888, 7212, 621, 949, 711, 581, 6899, 267, 513, 2837, 540, 909, 547, 476, 9083, 13790, 568, 3622, 2922, 538, 4079, 269, 769, 1249, 267, 1034, 2635, 4079, 666, 1256, 20496, 513, 8611, 607, 1164, 607, 476, 9818, 13790, 547, 476, 10441, 13790, 585, 2110, 5712, 540, 942, 1510, 2348, 1022, 1713, 2042, 269, 10610, 5210, 2356, 2132, 547, 3339, 2899, 519, 4576, 4422, 2476, 563, 4692, 513, 1480, 7639, 513, 476, 13040, 4110, 8611, 888, 288, 1560, 2837, 540, 476, 10441, 5232, 6920, 8594, 267, 476, 10755, 5232, 568, 538, 519, 4214, 540, 3002, 8482, 543, 513, 2837, 540, 476, 13040, 5232, 1223, 1267, 538, 26464, 1418, 3441, 610, 2669, 563, 1432, 568, 519, 5207, 2837, 513, 1480, 666, 723, 888, 10482, 269, 1691, 13790, 28694, 2837, 281, 476, 10482, 269, 1691, 13790, 634, 5021, 1560, 2837, 513, 1480, 666, 7639, 568, 476, 10482, 269, 1691, 13790, 269, 2311, 2362, 5210, 519, 1560, 7140, 883, 26545, 16940, 5798, 281, 5946, 616, 3954, 25733, 543, 519, 2634, 4991, 8697, 9048, 1706, 2406, 563, 1692, 3728, 1131, 596, 5884, 538, 4110, 4365, 888, 290, 7034, 849, 5359, 602, 519, 2179, 540, 942, 621, 1131, 1491, 585, 2576, 547, 19068, 547, 2669, 5673, 593, 519, 1808, 2175, 267, 968, 8117, 2669, 666, 2049, 538, 896, 606, 5662, 952, 2175, 616, 5906, 2614, 1848, 4340, 547, 519, 2817, 16661, 6796, 267, 968, 29797, 1278, 8926, 666, 2049, 538, 5210, 607, 3636, 607, 476, 2568, 13790, 267, 3226, 538, 1216, 610, 6693, 1432, 2837, 568, 5906, 888, 3849, 6699, 269, 11910, 707, 4387, 952, 707, 2837, 568, 476, 9818, 674, 630, 4375, 269, 275, 595, 264, 610, 2362, 269, 16418, 7525, 2564, 3007, 952, 1022, 540, 891, 4191, 610, 2589, 9311, 625, 513, 8611, 281, 27275, 15677, 563, 1432, 4523, 952, 707, 2837, 568, 476, 13040, 888, 5629, 513, 8611, 4422, 3564, 519, 1164, 1377, 267, 606, 2937, 13788, 5906, 8611, 2157, 630, 10441, 674, 1107, 476, 13040, 674, 1040, 4495, 513, 8611, 10301, 519, 5906, 1377, 267, 849, 1634, 607, 5409, 6853, 516, 19333, 267, 621, 568, 513, 2564, 6595, 543, 596, 1058, 3343, 2564, 1416, 5612, 563, 4692, 513, 1480, 7639, 476, 9610, 5232, 888, 7197, 3425, 786, 7985, 5409, 750, 8926, 1310, 476, 1015, 3764, 538, 5393, 18519, 267, 476, 9610, 24266, 6363, 16366, 630, 2568, 1673, 1122, 4181, 4211, 16364, 264, 3002, 269, 12280, 676, 4411, 568, 9875, 547, 1642, 574, 527, 563, 4692, 3425, 936, 17742, 888, 28959, 25874, 568, 513, 2783, 4171, 2589, 949, 1331, 5230, 24852, 543, 513, 4028, 13942, 267, 513, 1267, 540, 707, 1560, 23986, 908, 269, 898, 779, 835, 540, 1614, 3002, 5829, 25102, 27689, 267, 609, 3002, 25574, 1373, 519, 7646, 652, 543, 3002, 560, 6593, 1373, 519, 1034, 4049, 269, 2560, 18641, 267, 3002, 25874, 568, 28824, 563, 3674, 476, 4200, 269, 272, 513, 8611, 888, 2304, 2937, 4440, 814, 513, 8611, 950, 519, 2837, 568, 1657, 476, 4200, 13790, 547, 476, 4200, 269, 276, 13790, 630, 4391, 269, 273, 9180, 547, 476, 4391, 269, 276, 9180, 1070, 4470, 593, 519, 942, 540, 1554, 269, 0, 9209, 3797, 568, 513, 1106, 540, 21911, 602, 3096, 1148, 5137, 607, 513, 7154, 540, 2792, 269, 1703, 616, 16293, 945, 616, 16887, 8036, 543, 11727, 547, 2259, 1148, 3797, 609, 2550, 7092, 689, 513, 2647, 2039, 540, 2175, 269, 1703, 616, 1082, 1004, 945, 4324, 689, 1148, 3797, 267, 971, 607, 1004, 7092, 689, 2790, 267, 8965, 610, 3929, 1072, 2042, 267, 1565, 610, 2168, 9124, 267, 6219, 6057, 4713, 267, 2634, 2987, 329, 1722, 610, 14715, 2175, 543, 2168, 4576, 563, 763, 11588, 540, 3203, 10657, 4438, 24251, 9615, 454, 9209, 3797, 2636, 1004, 10010, 609, 6219, 6057, 547, 1205, 538, 5905, 609, 741, 6418, 1582, 543, 7654, 1256, 513, 2362, 1379, 269, 898, 2636, 873, 606, 17752, 547, 2769, 4606, 602, 3112, 3362, 581, 4857, 610, 2322, 883, 1913, 269, 901, 1826, 540, 22192, 3797, 666, 948, 6318, 1582, 12635, 543, 2488, 519, 1367, 609, 1007, 2833, 3564, 3110, 3770, 543, 11213, 8965, 13467, 269, 3203, 3797, 666, 849, 948, 606, 1367, 547, 1294, 602, 972, 616, 4244, 2081, 547, 6001, 1510, 1210, 5061, 610, 4568, 563, 9209, 3797, 949, 581, 3177, 585, 2516, 267, 610, 585, 2043, 267, 4470, 593, 519, 1808, 2115, 540, 519, 3461, 269, 4014, 1082, 2550, 1265, 1148, 3797, 11791, 267, 621, 1058, 581, 6854, 538, 2247, 602, 621, 568, 711, 513, 16351, 2534, 610, 606, 1148, 3992, 855, 3079, 513, 3797, 8400, 609, 513, 3483, 269, 3203, 3797, 1281, 711, 2154, 2550, 547, 723, 1022, 3105, 1995, 609, 1148, 269, 901, 1826, 540, 3797, 568, 1031, 547, 1020, 3860, 4082, 267, 6536, 11348, 538, 18517, 543, 960, 998, 14375, 4655, 998, 519, 3860, 1184, 269, 0, 306, 1460, 2081, 547, 3035, 3761, 5832, 6940, 454, 293, 3241, 539, 676, 7082, 7569, 267, 1775, 2483, 763, 4264, 3761, 5832, 814, 1831, 513, 4105, 1107, 543, 2479, 811, 7298, 1107, 3693, 540, 1514, 9746, 5539, 563, 293, 3241, 539, 676, 7082, 7569, 267, 2810, 6042, 543, 513, 20387, 1870, 2013, 267, 23376, 3761, 11800, 538, 513, 811, 4264, 4287, 814, 6738, 689, 3288, 644, 762, 20440, 547, 1270, 15363, 585, 1279, 3856, 11091, 563, 288, 4264, 3761, 5832, 568, 827, 2484, 811, 982, 519, 1604, 267, 1498, 602, 779, 1141, 6800, 1522, 1445, 741, 3007, 269, 20885, 568, 513, 1476, 26475, 540, 1514, 267, 8733, 543, 2804, 5054, 269, 589, 4264, 3761, 5832, 1590, 2057, 18731, 1312, 519, 1604, 543, 519, 1870, 3294, 563, 2005, 779, 849, 1271, 547, 21028, 602, 513, 968, 22529, 1043, 892, 3761, 5832, 3884, 1406, 8209, 519, 1482, 3364, 607, 513, 968, 338, 20980, 892, 3761, 5832, 269, 589, 3743, 3761, 5832, 3335, 5849, 621, 13333, 1369, 782, 3656, 543, 5683, 6724, 269, 901, 3085, 1406, 14751, 6940, 267, 2705, 269, 589, 4264, 3761, 5832, 3217, 883, 2272, 2825, 543, 6848, 4704, 2798, 269, 634, 4264, 5832, 3340, 602, 782, 4891, 2015, 875, 741, 3157, 543, 3527, 666, 581, 6462, 676, 2470, 543, 2486, 936, 519, 1279, 2165, 563, 2467, 779, 1100, 2656, 543, 2653, 2619, 547, 6940, 267, 855, 519, 1318, 3761, 5832, 3435, 666, 948, 707, 1870, 11441, 4724, 267, 543, 5555, 3035, 267, 513, 5377, 1899, 3989, 676, 711, 1175, 7443, 855, 849, 676, 1004, 543, 519, 4541, 563, 8620, 513, 2143, 4786, 454, 28012, 267, 952, 4986, 267, 666, 581, 12913, 1369, 707, 3761, 5832, 952, 596, 1810, 1406, 723, 3730, 15287, 540, 621, 269, 1744, 1442, 5944, 1906, 3549, 2965, 723, 2143, 5784, 540, 741, 3003, 3761, 11800, 267, 799, 616, 811, 1950, 543, 2518, 982, 2479, 269, 29570, 707, 3003, 3761, 5832, 568, 519, 4358, 1448, 269, 589, 2298, 4786, 540, 707, 3761, 5832, 786, 1450, 596, 547, 2697, 5222, 267, 4220, 543, 10256, 540, 3653, 563, 1607, 968, 320, 518 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3963, 568, 1855, 582, 8811, 340, 659, 534, 1271, 888, 9209, 604, 9711, 1336, 538, 519, 2749, 543, 4609, 2066, 6792, 2303, 1855, 582, 8811, 340, 659, 534, 729, 513, 14547, 4123, 1558, 24227, 538, 922, 6305, 269, 769, 1880, 267, 519, 2749, 29633, 5386, 2116, 22941, 2645, 267, 1519, 27490, 543, 546, 691, 9843, 269, 1855, 582, 8811, 340, 659, 534, 1185, 513, 26771, 593, 2116, 22941, 4123, 9789, 1034, 1271, 16005, 538, 12379, 334, 15330, 3821, 729, 4092, 2282, 519, 2749, 563, 1432, 5949, 538, 519, 13527, 540, 2372, 28856, 531, 1723, 520, 331, 888, 763, 3171, 9312, 4149, 518, 25871, 30958, 729, 26151, 267, 782, 519, 18810, 941, 14324, 689, 519, 11454, 267, 543, 1776, 3760, 729, 3710, 547, 2498, 864, 519, 1795, 1228, 6693, 1432, 1705, 519, 25069, 14369, 1589, 540, 1855, 582, 8811, 340, 659, 534, 888, 5938, 582, 8811, 340, 659, 534, 5641, 513, 1279, 2686, 14692, 998, 1686, 543, 267, 476, 272, 267, 1822, 1296, 1310, 922, 8445, 267, 519, 2063, 1390, 2776, 4211, 565, 3518, 1014, 10340, 267, 519, 25069, 14369, 267, 26060, 519, 2749, 607, 519, 5169, 540, 10340, 269, 1358, 5156, 1855, 582, 8811, 340, 659, 534, 729, 1141, 519, 10971, 1185, 2813, 519, 1459, 5736, 267, 1519, 519, 11359, 543, 1459, 3141, 563, 24078, 519, 13527, 540, 2372, 28856, 531, 1723, 520, 331, 10032, 888, 17746, 2315, 540, 519, 1101, 11454, 3459, 28069, 1310, 476, 15171, 276, 267, 543, 621, 729, 32206, 3670, 2053, 269, 634, 11454, 729, 10032, 676, 519, 5053, 538, 476, 13923, 272, 547, 1118, 1259, 585, 519, 1007, 6792, 4975, 26720, 269, 634, 3135, 568, 851, 540, 519, 19866, 4741, 540, 6792, 4975, 267, 799, 729, 3773, 547, 519, 20648, 2622, 11595, 5903, 538, 476, 2735, 278, 563, 1692, 2462, 568, 519, 2372, 28856, 531, 1723, 520, 331, 18158, 888, 763, 4102, 18158, 267, 543, 519, 4102, 15224, 2479, 9112, 267, 568, 519, 2372, 28856, 531, 322, 6759, 520, 331, 30958, 693, 932, 565, 3121, 632, 681, 643, 611, 822, 807, 267, 476, 6200, 5998, 630, 8287, 5195, 264, 5045, 3887, 770, 540, 6792, 4975, 269, 898, 568, 476, 7918, 544, 630, 10082, 10264, 264, 7381, 267, 543, 922, 3490, 6227, 606, 1858, 540, 5176, 476, 1240, 269, 273, 688, 630, 3393, 14143, 1916, 7617, 2696, 1705, 519, 1855, 582, 8811, 340, 659, 534, 10847, 888, 307, 331, 531, 665, 543, 2372, 28856, 531, 1723, 520, 331, 616, 1851, 519, 1034, 1271, 24587, 538, 1855, 582, 8811, 340, 659, 17505, 269, 670, 826, 16852, 23176, 582, 331, 267, 519, 6196, 2696, 267, 945, 729, 3743, 585, 3595, 543, 729, 26902, 5792, 5097, 538, 519, 4357, 12106, 269, 1261, 729, 519, 19121, 23920, 540, 2777, 543, 5873, 628, 563, 8489, 568, 519, 808, 16331, 541, 693, 1855, 582, 8811, 340, 659, 534, 888, 310, 273, 268, 9826, 280, 281, 808, 16331, 541, 25738, 513, 598, 577, 634, 20066, 540, 519, 808, 16331, 1513, 568, 4092, 5612, 547, 519, 7178, 540, 519, 1773, 18054, 540, 519, 9855, 693, 1855, 582, 8811, 340, 659, 534, 269, 634, 1034, 7986, 544, 1116, 568, 602, 540, 513, 795, 16331, 541, 25738, 513, 905, 9312, 598, 577, 7387, 602, 5671, 1186, 609, 1973, 630, 14808, 269, 654, 273, 268, 9826, 280, 30155, 1432, 568, 519, 4583, 544, 1116, 693, 1855, 582, 8811, 340, 659, 534, 888, 310, 273, 268, 9826, 280, 281, 808, 16331, 541, 25738, 513, 598, 577, 763, 20066, 540, 519, 808, 16331, 1513, 568, 4092, 5612, 547, 519, 7178, 540, 519, 1773, 18054, 540, 519, 9855, 693, 1855, 582, 8811, 340, 659, 534, 269, 634, 1034, 7986, 544, 1116, 568, 602, 540, 513, 795, 16331, 541, 25738, 513, 905, 9312, 598, 577, 7387, 602, 5671, 1186, 609, 1973, 630, 14808, 269, 654, 273, 268, 9826, 280, 1916, 1432, 568, 1855, 582, 8811, 340, 659, 534, 11454, 540, 905, 9312, 1583, 25871, 888, 5938, 582, 8811, 340, 659, 534, 1107, 13527, 540, 519, 3171, 9312, 5395, 25871, 1107, 11265, 1469, 547, 519, 1318, 540, 519, 3268, 269, 769, 3735, 476, 1220, 274, 513, 15993, 9944, 519, 13527, 540, 519, 3171, 9312, 5395, 25871, 729, 18417, 4362, 676, 590, 1120, 1470, 717, 6759, 1889, 345, 932, 5451, 557, 345, 543, 7325, 773, 717, 9579, 7637, 267, 18840, 5505, 540, 519, 2817, 4659, 540, 28668, 543, 3778, 630, 2562, 288, 295, 1916, 1432, 568, 519, 11454, 540, 519, 808, 16331, 541, 538, 932, 545, 1156, 898, 5633, 888, 763, 13527, 540, 519, 808, 16331, 541, 538, 932, 545, 1156, 898, 5633, 729, 3710, 1063, 519, 1296, 476, 1911, 271, 543, 476, 12893, 271, 269, 898, 3217, 922, 2012, 689, 513, 5311, 540, 795, 16331, 1513, 4092, 538, 4395, 540, 519, 2497, 267, 621, 5161, 540, 1114, 6106, 602, 616, 5704, 2299, 20077, 543, 1397, 1114, 2010, 540, 2592, 269, 0, 8368, 540, 12937, 454, 268, 8490, 5463, 12365, 1436, 454, 268, 21150, 617, 1221, 12539, 454, 268, 7358, 1049, 12539, 454, 21615, 617, 1221, 3327, 267, 689, 2679, 2326, 543, 4070, 267, 13408, 827, 513, 3791, 540, 519, 3710, 1604, 781, 8101, 2698, 3327, 11640, 267, 543, 602, 2671, 568, 4397, 547, 1332, 607, 5656, 7678, 4724, 2362, 10512, 4398, 269, 9717, 602, 693, 2547, 476, 279, 260, 540, 2518, 23435, 294, 5434, 949, 4867, 581, 11911, 547, 5663, 2679, 4070, 2326, 267, 4227, 22993, 3327, 568, 606, 1271, 2916, 17846, 4640, 269, 2755, 10512, 3327, 666, 581, 4389, 936, 942, 607, 513, 1267, 540, 7598, 2994, 971, 607, 1648, 4398, 18175, 10232, 543, 519, 946, 540, 7791, 1648, 2959, 267, 22993, 3327, 568, 19526, 538, 607, 4166, 607, 519, 2679, 568, 3710, 269, 6787, 1007, 4070, 610, 22058, 566, 267, 621, 779, 2565, 547, 2232, 543, 1544, 547, 2569, 22993, 3327, 2038, 1282, 519, 4058, 543, 1374, 11775, 540, 513, 1788, 269, 10829, 4328, 22993, 3327, 3340, 1620, 513, 1906, 1883, 2035, 281, 6820, 654, 9879, 15783, 267, 19940, 8490, 5020, 18888, 10495, 267, 7025, 8605, 13207, 25730, 267, 543, 8605, 21145, 16390, 563, 21615, 617, 1221, 12539, 17943, 543, 26479, 454, 294, 310, 303, 6257, 513, 1570, 779, 2698, 9295, 547, 2916, 1689, 543, 568, 835, 540, 519, 2825, 1764, 6688, 6027, 676, 5020, 18888, 10495, 630, 299, 7563, 264, 2645, 269, 28047, 303, 2636, 2326, 547, 581, 3379, 538, 2474, 540, 741, 23435, 294, 5434, 3379, 547, 519, 23435, 294, 5434, 540, 835, 9522, 540, 2910, 273, 269, 5221, 2518, 8337, 568, 3361, 5097, 676, 519, 8781, 540, 8093, 10173, 267, 28047, 303, 568, 9244, 17047, 609, 1079, 824, 2825, 1764, 6688, 9141, 676, 2799, 9830, 540, 23435, 19199, 538, 519, 5790, 281, 3679, 2305, 543, 1159, 690, 5250, 563, 288, 654, 13993, 7563, 568, 2147, 547, 513, 1587, 700, 7563, 267, 855, 519, 1587, 568, 519, 2679, 269, 589, 2347, 654, 13993, 7563, 2882, 782, 2326, 538, 519, 2679, 543, 519, 6198, 1770, 1522, 581, 968, 1492, 3003, 2679, 689, 1374, 547, 23542, 819, 585, 513, 476, 2004, 4458, 3028, 1272, 3034, 2690, 811, 1344, 267, 1294, 590, 10499, 944, 779, 5020, 18888, 10495, 543, 29844, 2985, 563, 2304, 661, 11520, 568, 513, 1907, 3850, 9755, 547, 2490, 3102, 267, 3791, 18407, 268, 591, 1881, 31446, 2026, 883, 13387, 17083, 10297, 585, 741, 2472, 269, 1323, 661, 11520, 31825, 519, 2825, 543, 2773, 5222, 540, 513, 1587, 610, 513, 1570, 593, 513, 10715, 4493, 269, 8409, 5222, 616, 2356, 6027, 676, 28047, 303, 269, 1280, 4070, 2326, 543, 3785, 267, 661, 11520, 338, 3986, 1232, 12365, 1436, 3646, 676, 1818, 621, 2009, 547, 5635, 519, 28047, 303, 5222, 540, 1114, 2326, 267, 8716, 519, 5542, 540, 2539, 1764, 2326, 563, 7968, 17762, 949, 849, 1331, 1344, 971, 607, 1587, 5820, 267, 4199, 946, 267, 543, 5663, 1184, 3877, 269, 14716, 1570, 661, 11520, 338, 616, 2356, 4570, 585, 2947, 1296, 267, 543, 616, 6383, 1759, 593, 4441, 971, 607, 18869, 476, 9610, 2412, 270, 9610, 4510, 267, 18869, 476, 9610, 1839, 267, 13673, 476, 15647, 6860, 267, 610, 18869, 476, 25546, 1789, 4441, 563, 2690, 811, 1344, 267, 1294, 590, 10499, 944, 779, 7025, 8605, 13207, 25730, 630, 7968, 17762, 264, 2985, 563, 13126, 281, 8490, 3690, 10337, 454, 13126, 281, 12539, 15557, 17072, 454, 268, 5020, 9979, 5933, 547, 581, 3769, 538, 519, 700, 7563, 543, 18867, 538, 519, 661, 11520, 454, 268, 8177, 6688, 547, 581, 3769, 538, 1840, 547, 28047, 303, 454, 268, 4578, 602, 568, 1808, 547, 519, 3761, 5832, 267, 543, 799, 568, 2872, 2647, 630, 10090, 545, 994, 268, 595, 2642, 6703, 454, 21615, 617, 1221, 12539, 22020, 454, 268, 19940, 8490, 454, 2662, 1961, 8490, 5020, 18888, 10495, 630, 310, 13993, 7563, 994, 6524, 7598, 22993, 3327, 5786, 2994, 267, 621, 779, 16122, 547, 7447, 519, 2679, 779, 24579, 915, 3327, 11640, 543, 972, 616, 1614, 4485, 585, 3257, 602, 267, 4470, 593, 519, 8244, 540, 1239, 267, 1377, 540, 4674, 267, 543, 2877, 3877, 269, 634, 1101, 568, 513, 2347, 654, 13993, 7563, 267, 1519, 2679, 2326, 267, 4070, 543, 1439, 540, 1272, 2238, 269, 589, 654, 13993, 7563, 568, 519, 1034, 4977, 1505, 547, 7447, 22993, 3327, 543, 28047, 303, 538, 5656, 269, 1879, 2944, 2038, 538, 519, 1374, 11775, 267, 513, 654, 13993, 7563, 666, 1291, 547, 519, 6574, 20214, 538, 22993, 3327, 269, 1280, 1383, 267, 513, 654, 13993, 7563, 949, 1683, 4030, 602, 1291, 519, 1788, 2319, 547, 2015, 1896, 1374, 3681, 585, 1114, 7293, 1949, 267, 865, 602, 519, 1374, 609, 519, 9803, 22993, 3327, 666, 581, 9138, 563, 288, 2034, 1505, 547, 7447, 22993, 3327, 267, 952, 513, 654, 13993, 7563, 568, 711, 15164, 267, 568, 547, 2445, 661, 11520, 338, 543, 3950, 519, 9424, 267, 10672, 267, 16551, 267, 543, 824, 1587, 3344, 1210, 519, 2241, 9819, 538, 7612, 476, 272, 543, 2519, 593, 519, 1898, 2679, 2609, 7396, 538, 7612, 476, 273, 269, 15380, 267, 7293, 2326, 899, 6405, 543, 5374, 1118, 909, 519, 5354, 540, 513, 2679, 779, 22993, 3327, 269, 22982, 661, 11520, 338, 547, 19472, 20214, 6059, 1282, 1374, 676, 8506, 519, 4015, 540, 3761, 5832, 1808, 661, 11520, 338, 1282, 27147, 563, 13126, 281, 12539, 15557, 17072, 454, 290, 13072, 281, 2052, 12061, 5071, 454, 288, 3791, 1935, 267, 952, 513, 654, 13993, 7563, 543, 10655, 661, 11520, 338, 616, 711, 15164, 267, 568, 547, 946, 2872, 25939, 547, 7447, 519, 22993, 3327, 540, 513, 2679, 269, 634, 12539, 15557, 17072, 779, 21150, 617, 1221, 12539, 5484, 577, 5658, 5530, 9916, 936, 476, 272, 267, 1822, 2679, 31446, 2026, 543, 11943, 602, 519, 3355, 22993, 3327, 689, 8609, 589, 538, 513, 6093, 1007, 4070, 2679, 568, 1447, 982, 476, 272, 267, 1822, 4846, 2910, 273, 324, 829, 4009, 11281, 630, 5228, 519, 2497, 267, 5748, 267, 543, 26456, 1040, 476, 272, 267, 1822, 4846, 2910, 273, 324, 829, 4009, 11281, 666, 4196, 607, 513, 15977, 585, 1007, 4070, 3785, 3168, 547, 2569, 22993, 3327, 269, 634, 12539, 15557, 17072, 779, 654, 13993, 7563, 5484, 577, 5658, 5530, 642, 273, 786, 4228, 2390, 713, 1382, 547, 3313, 32321, 543, 1462, 10999, 1808, 14541, 12201, 585, 5656, 267, 1949, 267, 543, 32234, 24018, 609, 5812, 9165, 543, 4282, 1239, 563, 21615, 617, 1221, 12539, 22159, 11150, 454, 4407, 8093, 4492, 13674, 693, 1114, 1272, 4783, 5933, 13054, 519, 3119, 2707, 540, 23435, 294, 5434, 585, 1034, 3906, 267, 23435, 294, 17846, 3322, 513, 3376, 2039, 540, 2994, 602, 979, 1134, 3564, 1648, 543, 27147, 563, 268, 11154, 633, 19074, 540, 4540, 5656, 267, 3079, 540, 14335, 1007, 3283, 454, 268, 12539, 13297, 543, 5924, 1210, 1970, 28003, 6405, 30012, 454, 268, 28392, 6236, 3327, 25673, 2326, 971, 607, 6405, 267, 5374, 267, 543, 11956, 454, 268, 29922, 3327, 268, 2425, 6856, 532, 267, 6915, 2861, 2326, 630, 21666, 4859, 994, 268, 1234, 6748, 2326, 454, 268, 4635, 1164, 3146, 7094, 539, 1543, 2326, 454, 268, 3687, 30093, 3653, 454, 268, 19805, 2326, 609, 3476, 1272, 21269, 454, 294, 6347, 779, 22993, 3327, 4507, 585, 5606, 3175, 22159, 2920, 3785, 15407, 513, 4999, 540, 28047, 303, 7182, 543, 661, 11520, 4170, 585, 1978, 16179, 11162, 4070, 1570, 6688, 267, 4358, 609, 6405, 267, 28372, 267, 5374, 267, 543, 4837, 563, 3682, 10810, 618, 540, 8899, 21150, 617, 1221, 12539, 10049, 543, 15733, 454, 1320, 4454, 995, 4058, 543, 1374, 602, 3922, 3278, 1570, 4398, 543, 19074, 24024 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1271, 547, 3142, 2620, 1145, 547, 519, 12092, 269, 1358, 666, 581, 4448, 547, 513, 1978, 1367, 779, 6107, 610, 7622, 4282, 269, 898, 568, 1271, 547, 2874, 540, 519, 4282, 540, 519, 1888, 779, 1272, 269, 4495, 519, 2875, 814, 6444, 6163, 267, 646, 610, 1352, 666, 1310, 602, 1376, 1603, 519, 2347, 12092, 563, 763, 15122, 6898, 616, 11338, 2629, 950, 2870, 513, 6915, 269, 589, 21044, 3948, 568, 513, 2647, 1523, 602, 11225, 519, 9759, 540, 606, 1367, 779, 1272, 269, 1280, 1383, 267, 952, 513, 1268, 1185, 513, 1272, 602, 838, 10165, 476, 6110, 1296, 267, 1352, 610, 646, 1131, 723, 2854, 513, 17728, 267, 799, 6257, 1010, 17017, 7552, 998, 1272, 269, 6787, 606, 1367, 729, 2840, 339, 1117, 538, 476, 1240, 628, 2540, 7977, 610, 5030, 538, 519, 2250, 267, 1010, 610, 1200, 12092, 568, 606, 2500, 7650, 547, 1272, 563, 5629, 27466, 525, 723, 2965, 6074, 741, 1888, 267, 789, 2154, 547, 3132, 513, 15415, 540, 519, 1367, 779, 1272, 269, 4635, 513, 1920, 4759, 585, 513, 4480, 1888, 568, 513, 1390, 1259, 547, 798, 713, 269, 1358, 991, 547, 1382, 519, 1883, 2621, 538, 519, 1367, 779, 1272, 267, 543, 1287, 5965, 891, 593, 513, 15415, 269, 1358, 666, 1331, 6337, 267, 2059, 609, 1202, 18587, 267, 538, 519, 15415, 269, 10801, 713, 5650, 267, 789, 991, 547, 3605, 519, 6163, 540, 741, 1888, 563, 763, 15122, 6898, 616, 1898, 267, 3226, 538, 513, 2875, 779, 12092, 269, 1452, 3616, 25730, 666, 5351, 1053, 1020, 513, 6209, 267, 538, 3829, 6915, 269, 634, 15122, 6898, 616, 1360, 1271, 267, 607, 789, 948, 519, 13588, 3489, 606, 1202, 3187, 2070, 540, 519, 1268, 1373, 12649, 269, 1358, 1058, 10123, 1589, 827, 519, 1888, 540, 519, 6915, 269, 1403, 519, 1888, 540, 519, 1979, 19212, 568, 606, 7164, 1297, 267, 1287, 513, 9661, 1759, 2390, 602, 786, 581, 849, 16866, 543, 20585, 269, 5502, 267, 519, 1650, 2115, 547, 581, 5143, 538, 513, 6073, 602, 2306, 519, 1641, 4743, 635, 325, 344, 563, 288, 1979, 19212, 11129, 547, 581, 3222, 540, 519, 6163, 538, 513, 1641, 779, 1272, 269, 1323, 26249, 1590, 581, 513, 2347, 3561, 540, 519, 1641, 779, 1272, 269, 634, 5856, 1058, 723, 513, 546, 9579, 1782, 4605, 540, 519, 1268, 779, 1272, 269, 634, 27367, 960, 11129, 547, 581, 4277, 269, 769, 1840, 547, 713, 267, 519, 2278, 2115, 547, 10123, 581, 2111, 547, 1921, 1010, 610, 1200, 1915, 543, 1915, 269, 769, 930, 2665, 267, 29946, 616, 2731, 2123, 267, 855, 1866, 616, 8806, 513, 1106, 540, 26249, 563, 763, 9135, 540, 12092, 568, 835, 540, 519, 1034, 9053, 1826, 540, 15923, 1603, 269, 769, 922, 15864, 1826, 267, 22808, 616, 2984, 827, 519, 1272, 540, 513, 1268, 269, 1452, 6589, 616, 3335, 1759, 2390, 1292, 2200, 267, 2705, 789, 666, 11338, 581, 29959, 269, 589, 27367, 960, 1058, 581, 4570, 543, 28102, 269, 1879, 621, 2501, 547, 513, 12092, 540, 513, 28910, 267, 519, 5856, 1058, 2061, 3765, 10517, 6974, 532, 519, 1641, 269, 2201, 1283, 540, 602, 267, 519, 5856, 814, 547, 11760, 519, 2959, 602, 19443, 3132, 3391, 779, 1570, 267, 543, 646, 610, 1352, 1058, 581, 28102, 543, 849, 9243, 538, 1010, 17017, 10385, 563, 763, 2511, 540, 513, 12092, 666, 4268, 14916, 267, 4470, 2390, 519, 6662, 540, 3391, 269, 898, 7173, 5661, 585, 513, 1979, 19212, 547, 17492, 19178, 543, 849, 30164, 3877, 538, 606, 4674, 547, 7866, 519, 7209, 540, 513, 1888, 269, 16480, 267, 6236, 602, 513, 6915, 568, 2356, 2854, 538, 519, 1101, 1367, 267, 519, 1979, 19212, 2115, 547, 10123, 6427, 1344, 547, 2347, 519, 5624, 269, 901, 568, 1813, 547, 519, 1249, 602, 1101, 11804, 6054, 568, 16613, 543, 849, 519, 5856, 1590, 1711, 1344, 547, 2995, 519, 1650, 563, 288, 6915, 568, 5921, 547, 581, 1483, 267, 855, 1979, 20802, 1419, 4413, 610, 17663, 5013, 269, 1358, 4043, 547, 1711, 689, 741, 1360, 1378, 21169, 543, 849, 538, 519, 1101, 1367, 269, 589, 1979, 19212, 779, 1603, 2511, 568, 4749, 4646, 676, 519, 1576, 267, 4008, 267, 607, 1134, 607, 942, 538, 799, 513, 1268, 5030, 269, 2755, 513, 6915, 568, 3622, 7282, 513, 1268, 267, 621, 4749, 13290, 547, 4983, 741, 1915, 269, 4014, 519, 1979, 19212, 568, 711, 3622, 513, 18673, 267, 930, 723, 5910, 2105, 547, 581, 269, 5192, 811, 9623, 454, 763, 6915, 11768, 729, 1101, 1500, 946, 540, 538, 6196, 10255, 543, 7507, 267, 1141, 519, 9135, 568, 5219, 547, 607, 968, 321, 1470, 1848, 634, 4279, 1756, 14087, 1807, 636, 23554, 2801, 676, 12397, 601, 3780, 13605, 657, 630, 4510, 14514, 264, 543, 1773, 583, 1105, 779, 5772, 673, 22032, 630, 3199, 9460, 264, 19017, 476, 4366, 22808, 540, 2442, 9038, 269, 2672, 17662, 3780, 267, 1776, 4936, 5856, 267, 5206, 519, 1101, 17169, 267, 25840, 19332, 269, 1261, 11338, 7768, 12964, 824, 17169, 19777, 538, 519, 4936, 7464, 332, 269, 589, 1906, 540, 891, 22036, 2221, 269, 0, 763, 2504, 540, 4837, 568, 606, 2872, 602, 814, 5185, 2591, 538, 519, 2250, 1906, 1296, 1813, 547, 519, 3668, 540, 8244, 540, 5070, 269, 4595, 5070, 3029, 519, 4493, 585, 519, 5478, 540, 4837, 267, 621, 5526, 602, 5001, 17732, 1223, 1360, 1134, 1764, 4213, 269, 634, 2376, 2630, 13290, 547, 2232, 713, 1966, 543, 875, 621, 949, 1860, 4213, 5001, 563, 14112, 720, 2986, 19371, 28620, 24371, 454, 32481, 519, 1158, 267, 4830, 4213, 1590, 2327, 602, 789, 723, 7123, 2326, 267, 7850, 3854, 267, 543, 513, 9952, 13781, 269, 1452, 616, 782, 1898, 952, 1870, 5411, 616, 547, 581, 2386, 741, 3761, 11800, 616, 2324, 3927, 563, 3719, 1256, 609, 891, 30304, 267, 7965, 666, 8451, 30122, 269, 2290, 540, 891, 568, 519, 1761, 17732, 540, 4837, 799, 666, 2014, 688, 22106, 538, 1082, 6080, 882, 5050, 593, 4837, 585, 741, 1898, 3282, 14569, 609, 16945, 563, 6124, 4837, 19698, 454, 10908, 817, 568, 1031, 547, 1118, 1082, 2472, 538, 938, 5321, 543, 13646, 269, 19371, 9486, 543, 9885, 267, 4837, 7515, 267, 543, 6995, 7515, 782, 7048, 593, 4837, 585, 741, 5347, 8647, 543, 4222, 269, 13068, 610, 512, 842, 539, 14296, 616, 1031, 538, 1818, 6174, 12798, 920, 839, 607, 1134, 607, 1896, 824, 3096, 269, 1452, 3688, 3112, 581, 1500, 1510, 519, 8244, 540, 519, 3119, 1570, 267, 799, 568, 4837, 563, 11997, 1022, 1689, 538, 519, 8244, 540, 4837, 1223, 2014, 20317, 610, 20317, 538, 891, 3688, 269, 1879, 713, 4523, 267, 3549, 6721, 971, 2472, 786, 581, 4547, 547, 741, 19704, 543, 1522, 5555, 723, 547, 2673, 1524, 585, 1434, 269, 769, 930, 2665, 267, 789, 949, 6467, 547, 1818, 1114, 2472, 602, 798, 711, 946, 4837, 267, 855, 713, 4781, 568, 711, 2009, 538, 782, 8320, 563, 2419, 5190, 538, 1374, 543, 4070, 540, 5656, 454, 9743, 718, 566, 540, 4837, 9486, 543, 9885, 538, 1007, 5656, 610, 1256, 7816, 960, 547, 4540, 3283, 568, 513, 4305, 602, 4667, 7168, 2653, 950, 3379, 609, 824, 4070, 1568, 269, 12305, 566, 540, 9486, 610, 9885, 666, 581, 2944, 3533, 267, 855, 713, 5673, 593, 519, 8244, 540, 4837, 538, 1585, 7306, 563, 2252, 519, 4837, 2450, 2877, 585, 4070, 568, 711, 2139, 267, 26767, 786, 581, 7142, 547, 3343, 856, 824, 3681, 267, 799, 949, 1942, 873, 811, 538, 2474, 540, 942, 543, 2724, 269, 901, 786, 849, 1291, 547, 513, 8488, 538, 11264, 519, 1788, 1510, 1022, 8969, 269, 6270, 2042, 666, 2014, 9645, 9271, 547, 3959, 5411, 610, 2679, 2359, 10909, 3238, 609, 519, 22058, 725, 610, 4070, 540, 1007, 5656, 563, 9209, 1235, 946, 1114, 4773, 540, 4837, 267, 799, 616, 1500, 538, 1114, 5546, 543, 7306, 585, 741, 960, 269, 19371, 568, 1031, 607, 606, 1569, 800, 547, 14446, 1818, 267, 642, 1162, 267, 24112, 267, 543, 824, 3688, 602, 2154, 519, 5898, 540, 2603, 542, 538, 513, 4837, 11480, 3640, 547, 9148, 875, 789, 1413, 269, 4634, 952, 5159, 4782, 547, 946, 513, 1880, 2186, 540, 4837, 1317, 540, 922, 4241, 7990, 610, 9403, 267, 513, 17732, 538, 519, 8244, 540, 971, 4837, 786, 4734, 873, 609, 1100, 4781, 855, 547, 6467, 547, 824, 5686, 799, 949, 711, 723, 519, 1482, 1198, 563, 10908, 817, 568, 606, 1898, 25499, 540, 1286, 9486, 543, 2842, 3333, 3658, 269, 769, 519, 2250, 1906, 1296, 267, 972, 814, 1044, 513, 17732, 540, 4837, 1813, 547, 1585, 4128, 269, 1403, 713, 5012, 547, 513, 2407, 8397, 20317, 267, 1286, 9755, 786, 581, 2838, 547, 556, 20459, 741, 6272, 543, 723, 1100, 4781, 855, 547, 1118, 9486, 602, 616, 711, 1500, 689, 4837, 269, 634, 2872, 949, 3442, 547, 946, 15229, 3079, 1317, 891, 2326, 666, 2285, 2147, 2164, 607, 4837, 1510, 519, 2042, 1282, 2504, 1813, 547, 3668, 540, 8244, 563, 10908, 817, 568, 1031, 547, 1118, 31316, 1115, 267, 29826, 267, 7515, 267, 642, 1162, 267, 543, 824, 1455, 3688, 538, 5321, 610, 4213, 269, 7102, 17732, 540, 4837, 666, 2014, 7965, 1317, 2504, 786, 581, 8572, 547, 1832, 909, 609, 3747, 799, 1223, 1118, 1896, 9755, 6336, 8907, 563, 1432, 2052, 2142, 667, 821, 1677, 21079, 634, 11485, 2986, 19371, 10374, 1137, 888, 4407, 1082, 4213, 616, 7255, 609, 9319, 22520, 267, 930, 3268, 666, 581, 3144, 547, 2569, 519, 1981, 540, 2110, 3761, 269, 4634, 952, 513, 2754, 814, 711, 11402, 713, 1966, 1354, 267, 621, 568, 1898, 547, 2015, 875, 621, 1223, 4755, 543, 1018, 1522, 581, 2944, 563, 3528, 2921, 519, 942, 1631, 547, 1589, 998, 891, 7399, 267, 3549, 786, 1745, 811, 5150, 1058, 789, 7237, 606, 6397, 17732, 538, 519, 2104, 269, 1703, 616, 1585, 2994, 602, 4213, 666, 2936, 547, 2569, 519, 1981, 540, 22520, 269, 1358, 1331, 3248, 10908, 817, 568, 1419, 13381, 1813, 547, 922, 1279, 14438, 267, 865, 9657, 2025, 4837, 2472, 568, 606, 5140, 1259, 585, 9755, 547, 4688, 2724, 543, 3132, 1007, 3283, 609, 7864, 2326, 269, 901, 2337, 3549, 4688, 2724, 543, 14014, 519, 1604, 676, 4227, 519, 952, 6151, 2326, 2877, 585, 2504, 563, 8794, 7756, 15733, 454, 8794, 13381, 4837, 267, 4213, 1223, 1413, 693, 824, 8925, 971, 607, 15229, 543, 23907, 269, 1452, 3681, 786, 711, 581, 607, 1279, 18835, 607, 1346, 1500, 689, 4837, 282, 2705, 267, 789, 666, 581, 811, 1942, 15807, 585, 3549, 547, 946, 3232, 563, 23804, 589, 1715, 4675, 17067, 454, 2252, 513, 1870, 5781, 3096, 4837, 267, 789, 616, 693, 1981, 540, 22520, 1813, 547, 741, 16126, 593, 835, 18261, 269, 15531, 4244, 14273, 786, 1611, 1447, 3747, 5116, 2390, 891, 3549, 267, 799, 6971, 519, 1297, 540, 1761, 2042, 269, 2986, 1576, 267, 713, 1797, 602, 4213, 786, 723, 547, 2628, 811, 585, 741, 7727, 267, 855, 621, 1223, 581, 606, 5092, 4502, 1818, 563, 2252, 972, 568, 513, 17732, 540, 4837, 538, 519, 2344, 267, 4213, 991, 547, 1577, 1761, 5561, 917, 827, 621, 269, 1403, 789, 616, 31464, 547, 6467, 14273, 610, 946, 1114, 2326, 267, 6800, 666, 948, 4213, 1689, 741, 7180, 543, 1413, 585, 8925, 563, 10908, 817, 22520, 666, 3648, 1764, 4213, 267, 5631, 952, 789, 7048, 2390, 1808, 2010, 540, 4837, 585, 2504, 3157, 269, 2368, 6080, 616, 811, 2693, 547, 581, 4299, 676, 713, 1966, 982, 1866, 267, 855, 972, 616, 1585, 2081, 538, 799, 3549, 666, 2569, 519, 1981, 540, 17732, 563, 10908, 817, 568, 606, 1271, 20161, 585, 6080, 899, 4070, 267, 16669, 5663, 267, 543, 3782, 269, 634, 17732, 540, 4837, 814, 1044, 18363, 4213, 269, 1703, 568, 513, 2603, 540, 10462, 827, 1018, 519, 2104, 6585, 609, 782, 519, 2487, 29388, 543, 4123, 10617, 267, 855, 835, 3364, 649, 666, 581, 2386, 540, 568, 602, 972, 786, 3136, 547, 581, 606, 2799, 3747, 585, 1007, 2326, 547, 1118, 909, 585, 713, 17211, 563, 4415, 519, 17732, 538, 3761, 540, 4837, 267, 596, 991, 547, 1118, 2386, 707, 1870, 814, 513, 1544, 645, 538, 1747, 952, 1022, 21463, 610, 17799, 1223, 1860, 2504, 269, 0, 306, 580, 21105, 5984, 9412, 1548, 568, 590, 580, 21105, 5984, 9412, 17214, 2986, 888, 306, 580, 21105, 5984, 9412, 7768, 540, 25342, 267, 543, 568, 5176, 476, 1220, 7397, 7381, 269, 898, 568, 519, 2182, 2989, 29351, 11690, 540, 513, 1279, 268, 518, 10757, 18962, 269, 898, 729, 4646, 936, 1079, 5479, 1296, 3516, 950, 519, 1858, 1472, 590, 580, 21105 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 276, 12085, 513, 6089, 2860, 31848, 6499, 547, 2995, 1004, 454, 763, 1977, 9435, 5980, 4114, 23660, 602, 1142, 1032, 936, 476, 9965, 267, 1822, 1977, 2021, 543, 476, 273, 267, 1822, 1977, 2367, 786, 581, 4857, 609, 6089, 2860, 563, 17954, 770, 2860, 568, 849, 519, 3119, 2014, 540, 2669, 10838, 2021, 1063, 476, 2412, 543, 476, 4649, 1296, 540, 2085, 543, 568, 519, 2034, 2489, 2601, 540, 2669, 1851, 2021, 799, 568, 20546, 539, 1152, 676, 5761, 2860, 269, 24664, 1176, 267, 519, 9019, 2557, 689, 6089, 2860, 814, 4389, 538, 2487, 1296, 609, 606, 4824, 2566, 593, 2038, 7020, 543, 811, 2500, 524, 999, 563, 288, 3896, 4280, 930, 6089, 2860, 15000, 547, 2671, 930, 5013, 585, 2489, 1857, 543, 1934, 568, 930, 1344, 602, 513, 6089, 2860, 31848, 4941, 1866, 547, 917, 563, 272, 1548, 568, 6089, 2860, 888, 4692, 1356, 5956, 950, 2281, 1376, 547, 1332, 856, 540, 1852, 269, 9435, 666, 1860, 2281, 538, 3592, 1022, 851, 540, 519, 1560, 543, 621, 666, 849, 3262, 547, 824, 2694, 540, 519, 1560, 269, 2290, 971, 2860, 568, 6089, 2860, 267, 1945, 602, 476, 272, 538, 476, 279, 1977, 4807, 568, 6059, 547, 581, 8995, 609, 543, 1256, 2367, 616, 711, 2922, 689, 621, 563, 17954, 770, 2860, 568, 513, 23872, 10510, 602, 6238, 538, 519, 2281, 538, 519, 1858, 540, 519, 6089, 269, 901, 10510, 3568, 513, 1895, 540, 2860, 2281, 602, 723, 519, 12588, 547, 3262, 883, 7404, 8031, 610, 543, 849, 22037, 553, 1125, 547, 1114, 2694, 540, 519, 1560, 269, 23213, 2860, 568, 1455, 3592, 4625, 538, 2021, 563, 288, 6089, 2860, 31848, 729, 4280, 547, 2671, 930, 1344, 609, 1857, 543, 713, 568, 1018, 602, 31848, 6499, 519, 1004, 547, 917, 563, 273, 898, 666, 4755, 547, 4896, 454, 299, 1824, 540, 8561, 568, 2016, 593, 2834, 6089, 18362, 610, 7882, 9999, 269, 634, 2816, 540, 7882, 9999, 568, 547, 5469, 2860, 1354, 10832, 2049, 267, 855, 3006, 2860, 568, 7357, 14406, 593, 513, 7882, 6945, 563, 2026, 621, 568, 267, 519, 1034, 1455, 10835, 540, 6089, 2860, 568, 513, 26686, 610, 2527, 538, 519, 28244, 799, 568, 1928, 1652, 855, 11207, 18476, 950, 20109, 269, 1809, 2687, 547, 519, 1977, 9435, 5980, 263, 3722, 306, 1070, 972, 616, 930, 824, 23053, 12077, 11926, 267, 1928, 538, 519, 562, 21451, 610, 6089, 267, 25017, 593, 519, 6089, 267, 11315, 1145, 540, 6089, 2960, 267, 610, 13888, 2287, 540, 519, 562, 21451, 610, 6089, 2960, 282, 543, 11166, 689, 519, 562, 21451, 602, 3884, 1406, 6089, 5144, 563, 763, 589, 5425, 5359, 602, 811, 982, 476, 5952, 2600, 540, 2021, 945, 1205, 8995, 609, 6089, 2860, 949, 723, 1100, 1920, 1686, 540, 519, 2068, 563, 274, 6314, 334, 814, 811, 2427, 2360, 982, 4552, 2530, 454, 29995, 519, 2126, 540, 1022, 2860, 568, 2447, 334, 543, 5982, 269, 1809, 1312, 540, 873, 2097, 609, 3978, 2427, 2360, 269, 23883, 18068, 267, 2094, 621, 3322, 7630, 532, 1482, 29406, 2281, 883, 519, 1560, 538, 1931, 547, 6146, 824, 29406, 2281, 563, 29995, 1004, 7985, 689, 4552, 2530, 1813, 547, 2447, 334, 267, 855, 824, 2427, 2360, 616, 3668, 540, 14000, 267, 596, 4465, 1406, 1745, 519, 991, 547, 3548, 4376, 269, 898, 849, 3123, 4049, 15353, 543, 13481, 1813, 547, 1560, 32232, 547, 519, 4914, 2860, 2281, 269, 16828, 519, 1560, 779, 4761, 1062, 4991, 865, 25356, 865, 1454, 602, 8467, 543, 9854, 5036, 538, 563, 8448, 2427, 2360, 616, 15319, 1145, 540, 10549, 267, 3819, 1145, 538, 5023, 543, 1256, 2597, 2744, 563, 275, 4634, 2367, 666, 1205, 6089, 2860, 454, 8133, 267, 1256, 2367, 666, 1205, 6089, 2860, 269, 1306, 596, 1590, 723, 6594, 267, 602, 649, 782, 11457, 689, 513, 2582, 1591, 543, 621, 779, 1310, 4374, 649, 616, 575, 25311, 538, 519, 27042, 1310, 10416, 2713, 607, 4775, 585, 513, 1279, 942, 269, 2334, 779, 519, 2601, 2367, 1869, 723, 562, 31454, 543, 849, 930, 6089, 5160, 269, 1656, 8754, 666, 849, 1020, 6089, 2860, 563, 763, 1034, 1455, 5256, 6089, 4524, 568, 1634, 607, 21859, 928, 1260, 770, 807, 269, 898, 568, 711, 513, 10510, 855, 10169, 513, 2208, 538, 519, 2179, 540, 513, 812, 779, 6089, 5160, 269, 21859, 928, 1260, 770, 807, 666, 3100, 607, 513, 7735, 6438, 2208, 896, 519, 562, 21451, 543, 616, 7637, 799, 666, 581, 5433, 543, 3006, 1256, 2938, 563, 294, 344, 928, 1260, 770, 807, 568, 1360, 1455, 538, 18295, 8695, 1317, 540, 519, 2242, 741, 1560, 25457, 7064, 547, 23648, 543, 519, 3666, 540, 10399, 1205, 22841, 269, 1656, 519, 1482, 2601, 621, 568, 1455, 10838, 4587, 2367, 563, 276, 23213, 2450, 3085, 1406, 2339, 454, 10144, 1589, 602, 2021, 609, 2901, 1932, 1507, 28244, 610, 1932, 1804, 28244, 723, 519, 1981, 540, 6089, 2860, 1813, 547, 2179, 540, 5160, 3238, 269, 1809, 2965, 519, 2450, 540, 707, 28244, 4249, 1100, 1909, 538, 707, 1981, 585, 3478, 8995, 609, 6089, 2860, 269, 1656, 519, 1482, 666, 581, 4294, 547, 519, 7020, 540, 2860, 1210, 513, 7882, 6945, 563, 2108, 2026, 1279, 607, 519, 1099, 6048, 666, 1205, 519, 5160, 1369, 519, 10824, 547, 14771, 621, 543, 1205, 519, 3239, 2944, 2443, 799, 789, 666, 3592, 2141, 798, 2443, 972, 12582, 1406, 581, 513, 1966, 267, 968, 338, 904, 3220, 4024, 578, 945, 568, 513, 18490, 4274, 538, 6089, 2860, 563, 9515, 849, 3081, 602, 3478, 8995, 609, 2860, 5673, 593, 2436, 610, 711, 596, 610, 513, 10629, 666, 1745, 513, 29406, 10510, 538, 519, 6089, 269, 898, 849, 5673, 593, 875, 2673, 519, 10510, 568, 547, 519, 2960, 267, 922, 2450, 543, 519, 9403, 540, 707, 2960, 543, 519, 4087, 540, 519, 10510, 269, 898, 814, 4986, 547, 798, 609, 875, 1507, 610, 2462, 707, 28244, 616, 563, 277, 631, 770, 26618, 568, 711, 2141, 519, 1655, 2126, 454, 300, 770, 26618, 568, 519, 6391, 2944, 547, 4894, 835, 610, 1312, 28244, 538, 1931, 547, 1205, 7759, 540, 519, 29406, 2208, 610, 2061, 519, 2860, 689, 10825, 883, 824, 2694, 540, 519, 1560, 538, 2021, 609, 1164, 1981, 563, 3719, 607, 1336, 856, 267, 621, 568, 711, 519, 1655, 1259, 547, 979, 2141, 1282, 2126, 540, 6089, 2860, 269, 4595, 6089, 2860, 1281, 711, 3262, 689, 6089, 547, 6089, 267, 519, 1981, 540, 3478, 2860, 538, 707, 2635, 6089, 4422, 1524, 609, 942, 607, 519, 5061, 543, 2447, 334, 2016, 547, 1521, 519, 2860, 6971, 519, 4960, 540, 621, 1818, 1007, 29406, 2281, 563, 9827, 585, 2021, 945, 616, 8995, 609, 2860, 267, 855, 798, 711, 723, 513, 4719, 15817, 267, 8851, 540, 6089, 798, 4986, 547, 10804, 519, 1272, 269, 0, 310, 514, 7615, 8845, 729, 4535, 543, 13473, 538, 9098, 269, 1261, 8678, 519, 7952, 607, 513, 23071, 538, 476, 5197, 279, 267, 543, 1282, 519, 2782, 540, 476, 8687, 273, 630, 8687, 273, 268, 8687, 276, 264, 729, 15469, 547, 32531, 611, 1512, 2489, 543, 4607, 519, 6837, 1308, 7108, 29274, 269, 1261, 729, 12912, 519, 8136, 779, 4971, 532, 2489, 538, 476, 7277, 272, 543, 6039, 538, 602, 2022, 585, 519, 1985, 476, 736, 1296, 269, 8845, 729, 513, 3084, 5869, 1310, 3056, 835, 540, 519, 1079, 32415, 20679, 1282, 519, 11204, 12677, 2782, 630, 7277, 277, 268, 7277, 279, 264, 543, 7674, 607, 30939, 4108, 17294, 540, 6792, 4975, 267, 543, 4607, 513, 2034, 6837, 1308, 7108, 29274, 269, 769, 476, 6977, 273, 519, 1733, 580, 9549, 9930, 3990, 1864, 607, 741, 16232, 11134, 269, 4014, 646, 4503, 547, 15284, 623, 15127, 267, 646, 7283, 2442, 609, 519, 1857, 543, 4607, 513, 1786, 23439, 13319, 547, 9114, 23133, 2489, 269, 1261, 729, 476, 10619, 1296, 2025, 543, 7092, 689, 1585, 22074, 693, 519, 1376, 540, 519, 1977, 6406, 2782, 269, 4014, 646, 729, 513, 7910, 1014, 267, 538, 4334, 547, 7917, 661, 269, 10557, 267, 8845, 7283, 10121, 547, 519, 5742, 543, 6039, 607, 14062, 12493, 779, 9030, 4108, 9666, 518, 693, 519, 4098, 540, 519, 2112, 269, 1261, 22885, 540, 513, 12675, 3625, 1228, 540, 7013, 16788, 5497, 547, 524, 23774, 548, 519, 3162, 779, 4346, 267, 543, 1287, 6494, 4229, 1524, 519, 14967, 9503, 269, 12493, 1305, 11735, 519, 1544, 538, 3870, 540, 3843, 547, 3533, 24807, 519, 18326, 267, 543, 6723, 15966, 548, 961, 534, 8719, 519, 11361, 2489, 267, 945, 19622, 547, 4639, 8672, 269, 8845, 779, 3625, 1228, 4640, 729, 5555, 642, 785, 5344, 543, 2968, 851, 540, 519, 5742, 779, 3811, 14710, 540, 519, 28583, 2329, 563, 763, 8313, 17099, 593, 713, 12776, 1748, 1592, 1079, 1071, 1790, 889, 14215, 281, 918, 749, 17344, 267, 513, 30508, 17002, 540, 519, 1974, 1454, 538, 519, 1482, 9135, 607, 4354, 8175, 543, 594, 1407, 267, 543, 6723, 1733, 1746, 267, 609, 606, 2232, 2016, 607, 476, 9262, 674, 738, 517, 9335, 267, 799, 568, 1141, 918, 749, 17344, 10443, 513, 1715, 3840, 5604, 2394, 1472, 476, 5908, 271, 269, 634, 18724, 902, 543, 519, 918, 749, 690, 7714, 10423, 569, 9783, 513, 1297, 540, 16493, 1927, 267, 1519, 513, 17855, 540, 14062, 12493, 950, 646, 729, 4881, 585, 7022, 563, 763, 918, 749, 690, 7714, 941, 12776, 20802, 3742, 538, 19134, 5112, 267, 21086, 267, 1715, 3840, 4975, 543, 30159, 267, 1715, 3840, 269, 1358, 3812, 606, 10373, 1297, 540, 3109, 7146, 22554, 543, 1688, 23469, 12776, 21106, 1282, 519, 476, 866, 628, 2540, 267, 2034, 1152, 547, 741, 29629, 2456, 543, 15712, 4354, 8175, 1299, 594, 1407, 269, 634, 21086, 8466, 5980, 814, 3592, 476, 272, 267, 1822, 12776, 21106, 676, 519, 918, 749, 690, 7714, 538, 741, 4015, 267, 1519, 2366, 14939, 10207, 267, 5784, 540, 10034, 543, 5656, 267, 23609, 543, 3140, 10207, 971, 607, 6406, 2782, 12959, 563, 763, 918, 749, 17344, 6109, 729, 8547, 676, 12253, 19159, 918, 749, 17344, 630, 5197, 278, 268, 6942, 275, 1070, 945, 10660, 1229, 13629, 20522, 543, 2442, 12776, 21106, 538, 519, 2136, 2276, 896, 519, 2012, 667, 15030, 269, 918, 749, 17344, 1299, 3213, 269, 538, 19134, 5112, 827, 476, 8146, 274, 269, 15907, 476, 7277, 274, 269, 646, 729, 8678, 676, 1010, 14552, 31611, 8738, 651, 918, 749, 17344, 630, 5197, 280, 268, 6942, 273, 264, 543, 18379, 26400, 28331, 2006, 918, 749, 17344, 630, 8687, 272, 268, 6642, 272, 1070, 945, 3459, 9467, 607, 661, 11065, 269, 543, 661, 5861, 269, 918, 749, 17344, 269, 31611, 1185, 513, 4282, 607, 513, 19784, 543, 9375, 543, 18379, 26400, 729, 8036, 607, 606, 23678, 591, 282, 646, 849, 729, 835, 540, 519, 1101, 538, 519, 772, 2529, 269, 547, 9742, 29607, 31567, 543, 5206, 1521, 2478, 593, 3165, 2528, 269, 4256, 6109, 729, 2212, 32483, 1229, 693, 476, 15793, 6301, 9335, 538, 19134, 5112, 2394, 476, 6977, 273, 269, 634, 918, 749, 690, 7714, 849, 1185, 13646, 538, 1715, 3840, 609, 9710, 864, 774, 9707, 538, 630, 7277, 277, 268, 5325, 1070, 808, 14371, 269, 1290, 18450, 630, 7277, 280, 268, 7367, 1070, 543, 27502, 1510, 4891, 2394, 827, 476, 5908, 271, 269, 8176, 661, 269, 918, 749, 17344, 267, 5067, 540, 661, 11065, 1421, 8678, 519, 1870, 538, 476, 5908, 271, 269, 769, 476, 6942, 272, 267, 5261, 8361, 10089, 18403, 8678, 519, 6109, 543, 9333, 809, 513, 2101, 556, 32360, 540, 519, 1870, 883, 513, 3811, 8228, 2777, 1572, 918, 749, 17344, 1299, 10089, 18403, 267, 21751, 538, 10477, 6985, 14663, 21106, 269, 634, 6109, 2663, 24673, 609, 8865, 267, 24522, 6229, 1299, 11020, 731, 547, 1106, 21086, 11010, 1562, 538, 476, 3707, 278, 563, 763, 4408, 540, 7671, 623, 269, 1733, 1746, 543, 1010, 4651, 6723, 1733, 1746, 849, 2408, 538, 519, 17099, 540, 930, 918, 749, 17344, 16493, 269, 6723, 1733, 1746, 2968, 519, 918, 749, 690, 7714, 685, 9030, 1715, 3840, 8665, 538, 476, 7277, 279, 543, 5249, 585, 873, 2394, 789, 6806, 741, 1715, 3840, 5604, 538, 476, 5908, 271, 269, 3571, 2012, 267, 28484, 968, 294, 269, 1733, 1746, 2223, 7902, 593, 918, 749, 17344, 16493, 2394, 476, 5908, 273, 267, 950, 1733, 1746, 5747, 543, 1010, 5067, 267, 7671, 623, 269, 1733, 1746, 267, 3576, 936, 607, 519, 918, 749, 690, 7714, 685, 1071, 1790, 889, 10091, 543, 2733, 12460, 269, 16024, 1014, 27211, 5685, 26792, 4967, 602, 519, 29501, 968, 293, 10422, 269, 1733, 1746, 892, 5526, 593, 918, 749, 17344, 16493, 9783, 1063, 476, 5908 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 298, 15598, 267, 31780, 779, 513, 8738, 3455, 3751, 1660, 6403, 5212, 332, 6403, 339, 333, 719, 562, 328, 25155, 523, 6403, 8835, 773, 297, 706, 798, 547, 14833, 454, 16675, 701, 864, 16231, 6243, 6462, 513, 26278, 1788, 676, 6424, 570, 384, 505, 20795, 6403, 985, 330, 383, 377, 543, 9324, 13453, 15662, 510, 339, 384, 505, 337, 321, 990, 5451, 945, 4682, 547, 519, 19384, 2829, 540, 589, 920, 543, 8835, 553, 547, 3561, 519, 5222, 540, 713, 1032, 779, 14042, 11642, 538, 519, 8835, 7733, 593, 6805, 1004, 269, 3767, 5682, 701, 864, 568, 4543, 519, 21706, 547, 3262, 519, 2984, 540, 1004, 7092, 1317, 540, 519, 11642, 269, 5811, 540, 519, 14616, 8513, 18327, 602, 7087, 14316, 2127, 941, 1454, 811, 1419, 6098, 676, 18532, 11642, 713, 1032, 982, 538, 3105, 1296, 563, 7628, 5181, 543, 5239, 267, 16231, 21706, 10272, 1079, 6805, 11031, 1107, 21373, 328, 27173, 514, 543, 7442, 584, 2088, 1107, 543, 835, 2199, 5214, 16027, 269, 2353, 1614, 2665, 616, 5532, 676, 519, 1249, 602, 519, 1004, 13006, 593, 519, 5961, 723, 4503, 2694, 540, 741, 1753, 543, 2702, 547, 723, 513, 4264, 17612, 563, 29378, 11182, 723, 5185, 811, 7928, 543, 7839, 11642, 713, 1032, 267, 2687, 547, 519, 5767, 1239, 689, 519, 2817, 4659, 585, 6611, 3194, 630, 2562, 14154, 1040, 634, 1239, 1397, 602, 519, 20737, 945, 1305, 3595, 547, 7733, 616, 22393, 22215, 6870, 7087, 2127, 269, 634, 8041, 267, 799, 1058, 2149, 519, 6805, 11182, 689, 19883, 543, 8781, 267, 616, 896, 519, 12081, 540, 8478, 779, 1007, 7022, 808, 1515, 12157, 5459, 16619, 945, 814, 18604, 873, 2759, 741, 23348, 563, 763, 1297, 540, 11642, 538, 8835, 1014, 7087, 3338, 811, 982, 23060, 538, 519, 1101, 8370, 3275, 540, 476, 1001, 280, 267, 3379, 609, 519, 1482, 1974, 2063, 1032, 267, 8375, 689, 476, 273, 267, 276, 4510, 547, 476, 276, 267, 14065, 269, 11094, 4559, 538, 519, 22986, 4718, 513, 476, 8618, 260, 4473, 538, 3595, 28326, 26105, 267, 689, 476, 277, 267, 4281, 277, 547, 476, 1015, 267, 280, 866, 267, 538, 519, 1482, 1974, 563, 299, 4157, 5451, 20795, 670, 337, 5451, 31990, 267, 13382, 595, 313, 2046, 11464, 267, 3081, 912, 29467, 616, 7899, 540, 2984, 540, 18354, 543, 21817, 899, 519, 3283, 16231, 21706, 538, 8478, 723, 14754, 713, 1032, 269, 10251, 267, 519, 4550, 268, 1815, 1670, 4507, 540, 7022, 12157, 5459, 16619, 723, 12592, 2199, 20737, 945, 1305, 3595, 547, 519, 7733, 547, 28117, 519, 1034, 6870, 2127, 1141, 7087, 11031, 2661, 1848, 0, 15507, 519, 594, 4047, 18482, 540, 2657, 10803, 454, 8005, 12160, 919, 538, 15765, 2274, 15370, 888, 24478, 528, 281, 10803, 4516, 454, 290, 20975, 281, 8447, 11314, 454, 30475, 281, 2168, 2534, 454, 14457, 267, 476, 279, 3817, 563, 22154, 2376, 5654, 693, 519, 3742, 16837, 2238, 540, 23671, 9907, 476, 736, 543, 936, 269, 5384, 14025, 1019, 2456, 11863, 2079, 540, 519, 1826, 543, 3259, 540, 2238, 2944, 593, 513, 2016, 1554, 269, 4635, 1239, 689, 519, 476, 1960, 273, 543, 476, 1220, 276, 4937, 4317, 24028, 903, 630, 294, 7704, 1070, 649, 786, 1413, 693, 3466, 538, 3742, 16837, 7589, 3928, 689, 476, 1960, 273, 547, 476, 1220, 276, 269, 1284, 786, 849, 4983, 799, 2516, 616, 811, 2693, 547, 7119, 538, 3742, 16837, 538, 476, 1220, 276, 3034, 27237, 292, 281, 901, 7300, 568, 2895, 1882, 269, 1677, 1569, 621, 267, 4945, 519, 2140, 3095, 7396, 2630, 519, 968, 19425, 1882, 910, 7300, 3561, 892, 16144, 269, 0, 6097, 547, 8387, 538, 519, 1533, 540, 4639, 9098, 267, 7264, 616, 1631, 1210, 654, 5684, 1975, 2001, 607, 606, 4244, 1106, 540, 29034, 2086, 2867, 8533, 269, 634, 4639, 9098, 3557, 17318, 568, 10912, 621, 513, 834, 3832, 777, 4368, 257, 585, 519, 3075, 543, 723, 3957, 621, 834, 24078, 4771, 2668, 834, 5804, 1018, 649, 2811, 1373, 5143, 267, 952, 596, 946, 621, 267, 596, 917, 267, 596, 1522, 946, 621, 2899, 610, 7466, 543, 581, 5386, 267, 855, 519, 3791, 942, 950, 707, 1560, 16125, 602, 13027, 5114, 267, 621, 666, 6146, 596, 2437, 590, 25885, 269, 8176, 27659, 874, 514, 1767, 269, 7797, 539, 2427, 2360, 1331, 20093, 1738, 2623, 267, 3665, 11926, 267, 543, 25017, 540, 519, 3946, 543, 3952, 563, 6097, 547, 513, 2487, 1353, 593, 623, 4382, 1938, 2944, 676, 519, 2160, 540, 27228, 6441, 514, 11181, 267, 12877, 516, 628, 5514, 568, 519, 3114, 1336, 538, 729, 335, 10936, 602, 568, 519, 2014, 540, 519, 13027, 6547, 269, 674, 7614, 13027, 6547, 616, 2864, 16613, 855, 513, 1268, 1223, 581, 12517, 8914, 539, 267, 2687, 547, 3220, 269, 681, 9801, 5112, 14986, 540, 519, 9098, 7313, 2581, 6513, 563, 4002, 11016, 267, 5147, 476, 1321, 267, 476, 1001, 280, 267, 476, 274, 30072, 7972, 941, 4080, 538, 4425, 821, 6019, 267, 4639, 9098, 689, 519, 946, 540, 654, 5684, 1975, 2001, 269, 2201, 602, 1482, 1554, 267, 476, 1789, 23691, 540, 654, 5684, 1975, 2001, 941, 4421, 538, 4425, 821, 6019, 4805, 563, 306, 21788, 4753, 22829, 2567, 16737, 21158, 267, 705, 322, 278, 2593, 267, 13235, 21158, 0, 4338, 5274, 17323, 1053, 3180, 909, 2247, 7851, 789, 16668, 540, 741, 16973, 267, 8380, 883, 2259, 7047, 2762, 1983, 789, 4121, 1282, 1362, 563, 303, 19948, 9142, 1053, 666, 1631, 7118, 2852, 5491, 1282, 741, 4195, 2006, 1032, 269, 8564, 4195, 5443, 786, 581, 519, 1101, 547, 1491, 6673, 5274, 17323, 267, 513, 1576, 602, 7710, 875, 3425, 723, 6956, 267, 1031, 543, 4957, 519, 2627, 540, 3047, 563, 2108, 7437, 519, 1576, 267, 938, 1053, 786, 946, 519, 2645, 543, 3206, 3157, 540, 2520, 20802, 547, 4983, 3270, 540, 1480, 2551, 267, 9194, 543, 2244, 946, 2223, 1767, 1514, 2090, 4116, 8061, 514, 10162, 657, 267, 945, 786, 581, 3450, 519, 1576, 269, 10162, 657, 814, 6026, 2229, 27160, 21643, 543, 26549, 1158, 12977, 585, 519, 2250, 1614, 1296, 543, 13984, 513, 2185, 6377, 6673, 5274, 17323, 14021, 2866, 1982, 936, 519, 4832, 563, 14881, 993, 1360, 9599, 547, 4001, 713, 1576, 1317, 621, 568, 7168, 1454, 519, 1439, 782, 581, 782, 540, 6030, 269, 898, 10905, 1169, 1826, 540, 1514, 1353, 267, 8151, 689, 9297, 547, 15257, 267, 883, 835, 4487, 1576, 2223, 10162, 657, 1767, 563, 17606, 779, 513, 1390, 4316, 547, 16616, 938, 4195, 5443, 547, 519, 1950, 267, 2362, 19195, 3206, 1983, 602, 616, 7533, 547, 606, 6673, 1576, 2223, 25867, 2142, 17433, 715, 3019, 534, 1767, 269, 968, 2005, 781, 1271, 585, 3465, 547, 2709, 713, 1576, 1317, 621, 781, 513, 1390, 4367, 547, 519, 834, 29514, 15114, 257, 851, 540, 938, 5692, 543, 5718, 1982, 269, 4804, 827, 519, 25872, 540, 824, 4529, 267, 1004, 543, 7239, 568, 1898, 547, 1620, 519, 1909, 649, 1404, 538, 519, 3677, 1158, 269, 1656, 267, 540, 1576, 267, 621, 3085, 1405, 10413, 602, 1053, 666, 7118, 2852, 5491, 2059, 519, 1259, 2336, 8624, 548, 2471, 543, 9945, 949, 2154, 1114, 8464, 267, 3622, 8151, 689, 476, 274, 268, 276, 267, 547, 8366, 2852, 5491, 607, 519, 6697, 540, 606, 2606, 2852, 7400, 1576, 538, 1480, 11585, 267, 10162, 657, 1767, 269, 634, 476, 1708, 271, 6673, 5274, 17323, 981, 786, 581, 13950, 2904, 476, 276, 563, 10743, 786, 1451, 547, 4612, 3631, 543, 7851, 267, 607, 1134, 607, 547, 1224, 12125, 543, 5659, 1239, 269, 1358, 786, 581, 7318, 593, 519, 4525, 540, 519, 1158, 543, 8810, 10923, 3270, 267, 10162, 657, 1767, 563, 2108, 19741, 782, 540, 713, 267, 938, 1053, 786, 2253, 547, 1174, 875, 789, 616, 4448, 547, 519, 2250, 543, 1459, 282, 875, 789, 1404, 513, 1909, 538, 5935, 519, 2104, 540, 938, 2168, 267, 2797, 543, 2686, 1604, 282, 543, 602, 1256, 689, 938, 4928, 693, 476, 275, 628, 543, 6601, 1188, 267, 789, 616, 606, 1271, 851, 540, 938, 7184, 10562, 2518, 1480, 1920, 2223, 1352, 1767, 269, 968, 2005, 568, 938, 5539, 547, 1118, 2386, 602, 938, 1053, 616, 606, 3742, 851, 540, 519, 2518, 2146, 269, 769, 1249, 267, 621, 568, 851, 938, 5692, 547, 3337, 891, 1762, 2021, 883, 2518, 4961, 269, 18833, 945, 596, 616, 543, 1141, 596, 616, 568, 540, 14063, 2956, 267, 543, 594, 1223, 711, 581, 811, 9599, 547, 4585, 938, 6690, 1332, 607, 17519, 267, 9691, 3206, 543, 15520, 3222, 4961, 540, 519, 1158, 3034, 299, 537, 529, 6807, 267, 19109, 269, 630, 18907, 476, 277, 267, 476, 1001, 280, 264, 910, 19809, 9142, 786, 8956, 519, 23700, 540, 922, 476, 1001, 280, 18975, 22952, 1282, 606, 5993, 17758, 12129, 693, 476, 277, 533, 6230, 269, 593, 13628, 267, 5239, 476, 1015, 267, 476, 1001, 280, 693, 519, 17996, 4139, 13482, 4741, 267, 476, 21854, 3162, 19549, 9335, 563, 3086, 538, 922, 476, 2190, 628, 1032, 267, 519, 18975, 22952, 568, 606, 5993, 5692, 12454, 2680, 26621, 2021, 3401, 538, 741, 4610, 543, 10223, 519, 7418, 543, 15421, 540, 891, 1909, 3631, 547, 19809, 9142, 1053, 543, 519, 13573, 3089, 10005, 2146, 563, 763, 18975, 22952, 5713, 607, 513, 18463, 547, 1930, 519, 9885, 585, 782, 1762, 2021, 547, 1995, 513, 19809, 9142, 2069, 269, 2353, 23131, 689, 713, 2508, 571, 16014, 979, 547, 519, 1153, 779, 24875, 6351, 1982, 267, 543, 2094, 27299, 267, 713, 2680, 814, 6659, 936, 1269, 273, 269, 276, 2929, 563, 303, 19948, 568, 20938, 547, 14773, 519, 476, 1001, 280, 18975, 13815, 23700, 538, 519, 1739, 6688, 912, 2752, 4811, 1299, 25265, 7419, 2975, 9569, 454, 290, 4331, 1744, 27553, 267, 3213, 14114, 1233, 518, 540, 661, 261, 306, 20155, 454, 24082, 570, 22379, 1299, 13138, 32767, 454, 298, 574, 595, 6123, 27213, 2048, 4037, 267, 674, 10133, 543, 13574, 518, 540, 519, 4659, 585, 6715, 13577, 6925, 454, 297, 3317, 11717, 28822, 2794, 11860, 578, 1023, 7288, 2048, 9834, 267, 21133, 7905, 540, 18143, 7070, 267, 30215, 2160, 454, 294, 10976, 30204, 16774, 1299, 32045, 454, 291, 523, 1047, 22110, 2023, 267, 12751, 25960, 540, 519, 17996, 7040, 540, 2561, 324, 1023, 454, 306, 11799, 1299, 31178, 290, 22664, 454, 7804, 269, 18238, 320, 27659, 2023, 267, 674, 10133, 540, 17889, 593, 10732, 454, 306, 27263, 21201, 1299, 5084, 309, 8016, 3722, 312, 454, 300, 7559, 5576, 541, 325, 523, 31000, 2048, 11025, 267, 7731, 21835, 528, 267, 30838, 10499, 267, 631, 7704, 310, 454, 299, 9281, 292, 2316, 10933, 589, 6224, 296, 14110, 30121, 32217, 19181, 454, 306, 3563, 8575, 675, 523, 595, 965, 4802, 267, 14662, 301, 454, 763, 10543, 786, 2253, 609, 513, 15483, 18571, 21200, 693, 476, 277, 533, 6230, 1421, 4553, 676, 12129, 543, 519, 17758, 16008, 693, 476, 278, 533, 6230, 269, 1530, 1846, 547, 519, 476, 1001, 280, 18975, 22952, 949, 581, 12349, 585, 1269, 10219, 1142, 267, 610, 1269, 272, 267, 7742, 829, 3349, 540, 476, 1015, 269, 1280, 811, 1344, 543, 547, 6718, 610, 13384, 528, 16295, 267, 5225, 1289, 630, 2004, 273, 264, 476, 6812, 274, 268, 6795, 274, 276, 610, 3643, 8940, 4877, 19948, 659, 611, 5519, 3820, 563, 303, 1112, 3293, 1657, 616, 23700, 267, 689, 2451, 547, 1318, 281, 26391, 28822, 2794, 11860, 578, 1023, 7288, 11313, 9834, 267, 590, 3563, 8575, 675, 523, 595, 965, 4802, 267, 14662, 301, 267, 3220, 269, 18238, 320, 27659, 2023, 267, 9324, 1047, 22110, 2023, 267, 543, 12756, 5576, 541, 325, 523, 31000, 11313, 11025, 563, 10666, 19809, 9142, 454, 1103, 519, 6891, 540, 21965, 1975, 531, 3429, 543, 519, 590, 8651, 540, 4077, 640, 540, 9294, 732, 628, 267, 19809, 9142, 1193, 1161, 547, 1711, 513, 3309, 2146, 602, 8992, 4081, 17284, 543, 2591, 1762, 2021, 547, 1020, 741, 6574, 1761, 607, 3401, 538, 513, 2518, 2486, 269, 5617, 3437, 2094, 476, 8146, 272, 267, 19809, 9142, 568, 4092, 693, 476, 279, 8618, 590, 269, 476, 275, 628, 9335, 538, 8402, 6807, 267, 17996, 269, 1280, 811, 1344, 267, 1289, 630, 2004, 273, 264, 476, 6812, 274, 268, 6795, 274, 276, 610, 3643, 8940, 4877, 19948, 659, 611, 5519, 3820, 563, 299, 5495, 3041, 309, 6579, 4041, 267, 19109, 23102, 9213, 779, 7826, 11819, 3957, 19809, 9142, 835, 540, 1614, 3084, 3803, 1235, 585, 519, 11627, 725, 538, 7826, 4065, 8366, 538, 15099, 543, 19019, 585, 922, 5718, 1982, 563, 763, 11627, 725, 538, 7826, 4065, 13815, 17767, 7826, 3506, 2066, 519, 2197, 602, 723, 3366 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 476, 273, 343, 267, 476, 274, 343, 267, 476, 275, 343, 267, 476, 276, 343, 267, 543, 476, 277, 343, 267, 2270, 519, 1482, 9704, 563, 7531, 1103, 1109, 314, 273, 28660, 3698, 7989, 3176, 8548, 738, 328, 1255, 10031, 14310, 815, 7183, 454, 1721, 1775, 538, 2039, 263, 1911, 1822, 267, 476, 1220, 1822, 2187, 4818, 815, 15044, 17338, 19304, 9217, 21875, 338, 15471, 815, 6936, 454, 1721, 1617, 538, 2039, 263, 273, 267, 476, 278, 2187, 604, 15044, 17338, 19304, 9217, 2608, 1617, 30727, 11203, 735, 912, 338, 15471, 815, 8771, 454, 604, 1967, 912, 8873, 1775, 692, 2745, 263, 11279, 3176, 8548, 738, 328, 1255, 31156, 7531, 16318, 5952, 278, 19638, 1012, 9046, 476, 7871, 1496, 27237, 595, 4047, 290, 298, 3633, 6540, 2162, 10395, 13541, 545, 25926, 692, 2467, 616, 4010, 4557, 2081, 540, 8939, 1614, 689, 2947, 267, 476, 11277, 3393, 1384, 11277, 267, 476, 14862, 267, 476, 10219, 267, 476, 16328, 267, 476, 13670, 267, 476, 13970, 267, 476, 23056, 267, 476, 20720, 267, 476, 25090, 267, 543, 476, 24833, 692, 1103, 2036, 13541, 923, 267, 649, 946, 519, 10035, 267, 1269, 317, 276, 290, 318, 274, 259, 815, 476, 1015, 780, 1103, 2489, 267, 3230, 317, 333, 290, 24417, 815, 1422, 2765, 23533, 256, 2410, 337, 256, 263, 333, 6629, 337, 25631, 15732, 3602, 678, 18016, 562, 267, 562, 256, 815, 562, 9943, 263, 333, 6629, 272, 264, 9943, 1862, 9943, 274, 9943, 273, 9943, 272, 267, 543, 476, 271, 256, 815, 476, 272, 780, 2005, 568, 711, 2394, 562, 815, 476, 2537, 267, 602, 513, 1871, 20489, 835, 2173, 11669, 281, 1269, 3867, 2537, 348, 290, 3709, 1015, 4151, 815, 476, 14625, 32076, 277, 780, 1692, 1082, 267, 711, 8209, 3982, 267, 2418, 540, 1269, 317, 333, 290, 24417, 8961, 585, 476, 272, 18016, 562, 18016, 476, 1911, 267, 616, 3152, 982, 835, 2173, 11669, 2496, 2971, 15613, 692, 1892, 1284, 917, 602, 519, 621, 568, 1152, 693, 476, 2537, 322, 1015, 602, 519, 1871, 20489, 476, 1911, 1822, 271, 267, 865, 649, 1810, 1405, 991, 547, 1376, 3168, 2394, 1287, 563, 1892, 1403, 678, 815, 476, 272, 610, 562, 268, 272, 267, 562, 24979, 815, 562, 269, 1403, 678, 815, 562, 267, 562, 24979, 815, 476, 272, 269, 1924, 649, 1058, 1152, 1413, 693, 2418, 540, 678, 1141, 476, 273, 10922, 678, 10922, 562, 268, 273, 563, 692, 1103, 1109, 314, 279, 28660, 3698, 2036, 13541, 545, 26000, 27928, 32384, 5332, 267, 1295, 26371, 2187, 11161, 815, 11713, 1721, 562, 538, 2039, 263, 2537, 267, 3193, 5332, 1341, 476, 272, 2187, 1721, 678, 538, 2039, 263, 273, 267, 562, 910, 476, 272, 2187, 333, 24979, 815, 3442, 3799, 267, 678, 994, 604, 562, 24979, 3436, 1295, 26371, 912, 11161, 6910, 9230, 333, 267, 678, 267, 562, 24979, 4917, 28744, 263, 11161, 994, 8873, 7003, 263, 11161, 2020, 2745, 263, 18474, 13541, 545, 26000, 27928, 263, 1911, 267, 476, 1911, 1822, 271, 11723, 7531, 2412, 278, 276, 19638, 1012, 9046, 476, 4649, 692, 2162, 10370, 577, 7758, 2338, 692, 2252, 649, 1491, 476, 5325, 267, 9258, 543, 1039, 267, 476, 5325, 1341, 476, 10619, 815, 476, 13199, 267, 799, 568, 5493, 785, 668, 545, 780, 8253, 782, 2338, 3132, 5493, 785, 27689, 865, 3533, 269, 1280, 1383, 10484, 1892, 476, 4097, 280, 1341, 476, 280, 6246, 815, 476, 15782, 273, 454, 1892, 476, 15782, 273, 1341, 476, 29580, 272, 815, 476, 275, 2641, 274, 454, 1892, 476, 275, 2641, 274, 1341, 476, 24374, 275, 815, 476, 278, 3451, 278, 692, 6546, 568, 267, 476, 4097, 280, 3576, 1614, 23200, 547, 12446, 693, 513, 5493, 30308, 780, 7212, 1100, 835, 814, 9863, 621, 2943, 267, 621, 568, 2219, 602, 930, 2338, 267, 899, 476, 3422, 267, 2760, 3132, 513, 5493, 30308, 269, 589, 1297, 602, 2760, 3029, 513, 5493, 30308, 998, 519, 9258, 543, 1039, 1184, 568, 1572, 513, 10370, 577, 7758, 1297, 269, 9603, 547, 519, 7811, 2470, 540, 891, 2338, 267, 543, 585, 519, 3483, 540, 713, 1966, 267, 649, 4927, 8263, 602, 513, 1297, 568, 10370, 577, 7758, 2394, 8810, 6382, 269, 769, 1840, 596, 616, 2016, 602, 585, 1169, 1297, 2630, 4557, 6253, 748, 663, 267, 621, 786, 2901, 630, 328, 264, 1831, 513, 5493, 30308, 538, 1447, 982, 15823, 23200, 267, 610, 267, 630, 4512, 264, 1100, 835, 267, 609, 782, 519, 7384, 1379, 602, 6818, 267, 814, 7307, 865, 2484, 547, 4786, 621, 547, 513, 5493, 30308, 269, 769, 1249, 267, 476, 11793, 6507, 568, 519, 1101, 1297, 547, 581, 3254, 547, 2154, 936, 15823, 23200, 1354, 6721, 513, 5493, 30308, 281, 476, 5379, 277, 9262, 274, 14689, 5780, 279, 32455, 4366, 277, 277, 4817, 15389, 279, 5780, 275, 630, 7871, 23200, 267, 476, 2764, 1673, 580, 1080, 6393, 20776, 29418, 267, 972, 616, 5493, 785, 668, 545, 2338, 602, 616, 2933, 10370, 577, 7758, 2338, 282, 519, 1101, 1383, 568, 476, 275, 4200, 275, 780, 1692, 1082, 10370, 577, 7758, 2338, 616, 972, 2630, 4557, 6253, 748, 663, 2496, 27237, 292, 281, 654, 1800, 729, 9168, 5594, 593, 476, 2190, 4989, 476, 1220, 278, 547, 3746, 1047, 519, 7811, 2470, 540, 10370, 577, 7758, 2338, 563, 7531, 1103, 1109, 314, 736, 28660, 3698, 11430, 577, 7758, 5332, 13246, 32384, 5332, 2187, 8873, 7003, 8443, 328, 585, 1775, 538, 2039, 32384, 5332, 264, 952, 568, 318, 569, 577, 7758, 9217, 267, 476, 2004, 13580, 2020, 2745, 263, 569, 577, 7758, 5332, 13246, 263, 1911, 876, 11723, 7531, 27149, 19638, 1012, 9046, 476, 6321, 692, 2162, 5295, 995, 7857, 2040, 692, 288, 979, 690, 565, 18121, 1015, 3867, 1911, 4151, 264, 568, 513, 7372, 1297, 281, 835, 4553, 676, 835, 3620, 4348, 21325, 282, 1269, 1911, 3867, 1911, 4151, 568, 3592, 796, 19960, 514, 2406, 1804, 281, 835, 4553, 676, 1079, 3620, 4348, 21325, 269, 6736, 741, 2450, 267, 519, 2040, 540, 519, 9704, 538, 1142, 1297, 568, 1152, 476, 272, 780, 8256, 18790, 2067, 2338, 540, 519, 1106, 267, 1269, 320, 317, 321, 8961, 1141, 1269, 320, 8961, 1269, 321, 259, 2999, 476, 1911, 267, 1018, 568, 519, 5021, 3059, 2040, 2496, 692, 1103, 1109, 314, 2190, 28660, 3698, 3532, 5091, 13424, 23544, 32384, 318, 629, 2187, 3698, 7857, 23544, 3799, 2187, 8873, 2040, 17301, 9217, 264, 585, 1775, 538, 1592, 19304, 3799, 4297, 2020, 338, 815, 476, 271, 454, 718, 5091, 13424, 5334, 4548, 815, 11713, 1721, 513, 538, 2039, 263, 1911, 2187, 1721, 536, 538, 2039, 263, 1911, 2187, 323, 815, 7857, 23544, 9638, 578, 5416, 267, 536, 4917, 718, 5091, 13424, 5334, 4548, 6910, 9230, 320, 267, 536, 267, 546, 4917, 28744, 263, 718, 5091, 13424, 5334, 4548, 994, 8873, 3193, 5560, 585, 513, 267, 536, 267, 546, 538, 782, 5091, 13424, 5334, 4548, 2020, 2745, 9638, 1077, 995, 5091, 13424, 23544, 263, 1911, 11723, 7531, 280, 7761, 19638, 1012, 9046, 476, 6812, 692, 2162, 9454, 531, 22136, 692, 28275, 609, 476, 272, 543, 3303, 16226, 1884, 545, 6674, 3772, 538, 519, 1739, 1259, 267, 513, 4009, 18700, 609, 2427, 3259, 476, 278, 568, 4646, 780, 4391, 476, 3607, 476, 3374, 476, 4097, 476, 3451, 476, 3953, 476, 4029, 454, 4343, 476, 1704, 476, 1626, 476, 1428, 476, 1691, 476, 1724, 476, 1789, 454, 4375, 476, 1240, 476, 476, 276, 476, 476, 275, 476, 476, 274, 476, 1321, 476, 3066, 454, 2412, 476, 866, 476, 476, 277, 476, 476, 272, 476, 476, 273, 476, 1556, 476, 2764, 454, 6078, 476, 736, 476, 476, 278, 476, 476, 279, 476, 476, 280, 476, 1015, 476, 2767, 454, 5655, 476, 2641, 476, 2420, 476, 2537, 476, 2190, 476, 1839, 476, 2918, 454, 6246, 476, 4510, 476, 3393, 476, 5379, 476, 5325, 476, 4366, 476, 5392, 19638, 2005, 568, 4277, 547, 4063, 602, 519, 9642, 10945, 9114, 2059, 519, 5377, 1318, 15497, 267, 855, 1018, 568, 811, 4277, 568, 602, 476, 279, 856, 540, 519, 476, 1724, 2338, 14084, 2059, 1312, 32377, 616, 6305, 282, 602, 568, 267, 513, 5223, 540, 476, 279, 270, 1724, 9881, 486, 476, 7830, 260, 780, 2252, 835, 2347, 1007, 4494, 568, 20386, 1472, 519, 18700, 1657, 267, 513, 4009, 18700, 609, 2427, 3259, 476, 280, 786, 581, 4646, 269, 1403, 713, 1184, 568, 4797, 267, 1018, 568, 519, 2427, 3259, 540, 519, 4009, 18700, 585, 799, 519, 5223, 540, 22136, 2059, 1312, 32377, 1101, 8813, 2630, 476, 1015, 260, 2496, 692, 1103, 1109, 314, 1109, 28660, 3698, 18700, 318, 1440, 1307, 263, 7806, 1470, 318, 3916, 527, 17107, 7806, 1470, 815, 476, 272, 454, 333, 815, 476, 272, 454, 21163, 815, 476, 273, 454, 2515, 28747, 815, 476, 272, 454, 10972, 21192, 18045, 815, 476, 272, 269, 271, 692, 18905, 18045, 815, 476, 271, 692, 6112, 5223, 13843, 5223, 318, 3916, 527, 912, 10972, 21192, 18045, 6834, 476, 275, 454, 2515, 28747, 6834, 476, 273, 454, 1721, 1775, 538, 2039, 263, 275, 2187, 333, 6834, 1900, 454, 604, 568, 318, 18905, 3799, 2187, 18905, 18045, 6834, 476, 272, 692, 7806, 1470, 815, 6305, 18045, 1315, 15497, 18045, 454, 28744, 9230, 2515, 28747, 267, 6305, 18045, 267, 15497, 18045, 267, 5223, 4917, 21163, 6834, 476, 273, 692, 8873, 2427, 28747, 692, 2745, 4433, 2869, 531, 318, 1440, 1307, 263, 271, 269, 272, 11723, 692, 1012, 9046, 476, 6858, 692, 2162, 26228, 2619, 2040, 4083, 692, 1607, 568, 519, 1482, 607, 9046, 476, 1240, 267, 865, 519, 3009, 621, 32419, 780, 3528, 4358, 693, 519, 1283, 540, 519, 6906, 2630, 543, 3001, 547, 11105, 2338, 593, 519, 4737, 2630, 267, 519, 5021, 2698, 689, 1283, 547, 5377, 568, 476, 2537, 780, 274, 476, 278, 476, 275, 476, 273, 476, 275, 476, 277, 476, 279, 476, 276, 476, 280, 476, 274, 692, 6546, 568, 267, 476, 274, 1341, 476, 278, 1341, 476, 275, 1341, 476, 280, 815, 476, 2537, 780, 8340, 519, 5021, 2698, 689, 1283, 547, 5377, 538, 6906, 17902, 267, 513, 476, 1428, 298, 1257, 3758, 5627, 513, 6906, 609, 835, 3620, 4348, 9343, 563, 7531, 1103, 1109, 314, 4343, 28660, 5976, 1930, 3488, 335, 6187, 278, 4671, 686, 4120, 17902, 10807, 607, 535, 912, 2745, 32384, 3065, 24786, 23544, 31912, 842, 3799, 264, 585, 562, 538, 521, 21858, 3890, 316, 585, 521, 538, 535, 18667, 6050, 3890, 8079, 2020, 7531, 278, 2767, 274, 692, 7531, 1103, 1109, 314, 1109, 13912 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1126, 14659, 585, 513, 4090, 1354, 6031, 267, 968, 2252, 2696, 568, 538, 1250, 2295, 267, 646, 1590, 581, 1360, 267, 1360, 6263, 563, 300, 558, 20781, 267, 968, 2005, 779, 5863, 267, 3884, 1406, 621, 286, 1261, 666, 581, 3330, 267, 22290, 721, 267, 543, 782, 1472, 693, 519, 1482, 942, 3034, 1607, 5956, 513, 17175, 6643, 1063, 519, 1079, 538, 1215, 8262, 1772, 2696, 29845, 2854, 676, 23436, 570, 11921, 19161, 1066, 543, 11609, 676, 23718, 808, 269, 21563, 656, 269, 10801, 519, 1433, 267, 519, 6923, 8049, 1126, 12134, 782, 5686, 540, 2055, 827, 2696, 267, 971, 607, 281, 1772, 646, 609, 1250, 2828, 286, 1772, 646, 15865, 286, 2052, 646, 8038, 888, 8170, 1576, 621, 779, 2352, 547, 4766, 2696, 610, 547, 5581, 13924, 267, 855, 713, 3210, 689, 519, 3993, 3081, 621, 1655, 281, 968, 13914, 540, 1864, 899, 5070, 267, 1507, 2614, 547, 1118, 922, 1259, 883, 707, 1124, 330, 269, 2107, 2462, 2614, 547, 1118, 513, 2898, 546, 2317, 269, 589, 2898, 9390, 28461, 763, 1650, 568, 11609, 609, 10477, 267, 627, 15501, 673, 1216, 3712, 832, 282, 891, 267, 13745, 609, 519, 6505, 267, 3728, 19550, 1257, 267, 1118, 713, 513, 1360, 1126, 7888, 1433, 563, 1432, 594, 6145, 281, 18421, 269, 634, 2278, 8214, 956, 513, 2352, 1641, 609, 12383, 543, 1806, 513, 1126, 666, 1174, 563, 1432, 594, 2598, 3697, 281, 23875, 269, 0, 1862, 3568, 1271, 1344, 543, 513, 2143, 7778, 827, 7005, 546, 572, 6947, 3267, 799, 568, 849, 1644, 609, 2073, 8242, 512, 322, 910, 1007, 23179, 545, 3732, 1449, 910, 552, 1206, 1753, 267, 2994, 585, 3384, 6947, 1983, 267, 5355, 9656, 619, 6947, 563, 12626, 667, 572, 23016, 454, 272, 9752, 23016, 538, 661, 14566, 4147, 7741, 538, 18947, 4400, 12140, 538, 15990, 23718, 1284, 328, 2817, 654, 523, 6953, 11445, 18947, 4400, 3427, 594, 269, 31802, 1306, 513, 9972, 1164, 1153, 2296, 4429, 4131, 1562, 543, 16319, 281, 18001, 2290, 3525, 2454, 6947, 543, 6340, 634, 2081, 538, 799, 9439, 543, 3610, 2203, 6340, 543, 6947, 267, 2170, 543, 454, 7419, 3951, 476, 272, 9442, 29140, 476, 273, 476, 3445, 3764, 8028, 20937, 700, 8780, 2894, 5058, 28267, 297, 4488, 20937, 281, 15272, 786, 1451, 875, 1434, 6947, 1983, 616, 5532, 547, 1895, 3375, 1818, 543, 547, 1373, 513, 4429, 2894, 21923, 23360, 595, 7838, 30278, 8085, 9331, 590, 4596, 14154, 6730, 10323, 12702, 9970, 7690, 547, 5426, 476, 277, 7335, 543, 7348, 532, 5675, 24935, 543, 23016, 454, 14303, 664, 11334, 676, 23016, 1677, 4256, 654, 1218, 543, 20126, 918, 15811, 589, 269, 744, 3519, 24335, 5101, 10491, 2160, 17593, 901, 1382, 1353, 11567, 519, 6499, 543, 2115, 4429, 310, 718, 17879, 595, 20315, 7838, 8085, 700, 5058, 309, 8780, 17628, 4041, 313, 476, 1839, 1530, 857, 2317, 320, 23016, 8356, 3068, 851, 324, 7188, 1035, 652, 598, 15479, 269, 1230, 15479, 592, 3331, 362, 1338, 701, 24140, 694, 857, 2317, 320, 7335, 267, 3331, 362, 660, 516, 321, 19327, 476, 2641, 267, 533, 698, 2088, 476, 2918, 563, 293, 27518, 476, 1428, 628, 2904, 476, 1001, 276, 476, 6021, 269, 876, 268, 1556, 269, 876, 589, 304, 288, 717, 4753, 2296, 9085, 645, 476, 272, 700, 3951, 289, 272, 476, 273, 327, 476, 876, 332, 476, 6021, 269, 876, 268, 6021, 269, 3374, 589, 304, 288, 23722, 5053, 5149, 476, 272, 23016, 7690, 476, 5379, 280, 7906, 293, 476, 271, 327, 476, 3374, 332, 454, 6944, 757, 8729, 543, 11760, 906, 17488, 1677, 519, 2875, 476, 272, 4530, 476, 272, 7433, 476, 272, 7335, 476, 275, 7433, 476, 273, 5675, 476, 1691, 7433, 476, 274, 2422, 540, 2296, 476, 1626, 7433, 476, 275, 23016, 476, 2190, 7433, 476, 276, 24935, 476, 3066, 454, 273, 6092, 13898, 630, 17582, 7749, 7844, 264, 25004, 3446, 2296, 5161, 540, 2542, 267, 1603, 267, 6340, 267, 6947, 543, 2923, 7924, 1983, 269, 4438, 519, 3625, 540, 454, 273, 6092, 13898, 630, 17582, 7749, 7844, 264, 19549, 3446, 2296, 5161, 540, 2542, 267, 1603, 267, 6340, 267, 6947, 543, 2923, 7924, 1983, 269, 4438, 519, 3625, 540, 0, 292, 298, 275, 307, 1323, 2254, 730, 8249, 454, 300, 2292, 543, 30914, 8249, 454, 763, 2724, 543, 12948, 1949, 616, 1631, 1476, 3836, 1107, 519, 12948, 1062, 711, 1152, 21314, 519, 1062, 540, 11033, 855, 849, 5932, 519, 5907, 2724, 649, 946, 563, 268, 30914, 476, 6200, 454, 268, 14559, 5137, 454, 268, 6356, 540, 2724, 1062, 593, 519, 4346, 454, 268, 10261, 539, 15024, 543, 3435, 454, 5416, 644, 1470, 264, 634, 8798, 540, 2724, 1107, 901, 1977, 5020, 454, 288, 5925, 3460, 883, 2724, 5143, 998, 1614, 2984, 281, 519, 29267, 990, 762, 6149, 2724, 540, 513, 840, 11897, 12009, 2486, 267, 519, 6015, 8945, 602, 17468, 5132, 538, 519, 9304, 538, 8478, 267, 519, 5318, 2724, 5137, 676, 519, 8549, 15944, 1282, 519, 2883, 6433, 269, 634, 1982, 2488, 513, 2631, 585, 519, 9112, 543, 3134, 31906, 531, 2298, 540, 2724, 563, 16248, 2606, 7044, 676, 519, 15474, 14559, 4659, 454, 17635, 8721, 264, 4208, 568, 972, 865, 1454, 7963, 888, 7336, 1622, 875, 2724, 568, 2813, 676, 519, 8492, 609, 519, 1615, 340, 766, 540, 7963, 543, 519, 2601, 585, 519, 2479, 2810, 1377, 540, 1857, 543, 4357, 7963, 563, 17635, 8721, 264, 5600, 5777, 269, 4208, 616, 789, 865, 1164, 888, 4537, 3298, 875, 519, 2724, 5137, 12314, 609, 4871, 23831, 4870, 919, 1483, 10040, 18616, 543, 3186, 8494, 3278, 519, 4346, 563, 17635, 8721, 264, 5295, 540, 24434, 5288, 269, 22640, 454, 4537, 3298, 519, 1351, 4592, 633, 1198, 593, 9111, 540, 519, 4357, 8492, 685, 1379, 547, 1711, 2724, 563, 2690, 513, 811, 538, 3829, 4367, 547, 2724, 543, 12948, 1934, 568, 513, 3670, 12268, 3126, 540, 7044, 676, 519, 15474, 14559, 4659, 1572, 30914, 476, 6200, 630, 1652, 982, 606, 5662, 538, 2698, 994, 17635, 8721, 264, 16700, 935, 8526, 15907, 30914, 1107, 30914, 476, 6200, 851, 476, 272, 454, 289, 3471, 798, 711, 1832, 938, 2724, 2922, 585, 721, 267, 6862, 616, 789, 2883, 10827, 2456, 2921, 538, 12074, 543, 23831, 1346, 12074, 856, 563, 17635, 8721, 264, 1548, 779, 4636, 609, 519, 2724, 12750, 1512, 286, 1107, 30914, 476, 6200, 851, 476, 273, 454, 763, 1034, 1455, 2203, 585, 7713, 2724, 5137, 1107, 519, 2724, 12750, 1512, 267, 568, 606, 11234, 2203, 540, 4641, 269, 24434, 547, 711, 723, 547, 7227, 585, 12074, 538, 1931, 547, 1118, 12029, 269, 10753, 753, 2097, 1101, 1107, 10211, 5932, 12074, 711, 519, 824, 1259, 1472, 563, 17635, 8721, 264, 1215, 568, 2724, 2731, 1500, 676, 8492, 1107, 30914, 476, 6200, 851, 476, 274, 454, 17004, 519, 8051, 17979, 8492, 666, 946, 547, 1711, 2724, 454, 17635, 8721, 264, 1215, 1454, 2724, 666, 8492, 1711, 286, 1107, 30914, 476, 6200, 851, 476, 275, 454, 9616, 281, 1703, 616, 1100, 15395, 4170, 538, 519, 5177, 269, 3353, 1227, 267, 649, 723, 15395, 4170, 538, 519, 2475, 855, 789, 616, 3927, 711, 7889, 1456, 519, 1377, 540, 23831, 540, 519, 8492, 269, 1306, 21142, 29385, 267, 18947, 21470, 5518, 540, 519, 8549, 15944, 7813, 540, 1715, 3840, 538, 476, 3422, 280, 968, 1103, 519, 1483, 1158, 267, 8492, 8831, 5491, 267, 2870, 12074, 538, 519, 1184, 2073, 543, 1413, 585, 519, 14425, 2663, 1848, 634, 8549, 15944, 8383, 919, 519, 2115, 585, 15395, 540, 519, 4357, 12948, 5823, 2094, 789, 6410, 2476, 689, 9013, 519, 7274, 540, 2724, 538, 10009, 513, 7008, 540, 5756, 3516, 543, 5059, 3079, 593, 519, 5313, 2508, 2557, 563, 17635, 8721, 264, 1684, 8492, 1711, 2724, 610, 1175, 5491, 286, 1107, 30914, 476, 6200, 851, 476, 276, 454, 763, 5907, 2724, 2813, 676, 8492, 538, 519, 1184, 540, 14178, 5491, 630, 14708, 12029, 264, 568, 3927, 5828, 883, 2724, 676, 519, 1857, 5823, 16005, 6142, 630, 293, 291, 2975, 538, 519, 2475, 1202, 999, 4871, 12074, 909, 547, 1269, 7742, 267, 1822, 829, 1268, 1916, 17635, 8721, 264, 1215, 2724, 4991, 10032, 1107, 30914, 476, 6200, 851, 476, 277, 454, 763, 2724, 5137, 1184, 568, 20328, 950, 12029, 616, 1065, 4660, 269, 10753, 534, 23231, 906, 16756, 519, 2724, 3761, 563, 263, 14835, 264, 14559, 20520, 538, 519, 7073, 19004, 1107, 7813, 540, 4789, 476, 1001, 275, 1627, 272, 10116, 569, 16886, 514, 630, 514, 23059, 994, 7336, 1622, 875, 1034, 540, 519, 2724, 649, 946, 568, 2813, 676, 519, 4357, 12948, 5823, 950, 789, 1118, 12029, 269, 4112, 1622, 519, 1198, 540, 11050, 2653, 532, 538, 519, 5177, 563, 263, 1504, 264, 634, 5680, 540, 32124, 676, 31130, 9466, 454, 17809, 1938, 519, 3140, 5133, 585, 938, 1699, 2724, 543, 12948, 1062, 269, 3367, 338, 899, 513, 6760, 3209, 855, 568, 2965, 1875, 27395, 2336, 17635, 8721, 264, 634, 10555, 540, 23520, 454, 17359, 3259, 17245, 16439, 519, 1686, 540, 938, 1699, 2724, 543, 12948, 1062, 563, 22546, 540, 2724, 1062, 593, 519, 4346, 454, 17635, 8721, 264, 1215, 519, 2804, 3684, 1568, 676, 14105, 18243, 1470, 630, 842, 549, 994, 7336, 1622, 875, 519, 5491, 4783, 630, 20142, 1508, 676, 2724, 5137, 676, 519, 12948, 5823, 264, 5540, 519, 2804, 1870, 4783, 563, 17635, 8721, 264, 19043, 540, 13075, 6963, 676, 7812, 18007, 18485, 600, 454, 7336, 1622, 519, 24245, 1764, 540, 938, 7963, 2861, 2724, 1062, 593, 938, 4346, 543, 938, 2729, 454, 23921, 539, 15024, 543, 3435, 454, 263, 1504, 264, 7073, 1944, 14559, 676, 5484, 21619, 517, 543, 12448, 12722, 630, 514, 23059, 994, 25802, 2312, 1433, 7713, 13075, 3069, 267, 875, 519, 1699, 2724, 543, 12948, 1062, 1568, 543, 875, 621, 991, 547, 581, 9927, 547, 24644, 519, 4346, 543, 547, 973, 2194, 675, 519, 1871, 540, 2724, 5137, 585, 519, 4324, 540, 519, 2486, 693, 1804, 563, 263, 933, 2125, 924, 264, 670, 10611, 269, 476, 26482, 271, 2817, 17073, 25477, 16470, 630, 20911, 3633, 264, 2920, 630, 514, 23059, 994, 1607, 568, 513, 3915, 5189, 676, 6837, 2006, 667, 12447, 918, 1075, 514, 747, 538, 476, 1001, 272, 547, 2936, 519, 1826, 540, 13075, 6963, 4330, 538, 7073, 1944, 14559, 630, 5408, 1657, 1040, 898, 1131, 1711, 513, 3933, 8767, 16958, 547, 3313, 519, 2179, 540, 1007, 7963, 6954, 2724, 547, 581, 2813, 267, 621, 1131, 3084, 1125, 519, 8549, 15944, 543, 2322, 621, 896, 519, 2475, 27308, 543, 9004, 27847, 15395, 12948, 4061, 2921, 2476, 519, 1379, 540, 519, 4357, 12948, 5823, 547, 1711, 2724, 269, 24434, 1131, 581, 5828, 883, 2883, 10827, 2456, 269, 3371, 568, 519, 1257, 540, 519, 3915, 563, 17635, 8721, 264, 17721, 32124, 543, 674, 9332, 14559, 281, 16497, 689, 519, 6433, 543, 689, 930, 2025, 2804, 5931, 676, 1520, 1515, 25306, 630, 514, 23059, 994, 294, 1037, 12577, 1883, 16694, 4633, 3168, 693, 519, 25768, 2804, 3206, 602, 3893, 721, 883, 519, 2883, 6433, 543, 3168, 693, 2804, 4030, 540, 17024, 540, 519, 2250, 11021, 513, 9097, 6963, 540, 519, 2724, 543, 12948, 1062, 563, 17635, 8721, 264, 634, 9628, 4643, 4860, 529, 1243, 676, 7812, 918, 636, 327, 4752, 630, 514, 23059, 994, 28061, 918, 636, 327, 4752, 7710, 2081, 547, 2936, 538, 938, 2413, 2053, 519, 9097, 2699, 30472, 540, 519, 2724, 543, 12948, 1062, 6069, 1310, 519, 4279, 12870, 676, 17024, 2404, 519, 9628, 3427, 540, 13188, 454, 17635, 8721, 264, 4045, 532, 519, 667, 1824, 827, 519, 19004, 1107, 676, 7917, 25415, 630, 842, 549, 994, 1432, 779, 4636, 609, 519, 4346, 543, 875, 649, 3893, 1934, 630, 514, 476, 274, 3764, 994, 17635, 8721, 264, 6762, 1004, 798, 711, 1711, 6009, 1107, 570, 3633, 2911, 676, 19162, 12390, 21516, 630, 842, 549, 994, 4537, 3298, 602, 519, 968, 329, 984, 15888, 892, 616, 2965, 519, 1647, 1362, 3246, 14919, 3747, 547, 519, 4346, 454, 17635, 8721, 264, 32100, 8635, 538, 3013, 630, 842, 549, 994, 4537, 3298, 519, 6708, 547, 799, 5763, 8635, 814, 6738, 538, 3013, 269, 2290, 7271, 585, 519, 4797, 2333, 538, 5763, 8635, 568, 519, 7963, 2861, 2724, 1062, 2094, 938, 2724, 3761, 568, 968, 517, 10211, 892, 689, 1346, 945, 723, 5763, 2907, 610, 519, 4357, 12948, 5823, 602, 666, 1711, 621, 269, 634, 1719, 649, 2628, 15217, 593, 519, 3003, 2724, 3761, 568, 513, 3454, 593, 519, 11327, 4346, 602, 4483, 5763, 538, 519, 1688, 540, 519, 1906, 563, 263, 14835, 264, 9483, 2208, 543, 8635, 630, 842, 549 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11947, 268, 26660, 6052, 631, 2678, 20111, 338, 609, 14847, 1438, 623, 878, 532, 454, 1432, 1772, 6052, 631, 2678, 20111, 888, 763, 1648, 11281, 20111, 568, 9280, 609, 8596, 602, 2268, 1648, 946, 267, 971, 607, 6453, 543, 1699, 269, 901, 1239, 568, 1287, 4843, 593, 513, 6895, 610, 700, 7374, 269, 1306, 513, 1267, 267, 1648, 11281, 9102, 11387, 616, 3608, 543, 6325, 267, 12419, 4977, 1648, 13220, 538, 3764, 269, 769, 1840, 267, 5464, 1648, 4616, 936, 942, 2636, 3755, 547, 3313, 1648, 6165, 3466, 543, 4188, 5330, 5944, 269, 2060, 741, 4359, 2029, 267, 1648, 11281, 20111, 338, 616, 606, 17170, 1907, 585, 1648, 2359, 4648, 269, 2311, 22870, 5235, 267, 649, 5478, 1164, 7779, 1648, 11281, 20111, 338, 563, 7476, 513, 1863, 10839, 1631, 2336, 3963, 7994, 22870, 5235, 585, 2659, 6052, 631, 2678, 20111, 454, 16978, 3740, 20233, 719, 540, 6052, 631, 2678, 20111, 454, 2304, 1648, 11281, 20111, 666, 1406, 1599, 1134, 1510, 513, 1697, 5122, 11768, 269, 898, 568, 1898, 547, 20586, 782, 6213, 2609, 689, 519, 824, 5547, 12545, 547, 7413, 519, 4960, 540, 6959, 269, 634, 12627, 593, 519, 1648, 11281, 9102, 5547, 568, 519, 8998, 540, 519, 9219, 1852, 269, 4706, 1970, 17931, 5365, 568, 11630, 547, 6846, 267, 6850, 18878, 11166, 267, 543, 824, 5007, 7506, 269, 4475, 267, 621, 1590, 581, 13883, 538, 606, 9678, 3148, 2476, 689, 15244, 269, 634, 5547, 4604, 1590, 581, 2966, 971, 6213, 2609, 899, 519, 12627, 616, 711, 2800, 539, 563, 28830, 9701, 2142, 3117, 30872, 538, 6052, 631, 2678, 20111, 5071, 454, 2005, 779, 7543, 547, 1374, 519, 1648, 11281, 20111, 7157, 1510, 6236, 922, 1106, 3815, 267, 2450, 267, 543, 669, 817, 529, 1374, 269, 634, 20111, 2934, 602, 1590, 581, 30402, 1725, 13443, 15095, 1058, 581, 17479, 693, 513, 3845, 689, 519, 4604, 779, 4580, 779, 13020, 344, 267, 971, 607, 1379, 2959, 267, 3059, 3334, 267, 543, 513, 1699, 2132, 1899, 563, 6624, 949, 2307, 267, 968, 2710, 1648, 11281, 20111, 338, 2270, 25801, 2326, 9495, 634, 2626, 568, 9811, 269, 9453, 891, 2326, 267, 972, 568, 1100, 25801, 11443, 593, 519, 1648, 11281, 9102, 5547, 4604, 269, 1656, 519, 1570, 1058, 723, 5140, 3002, 4744, 11692, 2702, 267, 543, 972, 1058, 849, 581, 606, 10072, 1570, 609, 19428, 6106, 563, 763, 1570, 1942, 1058, 581, 10097, 269, 1703, 616, 1732, 3681, 982, 1210, 1932, 7199, 2326, 269, 21019, 568, 2442, 538, 519, 6052, 631, 2678, 20111, 1374, 1317, 540, 922, 5140, 19428, 269, 898, 568, 519, 3501, 1570, 585, 519, 11443, 10250, 540, 519, 20111, 4604, 269, 4033, 4496, 2326, 609, 5140, 25801, 3601, 267, 971, 607, 8988, 610, 4154, 267, 616, 849, 593, 519, 2344, 269, 12846, 267, 891, 2326, 616, 1932, 7199, 547, 946, 1570, 20111, 2504, 269, 1924, 7601, 568, 606, 5140, 4781, 585, 25801, 2326, 563, 24916, 267, 1648, 11281, 20111, 4604, 849, 991, 513, 10464, 1970, 267, 19428, 1570, 547, 1202, 3634, 519, 25801, 4494, 269, 15394, 267, 519, 32229, 4494, 568, 1500, 540, 21598, 268, 275, 563, 1103, 519, 20111, 1374, 267, 20111, 13020, 344, 267, 4105, 11387, 267, 3059, 3334, 267, 543, 1379, 2959, 11768, 1058, 581, 2808, 269, 20111, 13020, 344, 1058, 581, 9674, 689, 1346, 2694, 563, 2414, 2327, 6325, 4421, 1359, 267, 519, 3845, 1063, 3334, 593, 519, 1648, 11281, 20111, 1058, 581, 607, 2110, 607, 2009, 563, 763, 1101, 3364, 547, 2015, 568, 875, 547, 8905, 519, 15244, 585, 519, 1648, 11281, 5547, 4604, 269, 634, 2230, 1063, 11443, 15244, 1058, 581, 811, 27763, 982, 1079, 2053, 540, 15244, 269, 1744, 1752, 532, 15244, 616, 1898, 547, 17527, 6846, 563, 2414, 3986, 713, 1198, 267, 946, 1114, 27733, 6127, 269, 1411, 666, 1256, 946, 1585, 31364, 15244, 547, 9004, 6846, 269, 898, 779, 1655, 547, 2057, 11093, 31364, 15244, 1985, 547, 5365, 14742, 563, 290, 1844, 7057, 1058, 849, 723, 513, 6131, 1699, 2132, 2619, 543, 581, 9674, 689, 824, 11387, 676, 513, 3845, 540, 693, 2547, 476, 272, 7825, 269, 634, 11768, 849, 7506, 13590, 7180, 269, 18641, 267, 621, 779, 2009, 547, 1711, 513, 5547, 609, 1896, 6106, 267, 1519, 513, 1379, 3761, 563, 2005, 849, 1058, 723, 606, 4830, 1699, 2132, 2619, 267, 23295, 2059, 519, 5365, 10250, 23332, 610, 9944, 621, 563, 4932, 296, 666, 1860, 519, 960, 540, 519, 1648, 11281, 20111, 269, 1717, 267, 1434, 2298, 1648, 11281, 20111, 12545, 267, 1256, 2324, 538, 1164, 23151, 13590, 4610, 1604, 267, 666, 960, 1134, 267, 1100, 2339, 952, 789, 3068, 2234, 7007, 610, 25801, 661, 11085, 269, 901, 568, 1317, 519, 2932, 11443, 12958, 25801, 661, 11085, 267, 543, 519, 2234, 7007, 661, 11085, 2501, 689, 519, 2792, 2823, 563, 763, 8545, 568, 6353, 676, 513, 26688, 1164, 23151, 2361, 9070, 908, 998, 519, 2011, 1510, 1463, 3346, 563, 2414, 7413, 519, 1198, 540, 661, 11085, 593, 606, 1648, 11281, 267, 519, 5547, 4604, 1058, 6451, 1880, 3334, 547, 11574, 6846, 269, 1452, 1331, 1232, 537, 7204, 29522, 267, 799, 4894, 6846, 689, 519, 6453, 2619, 269, 1403, 519, 20111, 10250, 568, 1932, 2673, 547, 519, 1232, 537, 7204, 29522, 267, 789, 949, 1860, 676, 8994, 32366, 766, 267, 865, 789, 1058, 581, 4092, 2484, 2476, 689, 1142, 824, 269, 634, 19944, 8462, 4390, 540, 513, 6882, 786, 4096, 593, 519, 1826, 540, 11418, 538, 519, 5547, 563, 763, 1739, 616, 2081, 547, 7413, 519, 661, 11085, 1198, 538, 519, 1648, 11281, 20111, 24298, 676, 22870, 5235, 563, 272, 264, 2422, 540, 7542, 1679, 23780, 585, 1379, 3515, 454, 273, 264, 1744, 1752, 532, 540, 15791, 543, 13475, 454, 274, 264, 16140, 14742, 454, 275, 264, 21561, 10250, 11097, 2195, 5071, 27101, 29282, 454, 276, 264, 8838, 2711, 4604, 10518, 5346, 1374, 454, 277, 264, 4635, 661, 11085, 12086, 4882, 6269, 816, 832, 454, 278, 264, 7743, 946, 540, 21271, 29522, 454, 279, 264, 30785, 13307, 543, 521, 1944, 540, 1232, 537, 7204, 29522, 454, 280, 264, 3674, 565, 908, 6213, 3334, 689, 6846, 2959, 454, 1432, 9877, 338, 540, 22020, 3657, 22490, 538, 6052, 631, 2678, 20111, 888, 3086, 596, 949, 6318, 513, 1007, 2243, 267, 968, 1432, 5686, 540, 3334, 616, 2877, 538, 519, 1648, 11281, 20111, 9495, 1703, 949, 581, 1585, 2010, 540, 5907, 3334, 538, 519, 20111, 269, 3962, 5057, 4249, 606, 1271, 1909, 269, 1358, 666, 1406, 581, 8719, 676, 1142, 824, 269, 2913, 779, 4131, 779, 1491, 513, 19214, 693, 891, 3334, 563, 3963, 6496, 1323, 6052, 631, 2678, 20111, 10261, 5843, 19055, 619, 888, 5278, 6846, 1131, 581, 6383, 676, 519, 1648, 11281, 3294, 267, 799, 666, 1860, 519, 1648, 11281, 6482, 1871, 269, 4475, 267, 649, 1058, 9004, 519, 6846, 538, 519, 13590, 4610, 543, 2569, 741, 3310, 593, 519, 11281, 779, 2324, 269, 898, 786, 15983, 21554, 593, 596, 602, 519, 1909, 540, 29668, 619, 568, 547, 2232, 6846, 2042, 563, 8794, 519, 29668, 518, 666, 2569, 519, 6846, 15754, 543, 9004, 519, 3310, 540, 519, 6850, 18878, 11166, 593, 519, 20111, 4604, 269, 3973, 519, 3765, 15105, 9327, 1406, 30524, 333, 1406, 4755, 1586, 563, 1692, 666, 596, 1852, 519, 2298, 540, 1648, 11281, 20111, 338, 888, 2414, 2386, 519, 2298, 540, 519, 20111, 649, 1118, 616, 6325, 267, 649, 2356, 946, 2185, 2010, 540, 519, 1449, 1505, 547, 1852, 519, 1648, 11281, 20111, 338, 269, 634, 2185, 2010, 540, 4152, 2081, 616, 6764, 592, 572, 30579, 4530, 267, 11536, 291, 13281, 267, 8028, 30579, 6184, 1637, 4530, 267, 543, 8738, 560, 4530, 563, 763, 1648, 11281, 20111, 568, 513, 2565, 5057, 540, 1648, 7397, 543, 1590, 581, 7318, 547, 2327, 621, 10742, 519, 2838, 3106, 4441, 269, 634, 20949, 6453, 1449, 568, 835, 971, 1449, 602, 2337, 2708, 519, 2773, 540, 1648, 11281, 20111, 338, 269, 901, 1449, 3322, 1641, 532, 519, 1648, 11281, 20111, 547, 606, 5122, 13942, 609, 513, 1360, 1164, 9588, 585, 513, 2110, 8653, 267, 3335, 1896, 2890, 572, 6948, 610, 1447, 563, 5475, 713, 20949, 6453, 814, 1044, 4294, 267, 519, 1648, 11281, 20111, 1590, 711, 3111, 610, 29840, 282, 621, 1058, 3136, 8647, 7363, 19952, 269, 901, 1449, 6663, 547, 13182, 2436, 519, 1648, 11281, 20111, 666, 16641, 23644, 28696, 1510, 1373, 8697, 267, 3976, 4180, 922, 2922, 5106, 538, 1483, 8996, 2175, 563, 6097, 547, 22870, 5235, 779, 1995, 267, 11979, 5201, 666, 581, 513, 4049, 1966, 538, 1648, 11281, 20111, 5663, 267, 607, 621, 666, 3441, 6213, 3334, 269, 4475, 267, 952, 649, 1616, 547, 2327, 602, 1648, 7397, 616, 2922, 543, 6325, 267, 11536, 291, 630, 19491, 15543, 1738, 11166, 264, 4152, 568, 5342, 547, 6895, 519, 2702, 540, 1648, 11281, 20111, 338, 547, 16641, 11979, 5201, 1510, 3441, 563, 308, 526, 16040, 267, 713, 1826, 540, 4152, 568, 1898, 585, 1022, 1648, 11281, 10672, 945, 6499, 547, 3132, 1164, 7779, 2472, 602, 2743, 3106, 4441, 269, 966, 807, 2581, 568, 1100, 9868, 269, 5015, 267, 998, 11536, 291, 4152, 267, 22870, 5235, 666, 5431, 1761, 2152, 1354, 789, 2049, 543, 1491, 3800, 547, 2232, 873, 3533, 543, 7561, 563, 2026, 938, 8030, 2303, 267, 7900, 606, 8028, 30579, 6184, 1637, 4530, 593, 519, 1648, 11281, 20111, 1354, 10380, 568, 1898, 547, 2327, 519, 3926, 779, 3106, 269, 901, 1449, 2337, 5431, 1761, 13471, 14286, 3361, 676, 5007, 2188, 971, 607, 7452, 610, 7509, 3824, 816, 563, 763, 2164, 540, 713, 1449, 666, 948, 13209, 1022, 24966, 1336, 538, 519, 1648, 11281, 20111, 543, 1450, 585, 30997, 3800, 547, 581, 3144, 269, 898, 849, 2636, 8030, 547, 2708, 2436, 2417, 4255, 616, 2877, 1354, 10380, 563, 1103, 938, 6644, 267, 519, 1648, 11281, 20111, 16802, 1449, 568, 513, 2565, 1900, 540, 1648, 11281, 5663, 267, 2016, 602, 621, 5849, 602, 519, 1648, 7397, 666, 1184, 1164, 2157, 540, 5122, 1648, 269, 634, 1449, 6663, 547, 3313, 875, 1454, 1648, 606, 1648, 11281, 20111, 666, 1491, 1354, 621, 14543, 610, 9397, 1524, 269, 769, 1840, 267, 621, 2337, 9755, 22942, 4617, 6402, 538, 741, 1374, 543, 1118, 2242, 9935, 563, 3528, 4881, 713, 1449, 267, 966, 807, 2581, 666, 2327, 602, 938, 2472, 2743, 3106, 4441, 543, 1683, 6099, 6075, 2773, 269, 9453, 713, 1449, 267, 649, 666, 1406, 4952, 602, 1648, 20111, 338, 1832, 6325, 543, 2922, 563, 3963, 1684, 1411, 10261, 547, 6513, 23688, 783, 1473, 10631, 766, 538, 519, 6052, 631, 2678, 20111, 338, 888, 1432, 10049, 14348, 2142, 13242, 547, 5269, 6052, 631, 2678, 20111, 338, 888, 1692, 547, 1118, 513, 2953, 700, 7374, 20233, 719, 593, 6052, 631, 2678, 20111, 888, 21328, 631, 2678, 20111, 1306, 5145, 1782, 454, 26502, 18748, 6052, 631, 2678, 20111, 13437, 454, 763, 32366, 766, 540, 27810, 538, 606, 6052, 11281, 568, 513, 1713, 3815, 602, 5540, 922, 2773, 269, 3213, 2812, 666, 581, 1500, 540, 1114, 2326, 4470, 593, 741, 2450, 269, 634, 1034, 3608, 3283, 3970, 519, 2179, 540, 2011, 2230, 1472, 519, 5122, 26423, 269, 898, 568, 849, 1634, 607, 519, 6445, 3815, 563, 8794, 5180, 12904, 786, 2141, 1267, 538, 513, 7934, 538, 519, 8998, 540, 519, 16509, 267, 855, 713, 7934, 666, 581, 2799, 676, 2810, 519, 1297, 540, 7140, 269, 634, 6445, 3815, 666, 581, 2799, 676, 1210, 14328, 610, 4009, 12904, 563, 24916, 519, 3259, 540, 519, 16509, 267, 519, 32366, 766, 540, 513, 16509, 666, 849, 581, 2799, 610, 8519, 676, 4657, 519, 1570, 269, 634, 3152, 519, 1570, 779, 332, 1468, 779, 27978, 267, 519, 2362, 519, 32366, 766, 269, 634, 811, 27978, 267, 519, 2362, 519, 32366, 766, 267, 855, 519, 1447, 6419, 27978, 267, 519, 14758, 519, 32366, 766, 269, 1403, 519, 1648, 11281, 3096, 1732, 32366, 766, 267, 621, 666, 16641, 811, 4187, 563, 16978, 15543, 1738, 11166, 568, 606, 1898, 3815, 538, 519, 2949, 2773, 540, 1648, 7397, 269, 1717, 267, 1896, 2188, 949, 1860, 11536, 291, 4152, 267, 1519, 519, 6453, 267, 519, 7934, 8700, 267, 543, 519, 942, 1063, 519, 17579, 525, 269, 12989, 616, 930, 4808, 547, 948, 596, 3313, 2436, 519, 6850, 18878, 11166, 5540, 707, 6052, 11281, 779, 2773, 269, 17616, 267, 596, 1590, 1174, 1018, 606, 6850, 18878, 11166, 568, 563, 2304, 11536, 291, 568, 606, 5122, 11166, 602, 5540, 519, 5547, 4604, 540, 606, 3167, 27115, 269, 634, 6453, 2838, 585, 606, 11536, 291, 11166, 568, 1644, 547, 519, 6453, 4294, 269, 634, 2362, 519, 6453, 267, 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 ]

[ 0, 301, 1731, 27204, 538, 5771, 454, 17504, 21208, 27204, 1797, 7365, 610, 12311, 6674, 538, 12428, 1893, 269, 634, 562, 1731, 27204, 538, 28991, 3568, 1390, 2956, 269, 901, 2262, 568, 1031, 538, 20845, 547, 4766, 827, 519, 12311, 6674, 563, 30547, 540, 21208, 27204, 454, 763, 5339, 2495, 540, 713, 2262, 568, 950, 1079, 1919, 9192, 609, 1142, 824, 543, 3587, 835, 568, 1572, 519, 21208, 27204, 563, 15008, 540, 21208, 27204, 454, 288, 21208, 27204, 568, 606, 9099, 4579, 799, 3217, 1747, 1063, 606, 2937, 7332, 812, 543, 606, 2937, 4807, 609, 741, 1863, 786, 338, 538, 519, 4527, 540, 1079, 22168, 689, 1142, 2427, 269, 901, 4579, 666, 581, 2854, 610, 11913, 543, 621, 10522, 930, 11645, 543, 2924, 593, 519, 24931, 6105, 563, 14532, 540, 7365, 454, 6524, 5771, 267, 972, 941, 1114, 2010, 540, 22888, 799, 941, 1455, 10838, 519, 1004, 540, 29240, 269, 769, 1346, 22888, 267, 4807, 1185, 1100, 2924, 543, 1100, 1852, 936, 1022, 2339, 269, 4173, 6644, 729, 711, 2808, 1271, 269, 2701, 1223, 711, 16028, 1200, 9393, 607, 1134, 269, 1703, 941, 1100, 7687, 593, 519, 812, 693, 602, 942, 269, 2494, 729, 1863, 547, 19533, 607, 1082, 2053, 607, 646, 4941, 543, 2436, 547, 1521, 24726, 8449, 610, 711, 269, 654, 1057, 1185, 1100, 2924, 1256, 936, 1200, 1453, 610, 5826, 563, 30812, 1431, 540, 21208, 27204, 454, 16729, 616, 519, 2175, 540, 21208, 27204, 454, 288, 4807, 543, 812, 1058, 581, 2937, 585, 519, 3483, 540, 21208, 27204, 269, 25175, 945, 568, 513, 1126, 543, 1447, 982, 519, 2085, 540, 23648, 3112, 581, 9310, 1256, 676, 519, 10479, 540, 1200, 610, 1010, 27369, 563, 273, 269, 7332, 610, 4807, 540, 1433, 454, 1607, 1797, 602, 547, 2932, 513, 21208, 27204, 1312, 1058, 581, 12356, 269, 1809, 513, 7332, 812, 666, 19533, 513, 4807, 945, 568, 4168, 610, 9925, 855, 971, 15194, 568, 1152, 585, 812, 543, 711, 10858, 593, 513, 7332, 4807, 563, 288, 812, 1058, 2141, 4782, 513, 7332, 8004, 936, 1875, 1660, 3916, 8004, 454, 3719, 952, 2576, 6499, 547, 19533, 513, 1875, 1660, 3916, 8004, 1287, 519, 8004, 1058, 581, 669, 770, 1047, 267, 2057, 2098, 2088, 267, 543, 1200, 530, 8932, 1058, 581, 513, 7332, 454, 1607, 1554, 1496, 718, 316, 1434, 3536, 723, 1044, 1500, 1876, 995, 267, 543, 519, 1426, 540, 1346, 945, 941, 2016, 519, 23075, 568, 1876, 995, 585, 596, 543, 707, 1426, 568, 1876, 995, 585, 873, 269, 1656, 1496, 32016, 538, 7365, 616, 316, 669, 4292, 2021, 689, 1851, 519, 21071, 543, 669, 4292, 2021, 689, 1851, 1346, 945, 941, 2016, 519, 23075, 1354, 596, 267, 950, 596, 723, 2016, 873, 741, 1813, 13180, 267, 964, 3931, 669, 770, 640, 267, 711, 796, 32016, 4638, 26697, 610, 2921, 1496, 572, 4038, 316, 18798, 269, 1656, 945, 1197, 3954, 625, 519, 5132, 1107, 1010, 960, 814, 1831, 4502, 1652, 267, 543, 646, 267, 538, 519, 3371, 12898, 267, 786, 581, 1851, 519, 17485, 619, 269, 2672, 19207, 1325, 30823, 320, 14235, 476, 276, 563, 2467, 616, 1082, 4220, 538, 3478, 9310, 547, 513, 1875, 1660, 3916, 8004, 1317, 519, 1453, 616, 811, 2693, 547, 1246, 519, 3993, 865, 621, 666, 1291, 547, 2042, 19952, 563, 274, 269, 20644, 630, 292, 6359, 629, 994, 1607, 1797, 7365, 11556, 6035, 547, 519, 4807, 610, 1200, 25330, 538, 1931, 547, 3343, 10479, 543, 741, 9844, 585, 7365, 269, 901, 666, 581, 2944, 519, 824, 1259, 607, 1134, 676, 11488, 513, 11556, 547, 513, 812, 676, 519, 27369, 540, 519, 4807, 563, 275, 269, 20504, 766, 630, 918, 5429, 994, 763, 2034, 2783, 540, 21208, 27204, 568, 10343, 540, 11556, 1547, 1403, 1352, 610, 646, 23216, 609, 1200, 610, 1010, 1863, 786, 1287, 519, 21208, 27204, 666, 581, 3144, 1747, 563, 276, 269, 5565, 7198, 454, 2414, 2932, 519, 21208, 27204, 267, 1079, 5256, 22168, 616, 2556, 689, 1312, 519, 5011, 563, 2690, 513, 7332, 1695, 267, 513, 5256, 530, 8932, 568, 2556, 547, 2285, 1200, 883, 519, 21208, 27204, 540, 513, 533, 1190, 1268, 269, 654, 8932, 666, 581, 1200, 4651, 610, 1200, 7015, 610, 1022, 5256, 812, 538, 1200, 1920, 945, 568, 513, 2725, 327, 1090, 547, 1200, 269, 1809, 621, 568, 711, 7989, 24777, 585, 513, 530, 8932, 547, 3196, 519, 4807, 269, 654, 8932, 666, 3391, 519, 4807, 855, 519, 3803, 3375, 1058, 581, 540, 519, 4807, 563, 278, 269, 715, 340, 696, 658, 10516, 610, 2725, 615, 454, 763, 8356, 696, 658, 10516, 568, 2556, 607, 1134, 538, 5771, 607, 513, 4027, 585, 519, 4807, 563, 302, 596, 945, 723, 5156, 267, 950, 519, 18468, 2021, 2097, 547, 596, 607, 32164, 7847, 267, 4983, 873, 269, 16589, 568, 1034, 6616, 607, 547, 741, 5132, 269, 1656, 952, 596, 917, 873, 547, 581, 21071, 267, 1287, 798, 711, 2132, 873, 547, 519, 771, 29207, 951, 282, 789, 616, 711, 1876, 995, 1496, 342, 1161, 316, 585, 873, 267, 6862, 616, 789, 1876, 995, 1496, 327, 639, 27512, 316, 585, 873, 269, 1809, 2285, 519, 771, 29207, 951, 1018, 789, 723, 6170, 269, 1656, 972, 568, 1100, 16620, 2390, 596, 952, 596, 19533, 873, 950, 596, 723, 2016, 873, 741, 1813, 13180, 269, 1656, 3180, 711, 547, 7365, 7554, 609, 771, 29207, 1324, 2021, 267, 855, 2307, 585, 1018, 596, 723, 6170, 543, 1577, 873, 2307, 585, 1018, 789, 723, 6170, 269, 2334, 568, 519, 27790, 540, 16589, 6902, 1261, 16488, 1063, 596, 269, 1656, 16589, 568, 18833, 543, 29216, 269, 2672, 19207, 12804, 631, 636, 339, 1695, 2088, 14235, 476, 1015, 563, 8649, 870, 540, 715, 340, 696, 658, 717, 3424, 454, 2467, 568, 1100, 6378, 2179, 540, 8356, 696, 658, 10516, 269, 898, 666, 581, 6976, 2687, 547, 519, 786, 540, 519, 4807, 610, 2687, 547, 519, 17927, 540, 519, 812, 563, 6781, 340, 6428, 4821, 536, 269, 2048, 6781, 323, 620, 7304, 1695, 2006, 4080, 281, 594, 4280, 2048, 288, 685, 22781, 267, 519, 7385, 540, 16589, 779, 11619, 10152, 630, 12168, 369, 12022, 17262, 24291, 12022, 407, 479, 12168, 373, 12022, 17262, 407, 479, 476, 15906, 25078, 12022, 14534, 476, 2567, 1548, 568, 519, 2179, 540, 546, 1077, 540, 16589, 779, 11619, 10152, 630, 12168, 369, 12022, 17262, 24291, 12022, 407, 479, 12168, 373, 12022, 17262, 407, 479, 476, 15906, 25078, 12022, 14534, 3738, 286, 2701, 1767, 281, 898, 729, 12964, 2048, 340, 336, 12011, 553, 543, 835, 562, 1662, 269, 2701, 1767, 281, 1684, 596, 917, 1018, 568, 620, 5991, 1662, 286, 594, 1767, 281, 3143, 269, 2701, 1767, 281, 898, 568, 3368, 540, 579, 336, 31843, 267, 543, 621, 5666, 547, 2947, 4627, 546, 597, 327, 4461, 267, 543, 602, 729, 519, 546, 1077, 2016, 676, 16589, 779, 11619, 10152, 630, 12168, 369, 12022, 17262, 24291, 12022, 407, 479, 12168, 373, 12022, 17262, 407, 479, 476, 15906, 25078, 12022, 14534, 3738, 547, 1010, 24726, 269, 19300, 8811, 7332, 1433, 540, 562, 1731, 1695, 1185, 603, 1100, 476, 4097, 279, 280, 454, 6944, 847, 540, 7365, 454, 2005, 568, 711, 2556, 547, 723, 513, 4579, 593, 1957, 585, 513, 21208, 27204, 855, 621, 568, 1152, 2944, 585, 519, 3106, 540, 519, 4807, 865, 602, 519, 812, 1281, 711, 10443, 2476, 1310, 3478, 9310, 563, 301, 1731, 27204, 513, 3281, 13955, 454, 2252, 513, 1268, 568, 606, 2937, 543, 646, 610, 1352, 814, 4638, 991, 1287, 547, 2057, 2098, 2088, 267, 21208, 27204, 3587, 513, 735, 13955, 563, 301, 1731, 27204, 513, 6129, 333, 1695, 454, 301, 1731, 27204, 568, 519, 6129, 333, 1695, 540, 938, 10513, 21024, 630, 335, 12500, 269, 340, 19544, 264, 543, 547, 17712, 664, 689, 621, 568, 17400, 539, 676, 16589, 543, 1010, 21024, 1547, 634, 1523, 540, 13767, 756, 2329, 729, 28715, 676, 938, 21024, 563, 306, 320, 685, 573, 536, 269, 620, 5336, 639, 599, 344, 756, 4080, 281, 594, 4862, 15223, 8910, 630, 321, 269, 2806, 328, 20613, 336, 336, 553, 264, 6031, 602, 519, 2856, 540, 2048, 308, 628, 2006, 536, 269, 631, 1794, 685, 684, 585, 2713, 538, 13767, 756, 2329, 729, 15653, 630, 2421, 519, 10513, 21024, 1070, 543, 952, 646, 1185, 1044, 2016, 10479, 789, 1131, 723, 3893, 2933, 5641, 3603, 269, 19300, 8811, 7332, 1433, 540, 562, 1731, 1695, 1185, 603, 1100, 476, 22430, 276, 563, 3725, 915, 532, 513, 1160, 27760, 454, 2252, 513, 530, 8932, 610, 519, 8004, 6499, 547, 7947, 513, 11556, 267, 922, 741, 1318, 269, 2290, 1058, 1832, 538, 2247, 602, 7947, 532, 513, 11556, 593, 519, 6927, 540, 632, 523, 267, 669, 770, 640, 540, 812, 267, 1799, 7394, 6208, 568, 5386, 855, 519, 1866, 1919, 1775, 3887, 3959, 267, 2777, 267, 1920, 2818, 267, 15980, 267, 2069, 568, 711, 513, 4570, 1448, 547, 7947, 513, 11556, 563, 3519, 1061, 540, 11146, 25141, 538, 5771, 454, 27094, 7365, 568, 711, 19275, 538, 5771, 269, 589, 1268, 568, 4847, 547, 19533, 519, 1268, 540, 1010, 610, 1200, 3903, 269, 634, 11556, 1058, 581, 2366, 547, 519, 530, 8932, 543, 530, 8932, 1058, 2307, 519, 4807, 269, 1403, 1352, 23216, 1287, 530, 8932, 1058, 711, 3196, 873, 711, 547, 19533, 610, 547, 17712, 664, 873, 269, 1809, 2348, 606, 26035, 568, 711, 10300, 531, 563, 301, 1731, 27204, 19275, 609, 7247, 888, 301, 1731, 27204, 568, 19275, 609, 1739, 454, 1892, 5565, 19946, 693, 519, 1482, 942, 454, 1892, 2201, 525, 3993, 610, 4651, 454, 1892, 13574, 11078, 267, 1378, 14552, 454, 1892, 13574, 8250, 610, 5067, 454, 1892, 12429, 779, 11078, 610, 7015, 454, 1892, 12624, 779, 11078, 610, 7015, 454, 1892, 715, 19991, 610, 683, 15343, 342, 630, 335, 11189, 610, 14774, 994, 1892, 9835, 3237, 543, 6264, 1453, 454, 1892, 4279, 6264, 31225, 338, 543, 796, 3380, 454, 1892, 19716, 945, 5740, 539, 835, 454, 1892, 590, 3563, 610, 7015, 998, 8808, 454, 1892, 12429, 538, 1876, 610, 3993, 538, 1876, 454, 1892, 5153, 8250, 610, 1900, 5067, 896, 707, 25330, 1222, 454, 1892, 667, 5922, 538, 1876, 610, 5067, 538, 1876, 454, 1892, 13605, 515, 9749, 543, 562, 773, 806, 540, 9393, 543, 7385, 454, 1892, 1133, 2193, 543, 31225, 338, 540, 7385, 610, 9393, 454, 1892, 12443, 1492, 1235, 610, 6348, 7332, 4807, 610, 812, 454, 1892, 23893, 3023, 630, 2006, 609, 812, 543, 4807, 609, 4807, 994, 3682, 3031, 1243, 547, 596, 1496, 1721, 7365, 316, 616, 707, 11299, 267, 707, 20766, 267, 707, 19946, 267, 707, 4651, 779, 19946, 267, 707, 3993, 779, 19946, 267, 707, 7015, 779, 20766, 267, 707, 11078, 779, 20766, 267, 707, 1496, 332, 20488, 316, 11299, 945, 5740, 539, 596, 267, 707, 19946, 998, 8808, 267, 707, 24726, 685, 11299, 267, 543, 707, 1900, 1673, 18805, 896, 707, 25330, 1222, 1496, 9799, 316, 540, 707, 24726, 21349, 7247, 596, 723, 8854, 538, 269, 1809, 952, 596, 723, 711, 8854, 538, 21349, 873, 267, 972, 568, 1100, 5609, 2390, 596, 269, 1656, 1496, 10193, 19275, 616, 316, 519, 24726, 540, 707, 14930, 945, 616, 689, 707, 1496, 1144, 316, 3138, 1231, 267, 543, 602, 596, 1491, 1496, 514, 7365, 316, 1079, 19946, 8195, 267, 4849, 585, 1018, 814, 2907, 7018, 269, 11569, 267, 16589, 568, 2479, 1280, 15130, 543, 30330, 3814, 269, 2672, 19207, 1325, 715, 13453, 14235, 476, 2537, 454, 6781, 340, 670, 3120, 4275, 630, 5472, 1695, 581, 20938, 609, 1864, 264, 4080, 16589, 779, 11619, 10152, 630, 16673, 4708, 2390, 1864, 264, 2348, 1767, 713, 281, 2290, 1058, 711, 9192, 513, 4807, 543, 1200, 4651, 779, 11078, 267, 6862, 513, 4807, 543, 1200, 3993, 779, 11078, 538, 7365, 269, 19300, 8811, 7332, 1433, 540, 21208, 27204, 1185, 603, 476, 29340, 277, 454, 1103, 5771, 267, 812, 616, 4847, 547, 19533, 811, 982, 835, 4807, 693, 519, 1482, 942, 269, 589, 812, 1223, 711, 19533, 811, 982, 476, 275, 4807, 563, 30812, 1431, 540, 12443, 326, 18081, 454, 1892, 2353, 2021, 616, 7332, 610, 2021, 540, 1433, 454, 1892, 1261, 1058, 2307, 585, 10479, 540, 3105, 24726, 454, 1892, 1261, 1058, 1521, 782, 2021, 8449, 543, 952, 646, 12194, 602, 646, 1223, 711, 1521, 873, 8449, 1287, 646, 1058, 711, 19533, 563, 4517, 952, 596, 4250, 602, 596, 786, 711, 4308, 1175, 569, 609, 519, 29152, 6690, 267, 1287, 19533, 1346, 602, 5225, 596, 540, 1496, 1278, 316, 2021, 267, 1079, 610, 1614, 610, 2185, 269, 1809, 952, 596, 4250, 602, 596, 786 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12433, 9314, 15580, 543, 7089, 540, 5384, 11270, 338, 692, 19950, 15580, 6726, 566, 16754, 692, 2080, 267, 649, 3580, 946, 513, 2104, 1871, 3830, 547, 4194, 585, 875, 1454, 513, 16005, 2221, 666, 1332, 547, 538, 519, 2104, 269, 1703, 616, 2053, 267, 2705, 267, 950, 649, 2907, 917, 1312, 519, 2104, 543, 1459, 2418, 543, 1616, 547, 917, 2901, 519, 1719, 2557, 610, 519, 1297, 540, 942, 5712, 621, 3576, 547, 7118, 519, 2104, 3666, 780, 2171, 666, 946, 519, 1739, 4542, 547, 4194, 585, 519, 1719, 2557, 630, 15290, 621, 568, 519, 7164, 17107, 17961, 9387, 31905, 674, 13997, 309, 13925, 333, 3686, 284, 303, 13997, 309, 13925, 271, 14990, 9392, 2715, 3189, 3847, 263, 476, 272, 266, 328, 1422, 2431, 264, 8703, 333, 3686, 8607, 261, 2715, 8703, 293, 13997, 309, 13925, 333, 3686, 348, 270, 346, 13925, 303, 13997, 309, 13925, 271, 3686, 13157, 346, 3189, 3847, 263, 476, 272, 266, 328, 1422, 2431, 264, 8703, 333, 3686, 8607, 261, 2715, 3189, 3847, 314, 2715, 8703, 293, 13997, 309, 13925, 333, 3686, 348, 270, 346, 13925, 303, 13997, 309, 13925, 271, 3686, 348, 1422, 2431, 316, 8703, 346, 8703, 272, 348, 270, 346, 13925, 333, 3686, 13157, 346, 3189, 3847, 314, 2715, 3189, 3847, 263, 476, 272, 266, 328, 1422, 2431, 264, 8703, 333, 3686, 1422, 2431, 316, 8703, 346, 8703, 272, 348, 270, 346, 13925, 333, 3686, 18098, 3847, 263, 476, 272, 266, 328, 1422, 2431, 264, 8607, 261, 1775, 28121, 3189, 3847, 314, 2715, 8703, 293, 13997, 309, 13925, 333, 3686, 348, 270, 346, 13925, 303, 13997, 309, 13925, 271, 3686, 348, 1422, 2431, 316, 8703, 346, 8703, 272, 348, 270, 346, 13925, 333, 3686, 18511, 272, 8607, 315, 754, 9387, 10926, 7078, 476, 272, 8892, 10025, 267, 14572, 585, 519, 9314, 15580, 692, 9617, 607, 596, 941, 827, 547, 4283, 2852, 267, 596, 4362, 602, 513, 1390, 11515, 1185, 3964, 606, 2069, 3972, 2508, 585, 596, 950, 596, 941, 4535, 267, 476, 736, 1296, 3516, 269, 1261, 1500, 513, 16005, 540, 1269, 276, 267, 1822, 538, 519, 4098, 269, 1403, 519, 2698, 3666, 568, 1631, 259, 866, 267, 4097, 279, 269, 5655, 267, 1018, 3328, 31903, 2557, 540, 2132, 814, 1044, 12236, 2496, 2171, 666, 946, 519, 1739, 3830, 547, 4194, 585, 519, 7164, 1719, 2557, 1384, 259, 328, 28121, 3189, 3847, 314, 2715, 8703, 293, 13997, 309, 13925, 333, 3686, 348, 270, 346, 13925, 303, 13997, 309, 13925, 271, 3686, 348, 1422, 2431, 316, 8703, 346, 8703, 272, 348, 270, 346, 13925, 333, 3686, 18511, 272, 28121, 3189, 3847, 314, 2715, 8703, 866, 267, 4097, 279, 269, 5655, 348, 270, 346, 13925, 276, 267, 1822, 348, 1422, 2431, 316, 8703, 346, 8703, 272, 348, 270, 346, 13925, 736, 3686, 18511, 272, 284, 278, 260, 6911, 10831, 540, 5384, 11270, 338, 6726, 566, 16754, 692, 2252, 596, 917, 519, 14346, 267, 674, 309, 267, 543, 519, 1719, 2557, 596, 666, 12337, 519, 1297, 540, 942, 5712, 780, 7078, 476, 273, 8892, 10025, 267, 14572, 585, 562, 692, 1692, 1279, 786, 621, 1491, 547, 5595, 519, 2724, 693, 476, 274, 260, 1719, 2557, 286, 1280, 3236, 267, 952, 10637, 25939, 476, 274, 260, 829, 3045, 636, 267, 1287, 2698, 875, 1082, 1296, 786, 621, 1491, 585, 519, 3902, 540, 513, 533, 842, 540, 14420, 547, 5595, 689, 1269, 272, 269, 2004, 547, 259, 274, 269, 876, 888, 17961, 9387, 348, 1299, 623, 13997, 309, 13925, 271, 3686, 7807, 272, 269, 2004, 11138, 261, 293, 13997, 309, 13925, 271, 3686, 7807, 274, 11138, 261, 333, 284, 286, 11138, 261, 328, 284, 271, 269, 6734, 11138, 315, 754, 9387, 8679, 17961, 9387, 31905, 674, 13997, 309, 13925, 333, 3686, 284, 303, 13997, 309, 13925, 271, 14990, 9392, 2715, 3189, 3847, 263, 476, 272, 266, 328, 1422, 2431, 264, 8703, 333, 3686, 8607, 261, 2715, 8703, 293, 13997, 309, 13925, 333, 3686, 348, 270, 346, 13925, 303, 13997, 309, 13925, 271, 3686, 13157, 346, 3189, 3847, 263, 476, 272, 266, 328, 1422, 2431, 264, 8703, 333, 3686, 8607, 261, 562, 7807, 2765, 3189, 15238, 1422, 3847, 263, 2715, 8703, 293, 13997, 309, 13925, 333, 3686, 348, 270, 346, 13925, 303, 13997, 309, 13925, 271, 3686, 348, 1422, 2431, 264, 7346, 15238, 1422, 3847, 263, 476, 272, 266, 328, 1422, 2431, 14587, 8607, 315, 754, 9387, 348, 0, 258, 634, 3845, 1535, 4988, 676, 513, 9325, 538, 835, 21021, 5163, 9775, 692, 9223, 1384, 763, 3845, 1269, 343, 259, 4988, 676, 513, 9325, 538, 835, 21021, 5163, 9775, 609, 942, 1269, 339, 259, 607, 1269, 343, 3867, 273, 13157, 320, 512, 3867, 273, 15396, 273, 536, 512, 25239, 10608, 1403, 519, 10231, 540, 519, 9325, 5673, 593, 1269, 343, 259, 607, 1269, 343, 13064, 348, 562, 8961, 1141, 1269, 333, 259, 568, 606, 8870, 267, 519, 1871, 540, 1269, 333, 259, 568, 1693, 13090, 692, 11405, 1384, 263, 274, 264, 20028, 4399, 9507, 346, 311, 4151, 9775, 609, 942, 4399, 9507, 346, 339, 4151, 607, 1269, 343, 3867, 273, 13157, 320, 512, 3867, 273, 15396, 273, 536, 512, 25239, 6911, 7445, 23976, 476, 273, 1535, 1422, 2765, 18097, 1535, 2410, 323, 512, 13157, 273, 513, 512, 266, 273, 536, 6911, 7445, 23976, 1535, 1422, 2765, 18097, 1535, 2410, 323, 512, 13157, 320, 512, 17070, 1422, 23976, 1422, 2765, 18097, 1535, 2410, 323, 512, 18098, 2765, 18950, 320, 512, 17070, 20972, 343, 10592, 7445, 23976, 1535, 1422, 2765, 18097, 3867, 273, 348, 1535, 2410, 323, 512, 3867, 273, 3686, 10954, 3847, 7268, 2765, 18097, 1535, 2410, 323, 512, 4153, 2431, 22722, 273, 13157, 320, 6911, 7445, 23976, 1422, 2765, 18097, 3867, 273, 348, 1535, 2410, 323, 512, 3867, 273, 3686, 7807, 2765, 21151, 10559, 3847, 7268, 2765, 18097, 1535, 2410, 323, 512, 4153, 2431, 22722, 273, 12453, 343, 18098, 2765, 21151, 10559, 3847, 7268, 2765, 21151, 512, 17070, 2410, 343, 4153, 2431, 22722, 273, 12453, 343, 10592, 259, 7807, 2765, 21151, 1535, 3867, 273, 18511, 263, 320, 512, 17070, 22722, 273, 12453, 343, 3867, 274, 3686, 7807, 2765, 21151, 524, 1532, 3867, 273, 12453, 343, 3867, 274, 3686, 7445, 692, 7445, 23976, 513, 1422, 2889, 696, 334, 1535, 13064, 274, 10592, 17798, 267, 1269, 333, 284, 274, 259, 0, 11377, 14050, 3189, 573, 7346, 9507, 346, 573, 24995, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 24995, 6695, 14050, 3189, 330, 14533, 7346, 9507, 23533, 1638, 4153, 267, 6525, 6695, 14050, 3189, 9792, 7346, 9507, 346, 9792, 4153, 267, 6525, 6695, 14050, 3189, 18600, 8512, 7346, 9507, 346, 3725, 24995, 6695, 14050, 3189, 3412, 698, 2435, 8512, 7346, 9507, 346, 3412, 24995, 6695, 14050, 3189, 26855, 2163, 7346, 9507, 346, 26855, 24995, 6695, 14050, 3189, 17884, 22042, 272, 27037, 347, 1948, 272, 1422, 347, 6525, 6695, 14050, 3189, 27903, 22042, 273, 27037, 30848, 1948, 272, 267, 1948, 273, 1422, 26917, 6525, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 3686, 9681, 258, 476, 279, 269, 275, 281, 634, 5149, 5153, 9577, 692, 11377, 14050, 3189, 11355, 338, 22042, 272, 27037, 13569, 564, 2715, 1422, 27771, 5882, 1422, 337, 12915, 17369, 3019, 1575, 348, 11513, 10400, 346, 258, 272, 3686, 476, 15732, 11377, 14050, 3189, 557, 7251, 22042, 272, 27037, 13569, 564, 346, 10559, 256, 10559, 256, 315, 337, 12915, 17369, 3019, 1575, 7346, 341, 28783, 21151, 4153, 8243, 1662, 2715, 258, 272, 3686, 15732, 1103, 519, 1985, 3296, 649, 3580, 2015, 3355, 1871, 2042, 692, 259, 599, 5257, 266, 2421, 262, 266, 1097, 284, 325, 6025, 1070, 315, 15153, 586, 263, 271, 6661, 330, 318, 271, 12101, 15153, 586, 21948, 271, 6661, 330, 318, 272, 267, 6911, 3602, 3230, 320, 18079, 3230, 321, 18079, 543, 3230, 322, 2330, 616, 21635, 543, 3230, 325, 2330, 568, 4062, 3772, 6024, 269, 769, 713, 3296, 649, 3580, 1020, 5773, 585, 1210, 519, 3349, 540, 5487, 2897, 21810, 547, 1265, 5487, 2897, 21810, 540, 4062, 3772, 6024, 3252, 267, 543, 547, 1265, 519, 4062, 3772, 6024, 538, 951, 525, 540, 5487, 2897, 21810, 780, 7078, 6695, 17273, 19340, 346, 272, 15732, 8196, 519, 3349, 540, 5487, 2897, 21810, 547, 1265, 519, 5487, 2897, 2981, 540, 692, 7445, 16932, 346, 18091, 281, 279, 269, 275, 269, 272, 348, 535, 6025, 21174, 3847, 315, 3189, 8218, 15204, 2410, 743, 348, 476, 273, 339, 266, 272, 267, 261, 271, 315, 548, 512, 283, 273, 267, 11138, 314, 275, 696, 316, 274, 339, 267, 261, 339, 315, 613, 273, 1422, 754, 15204, 4153, 2431, 269, 6911, 11405, 692, 263, 8201, 1496, 29664, 281, 279, 269, 275, 269, 272, 348, 6393, 7712, 519, 4542, 585, 3230, 325, 2330, 2242, 693, 3230, 339, 284, 273, 18079, 649, 2328, 692, 315, 16932, 346, 18091, 281, 279, 269, 275, 269, 273, 348, 1422, 8218, 9387, 348, 11513, 5632, 700, 12917, 325, 264, 261, 284, 1422, 842, 318, 271, 23373, 13727, 552, 13064, 560, 348, 325, 6025, 9385, 267, 19049, 8607, 314, 275, 696, 316, 17851, 1422, 842, 318, 271, 317, 273, 552, 13064, 560, 12917, 273, 339, 266, 272, 9385, 267, 19049, 10954, 842, 318, 273, 23373, 13727, 552, 13064, 560, 12917, 274, 339, 9385, 267, 19049, 269, 1422, 754, 9387, 10926, 2414, 9305, 519, 1101, 2165, 547, 513, 5487, 2897, 2981, 267, 649, 1039, 543, 10208, 692, 7445, 842, 318, 273, 23373, 13727, 552, 13064, 560, 12917, 273, 339, 266, 272, 9385, 267, 19049, 1422, 12061, 3784, 6911, 514, 17817, 1422, 10915, 346, 18091, 281, 279, 269, 275, 269, 273, 348, 547, 3489, 692, 315, 16932, 346, 18091, 281, 279, 269, 275, 269, 274, 348, 1422, 8218, 9387, 348, 11513, 5632, 700, 12917, 325, 264, 17851, 1422, 842, 318, 271, 23373, 13727, 552, 13064, 560, 12917, 273, 339, 266, 272, 9385, 267, 19049, 266, 1422, 842, 318, 273, 23373, 13727, 552, 13064, 560, 12917, 274, 339, 268, 273, 339, 268, 272, 9385, 267, 19049, 8607, 314, 275, 696, 316, 17851, 1422, 842, 318, 271, 23373, 13727, 552, 13064, 560, 12917, 273, 339, 266, 272, 9385, 267, 19049, 266, 1422, 842, 318, 273, 23373, 13727, 552, 13064, 560, 12917, 339, 268, 272, 9385, 267, 19049, 8607, 314, 275, 696, 316, 17851, 3189, 5632, 700, 12917, 273, 339, 266, 272, 264, 1341, 1422, 842, 318, 273, 23373, 13727, 552, 13064, 560, 12917, 339, 268, 272, 264, 22773, 19049, 269, 1422, 754, 9387, 10926, 2414, 9305, 519, 2063, 7533, 547, 513, 5487, 2897, 2981, 267, 649, 1118, 519, 1689, 540, 4756, 3230, 343, 284, 339, 268, 273, 2330, 543, 27682, 519, 7533, 607, 692, 17961, 9387, 348, 1422, 842, 318, 273, 23373, 13727, 552, 13064, 560, 12917, 339, 268, 272, 9385, 267, 19049, 17851, 1422, 842, 318, 271, 23373, 13727, 552, 13064, 338, 3287, 266, 273, 264, 12917, 343, 266, 272, 9385, 267, 11459, 8607, 314, 275, 696, 316, 17851, 324, 13064, 273, 338, 4153, 842, 318, 271, 23373, 13727, 552, 13064, 338, 343, 12917, 343, 266, 272, 9385, 267, 11459, 26142, 754, 9387, 10926, 7712, 519, 3090, 1031, 585, 519, 4756, 540, 5610, 814, 1100, 1198, 593, 519, 1871, 540, 513, 17386, 7533, 267, 649, 666, 1631, 5372, 3230, 343, 2330, 676, 519, 811, 3044, 3230, 339, 2330, 543, 2328, 692, 7445, 842, 318, 273, 23373, 13727, 552, 13064, 560, 12917, 339, 268, 272, 9385, 267, 19049, 815, 324, 13064, 273, 338, 4153, 842, 318, 271, 23373, 13727, 552, 13064, 560, 12917, 339, 266, 272, 9385, 267, 19049, 284, 324, 13064, 273, 338, 7346, 5632, 700, 12917, 339, 266, 272, 1040, 6911, 1607, 543, 17817, 1422, 10915, 346, 18091, 281, 279, 269, 275, 269, 274, 348, 17538, 602, 692, 21851, 5632, 700, 12917, 325, 6661, 3189, 5632, 700, 12917, 273, 339, 266, 272, 11924, 324, 13064, 273, 338, 7346, 5632, 700, 348, 630, 339, 266, 272, 1040, 6911, 3086, 649, 666, 946, 519, 3349, 540, 5487, 2897, 21810, 547, 1265, 602, 692, 21851, 5632, 700, 12917, 325, 6661, 346, 273, 315, 1478, 521, 317, 273, 15396, 346, 272, 315, 1478, 521, 348, 1341, 324, 13064, 273, 338, 4153, 3847, 20719, 272, 315, 1478, 521, 317, 273, 15396, 346, 272, 315, 1478, 521, 4153, 2431, 1040, 6911, 2171, 3580, 1631, 1020, 519, 1505, 540, 7151, 1496, 9987, 281, 279, 269, 275, 269, 272, 348, 883, 513, 9836, 1259, 547, 1265, 519, 5487, 2897, 2981, 540, 513, 4062, 3772, 6024, 1599, 269, 898, 568, 10375, 547, 6338, 519, 1770, 1900, 1599, 267, 3989, 607, 692, 7445, 16932 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14532, 539, 527, 269, 31777, 656, 2113, 802, 327, 1389, 616, 2356, 5423, 538, 513, 5374, 7484, 267, 543, 6039, 538, 513, 7381, 4837, 609, 547, 25940, 543, 513, 12450, 269, 1306, 519, 5374, 11680, 616, 2356, 3677, 982, 519, 14296, 267, 519, 6967, 2113, 802, 327, 820, 568, 6039, 538, 519, 11544, 7484, 609, 513, 22635, 269, 11625, 3293, 616, 513, 12450, 9440, 543, 513, 10217, 21199, 267, 609, 627, 5792, 8645, 267, 20057, 956, 267, 543, 513, 2261, 553, 577, 3626, 22269, 1142, 269, 1879, 519, 2165, 2113, 802, 327, 820, 729, 1101, 1031, 538, 1820, 538, 476, 272, 269, 1717, 267, 676, 476, 272, 269, 476, 3445, 269, 1635, 519, 2038, 476, 272, 269, 476, 3445, 269, 1635, 519, 476, 272, 269, 476, 11152, 269, 476, 271, 338, 267, 2113, 802, 327, 1389, 941, 513, 2442, 4235, 693, 28915, 15945, 267, 799, 941, 519, 6093, 14614, 32446, 540, 519, 1974, 269, 634, 1686, 540, 519, 3167, 1025, 2658, 267, 4731, 1540, 5144, 10425, 267, 543, 2113, 802, 327, 1389, 616, 10562, 269, 6969, 519, 7839, 8244, 540, 3167, 11100, 619, 267, 2113, 802, 327, 820, 1826, 10425, 941, 811, 899, 4212, 333, 690, 267, 610, 789, 941, 513, 1688, 695, 2586, 7848, 540, 16760, 4672, 543, 5144, 267, 4006, 267, 543, 8137, 902, 269, 16803, 16047, 338, 4235, 3575, 619, 3459, 1373, 1031, 693, 14614, 535, 870, 1622, 538, 476, 272, 269, 24697, 623, 6955, 9155, 7288, 538, 476, 272, 269, 853, 4428, 539, 8293, 1662, 1234, 10360, 811, 269, 2060, 519, 8798, 540, 519, 1025, 2658, 267, 2113, 802, 327, 1389, 3459, 547, 1491, 741, 2413, 267, 627, 5792, 267, 7098, 730, 267, 543, 8389, 20321, 1106, 269, 634, 946, 540, 4731, 1540, 5144, 8869, 538, 2113, 802, 327, 1389, 729, 2442, 1242, 538, 519, 7330, 676, 519, 9628, 3075, 32697, 5832, 9546, 26572, 839, 269, 5689, 1540, 5144, 8869, 513, 7848, 540, 18493, 730, 5144, 267, 4731, 1540, 24061, 267, 543, 10568, 7912, 1185, 1044, 11827, 676, 5261, 9710, 5585, 538, 476, 272, 269, 1717, 267, 2635, 1004, 4166, 3459, 6704, 16098, 1500, 609, 4731, 1540, 5144, 3274, 585, 519, 6492, 267, 280, 543, 4731, 1540, 5144, 16098, 5627, 5144, 267, 10217, 21360, 267, 543, 28915, 8869, 2968, 513, 3044, 5356, 693, 14614, 535, 870, 1622, 269, 769, 476, 272, 269, 476, 10844, 269, 476, 273, 267, 9546, 26572, 839, 9441, 594, 12534, 7377, 21676, 28952, 1500, 513, 2113, 802, 327, 820, 676, 4946, 1079, 1085, 334, 3591, 540, 29877, 4672, 8645, 547, 519, 3044, 4731, 1540, 5144, 4235, 11600, 269, 901, 6221, 267, 896, 519, 2012, 9710, 997, 802, 5689, 1540, 22447, 267, 729, 12286, 676, 519, 9546, 13582, 3075, 32697, 5832, 607, 851, 540, 513, 10217, 5144, 21199, 267, 799, 3294, 2968, 1634, 607, 513, 4731, 1540, 610, 28915, 543, 2968, 835, 540, 519, 1034, 2442, 14614, 32446, 10425, 269, 634, 12957, 540, 2113, 802, 327, 1389, 2919, 538, 519, 476, 272, 269, 769, 476, 272, 269, 476, 11152, 269, 476, 277, 267, 23266, 23778, 13584, 1031, 519, 2596, 1523, 3297, 519, 1954, 517, 22799, 12747, 4672, 8645, 3684, 547, 1020, 519, 5564, 574, 1460, 518, 267, 513, 2947, 838, 785, 1194, 3575, 518, 602, 1223, 3132, 2947, 2113, 802, 327, 1389, 693, 2899, 267, 782, 8850, 267, 543, 7006, 1619, 873, 693, 519, 7485, 540, 513, 11573, 883, 32261, 1957, 11680, 269, 769, 519, 3735, 476, 272, 269, 769, 476, 272, 269, 19239, 517, 4750, 538, 15930, 7150, 602, 1280, 513, 15470, 539, 21199, 267, 1039, 513, 21686, 540, 707, 5172, 4672, 8645, 269, 769, 476, 272, 269, 32617, 7615, 5240, 538, 11882, 7150, 602, 589, 15470, 539, 20892, 267, 538, 519, 31546, 15066, 267, 568, 1945, 1434, 547, 799, 4672, 8645, 814, 1044, 3773, 269, 7151, 1612, 17284, 568, 15470, 539, 1071, 11738, 996, 520, 3905, 267, 17705, 20892, 1500, 669, 11035, 609, 4672, 543, 15470, 344, 609, 4672, 8645, 269, 1635, 519, 476, 272, 269, 476, 4817, 269, 476, 271, 338, 267, 2442, 4025, 547, 4235, 2113, 802, 327, 1389, 941, 26741, 10290, 338, 476, 276, 476, 272, 269, 1452, 24284, 1419, 30326, 10268, 513, 26124, 669, 4435, 610, 16243, 5374, 2113, 802, 327, 820, 11544, 3684, 269, 1452, 24284, 1500, 2113, 802, 327, 1389, 538, 16803, 16047, 610, 2147, 6163, 540, 4235, 3575, 619, 267, 799, 1185, 838, 785, 956, 543, 989, 527, 2209, 602, 25649, 2011, 883, 519, 10425, 585, 5347, 267, 2770, 27918, 2164, 543, 6039, 873, 538, 476, 272, 269, 0, 1015, 267, 1822, 267, 1822, 267, 1822, 267, 1822, 267, 1822, 25466, 2895, 1882, 454, 4002, 5239, 476, 1839, 267, 15628, 543, 5520, 540, 519, 5769, 25201, 4371, 513, 16008, 585, 513, 1713, 2680, 281, 519, 5769, 21287, 25295, 476, 1015, 4620, 17879, 5052, 630, 1015, 476, 1626, 25466, 1040, 8729, 547, 713, 21287, 609, 519, 5384, 10724, 267, 649, 666, 1294, 1018, 4583, 4609, 6743, 899, 1082, 1296, 3516, 267, 1265, 10710, 12215, 540, 1357, 3817, 610, 3274, 11177, 707, 3135, 689, 513, 968, 16451, 19307, 9731, 25542, 25201, 9307, 519, 3892, 540, 476, 3199, 268, 614, 17879, 974, 3732, 5439, 585, 476, 1001, 272, 547, 3025, 585, 1382, 269, 654, 2752, 290, 6119, 2270, 827, 476, 273, 269, 278, 5479, 772, 305, 3674, 269, 1358, 1331, 782, 1257, 1543, 543, 3388, 3116, 602, 729, 10710, 267, 1519, 2592, 267, 3381, 267, 8755, 267, 3092, 563, 9359, 4266, 281, 4728, 476, 6021, 267, 476, 1001, 272, 454, 17484, 4266, 281, 5412, 476, 2537, 267, 476, 1001, 272, 454, 10831, 540, 2189, 15745, 338, 281, 476, 273, 267, 24129, 267, 279, 2412, 267, 14689, 454, 10831, 540, 14747, 281, 476, 3066, 267, 271, 3953, 267, 6187, 280, 4173, 527, 3700, 454, 4944, 3187, 1101, 22434, 476, 272, 2929, 1034, 2442, 4609, 2687, 547, 5981, 320, 630, 295, 629, 337, 729, 2907, 972, 1070, 543, 1287, 4553, 519, 6402, 1547, 6271, 4277, 1249, 9307, 693, 519, 16008, 269, 1280, 519, 1101, 942, 267, 519, 3003, 5339, 6561, 540, 606, 3003, 4182, 814, 1044, 4628, 7857, 1242, 543, 23345, 547, 519, 5769, 269, 1452, 1004, 2968, 519, 7195, 4042, 1547, 634, 5769, 25201, 729, 28165, 676, 519, 19416, 10196, 543, 5752, 1361, 6048, 18496, 12928, 3578, 269, 1261, 5129, 519, 1418, 267, 6679, 519, 16008, 269, 0, 25284, 2719, 538, 7665, 9874, 454, 268, 3245, 519, 5070, 7901, 454, 16655, 9874, 568, 513, 1863, 2780, 7223, 1062, 630, 290, 3008, 264, 1759, 593, 5871, 700, 7371, 269, 769, 922, 10342, 267, 621, 568, 15991, 17071, 547, 824, 2413, 6976, 31909, 267, 971, 607, 4569, 322, 611, 267, 4223, 11490, 320, 267, 32712, 282, 666, 4163, 856, 10763, 630, 22131, 26382, 264, 9273, 267, 10230, 9273, 267, 1628, 11708, 630, 6748, 575, 20692, 7120, 1040, 898, 568, 2009, 547, 2328, 20072, 543, 1256, 14377, 873, 883, 5871, 700, 7371, 3009, 267, 4553, 676, 28094, 269, 769, 2070, 540, 519, 1249, 602, 3193, 9874, 729, 2854, 689, 2919, 676, 561, 7371, 23501, 267, 922, 16105, 949, 3100, 10169, 14845, 267, 2094, 519, 1893, 568, 5612, 1312, 16122, 543, 6198, 269, 594, 786, 2119, 547, 12172, 10502, 891, 2798, 543, 2491, 519, 9759, 540, 519, 6198, 1935, 538, 606, 3015, 1259, 267, 543, 594, 786, 711, 1445, 693, 782, 593, 1808, 6310, 3252, 281, 789, 616, 3833, 2653, 547, 4487, 10446, 563, 8170, 1576, 267, 10912, 519, 3193, 9874, 3705, 614, 689, 519, 23641, 568, 711, 1360, 10375, 269, 1284, 1616, 547, 1413, 693, 4190, 12596, 602, 616, 21235, 609, 3735, 343, 269, 4475, 267, 585, 14987, 267, 594, 1131, 18973, 596, 547, 2322, 519, 530, 343, 16655, 9874, 7387, 1547, 1403, 596, 616, 23816, 540, 1855, 311, 332, 30929, 910, 596, 666, 19022, 621, 607, 513, 7387, 630, 1729, 581, 9237, 267, 594, 723, 711, 6836, 621, 1040, 4270, 267, 585, 18798, 540, 900, 30929, 972, 568, 708, 1314, 9874, 2073, 547, 960, 538, 519, 17280, 269, 898, 568, 12777, 2322, 856, 540, 519, 4216, 563, 4263, 1101, 16145, 267, 3388, 568, 2241, 281, 649, 6338, 606, 4082, 10678, 609, 513, 12931, 20325, 267, 649, 1205, 519, 2626, 269, 1411, 666, 2119, 3193, 9874, 607, 513, 9498, 267, 5173, 519, 2040, 540, 1079, 2338, 267, 5173, 519, 20534, 540, 519, 5086, 267, 3092, 269, 1284, 2007, 4514, 1018, 568, 8345, 563, 15228, 2513, 338, 267, 2338, 267, 543, 9266, 21635, 3020, 543, 7301, 616, 519, 14724, 3615, 538, 519, 1062, 269, 2353, 824, 7215, 543, 3889, 540, 519, 1893, 616, 3710, 689, 873, 267, 4061, 789, 616, 1572, 10570, 630, 785, 643, 14548, 264, 610, 3274, 8444, 563, 763, 1062, 30193, 1063, 1863, 543, 1129, 4705, 4632, 269, 634, 8612, 4632, 616, 1644, 4632, 267, 519, 4632, 547, 799, 930, 1871, 568, 8655, 269, 1879, 16208, 267, 519, 4756, 2012, 568, 8719, 609, 922, 1871, 269, 1411, 666, 1305, 513, 4756, 1210, 519, 834, 281, 257, 1129, 269, 5131, 4632, 616, 711, 2404, 609, 1022, 1871, 543, 649, 666, 7500, 609, 873, 7493, 569, 267, 585, 1383, 267, 1039, 1079, 12572, 7215, 563, 2691, 12719, 1142, 4971, 267, 922, 12985, 2796, 568, 4646, 269, 898, 568, 513, 4015, 540, 3347, 1063, 4756, 4408, 543, 741, 2418, 267, 607, 1134, 607, 930, 7664, 6724, 269, 1703, 616, 1079, 12985, 8658, 281, 2199, 543, 2518, 269, 634, 2518, 2796, 910, 1455, 547, 782, 14648, 12981, 267, 11887, 519, 1699, 1533, 540, 519, 3705, 614, 269, 589, 2199, 2796, 568, 2813, 585, 519, 8653, 540, 519, 11056, 540, 835, 4971, 267, 543, 568, 4570, 1152, 585, 621, 269, 634, 5207, 10862, 568, 519, 4276, 543, 2199, 2796, 5468, 563, 2080, 519, 1871, 540, 519, 4756, 513, 568, 3144, 689, 519, 2518, 2796, 267, 543, 585, 519, 2199, 835, 519, 4781, 547, 11766, 1568, 568, 3964, 267, 1775, 4318, 269, 2417, 1568, 786, 711, 581, 18611, 593, 741, 1378, 563, 4131, 781, 2119, 547, 1039, 1079, 4632, 269, 1656, 1631, 2322, 538, 4395, 540, 873, 513, 2582, 10839, 3090, 269, 901, 568, 513, 17527, 9819, 11346, 269, 1403, 649, 2322, 621, 1354, 519, 4756, 2012, 910, 607, 513, 1267, 649, 1205, 519, 2012, 540, 713, 4756, 267, 1354, 519, 1599, 1289, 910, 519, 12572, 4082, 540, 519, 1599, 1289, 269, 1548, 585, 286, 6884, 596, 949, 991, 547, 946, 835, 1599, 547, 1184, 519, 4082, 540, 1776, 1599, 543, 1205, 513, 1599, 610, 1297, 607, 519, 3977, 267, 585, 1383, 267, 12719, 606, 22543, 9548, 7533, 269, 769, 824, 1913, 267, 596, 723, 519, 2702, 547, 2099, 519, 4082, 607, 1239, 543, 13861, 621, 269, 1717, 267, 952, 596, 2119, 547, 3247, 519, 9819, 540, 519, 2040, 540, 1079, 2338, 267, 1287, 519, 9273, 786, 711, 3247, 269, 901, 568, 1813, 547, 519, 1249, 602, 519, 2582, 10839, 11346, 1281, 711, 3247, 519, 14724, 5187, 2305, 540, 519, 4082, 630, 13678, 921, 4238, 593, 2338, 267, 5786, 540, 8454, 1040, 4746, 267, 519, 9273, 786, 711, 3247, 2676, 4517, 865, 267, 519, 7665, 9874, 1062, 1281, 711, 10646, 1063, 5690, 545, 3252, 543, 6310, 3252, 267, 538, 621, 789, 616, 835, 1893, 3693, 269, 769, 519, 16166, 540, 519, 3705, 614, 3294, 267, 519, 12427, 602, 666, 581, 7229, 616, 1572, 8231, 267, 1346, 12427, 602, 2611, 865, 9296, 1584, 539, 616, 1572, 10902, 269, 1677, 20006, 519, 9819, 540, 782, 10902, 267, 621, 568, 2556, 547, 1305, 519, 17205, 4781, 538, 519, 2796, 540, 9273, 563, 2171, 4121, 602, 519, 3705, 614, 30193, 1063, 519, 2035, 540, 513, 12572, 4082, 543, 922, 9819, 269, 769, 1018, 2665, 1281, 519, 9819, 1491, 1747, 286, 634, 1034, 6654, 2013, 568, 950, 649, 2119, 547, 5173, 930, 2186, 540, 4082, 630, 273, 1341, 476, 274, 267, 585, 1383, 1040, 1358, 9411, 519, 4082, 910, 3893, 922, 2495, 269, 1358, 7229, 519, 1599, 540, 519, 4661, 910, 3893, 519, 1871, 269, 9373, 519, 4756, 2012, 910, 1205, 922, 1871, 269, 1284, 4121, 602, 519, 1871, 540, 513, 4756, 666, 581, 2901, 606, 11046, 610, 513, 12572, 4082, 269, 1879, 3116, 568, 519, 9819, 286, 634, 9819, 4386, 950, 513, 4756, 568, 8655, 513, 1871, 269, 634, 1871, 547, 519, 1318, 540, 519, 3935, 568, 7229, 1354, 519, 7084, 267, 865, 950, 26471, 513, 4756, 547, 513, 12572, 4082, 267, 649, 2322, 513, 19722, 1665, 547, 3247, 713, 9819, 269, 1703, 568, 513, 2027, 2186, 540, 7084, 630, 18314, 3935, 11346, 264, 950, 10442 ]

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

[ 21826, 569, 7304, 582, 908, 9466, 667, 8705, 12028, 1923, 18395, 910, 2233, 268, 21158, 2593, 910, 4989, 476, 1724, 628, 267, 476, 1708, 272, 454, 268, 4139, 14730, 21708, 10432, 568, 4989, 476, 276, 547, 476, 1321, 910, 3047, 306, 5652, 910, 4989, 476, 1724, 628, 267, 476, 1708, 272, 454, 268, 1412, 19185, 5455, 262, 23093, 4751, 4112, 2803, 595, 32385, 10620, 781, 17583, 547, 6611, 267, 519, 15937, 13571, 1512, 910, 595, 32385, 10620, 4975, 6826, 520, 910, 4989, 476, 1724, 628, 267, 476, 1708, 272, 454, 268, 3371, 781, 875, 547, 6952, 513, 5182, 3613, 3291, 539, 4989, 7064, 547, 891, 17651, 2621, 910, 4807, 261, 24610, 910, 4989, 476, 1724, 628, 267, 476, 1708, 272, 454, 268, 7799, 15104, 18395, 11833, 281, 634, 7720, 976, 540, 18347, 910, 7799, 15104, 26064, 910, 4989, 476, 1724, 628, 267, 476, 1708, 272, 454, 268, 4139, 17651, 2319, 7866, 2592, 540, 5182, 268, 14127, 15270, 910, 23968, 5622, 16402, 338, 1636, 5177, 910, 4989, 476, 1724, 628, 267, 476, 1708, 272, 454, 268, 3245, 3595, 27750, 538, 519, 6607, 547, 513, 16356, 538, 519, 6801, 281, 519, 24666, 26274, 540, 21540, 541, 10426, 328, 910, 634, 22062, 566, 22847, 910, 4989, 476, 1724, 628, 267, 476, 1708, 272, 454, 268, 18838, 538, 519, 25578, 281, 4989, 17651, 11706, 634, 27743, 13738, 2051, 5586, 1014, 910, 27743, 13738, 2051, 5586, 1014, 910, 4728, 476, 4029, 560, 267, 476, 1708, 272, 454, 268, 8752, 5533, 689, 15408, 1412, 5099, 3463, 262, 547, 17651, 910, 634, 26851, 910, 4728, 476, 4029, 560, 267, 476, 1708, 272, 454, 268, 8330, 8527, 24397, 281, 1452, 759, 2176, 786, 723, 596, 7487, 6801, 910, 7330, 9215, 31165, 910, 4728, 476, 4029, 560, 267, 476, 1708, 272, 454, 268, 26931, 12243, 1234, 548, 1162, 3115, 549, 947, 539, 12005, 540, 26890, 559, 3026, 321, 3121, 1923, 18395, 910, 2233, 268, 21158, 2593, 910, 4728, 476, 4029, 560, 267, 476, 1708, 272, 454, 268, 13562, 12002, 1265, 519, 1412, 338, 2378, 652, 1747, 262, 547, 2661, 538, 519, 27305, 10158, 910, 22032, 7220, 2593, 910, 4728, 476, 4029, 560, 267, 476, 1708, 272, 454, 268, 962, 24746, 781, 5182, 540, 519, 6801, 15422, 1923, 5240, 267, 11846, 267, 22868, 910, 8479, 560, 1144, 966, 785, 545, 1807, 910, 4728, 476, 4029, 560, 267, 476, 1708, 272, 454, 268, 7261, 3913, 639, 2473, 268, 272, 781, 853, 15362, 5336, 817, 4563, 670, 1961, 568, 2859, 7136, 633, 982, 13562, 12002, 23539, 1923, 18395, 910, 2233, 268, 21158, 2593, 910, 5988, 476, 1839, 628, 267, 476, 1708, 272, 454, 268, 13562, 12002, 5269, 513, 1284, 2273, 20570, 281, 589, 24517, 1674, 540, 9540, 518, 4563, 670, 3421, 700, 584, 6362, 7316, 1358, 1401, 4624, 513, 17266, 7136, 633, 4563, 670, 1961, 910, 2233, 24728, 291, 2905, 910, 5988, 476, 1839, 628, 267, 476, 1708, 272, 454, 268, 1772, 972, 606, 14220, 4816, 23377, 5182, 538, 519, 1647, 540, 8111, 2617, 320, 476, 2735, 278, 288, 286, 910, 20219, 293, 312, 654, 296, 3918, 910, 5988, 476, 1839, 628, 267, 476, 1708, 272, 454, 268, 4643, 8767, 8878, 1544, 15181, 281, 19936, 9029, 547, 7747, 7442, 2684, 529, 20503, 267, 799, 786, 1178, 2763, 3047, 538, 1862, 910, 6355, 6184, 3187, 910, 5988, 476, 1839, 628, 267, 476, 1708, 272, 454, 268, 1412, 21841, 30558, 540, 18395, 262, 737, 6506, 1055, 2228, 1813, 547, 2518, 6855, 910, 6611, 2593, 910, 5130, 476, 1704, 628, 267, 476, 1708, 272, 454, 268, 13562, 12002, 3561, 519, 4473, 543, 2887, 540, 513, 10355, 4767, 24974, 7544, 910, 772, 310, 5240, 910, 5130, 476, 1704, 628, 267, 476, 1708, 272, 454, 268, 13562, 12002, 7747, 519, 2669, 540, 513, 11397, 14925, 585, 519, 1101, 942, 910, 595, 7034, 5240, 910, 5130, 476, 1704, 628, 267, 476, 1708, 272, 454, 268, 13562, 12002, 723, 14754, 513, 11397, 14925, 5884, 585, 519, 1101, 942, 910, 24282, 299, 633, 910, 5130, 476, 1704, 628, 267, 476, 1708, 272, 454, 268, 13562, 12002, 1294, 513, 670, 842, 540, 519, 3400, 13901, 23027, 17461, 547, 519, 17807, 910, 17807, 4653, 910, 5130, 476, 1704, 628, 267, 476, 1708, 272, 454, 268, 18395, 476, 1708, 272, 281, 634, 7887, 2621, 1519, 513, 2706, 7599, 16264, 24256, 910, 634, 5700, 910, 5130, 476, 1704, 628, 267, 476, 1708, 272, 454, 268, 12824, 1265, 2178, 23456, 540, 4282, 1412, 22855, 262, 540, 8904, 6329, 910, 18395, 3767, 6732, 910, 5130, 476, 1704, 628, 267, 476, 1708, 272, 454, 268, 3245, 14368, 29636, 547, 1715, 7720, 976, 281, 634, 17651, 11706, 585, 476, 1708, 272, 910, 594, 600, 2750, 6312, 538, 519, 13814, 910, 5130, 476, 1704, 628, 267, 476, 1708, 272, 454, 268, 634, 8535, 2986, 634, 25578, 281, 16319, 3245, 6611, 9752, 18395, 1677, 634, 32559, 910, 5259, 4975, 8648, 910, 5259, 30949, 307, 1307, 2593, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 13562, 12002, 1175, 4362, 519, 9510, 543, 1034, 11397, 14925, 2479, 910, 634, 8921, 5680, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 13562, 12002, 13028, 25569, 338, 540, 4400, 13305, 601, 6290, 25578, 267, 3509, 593, 4256, 10158, 4934, 540, 519, 27305, 10158, 910, 17807, 4653, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 13562, 12002, 1305, 513, 1007, 16680, 543, 4855, 519, 674, 691, 4554, 30982, 269, 4706, 8752, 570, 809, 476, 1724, 269, 275, 9291, 542, 13012, 547, 28651, 721, 910, 17807, 4653, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 7087, 7478, 558, 625, 543, 1412, 770, 549, 12258, 11102, 1143, 262, 910, 595, 6195, 28022, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 8111, 24262, 267, 14368, 29636, 543, 824, 588, 1173, 5074, 543, 17651, 7389, 538, 519, 5177, 585, 476, 1708, 272, 910, 25480, 4634, 532, 5240, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 2859, 3650, 781, 24635, 3163, 595, 12522, 547, 1445, 593, 875, 24666, 2055, 616, 12943, 910, 654, 305, 3201, 2593, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 6723, 7917, 29336, 583, 1667, 281, 13562, 27658, 23910, 543, 13562, 9593, 910, 2817, 5794, 543, 6611, 7467, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 18395, 281, 634, 29737, 4541, 281, 28800, 639, 910, 21512, 299, 4653, 910, 5130, 476, 280, 628, 267, 476, 1708, 272, 454, 268, 7502, 4575, 6801, 7866, 4909, 3601, 540, 2339, 543, 2230, 6066, 910, 772, 300, 301, 5240, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 10289, 519, 654, 1180, 619, 540, 519, 13957, 21708, 910, 8055, 5441, 6182, 322, 22620, 19835, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 13562, 12002, 3657, 3767, 9866, 612, 539, 2060, 513, 3487, 7781, 13937, 593, 19026, 910, 634, 9533, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 717, 301, 22271, 1556, 4762, 3305, 539, 607, 674, 691, 4554, 30982, 17451, 9866, 5703, 1923, 18395, 910, 2233, 268, 21158, 2593, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 13562, 12002, 700, 11229, 519, 6196, 652, 543, 4107, 5940, 656, 30982, 538, 519, 17807, 4347, 1149, 519, 15020, 21940, 776, 540, 519, 17325, 762, 17807, 910, 2233, 24728, 291, 2905, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 1452, 1007, 5100, 24985, 2832, 547, 1930, 909, 588, 1173, 5074, 543, 17651, 547, 782, 910, 2098, 291, 15187, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 634, 1655, 10516, 538, 519, 14925, 281, 606, 19936, 3391, 547, 9140, 513, 1753, 16263, 910, 634, 22062, 566, 22847, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 590, 5979, 534, 5619, 3947, 23171, 19936, 606, 3750, 538, 519, 6607, 910, 23171, 5240, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 898, 781, 4013, 256, 13562, 12002, 6166, 717, 301, 22271, 1556, 568, 519, 1034, 11397, 14925, 2479, 2938, 910, 20219, 293, 312, 654, 296, 3918, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 634, 5182, 12440, 602, 7012, 1405, 281, 1215, 1705, 631, 10463, 18174, 5481, 540, 19936, 286, 910, 20219, 293, 312, 654, 296, 3918, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 12207, 4278, 2683, 609, 20503, 14951, 8120, 676, 5545, 14361, 910, 18395, 3767, 6732, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 3624, 568, 6679, 519, 1158, 781, 4102, 5925, 16263, 909, 547, 3486, 3744, 910, 6611, 2593, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 13562, 12002, 6027, 519, 3845, 547, 606, 3504, 14925, 910, 15306, 4112, 528, 626, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 7353, 20802, 543, 17651, 18798, 14376, 547, 3914, 585, 519, 6801, 910, 634, 9721, 8648, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 13562, 12002, 14236, 2436, 5925, 11237, 689, 15231, 5182, 568, 6169, 540, 9813, 1272, 910, 6115, 1401, 3133, 518, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 570, 8577, 2598, 1723, 951, 5565, 9540, 543, 24953, 1401, 26979, 1115, 1923, 18395, 910, 2233, 268, 21158, 2593, 910, 5412, 476, 866, 628, 267, 476, 1708, 271, 454, 268, 13562, 12002, 3605, 32584, 21386, 689, 897, 1601, 531, 16411, 910, 4639, 16127, 4653, 910, 5437, 476, 736, 628, 267, 476, 1708, 271, 454, 268, 25265, 7728, 14473, 281, 1452, 19936, 723, 513, 1007, 1259, 547, 1265, 11397, 10785, 1519, 930, 899, 3047, 910, 6820, 5240, 910, 5437, 476, 736, 628, 267, 476, 1708, 271, 454, 268, 19663, 909, 3728, 538, 519, 1360, 2038, 7122, 18395, 3767, 910, 18395, 3767, 6732, 910, 5239, 476, 3066, 628, 267, 476, 1708, 271, 454, 268, 8331, 781, 10760, 14298, 293, 8656, 16263, 25495, 1216, 538, 519, 9855, 781, 3037, 910, 18395, 18225, 910, 5239, 476, 3066, 628, 267, 476, 1708, 271, 454, 268, 13562, 12002, 1265, 1007, 1259, 547, 6968, 519, 21792, 14136, 476, 280, 910, 14970, 3163, 910, 5239, 476, 3066, 628, 267, 476, 1708, 271, 454, 268, 589, 476, 275, 294, 3060, 593, 519, 9855, 568, 3983, 3377, 585, 5925, 17651, 910, 634, 22062, 566, 5177, 910, 5239, 476, 3066, 628, 267, 476, 1708, 271, 454, 268, 3047, 781, 7887, 24985, 556, 13449, 1310, 3275, 540, 5046, 5008, 999, 910, 18395, 18225, 910, 5239, 476, 3066, 628, 267, 476, 1708, 271, 454, 268, 476, 276, 2081, 3885, 666, 2972, 17651, 1282, 519, 6855, 910, 6611, 2593, 910, 5239, 476, 3066, 628, 267, 476, 1708, 271, 454, 268, 23171, 19936, 8495, 519, 7872, 540, 4773, 540, 19026, 593, 519, 7599, 910, 23171, 11545, 5240, 910, 5239, 476, 3066, 628, 267, 476, 1708, 271, 454, 268, 13562, 12002, 4855, 519, 4591, 869, 539, 268, 11073, 26425, 540, 513, 667, 17768, 30982, 602, 7502, 3660, 2060, 519, 27305, 10158, 9291, 687, 540, 13012, 589, 2998, 910, 17807, 4653, 910, 5239, 476, 3066, 628, 267, 476, 1708, 271, 0, 24961, 540, 5245, 282, 11872, 593, 20334, 282, 7033, 5202, 282, 4985, 6742, 2106, 10370, 976, 1299, 623, 10154, 21651, 282, 476, 272, 634, 6370, 26753, 540, 16971, 1686, 17555, 670, 2801, 321, 747, 282, 476, 273, 24296, 9116, 1782, 3936, 1512, 2486, 623, 10154, 21651, 282, 476, 274, 634, 2070, 689, 519, 5087, 3204, 2088, 717, 534, 614, 282, 476, 275, 5245, 781, 7489, 20304, 6424, 21701, 282, 476, 276, 634, 2070, 689, 519, 7178, 24898, 16737, 282, 476, 277, 26790, 1686, 9697, 337, 542, 320, 26744, 282, 476, 278, 29062, 540, 5245, 9400, 6519, 282, 476, 279, 26880, 543, 2112, 9253, 534, 773, 11534, 523, 515, 597, 1676, 1299, 23745, 2480, 919, 282, 476, 280, 634, 1455, 6125, 286, 8241, 15114, 1325, 2581, 26652, 282, 476, 1015, 20079, 267, 1016, 31755, 267, 2950, 1530, 600, 639, 744, 262, 295, 534, 542, 563, 24938, 2106, 10370, 976, 729, 4535, 538, 5507, 543, 1631, 2729, 538, 17638, 267, 1141, 646, 568, 7905, 540, 3778, 543, 3864, 5525, 693, 519, 2160, 540, 1715, 3162, 12986, 269, 1261, 814, 3370, 2835, 543, 4930, 538, 1312, 3943, 12316, 1686, 267, 543, 538, 519, 1686, 540, 519, 1433, 269, 10765, 1568, 1644, 547, 519, 1686, 540, 2542, 543, 1603, 1331, 22419, 543, 5980, 538, 715, 842, 564, 7570, 31588, 1722, 5333, 630, 1220, 272, 1040 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13349, 30947, 320, 5516, 27190, 1389, 547, 3680, 454, 8601, 741, 6043, 267, 30947, 320, 2371, 666, 7985, 689, 1978, 1416, 9073, 267, 4611, 538, 1016, 9953, 2711, 2208, 543, 2949, 1072, 269, 1677, 2327, 519, 1134, 5630, 540, 707, 30947, 320, 267, 621, 568, 1898, 547, 581, 3222, 540, 543, 2057, 891, 1455, 25354, 563, 7021, 22476, 543, 7201, 22476, 30947, 320, 454, 19187, 14450, 568, 2629, 585, 30947, 320, 2371, 267, 607, 1312, 936, 22476, 543, 14015, 532, 666, 723, 8801, 2360, 269, 3683, 22476, 666, 1291, 547, 3597, 4232, 267, 1247, 14015, 532, 666, 2014, 18024, 543, 25224, 539, 2208, 563, 288, 574, 585, 513, 3666, 602, 2636, 519, 3037, 547, 3819, 5594, 1063, 1216, 902, 950, 14450, 707, 30947, 320, 269, 901, 11151, 519, 5072, 689, 9361, 538, 15459, 3037, 1247, 4180, 789, 4309, 7850, 7509, 563, 1103, 14363, 8752, 17148, 585, 30947, 320, 454, 12507, 3122, 320, 2371, 8853, 538, 6505, 267, 9940, 1769, 269, 1773, 5217, 873, 538, 1463, 7943, 666, 1085, 25403, 741, 3762, 267, 1247, 1970, 1769, 2175, 666, 15641, 324, 2208, 543, 1267, 538, 682, 1375, 344, 267, 4617, 11710, 563, 18893, 2711, 13307, 585, 707, 30947, 320, 2882, 513, 1906, 3952, 2476, 689, 513, 6505, 6885, 610, 1210, 22406, 1225, 13935, 547, 6882, 519, 8515, 540, 1463, 7943, 269, 17115, 8524, 707, 2030, 779, 16714, 585, 4191, 540, 1769, 2566, 543, 4188, 922, 4087, 9935, 563, 1103, 3932, 267, 1697, 1416, 543, 3007, 616, 1883, 547, 4509, 519, 1072, 543, 21755, 540, 707, 30947, 320, 2371, 269, 4197, 741, 2189, 4162, 267, 17306, 3037, 5888, 267, 543, 1818, 5483, 3664, 3823, 5214, 21187, 267, 971, 607, 6995, 12406, 267, 666, 3648, 3565, 547, 741, 2208, 543, 2949, 1134, 5630, 269, 1635, 9319, 1455, 1416, 9073, 543, 5464, 741, 1769, 543, 1216, 4170, 267, 596, 666, 1711, 606, 1604, 538, 799, 707, 30947, 320, 29263, 543, 5170, 547, 10508, 609, 922, 10875, 16714, 269, 0, 8702, 267, 1855, 1188, 7224, 24153, 454, 15916, 1855, 1188, 7224, 24153, 267, 9684, 596, 585, 7446, 547, 1224, 938, 2376, 593, 875, 547, 1118, 513, 3375, 269, 769, 713, 3728, 19550, 1158, 267, 649, 616, 7683, 5185, 609, 1585, 5079, 543, 3664, 602, 649, 991, 547, 1118, 269, 10435, 519, 1318, 3375, 568, 2629, 607, 621, 666, 7494, 1764, 938, 2729, 267, 3347, 267, 543, 11678, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1184, 540, 3375, 6194, 543, 1683, 596, 609, 3407, 4030, 547, 948, 596, 1118, 5483, 5079, 563, 272, 269, 4197, 519, 2956, 540, 3375, 6194, 912, 21430, 3664, 568, 606, 7915, 851, 540, 1272, 267, 543, 621, 4249, 513, 1713, 1909, 538, 5935, 938, 2104, 269, 6787, 621, 779, 14045, 593, 513, 4876, 2619, 267, 7446, 513, 1272, 7649, 267, 610, 1818, 1507, 4948, 5079, 267, 519, 3664, 649, 1118, 666, 723, 1279, 18835, 4539, 269, 4197, 519, 2956, 540, 3375, 6194, 568, 519, 1101, 1900, 2509, 4742, 606, 2500, 3375, 2173, 6033, 563, 273, 269, 634, 3375, 6194, 1184, 912, 763, 3375, 6194, 1184, 5161, 540, 1896, 5933, 267, 1519, 7114, 519, 1966, 267, 11018, 1344, 267, 10442, 3681, 267, 1818, 513, 3903, 267, 543, 6368, 267, 7598, 543, 17265, 519, 3375, 269, 3962, 3942, 3340, 6297, 7156, 543, 2079, 547, 2327, 602, 519, 1655, 2009, 3375, 568, 1500, 563, 274, 269, 11790, 7133, 3375, 6194, 912, 2467, 616, 1585, 2188, 602, 666, 3310, 938, 3375, 6194, 1184, 269, 1452, 1331, 2123, 2418, 267, 4978, 267, 4664, 267, 5007, 12503, 267, 543, 5042, 12886, 269, 898, 568, 1898, 547, 581, 3222, 540, 891, 2188, 543, 11441, 547, 1118, 7787, 3664, 602, 5447, 609, 938, 2418, 543, 3853, 563, 275, 269, 634, 1909, 540, 20932, 538, 3375, 6194, 912, 4504, 340, 819, 568, 606, 1271, 2460, 540, 3375, 6194, 269, 898, 568, 519, 2702, 547, 1118, 2656, 3664, 1759, 593, 938, 26756, 543, 8937, 4606, 269, 2755, 20932, 666, 581, 3407, 267, 621, 568, 1898, 547, 3666, 621, 609, 9266, 7744, 543, 23610, 1344, 547, 1118, 5483, 3664, 563, 276, 269, 634, 1764, 540, 2250, 2833, 593, 3375, 6194, 912, 5978, 2250, 2833, 1404, 513, 1713, 1909, 538, 5935, 938, 3375, 6194, 5759, 269, 15474, 2833, 666, 2285, 721, 519, 6015, 547, 1118, 2147, 3664, 538, 519, 2104, 267, 1247, 2942, 2833, 666, 1118, 721, 811, 18762, 543, 11688, 26938, 269, 14484, 532, 593, 2250, 3664, 543, 1565, 689, 873, 666, 948, 721, 1118, 1732, 5079, 538, 519, 2104, 563, 277, 269, 634, 2956, 540, 6236, 8925, 912, 2691, 1818, 513, 3375, 267, 621, 568, 2629, 547, 2015, 543, 6218, 1114, 8925, 269, 10289, 2789, 3681, 2636, 721, 547, 9260, 519, 5294, 543, 931, 267, 2015, 1114, 5380, 267, 543, 1118, 606, 5483, 3903, 269, 3680, 532, 7522, 16490, 1145, 543, 1373, 1930, 547, 8925, 666, 1291, 547, 1732, 3375, 6194, 563, 278, 269, 634, 1909, 540, 3375, 6194, 538, 2123, 2208, 912, 9336, 3375, 649, 1118, 814, 519, 1761, 547, 3565, 547, 938, 2123, 2208, 543, 1646, 269, 4804, 689, 938, 3664, 267, 1312, 18454, 543, 14286, 267, 2337, 721, 2744, 4030, 267, 1628, 6043, 267, 543, 1020, 2500, 3375, 6194, 1983, 269, 16871, 3375, 6194, 607, 513, 1565, 1184, 666, 1291, 547, 6024, 1582, 21553, 2889, 22777, 563, 11390, 548, 6798, 7315, 15854, 918, 2131, 584, 22462, 1215, 547, 5269, 513, 17423, 454, 268, 6490, 2426, 330, 1074, 534, 6539, 320, 544, 1263, 3711, 559, 1183, 1584, 639, 534, 21583, 751, 6312, 15854, 678, 553, 1308, 563, 268, 16588, 1731, 534, 6539, 320, 737, 2632, 1503, 693, 553, 554, 573, 1575, 15854, 11792, 320, 1244, 534, 6539, 320, 563, 268, 631, 3188, 3387, 836, 16988, 737, 2678, 2086, 559, 534, 533, 1263, 3711, 559, 534, 1183, 1584, 639, 534, 21583, 552, 325, 2131, 339, 604, 563, 268, 6490, 2426, 330, 1074, 534, 6539, 320, 1517, 1690, 541, 546, 926, 533, 1263, 15401, 534, 15854, 512, 3518, 7795, 3813, 4673, 533, 1026, 14508, 563, 268, 6490, 704, 31343, 520, 1183, 332, 2086, 10224, 10874, 335, 1731, 597, 737, 8539, 15854, 1387, 529, 529, 563, 268, 631, 1263, 584, 30231, 588, 637, 15854, 1183, 6883, 684, 1146, 563, 268, 6490, 6545, 574, 1779, 534, 10652, 340, 836, 15854, 1494, 839, 328, 21583, 740, 320, 563, 268, 6490, 518, 1663, 16988, 530, 752, 14654, 15854, 10069, 328, 21583, 536, 1415, 752, 2150, 4157, 1509, 13630, 12494, 836, 16988, 522, 27923, 15854, 1217, 14515, 563, 268, 570, 573, 752, 13276, 2728, 740, 320, 1183, 335, 770, 1014, 546, 15401, 533, 1263, 3711, 559, 534, 1183, 1584, 639, 534, 563, 268, 631, 2426, 7219, 740, 320, 751, 16988, 534, 552, 330, 560, 1716, 531, 21583, 1509, 335, 1263, 541, 340, 6062, 1183, 1584, 639, 534, 6539, 320, 563, 268, 645, 13453, 2367, 6614, 321, 629, 16988, 678, 14505, 4050, 13433, 23750, 795, 11986, 1183, 1584, 639, 534, 22619, 752, 10874, 13757, 559, 563, 268, 6490, 2426, 330, 1074, 534, 740, 1415, 320, 737, 525, 531, 25301, 693, 879, 1183, 326, 698, 23750, 546, 15401, 533, 1263, 3711, 559, 534, 1183, 1584, 639, 534, 563, 268, 4498, 639, 2367, 724, 611, 777, 328, 737, 2945, 31343, 839, 328, 546, 926, 1183, 1584, 639, 534, 21583, 1019, 3711, 559, 563, 268, 570, 573, 752, 5033, 7699, 1183, 1584, 639, 534, 546, 777, 520, 1509, 340, 2532, 534, 5033, 7699, 610, 836, 1768, 12221, 520, 563, 19522, 585, 10435, 14568, 5463, 2888, 454, 272, 269, 16294, 707, 3804, 281, 22682, 5581, 1018, 596, 1616, 547, 3035, 610, 519, 1966, 596, 1616, 547, 4194, 563, 273, 269, 20283, 1344, 281, 11814, 782, 4143, 1344, 543, 5013, 1644, 547, 519, 3375, 563, 274, 269, 21414, 519, 3681, 281, 6333, 519, 5294, 543, 931, 540, 1142, 4781, 543, 5659, 741, 1761, 4093, 563, 275, 269, 11565, 707, 26756, 281, 19415, 547, 707, 8937, 4606, 543, 20932, 1247, 1818, 3664, 563, 276, 269, 16418, 5796, 281, 13693, 609, 11967, 2043, 610, 3343, 4274, 8369, 547, 2744, 1114, 5380, 563, 277, 269, 6333, 519, 1279, 3856, 1764, 281, 6056, 827, 519, 1279, 3856, 4539, 540, 707, 3375, 563, 278, 269, 6875, 7229, 4220, 281, 6884, 267, 2921, 7229, 4220, 666, 1291, 547, 1007, 3255, 543, 2208, 563, 11902, 17988, 827, 1215, 547, 5269, 513, 17423, 454, 272, 269, 1548, 1058, 594, 798, 952, 594, 666, 1406, 1118, 513, 3375, 888, 2252, 596, 616, 10010, 547, 1118, 513, 3375, 267, 1491, 513, 1900, 1394, 543, 5659, 519, 3510, 1843, 1947, 269, 6333, 519, 2139, 3681, 267, 741, 1761, 4093, 267, 543, 5077, 609, 11967, 2043, 585, 5796, 563, 273, 269, 1215, 666, 594, 7753, 3375, 6194, 4160, 888, 13356, 1707, 6194, 4160, 568, 1455, 267, 855, 972, 616, 2081, 547, 7753, 621, 269, 16505, 519, 3375, 1524, 883, 4130, 3268, 267, 5531, 782, 519, 2556, 1344, 267, 543, 1445, 593, 519, 2318, 4093, 540, 1818, 513, 3375, 563, 274, 269, 1548, 1909, 1281, 20932, 1404, 538, 3375, 6194, 888, 4504, 340, 819, 666, 1683, 3407, 4030, 543, 3391, 721, 2509, 519, 1318, 3375, 269, 1717, 267, 621, 1058, 581, 7059, 609, 9266, 7744, 543, 23610, 1344, 547, 2327, 5483, 5079, 563, 275, 269, 1215, 798, 4664, 1860, 3375, 6194, 888, 10387, 19600, 666, 3310, 3375, 6194, 676, 804, 537, 3429, 10385, 543, 3056, 547, 21678, 5079, 269, 898, 568, 1271, 547, 11760, 543, 4383, 4664, 1247, 1818, 3664, 547, 2327, 7787, 640, 563, 276, 269, 1772, 621, 1732, 547, 1118, 3664, 4805, 610, 4125, 1866, 888, 763, 3375, 547, 4125, 1866, 610, 1118, 513, 3375, 4805, 5673, 593, 519, 3510, 269, 769, 930, 2665, 267, 5275, 5796, 543, 5473, 1866, 666, 1683, 3407, 5380, 267, 1247, 538, 824, 7653, 267, 2123, 10385, 949, 581, 811, 3617, 563, 277, 269, 1215, 798, 594, 4225, 1250, 3664, 888, 26212, 527, 1944, 3664, 3322, 6236, 519, 23473, 267, 2956, 267, 543, 1761, 1764, 540, 1142, 3903, 269, 10576, 519, 1034, 2565, 3664, 543, 21138, 942, 543, 2200, 9935, 563, 278, 269, 1548, 1058, 594, 798, 952, 594, 26845, 513, 3375, 594, 1500, 888, 2252, 596, 26845, 513, 3375, 596, 1500, 267, 2992, 593, 519, 4128, 3297, 707, 26845, 543, 519, 4245, 596, 666, 1451, 689, 621, 269, 2422, 713, 1995, 547, 1118, 1732, 3664, 538, 519, 2104, 543, 2057, 23029, 593, 519, 2250, 563, 1103, 3932, 267, 519, 2702, 547, 1118, 5483, 3664, 568, 513, 3407, 5578, 602, 666, 7494, 1764, 938, 2729, 269, 1635, 1620, 519, 2956, 540, 3375, 6194, 267, 1739, 513, 11295, 3375, 6194, 1184, 267, 6236, 8925, 267, 543, 13326, 20932, 543, 7954, 267, 649, 666, 3986, 938, 3375, 6194, 5759, 269, 5457, 267, 1169, 3375, 649, 1118, 814, 519, 1761, 547, 3337, 938, 2104, 267, 865, 11441, 547, 1118, 5079, 602, 5447, 609, 707, 2418, 543, 3853, 563, 2171, 4126, 713, 2376, 814, 3177, 596, 609, 3407, 4030, 543, 5583, 593, 875, 547, 1118, 513, 3375, 269, 3399, 7311, 891, 3741, 538, 707, 3375, 6194, 1184, 543, 7198, 519, 2318, 1764, 621, 666, 723, 593, 707, 1272, 269, 5213, 1406, 19292, 267, 1376, 1818, 5483, 3664, 2221, 2336, 272, 269, 634, 1344, 3177, 538, 713, 2376, 568, 585, 2489, 21141, 5301, 1152, 543, 1058, 711, 581, 2808, 607, 3318, 5796, 563, 273, 269, 634, 3375, 6194, 1184, 949, 4268, 1759, 593, 1367, 6381, 267, 543, 621, 568, 1898, 547, 2015, 519, 1808, 2796, 540, 1142, 3375, 563, 274, 269, 634, 4093, 540, 3664, 949, 4268, 543, 616, 1641, 547, 5007, 2188, 3564, 938, 1852, 563, 275, 269, 898, 568, 5227, 547, 5077, 609, 4143, 4966, 610, 4648, 585, 1808, 3375, 6194, 4170, 563, 14188, 596, 585, 2542, 713, 2376, 269, 1284, 4126, 596, 1336, 621, 13181, 543, 5363, 269, 6153, 9939, 609, 707, 3375, 6194, 3460, 256, 0, 20756, 267, 16921, 269, 1924, 538, 707, 5163, 2042, 267, 596, 2196, 2066, 713, 8360, 3432, 532, 909, 610, 2469, 5488, 267, 543, 596, 1522, 1491, 602, 547, 1611, 602, 707, 10231, 568, 2318, 269, 1809, 581, 6297, 267, 1317, 713, 568, 711, 2141, 1611, 713, 269, 4841, 1205, 713, 2468, 5529, 909, 782, 519, 942, 269, 1924, 538, 713, 3381, 267, 594, 6415, 27613, 1397, 596, 875, 519, 10231, 267, 1129, 2360, 267, 6991, 543, 3432, 269, 594, 6415, 27613, 1397, 596, 2731, 267, 2731, 2241, 1259, 547, 1589, 827, 713, 269, 2913, 781, 2638, 621, 856, 269, 1924, 16921, 267, 1586, 2318, 10231, 1281, 711, 1611, 3432 ]

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

[ 1421, 538, 2665, 540, 2022, 32034, 2566, 4713, 264, 616, 849, 6594, 543, 1256, 519, 7872, 540, 3395, 2713, 538, 20117, 2634, 3889, 543, 1210, 873, 607, 5007, 1949, 267, 5532, 7658, 5471, 29182, 543, 1979, 1673, 3925, 958, 547, 519, 3461, 779, 2634, 267, 568, 8268, 589, 1016, 7615, 540, 4119, 290, 690, 568, 519, 1353, 540, 519, 2078, 1063, 2596, 10512, 2829, 540, 519, 2634, 267, 971, 607, 3207, 267, 607, 1134, 607, 540, 3232, 2238, 971, 607, 7544, 610, 6947, 547, 2575, 543, 741, 1764, 593, 11160, 13586, 5042, 7207, 269, 634, 4119, 290, 690, 1382, 2361, 814, 2484, 23568, 5683, 543, 10952, 6286, 269, 1548, 616, 519, 3741, 602, 1058, 3391, 721, 950, 1210, 5061, 543, 824, 2409, 585, 28472, 519, 7210, 2634, 543, 585, 7393, 17133, 538, 3339, 12058, 286, 769, 519, 2063, 1906, 1296, 972, 814, 1044, 513, 3395, 7521, 538, 519, 3621, 543, 6915, 25677, 2146, 827, 891, 2152, 269, 634, 1857, 267, 3744, 543, 6608, 723, 3323, 547, 1865, 519, 1514, 267, 5683, 543, 3609, 6286, 540, 5042, 10276, 327, 3496, 2409, 563, 763, 2104, 540, 1480, 17133, 269, 3848, 476, 277, 12651, 606, 4277, 2243, 1107, 616, 649, 782, 1761, 21184, 525, 286, 1684, 649, 782, 723, 3592, 19957, 7207, 602, 616, 968, 10767, 1221, 892, 538, 938, 27090, 5121, 543, 602, 616, 1152, 3006, 6829, 538, 2189, 2043, 267, 581, 621, 1390, 21184, 525, 630, 3697, 18160, 610, 20266, 27591, 264, 610, 26144, 5260, 1218, 286, 1656, 952, 713, 568, 8197, 519, 2013, 267, 1287, 875, 1522, 649, 3927, 1569, 713, 12617, 1761, 286, 2107, 1058, 649, 286, 1284, 798, 865, 7683, 950, 1565, 513, 1007, 5578, 267, 950, 29412, 547, 1491, 1007, 11507, 543, 4952, 519, 2943, 7164, 269, 1809, 593, 1283, 540, 713, 5571, 6923, 9687, 5042, 12588, 267, 799, 649, 1780, 689, 835, 547, 519, 824, 3842, 1344, 4066, 267, 649, 723, 9411, 519, 2085, 1141, 649, 666, 2253, 547, 32433, 17133, 676, 2047, 2625, 532, 519, 2634, 609, 2413, 4066, 267, 1312, 5691, 543, 2168, 269, 1284, 1058, 946, 891, 1007, 7207, 1360, 5402, 267, 607, 789, 1223, 5732, 1689, 519, 9759, 540, 945, 649, 616, 563, 1432, 568, 2312, 568, 602, 649, 616, 2907, 538, 519, 4119, 290, 690, 5736, 267, 1141, 1463, 12879, 540, 519, 2634, 779, 2534, 666, 32433, 1480, 17133, 269, 634, 1433, 4119, 13586, 595, 10744, 267, 12995, 676, 16740, 534, 1530, 613, 341, 543, 8361, 4460, 1090, 267, 568, 519, 1101, 5758, 540, 713, 6909, 1007, 3184, 538, 1480, 1686, 563, 763, 1433, 3357, 547, 1272, 1739, 519, 1390, 1719, 6383, 676, 513, 2027, 3390, 593, 519, 1482, 1888, 3370, 538, 519, 4760, 13571, 4536, 538, 29249, 563, 306, 29022, 29918, 1637, 585, 4119, 13586, 32185, 267, 32190, 574, 19318, 10263, 543, 595, 10744, 454, 15463, 3386, 2934, 9687, 1282, 4720, 531, 942, 21269, 616, 540, 10700, 5413, 585, 6668, 543, 616, 1510, 9868, 1785, 12147, 6378, 269, 1677, 11883, 6707, 609, 519, 5571, 2242, 540, 2825, 2175, 9648, 1282, 519, 14438, 540, 2043, 267, 3606, 6127, 267, 3850, 4028, 543, 2500, 14624, 602, 616, 711, 9138, 676, 4719, 10148, 267, 616, 2838, 563, 11693, 891, 6654, 2115, 585, 5068, 14624, 267, 621, 5526, 1152, 2067, 602, 2634, 29010, 540, 1585, 3029, 14687, 547, 513, 2489, 543, 24819, 4183, 1459, 538, 782, 10444, 543, 5179, 23857, 269, 769, 713, 2796, 267, 621, 568, 9670, 602, 519, 10206, 540, 2937, 5778, 27415, 640, 814, 711, 3964, 3294, 19692, 982, 519, 3735, 5216, 625, 540, 519, 2063, 2540, 269, 6969, 602, 267, 519, 23798, 2146, 22885, 2937, 12058, 607, 1373, 1875, 13807, 2880, 563, 19617, 2730, 2090, 936, 519, 2063, 5756, 723, 3254, 602, 8226, 267, 2623, 543, 17133, 616, 711, 3586, 267, 855, 16271, 547, 32032, 12381, 2429, 513, 14438, 269, 11683, 21876, 1331, 1646, 543, 10172, 607, 1134, 607, 19260, 1739, 5945, 5829, 2634, 556, 32360, 269, 4033, 2959, 22212, 2623, 22132, 689, 10148, 16109, 896, 2175, 540, 4948, 5158, 267, 552, 3052, 1421, 1880, 885, 540, 13567, 1519, 1272, 16654, 543, 12675, 14501, 540, 5230, 16131, 540, 10444, 14242, 607, 12013, 3320, 1459, 538, 9420, 4858, 4068, 3988, 610, 12372, 269, 898, 1058, 581, 15091, 602, 267, 538, 19220, 540, 519, 8101, 2179, 540, 5068, 19206, 267, 1949, 1590, 4865, 513, 6190, 13598, 6617, 547, 15549, 5150, 4393, 269, 1230, 576, 643, 2406, 267, 972, 568, 513, 4123, 11325, 1063, 1110, 604, 6636, 543, 6617, 563, 763, 4154, 3044, 547, 3035, 1164, 7400, 1983, 568, 547, 10929, 1279, 5712, 540, 2866, 269, 1280, 1383, 267, 621, 3217, 1896, 9937, 540, 5215, 540, 3108, 540, 7920, 2259, 547, 1020, 7574, 1983, 3335, 4767, 538, 3318, 12372, 269, 5381, 2338, 849, 3180, 585, 824, 4274, 12644, 538, 585, 3236, 5026, 269, 634, 2487, 1646, 540, 1875, 29554, 9196, 2553, 814, 1500, 621, 2009, 547, 5659, 519, 1764, 540, 2866, 543, 2259, 849, 538, 3425, 269, 1452, 13753, 723, 3177, 11566, 2963, 602, 3573, 946, 543, 2259, 1267, 538, 8101, 2242, 540, 2404, 9729, 673, 11269, 3976, 30260, 3105, 1239, 689, 3662, 2090, 269, 1306, 513, 1267, 267, 513, 1804, 2146, 538, 23798, 1631, 9388, 609, 2634, 2242, 859, 12097, 676, 2866, 543, 2259, 547, 3313, 3601, 543, 6127, 540, 5778, 27415, 640, 563, 8340, 902, 689, 971, 2090, 17538, 602, 3592, 1169, 2009, 2962, 270, 21232, 566, 270, 10177, 1456, 5540, 2634, 3919, 269, 1306, 513, 12343, 267, 12058, 1590, 581, 9833, 607, 29858, 9738, 2429, 1272, 269, 769, 513, 1259, 267, 713, 2306, 12058, 2147, 547, 6091, 281, 1454, 6165, 3123, 873, 547, 4228, 267, 1247, 4057, 946, 2306, 873, 16756, 269, 634, 1007, 5048, 568, 602, 713, 711, 1152, 6585, 585, 519, 11095, 1974, 267, 610, 585, 6198, 2242, 538, 4079, 267, 855, 849, 585, 7293, 2242, 1282, 15296, 269, 1924, 267, 4376, 835, 1281, 3762, 513, 10250, 538, 519, 2634, 269, 634, 4158, 2427, 540, 602, 568, 602, 849, 3388, 835, 1281, 711, 798, 3762, 15244, 267, 799, 10522, 602, 519, 11601, 540, 1983, 543, 7207, 666, 15991, 581, 9738, 1510, 2259, 269, 1703, 568, 1100, 16171, 540, 1983, 267, 1317, 519, 2634, 12227, 5817, 873, 786, 14016, 622, 952, 711, 3742, 267, 799, 814, 513, 1297, 540, 4049, 6286, 3226, 2629, 538, 519, 2361, 540, 10172, 563, 2690, 1896, 1296, 267, 513, 1007, 543, 4241, 9015, 814, 7960, 267, 1141, 5778, 27023, 1235, 1631, 6707, 1118, 946, 540, 5778, 27415, 640, 3741, 547, 16578, 1018, 666, 581, 1572, 6098, 2634, 29010, 269, 901, 568, 2944, 676, 1797, 540, 10873, 602, 798, 711, 7048, 593, 519, 6671, 14842, 540, 946, 267, 2866, 543, 2259, 269, 5502, 267, 676, 13389, 3989, 2634, 2127, 267, 2901, 998, 10444, 14242, 267, 610, 998, 1463, 14242, 540, 519, 2634, 630, 2421, 1797, 540, 10489, 31424, 6419, 14242, 1070, 1565, 3157, 666, 581, 13251, 269, 2755, 267, 693, 1101, 16145, 267, 971, 4485, 1058, 711, 960, 693, 782, 267, 972, 568, 1631, 2963, 540, 606, 3592, 5863, 12117, 267, 1519, 9283, 540, 2241, 5179, 543, 829, 24632, 4247, 267, 855, 849, 1454, 811, 5042, 569, 14053, 5759, 563, 1607, 3184, 786, 1683, 513, 2689, 540, 2487, 960, 1141, 1480, 2623, 543, 8226, 814, 1044, 9168, 998, 6071, 4598, 267, 1775, 4318, 1421, 10444, 14242, 10873, 6220, 28138, 10873, 1031, 547, 7369, 5348, 25443, 6771, 543, 12117, 269, 769, 1840, 267, 649, 786, 13713, 17412, 4244, 8942, 1759, 593, 10444, 14242, 609, 519, 3804, 547, 2087, 1480, 3252, 563, 25821, 31882, 3598, 14242, 454, 290, 5255, 3598, 14382, 12330, 723, 1044, 1031, 585, 1082, 1296, 547, 11177, 3280, 8226, 538, 2550, 609, 7096, 9300, 710, 1116, 18555, 1145, 269, 1635, 30788, 18398, 17974, 8229, 11103, 267, 519, 3844, 17391, 1062, 666, 581, 18928, 15181, 547, 2226, 519, 4390, 585, 6217, 269, 589, 1101, 2272, 540, 713, 1935, 666, 581, 14360, 1394, 5176, 3368, 513, 2540, 269, 1879, 9001, 519, 2565, 1974, 585, 4633, 11601, 267, 4791, 1239, 2303, 602, 1453, 5579, 5896, 1354, 476, 273, 1296, 540, 2085, 723, 606, 5140, 4960, 540, 16565, 4633, 1620, 269, 15379, 15498, 14242, 1281, 711, 7048, 593, 513, 3501, 32649, 540, 3339, 3270, 540, 15672, 8849, 2534, 267, 855, 593, 513, 556, 19543, 540, 3403, 3270, 16109, 689, 606, 5841, 10444, 3403, 3842, 5122, 14242, 269, 769, 713, 2631, 267, 519, 2702, 585, 11543, 22812, 3766, 8724, 4633, 1620, 25358, 676, 31882, 3598, 14242, 568, 12913, 676, 1007, 2994, 540, 9729, 673, 4393, 602, 4196, 2362, 4393, 5933, 547, 4612, 1007, 3270, 21945, 689, 519, 13020, 344, 269, 1452, 2994, 616, 2219, 547, 10836, 689, 5068, 19206, 538, 3210, 547, 519, 10148, 13684, 676, 519, 3601, 540, 519, 1007, 3403, 7194, 602, 538, 2490, 1267, 689, 519, 14242, 4640, 6964, 563, 309, 698, 531, 8229, 14242, 454, 27154, 2090, 723, 3254, 602, 513, 30010, 540, 10444, 15128, 609, 5122, 14242, 540, 519, 669, 22223, 21544, 13540, 21828, 529, 12958, 1279, 18835, 2242, 538, 519, 9729, 673, 3919, 269, 1717, 267, 607, 713, 1106, 540, 6304, 568, 3810, 12362, 267, 621, 568, 711, 4052, 585, 4791, 946, 269, 1306, 13112, 531, 8229, 14242, 12153, 519, 5305, 540, 29648, 617, 22399, 1634, 547, 3895, 5068, 2242, 267, 621, 568, 513, 1447, 12362, 1505, 585, 10451, 6098, 8849, 29010, 676, 30010, 13112, 639, 8229, 14242, 609, 10444, 11378, 269, 1703, 2421, 267, 519, 12117, 540, 13112, 531, 8229, 14242, 538, 7393, 29010, 4667, 547, 9114, 538, 519, 5348, 1120, 2065, 2962, 540, 2789, 29648, 617, 22399, 9117, 538, 519, 19548, 16794, 543, 824, 2634, 4525, 269, 769, 1249, 267, 621, 729, 5063, 7152, 602, 538, 606, 3662, 2203, 540, 13046, 267, 1141, 519, 17391, 16794, 729, 28811, 676, 7368, 4598, 547, 7920, 6846, 267, 513, 7368, 30010, 540, 18565, 609, 5618, 20512, 540, 13112, 639, 8229, 14242, 4625, 17515, 519, 12214, 543, 8965, 31426, 540, 13046, 538, 6846, 7721, 12723, 14148, 269, 901, 5267, 602, 519, 1935, 1522, 723, 1761, 4791, 2418, 563, 29919, 4641, 543, 21284, 4641, 3457, 454, 29919, 4641, 3156, 2709, 1007, 3255, 547, 1353, 711, 1152, 2634, 11852, 896, 8966, 14242, 2175, 267, 855, 849, 585, 606, 19349, 540, 9300, 574, 19318, 543, 5042, 3252, 538, 3425, 269, 22994, 1006, 15717, 568, 513, 4749, 11402, 7613, 1419, 4767, 1282, 10172, 610, 538, 7681, 609, 14715, 3676, 971, 607, 19576, 779, 2068, 630, 11520, 264, 610, 2789, 26379, 630, 5960, 1040, 20010, 547, 6671, 14317, 676, 1610, 23956, 610, 6646, 267, 1007, 8942, 1210, 6806, 2000, 17274, 3308, 543, 17391, 5955, 3177, 998, 21284, 4641, 610, 5691, 4641, 3457, 723, 1044, 3254, 547, 1683, 9621, 11507, 538, 519, 2126, 540, 32376, 4713, 563, 20428, 338, 723, 547, 5957, 513, 1305, 540, 3457, 9967, 540, 513, 1507, 6482, 10687, 1584, 566, 1770, 7923, 547, 519, 3461, 779, 7802, 267, 513, 2212, 25236, 539, 2890, 5891, 267, 543, 1274, 10746, 269, 634, 6482, 10687, 1584, 566, 1770, 568, 7768, 540, 513, 1617, 807, 343, 658, 5787, 10309, 267, 513, 22315, 267, 543, 513, 29668, 518, 269, 634, 17102, 267, 5665, 538, 606, 13261, 6806, 2000, 17274, 7154, 267, 10525, 513, 1272, 20695, 5691, 2638, 518, 4580, 2389, 6150, 6989, 2706, 574, 12723, 593, 519, 1483, 1158, 676, 1294, 28443, 14296, 269, 634, 6806, 2000, 17274, 610, 5955, 1523, 10522, 602, 519, 3432, 540, 519, 10291, 568, 711, 608, 27238, 1305, 855, 568, 606, 6364, 540, 519, 6972, 3432, 540, 519, 3593, 269, 634, 3308, 1198, 568, 519, 1482, 607, 602, 2813, 950, 6972, 936, 3618, 3613, 566, 776, 10291, 971, 607, 513, 1483, 512, 6150, 6989, 269, 6684, 267, 519, 11733, 540, 519, 17391, 29692, 568, 5462, 676, 519, 11733, 540, 519, 3268, 267, 711, 13030, 17930, 563, 763, 1985, 3942, 3322, 519, 3593, 15725, 519, 32376, 4806, 547, 1711, 513, 3586, 9804, 2095, 543, 513, 24754, 17391, 29692, 269, 634, 5691, 267, 21284, 6989, 20781, 29858, 547, 519, 16045, 779, 1378, 5163, 543, 968, 332, 7174, 892, 4724, 1864, 693, 519, 3432, 1305, 676, 519, 3593, 607, 6027, 676, 519, 5787, 10309, 269, 634, 512, 6150, 6989, 6411, 607, 513, 3001, 3308, 4159, 4171, 3432, 568, 6383, 538, 513, 2067, 5955, 6752, 676, 922, 1378, 5163, 269, 634, 7470, 2636, 519, 3593, 547, 1900, 593, 519, 17981, 609, 1279, 26058, 607, 789, 3802, 267, 1498, 789, 798, 711, 1831, 23762, 610, 9168, 1759, 593, 3105, 1900, 13080, 269, 589, 11931, 32376, 15222, 3278, 519, 3461, 779 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15155, 1186, 538, 9705, 723, 1585, 2042, 1282, 4070, 543, 645, 293, 32662, 2305, 269, 898, 568, 2556, 547, 2087, 519, 7355, 585, 4180, 4052, 10688, 543, 3106, 563, 19686, 281, 11114, 3044, 267, 4139, 9208, 263, 3041, 302, 476, 21497, 5655, 267, 476, 1001, 272, 1070, 4436, 9208, 20573, 2562, 476, 5197, 2412, 268, 272, 267, 1001, 271, 1070, 22341, 9208, 263, 302, 2894, 3036, 300, 645, 476, 8182, 271, 267, 476, 1001, 278, 1070, 18230, 9208, 18217, 768, 590, 8656, 476, 4335, 267, 476, 1220, 280, 1070, 8225, 24092, 16360, 5648, 11621, 6651, 267, 476, 1001, 278, 1070, 1977, 9208, 263, 4696, 288, 11621, 267, 476, 1001, 271, 264, 941, 514, 4034, 580, 730, 543, 9916, 269, 589, 3102, 6454, 540, 519, 19856, 10380, 4441, 568, 2889, 12723, 269, 11778, 281, 634, 19856, 568, 513, 2556, 9744, 585, 519, 11064, 1863, 1569, 543, 7299, 10009, 1993, 519, 16981, 269, 898, 4927, 581, 8704, 609, 3102, 7156, 540, 519, 3617, 9386, 540, 1492, 19856, 267, 519, 3845, 540, 519, 6024, 9386, 267, 519, 6023, 543, 909, 1056, 585, 31355, 3106, 269, 769, 4650, 547, 2087, 13418, 267, 4259, 519, 1697, 9386, 543, 12145, 519, 3259, 540, 519, 9386, 616, 854, 1271, 267, 543, 9283, 616, 2838, 547, 519, 2157, 4843, 676, 3486, 543, 4914, 1056, 1841, 269, 634, 15458, 4441, 540, 11114, 1876, 543, 645, 293, 13995, 4441, 1058, 581, 5693, 574, 2889, 1386, 865, 607, 711, 547, 581, 31495, 2181, 1540, 538, 4070, 543, 4446, 8175, 5131, 27872, 269, 1955, 6473, 281, 17220, 543, 4914, 4441, 1058, 581, 12649, 547, 2327, 4052, 10688, 543, 3106, 269, 1656, 1260, 11772, 633, 6454, 3800, 1058, 581, 4843, 998, 6024, 1382, 269, 0, 2026, 7414, 6082, 3068, 606, 7334, 2104, 1813, 547, 519, 1764, 540, 2916, 1689, 267, 1007, 2079, 814, 7000, 5245, 568, 4730, 513, 1713, 1909, 538, 741, 27757, 563, 17471, 5434, 3950, 518, 8693, 13138, 19781, 2982, 5245, 781, 5434, 616, 17784, 1346, 30461, 676, 519, 1964, 540, 519, 3148, 267, 1519, 1715, 10215, 563, 17442, 684, 3481, 676, 2916, 5859, 518, 1325, 717, 648, 693, 30505, 2767, 593, 13723, 630, 29985, 942, 1070, 519, 4830, 9477, 1907, 19306, 1239, 593, 936, 476, 7761, 267, 1822, 6703, 1519, 1379, 2371, 543, 3282, 1201, 514, 7685, 689, 2066, 519, 8608, 563, 2108, 2080, 781, 1018, 649, 616, 12419, 2221, 281, 589, 2347, 11891, 593, 519, 1713, 5434, 4609, 538, 476, 25240, 2477, 543, 11182, 267, 476, 3707, 4759, 6082, 282, 5434, 689, 1169, 2101, 5823, 267, 543, 1016, 5498, 2758, 2223, 646, 1767, 563, 763, 5304, 7902, 6678, 337, 6817, 676, 519, 1554, 781, 14245, 267, 17444, 856, 8254, 11436, 543, 1775, 4942, 2158, 547, 7001, 519, 4090, 269, 2136, 8315, 14199, 29731, 21293, 717, 17458, 637, 9447, 513, 3532, 4633, 267, 6031, 519, 22987, 3177, 676, 6004, 717, 648, 781, 1907, 1131, 1118, 621, 968, 3467, 2352, 547, 3039, 31683, 267, 610, 547, 581, 811, 2312, 267, 547, 31376, 3034, 26046, 540, 8693, 13138, 19781, 779, 1239, 676, 1875, 17416, 8693, 7027, 8947, 875, 5245, 3379, 547, 824, 6082, 269, 898, 1336, 5434, 3812, 693, 519, 8210, 2130, 1379, 6728, 538, 29517, 616, 3622, 3152, 982, 519, 5916, 5434, 540, 674, 25702, 267, 21125, 11866, 267, 6341, 10394, 267, 17340, 756, 10620, 267, 3943, 2717, 29498, 807, 267, 1715, 2836, 539, 8205, 543, 12130, 14772, 807, 563, 288, 20624, 2206, 1194, 856, 607, 2916, 1412, 331, 12000, 731, 7055, 20458, 7027, 1382, 8689, 1767, 519, 8693, 29895, 1907, 2982, 968, 6011, 1454, 540, 513, 8093, 4492, 9649, 5245, 2731, 568, 6100, 968, 11742, 543, 942, 1586, 267, 649, 2461, 7487, 1346, 602, 12520, 519, 2547, 2443, 899, 7414, 6532, 2477, 2443, 1373, 5734, 519, 23698, 676, 2916, 12469, 2223, 646, 1767, 563, 28317, 20624, 1590, 1489, 1346, 593, 519, 4395, 3515, 540, 519, 2916, 6433, 2223, 646, 4797, 269, 968, 1607, 814, 1044, 513, 2101, 6249, 540, 30505, 2767, 267, 543, 786, 3136, 547, 20441, 2518, 2916, 16395, 2394, 1483, 2530, 543, 3441, 19647, 616, 1500, 3034, 288, 20624, 7472, 3592, 5595, 519, 5434, 607, 5527, 454, 292, 5118, 814, 2673, 547, 2185, 2053, 519, 2551, 540, 5245, 454, 288, 20624, 32307, 3592, 7466, 519, 5434, 607, 782, 540, 22778, 807, 454, 288, 20624, 1793, 25428, 607, 2916, 1412, 331, 12000, 731, 262, 676, 5177, 1895, 454, 11900, 2074, 3177, 676, 519, 1907, 2097, 607, 5245, 8188, 1713, 2518, 2604, 547, 3479, 547, 513, 2916, 2508, 547, 948, 267, 3384, 6082, 4431, 547, 519, 1764, 540, 2916, 1689, 563, 1607, 3018, 267, 5177, 2916, 1689, 17404, 12539, 16684, 1336, 519, 2475, 568, 9991, 2110, 540, 922, 3486, 19647, 543, 1058, 581, 9878, 2475, 259, 2412, 5479, 18121, 2568, 269, 2537, 3915, 517, 264, 811, 12422, 538, 2916, 8804, 547, 3384, 2477, 563, 2005, 849, 2206, 1194, 856, 5245, 267, 4516, 267, 543, 519, 5177, 607, 968, 331, 12000, 1841, 6100, 634, 4681, 616, 538, 1899, 609, 513, 9963, 1500, 676, 7621, 325, 600, 2063, 3923, 602, 5245, 568, 968, 26211, 577, 4474, 4057, 6082, 9731, 288, 20624, 568, 5859, 532, 547, 3984, 519, 30505, 4029, 538, 476, 1708, 277, 563, 2710, 596, 723, 513, 1650, 9133, 286, 19478, 281, 4757, 11333, 2593, 269, 0, 3528, 3695, 513, 4625, 1007, 7792, 8790, 1468, 799, 1223, 17932, 10305, 540, 2634, 5160, 267, 3345, 13523, 2160, 3173, 616, 2965, 6251, 547, 3478, 513, 3760, 5827, 540, 5883, 891, 2152, 1818, 946, 540, 27532, 5061, 6993, 1883, 12146, 609, 519, 6602, 6157, 568, 519, 2702, 547, 2359, 519, 1582, 23829, 12273, 3157, 540, 6675, 538, 519, 1570, 267, 7175, 519, 3173, 547, 12189, 519, 2497, 543, 2934, 585, 519, 3457, 593, 519, 23282, 7051, 585, 519, 4336, 540, 18476, 5759, 269, 634, 8047, 540, 15656, 594, 269, 853, 6269, 11540, 513, 476, 1001, 279, 1957, 3330, 519, 4760, 3163, 799, 4951, 602, 6878, 949, 1360, 1134, 581, 2966, 609, 24215, 6422, 6675, 23553, 547, 22109, 936, 17890, 9883, 543, 1582, 268, 6716, 1125, 547, 2186, 3677, 267, 29770, 27273, 560, 19099, 2108, 15985, 956, 540, 6289, 1993, 756, 619, 563, 3086, 267, 513, 15388, 2319, 3366, 676, 853, 6269, 814, 3254, 602, 891, 22530, 23461, 666, 7494, 3986, 22813, 7269, 267, 606, 1898, 13844, 8808, 1957, 1603, 948, 602, 666, 723, 6286, 585, 1591, 24328, 12485, 585, 31895, 17654, 2175, 602, 1331, 19576, 779, 543, 12216, 779, 19210, 267, 607, 1134, 607, 11983, 5911, 2800, 31422, 1607, 6763, 856, 607, 519, 1360, 1101, 14745, 4010, 1141, 649, 723, 1044, 2111, 547, 2015, 519, 7613, 540, 7636, 18534, 4428, 1782, 649, 7074, 538, 476, 1001, 279, 543, 10244, 621, 585, 606, 3301, 538, 27532, 5061, 267, 2108, 6045, 853, 6269, 267, 519, 3391, 17082, 936, 519, 1353, 1927, 609, 519, 8689, 540, 3345, 13523, 779, 3244, 12121, 2372, 518, 9445, 4659, 269, 29770, 2171, 666, 1256, 946, 21437, 585, 519, 1007, 8790, 1468, 547, 4217, 1451, 11257, 543, 5431, 2619, 3098, 31422, 288, 22082, 540, 24101, 1090, 12817, 1582, 23829, 12273, 267, 853, 6269, 568, 849, 519, 8274, 540, 11565, 4315, 7905, 540, 15689, 3163, 543, 7177, 267, 11061, 267, 6925, 543, 4437, 32441, 7177, 543, 6585, 20499, 689, 519, 1284, 514, 6199, 5441, 610, 6280, 540, 8551, 543, 7070, 267, 519, 15966, 768, 1157, 2160, 540, 7177, 543, 4061, 519, 3171, 514, 6199, 20513, 540, 4915, 563, 763, 1007, 2326, 568, 9112, 676, 11544, 1079, 15559, 602, 3533, 1831, 14461, 607, 1373, 513, 1439, 1267, 540, 4205, 1634, 538, 7998, 607, 3984, 28621, 652, 23838, 602, 17932, 1883, 2000, 1442, 4205, 8015, 5946, 267, 607, 1134, 607, 607, 519, 1439, 1267, 540, 519, 1445, 540, 891, 4205, 538, 25050, 8397, 2127, 998, 513, 3573, 4336, 9194, 540, 29770, 19769, 532, 6675, 31422, 763, 26227, 6675, 1331, 513, 3845, 476, 1911, 271, 338, 540, 5712, 3677, 982, 873, 30441, 865, 607, 547, 6512, 609, 1142, 824, 883, 9645, 22530, 23461, 269, 2201, 519, 18784, 4336, 267, 713, 9194, 12153, 513, 23009, 2670, 538, 4070, 689, 1018, 5654, 899, 606, 4608, 10541, 32004, 540, 986, 5443, 30653, 883, 887, 335, 601, 833, 15985, 956, 31422, 23777, 673, 8790, 17467, 1031, 538, 4915, 899, 12249, 3289, 5766, 1564, 5225, 1810, 1406, 4865, 519, 5759, 547, 11863, 6675, 547, 1582, 23829, 14517, 543, 4483, 1472, 3330, 891, 32234, 267, 2108, 6045, 570, 2077, 534, 7581, 332, 976, 267, 513, 7634, 24988, 538, 519, 853, 6269, 15272, 960, 2978, 543, 1071, 23867, 17082, 10362, 547, 519, 1957, 609, 5981, 18588, 3798, 601, 321, 13702, 267, 513, 3105, 10927, 16159, 1247, 538, 519, 2319, 269, 29770, 1607, 7613, 568, 2189, 585, 519, 3292, 649, 723, 2813, 1934, 31422, 454, 13010, 267, 2016, 602, 519, 6422, 6675, 4483, 547, 4990, 22530, 23461, 267, 5458, 22405, 1930, 909, 602, 1577, 2281, 547, 23309, 543, 2170, 609, 6915, 5562, 6786, 602, 1223, 581, 7471, 538, 547, 519, 8790, 17467, 269, 19950, 5944, 267, 519, 7344, 4229, 540, 476, 274, 291, 8228, 7519, 519, 3984, 28621, 652, 4205, 689, 519, 22530, 23461, 543, 3142, 827, 519, 5958, 547, 3350, 267, 855, 621, 2731, 666, 24847, 4396, 1518, 883, 1022, 12550, 2675, 8084, 1106, 2094, 519, 4205, 616, 17468, 31380, 676, 1582, 23829, 12273, 269, 901, 849, 14998, 519, 476, 274, 291, 8940, 8542, 2720, 532, 17549, 2593, 270, 712, 1606, 26236, 14672, 2720, 532, 268, 22967, 2914, 3876, 28129, 270, 8228, 540, 5656, 609, 2189, 2157, 602, 22426, 1585, 5686, 540, 8849, 2281, 607, 513, 1259, 547, 1382, 741, 4205, 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 ]

[ 2073, 590, 737, 18016, 717, 269, 8058, 281, 634, 630, 13678, 6714, 748, 267, 703, 4920, 1438, 264, 2962, 540, 717, 593, 454, 1492, 5430, 1115, 540, 519, 590, 1775, 568, 21705, 952, 543, 1152, 952, 2340, 489, 480, 328, 4295, 294, 630, 306, 1775, 3738, 815, 2340, 509, 357, 272, 414, 509, 358, 563, 321, 264, 4635, 519, 18572, 538, 513, 1070, 2328, 513, 1982, 538, 717, 4338, 799, 11887, 585, 513, 1895, 717, 519, 454, 20791, 652, 4110, 540, 513, 21705, 32089, 6041, 269, 630, 2791, 949, 946, 717, 4338, 267, 538, 1880, 519, 1599, 1230, 24503, 2329, 12218, 525, 8138, 25364, 547, 3313, 519, 1016, 25364, 540, 717, 8094, 322, 264, 4635, 519, 5399, 540, 1507, 2516, 538, 717, 4338, 267, 1265, 606, 1383, 540, 513, 1895, 717, 543, 715, 2340, 488, 366, 717, 971, 602, 519, 454, 20791, 652, 4110, 540, 513, 21705, 32089, 6041, 540, 717, 568, 4130, 982, 602, 540, 717, 21610, 563, 7830, 264, 2913, 533, 581, 513, 6305, 269, 14674, 606, 5690, 1107, 1210, 519, 3069, 540, 3339, 3029, 1107, 547, 2328, 1524, 454, 320, 454, 10517, 6974, 2510, 540, 519, 17788, 2329, 5049, 540, 23834, 333, 630, 335, 1040, 1411, 949, 8263, 602, 630, 2421, 28809, 1535, 630, 335, 3738, 6567, 1535, 264, 596, 454, 17647, 513, 1505, 602, 666, 3132, 782, 9048, 3027, 1076, 21335, 540, 513, 2016, 4110, 936, 717, 293, 9638, 1916, 3499, 0, 258, 1548, 568, 519, 28206, 848, 538, 13379, 540, 513, 10610, 540, 7136, 476, 7785, 11899, 1879, 898, 568, 570, 2586, 538, 513, 17719, 540, 3493, 628, 476, 4335, 271, 332, 286, 910, 8212, 692, 301, 10179, 673, 692, 1432, 568, 519, 6175, 538, 2597, 540, 513, 1560, 540, 2527, 476, 7785, 11899, 950, 621, 568, 3144, 538, 513, 9553, 540, 3178, 476, 4335, 271, 332, 2496, 314, 7101, 3780, 540, 3618, 815, 476, 25953, 271, 14790, 267, 575, 815, 476, 280, 269, 279, 544, 4882, 273, 476, 6540, 2971, 8827, 692, 11693, 602, 544, 815, 476, 7785, 4846, 267, 546, 815, 476, 4335, 271, 544, 2676, 305, 815, 476, 25953, 271, 5998, 815, 476, 277, 269, 275, 1109, 9943, 476, 11793, 332, 454, 26574, 540, 519, 1560, 593, 519, 2627, 540, 519, 3047, 815, 476, 7785, 1109, 9943, 476, 280, 269, 279, 815, 476, 276, 6434, 271, 715, 454, 4263, 3178, 546, 267, 28040, 2787, 10231, 568, 692, 326, 5091, 284, 326, 314, 272, 1673, 24250, 6540, 11004, 1150, 326, 5091, 284, 326, 314, 272, 268, 276, 270, 25953, 271, 24557, 280, 269, 279, 1535, 476, 271, 269, 15886, 692, 11004, 1150, 575, 5091, 284, 280, 269, 278, 3445, 273, 332, 4882, 273, 692, 26574, 593, 2627, 815, 8406, 692, 284, 7785, 1535, 476, 280, 269, 279, 692, 30043, 26574, 593, 2627, 284, 476, 276, 6434, 271, 301, 692, 7076, 540, 519, 1560, 693, 3178, 284, 16936, 323, 692, 284, 7785, 1535, 476, 280, 269, 278, 3445, 273, 692, 284, 6812, 278, 275, 301, 692, 30043, 5719, 920, 848, 538, 2597, 815, 8406, 910, 16936, 323, 692, 284, 276, 6434, 271, 715, 910, 476, 6812, 278, 275, 715, 692, 30043, 5719, 920, 848, 538, 2597, 815, 476, 277, 301, 692, 3519, 1061, 281, 24665, 566, 9603, 547, 32322, 543, 4706, 7352, 566, 609, 16816, 3363, 543, 3493, 628, 454, 3674, 972, 606, 5470, 538, 713, 2243, 610, 3070, 286, 0, 258, 7177, 14301, 1107, 5463, 685, 1001, 271, 692, 12218, 4530, 476, 272, 454, 19894, 12443, 326, 976, 267, 2480, 2297, 267, 1230, 545, 590, 30708, 1299, 7981, 4354, 1407, 454, 12585, 7102, 8422, 2986, 634, 11374, 1384, 13729, 3143, 281, 476, 272, 692, 272, 269, 8571, 513, 31996, 1512, 4336, 540, 16674, 815, 272, 270, 276, 547, 1224, 1232, 12281, 267, 17744, 543, 28935, 267, 543, 547, 2268, 909, 547, 476, 277, 454, 20657, 12281, 269, 8058, 519, 13080, 540, 476, 276, 269, 10463, 546, 332, 267, 476, 273, 269, 4200, 546, 332, 543, 476, 271, 269, 5392, 546, 332, 593, 621, 269, 476, 273, 269, 476, 274, 269, 769, 513, 6906, 13235, 267, 9474, 267, 8028, 267, 543, 7460, 616, 476, 1911, 6515, 267, 476, 4649, 6515, 543, 476, 3583, 6515, 6606, 269, 8571, 606, 31753, 543, 602, 589, 543, 645, 616, 535, 1539, 267, 543, 595, 568, 513, 1448, 593, 519, 7455, 269, 4855, 1463, 3700, 543, 26137, 640, 540, 31753, 269, 589, 6149, 568, 16207, 689, 513, 476, 278, 544, 1164, 2679, 267, 543, 693, 922, 5207, 8184, 519, 6149, 1175, 22613, 513, 476, 1691, 544, 1164, 13869, 3529, 269, 29895, 519, 2619, 540, 519, 6149, 11489, 621, 18953, 519, 2666, 269, 634, 3845, 1063, 519, 2679, 543, 519, 13869, 3529, 568, 476, 275, 544, 269, 8571, 513, 31996, 1512, 4336, 540, 16674, 815, 476, 272, 270, 2190, 547, 1224, 18126, 267, 3952, 543, 6279, 267, 543, 547, 2268, 909, 547, 476, 275, 18126, 269, 8058, 593, 621, 13080, 8204, 630, 328, 264, 476, 273, 18126, 476, 273, 3952, 476, 1015, 6279, 630, 4512, 264, 476, 272, 3723, 476, 274, 6279, 269, 20472, 513, 2834, 20008, 6782, 540, 476, 1839, 6515, 2427, 267, 676, 1079, 1114, 2409, 780, 275, 780, 276, 780, 25811, 1359, 14301, 1107, 5463, 685, 1001, 271, 454, 12218, 4530, 476, 272, 454, 19894, 12443, 326, 976, 267, 2480, 2297, 267, 1230, 545, 590, 30708, 1299, 7981, 4354, 1407, 454, 12585, 7102, 8422, 2986, 634, 11374, 1384, 13729, 3143, 281, 476, 273, 692, 272, 269, 634, 4890, 3259, 540, 476, 4335, 544, 568, 6719, 676, 513, 1899, 540, 476, 1428, 4699, 593, 513, 5373, 269, 20472, 513, 31546, 1512, 4336, 547, 454, 1348, 15399, 334, 476, 7785, 544, 269, 4460, 593, 519, 4336, 513, 3259, 540, 476, 276, 5392, 332, 269, 476, 273, 269, 476, 274, 269, 634, 3845, 1063, 519, 1463, 3700, 543, 519, 1445, 540, 513, 29236, 568, 476, 2004, 6515, 269, 8571, 519, 7455, 269, 8571, 513, 17242, 543, 3339, 693, 513, 1448, 540, 519, 7455, 476, 1911, 6515, 689, 519, 1463, 3700, 269, 8571, 519, 2619, 14360, 856, 676, 513, 1448, 593, 519, 18592, 540, 513, 5858, 855, 6587, 547, 519, 3346, 1448, 269, 634, 5858, 20061, 1510, 1793, 6235, 19794, 1524, 2072, 585, 519, 3845, 3160, 547, 922, 15943, 269, 634, 8006, 540, 519, 5858, 568, 476, 2412, 6515, 269, 8745, 519, 7455, 269, 12433, 519, 16674, 540, 513, 4336, 799, 3800, 476, 273, 269, 276, 6279, 547, 513, 13304, 269, 8571, 513, 13354, 4336, 540, 12919, 547, 1224, 909, 547, 476, 1015, 5998, 269, 476, 272, 13304, 284, 272, 269, 8618, 5998, 269, 769, 18285, 513, 2834, 1261, 696, 6782, 538, 513, 5858, 540, 8006, 476, 2004, 7825, 780, 275, 269, 476, 276, 780, 25811, 1359, 14301, 1107, 5463, 685, 1001, 271, 454, 12218, 4530, 476, 272, 454, 19894, 12443, 326, 976, 267, 2480, 2297, 267, 1230, 545, 590, 30708, 1299, 7981, 4354, 1407, 454, 12585, 7102, 8422, 2986, 634, 11374, 1384, 13729, 3143, 281, 476, 274, 692, 272, 269, 476, 273, 780, 288, 4464, 2542, 31546, 1512, 4336, 3947, 519, 1739, 3877, 476, 272, 20444, 323, 815, 476, 2412, 4699, 269, 476, 272, 5288, 323, 284, 476, 1839, 4699, 16674, 815, 476, 272, 2433, 476, 1911, 269, 634, 4336, 568, 547, 581, 2111, 547, 1224, 15399, 334, 476, 1015, 15432, 269, 20472, 543, 1665, 593, 519, 4336, 513, 3845, 540, 476, 278, 269, 5952, 544, 543, 476, 279, 269, 1428, 544, 269, 589, 5858, 540, 476, 2004, 6515, 8006, 20061, 593, 513, 2786, 1899, 1510, 1793, 6235, 269, 769, 519, 3355, 2990, 267, 519, 8006, 9474, 540, 519, 5858, 568, 6252, 547, 519, 1899, 267, 593, 799, 621, 20061, 269, 8571, 519, 1327, 328, 540, 519, 2798, 589, 543, 645, 585, 835, 4838, 540, 519, 5858, 269, 634, 29297, 4925, 540, 513, 5409, 19096, 616, 1818, 476, 3583, 5232, 609, 1142, 824, 269, 589, 1448, 623, 593, 519, 7455, 568, 693, 513, 3845, 540, 476, 2412, 6515, 689, 519, 8880, 29297, 1774, 543, 476, 2004, 6515, 689, 519, 20916, 29297, 1774, 269, 18140, 519, 7455, 269, 8571, 513, 3339, 543, 513, 17242, 547, 519, 7455, 693, 1022, 1448, 269, 20472, 513, 31546, 1512, 4336, 547, 1224, 9883, 2953, 547, 513, 1232, 600, 2678, 593, 513, 4786, 538, 799, 519, 4890, 9883, 616, 4389, 538, 519, 5223, 540, 476, 272, 281, 6110, 876, 269, 634, 4336, 1058, 581, 1279, 2614, 547, 2268, 476, 277, 12919, 269, 4460, 593, 519, 4336, 519, 13080, 540, 476, 274, 269, 4097, 5998, 543, 476, 271, 269, 6872, 5998, 20472, 513, 2834, 20008, 6782, 267, 1261, 696, 6782, 609, 5871, 3490, 540, 476, 2412, 6515, 2427, 780, 274, 780, 275, 780, 276, 269, 0, 258, 20553, 4569, 6103, 476, 275, 21602, 476, 2641, 7689, 476, 275, 8382, 6206, 6657, 609, 24908, 21474, 692, 2171, 3769, 1109, 295, 300, 295, 20553, 4569, 6103, 476, 275, 8382, 6206, 7300, 21602, 476, 2641, 7689, 476, 275, 6657, 609, 24908, 21474, 547, 1118, 1053, 4966, 538, 1565, 13004, 780, 1012, 32518, 295, 20553, 4569, 6103, 476, 275, 21602, 476, 2641, 7689, 476, 275, 8382, 6206, 6657, 609, 24908, 21474, 692, 296, 2052, 946, 1250, 1620, 540, 519, 3448, 2450, 540, 6482, 4559, 543, 811, 982, 835, 5106, 547, 4194, 2042, 5473, 3259, 543, 942, 780, 3721, 898, 4934, 692, 9223, 476, 272, 563, 292, 12848, 2841, 525, 538, 513, 7823, 11332, 5198, 543, 26088, 476, 1321, 3764, 476, 5655, 7643, 1310, 700, 1014, 267, 945, 26088, 538, 476, 6812, 3764, 476, 6246, 7643, 269, 769, 14162, 26088, 476, 276, 3764, 476, 1428, 7643, 1310, 11875, 320, 269, 1215, 1279, 1281, 621, 1491, 769, 14162, 547, 9096, 519, 5198, 2496, 288, 269, 1733, 846, 18138, 942, 798, 596, 917, 286, 1548, 729, 741, 942, 888, 296, 917, 700, 1014, 18138, 942, 269, 700, 1014, 26088, 519, 7823, 11332, 5198, 538, 476, 6812, 3764, 476, 6246, 7643, 780, 289, 269, 1215, 666, 596, 946, 519, 1634, 942, 547, 1265, 11875, 320, 779, 18138, 942, 888, 292, 12848, 26088, 519, 7823, 11332, 5198, 538, 476, 1321, 3764, 476, 5655, 7643, 1310, 700, 1014, 563, 11754, 2016, 11875, 320, 779, 18138, 942, 609, 700, 1014, 18138, 942, 563, 1321, 3764, 476, 5655, 7643, 1341, 476, 6812, 3764, 476, 6246, 7643, 815, 476, 3583, 3764, 476, 5952, 7643, 454, 292, 12848, 779, 26088, 519, 7823, 11332, 5198, 538, 476, 3583, 3764, 476, 5952, 7643, 780, 290, 269, 1548, 568, 11875, 320, 779, 18138, 942, 286, 3204, 4981, 952, 2556, 269, 8058, 707, 960, 563, 292, 12848, 779, 18138, 942, 568, 476, 3583, 3764, 476, 5952, 7643, 563, 2080, 649, 723, 547, 1036, 4981, 7643, 607, 8792, 543, 3764, 607, 5662, 563, 272, 8792, 815, 476, 2568, 7643, 454, 272, 5662, 815, 476, 2568, 3764, 454, 292, 12848, 779, 18138, 942, 476, 3583, 3764, 476, 5952, 7643, 568, 1036, 4981, 539, 607, 476, 272, 5662, 476, 1556, 3764, 476, 1839, 7643, 780, 291, 269, 1215, 666, 596, 1265, 769, 14162, 779, 18138, 942, 888, 296, 928, 345, 26088, 519, 7823, 11332, 5198, 538, 476, 276, 3764, 476, 1428, 7643, 1310, 11875, 320, 563, 2414, 5173, 769, 14162, 779, 18138, 942, 649, 723, 547, 1039, 2016, 769, 14162, 779, 18138, 942, 609, 11875, 320, 779, 18138, 942, 780, 292, 269, 1548, 568, 769, 14162, 779, 942, 286, 8058, 707, 960, 563, 296, 928, 345, 26088, 476, 276, 3764, 476, 1428, 7643, 1310, 11875, 320, 563, 11754, 2016, 769, 14162, 779, 18138, 942, 609, 11875, 320, 18138, 942, 563, 276, 3764, 476, 1428, 7643, 1341, 476, 272, 5662, 476, 1556, 3764, 476, 1839, 7643, 815, 476, 272, 5662, 476, 1626, 3764, 476, 2412, 7643, 454, 296, 928, 345, 779, 26088, 519, 7823, 11332, 5198, 538, 476, 272, 5662, 476, 1626, 3764, 476, 2412, 7643, 780, 31282, 543, 13185, 1548, 2994, 666, 596, 946, 547, 2638, 707, 4267, 2496, 9223, 476, 273, 563, 2304, 21677, 1576, 2882, 1614, 6821, 543, 513, 18535, 2121, 269, 634, 1614, 6821, 616, 476, 4281, 17744, 267, 476, 4281, 17744, 267, 543, 476, 272, 11281, 7381, 269, 634, 4463, 540, 519, 18535, 2121, 568, 519, 2040, 540, 519, 15627, 540, 519, 1614, 6821, 269, 1215, 7381, 568, 519, 18535, 2121, 2496, 288, 269, 1548, 1344, 798, 596, 917, 888, 296, 917, 519, 15627, 540, 519, 1614, 3774, 269, 634, 1614, 6821, 4463, 616, 476, 4281, 17744, 267, 476, 4281, 17744, 267, 543, 476, 272, 11281, 7381, 780, 289, 269, 1548, 1344 ]

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

[ 1869, 267, 5077, 707, 4387, 1354, 2921, 1022, 540, 621, 563, 2026, 728, 689, 519, 7150, 2175, 267, 1019, 675, 9455, 949, 849, 22009, 824, 2175, 899, 18492, 2042, 630, 1721, 2021, 1070, 18024, 543, 8459, 2042, 563, 11328, 13905, 609, 824, 6527, 454, 2691, 596, 2461, 5116, 593, 513, 1007, 6646, 267, 2327, 596, 1577, 707, 4387, 917, 827, 824, 6527, 267, 11922, 610, 9360, 596, 2461, 2921, 269, 23560, 865, 786, 948, 519, 4387, 2638, 585, 1022, 2009, 4205, 1063, 519, 1007, 6646, 543, 519, 835, 596, 2461, 2921, 2907, 269, 2368, 5061, 950, 15025, 609, 1019, 675, 9455, 1522, 10460, 1978, 1272, 18446, 2175, 269, 6201, 540, 891, 6527, 1331, 912, 268, 14640, 268, 1506, 13630, 2400, 8069, 454, 268, 18729, 20919, 454, 268, 17327, 4550, 26817, 12185, 8069, 454, 9213, 267, 2564, 4648, 1265, 1019, 675, 9455, 547, 581, 519, 3501, 6474, 585, 8156, 513, 2039, 540, 2175, 1519, 7249, 24304, 2295, 5821, 267, 30046, 543, 1164, 1973, 2604, 269, 1452, 6527, 666, 2333, 707, 1377, 540, 10729, 2504, 607, 789, 4043, 547, 5818, 519, 2557, 693, 799, 1216, 543, 6070, 616, 30461, 689, 519, 1560, 538, 519, 1106, 540, 10729, 269, 9282, 789, 949, 1413, 782, 25368, 267, 972, 849, 2097, 609, 930, 4220, 7923, 269, 1924, 267, 596, 1058, 2141, 5077, 707, 4387, 585, 513, 1732, 13310, 543, 3251, 2635, 2141, 256, 0, 4467, 6312, 756, 559, 1235, 3409, 602, 1863, 786, 568, 15095, 609, 15002, 1143, 267, 2094, 952, 15002, 1143, 1705, 711, 3180, 267, 789, 1589, 602, 741, 786, 1223, 711, 3313, 741, 3527, 563, 2467, 568, 2370, 13618, 3823, 10678, 4332, 1296, 269, 12472, 910, 8176, 16817, 1412, 338, 7778, 540, 6211, 4720, 538, 3340, 4960, 547, 1711, 8390, 538, 519, 5444, 7535, 269, 18421, 538, 519, 1570, 7122, 568, 1500, 540, 8444, 538, 13417, 31463, 762, 10419, 783, 5163, 269, 853, 18757, 16495, 1572, 585, 2367, 547, 5706, 13777, 850, 18653, 899, 10845, 543, 679, 11803, 563, 9515, 29739, 593, 2261, 11538, 1864, 267, 543, 9863, 513, 13991, 7385, 547, 7247, 646, 2968, 27145, 7923, 269, 1261, 11130, 602, 5481, 949, 3006, 581, 513, 834, 628, 805, 547, 6617, 257, 855, 693, 519, 1482, 942, 789, 2099, 834, 1492, 4316, 585, 1514, 7004, 8487, 27745, 649, 1413, 547, 10826, 3676, 269, 13162, 781, 729, 18367, 569, 1572, 834, 763, 20607, 720, 540, 519, 4024, 269, 1452, 10054, 267, 607, 1230, 523, 1696, 620, 7074, 267, 616, 15002, 1143, 267, 10686, 6291, 267, 16163, 574, 3415, 267, 543, 1252, 1275, 269, 1656, 1082, 11309, 12579, 16153, 741, 21379, 1952, 1465, 609, 4960, 607, 519, 2707, 540, 5191, 563, 3528, 713, 1505, 4992, 616, 9228, 676, 519, 25850, 799, 616, 11347, 540, 519, 3312, 3280, 4607, 676, 519, 28416, 563, 12901, 328, 1790, 21627, 13659, 568, 6825, 676, 1614, 3506, 540, 2219, 538, 519, 1514, 2257, 1382, 269, 12344, 524, 999, 585, 930, 5042, 4524, 610, 24040, 10108, 269, 1261, 7301, 569, 2404, 621, 609, 519, 4317, 16817, 626, 3206, 540, 1010, 942, 543, 1572, 621, 513, 834, 326, 7517, 6138, 563, 1103, 3162, 2455, 1901, 963, 4535, 1310, 519, 1101, 11180, 9550, 4371, 1310, 32044, 616, 1419, 5219, 547, 538, 2923, 607, 519, 834, 9799, 6954, 5108, 2668, 10318, 514, 2065, 10092, 616, 1152, 519, 2013, 585, 1360, 1804, 3615, 267, 1141, 519, 8579, 4031, 540, 10570, 6323, 3328, 547, 1831, 5176, 1978, 3846, 673, 4031, 585, 3915, 328, 731, 11084, 543, 10785, 563, 763, 5951, 845, 5161, 540, 4908, 1110, 4327, 28377, 269, 901, 9415, 519, 3830, 540, 6107, 609, 1514, 25430, 543, 1689, 269, 6270, 1949, 2705, 849, 723, 1978, 2115, 540, 741, 1378, 799, 723, 547, 581, 1558, 607, 2838, 1312, 676, 2078, 1063, 519, 1514, 1062, 543, 922, 1604, 543, 676, 519, 4835, 25029, 540, 519, 1062, 563, 763, 1523, 540, 513, 5108, 666, 849, 581, 1031, 547, 12398, 1880, 4332, 16649, 2176, 538, 1808, 3140, 543, 2686, 6381, 267, 971, 607, 519, 834, 17926, 1630, 12002, 834, 269, 24641, 519, 2250, 568, 796, 4219, 762, 267, 932, 24075, 2089, 639, 11130, 602, 930, 2104, 2621, 602, 616, 2009, 798, 711, 2049, 676, 13766, 689, 2250, 5007, 2188, 4805, 267, 855, 1522, 4096, 593, 721, 563, 288, 2077, 13444, 10353, 1010, 23139, 4960, 547, 13766, 281, 1261, 1572, 713, 861, 928, 577, 1143, 267, 513, 22579, 2165, 585, 15364, 267, 538, 2312, 4334, 547, 519, 4351, 2621, 540, 1010, 1119, 577, 1143, 563, 1607, 3069, 2968, 3833, 9565, 609, 519, 1857, 543, 12081, 1243, 606, 1719, 538, 519, 15257, 540, 5481, 269, 769, 2901, 2013, 7453, 15002, 1143, 5205, 676, 8471, 17217, 27291, 689, 606, 9631, 30876, 582, 550, 2696, 269, 1403, 4896, 814, 4555, 267, 6436, 528, 6405, 2963, 921, 848, 2022, 269, 1879, 596, 3717, 609, 2576, 3544, 540, 707, 1753, 543, 707, 1591, 6049, 568, 609, 596, 1118, 4063, 540, 519, 6643, 585, 519, 1985, 3108, 1510, 13288, 1394, 547, 621, 693, 20471, 563, 1607, 1153, 5059, 593, 519, 1367, 12007, 1995, 693, 519, 13258, 540, 1514, 2796, 269, 3502, 2386, 827, 519, 16079, 12068, 6085, 269, 634, 3044, 4661, 1996, 1863, 786, 568, 602, 621, 666, 711, 7654, 581, 11028, 4290, 539, 609, 2901, 4351, 1145, 610, 15002, 1143, 267, 543, 602, 891, 1079, 9688, 519, 9266, 7399, 563, 1103, 519, 1158, 540, 2470, 267, 2257, 1185, 16309, 538, 24482, 24931, 519, 7706, 540, 519, 15151, 1875, 10288, 267, 519, 6830, 3726, 748, 543, 519, 23139, 269, 2637, 2473, 619, 4810, 3127, 781, 2804, 10841, 754, 766, 543, 616, 811, 6899, 609, 3309, 5380, 269, 1290, 974, 5189, 519, 2262, 968, 306, 1539, 1108, 892, 538, 634, 2165, 968, 306, 1539, 1108, 892, 568, 6508, 689, 519, 5824, 2262, 5081, 639, 267, 2495, 13959, 610, 12314, 267, 543, 519, 5259, 2262, 27291, 267, 2495, 1353, 610, 2257, 563, 4467, 974, 779, 15257, 729, 22350, 23091, 609, 1010, 1378, 2093, 540, 519, 2953, 1135, 640, 269, 769, 1010, 2070, 267, 2486, 1185, 7745, 1524, 607, 513, 1267, 540, 519, 3943, 7169, 563, 763, 7169, 729, 513, 1434, 3364, 1107, 519, 7169, 1185, 849, 1044, 2556, 1317, 519, 563, 9359, 4974, 24205, 3184, 476, 272, 269, 6258, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 9612, 563, 9526, 338, 593, 519, 2093, 1305, 676, 4864, 1290, 974, 267, 29464, 1975, 27247, 543, 2506, 850, 20736, 330, 8583, 543, 6212, 593, 519, 12550, 3344, 540, 1514, 1272, 269, 1346, 3344, 540, 1514, 1272, 602, 4806, 12250, 1646, 543, 723, 547, 798, 609, 269, 5980, 281, 634, 17943, 3848, 476, 272, 269, 2353, 519, 6863, 585, 3184, 476, 272, 538, 519, 21777, 7160, 563, 4306, 11070, 312, 269, 623, 6369, 312, 269, 15257, 269, 519, 9836, 1353, 540, 1480, 2486, 269, 2165, 1101, 1031, 676, 4864, 1290, 974, 269, 25349, 5133, 269, 519, 2027, 1448, 540, 2070, 540, 2486, 602, 12034, 2489, 3270, 540, 2486, 538, 519, 2729, 540, 1880, 1004, 1022, 1514, 4806, 602, 563, 321, 5802, 518, 4806, 540, 12250, 2242, 2966, 547, 1683, 4853, 476, 275, 4864, 324, 1290, 974, 543, 519, 15215, 540, 5274, 640, 1362, 898, 1131, 849, 585, 613, 6402, 547, 2021, 267, 19509, 526, 532, 538, 3288, 3185, 1889, 513, 3532, 5837, 2358, 538, 23807, 480, 340, 775, 554, 2416, 1729, 598, 16667, 2740, 1369, 519, 22686, 7622, 267, 585, 799, 15474, 15215, 1131, 1683, 267, 693, 2063, 267, 1813, 1747, 563, 14240, 540, 23694, 25159, 267, 17502, 1470, 10374, 11872, 267, 4065, 1656, 4317, 7827, 267, 24205, 1306, 3163, 267, 4065, 1656, 4317, 7827, 267, 4317, 12700, 6993, 1872, 755, 635, 974, 4806, 4632, 0, 299, 6756, 14520, 590, 7950, 14117, 25028, 1107, 12729, 9046, 6061, 454, 289, 22877, 513, 9046, 24626, 2336, 9616, 281, 476, 271, 270, 276, 630, 271, 4967, 264, 476, 31275, 1053, 454, 9743, 1192, 528, 4433, 2567, 681, 807, 534, 5918, 1773, 334, 1195, 454, 8310, 9337, 281, 476, 1708, 273, 268, 6860, 268, 2641, 454, 1432, 596, 3580, 1451, 454, 268, 6258, 1018, 513, 14117, 25028, 779, 1909, 568, 538, 606, 3919, 454, 268, 28161, 513, 4487, 693, 1966, 6061, 547, 3597, 2014, 454, 268, 28161, 606, 4274, 693, 9001, 2596, 1966, 6061, 2409, 971, 607, 519, 12551, 14752, 12810, 543, 476, 276, 3963, 779, 454, 268, 476, 3199, 260, 540, 2042, 538, 1022, 1870, 666, 581, 1151, 539, 676, 14117, 5617, 1206, 267, 693, 519, 2707, 540, 519, 3390, 454, 268, 3143, 840, 3146, 638, 28987, 2838, 267, 1175, 513, 2318, 10182, 267, 543, 513, 19818, 585, 5355, 563, 268, 11109, 5293, 6519, 25028, 1131, 581, 6225, 267, 855, 711, 513, 10421, 454, 8702, 547, 2052, 985, 738, 2274, 534, 14520, 590, 7950, 14117, 25028, 9751, 1107, 519, 2034, 1377, 540, 13995, 602, 13976, 2390, 519, 2596, 2035, 540, 2274, 534, 543, 14520, 590, 7950, 269, 2991, 3811, 12032, 540, 713, 1576, 267, 596, 786, 723, 519, 1983, 547, 2697, 543, 4194, 2042, 693, 519, 2707, 269, 1306, 513, 14117, 25028, 267, 596, 786, 581, 519, 1101, 1899, 540, 8878, 585, 519, 3919, 543, 786, 723, 519, 1983, 547, 1174, 2152, 267, 2697, 519, 3597, 2014, 543, 2936, 3435, 602, 2087, 2164, 543, 1711, 513, 1732, 9036, 269, 769, 1840, 547, 12729, 9046, 4149, 6295, 267, 596, 786, 723, 513, 3152, 1620, 540, 519, 2497, 543, 19325, 540, 2274, 534, 14520, 590, 7950, 3785, 269, 1411, 786, 723, 3152, 5813, 883, 519, 960, 540, 519, 5682, 25028, 5741, 24285, 543, 786, 581, 9280, 547, 7119, 607, 513, 11327, 12243, 16588, 593, 811, 1950, 5682, 25028, 3785, 563, 763, 1909, 540, 782, 5171, 538, 2274, 534, 14520, 590, 7950, 3785, 568, 547, 2087, 606, 3919, 269, 14847, 550, 14117, 5617, 1206, 666, 22937, 3063, 8424, 540, 3946, 543, 4064, 547, 2445, 1239, 543, 2709, 21295, 5813, 883, 875, 3157, 616, 2324, 269, 634, 14117, 25028, 1377, 568, 1141, 782, 2104, 14520, 590, 7950, 5682, 5617, 1206, 1205, 741, 1376, 269, 14117, 25028, 5171, 945, 1397, 15131, 543, 519, 19038, 3363, 585, 2274, 534, 14520, 590, 7950, 666, 3136, 2866, 607, 5682, 5617, 1206, 543, 666, 1287, 12492, 1256, 2362, 12966, 31213, 543, 3152, 6791, 952, 789, 3442, 547, 798, 865, 563, 8005, 713, 1576, 568, 585, 454, 268, 25175, 602, 1131, 899, 547, 1451, 811, 827, 2596, 855, 2500, 1966, 6061, 543, 519, 2553, 1031, 547, 2844, 3597, 2014, 7145, 563, 268, 15783, 9946, 602, 1131, 899, 547, 13557, 909, 741, 16056, 779, 454, 268, 25175, 945, 1131, 899, 547, 1377, 909, 543, 1831, 513, 6205, 538, 513, 1870, 610, 1175, 2333, 741, 1702, 827, 17848, 20531, 5811, 454, 268, 8080, 547, 519, 2052, 985, 738, 2274, 534, 14520, 590, 7950, 14117, 25028, 13995, 454, 268, 1548, 568, 513, 14117, 25028, 267, 543, 1946, 798, 713, 13995, 888, 268, 1548, 568, 14117, 25028, 543, 875, 798, 594, 946, 621, 888, 268, 589, 3376, 7650, 540, 519, 1062, 454, 268, 8249, 2877, 585, 713, 1576, 454, 268, 476, 272, 269, 2274, 534, 14520, 590, 7950, 14117, 25028, 2271, 549, 454, 268, 476, 273, 269, 2274, 534, 14520, 590, 7950, 14117, 25028, 32018, 454, 268, 476, 274, 269, 2274, 534, 14520, 590, 7950, 14117, 25028, 1107, 12729, 9046, 6061, 454, 268, 476, 275, 269, 2274, 534, 14520, 590, 7950, 14117, 25028, 1107, 19737, 519, 5741, 5800, 12859, 454, 268, 476, 276, 269, 2274, 534, 14520, 590, 7950, 14117, 25028, 1107, 634, 19113, 7563, 26094, 18888, 454, 268, 476, 277, 18502, 269, 2274, 534, 14520, 590, 7950, 14117, 25028, 1107, 634, 1912, 1162, 540, 667, 7246, 2975, 454, 268, 476, 277, 12500, 269, 2274, 534, 14520, 590, 7950, 14117, 25028, 1107, 634, 1912, 1162, 540, 667, 7246, 2975, 630, 273, 994, 268, 476, 278, 269, 3213, 2286, 609, 2052, 985, 738, 454, 268, 15937, 981, 585, 14117, 25028, 27872, 454, 11742, 6967, 610, 476, 1015, 18934, 338, 2451, 454, 347, 10673, 1406, 4413, 1022, 19420, 976, 676, 11836, 938, 1855, 5586, 1090, 1895, 347, 0, 763, 23068, 13852, 779, 30115, 568, 689, 519, 6426, 630, 21914, 6276, 4528, 2567, 968, 3682, 8010, 23068, 10801, 2353, 519, 8092, 772, 660, 334, 2353, 519, 769, 4725, 527, 1218, 23476, 1848, 901, 14235, 4016, 547, 519, 968, 297, 889, 850, 324, 5608, 610, 519, 5528, 547, 519, 25232, 547, 2132, 3959, 543, 1863, 10437, 1169, 476, 2004, 1296, 563, 3963, 568, 972, 513, 6426, 14235, 593, 519, 23068, 13852 ]

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

[ 2534, 267, 899, 22740, 1944, 519, 4887, 2281, 547, 7378, 563, 10303, 1863, 18119, 616, 865, 1455, 267, 513, 1268, 3340, 606, 6099, 3761, 540, 14434, 547, 6861, 873, 269, 3776, 1560, 781, 2281, 6923, 5352, 2178, 14434, 267, 899, 13672, 9067, 18757, 3679, 543, 22965, 987, 7748, 269, 1717, 267, 519, 3536, 649, 8532, 1683, 824, 14434, 267, 899, 8324, 595, 543, 661, 269, 12518, 616, 14095, 609, 7135, 1572, 20239, 12950, 338, 282, 1082, 849, 3100, 547, 4163, 15934, 4162, 269, 1280, 3236, 267, 1310, 6171, 595, 814, 26793, 513, 1863, 9097, 676, 23831, 9211, 547, 621, 267, 513, 20239, 12950, 1634, 607, 646, 4944, 699, 339, 514, 630, 30005, 538, 24453, 543, 824, 20521, 5613, 264, 1964, 2803, 6171, 595, 547, 922, 3742, 15934, 1106, 269, 769, 1840, 267, 25558, 523, 6950, 630, 3697, 11430, 19817, 2940, 538, 14274, 543, 561, 1393, 514, 538, 25989, 264, 543, 32064, 6950, 630, 3697, 7657, 534, 11169, 538, 23342, 267, 16320, 30662, 1231, 538, 30207, 267, 844, 2075, 564, 514, 538, 13212, 543, 19637, 267, 543, 524, 622, 577, 1231, 538, 3039, 7401, 264, 616, 849, 14434, 563, 24791, 595, 630, 2444, 12643, 545, 3679, 264, 568, 513, 8770, 938, 1560, 2115, 547, 1106, 1973, 8043, 267, 20162, 267, 4887, 267, 543, 20018, 538, 7633, 269, 12192, 595, 568, 849, 1898, 585, 938, 1560, 781, 7067, 1184, 269, 769, 1840, 267, 6171, 595, 568, 606, 15934, 602, 2337, 2149, 519, 2281, 540, 938, 1560, 1996, 519, 2360, 540, 1863, 18119, 269, 5131, 18119, 849, 1404, 513, 1909, 538, 2295, 2068, 267, 2860, 267, 543, 824, 3676, 563, 2026, 938, 1560, 1281, 711, 3132, 543, 4558, 6171, 595, 267, 649, 991, 547, 1205, 621, 689, 938, 2732, 5781, 269, 12192, 595, 568, 1459, 538, 20521, 5613, 267, 15708, 267, 12277, 267, 14274, 267, 18717, 267, 29761, 28667, 267, 22282, 267, 22648, 267, 543, 22156, 269, 12192, 595, 666, 849, 581, 3144, 607, 606, 5711, 7110, 267, 3335, 607, 29893, 543, 25261, 762, 14342, 269, 1717, 267, 1034, 1004, 1205, 6190, 6171, 595, 689, 513, 2635, 2732, 269, 12192, 595, 10638, 4386, 1034, 4122, 538, 519, 1739, 1004, 912, 17829, 945, 8673, 610, 616, 6534, 547, 2034, 8518, 8673, 563, 17829, 945, 723, 930, 16063, 2175, 610, 930, 2010, 540, 2860, 563, 17829, 945, 1246, 513, 11658, 2732, 602, 1281, 711, 5781, 2270, 5613, 543, 5388, 563, 5353, 3164, 6171, 595, 10638, 666, 2014, 1085, 584, 11803, 267, 3056, 547, 17350, 267, 11702, 14779, 267, 20015, 2358, 543, 4057, 10138, 7067, 563, 2252, 513, 1268, 5673, 593, 6171, 595, 9360, 585, 741, 2640, 267, 3226, 519, 15934, 3959, 267, 4063, 602, 519, 7110, 1522, 711, 11904, 519, 3169, 12434, 607, 6923, 1459, 14434, 538, 1426, 269, 634, 5227, 8192, 27108, 630, 305, 6395, 264, 540, 6171, 595, 568, 476, 3445, 8406, 585, 2937, 2367, 543, 476, 4037, 8406, 585, 2937, 2021, 563, 28074, 1382, 814, 1044, 2944, 593, 6171, 595, 585, 1978, 3676, 610, 2175, 269, 634, 1344, 568, 607, 5205, 912, 272, 269, 9435, 281, 3117, 11167, 513, 2732, 14095, 609, 5613, 543, 5388, 1522, 6175, 519, 1981, 540, 1896, 2010, 540, 2860, 267, 899, 6089, 267, 3935, 267, 543, 5761, 11871, 269, 1717, 267, 2436, 713, 8825, 1198, 568, 5532, 547, 6171, 595, 538, 519, 1426, 568, 711, 3982, 267, 607, 5711, 6171, 595, 9360, 798, 711, 2408, 547, 1683, 2147, 7443, 563, 273, 269, 5871, 12019, 281, 3117, 11167, 5711, 6171, 595, 9360, 1281, 711, 2061, 519, 1455, 4411, 269, 634, 2164, 540, 519, 2090, 849, 1397, 602, 519, 2640, 540, 5781, 2348, 6171, 595, 9360, 547, 6175, 519, 8653, 610, 10335, 540, 513, 4411, 616, 519, 2547, 563, 274, 269, 16685, 15302, 281, 17327, 6171, 595, 9360, 543, 824, 8324, 543, 6886, 2061, 2085, 5829, 31004, 23979, 630, 4456, 291, 264, 689, 29083, 269, 15742, 2090, 849, 2303, 602, 1004, 609, 2799, 2157, 540, 6171, 595, 538, 741, 11326, 723, 513, 8519, 4960, 540, 3384, 25942, 9711, 563, 24791, 595, 6411, 607, 513, 3532, 15934, 543, 2337, 538, 8165, 1996, 1863, 18119, 267, 799, 6382, 1291, 547, 1082, 5312, 543, 1272, 18446, 3676, 543, 2175, 269, 1717, 267, 621, 568, 811, 1271, 547, 11886, 922, 10421, 998, 519, 3232, 2732, 3079, 540, 4470, 593, 9360, 563, 8310, 12649, 693, 912, 4905, 4924, 476, 1708, 274, 910, 476, 275, 1295, 1224, 454, 4692, 6171, 595, 543, 13101, 2157, 581, 17468, 1510, 16069, 11581, 14011, 888, 5226, 2044, 281, 28982, 4387, 267, 3733, 7513, 6060, 568, 476, 1220, 271, 269, 1677, 2539, 621, 267, 594, 993, 2921, 9067, 23865, 11581, 14011, 543, 513, 1750, 331, 908, 8665, 547, 2569, 7513, 12074, 538, 16209, 269, 1809, 1250, 6171, 595, 543, 13101, 2157, 616, 25921, 4389, 269, 1215, 666, 594, 11177, 6171, 595, 543, 13101, 2157, 1510, 16069, 9067, 23865, 11581, 14011, 286, 3367, 9509, 19314, 24791, 595, 610, 1306, 322, 12643, 545, 18729, 4347, 11351, 454, 20684, 11137, 281, 12192, 595, 10638, 568, 606, 4761, 1062, 27780, 716, 532, 2783, 269, 7490, 1224, 519, 2376, 547, 917, 519, 2956, 540, 6171, 595, 267, 519, 31630, 540, 519, 10638, 267, 4791, 2934, 267, 543, 2359, 269, 3367, 9137, 454, 1432, 1772, 12192, 595, 286, 12192, 595, 630, 2444, 12643, 545, 3679, 264, 568, 513, 1216, 30320, 6171, 267, 513, 14984, 4227, 543, 15934, 8665, 602, 530, 1841, 1055, 543, 14014, 519, 1560, 689, 9190, 5563, 543, 6757, 1218, 269, 898, 568, 849, 1634, 607, 10841, 12643, 545, 3679, 543, 568, 513, 14984, 28166, 540, 681, 5308, 630, 516, 5562, 5135, 2249, 1040, 18766, 689, 1033, 334, 1862, 3367, 9137, 454, 19522, 547, 16473, 543, 6164, 4790, 11692, 454, 20684, 11137, 281, 4790, 11692, 568, 950, 22454, 568, 2182, 543, 2352, 547, 1780, 269, 3776, 2732, 543, 6197, 616, 5631, 547, 16620, 585, 19228, 269, 3367, 519, 2376, 547, 917, 827, 2081, 547, 1521, 543, 2061, 713, 2783, 269, 3367, 9137, 454, 302, 9405, 547, 938, 646, 8157, 8430, 543, 4657, 6197, 267, 519, 2732, 540, 519, 2413, 5108, 814, 4957, 513, 2603, 689, 2757, 1753, 2275, 10541, 1426, 547, 3728, 543, 10375, 3536, 269, 19759, 569, 267, 891, 13418, 543, 4712, 3562, 3887, 520, 3536, 616, 28119, 538, 6775, 1317, 540, 799, 1082, 2043, 19951, 616, 7092, 8389, 1862, 3367, 9137, 454, 7197, 15019, 15080, 454, 2710, 596, 723, 513, 2243, 593, 12192, 595, 610, 5131, 7101, 673, 661, 2784, 1709, 286, 16485, 606, 4274, 6732, 0, 291, 18510, 9590, 281, 2622, 1401, 1842, 723, 513, 1279, 543, 3879, 686, 748, 2250, 267, 711, 2547, 585, 741, 9434, 7418, 547, 4683, 1236, 2643, 1149, 543, 11265, 1158, 23867, 338, 269, 634, 661, 858, 601, 18975, 543, 9628, 779, 12113, 5142, 24747, 616, 1079, 540, 519, 1034, 25992, 1806, 563, 8601, 971, 8628, 7418, 267, 1163, 657, 723, 6140, 1044, 10151, 2621, 267, 609, 14969, 533, 822, 559, 687, 8204, 2477, 689, 1169, 7944, 540, 519, 1158, 585, 513, 3908, 942, 267, 1152, 547, 581, 796, 576, 516, 3000, 13124, 6569, 693, 519, 1439, 540, 519, 8653, 563, 2419, 8522, 3710, 606, 3003, 10151, 2749, 538, 6264, 29724, 11665, 673, 2511, 585, 922, 1163, 334, 538, 476, 6245, 274, 269, 634, 4583, 6519, 4975, 6038, 3177, 24990, 609, 513, 29685, 585, 2104, 2208, 2443, 2705, 267, 519, 5656, 2933, 941, 711, 17477, 563, 1607, 814, 1044, 513, 1455, 2239, 540, 2622, 1401, 1842, 267, 609, 533, 822, 559, 542, 3889, 2901, 30694, 610, 10032, 26063, 563, 8253, 865, 538, 29903, 269, 634, 5890, 334, 476, 1708, 271, 12180, 12233, 814, 2966, 519, 3135, 547, 1331, 513, 6131, 533, 822, 559, 542, 585, 1142, 4182, 267, 538, 1840, 547, 824, 10283, 3906, 267, 799, 616, 5497, 547, 2611, 1279, 1310, 519, 2680, 14405, 547, 513, 2673, 563, 21132, 3209, 1523, 814, 8507, 538, 811, 982, 476, 1220, 533, 822, 559, 687, 2066, 513, 3135, 7466, 519, 2450, 540, 3933, 23147, 267, 519, 19988, 2749, 1533, 593, 519, 3943, 681, 643, 1512, 320, 563, 763, 3135, 568, 5258, 883, 1614, 968, 339, 11490, 13102, 892, 602, 11604, 519, 1016, 2389, 1335, 525, 540, 519, 2680, 281, 20885, 267, 10688, 543, 4316, 563, 5278, 540, 519, 533, 822, 559, 687, 723, 1044, 2966, 543, 3710, 676, 10283, 2477, 267, 15386, 741, 1378, 3084, 6189, 543, 6272, 267, 1247, 1866, 19582, 13387, 5656, 19632, 676, 519, 3984, 563, 6624, 6259, 2477, 723, 3710, 741, 1378, 533, 822, 559, 687, 543, 2322, 8101, 2200, 543, 4674, 883, 741, 1646, 630, 5976, 6351, 689, 519, 32329, 267, 538, 1978, 2665, 1916, 5472, 13323, 29046, 7027, 4759, 2477, 2443, 607, 1134, 607, 25448, 267, 27988, 807, 267, 26288, 267, 21157, 543, 5527, 267, 1851, 1866, 2443, 723, 1582, 32472, 533, 822, 559, 687, 563, 6624, 540, 891, 616, 538, 519, 31621, 10588, 267, 609, 6305, 6753, 2673, 547, 519, 32329, 543, 18142, 533, 822, 559, 687, 563, 7712, 713, 568, 519, 1101, 1163, 334, 547, 581, 18799, 676, 513, 5664, 8109, 2197, 267, 6259, 2829, 723, 15504, 856, 782, 519, 13515, 547, 1118, 741, 1665, 593, 519, 2680, 563, 19425, 3538, 675, 2066, 519, 3135, 16621, 1082, 2609, 540, 2757, 12428, 1374, 267, 855, 519, 2949, 12705, 568, 5310, 711, 607, 11617, 23887, 607, 9628, 779, 6519, 4975, 1131, 723, 1044, 563, 10376, 2197, 10283, 538, 5890, 334, 476, 1708, 271, 29903, 814, 1044, 2016, 519, 5191, 547, 3142, 538, 922, 1378, 2189, 1374, 267, 609, 6237, 18953, 971, 607, 24775, 1740, 267, 1330, 1399, 1841, 543, 12094, 3889, 4294, 2429, 563, 763, 1267, 568, 513, 5542, 540, 1379, 2685, 1367, 533, 822, 559, 687, 2966, 547, 7001, 8436, 685, 1719, 563, 288, 4599, 533, 822, 559, 542, 6272, 543, 741, 2404, 6189, 666, 581, 17618, 3989, 607, 9991, 883, 1079, 13122, 281, 12465, 2943, 5499, 267, 609, 606, 8561, 593, 1686, 543, 2528, 282, 543, 519, 22192, 543, 6427, 633, 267, 609, 606, 8561, 593, 519, 7493, 543, 8097, 563, 293, 16226, 883, 519, 5449, 7121, 568, 27988, 807, 779, 533, 822, 559, 542, 267, 1110, 8215, 593, 519, 16629, 321, 1695, 630, 31842, 12818, 264, 540, 922, 3854, 13641, 4536, 563, 1103, 513, 12162, 547, 519, 3984, 2749, 267, 519, 11599, 4544, 543, 3043, 29984, 540, 13641, 4536, 814, 1044, 21775, 585, 9390, 18707, 563, 763, 1374, 540, 519, 533, 822, 559, 542, 8100, 2757, 27988, 1014, 2511, 267, 609, 606, 9703, 1330, 1399, 731, 543, 1374, 2609, 547, 11694, 2011, 2095, 563, 4407, 519, 533, 822, 559, 542, 779, 9703, 1330, 1399, 731, 2488, 513, 9602, 6870, 2230, 267, 519, 1795, 1228, 568, 13497, 18935, 1242, 609, 6272, 23401, 2757, 7137, 828, 21003, 657, 563, 9827, 30939, 519, 2757, 3917, 564, 2987, 2617, 894, 3786, 568, 918, 17703, 7159, 779, 533, 822, 559, 542, 267, 606, 3750, 2275, 10248, 4154, 2497, 538, 519, 20885, 10588, 267, 7587, 5024, 519, 13323, 10806, 779, 1034, 16529, 1163, 334, 9295, 547, 4266, 563, 763, 1374, 859, 10280, 519, 14498, 540, 519, 9390, 267, 609, 3381, 540, 4342, 1564, 543, 12902, 5070, 546, 17480, 10268, 593, 1804, 5007, 13819, 563, 17806, 3293, 4154, 16538, 8440, 1106, 513, 2413, 1491, 593, 922, 9390, 14099, 269, 769, 519, 4099, 540, 519, 533, 822, 559, 542, 568, 513, 12093, 540, 513, 2199, 1216, 13486, 267, 1031, 585, 519, 5726, 540, 2067, 2200, 563, 5194, 540, 519, 2757, 1235, 568, 25448, 267, 799, 16668, 6667, 585, 922, 533, 822, 559, 542, 689, 922, 29271, 552, 691, 1156, 14252, 563, 4263, 476, 4097, 7397, 538, 4463, 267, 3262, 2066, 5722, 19683, 267, 621, 568, 1851, 519, 32399, 5656, 693, 519, 1163, 334, 563, 763, 1795, 1228, 729, 3710, 1210, 15155, 4364, 268, 24160, 4070, 2409, 267, 1455, 547, 25448, 543, 20244, 4264, 607, 519, 5394, 552, 691, 1156, 6821, 1832, 519, 2011, 3330, 3579, 563, 763, 11623, 616, 11231, 1472, 513, 3844, 1330, 1399, 731, 267, 2347, 609, 16304, 10651, 543, 824, 5513, 2373, 547, 21185, 4754, 4525, 543, 8134, 563, 302, 2006, 267, 1932, 267, 17188, 4630, 720, 547, 922, 2757, 5072, 609, 513, 1445, 593, 519, 3504, 18367, 4532, 1619, 3529, 267, 5065, 547, 20144, 1993, 541, 17294, 622, 563, 763, 16538, 20998, 519, 3529, 267, 609, 3638, 17208, 18367, 4532, 1619, 20832, 602, 2838, 1079, 547, 1614, 1296, 547, 1711, 2523, 585, 519, 1163, 334, 563, 302, 2006, 849, 814, 1851, 519, 1034, 3860, 21233, 2833, 267, 609, 18367, 4532, 1619 ]

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

[ 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 5149, 476, 277, 281, 16334, 262, 600, 531, 520, 538, 9099, 4521, 692, 7072, 692, 300, 340, 262, 600, 531, 520, 267, 1419, 12261, 607, 1412, 10520, 13905, 10086, 4016, 547, 513, 3376, 7121, 540, 1480, 4205, 18170, 676, 9099, 10883, 1440, 28619, 630, 25206, 336, 327, 1040, 1452, 8852, 7854, 1585, 3344, 540, 3232, 1272, 267, 1519, 1870, 4308, 902, 267, 3959, 9562, 267, 7365, 267, 18472, 267, 543, 824, 14375, 3347, 269, 901, 1770, 786, 5490, 883, 519, 3741, 5817, 18665, 262, 600, 531, 520, 267, 6313, 922, 2959, 267, 1883, 2035, 267, 4720, 267, 543, 4207, 6286, 1369, 9099, 1876, 269, 1635, 3695, 891, 3584, 998, 513, 13857, 7828, 267, 649, 2832, 547, 6536, 513, 4514, 7071, 585, 519, 6988, 543, 4763, 7915, 538, 9099, 3656, 5389, 780, 306, 1545, 540, 16334, 262, 600, 531, 520, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1739, 568, 513, 16823, 2022, 676, 1230, 22448, 9652, 267, 513, 9972, 3656, 1382, 25566, 693, 519, 4521, 7732, 540, 6837, 269, 1230, 22448, 814, 5892, 2854, 9708, 593, 606, 2680, 543, 2404, 1382, 3391, 1644, 547, 16627, 540, 4914, 1876, 267, 835, 540, 938, 5274, 7126, 4303, 2621, 267, 543, 1216, 2924, 693, 10060, 6816, 269, 2701, 849, 24973, 5206, 513, 2022, 827, 513, 4521, 7732, 1867, 593, 32270, 4031, 538, 3979, 2477, 563, 26576, 545, 1876, 607, 513, 1641, 568, 1134, 2275, 2642, 538, 519, 10070, 540, 519, 7732, 540, 6837, 267, 609, 936, 476, 1015, 267, 1822, 10643, 538, 513, 3099, 540, 4654, 269, 769, 2296, 4805, 267, 972, 616, 936, 476, 272, 267, 12010, 1568, 602, 616, 28025, 610, 14356, 13991, 547, 4901, 540, 9099, 1876, 267, 609, 1007, 23937, 547, 519, 4015, 7683, 21945, 269, 769, 1840, 267, 2638, 856, 513, 3105, 2022, 547, 713, 5816, 676, 570, 926, 336, 13259, 24703, 267, 9099, 4521, 538, 9031, 1107, 6820, 13751, 14635, 4400, 7547, 630, 13356, 269, 476, 2190, 267, 476, 1001, 274, 1070, 585, 1344, 593, 519, 7732, 779, 2835, 593, 713, 2460, 540, 9031, 328, 1876, 563, 2690, 513, 2487, 15853, 1788, 267, 594, 16432, 513, 1592, 540, 1568, 538, 2296, 267, 533, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 340, 262, 600, 531, 520, 257, 607, 851, 540, 834, 30311, 1315, 9099, 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, 6637, 476, 277, 281, 634, 5295, 540, 14313, 910, 4197, 2983, 641, 29176, 998, 674, 12302, 27884, 692, 5331, 596, 616, 513, 3532, 8098, 12637, 538, 5279, 540, 7863, 707, 2197, 781, 23795, 543, 7297, 269, 1411, 3494, 602, 707, 4182, 19262, 811, 2463, 543, 3310, 936, 922, 4478, 15798, 269, 901, 3661, 5012, 596, 547, 1020, 513, 1007, 1259, 540, 3206, 827, 875, 707, 2197, 13333, 1369, 1346, 10665, 269, 3767, 4952, 952, 707, 2856, 2968, 513, 4641, 256, 901, 3184, 786, 2263, 875, 513, 1483, 3734, 17189, 11464, 781, 14985, 6273, 721, 547, 1711, 513, 14070, 1650, 1305, 538, 6239, 5607, 269, 1284, 786, 849, 1451, 827, 2413, 1143, 538, 29069, 1731, 3332, 543, 4983, 1946, 1620, 891, 2035, 6927, 547, 782, 540, 721, 780, 4131, 781, 1376, 676, 1565, 1018, 513, 1412, 4777, 551, 9068, 262, 1797, 269, 589, 14985, 666, 3274, 581, 2219, 540, 607, 513, 13057, 6240, 610, 6138, 602, 2337, 1004, 1174, 741, 3853, 543, 3527, 1732, 269, 1280, 1383, 267, 595, 655, 717, 6686, 6113, 523, 714, 267, 5189, 11894, 781, 834, 23325, 13067, 14657, 257, 14985, 1107, 799, 11363, 11894, 781, 1379, 543, 4527, 538, 519, 11335, 7256, 269, 3571, 2093, 3366, 1864, 547, 1831, 513, 7986, 4137, 538, 3486, 1894, 780, 3086, 1577, 781, 1589, 827, 875, 649, 1223, 4019, 971, 513, 1523, 547, 1776, 851, 540, 519, 1158, 269, 14597, 649, 1445, 593, 6239, 7489, 2477, 899, 29069, 1731, 6017, 267, 918, 10455, 4445, 345, 16330, 267, 27782, 16330, 267, 772, 345, 31990, 6017, 267, 543, 12395, 5443, 6017, 269, 1452, 6082, 2671, 1082, 3140, 4296, 855, 2611, 2189, 538, 1893, 267, 5389, 267, 543, 2797, 1949, 269, 16393, 789, 1932, 4324, 689, 2348, 513, 3838, 5075, 286, 1548, 1522, 602, 1413, 899, 2496, 2414, 2626, 891, 2055, 267, 1577, 781, 2490, 547, 5708, 256, 5994, 1079, 15231, 2477, 1572, 570, 3120, 330, 807, 543, 10609, 1794, 574, 269, 1358, 1419, 8044, 936, 1216, 2959, 1317, 1312, 7048, 8185, 593, 12555, 585, 6683, 269, 1677, 8207, 741, 7526, 25678, 267, 649, 6338, 513, 8797, 6205, 3957, 5689, 11986, 945, 2501, 909, 609, 513, 13085, 1544, 269, 2701, 23083, 2870, 513, 4745, 14643, 3743, 585, 5883, 543, 4687, 2200, 1063, 570, 3120, 330, 807, 543, 10609, 1794, 574, 269, 1635, 2324, 1927, 267, 1352, 11099, 602, 1312, 2477, 666, 8853, 17215, 1247, 8497, 741, 1604, 780, 1607, 3070, 14405, 6667, 689, 519, 3864, 5742, 781, 2359, 540, 1098, 20129, 776, 8933, 899, 519, 8355, 4209, 269, 1717, 267, 3079, 540, 1804, 29904, 20874, 267, 5689, 11986, 6212, 593, 29065, 5698, 1851, 2950, 2713, 2059, 519, 5757, 3316, 802, 269, 4173, 5499, 1505, 2982, 875, 1256, 1507, 2242, 666, 1291, 547, 1713, 9283, 950, 11461, 676, 3860, 3206, 780, 3719, 1141, 1281, 2413, 1143, 3514, 883, 782, 713, 286, 4270, 267, 2413, 1143, 4016, 547, 513, 2686, 3350, 602, 3459, 1472, 519, 3735, 476, 866, 628, 2540, 269, 4706, 1292, 3804, 729, 547, 2736, 2476, 689, 2757, 2418, 543, 4978, 547, 9784, 1007, 2081, 540, 11589, 13951, 7376, 1227, 267, 6457, 1302, 267, 543, 13998, 269, 1879, 4294, 547, 3332, 267, 2413, 1143, 7512, 17634, 609, 1106, 267, 2511, 267, 543, 4798, 780, 1103, 938, 2013, 267, 29069, 1731, 5830, 1282, 8168, 2053, 941, 27209, 689, 7234, 6214, 16175, 1813, 547, 24890, 4031, 269, 1306, 513, 1267, 267, 789, 1031, 14336, 5566, 2984, 543, 23199, 547, 10404, 1125, 1514, 2152, 5705, 569, 269, 3776, 9661, 540, 570, 3120, 330, 807, 543, 10609, 1794, 574, 13976, 2390, 713, 2245, 676, 1210, 2609, 540, 9589, 17779, 12544, 5339, 9135, 9256, 10853, 5468, 609, 30642, 610, 28531, 2609, 269, 3414, 713, 4480, 267, 649, 4126, 547, 8141, 7279, 1851, 3988, 827, 1950, 3584, 899, 2520, 641, 29176, 543, 4199, 2359, 780, 3383, 1946, 1058, 1647, 30595, 1416, 827, 1022, 540, 713, 286, 5221, 1620, 1114, 5380, 543, 2994, 2636, 873, 547, 4497, 9691, 609, 519, 1158, 1472, 873, 269, 1635, 3695, 1483, 8996, 7653, 998, 2502, 6386, 267, 649, 5000, 5876, 267, 6568, 267, 543, 1966, 9010, 1983, 1898, 585, 10188, 1272, 781, 2591, 269, 9578, 267, 18167, 883, 1585, 4529, 543, 12583, 3376, 839, 20030, 543, 11942, 7071, 585, 3309, 10080, 543, 2833, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 290, 655, 717, 6686, 6113, 523, 714, 568, 519, 2247, 3297, 835, 540, 519, 1034, 1104, 534, 23786, 29625, 1373, 513, 680, 1221, 693, 519, 4090, 282, 11894, 21485, 338, 9791, 13067, 14657, 1684, 551, 9068, 269, 717, 6686, 6113, 523, 714, 814, 1044, 15469, 547, 519, 7584, 540, 681, 792, 31288, 630, 12294, 28451, 264, 538, 476, 1220, 275, 543, 5580, 28451, 538, 476, 1220, 279, 269, 1261, 6039, 607, 12751, 540, 519, 15613, 4972, 543, 1287, 607, 12751, 540, 519, 12697, 543, 24727, 10406, 693, 519, 15349, 25220, 17086, 10361, 18392, 269, 1261, 814, 6039, 607, 2155, 6387, 540, 519, 2549, 874, 756, 1190, 590, 4721, 543, 14086, 18307, 564, 6828, 689, 476, 1220, 278, 547, 476, 1220, 280, 269, 1261, 19622, 538, 476, 1001, 273, 269, 1261, 8547, 519, 594, 30955, 25391, 9809, 2160, 31845, 17072, 538, 476, 1001, 276, 269, 1261, 1869, 5713, 607, 10615, 540, 519, 31845, 17072, 269, 1261, 568, 513, 6241, 626, 540, 513, 11356, 593, 17535, 2152, 543, 2278, 540, 5216, 2835, 1644, 547, 17535, 4640, 267, 17535, 1686, 543, 2528, 269, 2372, 1460, 1774, 31248, 723, 1185, 519, 4378, 719, 547, 723, 513, 3178, 6643, 609, 835, 540, 519, 1034, 1271, 2054, 1235, 538, 519, 2518, 26750, 563, 32091, 595, 655, 267, 9684, 596, 1360, 1454, 585, 11504, 938, 7662, 267, 621, 568, 606, 22632, 547, 723, 713, 6643, 609, 596, 563, 1692, 1131, 596, 1163, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 2622, 9085, 1315, 6239, 5607, 1315, 29069, 1731, 7073, 626, 11470, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]

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

[ 1820, 3488, 29848, 265, 8660, 277, 815, 476, 28091, 275, 2190, 5073, 825, 952, 1003, 272, 2652, 476, 29848, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 278, 912, 1038, 1820, 3488, 29848, 265, 8660, 278, 815, 476, 28091, 278, 1240, 5073, 825, 952, 1003, 272, 2652, 476, 29848, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7176, 912, 1038, 1820, 3488, 29848, 265, 279, 7176, 815, 476, 25784, 23713, 5073, 825, 952, 1003, 272, 2652, 476, 29848, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4200, 912, 1038, 1820, 3488, 29848, 265, 279, 4200, 815, 476, 25784, 27420, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 25616, 912, 1038, 1820, 3488, 27768, 265, 25616, 815, 476, 7742, 16020, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 272, 912, 1038, 1820, 3488, 27768, 265, 5952, 272, 815, 476, 25172, 271, 3393, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 273, 912, 1038, 1820, 3488, 27768, 265, 5952, 273, 815, 476, 25172, 22430, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 274, 912, 1038, 1820, 3488, 27768, 265, 5952, 274, 815, 476, 25172, 277, 3374, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 275, 912, 1038, 1820, 3488, 27768, 265, 5952, 275, 815, 476, 25172, 280, 1789, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4649, 912, 1038, 1820, 3488, 27768, 265, 279, 4649, 815, 476, 21857, 18597, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 277, 912, 1038, 1820, 3488, 27768, 265, 5952, 277, 815, 476, 21857, 26392, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 278, 912, 1038, 1820, 3488, 27768, 265, 5952, 278, 815, 476, 21857, 279, 1428, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 279, 912, 1038, 1820, 3488, 27768, 265, 5952, 279, 815, 476, 26562, 8099, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 280, 912, 1038, 1820, 3488, 27768, 265, 5952, 280, 815, 476, 26562, 28147, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 2568, 912, 1038, 1820, 3488, 27768, 265, 279, 2568, 815, 476, 26562, 10384, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 8618, 912, 1038, 1820, 3488, 27768, 265, 279, 8618, 815, 476, 26562, 4200, 276, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7830, 912, 1038, 1820, 3488, 27768, 265, 279, 7830, 815, 476, 22724, 23310, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 8287, 912, 1038, 1820, 3488, 27768, 265, 279, 8287, 815, 476, 22724, 276, 5952, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 5038, 912, 1038, 1820, 3488, 27768, 265, 279, 5038, 815, 476, 22724, 279, 3199, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4792, 912, 1038, 1820, 3488, 27768, 265, 279, 4792, 815, 476, 14838, 11260, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 5780, 912, 1038, 1820, 3488, 27768, 265, 279, 5780, 815, 476, 14838, 30420, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 6858, 912, 1038, 1820, 3488, 27768, 265, 279, 6858, 815, 476, 14838, 278, 4792, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 6924, 912, 1038, 1820, 3488, 27768, 265, 279, 6924, 815, 476, 16348, 271, 2568, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7597, 912, 1038, 1820, 3488, 27768, 265, 279, 7597, 815, 476, 16348, 28307, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 3583, 912, 1038, 1820, 3488, 27768, 265, 279, 3583, 815, 476, 16348, 20981, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 9262, 272, 912, 1038, 1820, 3488, 27768, 265, 9262, 272, 815, 476, 16348, 280, 3393, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7761, 912, 1038, 1820, 3488, 27768, 265, 279, 7761, 815, 476, 27038, 13301, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 9262, 274, 912, 1038, 1820, 3488, 27768, 265, 9262, 274, 815, 476, 27038, 276, 3374, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 9262, 275, 912, 1038, 1820, 3488, 27768, 265, 9262, 275, 815, 476, 27038, 279, 1789, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4037, 912, 1038, 1820, 3488, 27768, 265, 279, 4037, 815, 476, 28670, 10219, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 9262, 277, 912, 1038, 1820, 3488, 27768, 265, 9262, 277, 815, 476, 28670, 22213, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 6507, 912, 1038, 1820, 3488, 27768, 265, 279, 6507, 815, 476, 28670, 278, 1428, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4281, 912, 1038, 1820, 3488, 27768, 265, 279, 4281, 815, 476, 28796, 18089, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 8064, 912, 1038, 1820, 3488, 27768, 265, 279, 8064, 815, 476, 28796, 25134, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 3199, 912, 1038, 1820, 3488, 27768, 265, 279, 3199, 815, 476, 28796, 7785, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 272, 912, 1038, 1820, 3488, 27768, 265, 6434, 272, 815, 476, 28796, 279, 4817, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 273, 912, 1038, 1820, 3488, 27768, 265, 6434, 273, 815, 476, 18605, 5002, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 274, 912, 1038, 1820, 3488, 27768, 265, 6434, 274, 815, 476, 18605, 4366, 276, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 275, 912, 1038, 1820, 3488, 27768, 265, 6434, 275, 815, 476, 18605, 278, 3199, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 5952, 912, 1038, 1820, 3488, 27768, 265, 279, 5952, 815, 476, 28360, 271, 4037, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 277, 912, 1038, 1820, 3488, 27768, 265, 6434, 277, 815, 476, 28360, 24907, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 278, 912, 1038, 1820, 3488, 27768, 265, 6434, 278, 815, 476, 28360, 277, 4792, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 31229, 912, 1038, 1820, 3488, 27768, 265, 31229, 815, 476, 28360, 31634, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 6434, 280, 912, 1038, 1820, 3488, 27768, 265, 6434, 280, 815, 476, 26783, 14838, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 3445, 912, 1038, 1820, 3488, 27768, 265, 279, 3445, 815, 476, 26783, 20862, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 272, 912, 1038, 1820, 3488, 27768, 265, 8660, 272, 815, 476, 26783, 279, 3393, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 273, 912, 1038, 1820, 3488, 27768, 265, 8660, 273, 815, 476, 28091, 9610, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 274, 912, 1038, 1820, 3488, 27768, 265, 8660, 274, 815, 476, 28091, 31973, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 275, 912, 1038, 1820, 3488, 27768, 265, 8660, 275, 815, 476, 28091, 278, 1789, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4817, 912, 1038, 1820, 3488, 27768, 265, 279, 4817, 815, 476, 25784, 28276, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 277, 912, 1038, 1820, 3488, 27768, 265, 8660, 277, 815, 476, 25784, 17168, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 8660, 278, 912, 1038, 1820, 3488, 27768, 265, 8660, 278, 815, 476, 25784, 277, 1428, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 7176, 912, 1038, 1820, 3488, 27768, 265, 279, 7176, 815, 476, 25784, 280, 1015, 5073, 825, 952, 1003, 272, 2652, 476, 27768, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4200, 912, 1038, 1820, 3488, 27768, 265, 279, 4200, 815, 476, 25228, 13078, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 25616, 912, 1038, 1820, 3488, 30640, 265, 25616, 815, 476, 25172, 7785, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 272, 912, 1038, 1820, 3488, 30640, 265, 5952, 272, 815, 476, 25172, 8660, 277, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 273, 912, 1038, 1820, 3488, 30640, 265, 5952, 273, 815, 476, 21857, 4572, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 274, 912, 1038, 1820, 3488, 30640, 265, 5952, 274, 815, 476, 21857, 4366, 279, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 275, 912, 1038, 1820, 3488, 30640, 265, 5952, 275, 815, 476, 21857, 4281, 275, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 4649, 912, 1038, 1820, 3488, 30640, 265, 279, 4649, 815, 476, 26562, 24699, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 277, 912, 1038, 1820, 3488, 30640, 265, 5952, 277, 815, 476, 26562, 4391, 277, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 278, 912, 1038, 1820, 3488, 30640, 265, 5952, 278, 815, 476, 26562, 6858, 273, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 279, 912, 1038, 1820, 3488, 30640, 265, 5952, 279, 815, 476, 26562, 280, 6924, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 5952, 280, 912, 1038, 1820, 3488, 30640, 265, 5952, 280, 815, 476, 22724, 25784, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 2568, 912, 1038, 1820, 3488, 30640, 265, 279, 2568, 815, 476, 22724, 28794, 5073, 825, 952, 1003, 272, 2652, 476, 30640, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 279, 8618, 912, 1038, 1820, 3488, 30640, 265, 279, 8618, 815, 476, 22724 ]

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

[ 623, 787, 528, 589, 630, 1960, 279, 264, 634, 10072, 543, 11837, 540, 2068, 4187, 1387, 9233, 538, 22959, 269, 20703, 269, 7233, 5336, 2222, 2041, 3955, 716, 269, 476, 1556, 281, 476, 280, 6924, 1700, 7818, 15434, 1067, 670, 295, 630, 3422, 278, 264, 7233, 10466, 543, 2622, 30495, 13870, 269, 623, 4148, 11961, 839, 577, 583, 345, 715, 778, 5341, 1084, 7345, 518, 630, 653, 476, 276, 2190, 1040, 30495, 10466, 27545, 267, 1546, 696, 269, 540, 10787, 17754, 325, 629, 686, 5287, 7345, 518, 17985, 267, 22676, 330, 639, 523, 1546, 31864, 623, 297, 14875, 630, 1960, 278, 264, 11202, 4094, 1285, 597, 18834, 543, 2030, 4187, 281, 513, 1883, 1909, 585, 6284, 269, 12367, 7233, 2233, 269, 476, 273, 281, 476, 3393, 273, 1700, 3393, 279, 29439, 10102, 631, 630, 4198, 277, 264, 1546, 5060, 16702, 1562, 562, 7572, 17156, 14193, 678, 714, 546, 753, 682, 20918, 23759, 1735, 1107, 623, 778, 344, 10972, 680, 2670, 610, 344, 345, 2801, 8381, 5336, 1783, 267, 623, 778, 2643, 2684, 639, 838, 269, 3413, 269, 561, 1872, 839, 10753, 1168, 269, 24695, 339, 9332, 4471, 6261, 1506, 339, 2684, 1301, 269, 476, 276, 281, 476, 11820, 1700, 14138, 12603, 25632, 22804, 1299, 17312, 23834, 630, 2735, 275, 264, 1323, 12105, 543, 4294, 5133, 540, 5521, 1979, 8040, 269, 7788, 340, 269, 4860, 269, 9980, 558, 565, 269, 476, 3066, 281, 476, 5325, 272, 1700, 27843, 667, 933, 1731, 520, 594, 267, 7937, 332, 670, 267, 5839, 298, 20044, 773, 590, 267, 4793, 1562, 517, 674, 267, 18095, 1258, 590, 1299, 13158, 743, 858, 324, 681, 630, 1960, 275, 264, 5948, 540, 513, 5027, 15262, 609, 646, 1087, 1014, 8038, 4187, 5444, 670, 280, 538, 10568, 269, 634, 528, 269, 10331, 269, 2637, 564, 269, 476, 8660, 281, 476, 280, 5038, 1700, 280, 6924, 667, 933, 1731, 520, 594, 267, 7937, 332, 670, 267, 4793, 1562, 517, 674, 1299, 18095, 1258, 590, 630, 1960, 278, 264, 22384, 540, 681, 4338, 291, 12508, 585, 476, 1556, 646, 1087, 1014, 8038, 4187, 6090, 538, 10568, 269, 634, 528, 269, 10331, 269, 2637, 564, 269, 476, 11463, 281, 476, 275, 866, 1700, 275, 2537, 14174, 302, 1107, 5253, 543, 16581, 25944, 630, 1960, 280, 264, 17985, 4629, 4306, 2969, 281, 6176, 3590, 593, 5253, 543, 11982, 269, 14174, 302, 267, 7507, 22513, 18372, 16777, 630, 3422, 273, 264, 8556, 13577, 1867, 540, 519, 10615, 540, 11982, 585, 476, 3422, 271, 630, 653, 269, 476, 14225, 1700, 21172, 1040, 9980, 558, 1108, 10406, 267, 2051, 558, 2692, 267, 9919, 14125, 3171, 340, 32576, 595, 267, 5576, 12329, 16673, 337, 717, 1299, 918, 11839, 645, 630, 1960, 278, 264, 17449, 28295, 540, 513, 1007, 13805, 6438, 32635, 5444, 23876, 693, 700, 337, 1015, 2068, 4187, 30580, 540, 10568, 269, 7233, 808, 269, 476, 1556, 281, 476, 3393, 1700, 7367, 7579, 670, 295, 630, 3192, 272, 264, 7351, 4567, 540, 519, 5444, 16519, 24932, 324, 1523, 269, 7788, 340, 269, 4860, 269, 24695, 9008, 987, 565, 269, 476, 280, 281, 476, 22550, 1700, 30640, 4813, 639, 2129, 11536, 267, 24051, 3832, 1777, 808, 295, 267, 4563, 654, 290, 10001, 1299, 26573, 808, 297, 630, 1960, 277, 264, 11557, 5532, 18472, 540, 2205, 18834, 1996, 10568, 4187, 5444, 670, 280, 538, 519, 670, 612, 1014, 8038, 630, 291, 760, 614, 320, 281, 595, 1815, 573, 3912, 328, 13160, 1040, 7788, 340, 269, 9980, 558, 565, 269, 17502, 269, 589, 1067, 269, 476, 8660, 281, 476, 275, 2764, 1700, 275, 4097, 11829, 684, 681, 299, 630, 3192, 279, 264, 21834, 540, 1979, 8040, 645, 543, 595, 540, 519, 670, 612, 1014, 8038, 269, 7788, 340, 269, 9980, 558, 565, 269, 17502, 269, 589, 1067, 269, 476, 10170, 281, 476, 4366, 272, 1700, 4366, 277, 11829, 684, 681, 299, 1299, 24051, 3832, 1777, 808, 295, 630, 3422, 280, 264, 18726, 2963, 540, 17594, 540, 15954, 538, 519, 670, 612, 1014, 8038, 269, 7788, 340, 269, 9980, 558, 565, 269, 17502, 269, 589, 1067, 269, 476, 8287, 281, 476, 9610, 271, 1700, 9610, 278, 717, 1177, 601, 27359, 1299, 19258, 27451, 8028, 630, 1960, 274, 264, 10886, 1436, 540, 3604, 1063, 3043, 1922, 15533, 1210, 681, 4338, 291, 6261, 10135, 269, 24538, 20703, 269, 22776, 269, 476, 273, 281, 476, 3451, 1700, 4343, 28711, 29172, 267, 24051, 3832, 1777, 808, 295, 1299, 681, 879, 653, 654, 297, 630, 2735, 278, 264, 26537, 23865, 11837, 540, 646, 1087, 1014, 8038, 1107, 4187, 5444, 670, 1724, 538, 519, 667, 11646, 540, 10568, 269, 808, 269, 670, 1229, 640, 476, 4281, 281, 476, 9032, 1700, 1911, 6153, 7773, 11682, 1299, 7788, 529, 20793, 630, 1960, 272, 264, 21826, 8446, 540, 4719, 8390, 543, 2619, 9189, 540, 2274, 696, 657, 6495, 4997, 5672, 592, 753, 676, 4351, 28659, 26340, 545, 5027, 22368, 269, 10331, 269, 30287, 269, 19287, 2723, 269, 476, 6872, 281, 476, 27886, 273, 1700, 27886, 277, 717, 641, 23750, 590, 1299, 1261, 590, 25286, 630, 1960, 279, 264, 8376, 4187, 281, 3564, 519, 4187, 6090, 269, 12367, 7233, 2233, 269, 476, 274, 281, 476, 21709, 1700, 21172, 717, 832, 651, 24700, 1299, 590, 749, 667, 298, 630, 3192, 277, 264, 18726, 3604, 1851, 519, 5083, 331, 2033, 4718, 12187, 1979, 8040, 269, 808, 269, 670, 1229, 640, 476, 6858, 281, 476, 27244, 1700, 28638, 454, 294, 549, 591, 623, 1299, 2398, 553, 611, 19301, 630, 2735, 271, 264, 645, 542, 15299, 540, 2048, 338, 559, 591, 9496, 685, 7086, 8038, 267, 2107, 572, 16288, 610, 344, 345, 2801, 630, 24841, 5336, 1783, 9984, 589, 11641, 540, 7573, 538, 3127, 269, 595, 1815, 573, 269, 4139, 324, 476, 272, 281, 476, 2537, 1700, 10844, 20831, 918, 300, 1299, 717, 27158, 681, 297, 630, 2735, 273, 264, 13517, 540, 519, 3979, 7086, 544, 3805, 267, 2107, 572, 16288, 610, 344, 345, 643, 7702, 838, 8542, 269, 609, 13354, 4967, 593, 519, 7489, 7573, 7086, 544, 3805, 630, 24841, 5336, 1783, 264, 667, 760, 614, 320, 281, 595, 1815, 573, 3912, 328, 13160, 269, 18409, 269, 9980, 269, 1763, 269, 476, 7761, 281, 476, 5379, 278, 1700, 5325, 273, 24051, 3832, 1777, 808, 295, 1299, 11829, 684, 681, 299, 630, 3192, 271, 264, 21834, 540, 519, 2702, 540, 519, 670, 612, 1014, 8038, 267, 2904, 564, 2723, 320, 3186, 1192, 528, 547, 7639, 593, 765, 1846, 2348, 1114, 6090, 585, 4187, 269, 7788, 340, 269, 9980, 558, 565, 269, 17502, 269, 589, 1067, 269, 476, 8287, 281, 476, 9610, 271, 1700, 9610, 278, 670, 1122, 1372, 330, 3430, 328, 681, 300, 630, 4572, 278, 264, 634, 7573, 7086, 544, 3805, 538, 5087, 20855, 4673, 269, 3397, 337, 269, 808, 269, 3127, 476, 2420, 281, 476, 5379, 272, 1700, 5379, 274, 4173, 19049, 681, 310, 630, 1960, 272, 264, 3194, 14422, 585, 7573, 24684, 269, 769, 281, 10609, 2313, 717, 306, 1299, 1677, 3317, 328, 612, 523, 23435, 630, 2644, 264, 19676, 30911, 630, 653, 476, 866, 1700, 7918, 1040, 595, 5723, 4139, 267, 5177, 4173, 19049, 681, 310, 1299, 681, 773, 569, 674, 313, 630, 2735, 278, 264, 4139, 19676, 3194, 13405, 885, 281, 20480, 585, 30911, 9024, 328, 2510, 269, 18842, 651, 325, 11839, 7690, 22544, 593, 2353, 20814, 8249, 585, 15043, 13474, 16581, 3194, 269, 13852, 698, 1470, 267, 7977, 29399, 595, 298, 630, 4198, 278, 264, 5530, 540, 623, 778, 344, 10972, 680, 2670, 610, 344, 345, 2801, 8381, 5336, 1783, 538, 17540, 16644, 1329, 19435, 269, 5101, 3624, 2233, 269, 3397, 337, 269, 808, 269, 476, 277, 281, 476, 27840, 1700, 19054, 1772, 327, 4512, 570, 267, 5696, 541, 26712, 267, 5564, 8643, 26712, 1299, 10609, 2313, 717, 306, 630, 1960, 275, 264, 17449, 11090, 3101, 540, 6090, 585, 6960, 1544, 628, 32111, 4187, 543, 3783, 1465, 703, 5766, 5962, 689, 744, 787, 5633, 513, 14094, 16772, 529, 883, 16916, 7573, 267, 744, 269, 2893, 10216, 269, 32081, 476, 4391, 281, 476, 24241, 1700, 21854, 5840, 623, 630, 4198, 280, 264, 26257, 543, 2500, 2409, 540, 9013, 5521, 10860, 540, 7573, 269, 28540, 269, 1473, 269, 6298, 269, 2233, 269, 645, 267, 476, 5392, 281, 476, 3607, 277, 1700, 3607, 279, 5840, 623, 267, 28174, 30790, 20564, 717, 1299, 590, 21983, 698, 21105, 681, 7776, 962, 630, 4198, 280, 264, 16316, 1867, 540, 519, 6239, 19676, 3194, 4659, 585, 519, 1032, 476, 4198, 277, 1700, 4198, 278, 269, 9980, 558, 1108, 10406, 630, 653, 476, 5379, 1700, 7367, 1040, 29583, 339, 269, 540, 3127, 4964, 267, 2836, 12827, 3279, 267, 3127, 21280, 6062, 25846, 267, 23108, 591, 623, 1299, 10469, 1872, 29914, 9049, 630, 2735, 274, 264, 634, 7573, 7086, 544, 3805, 267, 2107, 572, 16288, 610, 344, 345, 2801, 1107, 513, 5618, 2689, 269, 595, 1815, 573, 4139, 324, 476, 275, 281, 476, 280, 1700, 2641, 17833, 1712, 15406, 630, 2735, 278, 264, 24538, 10860, 540, 7573, 543, 741, 2359, 269, 769, 281, 26890, 8538, 17495, 571, 681, 7776, 631, 1299, 590, 603, 534, 13183, 600, 630, 2644, 264, 7233, 10466, 538, 12197, 15867, 1186, 630, 653, 476, 8618, 1700, 10619, 1040, 10615, 622, 540, 19676, 3194, 267, 5754, 1457, 21171, 267, 3127, 17833, 1712, 15406, 1299, 28564, 584, 23404, 630, 2735, 280, 264, 10886, 1436, 540, 4095, 1979, 8040, 540, 7573, 7086, 544, 3805, 267, 2107, 572, 16288, 610, 344, 345, 2801, 630, 24841, 2173, 1783, 264, 630, 291, 760, 614, 320, 281, 595, 1815, 573, 3912, 328, 13160, 1040, 24538, 2233, 269, 7248, 269, 476, 1015, 281, 476, 25546, 1700, 23470, 20855, 1794, 514, 966, 267, 631, 732, 330, 700, 293, 1299, 1744, 334, 655, 6033, 25846, 630, 1960, 277, 264, 18650, 5444, 1387, 9233, 616, 24721, 543, 7265, 1229, 538, 29704, 269, 28540, 269, 14844, 331, 269, 6298, 269, 2233, 269, 7330, 476, 11152, 281, 476, 14056, 5379, 1700, 14056, 2004, 10127, 335, 589, 1299, 29885, 918, 297, 630, 1960, 278, 264, 5027, 12508, 281, 513, 2518, 7650, 269, 769, 281, 6970, 564, 8457, 268, 2304, 565, 956, 717, 1299, 717, 816, 327, 4752, 6751, 630, 2644, 264, 5027, 12508, 281, 10873, 267, 3156, 543, 7650, 338, 630, 653, 476, 272, 1700, 1724, 1040, 25067, 13305, 6224, 267, 1715, 3840, 918, 10620, 344, 541, 27699, 267, 25941, 601, 717, 267, 18000, 962, 267, 18681, 962, 267, 29399, 645, 267, 715, 1872, 8932, 344, 611, 1372, 700, 267, 22513, 18372, 918, 267, 28564, 584, 23404, 267, 769, 628, 822, 784, 590, 267, 19693, 3626, 590, 1299, 26999, 9116, 808, 630, 1220, 271, 264, 26085, 540, 7489, 7573, 7086, 544, 3805, 630, 7775, 572, 16288, 610, 344, 345, 2801, 8381, 28224, 264, 689, 2947, 2477, 8947, 676, 19200, 10861, 2079, 269, 32081, 476, 6246, 281, 476, 27088, 1700, 28590, 16679, 631, 304, 1299, 12653, 20321, 667, 309, 630, 4198, 276, 264, 2368, 4967, 593, 519, 7573, 7086, 8038, 267, 623, 778, 344, 10972, 680, 2670, 610, 344, 345, 2801, 630, 24841, 5336, 1783, 1040, 808, 269, 25512, 599, 14844, 269, 2876, 269, 17502, 269, 476, 7871, 281, 476, 9032, 1700, 9083, 918, 984, 599, 20076, 631, 267, 918, 644, 698, 600, 720, 595, 1299, 715, 1872, 8932, 344, 611, 1372, 700, 630, 1960, 272, 264, 670, 2096, 523, 16239, 748, 8934, 527, 6950, 540, 519, 7573, 7086, 544, 3805, 267, 2107, 572, 16288, 610, 344, 345, 2801, 630, 24841, 5336, 1783, 264, 1979, 9189, 538, 519, 2038, 10067, 320, 4005, 538, 16444, 20092, 269, 808, 777, 269, 3397, 337, 269, 1763, 31763, 269, 476, 1839, 281, 476, 4792, 1700, 6924, 25421, 5864, 584, 20321, 681, 7776, 645, 295, 1299, 25421, 5864, 584, 20321, 595, 630, 3422, 271, 264, 6513, 540, 1271, 4006, 29647, 543, 533, 23098, 10860, 676, 2686, 2853, 538, 715, 714, 600, 21171, 8664, 269, 1656, 31137, 3397, 878, 269, 808, 269, 476, 278, 281, 476, 25908, 1700, 25248, 454, 9873, 25421, 5864, 584, 20321, 681, 7776, 645, 295, 1299, 25421, 5864, 584, 20321, 595, 630, 3422, 275, 264, 5525, 593, 519, 1083, 13926, 4187, 547, 519, 4323, 540, 533, 23098, 7086, 8038, 267, 623, 778, 344, 10972, 680, 2670, 610, 344, 345, 2801, 630, 310, 269, 631, 12175, 1656, 31137, 3397, 878, 269, 808, 269, 476, 1556, 281, 476, 15389, 1700, 16960, 27958, 589, 267, 1744, 337, 643, 770, 6072, 30400, 1299, 19300, 340, 681, 298, 630, 1960, 280, 264, 18726, 2079, 540, 8121, 290, 476, 6795, 279, 275, 585, 7086, 544 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16538, 5086, 693, 1142, 1439, 540, 741, 3838, 2427, 568, 476, 10037, 5232, 269, 1403, 1312, 5546, 1631, 723, 547, 581, 2834, 1223, 519, 5086, 1869, 581, 476, 10037, 5232, 2496, 2162, 20976, 26305, 13100, 692, 7462, 6520, 476, 1691, 547, 476, 1240, 7420, 5426, 1384, 3528, 1202, 21564, 513, 5858, 538, 513, 4009, 543, 1287, 513, 4009, 538, 513, 5858, 1265, 606, 19406, 547, 14039, 269, 1635, 1210, 513, 15279, 6782, 267, 666, 596, 2087, 593, 519, 19406, 2496, 2162, 700, 8104, 302, 7420, 476, 1015, 910, 19449, 3380, 692, 7462, 6520, 476, 1556, 547, 476, 1626, 7420, 5426, 1384, 1103, 700, 8104, 302, 10580, 666, 581, 4330, 538, 2474, 540, 29977, 609, 606, 12808, 630, 514, 713, 2013, 1804, 1297, 264, 540, 5011, 910, 8495, 713, 4214, 2417, 780, 2162, 7402, 597, 743, 532, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 2304, 31164, 6906, 568, 9361, 593, 1283, 540, 513, 4009, 269, 1548, 568, 519, 8953, 540, 519, 5858, 602, 4931, 30533, 525, 713, 3337, 2496, 2162, 13106, 23585, 17781, 692, 7462, 6520, 476, 1626, 547, 476, 1240, 7420, 5426, 1384, 11693, 1022, 1614, 1875, 12969, 532, 10580, 538, 519, 7077, 1265, 1776, 5858, 610, 2786, 1899, 799, 11912, 782, 1614, 10580, 9647, 690, 517, 958, 780, 2162, 8298, 657, 638, 4100, 692, 7462, 6520, 476, 1626, 547, 476, 1240, 7420, 5426, 1384, 307, 523, 10945, 1106, 2834, 14034, 2901, 609, 11105, 610, 6587, 14622, 15700, 269, 12433, 519, 6418, 543, 9018, 2234, 4512, 540, 519, 14034, 602, 3295, 519, 10945, 780, 2162, 19999, 692, 7462, 6520, 476, 1691, 547, 476, 1240, 7420, 5426, 1384, 763, 6516, 2982, 513, 2834, 20008, 6782, 609, 5011, 540, 1770, 3259, 269, 4855, 782, 519, 7285, 538, 519, 6516, 269, 28171, 602, 519, 29105, 3254, 538, 2699, 568, 513, 32077, 639, 780, 2162, 3245, 2353, 12397, 619, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 1805, 571, 697, 3515, 616, 6537, 689, 1142, 7944, 540, 513, 4009, 547, 519, 4571, 2798, 540, 519, 6587, 5011, 269, 18124, 519, 1858, 540, 519, 12354, 6782, 602, 568, 4646, 693, 519, 8998, 607, 513, 6824, 540, 519, 1858, 540, 519, 4009, 780, 2162, 12054, 328, 1673, 564, 3737, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 288, 4009, 540, 1858, 476, 2412, 4009, 524, 916, 568, 27485, 538, 513, 12931, 22511, 269, 4855, 519, 1858, 540, 519, 4009, 602, 1223, 581, 27485, 538, 513, 5858, 540, 519, 1482, 8953, 269, 0, 16829, 593, 676, 918, 1779, 545, 1712, 692, 258, 17179, 782, 1256, 26027, 9136, 689, 513, 9764, 2582, 5532, 1592, 692, 1103, 713, 1966, 267, 649, 616, 7231, 609, 513, 9764, 2206, 569, 5532, 1592, 602, 3568, 8870, 2418, 269, 634, 4305, 568, 547, 4894, 9136, 689, 519, 9764, 5532, 1592, 602, 723, 606, 1256, 26027, 540, 1305, 11353, 538, 741, 9352, 6041, 780, 1012, 9046, 15048, 543, 13517, 692, 763, 1966, 3340, 721, 547, 4894, 9136, 689, 519, 9764, 5532, 1592, 1759, 593, 513, 1808, 2783, 269, 1284, 991, 547, 2697, 519, 9136, 4171, 9352, 6041, 814, 606, 1256, 1297, 540, 1305, 11353, 630, 23605, 609, 513, 1871, 540, 476, 272, 264, 543, 4894, 873, 1247, 4509, 519, 9764, 2497, 540, 519, 5532, 1592, 780, 1012, 7151, 692, 4131, 781, 1174, 519, 1966, 609, 606, 1383, 269, 6333, 519, 1739, 9764, 5532, 1592, 1384, 1730, 24314, 8562, 983, 21912, 5903, 281, 476, 274, 9847, 476, 1321, 9847, 476, 3953, 9847, 476, 1691, 9847, 476, 2767, 9847, 476, 866, 9847, 476, 272, 9847, 476, 1240, 9847, 476, 274, 630, 3724, 547, 519, 1376, 264, 1730, 692, 5475, 9427, 9136, 609, 1256, 26027, 540, 1305, 11353, 267, 519, 9764, 5532, 1592, 1058, 1413, 899, 713, 1384, 1730, 9556, 1881, 8562, 983, 21912, 5903, 281, 476, 3953, 9847, 476, 1691, 9847, 476, 866, 9847, 476, 272, 9847, 476, 3953, 630, 3724, 547, 519, 1376, 264, 1730, 692, 1012, 22830, 547, 16534, 692, 2414, 4194, 713, 1966, 267, 649, 666, 1246, 891, 3268, 1384, 272, 269, 3004, 2091, 519, 9764, 5532, 1592, 1210, 519, 2387, 31184, 319, 24072, 563, 273, 269, 1280, 1142, 6843, 267, 5173, 519, 1297, 540, 1305, 11353, 630, 23605, 609, 513, 1871, 540, 476, 272, 264, 538, 922, 9352, 6041, 1210, 519, 2387, 322, 719, 13729, 30531, 319, 1599, 563, 274, 269, 6744, 952, 519, 1293, 540, 1305, 11353, 568, 1256, 269, 1403, 621, 568, 267, 1665, 519, 6843, 585, 8851, 563, 275, 269, 3004, 2091, 519, 9764, 5532, 1592, 1586, 1210, 519, 2387, 31184, 319, 24072, 267, 713, 942, 609, 519, 6662, 540, 9427, 519, 6825, 9136, 563, 276, 269, 1280, 1142, 6825, 6843, 267, 4894, 621, 689, 519, 1592, 1247, 4509, 519, 9764, 2497, 780, 1012, 28342, 665, 1712, 692, 18606, 24525, 11966, 10031, 8873, 454, 30976, 1125, 1448, 607, 14275, 692, 6112, 10917, 568, 711, 14275, 912, 604, 524, 719, 13729, 30531, 6025, 11391, 21606, 264, 568, 1256, 912, 14513, 18416, 815, 10917, 454, 31184, 815, 10917, 12785, 454, 604, 25581, 568, 2766, 912, 2260, 3816, 8221, 513, 2582, 6843, 454, 18571, 815, 14275, 454, 31184, 815, 14275, 454, 12828, 912, 18571, 12785, 815, 10917, 454, 12828, 952, 25581, 568, 2766, 912, 604, 1448, 568, 711, 14275, 912, 2260, 17179, 2063, 6843, 454, 18571, 815, 1448, 454, 12828, 912, 604, 1448, 568, 711, 14275, 912, 2260, 17179, 13591, 6843, 454, 4812, 12785, 815, 10917, 454, 14513, 18416, 815, 14275, 454, 12828, 912, 4812, 815, 10917, 454, 31184, 815, 10917, 12785, 454, 2260, 17547, 519, 1184, 454, 31184, 815, 14275, 32526, 1012, 23990, 19247, 692, 272, 269, 3004, 2091, 519, 9764, 5532, 1592, 1210, 519, 2387, 31184, 319, 24072, 563, 273, 269, 12433, 519, 1297, 540, 1305, 11353, 538, 519, 9352, 6041, 540, 519, 1699, 6843, 781, 1239, 1210, 519, 2387, 322, 719, 13729, 30531, 319, 1599, 563, 274, 269, 6744, 952, 519, 1293, 540, 1305, 11353, 568, 1256, 269, 1403, 621, 568, 267, 1665, 519, 1699, 6843, 585, 8851, 563, 275, 269, 13689, 593, 2436, 519, 1699, 6843, 630, 319, 14513, 18416, 319, 264, 568, 519, 2212, 267, 2766, 267, 610, 606, 13591, 6843, 267, 4894, 519, 6843, 689, 519, 1592, 1247, 4509, 519, 9764, 2497, 563, 276, 269, 1403, 519, 1699, 6843, 781, 1239, 3085, 1405, 723, 606, 1256, 1297, 540, 1305, 11353, 267, 9337, 519, 2387, 4812, 319, 24072, 547, 2387, 31184, 319, 543, 1847, 2387, 31184, 319, 547, 519, 1985, 6843, 563, 277, 269, 1403, 2387, 31184, 319, 814, 6603, 1394, 547, 519, 2212, 267, 2165, 3729, 519, 8520, 676, 4259, 2387, 31184, 319, 547, 14275, 780, 1012, 5384, 29203, 692, 272, 269, 769, 519, 2387, 322, 719, 13729, 30531, 319, 1599, 267, 519, 1297, 540, 1305, 11353, 568, 18886, 1210, 3787, 3772, 4238, 269, 901, 5106, 568, 13401, 538, 3586, 942, 267, 7488, 540, 519, 3403, 1871, 269, 4935, 267, 519, 942, 6988, 540, 519, 2387, 322, 719, 13729, 30531, 319, 1599, 568, 744, 263, 272, 6393, 273, 269, 769, 519, 2387, 24525, 11966, 319, 1599, 267, 649, 29906, 519, 9764, 5532, 1592, 7466, 269, 634, 1101, 21986, 531, 14439, 9136, 609, 1256, 26027, 540, 1305, 11353, 269, 634, 2034, 21986, 531, 18788, 891, 9136, 1247, 4509, 519, 9764, 2497, 269, 5637, 21986, 1023, 723, 513, 942, 6988, 540, 744, 18217, 1070, 1141, 715, 568, 519, 1297, 540, 9136, 538, 519, 5532, 1592, 780, 1012, 19410, 692, 8923, 2671, 707, 1702, 547, 2087, 3009, 543, 1543, 3044, 269, 4746, 10505, 707, 22027, 267, 543, 1449, 2013, 269, 1284, 2087, 676, 707, 5955, 269, 1284, 786, 2119, 547, 8207, 707, 13214, 607, 4166, 607, 2009, 780, 290, 20975, 454, 9824, 894, 5403, 0, 22724, 5784, 454, 288, 2780, 7028, 835, 2232, 543, 1079, 2232, 5528, 269, 2353, 519, 17372, 525, 616, 519, 3965, 9607, 269, 15350, 2450, 568, 476, 272, 300, 2421, 974, 269, 1215, 1082, 835, 2232, 5528, 616, 2009, 952, 621, 814, 476, 13301, 1079, 9607, 5528, 286, 630, 10112, 2541, 9352, 5528, 3009, 814, 476, 4366, 11353, 994, 347, 476, 22724, 5784, 692, 514, 713, 1966, 1109, 2698, 2450, 540, 6044, 3009, 815, 476, 4366, 3787, 692, 284, 1109, 476, 279, 1109, 1341, 476, 736, 1341, 476, 736, 692, 326, 1508, 602, 1109, 476, 13301, 1109, 568, 1079, 2232, 6044, 692, 8145, 8724, 1109, 815, 1109, 476, 273, 317, 279, 910, 1109, 476, 13301, 692, 284, 1109, 476, 16348, 910, 476, 13301, 815, 476, 1626, 692, 1156, 576, 1109, 835, 2232, 6044, 1109, 815, 1109, 476, 1626, 265, 476, 13136, 1741, 815, 1109, 476, 23470, 692, 2421, 700, 5819, 630, 277, 269, 274, 330, 2798, 994, 572, 21124, 676, 454, 271, 454, 6343, 568, 519, 2495, 540, 11090, 543, 875, 568, 621, 476, 279, 888, 266, 272, 454, 20357, 2698, 6044, 476, 4366, 3787, 476, 1109, 604, 579, 2655, 847, 476, 273, 2232, 621, 1797, 630, 4366, 268, 736, 268, 736, 264, 815, 476, 279, 3787, 454, 266, 272, 692, 11357, 513, 14720, 476, 955, 285, 538, 713, 6044, 513, 543, 536, 616, 3965, 9607, 543, 1016, 568, 1566, 13892, 630, 11090, 538, 713, 3070, 25589, 271, 454, 758, 9684, 579, 27205, 563, 271, 454, 338, 597, 855, 875, 1705, 649, 1205, 3965, 2232, 284, 736, 888, 266, 272, 692, 287, 761, 639, 692, 300, 25514, 12025, 815, 476, 272, 15406, 815, 476, 13136, 645, 815, 2525, 285, 476, 736, 11353, 2838, 547, 2697, 835, 1635, 974, 538, 713, 6189, 692, 271, 454, 8117, 972, 786, 581, 476, 2537, 3787, 711, 476, 736, 1317, 476, 1109, 527, 781, 476, 272, 332, 2421, 974, 0, 258, 6184, 4327, 15620, 27153, 538, 3002, 8264, 12542, 692, 1892, 22510, 325, 3641, 454, 1103, 5758, 267, 519, 2604, 538, 519, 15620, 568, 2799, 676, 476, 274, 269, 273, 4699, 540, 16035, 950, 789, 616, 5116, 538, 519, 13621, 4672, 543, 1216, 23854, 563, 1372, 1417, 325, 3641, 692, 1012, 14581, 15048, 692, 10521, 4837, 15620, 540, 3160, 4320, 616, 4448, 676, 513, 7522, 8546, 543, 616, 4904, 609, 513, 3154, 693, 12361, 271, 17353, 15132, 348, 290, 1012, 543, 513, 2604, 540, 12361, 10602, 20728, 346, 4699, 348, 1012, 540, 16035, 269, 2290, 540, 519, 15620, 568, 1287, 5116, 538, 13621, 4672, 543, 519, 824, 568, 5116, 538, 1216, 693, 12361, 7830, 17353, 15132, 348, 290, 1012, 269, 1548, 568, 519, 1007, 1871, 540, 519, 2604, 3330, 519, 15620, 286, 634, 4320, 540, 519, 8220, 8546, 568, 30050, 780, 1012, 14581, 12307, 692, 2330, 11901, 284, 333, 20670, 9681, 1012, 634, 28055, 693, 513, 8827, 692, 296, 993, 711, 2386, 875, 547, 3801, 713, 2243, 513, 2370, 20726, 1131, 581, 5363, 269, 1809, 267, 1869, 594, 786, 1397, 1250, 960, 780, 7712, 519, 15620, 616, 27153, 538, 1114, 23854, 2348, 1114, 5210, 267, 865, 519, 2837, 538, 1312, 519, 15620, 666, 581, 3274, 1336, 856, 676, 519, 4998, 3154, 3830, 269, 2913, 519, 15941, 27153, 538, 519, 13621, 4672, 13111, 581, 15941, 476, 272, 543, 519, 824, 835, 581, 15941, 476, 273, 780, 3383, 267, 519, 2604, 538, 519, 15941, 476, 272, 3788, 24240, 2094, 519, 15941, 729, 7620, 693, 12361, 271, 17353, 15132, 348, 290, 1012, 543, 519, 13111, 538, 799, 621, 568, 6854, 568, 849, 693, 519, 1482, 2837, 780, 4407, 585, 15941, 476, 273, 621, 568, 6854, 538, 513, 13111, 799, 814, 513, 2837, 2362, 982, 922, 3355, 2837, 269, 1306, 519, 4320, 540, 519, 15941, 3788, 3586, 865, 519, 2604, 538, 15941, 476, 273, 568, 692, 11377, 13320, 13997, 263, 303, 318, 273, 264, 13925, 328, 12453, 18950, 303, 318, 273, 264, 13925, 325, 3686, 7807, 13320, 13997, 263, 307, 318, 273, 264, 13925, 328, 12453, 18950, 307, 318, 273, 264, 13925, 325, 14990, 574, 18680, 2715, 263, 303, 318, 273, 264, 13925, 325, 4153, 13627, 476, 11152, 269, 273, 20728, 346, 4699, 540, 29666, 6525, 563, 3719, 594, 1810, 1405, 1745, 602, 713, 568, 2953, 630, 2254, 1152, 1813, 547, 519, 1249, 602, 519, 1433, 3947, 513, 1114, 2626, 264, 607, 972, 786, 581, 930, 3002, 26634, 998, 519, 11425, 8220, 519, 1079, 15620, 269, 1809, 1586, 1813, 547, 519, 23854, 23478, 519, 3586, 2837, 22543, 17802, 263, 7474, 781, 1018, 594, 1589, 23854, 798, 264, 1287, 1862, 296, 993, 2731, 11821, 780, 763, 1433, 6645, 602, 519, 31529, 6675, 30337, 2933, 538, 971, 513, 6073, 865, 602, 972, 568, 7344, 11466, 269, 9747, 519, 2837, 538, 519, 15620, 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 ]

[ 10142, 825, 1948, 1509, 25975, 520, 1073, 329, 2131, 6003, 1477, 825, 561, 4565, 1015, 815, 28184, 5793, 11482, 8475, 9852, 664, 845, 3418, 825, 561, 4565, 1015, 9131, 3667, 11172, 815, 834, 7709, 10067, 12118, 11445, 29177, 825, 561, 4565, 1015, 26942, 21405, 284, 1321, 267, 6241, 284, 271, 10142, 825, 1948, 1509, 25975, 520, 1073, 329, 2131, 7127, 1477, 825, 9103, 301, 559, 2967, 815, 28184, 5793, 9950, 660, 787, 9852, 664, 845, 3418, 825, 9103, 301, 559, 2967, 26942, 21405, 284, 1321, 267, 6241, 284, 272, 10142, 825, 1948, 2367, 2086, 559, 16988, 1106, 1477, 825, 1292, 845, 6230, 664, 31467, 14052, 5897, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 1292, 14052, 0, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 20956, 273, 454, 5814, 11885, 607, 5286, 7531, 5035, 12384, 299, 1601, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 7456, 1601, 815, 476, 271, 692, 825, 1219, 4464, 4311, 267, 586, 267, 512, 2187, 1038, 8173, 1038, 17276, 510, 373, 29004, 362, 419, 506, 509, 14395, 508, 29219, 344, 25520, 27447, 24731, 29219, 18777, 350, 28997, 501, 29754, 454, 1038, 2433, 12407, 586, 912, 1038, 2433, 12407, 512, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 1582, 7456, 1601, 815, 586, 910, 512, 454, 1038, 2132, 5286, 27904, 4311, 7456, 1601, 2608, 1582, 7456, 1601, 264, 1315, 1582, 7456, 1601, 17482, 314, 272, 316, 1315, 476, 273, 692, 825, 1219, 18807, 4311, 2187, 1038, 8173, 1038, 476, 13213, 498, 18713, 508, 25203, 362, 31176, 491, 418, 357, 350, 417, 508, 489, 7511, 29754, 454, 1038, 2433, 8873, 912, 1038, 8173, 1038, 2132, 1582, 7456, 1601, 7531, 5035, 674, 290, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 538, 19571, 267, 856, 19571, 267, 561, 337, 284, 271, 269, 272, 2187, 1038, 8173, 1038, 476, 10254, 507, 417, 356, 489, 25060, 500, 421, 504, 494, 420, 17302, 31271, 480, 7511, 420, 488, 480, 30536, 14748, 12255, 18998, 23521, 481, 19404, 491, 419, 509, 358, 421, 502, 369, 7076, 18998, 417, 479, 493, 419, 377, 362, 321, 5362, 25520, 27730, 18263, 510, 27064, 485, 331, 337, 454, 1038, 2433, 12407, 538, 19571, 912, 1038, 2433, 12407, 856, 19571, 912, 1038, 2433, 12407, 561, 337, 912, 1038, 8173, 1038, 1582, 11519, 514, 19571, 815, 538, 19571, 454, 1038, 1582, 11519, 719, 19571, 815, 856, 19571, 454, 1038, 1582, 9884, 815, 5286, 20179, 20120, 333, 263, 514, 19571, 267, 856, 19571, 264, 476, 1948, 2597, 3355, 1436, 454, 1038, 1582, 12500, 815, 5286, 25910, 9230, 719, 19571, 267, 476, 272, 4917, 1038, 1582, 7456, 337, 815, 561, 337, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 9041, 338, 31451, 263, 514, 12774, 2187, 1038, 8173, 1038, 13127, 362, 504, 18263, 487, 418, 379, 478, 418, 368, 375, 16583, 30936, 454, 1038, 2433, 12407, 538, 12774, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 2132, 476, 272, 1315, 630, 272, 1341, 5286, 269, 10339, 8987, 514, 12774, 11723, 825, 1219, 4464, 4311, 267, 538, 12774, 2187, 1038, 1582, 6745, 641, 11749, 815, 1582, 11519, 338, 31451, 18828, 31715, 4311, 9884, 11053, 267, 538, 12774, 264, 1341, 1582, 12500, 264, 476, 1948, 476, 18777, 350, 28997, 501, 27447, 24731, 344, 454, 1038, 1582, 12500, 18847, 11749, 815, 538, 12774, 476, 1948, 476, 32517, 507, 419, 499, 503, 30244, 31271, 480, 7511, 27447, 24662, 454, 1038, 2132, 1582, 6745, 641, 11749, 692, 825, 1219, 18807, 4311, 267, 2530, 2187, 1038, 8173, 1038, 17276, 511, 353, 14035, 482, 7511, 29754, 21251, 15159, 419, 506, 509, 14395, 508, 7511, 630, 344, 2389, 8203, 273, 270, 273, 8147, 26033, 490, 15159, 25203, 368, 26406, 354, 7511, 344, 2389, 267, 26033, 490, 344, 2389, 18263, 509, 27882, 352, 15159, 419, 506, 509, 15159, 29754, 7511, 21382, 376, 12255, 454, 1038, 2433, 12407, 2530, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 15895, 318, 345, 815, 2530, 2608, 1582, 6745, 641, 11749, 2608, 630, 272, 910, 1582, 6745, 641, 11749, 264, 476, 1948, 2530, 28098, 345, 7511, 417, 479, 493, 21382, 376, 8147, 29754, 28098, 344, 7511, 417, 479, 493, 21382, 376, 21928, 29754, 18809, 26266, 366, 14756, 493, 28997, 501, 24731, 8147, 22287, 367, 344, 2389, 454, 1038, 5552, 16062, 815, 5286, 31715, 4311, 12500, 18847, 11749, 267, 15895, 318, 345, 11053, 264, 476, 1948, 530, 7511, 418, 351, 363, 18021, 355, 8147, 421, 506, 478, 28884, 17958, 30244, 31271, 480, 7511, 27447, 24662, 343, 28786, 24662, 18777, 350, 28997, 501, 454, 1038, 5552, 10734, 815, 5286, 27904, 263, 637, 573, 783, 318, 345, 264, 476, 1948, 9186, 7511, 418, 351, 363, 18021, 355, 454, 1038, 1582, 9884, 20699, 1582, 7456, 337, 2608, 5552, 16062, 454, 1038, 1582, 12500, 20699, 1582, 7456, 337, 2608, 5552, 10734, 454, 1038, 15895, 13448, 815, 5286, 31715, 4311, 9884, 267, 15895, 318, 345, 264, 476, 1948, 476, 20992, 29072, 18777, 350, 28997, 501, 31176, 491, 13601, 31271, 480, 7511, 342, 7511, 418, 351, 363, 18021, 355, 8147, 10254, 503, 421, 506, 478, 28884, 18777, 350, 28997, 501, 28098, 31176, 491, 13601, 31271, 480, 7511, 345, 7511, 418, 351, 363, 18021, 355, 8147, 10254, 503, 421, 506, 478, 28884, 18777, 350, 28997, 501, 31176, 491, 13601, 31271, 480, 7511, 344, 22287, 367, 30244, 13601, 31271, 480, 7511, 343, 7511, 418, 351, 363, 18021, 355, 8147, 26033, 490, 28098, 30244, 13601, 31271, 480, 343, 7511, 418, 351, 363, 18021, 355, 8147, 23746, 23284, 20881, 504, 13213, 485, 30244, 13601, 31271, 480, 7511, 345, 28098, 30244, 13601, 31271, 480, 7511, 342, 418, 365, 480, 21382, 376, 23523, 501, 24731, 454, 1038, 2132, 15895, 13448, 7531, 5035, 4880, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3403, 19571, 284, 273, 267, 6456, 19571, 284, 275, 267, 856, 19571, 284, 272, 267, 561, 337, 284, 271, 269, 272, 2187, 1038, 1582, 8807, 322, 272, 815, 674, 290, 9272, 19571, 267, 6456, 19571, 267, 561, 337, 994, 1038, 1582, 8807, 322, 273, 815, 674, 290, 22607, 5200, 19571, 267, 856, 19571, 267, 561, 337, 994, 1038, 1582, 7456, 1601, 815, 12384, 299, 1601, 10797, 825, 1219, 5721, 4311, 267, 2473, 267, 586, 2567, 1948, 2473, 616, 11231, 676, 897, 454, 1038, 585, 1775, 538, 2039, 263, 1911, 876, 2187, 2018, 1948, 4464, 1900, 454, 2018, 4494, 272, 719, 815, 1582, 8807, 322, 272, 269, 3453, 11583, 994, 2018, 4494, 273, 719, 815, 1582, 8807, 322, 273, 269, 3453, 10857, 9707, 272, 719, 994, 2018, 2530, 815, 1582, 7456, 1601, 269, 3453, 10857, 9707, 273, 719, 267, 586, 2020, 2018, 1948, 18807, 1900, 454, 2018, 4494, 273, 29754, 815, 1582, 7456, 1601, 269, 3724, 1189, 4590, 2018, 4494, 272, 29754, 815, 1582, 8807, 322, 273, 269, 3724, 1189, 10857, 9707, 273, 29754, 994, 2018, 2892, 3050, 815, 1582, 8807, 322, 272, 269, 3724, 1189, 10857, 9707, 272, 29754, 994, 1038, 4494, 272, 719, 815, 1582, 8807, 322, 272, 269, 3453, 11583, 994, 1038, 4494, 273, 719, 815, 1582, 8807, 322, 273, 269, 3453, 10857, 9707, 272, 719, 994, 1038, 1820, 3488, 311, 28121, 271, 348, 8339, 8971, 11583, 4917, 1038, 1820, 3488, 339, 28121, 271, 348, 8339, 8971, 12169, 4917, 1038, 1820, 3488, 344, 28121, 271, 348, 8339, 8971, 10857, 9707, 273, 719, 264, 9239, 5035, 1230, 341, 299, 9707, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 538, 15220, 14128, 267, 856, 15220, 14128, 267, 17830, 15481, 2187, 1038, 1582, 9884, 815, 5286, 20179, 20120, 333, 263, 514, 15220, 14128, 267, 856, 15220, 14128, 267, 17830, 15481, 267, 17830, 15481, 994, 1038, 1582, 12500, 815, 5286, 25910, 9230, 719, 15220, 14128, 11723, 825, 1219, 575, 1987, 6958, 333, 4311, 267, 29178, 267, 23940, 267, 700, 10033, 267, 533, 19561, 267, 18325, 2187, 1038, 29178, 13448, 815, 29178, 454, 1038, 29178, 14729, 815, 10581, 4433, 7950, 264, 1315, 18325, 454, 1038, 630, 344, 267, 1535, 264, 815, 5286, 6230, 21983, 28186, 18828, 30784, 1052, 8987, 272, 267, 476, 273, 1070, 5286, 30784, 1052, 8987, 272, 267, 476, 273, 4917, 1038, 1948, 15585, 566, 454, 1038, 1535, 318, 9064, 815, 1535, 2608, 5286, 269, 6523, 263, 9064, 264, 1341, 586, 2608, 5286, 4732, 514, 263, 9064, 994, 1038, 586, 318, 9064, 815, 910, 343, 2608, 5286, 4732, 514, 263, 9064, 264, 1341, 586, 2608, 5286, 269, 6523, 263, 9064, 994, 1038, 575, 321, 815, 5286, 269, 10339, 8987, 269, 276, 2608, 630, 343, 318, 9064, 2878, 476, 273, 1315, 29178, 13448, 2878, 476, 273, 1341, 586, 318, 9064, 2878, 476, 273, 1315, 29178, 14729, 2878, 476, 273, 4297, 2608, 5286, 269, 6523, 18692, 2018, 476, 273, 2608, 5286, 32564, 1315, 700, 10033, 2608, 1535, 318, 9064, 1341, 533, 19561, 994, 1038, 2132, 575, 321, 692, 825, 1219, 9041, 516, 1663, 4311, 267, 1535, 2187, 1038, 1535, 20572, 2999, 476, 271, 316, 815, 476, 271, 454, 1038, 2132, 1535, 692, 825, 1219, 5996, 273, 4311, 267, 2473, 267, 737, 2187, 1038, 1535, 32284, 267, 1535, 22674, 815, 2473, 17482, 454, 1038, 737, 32284, 267, 737, 22674, 815, 737, 17482, 454, 1038, 1427, 32284, 267, 1427, 22674, 815, 1535, 32284, 910, 737, 32284, 1341, 476, 272, 267, 1535, 22674, 910, 737, 22674, 1341, 476, 272, 454, 1038, 1427, 815, 5286, 269, 24105, 9230, 4958, 32284, 267, 1427, 22674, 4917, 1038, 585, 586, 538, 2039, 263, 4958, 32284, 2187, 2018, 585, 1535, 538, 2039, 263, 4958, 22674, 2187, 3546, 1016, 815, 2473, 314, 344, 281, 586, 1341, 737, 32284, 267, 1535, 281, 1535, 1341, 737, 22674, 2639, 3546, 1427, 314, 344, 267, 1535, 316, 815, 5286, 27904, 4433, 889, 2608, 737, 994, 1038, 2132, 1427, 692, 825, 1219, 4464, 4311, 267, 538, 12774, 2187, 1038, 1948, 8263, 519, 1101, 4994, 568, 8756, 4994, 454, 1038, 538, 15220, 14128, 267, 538, 32284, 267, 538, 22674, 815, 538, 12774, 17482, 454, 1038, 856, 15220, 14128, 267, 17830, 32284, 267, 17830, 22674, 815, 1582, 9884, 17482, 314, 272, 3910, 1582, 9884, 17482, 314, 273, 3910, 1582, 9884, 17482, 314, 274, 2639, 1038, 1582, 6745, 641, 26371, 815, 5286, 25910, 9230, 719, 15220, 14128, 267, 538, 32284, 910, 17830, 32284, 1341, 476, 272, 267, 538, 22674, 910, 17830, 22674, 1341, 476, 272, 4917, 1038, 585, 795, 538, 2039, 263, 719, 15220, 14128, 2187, 2018, 585, 1775, 538, 2039, 263, 514, 15220, 14128, 2187, 3546, 1582, 6745, 641, 26371, 14728, 316, 6834, 1582, 26769, 341, 273, 263, 514, 12774, 5157, 3910, 1582, 9884, 5157, 267, 795, 7481, 2018, 1582, 6745, 641, 26371, 14728, 316, 6834, 1582, 12500, 14728, 2639, 2018, 1582, 6745, 641, 26371, 14728, 316, 815, 1582, 11519, 516, 1663, 4311, 6745, 641, 26371, 14728, 7481, 1038, 2132, 1582, 6745, 641, 26371, 7531, 3698, 3239, 4671, 4920, 845, 10031, 825, 1319, 815, 20956, 273, 269, 574, 1348, 3488, 1889, 27970, 3299, 476, 271, 994, 825, 4737, 267, 897, 815, 1319, 17482, 454, 825, 1820, 2891, 27729, 540, 708, 326, 568, 630, 346, 271, 9574, 346, 272, 16585, 2668, 8971, 21405, 267, 897, 4917, 825, 538, 12774, 815, 1319, 269, 31412, 263, 272, 267, 4737, 267, 897, 994, 825, 538, 12774, 815, 538, 12774, 269, 770, 4286, 18828, 269, 15615, 264, 1315, 476, 14838, 454, 825, 12301, 269, 574, 19651, 263, 514, 12774, 314, 271, 3910, 4699, 777, 8782, 294, 516, 903, 24417, 5073, 825, 12301, 20481, 10797, 825, 1611, 3519, 341, 815, 1230, 341, 299, 9707, 263, 272, 267, 476, 272, 267, 476, 276, 994, 825, 1611, 3519, 341, 9884, 314, 271, 267, 476, 271, 316, 815, 5286, 269, 2158, 9230, 276, 267, 476, 276, 4297, 1315, 630, 276, 2608, 476, 276, 994, 825, 1611, 318, 719, 815, 1611, 3519, 341, 269, 3453, 263, 514, 12774, 994, 825, 12301, 269, 574, 19651, 263, 11743, 318, 719, 314, 271, 3910, 4699, 777, 8782, 294, 516, 903, 24417, 5073, 825, 12301, 20481, 10797, 825, 865, 10964, 3519, 341, 815, 1230, 341, 299, 9707, 263, 272, 267, 476, 272, 267, 476, 274, 994, 825, 865, 10964, 3519, 341, 9884, 314, 271, 267, 476, 271, 316, 815, 5286, 15126, 8443, 15631, 272, 267, 910, 273, 267, 910, 272, 3910, 1496, 271, 267, 476, 271, 267, 476, 271, 3910, 1496, 272, 267, 476, 273, 267, 476, 272, 316, 7481, 825, 865, 10964, 318, 719, 815, 865, 10964, 3519, 341, 269, 3453, 263, 514, 12774, 994, 825, 12301, 269, 574, 19651, 263, 810, 10964, 318, 719, 314, 271, 3910, 4699, 777, 8782, 294, 516 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1294, 513, 2564, 6595, 267, 713, 2702, 666, 1611, 519, 3017, 1063, 1272, 543, 2669, 563, 2414, 1451, 811, 827, 2921, 519, 1576, 543, 3478, 14468, 267, 3346, 1261, 1430, 5576, 1638, 518, 693, 1496, 16942, 6870, 316, 610, 676, 6049, 693, 630, 2568, 276, 264, 476, 25396, 268, 277, 5038, 277, 269, 0, 1432, 568, 519, 2757, 7544, 540, 519, 29401, 6243, 888, 763, 6071, 978, 826, 568, 2808, 851, 540, 519, 3084, 3961, 540, 519, 29401, 2146, 563, 1432, 568, 29401, 15472, 1572, 888, 300, 699, 978, 826, 568, 519, 3084, 2575, 543, 7544, 540, 519, 29401, 6243, 543, 814, 1831, 513, 2262, 543, 5001, 9135, 602, 568, 24190, 609, 519, 2197, 3294, 563, 7617, 7544, 12090, 538, 519, 29401, 6243, 888, 300, 699, 978, 826, 267, 3943, 544, 2946, 21880, 826, 267, 7008, 7544, 23608, 538, 519, 29401, 6243, 543, 27425, 267, 9244, 6766, 676, 23256, 3241, 534, 543, 25812, 4211, 889, 534, 7574, 2853, 543, 676, 23929, 2429, 5824, 3013, 269, 20323, 267, 543, 1869, 267, 513, 6917, 12563, 7544, 543, 2663, 513, 3440, 3336, 7544, 267, 519, 6071, 978, 826, 568, 693, 922, 1954, 652, 2476, 689, 519, 3440, 3336, 563, 1432, 568, 835, 540, 519, 2189, 23929, 538, 29401, 6243, 888, 763, 631, 699, 978, 826, 568, 519, 3084, 7544, 540, 519, 29401, 6243, 267, 543, 568, 849, 835, 540, 519, 3044, 5824, 1977, 23929, 269, 898, 568, 9247, 513, 4999, 540, 1079, 23929, 281, 519, 3979, 543, 3943, 3687, 340, 564, 267, 689, 519, 3735, 476, 10204, 271, 779, 998, 519, 2038, 476, 5197, 271, 779, 563, 1432, 568, 519, 3084, 2575, 543, 7544, 1106, 4082, 540, 519, 29401, 6243, 888, 300, 699, 978, 826, 568, 519, 3084, 7544, 2575, 540, 519, 29401, 6243, 563, 7617, 5824, 1977, 23929, 12090, 538, 29401, 6243, 888, 763, 631, 699, 978, 826, 568, 519, 3084, 7544, 540, 519, 29401, 6243, 267, 543, 568, 849, 835, 540, 519, 3044, 5824, 1977, 23929, 563, 1432, 568, 519, 1034, 2442, 1106, 2575, 543, 7544, 538, 519, 29401, 6243, 888, 300, 699, 978, 826, 568, 519, 1034, 2442, 2575, 9135, 538, 519, 29401, 6243, 269, 898, 568, 1634, 607, 519, 22657, 540, 6071, 978, 826, 269, 634, 2012, 2501, 689, 519, 3943, 544, 1359, 826, 267, 799, 568, 513, 1826, 540, 17711, 269, 634, 15472, 3322, 3504, 3979, 543, 3943, 12738, 563, 1432, 2186, 540, 7544, 798, 18067, 15092, 798, 888, 300, 699, 978, 826, 630, 270, 332, 16745, 16659, 337, 389, 505, 385, 489, 389, 350, 324, 22688, 32551, 5053, 281, 1496, 1889, 16659, 389, 378, 324, 385, 489, 389, 350, 324, 8079, 568, 513, 2511, 540, 29401, 2575, 543, 7544, 269, 16890, 3180, 1142, 824, 538, 513, 6806, 2990, 563, 7617, 568, 519, 2817, 8535, 540, 519, 29401, 6243, 888, 300, 699, 978, 826, 631, 699, 978, 826, 568, 519, 3084, 2575, 543, 7544, 540, 519, 29401, 6243, 269, 769, 476, 1001, 277, 267, 20648, 29064, 6071, 978, 826, 607, 513, 9457, 12328, 540, 519, 17327, 543, 2271, 26143, 8836, 11595, 540, 5274, 640, 269, 7102, 29401, 786, 2995, 596, 602, 6071, 978, 826, 568, 851, 543, 1612, 4897, 540, 1169, 29401, 779, 9759, 563, 1432, 2186, 540, 2528, 1281, 18067, 3821, 723, 888, 291, 7631, 3821, 568, 1634, 585, 922, 14916, 9976, 1212, 1961, 6561, 269, 4706, 3126, 540, 2238, 18799, 1282, 519, 7115, 4005, 2099, 922, 7029, 547, 2528, 607, 1134, 607, 32351, 540, 519, 3979, 5389, 602, 941, 2451, 3297, 676, 938, 11937, 269, 3220, 563, 6701, 972, 1022, 5389, 538, 519, 29401, 6243, 888, 763, 29401, 6243, 814, 513, 1360, 3309, 2528, 799, 814, 2813, 513, 2647, 3099, 540, 2189, 5389, 269, 1452, 5389, 723, 3140, 543, 2528, 4644, 1808, 547, 519, 2197, 543, 616, 3810, 9976, 676, 519, 11317, 269, 1403, 596, 616, 9683, 519, 2197, 267, 798, 3054, 513, 12797, 543, 2119, 547, 1995, 607, 1082, 540, 891, 5389, 607, 596, 666, 269, 0, 2080, 779, 519, 8382, 547, 519, 7726, 11540, 593, 9365, 454, 304, 269, 589, 1599, 17838, 1239, 883, 513, 5569, 540, 3197, 543, 519, 5569, 540, 3197, 3112, 581, 20328, 547, 556, 268, 22056, 519, 3312, 1239, 269, 1548, 1826, 540, 1599, 568, 713, 888, 288, 269, 6641, 13240, 14238, 454, 289, 269, 1306, 2096, 13240, 14238, 454, 290, 269, 20837, 29905, 454, 12585, 2139, 2394, 4989, 476, 736, 267, 476, 1001, 277, 563, 347, 7476, 936, 476, 6110, 8232, 266, 630, 306, 312, 271, 268, 25002, 2055, 1934, 1040, 2008, 8450, 3848, 476, 1015, 540, 519, 3281, 2316, 288, 8232, 266, 281, 5192, 26133, 5192, 589, 3650, 281, 20219, 271, 268, 25002, 5530, 6651, 269, 0, 1692, 547, 8415, 1514, 2923, 585, 2257, 2792, 454, 2171, 1590, 8415, 782, 2139, 2200, 269, 9701, 594, 22982, 606, 1473, 1311, 8779, 15580, 286, 5715, 1311, 26959, 10022, 17764, 1470, 4972, 540, 4065, 9802, 476, 1001, 279, 22982, 543, 2422, 269, 1403, 596, 616, 2907, 6899, 609, 707, 2296, 267, 855, 596, 1131, 899, 547, 13217, 621, 267, 1287, 594, 2303, 602, 596, 1224, 834, 21093, 519, 9293, 9406, 2580, 676, 570, 6993, 10611, 269, 4258, 2284, 267, 27752, 781, 6226, 652, 7734, 267, 595, 32385, 10620, 630, 2735, 274, 1040, 898, 13000, 11049, 267, 543, 1256, 1310, 782, 1250, 1995, 594, 4121, 513, 2603, 269, 476, 1708, 271, 268, 6860, 268, 6021, 594, 993, 849, 5461, 538, 930, 2093, 593, 875, 547, 8415, 772, 11862, 3927, 538, 1250, 4928, 269, 1546, 8541, 269, 1234, 18680, 563, 268, 31410, 12190, 1774, 330, 454, 268, 21060, 24996, 7401, 454, 268, 1656, 16699, 813, 1014, 328, 454, 268, 670, 337, 1870, 7649, 10693, 454, 268, 5695, 7288, 1115, 8038, 326, 680, 1846, 454, 268, 700, 656, 332, 7564, 25699, 523, 2892, 320, 454, 268, 3798, 559, 18325, 3413, 328, 454, 268, 14924, 325, 1251, 677, 940, 541, 30458, 454, 268, 4787, 520, 974, 591, 8208, 606, 332, 7564, 331, 4871, 330, 15193, 454, 11039, 267, 519, 3017, 1063, 946, 543, 8415, 666, 581, 1336, 538, 519, 3483, 585, 799, 596, 616, 14139, 1945, 282, 950, 596, 8415, 1945, 267, 596, 2285, 621, 513, 1007, 946, 602, 621, 949, 711, 8385, 723, 1185, 269, 22982, 1797, 547, 4497, 609, 1945, 538, 1931, 547, 9585, 513, 4305, 267, 3035, 513, 3804, 267, 610, 1491, 606, 5413, 267, 855, 1152, 950, 519, 6221, 267, 1184, 610, 3510, 568, 6964, 538, 513, 1259, 602, 4422, 3564, 922, 5497, 946, 269, 13773, 2241, 609, 782, 519, 5468, 596, 8415, 585, 707, 11147, 269, 3203, 1740, 666, 849, 581, 8246, 585, 8695, 945, 616, 11259, 547, 5373, 269, 19928, 1903, 786, 581, 8246, 585, 519, 4324, 540, 938, 4182, 1023, 538, 20279, 269, 13760, 799, 25336, 596, 1058, 8415, 585, 519, 1826, 540, 1788, 596, 22738, 563, 12663, 713, 3014, 8415, 1862, 26012, 667, 17768, 10783, 816, 2353, 332, 7564, 333, 3534, 12210, 15664, 518, 454, 291, 523, 3771, 679, 562, 344, 1374, 1775, 795, 7564, 332, 325, 7238, 7758, 572, 1199, 521, 2088, 535, 7238, 2958, 18033, 978, 732, 267, 679, 3331, 370, 591, 23437, 1775, 17450, 6167, 3951, 590, 12702, 22664, 772, 2316, 299, 22003, 292, 1770, 4009, 1016, 269, 679, 515, 1206, 330, 341, 7310, 520, 282, 737, 341, 7310, 520, 1199, 521, 573, 331, 7564, 978, 6577, 476, 272, 269, 1770, 17242, 1016, 563, 763, 7454, 18467, 547, 22982, 8511, 2093, 1948, 13582, 17924, 1088, 1057, 454, 8687, 271, 269, 32040, 1547, 3351, 1047, 630, 628, 2273, 16512, 13737, 2241, 1459, 3351, 2478, 267, 1459, 32096, 3351, 2358, 267, 2241, 2250, 543, 2250, 32096, 3351, 2213, 264, 8415, 281, 26994, 1648, 666, 581, 8246, 585, 12560, 5301, 269, 8415, 281, 634, 2754, 267, 4352, 609, 930, 17756, 267, 2356, 18252, 922, 2200, 1360, 1134, 269, 8415, 281, 8347, 547, 8415, 707, 16837, 585, 2542, 269, 8415, 281, 1284, 1185, 1732, 8415, 938, 2067, 2200, 269, 3752, 1386, 281, 28982, 2052, 594, 8415, 519, 2201, 15675, 1599, 547, 4159, 7956, 593, 519, 5496, 563, 20597, 1157, 553, 538, 558, 476, 1015, 268, 1428, 642, 731, 26196, 269, 918, 7238, 335, 22982, 31802, 547, 674, 5285, 650, 15783, 338, 1285, 667, 12447, 631, 5062, 10719, 2284, 533, 18033, 645, 758, 639, 2593, 269, 808, 7564, 332, 325, 23152, 522, 577, 5734, 3279, 1033, 3915, 580, 4292, 929, 529, 564, 533, 18033, 16497, 3245, 634, 6762, 281, 1323, 32233, 781, 21887, 593, 1215, 1358, 12706, 12736, 940, 24371, 267, 7767, 538, 7464, 24529, 267, 1299, 22982, 454, 300, 1513, 476, 2537, 267, 476, 1708, 271, 2443, 700, 25893, 23414, 16704, 5058, 281, 8838, 4476, 16332, 640, 281, 22982, 18479, 27323, 781, 476, 275, 30346, 1513, 585, 14568, 9751, 27159, 269, 1684, 596, 917, 875, 707, 2866, 2360, 707, 454, 6944, 9776, 5843, 2675, 2100, 853, 1137, 616, 938, 1883, 2127, 540, 6791, 267, 1141, 649, 1683, 519, 1655, 2009, 3937, 543, 3056, 1702, 593, 875, 547, 8415, 621, 269, 6226, 328, 268, 7659, 781, 1871, 14194, 4765, 2533, 8415, 519, 6791, 540, 6226, 328, 268, 7659, 781, 2930, 543, 1587, 3892, 6887, 609, 513, 3376, 5542, 540, 11891, 2139, 585, 454, 14707, 328, 268, 7659, 781, 1871, 14194, 4765, 2533, 8415, 519, 6791, 540, 6226, 328, 268, 7659, 781, 2930, 543, 1587, 3892, 6887, 609, 513, 3376, 5542, 540, 11891, 2139, 585, 454, 309, 541, 325, 23152, 1917, 337, 7564, 985, 320, 2007, 11489, 1140, 1236, 329, 25917, 535, 328, 2658, 562, 7564, 337, 5918, 737, 534, 1793, 2378, 21542, 521, 7238, 837, 1629, 1199, 7188, 1649, 332, 582, 832, 18033, 326, 286, 744, 577, 642, 559, 8208, 838, 601, 3771, 552, 7217, 331, 3394, 3954, 536, 7564, 560, 320, 454, 763, 674, 307, 966, 580, 2102, 666, 581, 2095, 333, 593, 2901, 606, 661, 5263, 610, 513, 4412, 11839, 14764, 563, 6635, 341, 12921, 604, 974, 7829, 562, 867, 20660, 454, 763, 6073, 540, 6051, 540, 26388, 689, 8246, 2960, 22837, 1310, 26388, 512, 8911, 269, 590, 1842, 6759, 321, 5212, 345, 903, 7288, 9774, 807, 6985, 340, 1990, 579, 1399, 331, 714, 578, 1415, 577, 5212, 25247, 6759, 342, 1236, 6759, 337, 1093, 6095, 11312, 8643, 340, 6985, 578, 2096, 16136, 19508, 1777, 1564, 518, 8415, 570, 559, 325, 21417, 329, 269, 8231, 269, 3143, 267, 519, 3684, 1281, 621, 585, 596, 267, 9001, 513, 9682, 563, 340, 6440, 339, 559, 6440, 1125, 269, 1677, 2322, 547, 946, 267, 2523, 547, 1118, 19311, 610, 2500, 946, 540, 281, 606, 1935, 547, 519, 1966, 602, 18252, 519, 5767, 1382, 282, 875, 2371, 8415, 5567, 547, 3132, 5452, 563, 329, 2129, 2335, 525, 6199, 606, 560, 5306, 8755, 3724, 454, 323, 20683, 13362, 3915, 454, 338, 7238, 6390, 533, 18033, 31908, 2958, 626, 17243, 902, 11133, 1067, 454, 297, 3253, 1125, 2659, 8835, 6355, 281, 22982, 519, 5295, 540, 674, 10621, 547, 454, 25219, 559, 1125, 12261, 1063, 2296, 543, 16528, 1519, 19655, 267, 8847, 267, 543, 1644, 1913, 269, 8415, 815, 538, 336, 20364, 1979, 563, 300, 1731, 6130, 536, 329, 23152, 330, 2006, 1236, 18033, 9188, 335, 601, 732, 454, 290, 571, 1375, 344, 2025, 812, 8380, 1010, 11263, 543, 3946, 547, 2965, 454, 763, 2200, 693, 938, 12871, 1223, 723, 1044, 1732, 8246, 269, 12192, 595, 2337, 519, 1560, 8415, 519, 4401, 1459, 538, 707, 1560, 269, 476, 1708, 272, 268, 6734, 268, 1626, 5788, 8415, 630, 13563, 267, 8225, 267, 10228, 3703, 10259, 264, 661, 22029, 1547, 0, 347, 13750, 618, 1475, 2421, 654, 269, 589, 269, 14642, 13871, 543, 661, 1492, 331, 661, 269, 14642, 13871, 8198, 347, 6944, 1026, 1903, 1475, 11675, 13871, 267, 661, 1492, 331, 661, 8198, 21511, 8447, 8629, 2008, 31871, 540, 9664, 1475, 11793, 2008, 2005, 568, 1360, 2312, 543, 1134, 11295, 267, 855, 621, 568, 711, 606, 4367, 547, 4436, 3842, 4436, 8239, 281, 621, 568, 513, 2689, 543, 1931, 569, 6881, 540, 519, 8239, 585, 1053, 945, 2907, 723, 930, 29872, 766, 609, 519, 1893, 269, 594, 1589, 621, 781, 513, 1434, 1433, 269, 16684, 12937, 15311, 2776, 2183, 476, 272, 269, 9978, 22054, 12856, 476, 273, 269, 7638, 2125, 476, 274, 269, 1520, 11187, 7736, 902, 476, 275, 269, 2776, 21752, 676, 281, 476, 273, 269, 2637, 516, 270, 13528, 281, 22419, 281, 16952, 8447, 14474, 281, 6732, 4528, 281, 11709, 632, 700, 8500, 3122, 267, 20307, 269, 4436, 8239, 585, 2257, 1053, 269, 11785, 267, 1261, 987, 476, 630, 8016 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 855, 621, 786, 1039, 547, 519, 5605, 4800, 543, 8978, 1915, 540, 922, 4087, 563, 347, 13911, 1475, 305, 777, 573, 3690, 527, 1475, 23409, 12565, 1475, 1805, 22901, 8364, 2008, 347, 10048, 3011, 25033, 1475, 305, 2129, 337, 1475, 306, 22044, 839, 1475, 1805, 269, 8402, 2961, 2008, 347, 310, 5954, 1475, 274, 269, 273, 332, 630, 1015, 269, 276, 10623, 564, 10534, 273, 269, 278, 332, 630, 5400, 269, 280, 10623, 564, 10534, 273, 269, 276, 332, 630, 5400, 269, 273, 10623, 564, 10245, 347, 21920, 1475, 2420, 269, 280, 332, 630, 4037, 269, 272, 10623, 564, 10534, 2767, 269, 278, 332, 630, 3445, 269, 280, 10623, 564, 264, 630, 691, 545, 4327, 10534, 1691, 269, 273, 332, 630, 5379, 269, 277, 10623, 564, 10245, 18871, 777, 13369, 1475, 5611, 3193, 1475, 13136, 3193, 1475, 4792, 3193, 2008, 288, 12045, 540, 700, 20670, 568, 1769, 7841, 4028, 18302, 630, 28384, 20670, 1070, 849, 5219, 547, 607, 8752, 5450, 549, 269, 6270, 7841, 1811, 616, 6353, 676, 12600, 2924, 540, 1259, 267, 4359, 5721, 1852, 1949, 267, 2110, 2212, 3118, 12588, 267, 543, 6989, 1377, 27756, 269, 1452, 1949, 1935, 519, 18213, 4390, 540, 2407, 1558, 549, 1949, 267, 855, 666, 581, 14949, 547, 4020, 676, 1210, 519, 2702, 540, 700, 305, 26394, 547, 2490, 512, 7660, 14258, 543, 18214, 588, 2465, 704, 9344, 982, 3044, 681, 20670, 6472, 563, 2304, 1271, 3815, 2629, 547, 700, 20670, 568, 519, 5721, 11346, 269, 9521, 7841, 4028, 18302, 267, 10707, 796, 3430, 2105, 609, 13128, 5721, 5106, 630, 2969, 302, 1070, 519, 11346, 568, 513, 1883, 3693, 538, 513, 2922, 267, 1164, 7779, 700, 20670, 5106, 269, 634, 2601, 602, 519, 11346, 568, 865, 1271, 568, 1317, 519, 5721, 13475, 1419, 2196, 593, 9897, 609, 6517, 269, 1403, 14884, 941, 12747, 593, 9897, 267, 513, 1268, 9327, 1405, 581, 972, 547, 3247, 519, 5721, 952, 513, 1286, 15504, 538, 4395, 540, 621, 269, 8752, 7841, 14884, 616, 2965, 1360, 5230, 547, 2061, 3441, 689, 5222, 609, 6517, 269, 4935, 267, 513, 5721, 609, 11083, 302, 568, 711, 968, 2775, 7841, 6100, 634, 6138, 540, 1769, 7841, 568, 602, 513, 11727, 1268, 1058, 581, 593, 1142, 5721, 547, 4308, 609, 18002, 267, 543, 1247, 602, 1268, 568, 972, 267, 646, 610, 1352, 1522, 607, 1134, 7500, 519, 5721, 563, 763, 5767, 5108, 540, 700, 305, 26394, 814, 519, 5413, 540, 9864, 610, 4628, 1970, 22286, 3233, 1374, 267, 609, 519, 6989, 540, 519, 6472, 1152, 476, 4968, 547, 476, 11740, 6515, 630, 1321, 268, 1691, 6279, 264, 1657, 1283, 540, 7841, 267, 513, 12588, 711, 1336, 538, 2901, 4028, 7841, 18302, 6472, 610, 8265, 322, 1513, 269, 901, 2636, 873, 547, 4452, 15915, 267, 1519, 3283, 538, 8868, 577, 4202, 267, 2047, 689, 1970, 8573, 1047, 5867, 602, 616, 711, 1454, 811, 982, 6659, 2427, 19789, 802, 269, 901, 25389, 4170, 547, 1683, 1569, 547, 16981, 15915, 1510, 1210, 7199, 30523, 3076, 1206, 267, 1247, 693, 519, 1482, 942, 1818, 27756, 5488, 543, 4443, 585, 824, 15915, 607, 1134, 563, 7021, 3650, 3515, 3761, 5201, 547, 519, 5318, 5354, 540, 1769, 7841, 1949, 269, 901, 30417, 519, 8594, 540, 15915, 19480, 593, 606, 18546, 1881, 3791, 7841, 269, 634, 667, 1442, 4133, 8752, 24020, 3096, 513, 3044, 3791, 7841, 585, 922, 5122, 1379, 269, 570, 2449, 538, 645, 867, 324, 14513, 267, 5333, 946, 513, 2027, 3791, 268, 571, 559, 12122, 1141, 519, 1379, 568, 1152, 23564, 593, 9944, 519, 911, 916, 267, 1818, 621, 2922, 593, 2749, 10754, 269, 11153, 1949, 538, 2342, 267, 607, 1134, 607, 513, 1906, 5063, 19945, 2989, 1949, 538, 3345, 3013, 946, 17088, 14617, 14884, 563, 5472, 18302, 3028, 3322, 513, 4123, 4752, 1063, 3432, 543, 4908, 540, 13515, 269, 7896, 602, 3247, 4749, 723, 2539, 2949, 3432, 267, 543, 616, 4061, 1447, 10694, 585, 3476, 15143, 269, 24581, 7841, 267, 1769, 7841, 267, 1395, 528, 841, 267, 543, 22084, 21826, 3690, 527, 616, 782, 3029, 540, 4028, 18302, 2443, 799, 3622, 19752, 1164, 3432, 543, 4922, 17898, 3166, 13515, 269, 570, 2449, 616, 513, 1106, 540, 2199, 18302, 267, 1818, 811, 7928, 13515, 563, 8450, 1292, 2376, 281, 570, 1090, 543, 1769, 268, 571, 559, 18302, 1949, 563, 32481, 519, 1158, 972, 616, 1082, 911, 332, 1949, 282, 930, 4266, 1394, 689, 519, 2038, 476, 736, 628, 2540, 855, 9118, 1297, 540, 519, 2025, 1949, 941, 6806, 1524, 609, 519, 9868, 540, 1082, 8109, 2342, 2477, 538, 519, 4571, 268, 736, 628, 2540, 269, 4634, 1498, 1082, 540, 519, 1949, 723, 6806, 1524, 936, 519, 1296, 972, 616, 1869, 911, 332, 1949, 602, 723, 1044, 5665, 1454, 607, 789, 1705, 950, 789, 941, 1101, 3710, 936, 513, 2540, 3516, 269, 2368, 4872, 630, 7945, 607, 11968, 13353, 543, 14948, 4975, 264, 602, 723, 2899, 6806, 1524, 741, 911, 332, 5121, 616, 1631, 538, 519, 5933, 540, 18949, 532, 267, 610, 723, 32206, 267, 930, 540, 741, 911, 332, 1811, 269, 7197, 540, 1769, 7841, 2533, 616, 4867, 8149, 547, 13994, 4327, 6472, 899, 2413, 700, 305, 26394, 267, 1775, 4318, 269, 911, 916, 267, 609, 9868, 540, 1804, 11895, 1558, 549, 17882, 338, 563, 3080, 1899, 540, 1769, 7841, 814, 811, 982, 476, 279, 2053, 519, 4390, 540, 835, 26738, 540, 1863, 3118, 1282, 8445, 2053, 269, 10003, 338, 723, 10700, 4390, 7182, 799, 666, 581, 5462, 676, 6808, 4702, 269, 1358, 2356, 1995, 513, 26093, 15059, 538, 2095, 543, 513, 10565, 6749, 538, 3432, 630, 322, 3326, 13228, 6053, 1634, 607, 513, 6808, 25888, 264, 952, 789, 9765, 827, 476, 273, 267, 1822, 6472, 829, 5662, 829, 26738, 630, 26421, 1286, 10199, 1079, 7643, 3297, 1776, 1040, 4595, 1034, 1004, 945, 5397, 547, 960, 610, 593, 1870, 15143, 798, 865, 4805, 267, 2090, 1397, 602, 519, 3328, 1286, 5003, 3599, 593, 1082, 9897, 8876, 862, 26407, 568, 1152, 827, 476, 272, 269, 273, 1004, 829, 1286, 1282, 519, 1164, 24683, 663, 19060, 5662, 5712, 540, 519, 1554, 269, 1547, 901, 4999, 540, 2188, 7182, 9897, 8876, 1152, 18914, 862, 26407, 547, 513, 5021, 540, 827, 476, 273, 267, 6110, 15915, 829, 5662, 829, 26738, 269, 634, 1966, 666, 581, 7339, 730, 676, 1210, 1164, 268, 21232, 3599, 6174, 630, 9816, 309, 264, 28961, 543, 10962, 11878, 6879, 2130, 3292, 267, 855, 538, 1034, 2665, 519, 3070, 7550, 814, 1044, 547, 1039, 811, 28961, 547, 519, 9897, 269, 11822, 12980, 2982, 602, 538, 1931, 547, 4163, 476, 736, 267, 1822, 18914, 862, 26407, 829, 5662, 829, 4287, 267, 513, 1863, 3118, 1590, 581, 693, 2547, 476, 1240, 28961, 2647, 563, 3528, 4334, 267, 1769, 7841, 6472, 666, 2951, 538, 3818, 21307, 14884, 8876, 909, 547, 476, 736, 267, 1822, 15915, 829, 5662, 538, 1454, 7522, 518, 2924, 6361, 17574, 267, 711, 1454, 811, 982, 1079, 1286, 28961, 2647, 585, 513, 5595, 3950, 1062, 269, 1358, 666, 1419, 581, 2196, 998, 4540, 2749, 10754, 543, 11614, 267, 610, 5116, 538, 519, 1199, 2103, 540, 9897, 269, 1403, 2196, 538, 10754, 267, 14884, 616, 2356, 3908, 676, 2749, 3625, 13080, 547, 827, 2185, 476, 5197, 1790, 817, 10152, 6472, 630, 24798, 15915, 1040, 21952, 593, 476, 273, 8792, 2212, 1811, 1210, 6808, 5365, 11144, 267, 513, 1134, 27059, 1079, 13652, 1188, 1062, 666, 6023, 909, 547, 476, 1789, 14884, 829, 5662, 829, 3950, 267, 8236, 8445, 3928, 540, 936, 476, 736, 267, 1822, 15915, 829, 5662, 538, 1142, 4287, 269, 2859, 4359, 1949, 609, 5094, 2924, 6361, 17574, 1210, 3001, 3625, 1129, 16226, 666, 9765, 476, 1839, 267, 1822, 15915, 829, 5662, 829, 3950, 563, 7197, 3345, 1977, 1769, 7841, 1949, 616, 3908, 676, 3747, 2864, 982, 4390, 543, 25864, 3914, 476, 1015, 267, 1822, 15915, 829, 5662, 829, 3950, 267, 543, 7893, 519, 15915, 829, 4890, 13304, 540, 3950, 720, 5288, 15915, 5645, 829, 4683, 1863, 3118, 28961, 267, 519, 4683, 1863, 3118, 26738, 11438, 811, 6808, 585, 513, 2484, 4130, 2229, 13564, 344, 267, 855, 1949, 11992, 538, 519, 1158, 1419, 723, 1454, 2362, 18213, 12531, 269, 634, 2494, 10042, 8752, 12565, 3690, 527, 3590, 568, 835, 540, 519, 5207, 4390, 3283, 267, 2348, 1373, 18175, 24612, 538, 513, 3126, 540, 20073, 687, 547, 6023, 476, 2412, 267, 1822, 15915, 829, 5662, 829, 4287, 267, 543, 4867, 8876, 909, 547, 476, 6110, 267, 1822, 15915, 829, 1554, 593, 922, 7412, 1948, 272, 269, 898, 31267, 713, 4320, 676, 4881, 476, 275, 21307, 14884, 540, 909, 547, 476, 13670, 271, 15915, 693, 513, 4908, 540, 909, 547, 476, 1789, 14884, 829, 5662, 563, 763, 1942, 540, 1769, 7841, 4070, 9775, 4922, 267, 7361, 4470, 593, 519, 2179, 540, 15993, 532, 543, 11506, 3889, 2838, 269, 589, 5619, 540, 3345, 1977, 1769, 7841, 3785, 2982, 602, 3790, 540, 1034, 700, 20670, 1949, 2039, 689, 1269, 1428, 2929, 829, 13304, 547, 936, 1269, 1911, 2929, 829, 13304, 269, 22208, 781, 1007, 1769, 7841, 1062, 568, 676, 2484, 519, 1034, 7199, 538, 519, 772, 2529, 269, 693, 1269, 9692, 2929, 829, 13304, 267, 2094, 621, 2882, 3573, 15993, 532, 538, 4057, 3037, 2175, 267, 11506, 6810, 267, 543, 10473, 607, 2620, 607, 476, 5197, 3952, 2630, 2666, 1377, 269, 1452, 1267, 538, 3790, 811, 6093, 540, 1016, 1811, 610, 4028, 18302, 1949, 982, 1769, 7841, 269, 2311, 519, 824, 1439, 540, 519, 4336, 267, 2185, 1949, 630, 289, 5306, 20095, 11022, 267, 6682, 6577, 27359, 267, 15762, 26963, 334, 11404, 267, 543, 17865, 8235, 4975, 29031, 264, 30309, 3790, 540, 1447, 982, 1269, 736, 2929, 829, 13304, 269, 3683, 519, 772, 2529, 269, 607, 513, 2898, 267, 27195, 22208, 267, 1007, 1769, 7841, 4070, 3790, 3328, 827, 1269, 3374, 2929, 829, 13304, 269, 1635, 6476, 267, 513, 1863, 3118, 26738, 7269, 3335, 3790, 1269, 736, 2929, 829, 26738, 13304, 585, 1079, 8846, 269, 476, 4595, 513, 1769, 7841, 1899, 666, 4163, 476, 736, 267, 1822, 1004, 829, 5662, 607, 3379, 609, 476, 273, 267, 6110, 1004, 829, 5662, 585, 513, 1863, 3118, 26738, 1282, 8445, 2053, 267, 1769, 7841, 20205, 476, 275, 2053, 519, 20316, 3146, 9134, 1761, 829, 13362, 607, 31278, 1863, 3118, 28961, 563, 23382, 1456, 19814, 7269, 609, 700, 20670, 4070, 666, 4688, 3790, 676, 3257, 1312, 19814, 9283, 543, 7841, 4070, 693, 519, 1482, 942, 269, 1306, 606, 1383, 267, 28631, 781, 570, 268, 3918, 311, 630, 9558, 1636, 566, 28841, 264, 1788, 32206, 954, 8063, 28565, 476, 1839, 543, 476, 18597, 543, 3773, 513, 1769, 268, 571, 559, 7269, 585, 513, 2698, 1942, 540, 1269, 272, 269, 6858, 5479, 936, 2947, 1296, 269, 634, 1942, 540, 476, 1704, 5195, 540, 19814, 9283, 543, 476, 866, 5195, 540, 5595, 13652, 1188, 1769, 7841, 5249, 856, 547, 1269, 866, 269, 274, 2929, 829, 19814, 26738, 28902, 543, 1269, 2767, 269, 277, 2929, 829, 700, 20670, 3950, 28902, 269, 634, 1788, 3357, 538, 896, 6578, 543, 476, 2420, 3275, 6619, 540, 8430, 563, 299, 20670, 1942, 4398, 10607, 13497, 607, 7759, 11429, 4679, 267, 607, 666, 581, 2938, 689, 519, 2338, 1657, 281, 519, 1482, 7841, 1899, 267, 609, 2147, 3854, 543, 5665, 3790, 267, 568, 2484, 811, 3608, 952, 621, 568, 8876, 476, 736, 267, 1822, 1004, 829, 5662, 982, 952, 621, 568, 8876, 476, 13301, 271, 269, 634, 2836, 326, 776, 267, 22598, 595, 6874, 1778, 1031, 1082, 1455, 1769, 7841, 2553, 547, 1832, 3790, 1970, 267, 1519, 10893, 11895, 543, 11506, 3950, 720, 267, 4687, 18302, 544, 8712, 609, 21772, 267, 682, 2084, 2924, 6361, 17574, 689, 26708, 16456, 338, 267, 543, 9256, 700, 20670, 4070, 609, 1863, 3118, 7269, 269, 1306, 513, 1267, 267, 2836, 326, 776, 16034, 4724, 519, 1447, 7199, 1439, 540, 519, 4336, 609, 3854, 3790, 540, 1472, 1269, 2190, 2929, 829, 13304, 563, 4913, 267, 2836, 326, 776, 781, 700, 20670, 7759, 11429, 568, 1454, 2362, 982, 1022, 13380, 772, 2529, 269, 2749, 693, 936, 476, 7742, 267, 1822, 26055, 829, 3018, 1485, 543, 607, 513, 1267, 922, 4398, 540, 3854, 568, 849, 1454, 2362, 269, 4706, 3854, 3790, 941, 476, 414, 483, 497, 602, 540, 519, 5842, 17630, 1062, 267, 513, 4086, 2406, 21092, 835, 538, 519, 772, 2529, 1421, 1247, 922, 7759, 11429, 568, 5111, 7466, 607, 1164, 269, 4935, 267, 2836, 326, 776, 781, 3854, 1942, 829, 3018, 1485, 31115, 568, 1447, 982, 835, 10116, 602, 540, 5842, 17630, 269, 4706, 5665, 3790 ]

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

[ 1633, 593, 519, 9533, 5032, 547, 3703, 12052, 593, 519, 7414, 5032, 269, 4516, 568, 5594, 3677, 982, 519, 2136, 2276, 267, 922, 7013, 16705, 267, 855, 814, 1152, 827, 513, 20870, 607, 1082, 1004, 269, 2859, 982, 476, 2764, 2929, 1004, 2661, 538, 4516, 269, 6168, 476, 4037, 2600, 2661, 1369, 476, 1911, 5195, 630, 5611, 21240, 264, 540, 519, 7013, 8473, 269, 13518, 540, 519, 1964, 540, 4516, 568, 796, 514, 4725, 1243, 610, 6094, 569, 20651, 1317, 519, 2197, 814, 27726, 14099, 543, 513, 4049, 2916, 563, 28657, 568, 513, 2244, 540, 1390, 3099, 269, 18975, 532, 10239, 267, 2312, 12647, 267, 543, 18932, 7733, 1118, 519, 2484, 7178, 513, 3148, 540, 1390, 2067, 5898, 269, 674, 691, 615, 24654, 267, 4610, 540, 10568, 543, 824, 9274, 3382, 5318, 9299, 597, 625, 269, 1452, 15417, 3484, 4133, 4334, 12667, 569, 609, 519, 11848, 729, 339, 601, 1343, 547, 519, 5087, 269, 4107, 540, 519, 4182, 781, 4102, 2551, 543, 4853, 18013, 616, 4092, 2282, 519, 4279, 20463, 543, 519, 853, 269, 18039, 5211, 538, 3844, 4516, 269, 769, 519, 7532, 267, 10068, 14252, 543, 22501, 17822, 12297, 519, 2197, 781, 9533, 5032, 563, 12024, 519, 2197, 781, 5251, 267, 4516, 781, 1004, 616, 849, 9867, 269, 6168, 476, 3393, 2600, 540, 782, 23671, 723, 930, 2296, 22693, 269, 6168, 476, 4029, 2600, 723, 930, 3943, 22693, 269, 589, 1507, 6871, 540, 1004, 538, 891, 2516, 723, 1312, 2296, 543, 3943, 22693, 269, 634, 8225, 2229, 2369, 2478, 1312, 2296, 543, 3943, 607, 4013, 4654, 269, 3943, 23671, 267, 1034, 540, 7247, 2661, 538, 519, 11662, 540, 20563, 267, 723, 6854, 519, 1893, 543, 1082, 9821, 540, 741, 11937, 269, 4033, 1804, 6803, 2516, 538, 4516, 1331, 4436, 267, 9721, 267, 543, 13677, 1004, 269, 5375, 4516, 543, 14411, 723, 1804, 2338, 540, 1306, 2103, 563, 30943, 9082, 910, 1977, 12075, 543, 27478, 630, 845, 28861, 1572, 10507, 330, 574, 657, 264, 910, 1118, 909, 827, 476, 274, 2600, 540, 519, 4182, 781, 2551, 563, 5415, 982, 1614, 21144, 2195, 540, 4516, 781, 1004, 2661, 538, 4872, 610, 10034, 269, 17842, 267, 13115, 1421, 543, 27292, 267, 6581, 1421, 616, 519, 1079, 4102, 4683, 2127, 538, 4516, 269, 634, 17842, 1858, 814, 827, 476, 274, 476, 274, 270, 275, 2929, 1004, 267, 543, 519, 27292, 1858, 814, 827, 476, 274, 476, 272, 270, 275, 2929, 1004, 563, 288, 5763, 540, 2067, 2200, 568, 4516, 781, 6574, 15896, 269, 3864, 13896, 1101, 3357, 547, 4516, 547, 3165, 538, 922, 9381, 7297, 543, 547, 15972, 519, 9663, 24481, 2831, 538, 922, 7733, 269, 13536, 267, 519, 7733, 2968, 2959, 540, 16025, 585, 6928, 20761, 543, 824, 4070, 269, 4653, 267, 17870, 6229, 689, 891, 7733, 6087, 4516, 547, 1291, 519, 1158, 538, 519, 2504, 540, 3377, 2745, 630, 17549, 585, 14786, 1040, 674, 1068, 850, 3037, 2337, 4516, 7584, 1851, 519, 1158, 781, 3056, 10568, 12696, 269, 8729, 547, 1379, 2371, 593, 922, 22800, 8933, 267, 4516, 16034, 609, 519, 2136, 2276, 607, 513, 6205, 538, 519, 5108, 540, 32394, 1379, 269, 1773, 550, 3814, 2200, 540, 19386, 267, 4401, 7626, 267, 543, 824, 6886, 1683, 6151, 2326, 602, 948, 1118, 4516, 513, 1283, 5663, 4182, 563, 28657, 568, 513, 10480, 3130, 630, 684, 542, 264, 540, 476, 1015, 16899, 543, 476, 273, 11182, 269, 634, 4182, 781, 2012, 4440, 2501, 689, 737, 534, 1092, 10275, 517, 267, 606, 594, 549, 638, 12251, 4095, 2262, 602, 1797, 547, 519, 8498, 610, 547, 519, 1507, 8075, 269, 4653, 267, 4509, 513, 2631, 540, 2146, 568, 835, 540, 4516, 781, 2101, 2042, 1317, 540, 3604, 1851, 519, 16899, 543, 11182, 269, 3509, 23671, 538, 9456, 543, 7262, 2127, 1745, 602, 519, 5313, 2229, 1281, 711, 2628, 2614, 3007, 547, 741, 1880, 2042, 543, 4690, 269, 3943, 23671, 1118, 909, 827, 476, 3199, 2600, 540, 519, 2551, 540, 20563, 269, 3509, 540, 891, 1004, 3494, 741, 11662, 1058, 4309, 2027, 6284, 538, 519, 8225, 11156, 269, 634, 11662, 814, 5293, 9086, 6322, 693, 7863, 519, 3943, 1893, 543, 2528, 563, 28657, 568, 606, 4830, 267, 1582, 3766, 1478, 940, 4182, 269, 1809, 519, 9139, 2920, 540, 476, 2735, 273, 2369, 2478, 519, 3703, 16313, 267, 10348, 10906, 4083, 540, 519, 2136, 8003, 267, 607, 15596, 540, 4516, 269, 901, 2990, 3090, 2478, 519, 2197, 781, 2178, 13218, 547, 6628, 269, 6628, 12199, 4516, 4625, 2394, 476, 5908, 278, 267, 950, 4516, 6591, 1852, 540, 922, 6469, 12602, 269, 6628, 4797, 547, 1827, 4516, 781, 4914, 12602, 2394, 476, 4350, 272, 267, 950, 4516, 6591, 2407, 7115, 269, 4516, 543, 519, 2136, 2276, 723, 1185, 513, 2078, 540, 9316, 543, 11505, 2094, 519, 476, 5197, 271, 781, 269, 1809, 519, 2136, 2276, 910, 1317, 540, 922, 3677, 2551, 543, 3152, 2804, 1379, 910, 814, 22157, 547, 20441, 4516, 1312, 15520, 543, 17215, 269, 634, 1004, 540, 4516, 2221, 616, 20678, 547, 2226, 1852, 540, 741, 4346, 543, 547, 16102, 741, 8225, 3961, 563, 274, 267, 279, 5392, 267, 6858, 275, 13483, 269, 11465, 269, 630, 280, 267, 280, 3583, 267, 29637, 13483, 269, 5998, 1070, 1519, 476, 29720, 267, 276, 6507, 13483, 269, 11465, 269, 630, 4037, 276, 267, 5197, 13483, 269, 5998, 264, 540, 24654, 1216, 563, 324, 770, 29891, 267, 476, 274, 267, 23417, 11465, 269, 630, 276, 267, 6942, 5998, 1070, 689, 15729, 4325, 541, 267, 715, 325, 671, 1421, 547, 6778, 853, 269, 18379, 553, 267, 962, 11053, 269, 3248, 333, 2180, 1606, 1926, 267, 476, 273, 267, 279, 4037, 11465, 269, 630, 275, 267, 277, 2767, 5998, 1070, 689, 15729, 12052, 593, 4432, 956, 332, 699, 6816, 547, 5664, 6816, 538, 8235, 661, 4471, 563, 10870, 770, 1467, 910, 476, 14681, 267, 4366, 276, 11465, 269, 630, 25838, 267, 8064, 272, 5998, 1070, 1519, 22163, 543, 10195, 3248, 4263, 23007, 7909, 267, 476, 2764, 267, 25171, 11465, 269, 630, 3393, 267, 6021, 273, 5998, 11850, 6635, 8157, 7909, 267, 476, 11025, 267, 277, 7176, 11465, 269, 630, 15836, 267, 5400, 280, 5998, 11850, 295, 644, 5459, 7345, 267, 23747, 26463, 267, 543, 6276, 7345, 267, 476, 2190, 267, 4281, 277, 11465, 269, 630, 4375, 267, 279, 3445, 5998, 11850, 303, 6680, 7909, 267, 476, 1428, 267, 280, 5952, 11465, 269, 630, 1839, 267, 278, 2918, 5998, 1916, 4537, 648, 1467, 910, 4279, 20463, 267, 476, 276, 267, 25172, 11465, 269, 630, 279, 267, 3393, 273, 5998, 1916, 295, 580, 4554, 910, 6778, 8298, 534, 267, 476, 866, 267, 276, 2190, 10264, 269, 630, 276, 267, 4817, 272, 544, 264, 1657, 4262, 1377, 563, 20181, 652, 910, 4262, 1377, 563, 15307, 13846, 476, 1960, 277, 2551, 910, 476, 2764, 267, 3445, 273, 267, 1822, 282, 5860, 267, 476, 279, 7606, 829, 13483, 269, 11465, 269, 630, 274, 829, 13483, 269, 5998, 5148, 3892, 267, 476, 4281, 2600, 4683, 267, 476, 2420, 2600, 6917, 269, 476, 1960, 272, 14829, 910, 476, 2767, 267, 30640, 267, 5952, 280, 269, 6480, 13846, 476, 1220, 272, 2551, 910, 476, 1789, 267, 4281, 278, 267, 1822, 563, 13070, 3472, 675, 910, 14132, 12418, 267, 5144, 267, 10568, 267, 554, 9233, 267, 17944, 267, 666, 7637, 267, 5798, 563, 293, 5109, 2872, 910, 26029, 267, 10981, 3122, 267, 13687, 563, 20288, 2722, 910, 838, 16078, 267, 12566, 267, 535, 597, 563, 10048, 3011, 1005, 910, 5179, 6472, 543, 2694, 282, 9268, 3536, 543, 16098, 282, 6464, 282, 5122, 3937, 282, 1957, 2472, 282, 29959, 4496, 2472, 282, 11956, 282, 5374, 267, 543, 824, 8407, 282, 3574, 2472, 563, 300, 1456, 910, 19386, 267, 2067, 3154, 267, 7601, 267, 4154, 267, 19695, 267, 5755, 267, 13058, 267, 1494, 1662, 267, 4401, 7626, 563, 28590, 280, 5195, 689, 5507, 454, 14875, 307, 910, 276, 3108, 454, 17220, 8484, 18772, 454, 17220, 3866, 1782, 3009, 454, 4692, 6598, 667, 20683, 630, 21020, 994, 12626, 543, 3943, 454, 272, 5147, 910, 4516, 4303, 454, 23873, 4400, 8189, 454, 3199, 4432, 6265, 9335, 454, 302, 660, 9222, 918, 272, 303, 476, 276, 298, 278, 454, 5938, 548, 7483, 630, 876, 476, 272, 264, 630, 277, 1724, 264, 476, 26801, 15150, 273, 454, 28770, 11765, 1297, 856, 540, 5604, 3108, 2016, 593, 5604, 642, 18757, 16942, 1062, 454, 28926, 2287, 3108, 476, 5400, 274, 271, 547, 476, 14321, 271, 11728, 547, 11016, 630, 29985, 942, 994, 274, 7299, 13164, 540, 2699, 267, 3043, 543, 2699, 609, 513, 2699, 25308, 6978, 10704, 538, 519, 3043, 6512, 454, 290, 1901, 7638, 1372, 568, 606, 3979, 2197, 602, 5161, 540, 476, 1015, 1292, 10195, 543, 476, 276, 6263, 10195, 269, 898, 6013, 538, 519, 9533, 7909, 267, 827, 476, 6110, 5195, 630, 25953, 21240, 264, 7178, 540, 667, 752, 541, 267, 7354, 20235, 267, 593, 519, 3979, 22163, 269, 15729, 7638, 1372, 814, 513, 2698, 2244, 1858, 540, 476, 272, 267, 4649, 278, 4009, 5195, 630, 275, 267, 30033, 4009, 21240, 1040, 590, 7776, 23621, 6210, 267, 519, 4102, 6532, 267, 6227, 476, 4343, 274, 4009, 5195, 630, 4200, 272, 4009, 21240, 1040, 16114, 334, 4165, 7776, 568, 519, 2034, 4102, 6532, 267, 4553, 676, 4425, 320, 966, 16695, 267, 674, 690, 334, 267, 590, 7776, 12832, 565, 879, 267, 8575, 1470, 267, 590, 7776, 30647, 25366, 267, 6428, 267, 4858, 9366, 267, 543, 13244, 13198, 345, 807, 269, 13244, 13198, 345, 807, 543, 519, 2947, 568, 7410, 616, 796, 514, 4725, 1243, 269, 16217, 807, 267, 519, 3854, 543, 4102, 2749, 267, 568, 593, 590, 7776, 23621, 6210, 269, 898, 814, 513, 2551, 540, 827, 476, 7830, 267, 1822, 543, 568, 513, 2101, 694, 777, 677, 543, 9467, 4099, 269, 17577, 12199, 519, 10195, 689, 519, 476, 16409, 271, 781, 2394, 789, 6591, 7115, 538, 476, 3192, 276, 563, 276, 1704, 11465, 269, 630, 280, 5780, 5998, 1916, 295, 580, 4554, 910, 623, 4815, 267, 476, 280, 267, 27005, 10264, 269, 630, 273, 267, 279, 3066, 544, 1916, 20181, 652, 910, 4262, 1377, 563, 15307, 13846, 476, 1960, 277, 2551, 910, 476, 25396, 267, 1822, 282, 5860, 267, 476, 28510, 7606, 829, 13483, 269, 11465, 269, 630, 13040, 829, 13483, 269, 5998, 5148, 3892, 267, 476, 6924, 2600, 6917, 267, 476, 3953, 2600, 4683, 269, 476, 1960, 271, 14829, 910, 476, 30130, 267, 5392, 272, 269, 6480, 13846, 476, 1220, 272, 2551, 910, 476, 275, 3445, 267, 1822, 563, 289, 534, 11446, 267, 6070, 267, 4006, 29647, 563, 763, 9206, 814, 2947, 8880, 26145, 540, 4544, 267, 3043, 267, 2699, 267, 3043, 267, 543, 4544, 269, 589, 8258, 540, 476, 1015, 5835, 267, 2947, 15304, 539, 6801, 6772, 2355, 782, 2947, 26145, 269, 898, 568, 1305, 4724, 519, 2539, 2451, 851, 540, 519, 9206, 563, 290, 599, 2006, 11866, 267, 513, 3703, 21341, 267, 6013, 827, 476, 1220, 5195, 630, 17168, 21240, 264, 22070, 540, 25706, 538, 519, 12144, 7256, 269, 634, 1614, 10195, 602, 1106, 519, 1895, 910, 9835, 595, 599, 2006, 267, 9741, 595, 599, 2006, 267, 543, 595, 599, 2006, 645, 2350, 910, 3382, 827, 476, 1911, 4009, 5195, 630, 28796, 4009, 21240, 1070, 543, 723, 827, 476, 1789, 267, 1822, 1004, 269, 634, 3854, 543, 4102, 2749, 267, 31869, 1326, 1144, 267, 6013, 593, 9835, 595, 599, 2006, 267, 519, 4102, 6532, 269, 12525, 525, 616, 5393, 1970, 538, 519, 595, 599, 2006, 11866, 269, 1306, 513, 1267, 267, 1082, 3549, 689, 824, 3338, 2932, 1870, 972, 269, 1452, 4213, 543, 9235, 3565, 7494, 547, 519, 4346, 269, 16581, 2504, 568, 1970, 538, 519, 595, 599, 332, 753, 267, 543, 1034, 1426, 1590, 581, 16865, 563, 290, 7728, 305, 3201, 589, 15709, 2975, 3198, 29187, 308, 13993, 2975, 454, 23338, 3979, 6243, 568, 513, 6094, 569, 20651, 2197, 538, 519, 8998, 540, 4000, 269, 4107, 540, 519, 6239, 3979, 6243, 568, 513, 5318, 267, 12902, 29415, 7745, 676, 2620, 5757, 23898, 269, 23420, 543, 16559, 4054, 3382, 1034, 540, 519, 2197, 269, 14175, 7733, 1332, 538, 519, 22236, 267, 543, 519, 3665, 22583, 3296, 568, 25545, 269, 4165, 601, 2100, 267, 10889, 531, 3996, 267, 19246, 267, 27580, 25022, 267, 21495, 267, 28591, 665, 518, 4680, 267, 543, 824, 2831, 2661, 538, 519, 6239, 3979, 6243, 563, 763, 6239, 3979, 6243, 568, 835, 540, 519, 2547, 2919, 2477, 538, 4000, 269, 4107, 540, 519, 1004, 616, 6705, 267, 543, 519, 2197, 814, 2370, 5663, 269, 634, 2197, 729 ]

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

[ 811, 5059, 543, 2087, 5834, 538, 519, 4305, 693, 1688, 563, 17572, 32766, 616, 5363, 547, 2322, 6780, 10467, 607, 1134, 607, 824, 1271, 4574, 538, 267, 865, 789, 616, 711, 4503, 563, 16352, 3758, 32766, 948, 1832, 1053, 811, 6896, 543, 1447, 2693, 547, 6336, 1271, 4574, 789, 991, 547, 2347, 547, 8011, 538, 543, 3544, 540, 519, 4928, 269, 6755, 15078, 616, 835, 540, 519, 3688, 649, 991, 1034, 540, 269, 1358, 616, 30701, 519, 2656, 652, 282, 4061, 721, 3610, 5660, 607, 1082, 22796, 607, 649, 666, 1205, 585, 938, 1053, 563, 22826, 568, 519, 1152, 2816, 596, 3513, 21102, 7727, 689, 1753, 547, 1491, 547, 960, 563, 2791, 24946, 2047, 547, 519, 4116, 610, 1788, 596, 1416, 827, 543, 1294, 1141, 1169, 13362, 596, 2285, 4422, 563, 22091, 663, 519, 834, 8489, 707, 21856, 4422, 257, 3296, 2630, 547, 1294, 4010, 1018, 11427, 269, 590, 29229, 568, 31392, 2529, 2465, 938, 18083, 454, 2791, 666, 1376, 513, 1788, 609, 519, 1482, 2200, 1373, 16761, 1934, 2336, 347, 311, 268, 3722, 15674, 24581, 667, 14280, 8381, 2871, 650, 13534, 2558, 20810, 267, 476, 1428, 769, 2583, 3040, 8835, 6355, 28390, 7918, 269, 4037, 1475, 272, 28390, 7918, 269, 4037, 2008, 18871, 2001, 7637, 10089, 330, 4460, 619, 267, 8299, 571, 11162, 267, 16340, 7412, 267, 476, 1220, 4032, 4147, 17569, 267, 25169, 762, 3040, 8835, 6355, 28390, 7906, 269, 6507, 1475, 272, 28390, 7906, 269, 6507, 2008, 347, 7742, 623, 322, 631, 9298, 6755, 4290, 2667, 24142, 910, 22952, 1299, 769, 1417, 1161, 1299, 6755, 15078, 3040, 8835, 6355, 28390, 4375, 269, 4200, 1475, 272, 28390, 4375, 269, 4200, 2008, 347, 9928, 582, 577, 17677, 590, 3660, 7043, 6441, 8463, 570, 1901, 7248, 1807, 267, 32719, 550, 267, 476, 272, 270, 273, 1535, 476, 12010, 769, 2583, 267, 476, 277, 17029, 3149, 630, 277, 4792, 268, 277, 268, 8182, 264, 3040, 8835, 6355, 28390, 4391, 269, 6872, 1475, 272, 28390, 4391, 269, 6872, 2008, 16085, 9405, 1467, 476, 4366, 273, 876, 5800, 762, 11272, 853, 320, 16980, 267, 9509, 853, 8692, 267, 476, 736, 4149, 18694, 27519, 267, 4563, 3040, 8835, 6355, 28390, 1789, 269, 5038, 1475, 272, 28390, 1789, 269, 5038, 2008, 347, 10112, 9285, 7822, 995, 8866, 6755, 15078, 630, 13893, 13268, 264, 3040, 8835, 6355, 28390, 2420, 269, 4962, 1475, 272, 28390, 2420, 269, 4962, 2008, 347, 3849, 27700, 476, 13136, 268, 12893, 268, 276, 11638, 6874, 11391, 3794, 826, 853, 6506, 267, 476, 1015, 10759, 9509, 12025, 267, 476, 276, 623, 895, 13340, 3040, 8835, 6355, 28390, 736, 269, 3583, 1475, 272, 28390, 736, 269, 3583, 2008, 347, 14976, 1067, 781, 2598, 1952, 8960, 31947, 3427, 3794, 826, 267, 25169, 762, 267, 476, 2568, 13268, 3040, 8835, 6355, 28390, 1240, 269, 4200, 1475, 272, 28390, 1240, 269, 4200, 2008, 347, 10712, 1737, 670, 4474, 11711, 674, 27212, 609, 21741, 267, 476, 272, 270, 276, 4211, 583, 17797, 762, 21741, 267, 13751, 12025, 267, 2667, 9285, 12729, 27413, 267, 476, 1839, 829, 13340, 630, 5038, 272, 6795, 264, 3040, 8835, 6355, 28390, 1240, 269, 1626, 1475, 272, 28390, 1240, 269, 1626, 2008, 347, 14976, 1067, 781, 2353, 20828, 3427, 3794, 826, 853, 6506, 267, 25169, 762, 267, 476, 2568, 13268, 267, 476, 271, 269, 2190, 268, 8784, 16853, 3040, 8835, 6355, 28390, 1704, 269, 2004, 1475, 272, 28390, 1704, 269, 2004, 2008, 30106, 1815, 4462, 924, 476, 2568, 26629, 806, 21253, 1043, 645, 754, 344, 9941, 6755, 15078, 7822, 995, 22367, 701, 6755, 4290, 609, 8210, 6471, 3040, 8835, 6355, 28390, 1691, 269, 4200, 1475, 272, 28390, 1691, 269, 4200, 2008, 347, 13052, 17269, 476, 4572, 4037, 273, 277, 8899, 14114, 323, 528, 16959, 8210, 848, 4460, 619, 267, 932, 529, 601, 17785, 267, 966, 2320, 656, 27413, 267, 476, 1626, 4211, 870, 3040, 8835, 6355, 28390, 1724, 269, 7906, 1475, 272, 28390, 1724, 269, 7906, 2008, 347, 8649, 7571, 15368, 923, 7537, 313, 25002, 11711, 674, 1245, 619, 910, 14594, 12025, 630, 1911, 13268, 264, 910, 2667, 9285, 27413, 3040, 8835, 6355, 28390, 1321, 269, 6321, 1475, 272, 28390, 1321, 269, 6321, 2008, 347, 10712, 1737, 670, 4474, 11711, 674, 27212, 609, 21741, 267, 476, 272, 270, 276, 4211, 583, 17797, 762, 21741, 267, 14594, 12025, 267, 2667, 9285, 12729, 27413, 267, 476, 1839, 3131, 13340, 630, 25953, 6795, 264, 3040, 8835, 6355, 28390, 1556, 269, 3583, 1475, 272, 28390, 1556, 269, 3583, 2008, 347, 15045, 21715, 16904, 267, 5549, 269, 717, 601, 25578, 6833, 337, 881, 14430, 267, 476, 2004, 524, 339, 3040, 8835, 6355, 28390, 280, 269, 4391, 1475, 272, 28390, 280, 269, 4391, 2008, 347, 295, 320, 1177, 809, 344, 17718, 781, 5753, 21253, 1043, 9941, 6755, 4290, 18903, 645, 754, 3427, 8342, 16811, 267, 476, 1789, 623, 19991, 3040, 8835, 6355, 28390, 279, 269, 4200, 1475, 272, 28390, 279, 269, 4200, 2008, 347, 13729, 540, 476, 5611, 910, 6755, 4290, 5440, 8210, 6471, 595, 2355, 2073, 1721, 8866, 267, 10089, 330, 267, 2667, 9285, 27413, 3040, 8835, 6355, 28390, 279, 269, 4200, 1475, 272, 28390, 279, 269, 4200, 2008, 24820, 854, 631, 9430, 17372, 6997, 1564, 267, 21558, 11010, 1562, 267, 476, 16020, 6997, 1564, 267, 476, 272, 1535, 476, 273, 268, 276, 270, 279, 267, 32719, 550, 1520, 1127, 633, 267, 14168, 3212, 601, 630, 276, 2918, 271, 264, 3040, 8835, 6355, 28390, 278, 269, 7176, 1475, 272, 28390, 278, 269, 7176, 2008, 19064, 523, 4290, 26588, 5155, 619, 910, 8866, 2667, 9285, 21311, 6755, 4290, 26588, 5155, 518, 5590, 585, 3427, 543, 5851, 476, 7761, 623, 14369, 1923, 5564, 545, 565, 1819, 15015, 6755, 4290, 26588, 5155, 619, 476, 7761, 13268, 1923, 9791, 267, 14117, 267, 4414, 267, 13068, 267, 5682, 267, 31947, 3040, 8835, 6355, 28390, 278, 269, 8660, 1475, 272, 28390, 278, 269, 8660, 2008, 347, 28846, 15182, 731, 6755, 4290, 8210, 6471, 595, 2355, 267, 17623, 343, 5131, 267, 2667, 9285, 27413, 267, 476, 13893, 20324, 2135, 630, 278, 1428, 4510, 264, 3040, 8835, 6355, 28390, 278, 269, 7597, 1475, 272, 28390, 278, 269, 7597, 2008, 26180, 22324, 8131, 7167, 661, 6652, 619, 630, 272, 6261, 871, 540, 476, 13893, 264, 3040, 8835, 6355, 28390, 278, 269, 5379, 1475, 272, 28390, 278, 269, 5379, 2008, 18871, 805, 633, 9752, 4964, 932, 1779, 898, 5455, 256, 2398, 5793, 7433, 630, 2735, 279, 264, 3040, 8835, 6355, 28390, 277, 269, 6795, 1475, 272, 28390, 277, 269, 6795, 2008, 18871, 1513, 517, 667, 749, 6242, 2836, 2988, 810, 8950, 7433, 630, 14093, 14625, 264, 3040, 8835, 6355, 28390, 275, 269, 4200, 1475, 272, 28390, 275, 269, 4200, 2008, 5978, 2319, 1568, 2182, 547, 21907, 519, 1655, 14499, 543, 25926, 2139, 24707, 2347, 1592, 8058, 1447, 0, 257, 2467, 616, 1082, 2591, 610, 7965, 950, 621, 2501, 547, 8308, 7893, 3327, 538, 519, 3037, 2437, 3081, 14606, 26831, 15576, 773, 11066, 267, 7147, 589, 261, 300, 3397, 686, 16908, 3194, 543, 22362, 563, 299, 1168, 529, 5941, 1614, 1761, 2152, 693, 519, 2487, 7147, 19137, 585, 4826, 11094, 12197, 4303, 538, 700, 889, 321, 1442, 563, 763, 1101, 4161, 568, 519, 3178, 693, 799, 3327, 568, 6027, 267, 1352, 3081, 269, 834, 2252, 649, 2811, 2921, 513, 13719, 3732, 267, 2161, 4642, 547, 476, 275, 610, 476, 277, 6279, 267, 602, 568, 519, 1034, 8762, 6053, 3742, 3178, 1369, 519, 3037, 267, 865, 972, 781, 2469, 547, 581, 971, 513, 1164, 24826, 602, 621, 781, 2182, 547, 1205, 513, 1434, 7447, 540, 875, 1454, 3327, 568, 2469, 547, 581, 6740, 563, 10454, 1655, 16252, 1131, 581, 547, 1491, 513, 4514, 3037, 4295, 547, 7447, 3327, 13632, 267, 2161, 547, 513, 476, 3607, 20878, 3178, 538, 519, 9043, 1107, 476, 274, 547, 476, 275, 3952, 1131, 581, 519, 1655, 16252, 269, 1546, 4177, 538, 519, 9043, 267, 596, 2811, 2469, 547, 723, 3152, 1761, 547, 4558, 1279, 3856, 267, 811, 973, 531, 31842, 7949, 3327, 1317, 621, 781, 6870, 689, 18063, 543, 15451, 2534, 4799, 763, 2034, 3390, 568, 23928, 593, 513, 1505, 547, 3313, 3327, 9830, 269, 834, 2467, 616, 1114, 22475, 2066, 519, 772, 2529, 269, 602, 946, 1114, 2409, 602, 960, 1655, 585, 741, 5106, 269, 6997, 338, 949, 946, 513, 3819, 13674, 4480, 547, 2268, 519, 2698, 3327, 538, 519, 3037, 269, 1809, 649, 723, 547, 2272, 585, 519, 22803, 6824, 865, 602, 649, 666, 3313, 519, 5214, 6824, 2437, 11066, 6941, 269, 834, 2171, 1810, 1405, 1616, 547, 2268, 7513, 3327, 919, 538, 519, 3037, 607, 851, 540, 5214, 3327, 4799, 8448, 22475, 4782, 547, 2268, 5214, 2339, 543, 946, 9193, 547, 5173, 5214, 3327, 267, 1352, 3081, 269, 834, 2026, 513, 3621, 2146, 267, 649, 1131, 723, 547, 6430, 1018, 1505, 568, 2469, 547, 581, 519, 1034, 3617, 543, 568, 2469, 547, 798, 519, 1655, 2816, 540, 8159, 3327, 2066, 519, 772, 2529, 1421, 543, 649, 1131, 723, 547, 7017, 593, 835, 1505, 4799, 8256, 29548, 2066, 22475, 568, 4105, 269, 1403, 1142, 2978, 568, 3257, 1945, 1114, 1287, 267, 834, 20365, 2338, 616, 2469, 547, 581, 19765, 13846, 538, 930, 2665, 543, 7654, 21467, 560, 13846, 538, 1866, 4799, 763, 942, 540, 1032, 3327, 5439, 616, 10356, 849, 568, 513, 6161, 269, 834, 27039, 593, 950, 602, 3732, 568, 6394, 267, 596, 666, 1205, 1360, 1114, 2338, 2429, 513, 3395, 4005, 4799, 2690, 1383, 267, 952, 519, 3037, 568, 25541, 1247, 513, 7693, 568, 8362, 3395, 267, 11066, 3081, 513, 2603, 540, 519, 3327, 602, 781, 1373, 6337, 9321, 1127, 1242, 267, 9676, 689, 519, 5790, 676, 519, 2371, 267, 786, 581, 5950, 998, 519, 5072, 607, 3327, 608, 644, 919, 269, 834, 2252, 596, 6394, 513, 3732, 693, 602, 1448, 267, 596, 2811, 2469, 547, 723, 713, 7372, 21467, 560, 11582, 540, 519, 1279, 3856, 3327, 6740, 538, 519, 3037, 4799, 1692, 1419, 5439, 616, 3144, 814, 2943, 547, 581, 5462, 607, 1134, 267, 11066, 3081, 563, 257, 2026, 513, 3037, 10196, 267, 594, 1589, 621, 2115, 547, 4755, 2899, 513, 1032, 693, 519, 1482, 942, 538, 1063, 7031, 269, 1924, 267, 952, 596, 723, 513, 7693, 10047, 540, 10412, 543, 22408, 32758, 267, 596, 991, 547, 2097, 856, 1063, 602, 5912, 267, 1063, 7556, 543, 9544, 519, 1739, 7693, 269, 898, 781, 519, 1482, 609, 3382, 7031, 269, 1411, 991, 547, 7227, 2394, 519, 3382, 7031, 616, 2165, 3990, 543, 1354, 596, 2030, 707, 6666, 7693, 4799, 28494, 15036, 602, 22179, 8185, 593, 803, 568, 602, 952, 649, 1413, 693, 519, 3327, 2338, 538, 519, 4400, 26111, 540, 7147, 267, 621, 1522, 2408, 649, 723, 513, 1507, 1761, 547, 1118, 513, 1804, 1764, 269, 1809, 594, 6415, 513, 7484, 28451, 268, 21459, 1268, 269, 32506, 649, 666, 798, 547, 1832, 3327, 538, 938, 3037, 543, 856, 540, 519, 5790, 568, 2469, 547, 723, 513, 2318, 1764, 269, 594, 1131, 1832, 602, 538, 2247, 267, 602, 621, 1522, 581, 513, 1507, 2333, 538, 3327, 596, 1294, 689, 513, 1032, 3562, 4458, 4493, 267, 855, 596, 2811, 3257, 1945, 2318, 585, 519, 1604, 3034, 257, 9336, 3787, 2337, 4799, 2414, 2070, 3487, 476, 272, 540, 11066, 781, 5967, 609, 12426, 4964, 267, 4945, 1934, 563, 2414, 1451, 811, 827, 1018, 8859, 626, 11023, 1066, 23747, 814, 547, 2161, 827, 519, 3327, 5491, 2344, 267, 4945, 519, 6402, 2630, 912, 292, 1595, 626, 11023, 1066, 23747, 12909, 827, 519, 3327, 5491, 2344, 267, 519, 26968, 985, 543, 1018, 12696, 1058, 2015, 1354, 19142, 513, 4579, 269, 0, 6597, 3539, 853, 531, 698, 2466, 525, 547, 13760, 519, 12815, 543, 21023, 519, 8892, 454, 6624, 267, 1082, 3108, 7532, 540, 6182, 4883, 749, 267, 19578, 267, 543, 606, 5662, 5087, 540, 28988, 2548, 267, 17577, 267, 568, 606, 14462, 3484, 609, 4054, 538, 968, 333, 823, 2370, 9343, 2223, 3081, 667, 10005, 2334, 7815, 267, 13930, 7548, 540, 7998, 693, 6182, 4883, 749, 5441, 269, 1703, 616, 1804, 7725, 3297, 519, 4054, 269, 1656, 1141, 519, 7725, 2743, 519, 2666, 267, 972, 568, 513, 13946, 563, 28074, 540, 2334, 7815, 779, 1382, 5956, 538, 602, 13946, 269, 2859, 4481, 267, 621, 5956, 609, 519, 13946, 779, 26106, 698, 2466, 525, 267, 519, 1279, 3029, 3395, 689, 519, 2666, 909, 563, 290, 1941, 1075, 641, 5362, 540, 8693, 3778, 454, 1805, 531, 698, 2466, 525, 2270, 1344, 827, 519, 2916, 1686, 538, 519, 1858, 789, 1332, 269, 1656, 1317, 26106, 698, 2466, 525 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12163, 1607, 7097, 18767, 998, 1142, 540, 519, 28562, 2055, 267, 21555, 519, 2243, 1239, 267, 971, 607, 519, 3097, 23896, 1257, 543, 11251, 19000, 7215, 267, 21555, 20438, 6165, 1239, 971, 607, 519, 1297, 454, 1993, 2053, 513, 20438, 5526, 585, 513, 2243, 607, 1134, 607, 519, 10092, 547, 519, 2055, 538, 799, 454, 320, 20438, 5526, 267, 543, 26251, 713, 1344, 607, 21795, 4578, 293, 29707, 585, 2104, 2079, 780, 287, 10461, 13198, 580, 328, 4793, 14725, 334, 454, 287, 11845, 4989, 476, 1691, 476, 1001, 276, 454, 12163, 5814, 556, 454, 5228, 942, 1104, 942, 454, 5814, 21795, 607, 19073, 692, 3698, 1205, 318, 4486, 6919, 263, 23896, 18316, 318, 6050, 2187, 825, 8173, 825, 901, 1599, 24693, 3758, 9115, 540, 513, 28562, 2243, 3758, 267, 21555, 519, 17161, 2676, 825, 543, 7024, 513, 9226, 1592, 540, 891, 563, 825, 7711, 1706, 4461, 454, 1038, 910, 5569, 540, 2243, 3758, 9115, 454, 825, 7711, 8873, 454, 1038, 910, 9226, 1592, 540, 2243, 17161, 454, 825, 29185, 825, 585, 1899, 538, 2243, 18316, 318, 6050, 912, 13872, 1038, 952, 1899, 269, 11034, 1873, 603, 3488, 1012, 262, 2187, 27030, 2018, 952, 834, 17395, 312, 310, 3036, 9169, 257, 538, 1899, 912, 3546, 1376, 815, 1899, 26098, 3488, 3488, 11924, 272, 454, 3546, 1439, 815, 1899, 26098, 3488, 264, 5073, 3546, 20438, 8217, 815, 1899, 314, 11034, 281, 754, 4940, 20889, 263, 12887, 2020, 3546, 585, 1775, 25722, 698, 538, 26246, 31107, 5320, 8217, 2187, 7386, 20438, 8217, 5157, 316, 815, 11090, 18622, 2897, 2891, 262, 2580, 262, 5073, 7386, 20438, 8217, 5157, 316, 815, 20438, 8217, 5157, 4940, 29328, 4590, 7386, 20438, 8217, 5157, 316, 815, 20438, 8217, 5157, 4940, 12294, 4590, 17264, 3097, 825, 2132, 1592, 263, 3553, 31107, 5320, 8217, 4917, 8931, 8931, 3698, 1205, 318, 23896, 26748, 263, 23896, 18316, 318, 6050, 267, 4994, 815, 910, 272, 2187, 825, 8173, 825, 901, 1599, 24693, 3758, 9115, 540, 513, 28562, 2243, 3758, 543, 3097, 825, 21555, 543, 7024, 519, 2243, 1257, 563, 825, 7711, 1706, 4461, 454, 1038, 910, 5569, 540, 2243, 3758, 9115, 454, 825, 7711, 8873, 454, 1038, 910, 5569, 540, 2243, 1257, 454, 825, 8173, 825, 661, 5588, 815, 834, 292, 5588, 4840, 825, 661, 29996, 815, 1412, 292, 29996, 7055, 825, 19836, 815, 834, 259, 16576, 4840, 825, 645, 9680, 2562, 318, 307, 28692, 815, 834, 289, 9680, 2562, 318, 307, 28692, 4840, 825, 13673, 291, 318, 307, 28692, 815, 834, 21715, 318, 307, 28692, 4840, 825, 570, 28692, 318, 14110, 273, 815, 1412, 307, 28692, 263, 14110, 273, 263, 28843, 292, 29996, 4297, 28847, 825, 2243, 26748, 815, 1412, 7055, 825, 17523, 815, 11713, 8931, 825, 1948, 6875, 1416, 540, 1978, 2055, 609, 1114, 3758, 12043, 454, 825, 1948, 901, 729, 711, 1182, 1310, 17655, 998, 519, 2055, 454, 825, 952, 4994, 2652, 910, 272, 912, 1038, 585, 1775, 267, 1899, 538, 26246, 263, 23896, 18316, 318, 6050, 2567, 8931, 2018, 952, 630, 661, 5588, 538, 1899, 610, 19836, 538, 1899, 610, 645, 9680, 2562, 318, 307, 28692, 538, 1899, 610, 13673, 291, 318, 307, 28692, 538, 1899, 610, 570, 28692, 318, 14110, 273, 538, 1899, 610, 661, 29996, 538, 1899, 2187, 3546, 17523, 6910, 9217, 994, 825, 3116, 912, 1038, 585, 1775, 267, 1899, 538, 26246, 263, 23896, 18316, 318, 6050, 2187, 2018, 952, 18011, 307, 28692, 262, 538, 1899, 610, 1412, 23177, 262, 538, 1899, 2187, 3546, 17523, 6910, 9217, 994, 13872, 825, 952, 17523, 912, 1038, 1376, 318, 1467, 815, 1295, 263, 785, 1182, 994, 1038, 1439, 318, 1467, 815, 3193, 263, 785, 1182, 2020, 1038, 2243, 26748, 815, 2243, 18316, 318, 6050, 314, 1376, 318, 1467, 1341, 476, 272, 2433, 1439, 318, 1467, 2639, 1038, 2243, 26748, 815, 1412, 29717, 21860, 263, 23896, 26748, 994, 1038, 2243, 26748, 815, 2243, 26748, 18622, 2897, 16360, 305, 267, 1412, 5073, 1038, 2243, 26748, 815, 2243, 26748, 18622, 2897, 28361, 333, 3299, 1412, 5073, 8931, 825, 2132, 2243, 26748, 7531, 3698, 1265, 318, 718, 5416, 23919, 267, 1016, 2187, 825, 8173, 825, 4855, 782, 8320, 540, 513, 5705, 2590, 1369, 513, 5569, 454, 825, 8173, 825, 1376, 815, 476, 271, 454, 825, 1247, 6936, 912, 1038, 1376, 815, 513, 23919, 26098, 4433, 889, 267, 1376, 994, 1038, 952, 1376, 2652, 910, 272, 281, 2132, 454, 1038, 6556, 1376, 454, 1038, 1376, 6834, 7003, 4433, 889, 9239, 3698, 1205, 9078, 622, 343, 263, 23896, 26748, 2187, 825, 8173, 825, 901, 1599, 24693, 2243, 1257, 267, 21555, 519, 19000, 7215, 11251, 1369, 519, 1257, 2676, 825, 543, 7024, 513, 9226, 1592, 540, 891, 7215, 563, 825, 7711, 1706, 4461, 454, 1038, 910, 5569, 540, 2243, 1257, 454, 825, 7711, 8873, 454, 1038, 910, 9226, 1592, 540, 19000, 7215, 11251, 1369, 519, 1257, 454, 825, 8173, 8931, 825, 3735, 343, 815, 29129, 825, 1376, 318, 18091, 815, 22373, 11138, 263, 2580, 834, 11138, 14277, 2639, 825, 1439, 318, 18091, 815, 22373, 11138, 264, 2580, 834, 11138, 316, 257, 6540, 825, 6238, 815, 1592, 6600, 785, 318, 718, 263, 23896, 26748, 267, 1376, 318, 18091, 314, 271, 316, 4297, 1341, 1592, 6600, 785, 318, 718, 263, 23896, 26748, 267, 1376, 318, 18091, 314, 272, 28413, 825, 7475, 815, 1592, 6600, 785, 318, 718, 263, 23896, 26748, 267, 1439, 318, 18091, 314, 271, 316, 4297, 1341, 1592, 6600, 785, 318, 718, 263, 23896, 26748, 267, 1439, 318, 18091, 314, 272, 8079, 2020, 825, 585, 1775, 538, 2039, 12759, 263, 11034, 338, 15892, 1038, 2119, 912, 2018, 3735, 343, 6910, 263, 2243, 26748, 314, 11034, 338, 5157, 13912, 1742, 5157, 27994, 273, 316, 12467, 1038, 4849, 12039, 13286, 607, 552, 912, 2018, 3735, 343, 6910, 263, 2243, 26748, 314, 11034, 338, 5157, 13912, 316, 25589, 825, 2132, 3735, 343, 19638, 3698, 1292, 10031, 8931, 825, 28562, 318, 20880, 815, 1412, 907, 270, 11907, 14121, 698, 3022, 7272, 23411, 17902, 28847, 825, 28562, 7272, 23411, 815, 29129, 825, 585, 1899, 538, 1930, 6025, 698, 3022, 318, 20880, 267, 7154, 8782, 337, 262, 2187, 1038, 28562, 7272, 23411, 6910, 263, 1899, 18622, 2897, 28361, 333, 3299, 5257, 264, 12467, 8931, 825, 1820, 1412, 10831, 540, 28562, 2055, 281, 4939, 323, 262, 4939, 7003, 6025, 698, 3022, 7272, 23411, 994, 8931, 825, 512, 271, 815, 942, 10797, 825, 20438, 318, 16769, 815, 31460, 825, 2243, 318, 16769, 815, 27835, 638, 5465, 262, 2433, 32582, 10926, 825, 1820, 1412, 306, 4754, 940, 782, 28562, 2055, 543, 25935, 4143, 1102, 558, 566, 1862, 315, 333, 28847, 825, 585, 1775, 267, 2619, 538, 26246, 6025, 698, 3022, 7272, 23411, 2187, 13872, 1038, 1948, 1452, 6119, 2270, 18348, 539, 2055, 269, 1684, 711, 1331, 873, 454, 1038, 1948, 3502, 5367, 1310, 14791, 454, 1038, 952, 1775, 711, 538, 1496, 7277, 280, 267, 476, 6977, 271, 267, 476, 18357, 271, 267, 476, 278, 4817, 271, 267, 476, 13923, 7906, 267, 476, 13923, 7367, 267, 476, 13923, 7871, 267, 476, 15150, 7871, 267, 476, 15150, 7918, 267, 476, 15150, 4649, 267, 26444, 7386, 476, 15150, 6321, 267, 476, 15150, 6872, 267, 476, 15150, 6812, 267, 476, 15150, 6795, 267, 476, 15150, 2568, 267, 476, 15150, 8618, 267, 476, 15150, 7830, 267, 476, 15150, 8287, 267, 476, 15150, 5038, 267, 476, 15150, 4792, 12101, 454, 7386, 476, 15150, 5780, 267, 476, 15150, 6858, 267, 476, 15150, 6924, 267, 476, 15150, 7597, 267, 476, 15150, 3583, 267, 476, 15150, 10170, 267, 476, 15150, 7761, 267, 476, 15150, 10463, 267, 476, 15150, 10619, 267, 476, 15150, 4037, 267, 26444, 7386, 476, 15150, 10602, 267, 476, 15150, 6507, 267, 476, 15150, 4281, 267, 476, 15150, 8064, 267, 476, 5908, 4097, 267, 476, 5908, 3374, 267, 476, 5908, 3607, 14158, 13872, 2018, 2243, 18316, 318, 8518, 548, 815, 1930, 9638, 987, 267, 7154, 8782, 337, 5073, 2018, 2243, 18316, 318, 6050, 815, 2243, 18316, 318, 8518, 548, 18667, 6050, 4590, 2018, 2243, 18316, 318, 8518, 548, 25379, 4590, 8931, 2018, 1948, 6987, 847, 2243, 1344, 454, 2018, 17161, 815, 476, 1205, 318, 4486, 6919, 263, 23896, 18316, 318, 6050, 994, 13872, 2018, 1948, 2991, 4881, 713, 7097, 594, 8068, 972, 941, 1896, 2055, 4171, 1257, 941, 10145, 454, 2018, 1948, 2368, 540, 891, 941, 3765, 8971, 1540, 2055, 454, 2018, 1948, 1452, 2630, 941, 1175, 30149, 8335, 563, 2018, 1948, 9747, 267, 4957, 519, 1205, 318, 23896, 26748, 3758, 547, 6451, 519, 1114, 3898, 28329, 2018, 952, 1775, 538, 1496, 276, 2918, 280, 267, 476, 6872, 280, 273, 267, 476, 279, 5325, 280, 267, 476, 5952, 272, 280, 267, 476, 279, 4037, 279, 267, 476, 9262, 277, 280, 267, 476, 279, 4281, 275, 267, 476, 279, 7176, 275, 267, 476, 279, 7176, 280, 267, 476, 279, 4200, 271, 267, 476, 279, 4200, 272, 267, 476, 279, 4200, 273, 267, 476, 280, 4649, 273, 267, 476, 9032, 274, 274, 267, 476, 9818, 7761, 267, 476, 15647, 4097, 13912, 3097, 3546, 2243, 26748, 815, 1205, 318, 23896, 26748, 263, 23896, 18316, 318, 6050, 267, 1775, 994, 2018, 3116, 912, 3546, 2243, 26748, 815, 1205, 318, 23896, 26748, 263, 23896, 18316, 318, 6050, 994, 13872, 2018, 3735, 343, 815, 1205, 9078, 622, 343, 263, 23896, 26748, 994, 8931, 2018, 1948, 22352, 519, 2243, 318, 16769, 1239, 2497, 454, 2018, 2243, 18380, 815, 27835, 23896, 18316, 24786, 262, 2433, 2619, 267, 26444, 4449, 1363, 1412, 23896, 26748, 262, 2433, 2243, 26748, 267, 26444, 4449, 1363, 1412, 17218, 343, 318, 10339, 11306, 262, 2433, 3735, 343, 267, 26444, 4449, 16875, 1412, 4486, 6919, 262, 2433, 17161, 7684, 454, 14030, 1363, 3097, 2018, 2243, 318, 16769, 9131, 638, 5465, 262, 4940, 6572, 263, 2243, 18380, 12467, 8931, 8931, 2018, 1948, 22352, 519, 20438, 318, 16769, 1239, 2497, 454, 2018, 1948, 3417, 3758, 2619, 547, 957, 607, 513, 4914, 1883, 1063, 519, 20438, 318, 16769, 3097, 2018, 1948, 543, 2243, 318, 16769, 1785, 338, 454, 2018, 585, 20438, 538, 17161, 912, 3546, 952, 20438, 538, 20438, 318, 16769, 912, 7386, 20438, 318, 16769, 314, 4486, 5320, 6012, 262, 12248, 11172, 6834, 476, 272, 454, 7386, 20438, 318, 16769, 314, 4486, 5320, 6012, 262, 23896, 18316, 24786, 262, 4940, 6572, 263, 2619, 12467, 3546, 3116, 912, 7386, 20438, 318, 16769, 314, 4486, 5320, 316, 815, 27835, 12248, 262, 2433, 476, 272, 267, 1412, 23896, 18316, 24786, 262, 2433, 1496, 12949, 316, 8679, 27030, 825, 512, 272, 815, 942, 10797, 825, 1820, 1412, 15761, 3555, 2347, 7055, 825, 1820, 1412, 13707, 942, 281, 4939, 323, 3813, 262, 4939, 630, 339, 272, 2389, 271, 994, 825, 1820, 1412, 13707, 1297, 540, 17161, 1336, 281, 4939, 323, 1422, 333, 262, 4939, 7003, 31107, 5320, 318, 16769, 269, 12399, 15405, 8931, 825, 1948, 8073, 513, 21795, 1239, 18134, 609, 519, 20438, 318, 16769, 543, 6414, 519, 1239, 547, 513, 3758, 454, 825, 1948, 21795, 568, 1373, 1611, 543, 4465, 1405, 1577, 803, 1780, 519, 20438, 318, 16769, 9598, 865, 594, 991, 547, 3097, 825, 1948, 1349, 519, 9623, 607, 8638, 454, 825, 17161, 815, 20438, 318, 16769, 269, 12399, 4590, 825, 12523, 815, 11713, 825, 737, 7272, 23411, 815, 29129, 825, 585, 20438, 538, 17161, 912, 1038, 12523, 6910, 263, 20438, 318, 16769, 314, 4486, 5320, 6012, 262, 12248, 11172, 12467, 1038, 737, 7272, 23411, 6910, 263, 20438, 318, 16769, 314, 4486, 5320, 6012, 262, 23896, 18316, 24786, 11172, 12467, 8931, 825, 20438, 32470, 815, 19073, 6185, 1092, 20988, 20719, 262, 4486, 5320, 9166, 17161, 267, 26444, 4449, 11434, 1412, 12248, 9166, 12523, 267, 26444, 4449, 11434, 1412, 23896, 18316, 24786, 9166, 737, 7272, 23411, 348, 994, 13376, 454, 825, 1948, 2913, 781, 798, 519, 1482, 585, 519, 2243, 1239, 8931, 825, 7117, 7272, 23411, 815, 11713, 825, 7117, 26748, 815, 11713, 825, 7117, 9078, 622, 343, 815, 11713, 825, 7117, 318, 4486, 6919, 815, 29129, 825, 585, 7117, 538, 2243, 318, 16769, 9131, 638, 5465, 11172, 912, 1038, 7117, 7272, 23411, 6910, 263, 7117, 9131, 23896, 18316, 24786, 11172, 12467, 1038, 7117, 26748, 6910, 263, 7117, 9131, 23896, 26748, 11172, 12467, 1038, 7117, 9078, 622, 343, 6910, 263, 7117, 9131, 17218, 343, 318, 10339, 11306, 11172, 12467, 1038, 7117, 318, 4486, 6919, 6910, 263, 7117, 9131, 4486, 6919, 11172, 476, 12467, 13872, 825, 2243, 32470, 815, 19073, 6185, 1092, 20988, 20719, 262, 23896, 26748, 9166, 7117, 26748, 267, 26444, 4449, 25639, 1412, 17218, 343, 318, 10339, 11306, 9166, 7117, 9078, 622, 343, 267, 26444, 4449, 25639, 1412, 23896 ]

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

[ 273, 267, 272, 267, 271, 267, 272, 267, 274, 267, 273, 267, 272, 267, 273, 267, 272, 4940, 769, 713, 2013, 267, 476, 277, 4559, 540, 4764, 1216, 630, 19990, 3296, 264, 616, 1373, 16290, 269, 1109, 12552, 16205, 657, 1109, 1721, 7700, 713, 3239, 2439, 7078, 1384, 19152, 1384, 1496, 271, 267, 272, 267, 271, 267, 273, 267, 272, 267, 271, 267, 272, 267, 274, 267, 273, 267, 272, 267, 273, 267, 272, 6540, 454, 20479, 1384, 476, 277, 692, 1607, 1966, 729, 3144, 689, 2274, 564, 13892, 692, 11405, 692, 763, 1490, 1393, 3196, 1935, 281, 585, 1142, 3693, 649, 979, 547, 519, 1318, 543, 1265, 519, 5021, 4463, 540, 519, 3046, 267, 1287, 649, 979, 547, 519, 2451, 543, 798, 519, 1482, 780, 2690, 1022, 3693, 519, 5021, 2179, 540, 519, 1216, 602, 1223, 581, 16290, 786, 581, 519, 5934, 540, 2451, 4463, 543, 1318, 4463, 267, 14263, 519, 4463, 540, 519, 3046, 780, 3383, 585, 519, 5044, 1496, 271, 267, 272, 267, 271, 267, 273, 267, 272, 267, 271, 267, 272, 267, 274, 267, 273, 267, 272, 267, 273, 267, 272, 316, 649, 979, 782, 519, 1259, 547, 519, 1318, 543, 5173, 519, 3193, 1318, 1871, 267, 4358, 689, 1101, 3693, 2048, 271, 685, 3193, 1318, 786, 581, 476, 271, 269, 2048, 272, 685, 1107, 3193, 1318, 568, 2048, 272, 685, 543, 865, 593, 563, 2171, 10956, 519, 1482, 689, 2063, 3693, 2048, 272, 685, 547, 519, 1101, 835, 780, 10190, 519, 16290, 1216, 585, 519, 1101, 6241, 786, 581, 281, 1109, 1295, 32384, 14738, 267, 3193, 29381, 264, 1107, 519, 26161, 292, 2211, 19559, 6540, 519, 5044, 476, 271, 476, 272, 476, 271, 476, 273, 476, 272, 476, 271, 476, 272, 476, 274, 476, 273, 476, 272, 476, 273, 476, 272, 3193, 1318, 476, 271, 476, 272, 476, 272, 476, 273, 476, 273, 476, 273, 476, 273, 476, 274, 476, 274, 476, 274, 476, 274, 476, 274, 3193, 2451, 476, 274, 476, 274, 476, 274, 476, 274, 476, 274, 476, 274, 476, 274, 476, 274, 476, 273, 476, 273, 476, 273, 476, 272, 6394, 1216, 476, 271, 476, 271, 476, 272, 476, 271, 476, 272, 476, 273, 476, 272, 476, 271, 476, 271, 476, 272, 476, 271, 476, 271, 692, 763, 6988, 786, 581, 744, 3799, 273, 2020, 270, 12533, 265, 7711, 12407, 2715, 15893, 26514, 348, 4463, 454, 265, 7711, 8873, 2715, 15893, 8679, 265, 13045, 12534, 15972, 815, 1599, 263, 19417, 264, 13634, 604, 263, 19417, 32324, 2999, 476, 273, 994, 8873, 476, 271, 16963, 2280, 1265, 16655, 29381, 815, 1599, 263, 30915, 267, 4463, 264, 13634, 2280, 3193, 815, 476, 271, 3248, 1721, 263, 2280, 1775, 815, 30915, 282, 328, 13843, 476, 271, 282, 1775, 4534, 264, 13634, 10946, 815, 4569, 27982, 32384, 267, 4463, 5157, 8079, 3248, 8679, 8873, 3193, 3248, 10926, 2280, 1265, 16655, 14738, 815, 1599, 263, 30915, 267, 4463, 264, 13634, 2280, 3193, 815, 476, 271, 3248, 1721, 263, 2280, 1775, 815, 7329, 343, 282, 328, 2999, 4463, 32324, 282, 1775, 1341, 266, 264, 13634, 10946, 815, 4569, 27982, 32384, 267, 4463, 5157, 8079, 3248, 8679, 8873, 3193, 3248, 10926, 2280, 6394, 12850, 815, 476, 271, 3248, 1721, 263, 2280, 1775, 815, 476, 271, 282, 328, 2999, 4463, 32324, 282, 1775, 1341, 266, 264, 2715, 692, 6247, 3193, 29381, 815, 1265, 16655, 29381, 9217, 267, 4463, 11850, 6247, 3193, 14738, 815, 1265, 16655, 14738, 9217, 267, 4463, 32007, 2280, 1295, 815, 4569, 269, 2381, 32384, 29381, 267, 3193, 14738, 11850, 3712, 21124, 12850, 6834, 630, 2381, 910, 4463, 5157, 8079, 3248, 10926, 8873, 6394, 12850, 3248, 348, 16963, 763, 1732, 3070, 281, 1265, 782, 3193, 2451, 543, 3193, 1318, 609, 835, 8520, 267, 1287, 798, 513, 2034, 8520, 585, 1142, 3693, 538, 519, 5044, 267, 543, 5173, 16290, 1216, 780, 270, 12533, 265, 7711, 12407, 2715, 15893, 26514, 348, 4463, 454, 265, 7711, 8873, 2715, 15893, 8679, 265, 13045, 12534, 15972, 815, 1599, 263, 19417, 264, 13634, 2280, 3193, 29381, 26161, 815, 1496, 3910, 3193, 14738, 26161, 815, 1496, 30092, 2280, 3193, 29381, 815, 476, 271, 267, 3193, 14738, 815, 476, 271, 3248, 6247, 23692, 815, 4463, 32324, 3248, 2280, 16290, 12850, 815, 476, 271, 16963, 1721, 263, 2280, 1775, 815, 476, 271, 282, 328, 2999, 4463, 32324, 282, 1775, 1341, 266, 264, 13634, 10946, 29381, 26161, 5157, 316, 815, 4569, 27982, 263, 19417, 5157, 3910, 3193, 29381, 11850, 10946, 29381, 815, 3193, 29381, 26161, 5157, 316, 16963, 10946, 14738, 26161, 314, 15238, 910, 1775, 910, 476, 272, 316, 815, 4569, 27982, 263, 19417, 314, 15238, 910, 1775, 910, 476, 272, 3910, 3193, 14738, 11850, 10946, 14738, 815, 3193, 14738, 26161, 314, 15238, 910, 1775, 910, 476, 272, 30092, 10926, 1721, 263, 2280, 1775, 815, 476, 271, 282, 328, 2999, 4463, 32324, 282, 1775, 1341, 266, 264, 13634, 10177, 5529, 12850, 6834, 4569, 269, 2381, 32384, 29381, 26161, 5157, 3910, 3193, 14738, 26161, 5157, 8079, 910, 4463, 5157, 30092, 8679, 8873, 16290, 12850, 16963, 348, 3248, 6343, 649, 1175, 1705, 1384, 1700, 2060, 835, 8520, 1265, 519, 3193, 2451, 543, 1318, 3046, 593, 1142, 2427, 563, 1700, 585, 1022, 3693, 519, 5021, 2179, 540, 519, 1216, 602, 1223, 581, 16290, 786, 581, 519, 5934, 540, 2451, 4463, 543, 1318, 4463, 267, 14263, 519, 4463, 540, 519, 3046, 780, 1432, 616, 1357, 3334, 2496, 16158, 3334, 616, 1007, 23431, 3334, 602, 1039, 1007, 29782, 547, 513, 3044, 3334, 630, 773, 281, 708, 326, 267, 3403, 267, 3349, 267, 554, 267, 533, 267, 2820, 267, 3092, 4700, 610, 1711, 1007, 3334, 1210, 543, 9256, 519, 4540, 3044, 3334, 269, 1411, 1223, 1224, 811, 1934, 281, 1357, 3334, 692, 1692, 547, 1711, 2688, 1357, 5057, 26042, 763, 14724, 2856, 540, 875, 547, 1711, 513, 1357, 5057, 568, 713, 281, 630, 24392, 713, 1223, 581, 3810, 2688, 2213, 267, 543, 2944, 538, 1082, 1114, 2081, 267, 585, 519, 3483, 540, 713, 3635, 547, 581, 607, 2241, 607, 2009, 649, 786, 2263, 519, 14724, 1935, 17107, 272, 269, 8073, 2688, 1362, 602, 786, 6023, 519, 1459, 1049, 7954, 540, 519, 5057, 563, 273, 269, 5410, 519, 2688, 11090, 538, 519, 3561, 563, 274, 269, 5410, 519, 6163, 543, 519, 14103, 1665, 1575, 547, 519, 1292, 667, 6865, 269, 901, 568, 2356, 2944, 676, 4946, 519, 14692, 667, 6865, 540, 519, 1007, 5057, 547, 519, 3561, 779, 667, 6865, 780, 4131, 779, 1118, 513, 1483, 3730, 1357, 5057, 267, 1247, 2469, 547, 519, 1184, 692, 8620, 513, 7956, 12197, 5057, 609, 10081, 2303, 6749, 1524, 2721, 518, 543, 8675, 540, 519, 6700, 1913, 780, 29806, 1587, 786, 1413, 899, 713, 1384, 21196, 912, 12507, 628, 1384, 5575, 1284, 786, 692, 8620, 519, 14103, 543, 519, 22898, 11768, 780, 8620, 513, 1007, 3758, 692, 32220, 3667, 1532, 2135, 2914, 603, 1673, 1886, 6658, 12459, 338, 692, 12534, 10959, 21591, 283, 5882, 11417, 9884, 571, 3899, 13634, 5891, 281, 538, 1467, 3766, 5090, 3248, 8679, 258, 9526, 518, 13634, 19387, 281, 24072, 3248, 321, 4650, 281, 476, 272, 29210, 4396, 8988, 3248, 3724, 3033, 281, 1948, 325, 275, 325, 275, 325, 275, 3248, 8679, 269, 572, 21124, 305, 578, 13634, 10233, 281, 3043, 3248, 3724, 3033, 281, 1948, 2568, 277, 6187, 273, 3248, 8679, 335, 13634, 332, 1173, 514, 281, 476, 272, 29210, 3248, 321, 4650, 1532, 18847, 281, 476, 272, 29210, 4396, 8988, 3248, 8679, 335, 281, 18431, 30512, 13634, 321, 4650, 1532, 18847, 281, 9039, 3248, 8679, 9572, 5882, 285, 692, 283, 15965, 1362, 6889, 342, 571, 3899, 257, 11417, 283, 6358, 1826, 6889, 3667, 257, 7329, 8782, 3667, 7615, 262, 11417, 283, 15965, 7329, 8782, 9526, 518, 262, 11417, 9572, 15965, 11417, 9572, 15965, 11417, 16963, 2171, 3773, 519, 22898, 267, 543, 519, 14103, 1665, 1575, 799, 5161, 540, 513, 12109, 3899, 2820, 267, 513, 1257, 2361, 267, 543, 513, 2048, 9526, 518, 685, 2820, 267, 799, 786, 1397, 519, 6700, 1913, 780, 9202, 267, 769, 519, 1482, 3758, 1711, 513, 1362, 547, 6023, 519, 2621, 780, 5035, 7956, 7901, 4415, 291, 1886, 6658, 11498, 10226, 300, 4041, 2211, 2715, 692, 24554, 528, 3890, 13634, 2260, 11408, 1289, 2706, 1101, 538, 4020, 528, 454, 27273, 3890, 3248, 10926, 8588, 24445, 3724, 3890, 13634, 8679, 10926, 4517, 1631, 1577, 779, 8936, 519, 9241, 2813, 1357, 5057, 547, 519, 3561, 667, 6865, 692, 30720, 6983, 2396, 292, 6123, 269, 3698, 710, 3488, 3667, 7901, 2914, 603, 1673, 1886, 6658, 3299, 7956, 7901, 4415, 291, 1886, 6658, 32007, 3086, 649, 616, 2469, 547, 1711, 519, 4890, 14103, 3561, 547, 2070, 519, 5057, 780, 32220, 8161, 11258, 692, 283, 256, 23077, 6311, 312, 14154, 16814, 11417, 283, 6255, 6447, 31423, 6889, 523, 257, 18772, 6889, 690, 284, 10059, 2517, 690, 335, 269, 1889, 270, 985, 258, 257, 6221, 13911, 6889, 10059, 2517, 2675, 1335, 320, 3820, 270, 16158, 17273, 257, 1239, 3146, 716, 10174, 284, 3269, 20565, 6255, 6447, 11417, 283, 27771, 521, 21683, 284, 2668, 270, 3667, 1532, 2135, 2914, 603, 1673, 1886, 6658, 272, 12459, 338, 257, 20565, 27771, 11417, 283, 5882, 11417, 7853, 13634, 3724, 3033, 12258, 528, 281, 1948, 325, 276, 325, 276, 325, 276, 3248, 8679, 9572, 5882, 285, 692, 283, 7853, 11417, 21196, 281, 2999, 3667, 7901, 2914, 603, 1673, 1886, 6658, 7329, 6889, 339, 868, 272, 257, 8675, 6889, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 267, 1556, 267, 1321, 267, 1724, 267, 1691, 267, 1428, 267, 1626, 267, 1704, 267, 1240, 267, 866, 267, 736, 267, 2641, 267, 2420, 267, 2537, 267, 2190, 267, 1839, 267, 2918, 267, 2767, 267, 2764, 267, 3066, 267, 1789, 267, 4029, 257, 1871, 8782, 272, 262, 20565, 3667, 7901, 2914, 603, 1673, 1886, 6658, 11417, 12507, 628, 281, 2999, 3667, 7901, 2914, 603, 1673, 1886, 6658, 7329, 6889, 339, 868, 273, 257, 8675, 6889, 20464, 267, 21938, 267, 18550, 267, 19688, 267, 9802, 267, 18907, 267, 20809, 267, 20606, 267, 20826, 267, 19751, 267, 21776, 267, 20103, 257, 20565, 3667, 7901, 2914, 603, 1673, 1886, 6658, 11417, 9572, 7853, 11417, 9572, 6255, 6447, 285, 692, 1432, 649, 1175, 1705, 912, 1700, 649, 2813, 2241, 14103, 3561, 454, 1700, 1520, 4765, 1079, 8320, 540, 938, 1007, 25723, 289, 5057, 1257, 7901, 2914, 603, 1673, 1886, 6658, 454, 1700, 10426, 539, 513, 3959, 609, 513, 1592, 540, 782, 2395, 540, 519, 3923, 547, 519, 1101, 5057, 543, 1305, 621, 779, 1871, 284, 685, 272, 12664, 799, 786, 581, 519, 9949, 9936, 563, 1700, 10426, 539, 3275, 540, 519, 1032, 607, 513, 3959, 547, 519, 2034, 5057, 780, 3383, 2484, 519, 5057, 786, 581, 7298, 855, 711, 3833, 6198, 269, 2913, 779, 1039, 782, 602, 649, 991, 547, 1118, 519, 5057, 6198, 780, 5575, 1577, 779, 1865, 4448, 24445, 3724, 13622, 269, 898, 568, 1045, 12097, 1142, 942, 519, 2688, 3693, 568, 813, 2105, 883, 513, 3561, 268, 8588, 3693, 267, 1247, 1109, 3430, 25572, 2419, 6548, 24445, 3724, 568, 1045, 12097, 950, 835, 540, 519, 2688, 3693, 779, 10305, 568, 3773, 267, 6569, 267, 610, 4957, 269, 1215, 649, 616, 2469, 547, 946, 713, 286, 1284, 616, 2469, 547, 1847, 782, 3355, 1436, 7954, 547, 4448, 24445, 3724, 454, 10190, 649, 616, 2469, 547, 946, 14487, 2419, 6548, 24445, 3724, 547, 6432, 547, 14487, 2242, 543, 9337, 519, 5057, 269, 1280, 1383, 952, 596, 946, 519, 1821, 2645, 543, 8524, 519, 5057, 543, 12575, 519, 8675, 14487, 267, 938, 5057, 786, 9337, 9935, 780, 9202, 649, 616, 2469, 547, 1039, 513, 1599, 602, 786, 3398, 513, 18772, 9936, 267, 799, 786, 581, 8726, 519, 3593, 6238, 17511, 538, 519, 1257, 2361, 543, 786, 6882, 519, 8675, 543, 2132, 1152, 12805, 1913, 630, 528, 2338, 6393, 2171, 786, 849, 1039, 1883, 10000, 2621, 267, 865, 519, 3593, 786, 581, 2111, 547, 946, 2048, 1575, 685, 543, 2048, 6658, 685, 10569, 547, 6330, 998, 519, 1913, 1592, 267, 543, 538, 1840, 649, 786, 1039, 10856, 332, 913, 2621, 547, 5031, 519, 1913, 1141, 519, 10856, 568, 780, 7883, 1394, 547, 1257, 1532, 2135, 2914, 603, 1673, 1886, 6658, 12459, 338, 543, 1039, 891, 29782, 780, 32220, 3667, 1532, 2135, 2914, 603, 1673, 1886, 6658, 12459, 338, 692, 12534, 10959, 21591, 283, 5882, 11417, 9884, 571, 3899, 13634, 5891, 281, 538, 1467, 3766, 5090, 3248, 8679, 258, 9526, 518, 13634, 19387, 281, 24072, 3248 ]

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

[ 723, 2413, 6377, 6746, 1108, 2221, 780, 2005, 568, 513, 3113, 609, 782, 540, 519, 5022, 540, 519, 9904, 543, 782, 5022, 7222, 547, 513, 1880, 1297, 563, 3383, 9247, 267, 782, 5022, 538, 519, 9904, 723, 519, 1648, 540, 513, 1297, 563, 4517, 952, 596, 1491, 513, 1413, 693, 713, 3113, 267, 596, 666, 1265, 856, 1018, 1297, 1142, 4484, 814, 519, 1379, 540, 780, 3383, 513, 814, 519, 1648, 540, 513, 3056, 645, 814, 519, 1648, 540, 513, 1297, 563, 10521, 595, 814, 519, 1379, 540, 513, 1297, 1614, 543, 865, 593, 267, 543, 865, 593, 563, 3383, 267, 585, 519, 4082, 1297, 267, 782, 596, 723, 547, 798, 568, 1039, 1169, 835, 540, 519, 5022, 538, 707, 2347, 4332, 2012, 267, 865, 519, 1101, 267, 4099, 267, 543, 2063, 2012, 593, 707, 4332, 13995, 543, 2539, 873, 1524, 547, 835, 1297, 269, 2860, 2407, 7599, 692, 3383, 538, 713, 1383, 267, 649, 723, 4432, 6665, 3465, 2917, 563, 3383, 1018, 594, 1705, 729, 594, 3576, 513, 1413, 693, 519, 1297, 5750, 267, 543, 594, 4092, 519, 7222, 1297, 829, 4484, 538, 4432, 6665, 779, 2012, 563, 3383, 661, 568, 513, 476, 276, 267, 561, 568, 513, 1614, 966, 568, 513, 2185, 780, 296, 993, 513, 476, 280, 267, 543, 594, 3274, 1336, 782, 540, 519, 2338, 8204, 1169, 835, 540, 519, 5022, 538, 1010, 2012, 282, 543, 594, 3773, 782, 540, 1346, 2338, 609, 1142, 824, 267, 543, 519, 2063, 1297, 594, 5833, 729, 606, 476, 10037, 563, 10190, 594, 3769, 519, 476, 279, 543, 519, 835, 609, 1142, 824, 2094, 649, 991, 547, 1832, 8840, 891, 1524, 2394, 649, 1205, 513, 2582, 18251, 267, 543, 950, 594, 1767, 519, 476, 279, 543, 519, 835, 1927, 267, 594, 3893, 513, 8370, 267, 865, 4432, 6665, 779, 4082, 1297, 568, 513, 8370, 563, 3086, 519, 835, 25896, 1141, 596, 1131, 6157, 711, 2611, 547, 1331, 891, 2338, 1927, 2394, 596, 5833, 513, 22072, 7857, 1131, 581, 952, 596, 3893, 513, 4487, 1297, 267, 865, 519, 1614, 4487, 2338, 616, 476, 1556, 267, 476, 2420, 267, 543, 476, 3451, 780, 2252, 596, 5833, 513, 4487, 1297, 267, 596, 1131, 711, 3136, 547, 1331, 891, 2338, 1927, 563, 2791, 786, 2226, 873, 607, 2901, 476, 1556, 267, 476, 2420, 267, 610, 476, 3451, 563, 3383, 621, 14626, 1938, 25896, 607, 621, 729, 609, 519, 1272, 3368, 1297, 543, 519, 14512, 11812, 1297, 780, 763, 4487, 2338, 616, 3982, 267, 543, 649, 798, 711, 1039, 1312, 5515, 1927, 267, 865, 8876, 593, 547, 519, 1151, 525, 20882, 1297, 865, 12212, 519, 1151, 525, 20882, 1297, 666, 581, 1572, 519, 2582, 1297, 267, 543, 621, 666, 10123, 581, 1572, 519, 2295, 779, 991, 1297, 563, 4322, 1913, 616, 1500, 946, 540, 25262, 958, 855, 917, 8164, 596, 1294, 519, 2582, 1297, 610, 2295, 779, 7287, 1297, 602, 789, 616, 9247, 519, 3169, 1482, 3364, 607, 513, 1151, 525, 20882, 1297, 563, 2690, 713, 1297, 267, 649, 786, 1331, 782, 540, 519, 24008, 538, 707, 2347, 4332, 2012, 780, 9336, 835, 540, 519, 24008, 538, 707, 1360, 1101, 267, 1647, 267, 543, 2063, 2012, 593, 707, 4332, 13995, 267, 543, 649, 2461, 2469, 547, 6175, 873, 547, 835, 7857, 563, 3383, 649, 2461, 1034, 532, 2693, 547, 946, 519, 3169, 1482, 25355, 3113, 602, 649, 1705, 538, 519, 2250, 267, 543, 649, 2461, 1034, 532, 2693, 547, 3406, 585, 1169, 835, 540, 519, 2338, 602, 6474, 547, 519, 24008, 538, 707, 1360, 1101, 267, 1647, 267, 543, 21519, 563, 3383, 1318, 1934, 649, 723, 25562, 5664, 2023, 780, 296, 25015, 3274, 1705, 513, 3381, 593, 1200, 6746, 1108, 267, 865, 594, 23125, 1946, 711, 8415, 1200, 2221, 563, 3383, 1200, 1360, 1101, 4099, 543, 21519, 616, 21965, 267, 10906, 5664, 2023, 267, 865, 594, 22646, 585, 519, 2338, 7222, 547, 1152, 519, 24008, 538, 1200, 2012, 563, 3383, 267, 607, 596, 666, 1294, 267, 606, 11224, 476, 272, 645, 5666, 547, 476, 276, 267, 594, 5666, 547, 8370, 267, 543, 661, 5666, 547, 476, 276, 267, 543, 19952, 594, 1705, 602, 585, 782, 540, 519, 24008, 538, 1200, 2347, 2012, 780, 4517, 1287, 594, 3274, 3773, 782, 540, 1346, 2338, 609, 1142, 824, 267, 543, 602, 5795, 803, 476, 2568, 267, 543, 1310, 602, 476, 2568, 6971, 547, 1297, 476, 277, 1813, 547, 519, 1249, 602, 649, 3314, 649, 2461, 3274, 12394, 547, 2736, 891, 2338, 1524, 909, 2394, 649, 1205, 513, 22072, 7857, 563, 3383, 538, 713, 3510, 267, 25562, 779, 1530, 9567, 779, 20882, 1297, 568, 513, 1297, 476, 277, 780, 25387, 596, 786, 6157, 711, 8399, 547, 3441, 1524, 519, 2338, 952, 596, 1205, 606, 476, 1556, 267, 513, 476, 2420, 267, 610, 513, 476, 3451, 267, 865, 267, 607, 594, 1767, 609, 782, 519, 824, 2338, 952, 596, 3489, 1851, 891, 2338, 267, 713, 568, 513, 4487, 1297, 267, 543, 649, 798, 711, 1331, 1312, 5515, 609, 1142, 824, 865, 476, 1556, 267, 476, 2420, 543, 476, 3451, 616, 4487, 2338, 780, 4692, 1356, 9509, 9855, 692, 2252, 596, 3489, 1851, 1346, 607, 707, 14326, 20882, 2338, 267, 596, 786, 6157, 711, 2611, 547, 1331, 519, 2338, 1927, 282, 596, 786, 6157, 1832, 873, 607, 12242, 9704, 269, 0, 5416, 264, 667, 815, 590, 1535, 570, 26395, 312, 310, 3036, 9169, 269, 14572, 519, 18289, 543, 20970, 540, 5940, 1734, 13038, 14893, 5999, 540, 1362, 476, 277, 3163, 3848, 476, 1015, 14330, 304, 666, 581, 540, 3665, 948, 607, 596, 786, 581, 3222, 540, 782, 519, 2035, 269, 3557, 519, 1739, 6898, 616, 6936, 610, 8771, 281, 7726, 476, 272, 269, 630, 320, 264, 5163, 23048, 3211, 585, 18289, 543, 5384, 4976, 585, 1362, 476, 278, 538, 7300, 585, 1863, 4647, 269, 634, 3003, 19436, 1837, 2055, 723, 1044, 12193, 676, 1655, 3610, 585, 596, 269, 630, 322, 264, 2786, 1899, 630, 320, 264, 3432, 630, 320, 264, 21247, 1403, 649, 20301, 3432, 676, 590, 267, 3845, 676, 667, 543, 942, 676, 570, 267, 519, 2078, 1063, 891, 9424, 568, 1323, 3618, 29349, 835, 4838, 1472, 519, 3141, 538, 281, 634, 5163, 540, 31954, 9325, 568, 10009, 269, 1411, 666, 3277, 547, 19436, 10298, 585, 4147, 476, 278, 3163, 3848, 476, 1724, 18289, 543, 5384, 547, 23590, 519, 2035, 538, 519, 21038, 3927, 543, 2087, 707, 8458, 540, 17516, 1164, 7436, 538, 707, 4604, 11400, 269, 634, 590, 15660, 269, 630, 323, 264, 9039, 540, 891, 269, 7726, 476, 1789, 269, 2201, 2810, 519, 3259, 540, 519, 28764, 519, 14251, 566, 1974, 849, 2560, 16414, 8796, 269, 630, 322, 264, 3432, 7726, 476, 6078, 269, 630, 322, 264, 1312, 7726, 476, 1321, 269, 630, 322, 264, 645, 547, 589, 267, 589, 547, 645, 543, 645, 547, 744, 2201, 519, 4493, 540, 1739, 6516, 270, 4605, 2626, 519, 2055, 2016, 2630, 281, 589, 28764, 23638, 23651, 543, 585, 2072, 8429, 998, 962, 267, 519, 1647, 1448, 540, 519, 14251, 566, 269, 630, 323, 264, 9039, 540, 891, 269, 630, 321, 264, 1875, 10595, 6134, 630, 322, 264, 476, 3607, 544, 4882, 630, 321, 264, 21240, 4147, 476, 280, 3163, 14330, 17988, 3245, 3848, 476, 279, 18289, 269, 634, 942, 1974, 540, 513, 2241, 28764, 568, 519, 942, 3144, 676, 621, 547, 2951, 689, 7726, 476, 5655, 269, 630, 320, 264, 17086, 616, 2147, 9117, 538, 519, 1482, 4287, 269, 630, 323, 264, 9039, 540, 891, 267, 7726, 476, 279, 269, 630, 320, 264, 7455, 1899, 630, 321, 264, 476, 276, 544, 335, 901, 12013, 541, 3070, 814, 2055, 593, 1271, 8174, 725, 267, 10230, 2042, 543, 11708, 269, 898, 2337, 538, 8600, 7561, 585, 519, 3803, 4604, 981, 269, 630, 323, 264, 5163, 540, 513, 5721, 593, 513, 2786, 1899, 269, 596, 666, 1449, 707, 1702, 543, 6218, 3054, 269, 589, 7504, 17444, 513, 7047, 814, 14251, 2218, 20517, 269, 18289, 543, 5384, 4147, 476, 278, 14330, 17988, 5999, 609, 12226, 269, 7726, 476, 272, 269, 6657, 593, 513, 2834, 4493, 865, 602, 596, 666, 3801, 519, 13038, 14893, 7392, 5999, 540, 476, 278, 628, 4147, 13174, 3362, 269, 1452, 14330, 304, 781, 616, 5393, 2565, 585, 782, 594, 17698, 1053, 547, 6060, 1732, 7436, 269, 7726, 476, 866, 269, 14330, 304, 5999, 585, 4147, 476, 278, 3163, 609, 12226, 616, 5423, 607, 829, 519, 26257, 11929, 23694, 269, 630, 322, 264, 14251, 566, 7726, 476, 2764, 269, 14330, 304, 5999, 585, 4147, 476, 278, 3163, 609, 12226, 941, 5423, 1759, 593, 519, 5767, 981, 4806, 269, 630, 322, 264, 476, 2004, 5998, 10774, 634, 3044, 1770, 540, 942, 568, 281, 7726, 476, 272, 269, 2289, 5006, 3736, 269, 630, 320, 264, 14251, 2218, 5163, 13038, 14893, 5999, 630, 30555, 264, 585, 23048, 4147, 476, 278, 782, 5396, 593, 5440, 704, 14048, 269, 901, 1449, 568, 681, 730, 2318, 676, 476, 11011, 260, 1053, 8600, 585, 4147, 476, 278, 20136, 14330, 304, 1449, 568, 1644, 547, 4147, 476, 278, 21038, 267, 5423, 676, 4147, 476, 278, 3610, 269, 634, 3432, 540, 513, 1286, 568, 476, 4649, 5998, 10774, 269, 476, 273, 269, 1403, 519, 3432, 540, 513, 1560, 3001, 538, 513, 2786, 1899, 2242, 1287, 519, 3432, 540, 519, 1560, 568, 281, 4841, 666, 4194, 891, 18289, 543, 5384, 4147, 476, 278, 14330, 17988, 5999, 609, 12226, 543, 2708, 741, 7041, 1377, 269, 630, 322, 264, 476, 276, 630, 320, 264, 519, 2596, 1770, 540, 942, 568, 2034, 8281, 3767, 1547, 7726, 689, 1360, 1271, 3584, 616, 4988, 676, 19436, 1401, 6374, 541, 4147, 476, 277, 269, 2791, 849, 1205, 2856, 827, 519, 1826, 540, 2055, 543, 1505, 547, 2626, 538, 707, 4147, 476, 277, 628, 6514, 269, 630, 322, 264, 590, 815, 6695, 2765, 346, 272, 2410, 307, 6525, 6398, 667, 7726, 476, 1015, 269, 630, 323, 264, 2786, 1899, 269, 26818, 336, 2203, 1957, 593, 5163, 543, 942, 1547, 17726, 281, 634, 3845, 24964, 676, 513, 1560, 538, 513, 2016, 942, 269, 6744, 519, 2630, 19436, 14330, 304, 5999, 585, 4147, 476, 278, 3163, 3848, 476, 280, 14606, 609, 12226, 21584, 1863, 4647, 269, 4873, 476, 2918, 267, 476, 1001, 278, 5437, 476, 272, 267, 476, 1708, 271, 1353, 318, 17213, 619, 269, 2847, 2581, 4976, 1362, 642, 4512, 5163, 543, 942, 2789, 3903, 2055, 630, 1839, 2055, 264, 799, 540, 519, 1739, 568, 3001, 538, 7833, 5163, 6902, 2241, 28764, 282, 1286, 3001, 609, 4657, 3432, 6902, 5721, 3001, 538, 513, 2786, 8115, 6902, 1312, 513, 543, 524, 1547, 630, 323, 264, 782, 540, 891, 269, 630, 320, 264, 2786, 1899, 5163, 7726, 476, 273, 540, 476, 1015, 269, 630, 321, 264, 3018, 3967, 476, 1240, 267, 1708, 272, 910, 4530, 281, 5741, 850, 18289, 1923, 476, 1015, 5999, 14330, 304, 4530, 814, 2055, 540, 4147, 476, 1556, 7041, 269, 2368, 1271, 12700, 827, 18289, 543, 5384, 4976, 585, 1362, 476, 278, 269, 31280, 3211, 267, 12726, 4574, 267, 7726, 8492, 543, 2653, 547, 1451, 1353, 4967, 585, 782, 5049, 543, 5396, 1759, 593, 23048, 543, 19436, 4808, 269, 7726, 476, 4391, 269, 9612, 570, 12781, 570, 12460, 32310, 570, 12460, 8298, 514, 269, 630, 321, 264, 11281, 829, 2034, 23048, 4147, 476, 278, 910, 3163, 910, 8863, 1724, 910, 18289, 543, 5384, 18289, 543, 5384, 269, 610, 1378, 606, 269, 589, 2241, 28764, 568, 606, 1383, 540, 281, 630, 321, 264, 7833, 5163, 630, 320, 264, 476, 1015, 3108, 7726, 476, 2420, 269, 630, 321, 264, 476, 278, 269, 14572, 519, 18289, 543, 5384, 13038, 14893, 5999, 540, 4147, 476, 278, 3163, 3848, 476, 1724, 14330, 304, 666, 581, 540, 3665, 948, 607, 596, 786, 581, 3222, 540, 782, 519, 2035, 269, 630, 320, 264, 476, 25953, 7726, 476, 276, 269, 7726, 476, 273, 269, 4147, 476, 278, 18289, 6874, 830, 269, 630, 323, 264, 782, 540, 891, 269, 630, 321, 264, 476, 736, 544, 4882, 4855, 570, 12460, 269, 630, 320, 264, 1535, 14289, 7726, 476, 280, 269, 1452, 14330, 17988, 616, 1271, 689, 519, 981, 1448, 540, 2070, 269, 11554, 540, 9219, 5673, 593, 13350, 5163, 269, 630, 321, 264, 476, 13301, 5998, 6732, 4530, 585, 4147, 476, 278, 8212, 18289, 543, 5384, 1547, 7726, 476, 2537, 269, 630, 323, 264, 9039, 540, 891, 269, 6657, 4147, 476, 278, 3163, 3848, 476, 1724, 18289, 543, 5384, 14330, 304, 1449, 269, 630, 321, 264, 3113, 7726, 476, 277, 269, 14721, 7756, 5573, 1063 ]

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

[ 18983, 527, 7304, 3225, 1600, 4762, 1441, 28805, 19938, 729, 2813, 547, 948, 2061, 891, 13685, 269, 1656, 519, 2817, 8881, 7027, 781, 4762, 1441, 28805, 28597, 9751, 12054, 14373, 666, 948, 596, 2322, 519, 7939, 883, 2259, 543, 4688, 2729, 563, 7437, 4901, 543, 2238, 267, 938, 3318, 4863, 1807, 786, 2736, 1524, 519, 7939, 883, 2474, 596, 666, 1174, 269, 769, 1175, 2185, 3108, 267, 596, 3513, 1451, 2853, 543, 5773, 602, 786, 1832, 596, 538, 10220, 543, 267, 1655, 540, 782, 267, 2149, 707, 5520, 563, 763, 6092, 3213, 951, 912, 7659, 2609, 540, 519, 13013, 11190, 18983, 527, 7304, 3225, 1600, 4762, 1441, 28805, 19938, 630, 3066, 595, 15709, 476, 4489, 271, 269, 16409, 994, 18183, 1441, 5624, 2035, 543, 16166, 454, 763, 3017, 1063, 16876, 5624, 543, 11863, 3146, 638, 1600, 16876, 5624, 454, 1692, 547, 2697, 543, 6218, 6328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19739, 24209, 1299, 27483, 302, 10292, 24209, 1315, 28645, 1299, 715, 27658, 1315, 1763, 26443, 543, 17073, 29594, 619, 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, 13898, 267, 607, 513, 9015, 602, 11394, 7326, 543, 1620, 540, 4641, 781, 1034, 7096, 2055, 267, 814, 22734, 1585, 14759, 2429, 1686, 269, 2290, 971, 7004, 7018, 1282, 519, 11193, 1974, 267, 4481, 998, 519, 25954, 540, 3026, 6955, 26293, 1143, 269, 901, 3350, 6825, 513, 1713, 6521, 538, 10952, 2219, 267, 16471, 8106, 2093, 609, 4168, 18381, 267, 7551, 12018, 1148, 267, 3332, 267, 2257, 267, 6214, 267, 543, 4984, 269, 1677, 9787, 713, 7214, 4720, 781, 4644, 267, 1577, 721, 5490, 883, 922, 3140, 2796, 267, 1883, 5515, 267, 4295, 28975, 267, 543, 1764, 593, 4207, 2486, 780, 30399, 267, 519, 11193, 7153, 538, 7977, 1282, 519, 3735, 2185, 18818, 2540, 267, 28043, 519, 7934, 1063, 10120, 543, 2413, 3864, 10340, 269, 1306, 1480, 7919, 2699, 4593, 2642, 741, 1761, 543, 1871, 267, 789, 3459, 15819, 32618, 4978, 13684, 676, 3909, 5238, 269, 9182, 267, 2043, 899, 8891, 337, 1105, 267, 16902, 990, 28839, 623, 4815, 546, 7578, 21001, 526, 7637, 267, 543, 9370, 559, 1470, 674, 545, 3626, 27490, 20243, 519, 6051, 540, 8106, 5931, 1107, 3226, 1346, 2404, 609, 15107, 517, 1143, 1107, 3056, 547, 1007, 12496, 540, 21042, 12695, 267, 7881, 267, 26381, 1108, 267, 15312, 267, 543, 6214, 780, 10468, 6955, 26293, 1143, 3294, 12090, 538, 3791, 10601, 28641, 267, 5527, 267, 607, 18140, 19434, 8179, 547, 31363, 18573, 781, 10752, 609, 14163, 582, 27318, 7954, 269, 1261, 1064, 1243, 1614, 4909, 3741, 281, 519, 2290, 630, 1492, 10700, 2707, 540, 782, 1919, 1070, 2271, 5878, 630, 15965, 710, 4555, 32338, 908, 689, 519, 2290, 1070, 543, 31522, 630, 655, 10698, 3743, 585, 2870, 519, 1570, 7706, 1040, 13536, 267, 1160, 1816, 15568, 891, 3741, 267, 10962, 25327, 1369, 1142, 1377, 267, 10771, 1184, 542, 543, 2132, 267, 543, 2566, 532, 519, 2956, 540, 14719, 894, 2853, 538, 8236, 9322, 609, 519, 10143, 269, 4438, 519, 7969, 11193, 267, 3026, 6955, 520, 4577, 4798, 15449, 730, 2686, 7215, 267, 11121, 5159, 267, 5830, 267, 3744, 267, 543, 14761, 7567, 780, 4263, 519, 2295, 540, 3026, 6955, 26293, 626, 4860, 2526, 6013, 519, 10206, 540, 29355, 23835, 1108, 282, 3388, 6818, 1317, 621, 8843, 538, 519, 9759, 540, 519, 16637, 550, 2290, 269, 5274, 20339, 267, 4352, 1671, 333, 1563, 538, 1351, 335, 648, 531, 3029, 267, 11677, 513, 8141, 540, 2820, 6541, 7175, 873, 547, 10841, 754, 1394, 2509, 741, 2707, 269, 1280, 3236, 267, 674, 545, 3626, 9738, 602, 3425, 1223, 12492, 5289, 21481, 3842, 25386, 2833, 19658, 676, 2575, 267, 6965, 267, 6128, 267, 543, 17651, 269, 1635, 2502, 538, 3860, 18129, 267, 2043, 11349, 16495, 267, 6536, 1582, 18221, 267, 543, 6038, 16637, 2168, 7687, 780, 11101, 267, 3026, 6955, 26293, 1235, 5156, 602, 5898, 6039, 607, 513, 31026, 527, 1063, 3618, 569, 6228, 543, 18477, 10103, 269, 1358, 11130, 602, 11287, 8167, 267, 15340, 267, 543, 2234, 4800, 538, 2470, 610, 7499, 13144, 859, 12097, 4606, 540, 7772, 267, 27527, 267, 543, 2648, 269, 6270, 4664, 8272, 549, 1042, 10143, 7907, 1459, 1369, 13951, 267, 20872, 26126, 543, 7287, 585, 9769, 609, 519, 18104, 269, 4935, 267, 15312, 2968, 7533, 547, 5683, 1646, 267, 25967, 1681, 875, 5837, 2208, 31030, 2390, 9301, 25872, 1851, 9583, 19635, 9988, 780, 4504, 3419, 5224, 569, 267, 15244, 540, 3026, 6955, 26293, 1143, 6414, 538, 2221, 781, 11407, 3823, 2825, 9637, 267, 1514, 5126, 267, 543, 6639, 7760, 269, 12634, 17024, 2721, 19320, 1063, 8733, 3666, 543, 17184, 1931, 267, 10223, 938, 5539, 547, 8190, 3047, 781, 10347, 11466, 269, 6684, 267, 15156, 585, 13784, 543, 4763, 1045, 5803, 3741, 28330, 547, 29355, 23835, 1108, 267, 19163, 602, 1169, 1367, 8309, 19918, 547, 7104, 8171, 269, 14936, 267, 9840, 4478, 5841, 4987, 1419, 31721, 1472, 2436, 6191, 666, 4865, 7915, 15683, 610, 3035, 2366, 1466, 267, 16079, 532, 5717, 7282, 519, 9997, 781, 1909, 538, 1918, 908, 2713, 7919, 780, 2414, 9414, 2417, 267, 2015, 519, 11944, 540, 1098, 16058, 1143, 1107, 513, 3661, 1062, 14957, 585, 7393, 1480, 19206, 1210, 2029, 269, 1520, 6254, 338, 8044, 602, 26399, 7350, 609, 12227, 786, 5512, 8103, 547, 20546, 922, 5042, 543, 12214, 10148, 267, 3976, 16734, 2150, 11474, 1761, 269, 2755, 930, 2070, 713, 13287, 607, 13398, 5142, 267, 28288, 4831, 602, 971, 7835, 8806, 2992, 30768, 781, 17916, 8321, 566, 2509, 5601, 3125, 267, 24188, 540, 3026, 6955, 520, 4577, 16431, 780, 1103, 3932, 267, 519, 3026, 6955, 26293, 626, 4860, 2526, 27648, 513, 11358, 4090, 538, 5375, 6138, 267, 18534, 12686, 7214, 26336, 1282, 519, 11193, 1247, 6028, 9434, 791, 29251, 593, 7766, 5481, 269, 1635, 3695, 4296, 1063, 3309, 11890, 1107, 8151, 689, 21042, 12695, 547, 7881, 267, 15312, 547, 6214, 1107, 3026, 6955, 26293, 1235, 25139, 11444, 2509, 1582, 3146, 531, 1436, 267, 11744, 602, 6138, 3788, 4143, 3564, 4081, 10580, 269, 11569, 267, 21679, 609, 15851, 4145, 2636, 721, 711, 1152, 547, 5660, 2250, 10781, 855, 849, 547, 18783, 2104, 2591, 267, 4180, 602, 993, 10270, 618, 267, 22035, 7321, 267, 543, 4898, 3136, 30740, 7279, 543, 6602, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 2262, 6138, 2501, 689, 519, 5259, 1913, 3758, 514, 630, 1729, 2648, 264, 543, 338, 2684, 807, 630, 342, 529, 3256, 1916, 4942, 3342, 4451, 2090, 543, 11225, 519, 7182, 543, 7399, 540, 1702, 543, 6228, 540, 812, 267, 2808, 607, 2582, 543, 607, 1373, 1644, 547, 1866, 269, 4475, 972, 568, 513, 7811, 2427, 543, 513, 4052, 835, 269, 634, 8545, 729, 513, 1292, 1641, 2523, 538, 3504, 10255, 1141, 519, 2797, 2460, 540, 519, 1135, 529, 729, 1360, 23801, 269, 769, 3504, 10255, 519, 14544, 729, 513, 22267, 267, 606, 31485, 267, 513, 8797, 812, 512, 719, 5480, 563, 8649, 10270, 618, 267, 22035, 7321, 543, 4898, 4547, 827, 6138, 538, 10255, 269, 5259, 6138, 3357, 827, 950, 812, 7691, 519, 1158, 568, 4190, 267, 543, 1287, 5433, 519, 991, 547, 4766, 543, 1174, 621, 269, 3414, 6138, 267, 812, 5433, 851, 540, 519, 1158, 811, 7184, 563, 292, 22029, 4547, 721, 547, 10255, 267, 2705, 267, 621, 2731, 2919, 12341, 3116, 269, 4634, 1498, 621, 568, 2352, 547, 7682, 1141, 543, 950, 6138, 729, 4535, 267, 1472, 476, 1911, 271, 645, 5861, 269, 513, 1259, 540, 3206, 799, 568, 1945, 1063, 6138, 543, 4984, 9782, 538, 594, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 6579, 5308, 8008, 14176, 1315, 3778, 1299, 24028, 903, 1315, 11193, 1315, 3026, 6955, 26293, 626, 4860, 2526, 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, 22569, 1456, 7025, 9697, 770, 1886, 1127, 281, 589, 17714, 3414, 674, 12302, 2598, 7539, 692, 7072, 912, 5970, 596, 2479, 1224, 513, 1433, 610, 14478, 513, 7260, 1141, 519, 3047, 729, 6849, 606, 11999, 2825, 9568, 286, 1452, 2984, 666, 581, 13858, 267, 2219, 4538, 267, 543, 3006, 1256, 17559, 256, 769, 713, 3184, 267, 649, 3513, 2263, 1585, 14070, 2825, 12469, 1336, 538, 2257, 5708, 3332, 543, 8874, 267, 3226, 3284, 32565, 543, 2022, 268, 777, 32565, 6386, 269, 1284, 786, 1865, 875, 891, 2984, 948, 721, 1174, 1483, 8996, 2825, 2152, 1247, 3246, 9913, 269, 2913, 781, 4685, 883, 519, 1158, 540, 2825, 31685, 5708, 2439, 4089, 476, 272, 281, 6820, 654, 9879, 543, 4706, 31664, 454, 3080, 2101, 3390, 1082, 4589, 543, 32349, 1445, 593, 568, 2518, 8337, 269, 901, 7613, 4386, 1813, 547, 606, 2333, 538, 8511, 9362, 899, 3327, 8166, 538, 938, 5790, 267, 29212, 3002, 543, 9870, 5210, 5001, 269, 2755, 621, 949, 3280, 899, 513, 2318, 1689, 267, 31250, 2518, 8337, 5012, 547, 4049, 4539, 971, 607, 8375, 4262, 2157, 267, 3665, 4365, 2621, 267, 543, 21463, 547, 8134, 780, 5331, 513, 1650, 1305, 538, 19778, 267, 1141, 6172, 520, 5505, 1353, 2242, 538, 519, 2916, 269, 4438, 741, 1382, 267, 789, 7198, 513, 7372, 4672, 6656, 8840, 6306, 689, 519, 22163, 1813, 547, 29099, 3636, 5210, 269, 6270, 606, 2680, 1131, 5305, 5318, 5666, 540, 15195, 883, 519, 12084, 267, 3056, 547, 27290, 10593, 538, 5836, 14768, 543, 5732, 4929, 1776, 10979, 6520, 30867, 6397, 12343, 540, 2518, 8337, 2439, 12244, 281, 5620, 1053, 1711, 513, 13371, 14816, 20515, 519, 1523, 540, 2518, 8337, 543, 922, 1761, 5222, 593, 938, 4541, 1210, 3197, 689, 2442, 27977, 610, 9413, 269, 11559, 873, 547, 1589, 21176, 543, 1039, 2609, 540, 24457, 610, 9983, 780, 4089, 476, 273, 281, 7464, 2622, 28620, 5288, 269, 2233, 19712, 3493, 11881, 454, 4407, 2257, 5708, 1419, 3217, 3860, 23118, 538, 9446, 532, 2825, 12469, 267, 1896, 2035, 616, 12082, 538, 4641, 269, 1280, 3236, 267, 4028, 2837, 12772, 543, 7920, 7088, 1949, 1522, 1831, 811, 7928, 1813, 547, 2916, 1689, 269, 5994, 513, 9381, 2749, 1373, 5734, 676, 513, 3532, 19996, 4553, 676, 6727, 16171, 5210, 269, 4658, 1131, 723, 547, 1265, 12062, 3533, 543, 3082, 547, 10792, 2713, 2175, 780, 1103, 835, 14070, 2272, 267, 15000, 1491, 9675, 538, 513, 1804, 2679, 899, 513, 1857, 5399, 1310, 513, 14042, 23329, 16716, 513, 4583, 1558, 24227, 269, 2060, 1100, 1379, 543, 3908, 2200, 267, 789, 1590, 960, 1927, 547, 3251, 9800, 5103, 519, 535, 3419, 573, 4411, 3544, 269, 4635, 17077, 2326, 267, 789, 1628, 11642, 543, 1202, 3634, 2933, 1996, 519, 24146, 28306, 780, 15761, 3290, 11314, 281, 19147, 1053, 883, 1507, 2516, 543, 3651, 1142, 1895, 513, 1808, 2067, 9568, 630, 324, 3052, 1421, 13091, 267, 28575, 267, 6360, 1040, 9105, 873, 547, 4952, 1018, 1272, 1131, 581, 899, 952, 602, 9568, 5949, 538, 14966, 609, 3665, 12119, 2242, 3361, 676, 2916, 1689, 269, 4841, 1058, 1287, 2328, 513, 2110, 6429, 18995, 519, 2591, 5185, 676, 15000, 3843, 547, 3343, 3106, 543, 14246, 780, 6962, 912, 18698, 2825, 12469, 998, 5708, 2636, 721, 547, 14719, 622, 1761, 4093, 540, 1483, 8996, 2042, 1247, 11981, 9159, 2984, 269, 5548, 1324, 4514, 883, 891, 6386, 2337, 11349, 7279, 267, 5876, 267, 543, 2565, 3206, 1983, 1898, 585, 1620, 1950, 2825, 2152, 269, 5047, 267, 7234, 19858, 338, 7512, 1053, 547, 1020, 2994, 585, 7231, 609, 16839, 19100, 543, 3227, 520, 24312, 269, 0, 2080, 568, 606, 1349, 689 ]

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

[ 2069, 538, 7819, 3506, 568, 5571, 543, 4657, 2221, 267, 1004, 2097, 689, 513, 2647, 5044, 540, 4529, 1519, 1004, 689, 607, 807, 267, 519, 1647, 7532, 267, 32204, 13314, 267, 9456, 21570, 543, 21562, 6466, 267, 4505, 5481, 540, 11082, 3357, 689, 6140, 7262, 543, 269, 634, 1289, 547, 4001, 281, 18371, 2069, 4481, 950, 621, 2501, 547, 13314, 267, 621, 568, 2629, 602, 18371, 2069, 2291, 609, 519, 2810, 1297, 540, 1053, 945, 3717, 513, 2034, 563, 11372, 12734, 2069, 568, 2966, 547, 4324, 2875, 4656, 267, 1620, 267, 543, 10892, 998, 519, 11865, 540, 1114, 14485, 585, 13156, 519, 7819, 865, 268, 524, 328, 1214, 543, 922, 1950, 1686, 267, 15254, 20672, 730, 8916, 543, 11175, 2520, 13132, 269, 634, 4808, 593, 18371, 2069, 267, 2866, 267, 1382, 267, 519, 7819, 5626, 7681, 781, 630, 23981, 264, 14643, 540, 13222, 519, 6388, 269, 589, 5618, 267, 3810, 28505, 7650, 540, 519, 1271, 2035, 267, 3741, 267, 6436, 267, 543, 2853, 540, 18371, 2069, 9306, 991, 3562, 268, 3104, 1344, 538, 513, 13801, 267, 3810, 28505, 2511, 267, 606, 4367, 547, 18371, 2069, 2337, 11112, 840, 28129, 543, 8026, 7855, 2333, 269, 5564, 12734, 2069, 4016, 547, 1022, 1106, 540, 2069, 610, 3450, 602, 16621, 519, 12583, 267, 5931, 267, 2418, 267, 4978, 267, 543, 5380, 540, 1004, 689, 1114, 2686, 10080, 693, 519, 4928, 1377, 267, 585, 1383, 267, 3610, 949, 12189, 610, 6451, 4245, 547, 2992, 519, 2686, 4763, 540, 519, 1053, 538, 513, 1880, 1362, 269, 0, 8698, 713, 1557, 593, 18367, 18315, 543, 11509, 1143, 693, 1101, 16145, 713, 1592, 4667, 547, 7001, 519, 2596, 1895, 902, 543, 4008, 12205, 602, 616, 693, 960, 538, 29827, 269, 3203, 3797, 1382, 1957, 1990, 11238, 4786, 3987, 1382, 1957, 5098, 585, 26583, 1505, 860, 773, 12031, 29632, 573, 1664, 5323, 527, 3540, 17626, 2990, 1198, 1557, 1382, 1957, 593, 1126, 4074, 538, 19580, 12103, 32257, 575, 16905, 1557, 2261, 27821, 562, 756, 663, 327, 1250, 4651, 568, 513, 2241, 812, 2079, 1557, 269, 21434, 1143, 1753, 5339, 875, 1223, 1352, 711, 581, 267, 950, 1352, 1185, 519, 9345, 547, 2097, 909, 609, 18367, 18315, 543, 1010, 20599, 18367, 18315, 610, 267, 519, 2413, 269, 21434, 1143, 538, 18367, 18315, 29827, 6692, 2917, 781, 3209, 18367, 18315, 568, 8185, 6766, 676, 11509, 4798, 602, 1459, 2933, 2429, 519, 1257, 12503, 4547, 593, 676, 519, 4853, 4838, 1305, 538, 5163, 1082, 1713, 2242, 547, 10340, 693, 602, 942, 543, 2813, 519, 3350, 917, 607, 11509, 1143, 563, 8698, 1557, 910, 1183, 908, 318, 668, 4842, 1143, 1557, 689, 1266, 476, 1708, 273, 693, 6280, 540, 3844, 32550, 5866, 1183, 908, 476, 272, 2849, 1146, 1183, 908, 27095, 5324, 476, 2641, 267, 476, 1001, 277, 737, 987, 22220, 11876, 1156, 548, 527, 1676, 14219, 1708, 273, 18367, 18315, 1557, 29827, 6692, 18436, 269, 4828, 267, 2013, 1353, 267, 1837, 3070, 18367, 18315, 543, 519, 11509, 2144, 664, 519, 3209, 18367, 18315, 267, 676, 29827, 6692, 2917, 267, 519, 4729, 267, 4259, 267, 543, 3197, 2992, 519, 3140, 543, 9158, 3821, 1753, 269, 4828, 593, 11509, 1143, 538, 18367, 18315, 782, 3332, 568, 6766, 676, 519, 942, 1974, 538, 799, 621, 729, 2854, 2436, 621, 581, 2112, 267, 6710, 267, 610, 1022, 824, 1514, 3466, 563, 29445, 18315, 281, 513, 2203, 540, 7005, 11509, 1143, 519, 5339, 1158, 17947, 7005, 11509, 1143, 950, 621, 3459, 547, 10836, 543, 729, 865, 3144, 676, 922, 2609, 602, 621, 568, 1869, 513, 11537, 1995, 585, 519, 5467, 540, 2221, 269, 21434, 1143, 729, 606, 7214, 3350, 602, 3576, 3180, 538, 21570, 1282, 519, 3735, 476, 1240, 628, 2540, 11509, 1143, 729, 4535, 856, 540, 513, 1463, 11685, 547, 21481, 5784, 602, 15091, 2601, 267, 2257, 543, 1702, 269, 4828, 281, 18367, 18315, 11509, 5830, 616, 7255, 609, 2470, 267, 1480, 4606, 267, 9909, 267, 8296, 267, 18326, 1996, 2486, 267, 543, 5191, 540, 2043, 782, 540, 891, 4162, 616, 6829, 538, 519, 3209, 18367, 18315, 563, 13625, 593, 11509, 1143, 281, 11509, 1143, 543, 11509, 1143, 513, 548, 329, 663, 549, 4453, 340, 3266, 320, 11509, 1143, 513, 548, 329, 663, 549, 4453, 340, 3266, 320, 1208, 270, 29214, 1148, 998, 519, 6502, 12354, 3426, 476, 1556, 267, 476, 1001, 273, 575, 2958, 800, 581, 553, 2917, 11509, 1143, 952, 972, 568, 513, 5168, 538, 1148, 267, 602, 5168, 1131, 581, 602, 621, 568, 7683, 4657, 543, 9687, 269, 21434, 1143, 281, 606, 5736, 10268, 998, 3332, 930, 2161, 602, 1310, 606, 5736, 540, 11122, 32236, 267, 606, 5736, 540, 12666, 1143, 5205, 910, 519, 11509, 2609, 538, 18367, 18315, 4367, 269, 10749, 1644, 547, 575, 1054, 6291, 538, 18367, 18315, 476, 272, 18367, 18315, 630, 668, 4842, 543, 575, 15402, 16897, 264, 18367, 18315, 9985, 13352, 519, 6609, 540, 1312, 513, 11509, 543, 513, 575, 15402, 563, 32173, 1155, 281, 18367, 18315, 1557, 18367, 18315, 568, 513, 575, 15402, 16897, 3209, 602, 729, 2854, 676, 29827, 6692, 569, 543, 729, 3370, 538, 476, 8687, 279, 267, 950, 575, 15402, 12716, 267, 11509, 1143, 543, 2257, 941, 4098, 547, 21782, 538, 7262, 2528, 269, 29975, 543, 11509, 1143, 18367, 18315, 676, 19533, 6692, 2917, 267, 568, 513, 1434, 6041, 540, 11509, 1143, 1317, 519, 1650, 2982, 7553, 267, 4160, 267, 543, 6140, 4743, 267, 799, 616, 782, 4162, 540, 11509, 3332, 269, 21434, 1143, 543, 29827, 6692, 2917, 781, 18367, 18315, 1557, 476, 14631, 272, 1913, 1923, 476, 278, 3817, 11509, 1143, 543, 29827, 6692, 2917, 781, 18367, 18315, 11509, 1143, 568, 513, 6138, 602, 814, 5129, 606, 1271, 1909, 538, 519, 1646, 540, 7262, 2528, 563, 763, 3209, 18367, 18315, 676, 29827, 6692, 2917, 3568, 1896, 11509, 626, 4798, 267, 1519, 519, 25981, 543, 3592, 30642, 18572, 540, 2470, 10123, 267, 6692, 2917, 781, 3197, 616, 9141, 676, 3677, 31032, 3734, 4664, 267, 1776, 20013, 5057, 540, 11509, 626, 5708, 6368, 267, 972, 568, 519, 269, 3367, 11509, 1143, 538, 18367, 18315, 1863, 1557, 543, 936, 476, 6434, 267, 1822, 824, 1382, 6054, 11509, 1143, 538, 18367, 18315, 29827, 6692, 2917, 8563, 397, 496, 12814, 338, 3209, 267, 18367, 18315, 267, 20186, 930, 540, 519, 3844, 4145, 711, 1152, 540, 519, 11509, 3350, 543, 922, 22184, 855, 269, 21434, 1143, 538, 18367, 18315, 1557, 910, 476, 4200, 275, 1913, 519, 21555, 7866, 8101, 2963, 540, 7920, 7553, 4810, 676, 519, 3197, 543, 6655, 998, 1893, 602, 568, 6093, 540, 11509, 1143, 26037, 5011, 540, 1272, 269, 6307, 6692, 2917, 781, 476, 8687, 279, 20100, 267, 1412, 325, 17213, 18315, 10086, 568, 513, 5929, 11509, 268, 5028, 3209, 1451, 827, 513, 1906, 540, 519, 1034, 7986, 2934, 540, 519, 11509, 563, 5649, 713, 7005, 1557, 543, 936, 476, 6434, 267, 1822, 824, 1382, 6054, 11509, 1143, 538, 18367, 18315, 2348, 5030, 1063, 476, 1240, 628, 543, 476, 866, 628, 2540, 267, 2278, 29827, 6692, 2917, 729, 7494, 6766, 676, 519, 7214, 3350, 540, 11509, 1143, 269, 6307, 6692, 18436, 18367, 18315, 910, 11509, 1143, 2079, 2079, 540, 29827, 6692, 18436, 18367, 18315, 1577, 721, 1265, 596, 3594, 593, 1888, 29827, 6692, 18436, 18367, 18315, 585, 1863, 269, 29975, 19117, 519, 11964, 540, 575, 15402, 3332, 267, 2257, 5708, 267, 543, 16897, 2984, 267, 543, 11506, 519, 4567, 540, 519, 11509, 7376, 2854, 676, 6692, 2917, 950, 1352, 729, 1152, 562, 31106, 269, 9085, 281, 18367, 18315, 1557, 18367, 18315, 568, 513, 575, 15402, 16897, 3209, 602, 729, 2854, 676, 29827, 6692, 569, 543, 729, 3370, 538, 476, 8687, 279, 267, 950, 575, 15402, 12716, 267, 11509, 1143, 543, 2257, 941, 4098, 547, 21782, 538, 7262, 2528, 563, 305, 558, 4842, 1143, 543, 2470, 538, 18367, 18315, 676, 29827, 6692, 2917, 1557, 910, 18367, 18315, 676, 29827, 6692, 2917, 568, 513, 575, 15402, 2257, 5708, 3209, 2854, 538, 519, 11509, 5736, 602, 6212, 593, 519, 2609, 540, 1272, 519, 11509, 5736, 729, 17275, 676, 519, 4657, 1514, 1604, 267, 1519, 519, 4853, 4838, 269, 3367, 713, 1557, 593, 18367, 18315, 1557, 2097, 19584, 938, 1804, 3059, 23999, 540, 1863, 3732, 3594, 2101, 2021, 5830, 476, 274, 562, 4912, 476, 1001, 276, 11509, 1143, 538, 269, 22362, 476, 272, 11509, 1143, 1557, 476, 274, 3594, 593, 897, 518, 3805, 543, 18367, 18315, 835, 568, 513, 8908, 543, 519, 824, 568, 519, 3803, 5299, 543, 789, 2811, 1312, 538, 519, 1482, 3561, 269, 5131, 1557, 281, 11509, 1143, 543, 29827, 6692, 2917, 781, 18367, 18315, 11509, 1143, 568, 513, 6138, 602, 814, 5129, 606, 1271, 1909, 538, 519, 1646, 540, 7262, 2528, 269, 0, 306, 754, 519, 3095, 2630, 3842, 4757, 610, 594, 10157, 4878, 454, 303, 6974, 547, 707, 5304, 9359, 6552, 6881, 454, 268, 12833, 1243, 5304, 2818, 786, 1246, 596, 607, 596, 6330, 543, 1459, 454, 268, 4658, 14376, 547, 513, 6881, 798, 711, 991, 513, 2776, 17844, 2272, 454, 268, 901, 3095, 1163, 2231, 476, 1015, 3764, 1310, 596, 2673, 519, 6881, 454, 268, 589, 5021, 540, 476, 1789, 3755, 666, 1246, 707, 6881, 454, 268, 6258, 811, 827, 713, 4183, 538, 938, 1702, 3490, 2376, 454, 9558, 5296, 540, 645, 10165, 7734, 454, 3528, 281, 2142, 320, 654, 12000, 517, 518, 454, 763, 623, 4815, 8865, 454, 763, 476, 272, 560, 14821, 454, 7197, 5871, 30258, 547, 14465, 513, 3883, 454, 9961, 519, 1576, 540, 713, 1788, 1142, 4759, 540, 938, 2319, 2483, 268, 5649, 513, 1433, 540, 741, 3903, 602, 814, 1044, 2901, 13934, 610, 17049, 454, 6363, 895, 1806, 538, 519, 1433, 607, 547, 1946, 621, 949, 723, 1044, 17049, 454, 8862, 9287, 8039, 593, 519, 1433, 602, 789, 1224, 454, 5025, 985, 26833, 938, 6117, 2243, 454, 12749, 476, 1015, 645, 10165, 7734, 454, 5978, 32010, 7726, 454, 19675, 1053, 581, 4847, 547, 2638, 856, 1022, 1433, 538, 741, 1153, 610, 1857, 5399, 888, 12552, 1280, 654, 10248, 2336, 2171, 4126, 596, 10150, 713, 2336, 293, 697, 585, 711, 7333, 940, 2835, 2336, 2704, 4022, 543, 24391, 454, 763, 18671, 652, 16685, 454, 293, 604, 1399, 1744, 3547, 540, 27578, 454, 763, 12017, 518, 10632, 454, 288, 14068, 15196, 666, 581, 6153, 585, 513, 21756, 454, 307, 1415, 320, 10557, 12942, 454, 19185, 585, 14522, 454, 763, 3131, 802, 540, 1373, 513, 9931, 17810, 454, 763, 25999, 6936, 4144, 776, 540, 513, 3487, 6874, 830, 4095, 454, 289, 1652, 2725, 8299, 9874, 454, 8170, 519, 476, 2641, 560, 11416, 454, 290, 2194, 664, 7201, 335, 1218, 630, 338, 7685, 994, 763, 8274, 540, 4065, 5288, 269, 623, 4815, 729, 513, 2013, 602, 607, 4956, 593, 4873, 476, 1839, 267, 476, 2735, 273, 538, 519, 18678, 5480, 269, 589, 12233, 540, 3237, 543, 1153, 5234, 12912, 676, 519, 8274, 540, 4065, 6569, 2835, 689, 519, 1153, 5399, 21684, 602, 789, 19040, 607, 834, 21468, 12677, 267, 4550, 268, 22146, 267, 4550, 4149, 655, 12792, 267, 543, 1175, 10750, 2083, 20321, 4799, 763, 4604, 2818, 267, 2348, 1152, 1185, 1224, 32461, 689, 519, 2835, 267, 10288, 519, 21246, 1023, 547, 4894, 5216, 540, 519, 2835, 689, 519, 21738, 1164, 543, 1164, 1153, 8021, 269, 4400, 1153, 1053, 24697, 623, 4815, 267, 10496, 638, 5202, 7108, 267, 3794, 3317, 962, 1551, 529, 267, 21651, 681, 773, 3455, 543, 21738, 1164, 2875, 6754, 1924, 577, 1231, 7288, 4547, 2962, 1996, 519, 1153, 4604, 269, 1358, 10645, 602, 741, 1101, 14821, 2924, 941, 26991, 563, 763, 18678, 5480, 2877, 547, 2626, 713, 2243, 281, 9894, 519, 4604, 540, 4065, 781, 3375, 547, 7333, 1978, 2835, 689, 922, 21738, 1164, 543, 1164, 1153, 8021, 267, 1759, 593, 741, 1543, 267, 29875, 519, 3689, 14821, 781, 5191, 6361, 6741, 3663, 20038, 888, 3528, 513, 476, 276, 268, 275, 8917, 267, 519, 10966, 7040, 4956, 602, 519, 3689, 14821, 2924, 540, 519, 1053, 941, 26991, 563, 763, 7734, 538, 7726, 454, 763, 1433, 2689, 12233, 8120, 634, 674, 1460, 518, 267, 700, 2795, 532, 15196, 267, 4563, 15196, 267, 3619, 9105, 7705, 267, 543, 7454, 10374, 12267, 676, 27740, 19536, 269, 634, 715, 8898, 589, 701, 543, 13560, 1452, 6399, 6790, 1115, 941, 6569, 563, 20228, 5922, 5264, 12866, 729, 2139, 1152, 609, 2385, 10479, 563, 17812, 816, 4927, 1118, 1100, 1876, 18245, 606, 10661, 540, 4984, 267, 610, 10238, 1746, 519, 1863, 3635, 23476, 282, 610, 705, 5090, 3101, 519, 5191, 540, 4633, 267, 610, 540, 519, 2046, 282, 610, 519, 1318, 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 ]

[ 707, 3666, 543, 6617, 267, 2119, 10649, 610, 12872, 15616, 563, 21848, 2920, 1947, 2060, 2659, 7991, 454, 21430, 2318, 6197, 2242, 568, 4443, 609, 519, 1489, 540, 707, 2146, 269, 2311, 15765, 28544, 538, 31671, 20899, 267, 938, 3804, 568, 547, 948, 4587, 4079, 1451, 811, 827, 3056, 2635, 19824, 269, 4855, 856, 875, 547, 1205, 3238, 609, 938, 5993, 2621, 630, 10175, 519, 31671, 20899, 476, 4649, 266, 10632, 1070, 10529, 17531, 267, 610, 1831, 513, 25398, 26064, 950, 596, 3346, 721, 2221, 256, 0, 12441, 596, 917, 602, 1034, 4558, 11751, 14546, 2270, 6757, 5820, 286, 769, 1249, 267, 1034, 6671, 14546, 4421, 538, 519, 2136, 2276, 616, 535, 636, 580, 730, 609, 5906, 6464, 602, 616, 17049, 538, 2342, 563, 306, 614, 559, 1944, 1975, 1182, 609, 15053, 995, 11906, 338, 543, 24658, 454, 763, 5663, 1184, 585, 1034, 14546, 4421, 538, 3013, 568, 711, 2922, 269, 14992, 946, 513, 10322, 16478, 1184, 602, 3096, 519, 13818, 3114, 2802, 22005, 12547, 269, 1879, 11922, 1205, 13603, 909, 689, 519, 4610, 547, 581, 12015, 267, 789, 616, 2356, 13572, 609, 9044, 267, 9493, 6814, 267, 543, 13596, 269, 901, 568, 1946, 9755, 535, 636, 580, 622, 14546, 609, 5906, 15910, 8328, 6464, 563, 6097, 547, 634, 2136, 2276, 7025, 10466, 10837, 2676, 30999, 1575, 1049, 4598, 547, 2802, 22005, 12547, 5012, 547, 28623, 543, 26679, 269, 853, 6729, 543, 6089, 11871, 723, 849, 1044, 2404, 609, 2802, 22005, 12547, 4598, 563, 7197, 1975, 1182, 29597, 9049, 294, 454, 7197, 14546, 593, 519, 2344, 2221, 2270, 1395, 657, 18754, 22965, 600, 622, 630, 5960, 294, 1040, 9049, 294, 666, 2014, 9761, 6797, 267, 1164, 8501, 267, 4017, 668, 9234, 22468, 267, 8377, 267, 5761, 2860, 267, 1164, 7378, 543, 1973, 4006, 267, 14715, 543, 2634, 1072, 2152, 269, 10251, 267, 621, 779, 2182, 547, 5431, 9049, 294, 607, 621, 666, 581, 1572, 676, 936, 476, 2412, 4408, 269, 769, 1249, 267, 9049, 294, 1281, 711, 2154, 21458, 952, 621, 779, 1031, 607, 513, 4393, 8665, 563, 10287, 803, 593, 1128, 8183, 585, 811, 4388, 1107, 1934, 454, 25369, 27413, 267, 3465, 969, 2510, 267, 543, 10648, 5308, 454, 7197, 4558, 11751, 14546, 666, 849, 2270, 454, 268, 14464, 10366, 543, 4778, 454, 268, 14640, 2275, 1136, 8069, 454, 268, 10648, 302, 13386, 454, 268, 8970, 16755, 454, 16521, 17667, 1975, 1182, 454, 16391, 545, 9755, 798, 711, 535, 636, 580, 622, 519, 11922, 609, 6757, 6464, 269, 1358, 1810, 1406, 2270, 1022, 16220, 9168, 5820, 267, 6445, 619, 267, 5841, 4778, 267, 10366, 610, 29089, 2510, 269, 901, 568, 1018, 594, 946, 1934, 454, 8196, 9454, 592, 2088, 585, 3441, 1852, 543, 19140, 689, 9049, 294, 912, 306, 2869, 592, 2088, 13479, 6411, 607, 1750, 331, 1807, 676, 11006, 609, 5230, 8407, 543, 824, 6757, 6878, 538, 1931, 547, 19140, 1518, 873, 689, 519, 1560, 269, 898, 779, 16041, 609, 6171, 595, 267, 6171, 661, 267, 943, 26338, 30662, 984, 559, 514, 543, 1286, 2632, 839, 267, 782, 540, 799, 948, 609, 19842, 2566, 543, 5230, 4496, 1750, 3175, 269, 1411, 1175, 991, 835, 29537, 513, 1554, 256, 1411, 666, 1265, 5214, 3303, 592, 2088, 1934, 454, 296, 1185, 1100, 2856, 827, 519, 14546, 269, 594, 2648, 547, 3434, 865, 594, 723, 513, 22277, 2407, 540, 873, 269, 594, 723, 513, 11480, 610, 476, 273, 540, 5214, 14546, 855, 519, 5354, 616, 519, 3283, 602, 616, 15464, 803, 454, 2026, 9939, 1131, 723, 621, 267, 594, 5063, 12349, 513, 9126, 540, 9454, 592, 2088, 543, 1265, 1250, 1648, 328, 568, 1454, 1732, 563, 15124, 4062, 267, 8729, 2336, 17098, 8861, 256, 10251, 267, 1034, 1004, 1810, 1406, 8275, 602, 1256, 519, 14546, 666, 581, 6757, 952, 789, 616, 711, 5214, 269, 1656, 9811, 267, 3303, 592, 2088, 568, 519, 1655, 7110, 585, 519, 1034, 2500, 19140, 2336, 1432, 952, 596, 666, 1406, 946, 3303, 592, 2088, 267, 4376, 3116, 594, 666, 946, 7790, 594, 1185, 11178, 2860, 543, 1185, 1250, 11178, 6569, 269, 3733, 7189, 15695, 803, 547, 3251, 2476, 689, 13479, 543, 22752, 269, 594, 2899, 6836, 3303, 592, 2088, 543, 8694, 909, 7210, 2073, 621, 7679, 1229, 609, 1250, 11178, 10682, 1199, 338, 269, 2052, 596, 4363, 606, 4244, 286, 8729, 543, 11289, 596, 585, 782, 519, 1390, 9623, 596, 2022, 267, 1360, 13181, 543, 7494, 15874, 2336, 17098, 18281, 537, 5055, 256, 11289, 596, 865, 1454, 585, 707, 2186, 1913, 256, 5620, 596, 6836, 2921, 10568, 24124, 286, 898, 779, 4625, 15347, 1863, 543, 666, 948, 609, 1022, 1072, 2152, 269, 594, 723, 25300, 574, 9369, 779, 543, 594, 557, 1044, 2921, 621, 585, 3592, 476, 277, 3275, 543, 594, 1745, 1390, 256, 4179, 2517, 331, 1516, 10177, 3431, 32697, 2593, 270, 2041, 2246, 3814, 23073, 5924, 1146, 545, 2914, 17742, 3766, 14993, 1790, 32535, 268, 1626, 268, 9926, 270, 7490, 267, 1577, 803, 917, 952, 596, 723, 1022, 2055, 2336, 296, 723, 670, 20076, 267, 1058, 594, 711, 1491, 9454, 592, 2088, 267, 610, 932, 648, 12848, 286, 3807, 10288, 513, 1804, 666, 630, 12010, 266, 264, 540, 873, 269, 9462, 503, 479, 8729, 269, 590, 826, 563, 296, 1265, 621, 16168, 1250, 2055, 616, 2760, 12943, 267, 1247, 1866, 616, 269, 1772, 972, 1945, 4636, 609, 803, 286, 594, 4444, 707, 2472, 267, 1281, 602, 948, 11631, 286, 9462, 503, 479, 454, 7804, 269, 700, 2562, 6395, 700, 20846, 23859, 5588, 454, 2791, 917, 1018, 4991, 803, 286, 5272, 4757, 689, 596, 1004, 2141, 7475, 609, 596, 9513, 1945, 269, 24439, 803, 1589, 602, 707, 8989, 568, 1175, 513, 6263, 3787, 21678, 547, 1205, 803, 547, 4444, 8726, 621, 568, 596, 616, 17761, 6362, 269, 1215, 827, 1344, 585, 1344, 779, 19160, 269, 1411, 616, 4742, 606, 1102, 9593, 1017, 602, 594, 786, 723, 547, 18419, 4166, 563, 32452, 268, 1360, 678, 8775, 256, 594, 1265, 621, 5363, 547, 917, 519, 12478, 602, 1004, 946, 543, 1141, 547, 4444, 563, 7804, 269, 27692, 269, 9320, 596, 1058, 2119, 2921, 621, 269, 594, 723, 2938, 4986, 855, 1390, 2164, 689, 2921, 10568, 24124, 267, 3303, 592, 2088, 267, 20018, 267, 544, 3147, 320, 269, 594, 6557, 538, 991, 540, 513, 6797, 13003, 269, 3733, 2157, 616, 9363, 11689, 1242, 269, 3733, 8501, 267, 543, 1973, 2604, 616, 5039, 531, 269, 3733, 1560, 568, 6029, 4191, 540, 6454, 269, 594, 6557, 711, 2921, 1973, 2604, 1199, 338, 267, 610, 1199, 338, 540, 1022, 2186, 267, 594, 1745, 519, 19140, 2305, 3232, 269, 670, 14563, 594, 666, 2057, 519, 13003, 15587, 269, 1306, 1279, 607, 713, 8952, 803, 538, 2638, 269, 594, 666, 1406, 6488, 519, 13003, 19037, 269, 594, 1175, 5949, 2390, 713, 3135, 676, 8009, 269, 594, 3494, 1919, 4755, 585, 513, 1808, 2601, 269, 774, 29304, 909, 585, 713, 3135, 563, 17098, 12844, 22448, 256, 11289, 596, 865, 865, 1454, 585, 713, 19015, 269, 22227, 899, 891, 1832, 803, 2469, 256, 594, 2731, 5660, 707, 1489, 2336, 2791, 616, 1360, 10950, 269, 1452, 616, 519, 1655, 2472, 2479, 269, 3807, 14437, 1250, 11078, 883, 3843, 873, 907, 4754, 1406, 7227, 585, 1200, 3210, 269, 594, 1185, 3063, 543, 5795, 1200, 930, 547, 2119, 563, 8245, 2952, 17667, 610, 13571, 1512, 267, 1312, 519, 1482, 2754, 26008, 634, 1152, 6216, 594, 4076, 1044, 9140, 585, 1296, 26008, 1358, 616, 849, 513, 4023, 4123, 2754, 256, 0, 22498, 786, 7866, 1761, 2104, 13941, 4609, 585, 3425, 547, 2132, 547, 519, 9855, 267, 543, 596, 666, 4585, 519, 5618, 532, 693, 6611, 2593, 2221, 630, 20606, 476, 866, 1070, 610, 2661, 593, 519, 2230, 8116, 779, 3896, 563, 22498, 568, 3978, 827, 8744, 3425, 1394, 547, 3047, 519, 7599, 901, 4579, 814, 2907, 5249, 856, 519, 1034, 5078, 13941, 4609, 547, 3077, 3203, 28087, 476, 274, 5692, 538, 476, 1708, 276, 563, 763, 8116, 786, 7866, 922, 11134, 13941, 4609, 538, 5618, 2221, 630, 20606, 476, 866, 264, 693, 476, 273, 533, 6230, 269, 29269, 630, 5197, 271, 10648, 307, 1070, 8331, 1767, 693, 3948, 630, 28926, 839, 538, 513, 1007, 9184, 1040, 8331, 543, 922, 4891, 1544, 547, 2244, 2282, 519, 7599, 779, 5045, 15393, 267, 1141, 1216, 4672, 568, 5156, 547, 581, 538, 18385, 26484, 1835, 11596, 269, 634, 1858, 849, 3091, 4277, 3255, 585, 3621, 3408, 1519, 24666, 7422, 689, 519, 2627, 540, 519, 7599, 563, 16665, 281, 8331, 779, 3203, 28087, 476, 272, 9855, 17030, 281, 14970, 5455, 30098, 454, 2108, 10376, 540, 519, 5697, 2127, 267, 689, 799, 1808, 13941, 4609, 666, 581, 5697, 267, 568, 540, 3621, 1719, 543, 814, 1044, 11117, 1759, 593, 14099, 267, 10618, 543, 8654, 2175, 267, 607, 1134, 607, 519, 2702, 547, 3035, 3621, 3853, 2223, 8331, 1767, 538, 519, 3948, 269, 968, 22498, 786, 4497, 609, 519, 6626, 3621, 2146, 538, 519, 4947, 3275, 547, 1865, 519, 26350, 540, 1142, 1858, 3034, 2252, 596, 8011, 267, 519, 13941, 786, 581, 519, 1101, 942, 2094, 21011, 476, 1704, 5692, 538, 476, 3192, 273, 602, 3425, 786, 1305, 3723, 593, 3047, 779, 18477, 13959, 269, 3203, 28087, 685, 16529, 1982, 6663, 711, 1152, 547, 2322, 519, 1101, 4807, 543, 1101, 1268, 540, 2681, 593, 519, 7599, 267, 855, 849, 547, 3715, 513, 8628, 1480, 4527, 593, 519, 7599, 543, 538, 922, 10739, 563, 763, 1101, 1900, 540, 519, 3203, 28087, 1982, 568, 16516, 547, 1491, 1747, 2663, 713, 3923, 609, 606, 796, 920, 14954, 1449, 8184, 8331, 779, 6611, 32374, 3590, 15177, 6518, 786, 14202, 513, 3758, 2107, 542, 12284, 23555, 1280, 513, 5180, 7552, 547, 519, 7599, 543, 1394, 547, 1449, 513, 3099, 540, 1271, 4066, 269, 1403, 3811, 267, 519, 4305, 267, 1572, 3203, 28087, 476, 272, 2005, 786, 17362, 519, 1259, 585, 519, 1101, 1480, 5180, 7552, 547, 519, 9855, 538, 476, 1708, 275, 543, 519, 7766, 13941, 538, 476, 1708, 276, 563, 22498, 568, 2907, 1305, 6611, 311, 547, 1628, 513, 13941, 1062, 1677, 4163, 20691, 689, 16264, 10739, 547, 519, 16264, 2627, 607, 851, 540, 519, 3203, 28087, 476, 274, 5692, 563, 30952, 538, 519, 8717, 267, 8331, 543, 922, 4891, 630, 28158, 6611, 10837, 267, 8225, 6611, 10837, 267, 543, 3567, 17224, 18209, 16709, 10837, 264, 1544, 547, 3715, 513, 8628, 16264, 28835, 2230, 6728, 267, 1572, 19835, 663, 6368, 513, 3490, 593, 519, 7599, 563, 1103, 519, 2104, 267, 13485, 9370, 898, 949, 1491, 1055, 689, 519, 9855, 2864, 982, 3047, 547, 2569, 519, 1942, 543, 2930, 6988, 540, 891, 31782, 563, 10287, 1855, 25564, 2717, 30198, 13960, 593, 12108, 570, 11548, 7842, 269, 7427, 721, 593, 12108, 570, 11548, 7842, 543, 593, 9365, 563, 2108, 14813, 584, 11868, 569, 18803, 4568, 10178, 1738, 269, 1133, 777, 860, 2045, 14420, 19995, 269, 8890, 560, 1848, 0, 1432, 568, 3961, 543, 922, 2596, 2359, 888, 22261, 476, 1015, 267, 476, 1708, 271, 5788, 476, 11793, 272, 1913, 5788, 476, 276, 8792, 1224, 454, 296, 6557, 7168, 2386, 596, 4076, 2907, 4862, 540, 14740, 543, 7457, 5004, 594, 4456, 4082, 538, 707, 4247, 952, 596, 616, 2324, 607, 606, 11653, 538, 8668, 1646, 2872, 269, 1403, 711, 267, 594, 4126, 596, 786, 693, 519, 1439, 540, 2542, 713, 2376, 269, 30047, 540, 9163, 267, 3755, 267, 2533, 610, 1022, 2186, 540, 6589, 543, 519, 12957, 540, 1644, 4247, 1223, 581, 2808, 607, 513, 4295, 2534, 540, 713, 2361, 563, 1103, 713, 2376, 594, 8910, 899, 547, 1459, 930, 2596, 1620, 540, 9517, 300, 543, 1141, 621, 6763, 538, 2474, 540, 14740, 26291, 543, 10029, 594, 16598, 269, 1411, 666, 1491, 713, 5816, 607, 606, 25644, 1362, 267, 952, 596, 616, 1175, 4358, 538, 713, 2361, 540, 3354, 563, 763, 22225, 540, 6531, 3354, 910, 1141, 568, 594, 4456, 4010, 888, 30208, 3354, 568, 1932, 3376, 540, 513, 2165, 269, 4014, 267, 649, 666, 10199, 7941, 621, 883, 476, 277, 1292, 22225, 269, 8625, 267, 789, 1106, 519, 2898, 1950, 2872, 563, 5804, 519, 4605, 1657, 267, 594, 4456, 1131, 1796, 1318, 593, 519, 14740, 30361, 269, 2353, 22225, 616, 8449, 1271, 267, 1317, 1256, 1510, 835, 540, 873, 267, 649, 8910, 1930, 513, 8559, 585, 513, 21556, 538, 513, 2450, 540, 519, 17645, 8559, 269, 2311, 2547, 782, 2101, 6531, 7426, 3858, 593, 713, 269, 2334, 9275, 267, 14740, 3112, 960, 1510, 1239, 4027, 267, 5989, 3354, 3112, 960, 1510, 19792, 1852, 267, 3092, 563, 3086, 267, 649, 917 ]

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

[ 608, 1529, 335, 2218, 8897, 547, 8508, 713, 968, 9767, 978, 8004, 2223, 4171, 12638, 568, 3592, 607, 10375, 585, 1200, 1082, 25981, 3988, 607, 621, 729, 585, 1200, 30201, 12781, 267, 945, 1336, 796, 28534, 6014, 1453, 4443, 547, 6146, 1055, 982, 519, 20466, 26462, 269, 2991, 782, 267, 606, 14732, 7671, 945, 5030, 1522, 723, 1044, 513, 3787, 13347, 693, 519, 10656, 1004, 945, 267, 2687, 547, 519, 3056, 3069, 267, 5828, 538, 1200, 7622, 543, 4607, 513, 8007, 540, 5111, 1269, 272, 269, 2412, 829, 4035, 269, 1323, 14732, 7671, 945, 5030, 1522, 711, 723, 4941, 547, 2099, 968, 1492, 1453, 540, 519, 1158, 2223, 3226, 2094, 865, 1454, 540, 1200, 19701, 568, 840, 31039, 609, 513, 26525, 5418, 320, 547, 581, 3144, 12517, 23121, 711, 581, 9228, 607, 513, 1126, 269, 4107, 540, 782, 267, 606, 14732, 7671, 945, 5030, 1522, 723, 5143, 1004, 827, 1018, 1352, 4718, 693, 654, 6856, 321, 1251, 267, 26401, 543, 19161, 523, 5174, 1564, 523, 267, 543, 1004, 1522, 711, 723, 17329, 1018, 1352, 1185, 547, 2161, 563, 5445, 1705, 711, 26250, 721, 267, 6862, 1705, 789, 12837, 282, 789, 8604, 31345, 711, 1152, 676, 8296, 855, 676, 513, 11821, 27047, 842, 267, 799, 20177, 741, 17534, 543, 3808, 741, 4064, 547, 519, 1187, 699, 531, 6429, 269, 898, 729, 602, 17847, 649, 6785, 865, 1134, 267, 519, 17847, 602, 546, 27547, 721, 1310, 519, 25926, 267, 543, 1169, 942, 649, 1185, 547, 4585, 267, 610, 10505, 547, 267, 930, 30891, 281, 519, 17847, 519, 16586, 1705, 711, 917, 267, 602, 519, 1175, 812, 2833, 693, 1776, 812, 781, 6760, 282, 519, 4743, 540, 16203, 602, 971, 513, 6760, 1058, 2291, 267, 602, 621, 1058, 723, 1044, 5189, 9048, 22106, 2406, 883, 519, 1158, 540, 1919, 602, 2291, 267, 543, 602, 1010, 786, 585, 1434, 1058, 723, 9863, 1932, 4617, 610, 14275, 267, 543, 1058, 711, 723, 1992, 539, 538, 20237, 563, 5278, 540, 519, 1034, 29200, 10553, 11668, 13122, 3769, 513, 3060, 540, 23658, 10102, 269, 24162, 7304, 4923, 1185, 476, 1911, 23658, 10102, 267, 26401, 1185, 476, 4510, 23658, 10102, 267, 853, 583, 628, 1993, 1185, 476, 2412, 1016, 2275, 10102, 1305, 909, 20314, 1836, 269, 29277, 619, 538, 891, 23658, 10102, 941, 12955, 689, 27781, 267, 15860, 2068, 543, 5758, 4291, 1903, 676, 519, 9937, 540, 5215, 2907, 2094, 519, 4098, 540, 2112, 269, 0, 1432, 4523, 950, 596, 2268, 606, 4346, 286, 1215, 1281, 6482, 1764, 3609, 286, 769, 17578, 731, 558, 540, 2672, 11797, 267, 7276, 540, 11870, 338, 6424, 667, 5535, 20781, 547, 891, 3376, 2055, 676, 3168, 693, 519, 3498, 543, 7096, 4539, 540, 8579, 6482, 547, 519, 32066, 4346, 538, 6576, 267, 689, 519, 22733, 2540, 547, 519, 6406, 2782, 269, 27819, 782, 2090, 540, 6576, 1118, 4704, 547, 519, 2244, 28286, 618, 267, 610, 834, 333, 12818, 2437, 607, 513, 2268, 540, 32066, 8171, 269, 901, 568, 519, 1101, 960, 6313, 519, 8129, 540, 519, 562, 12818, 267, 875, 8579, 6482, 10736, 621, 883, 513, 2413, 1303, 1856, 618, 267, 543, 875, 621, 29600, 519, 1533, 286, 701, 9586, 2078, 269, 8092, 267, 667, 5535, 13187, 267, 729, 1272, 7790, 27998, 2877, 621, 543, 519, 1533, 267, 1034, 3025, 5156, 267, 1185, 606, 17185, 547, 1683, 621, 269, 634, 2243, 267, 2705, 267, 729, 875, 1454, 2244, 729, 2614, 269, 10803, 13859, 519, 2626, 855, 849, 19526, 3609, 24237, 543, 2486, 883, 513, 1880, 1259, 540, 7487, 27998, 543, 741, 4346, 269, 4634, 519, 10504, 781, 3803, 3801, 547, 6963, 519, 32066, 4346, 1310, 476, 5002, 276, 7283, 19526, 1369, 519, 2025, 12512, 7121, 540, 519, 562, 12818, 269, 18926, 6482, 22541, 267, 2864, 982, 18604, 267, 519, 562, 12818, 607, 513, 7121, 540, 32066, 2804, 8171, 971, 602, 621, 30174, 3564, 476, 4489, 278, 883, 519, 2038, 1296, 540, 8168, 1379, 269, 9122, 593, 31150, 2959, 543, 6917, 5646, 15078, 262, 8579, 2090, 267, 17578, 731, 558, 540, 2672, 11797, 267, 7276, 540, 11870, 338, 2982, 875, 519, 1533, 9112, 1312, 606, 3239, 543, 513, 2268, 540, 32066, 8171, 689, 799, 621, 1223, 711, 9101, 267, 543, 875, 519, 25739, 8226, 602, 27998, 941, 13886, 547, 513, 6190, 28286, 618, 2968, 513, 2101, 21677, 547, 3811, 989, 337, 4115, 6963, 563, 347, 21812, 10573, 18250, 294, 650, 268, 20075, 839, 2160, 4964, 2008, 347, 292, 1288, 6609, 10573, 274, 6113, 1196, 8198, 19064, 6055, 7516, 10573, 277, 269, 876, 26028, 264, 1535, 476, 280, 269, 876, 22607, 264, 1535, 476, 272, 269, 1789, 5560, 10245, 10666, 519, 8191, 454, 21837, 654, 269, 667, 5535, 568, 12314, 7548, 540, 1686, 693, 519, 2160, 540, 4303, 2023, 563, 8368, 540, 12937, 454, 288, 8074, 827, 25927, 725, 267, 25927, 3438, 725, 267, 543, 667, 919, 1535, 13839, 454, 7072, 281, 634, 1715, 8092, 2353, 582, 618, 28673, 267, 519, 1715, 26874, 19004, 476, 274, 454, 272, 17553, 519, 2776, 1027, 550, 281, 634, 3557, 540, 2672, 11797, 476, 1240, 454, 273, 5395, 325, 661, 2006, 322, 11692, 281, 5842, 551, 4328, 519, 11870, 539, 715, 12818, 267, 25732, 4706, 2672, 11797, 476, 7918, 454, 274, 16453, 1944, 519, 715, 12818, 543, 3212, 9586, 19004, 281, 3778, 543, 2098, 655, 560, 17383, 10803, 476, 11463, 454, 275, 834, 31863, 257, 5600, 9302, 281, 9483, 4886, 543, 519, 5664, 3212, 9586, 476, 14530, 454, 276, 853, 565, 2988, 514, 781, 654, 4526, 593, 519, 5664, 281, 8092, 11870, 338, 543, 834, 22296, 11797, 257, 476, 13679, 454, 277, 8092, 11870, 338, 607, 4317, 10456, 538, 7169, 267, 6406, 2782, 267, 543, 15332, 476, 20969, 454, 6962, 281, 634, 22684, 540, 5395, 325, 3256, 543, 6431, 14571, 540, 519, 2672, 2310, 715, 12818, 476, 26237, 0, 12218, 2305, 1315, 18780, 454, 13349, 4408, 1923, 14271, 11618, 1923, 18280, 690, 540, 674, 8460, 630, 2102, 1421, 838, 4700, 1923, 594, 2316, 306, 1923, 3213, 299, 1923, 654, 334, 305, 5960, 1923, 1849, 4752, 320, 454, 8002, 514, 641, 6670, 326, 4512, 630, 2001, 1922, 514, 2740, 24991, 264, 3436, 7261, 1440, 514, 16599, 6134, 525, 454, 27562, 643, 592, 1149, 267, 6146, 604, 8460, 543, 2661, 581, 31600, 264, 3436, 681, 643, 592, 13160, 454, 292, 22029, 281, 6491, 839, 281, 3245, 519, 5824, 6491, 839, 267, 2495, 31394, 267, 538, 4704, 547, 519, 3352, 1938, 1417, 2681, 3270, 2059, 24725, 543, 1387, 1710, 13279, 538, 9038, 630, 8269, 269, 476, 279, 7176, 3607, 1916, 5319, 1444, 281, 2113, 24586, 1315, 2916, 7997, 1315, 3178, 2039, 1315, 3892, 2039, 454, 293, 3306, 4248, 282, 536, 5460, 641, 601, 20723, 269, 23427, 454, 21026, 3013, 281, 17897, 531, 561, 6210, 976, 538, 519, 6360, 680, 1622, 540, 519, 2539, 7638, 1372, 5211, 267, 513, 1318, 29815, 776, 540, 519, 1647, 590, 14244, 12770, 5211, 538, 8478, 563, 23917, 1315, 13379, 1315, 6520, 454, 300, 4405, 640, 281, 700, 332, 1109, 286, 1109, 2039, 7790, 910, 7790, 4699, 454, 16655, 3259, 2433, 476, 275, 269, 272, 4699, 20793, 5256, 270, 684, 16303, 539, 282, 630, 8269, 269, 476, 279, 7176, 3607, 994, 300, 6973, 1108, 1923, 5651, 874, 6248, 338, 454, 7809, 12345, 281, 476, 1240, 910, 476, 2537, 3248, 19723, 974, 3630, 324, 281, 476, 3066, 910, 476, 1789, 269, 31692, 1639, 689, 782, 824, 2249, 540, 519, 670, 269, 7657, 3821, 644, 9850, 1895, 267, 4849, 670, 269, 1368, 534, 3711, 328, 267, 676, 2348, 2110, 2083, 14613, 593, 519, 24725, 543, 1387, 27634, 538, 9038, 267, 8757, 18751, 3791, 540, 1309, 644, 531, 1710, 630, 341, 338, 269, 8757, 17911, 851, 540, 1309, 644, 531, 1710, 610, 20546, 532, 922, 17911, 14345, 1070, 543, 689, 782, 1346, 2249, 4849, 670, 269, 7657, 3821, 644, 9850, 676, 2348, 8792, 3109, 9634, 267, 4130, 982, 20194, 267, 593, 519, 8998, 540, 519, 1166, 1678, 543, 17911, 851, 540, 519, 1309, 644, 531, 7895, 684, 2193, 538, 8951, 630, 341, 338, 269, 2141, 3677, 982, 20194, 1040, 634, 1739, 4999, 540, 3197, 666, 581, 3730, 547, 13209, 689, 824, 2818, 540, 519, 1950, 281, 476, 1321, 268, 1428, 15454, 13063, 593, 1166, 1678, 538, 9038, 282, 1560, 3178, 476, 2412, 269, 276, 268, 6246, 269, 271, 260, 20793, 282, 1309, 644, 531, 7895, 684, 2193, 3178, 476, 1428, 269, 278, 268, 1704, 269, 274, 260, 20793, 282, 840, 1673, 832, 531, 3259, 538, 9038, 476, 4366, 269, 272, 268, 7367, 269, 274, 260, 20793, 282, 840, 1790, 601, 17771, 3259, 538, 9038, 476, 5379, 269, 277, 268, 4366, 269, 275, 260, 20793, 282, 24725, 1922, 514, 3490, 538, 9038, 476, 4391, 269, 271, 268, 4375, 269, 274, 260, 20793, 282, 1387, 1922, 514, 3490, 538, 9038, 476, 3374, 269, 280, 268, 4343, 269, 280, 260, 20793, 282, 2212, 8700, 476, 6795, 269, 277, 268, 4792, 269, 280, 260, 540, 2212, 3259, 538, 9038, 267, 476, 6795, 269, 275, 268, 4792, 269, 276, 260, 538, 8951, 282, 543, 3750, 8006, 476, 1839, 269, 273, 268, 2764, 269, 271, 260, 540, 2212, 3259, 630, 8269, 269, 476, 279, 7176, 3607, 1916, 28062, 538, 12119, 561, 6210, 976, 630, 8269, 269, 476, 279, 7176, 3607, 1916, 16908, 4783, 543, 20282, 2623, 454, 300, 4405, 640, 1923, 3115, 3174, 1923, 1975, 27681, 1923, 28096, 1923, 674, 1815, 1495, 640, 1923, 30038, 15611, 454, 21798, 320, 267, 654, 12282, 9950, 8160, 1421, 623, 12171, 269, 2549, 528, 574, 543, 808, 11482, 269, 20917, 657, 267, 476, 1001, 273, 269, 15661, 1642, 574, 2787, 538, 5993, 6146, 604, 8460, 689, 519, 19384, 6970, 908, 320, 267, 519, 14523, 18030, 321, 5362, 7657, 3821, 644, 9850, 1950, 630, 24426, 1440, 514, 6134, 525, 281, 681, 643, 592, 13160, 2567, 6286, 585, 30953, 543, 5726, 269, 3590, 18267, 543, 26085, 476, 1015, 263, 272, 2567, 10170, 268, 11011, 269, 630, 8269, 269, 476, 279, 7176, 3607, 994, 296, 30002, 4414, 5903, 21073, 630, 8269, 269, 476, 15686, 27183, 994, 290, 3951, 2464, 630, 8269, 269, 476, 12893, 280, 6078, 994, 1320, 805, 547, 3425, 454, 13349, 4408, 26239, 11618, 18404, 29440, 303, 1042, 2209, 292, 20799, 16464, 1108, 11847, 3174, 300, 4405, 640, 8967, 27681, 8967, 27681, 30843, 293, 1815, 1495, 640, 292, 1375, 338, 292, 1375, 1646, 454, 27066, 288, 638, 20628, 288, 638, 20628, 9043, 1805, 23230, 7049, 7497, 2704, 548, 548, 12451, 15463, 527, 1464, 291, 1047, 1162, 3682, 22422, 22709, 7503, 454, 15307, 23660, 540, 930, 3601, 1759, 593, 3631, 454, 303, 17222, 21925, 4763, 4994, 630, 8269, 269, 476, 279, 2764, 4962, 454, 284, 476, 271, 269, 4335, 271, 1496, 4462, 21348, 267, 689, 476, 271, 269, 276, 815, 1970, 547, 476, 273, 269, 271, 815, 1164, 14073, 29074, 14198, 3259, 27954, 281, 513, 284, 271, 269, 25171, 4817, 630, 271, 269, 27947, 6187, 910, 476, 271, 269, 271, 6246, 4817, 1070, 536, 284, 274, 269, 4905, 630, 273, 269, 10695, 910, 476, 274, 269, 866, 1070, 538, 4699, 11192, 20099, 267, 1759, 593, 782, 700, 29949, 9193, 585, 713, 1560, 3337, 630, 8269, 269, 476, 280, 3953, 3393, 454, 307, 13116, 5426, 630, 8269, 269, 476, 7597, 273, 4281, 454, 2567, 476, 274, 269, 273, 13008, 271, 269, 275, 694, 282, 9122, 593, 2450, 543, 512, 5268, 338, 540, 14191, 14077, 454, 4910, 559, 1466, 630, 8269, 269, 476, 7597, 273, 4281, 454, 2567, 4400, 267, 5934, 2551, 30945, 942, 1447, 982, 476, 1428, 3275, 630, 7093, 14083, 918, 610, 674, 1815, 1495, 640, 28593, 309, 592, 1676, 1464, 630, 8269, 269, 476, 6795, 272, 7871, 454, 2567, 8899, 13438, 630, 1015, 540, 476, 1911, 264, 1547, 0, 10387, 6160, 2305, 540, 3170, 786, 711, 2049, 538, 519, 9000, 540, 454, 6357, 264, 23925, 20919, 454, 6262, 264, 23925, 23416, 454, 5560, 264, 25524, 10433, 454, 6357, 264, 645, 850, 568, 513, 1216, 344, 3039, 880, 5714, 5627, 23925, 20919, 267, 23925, 23416, 267, 8501, 543, 8485, 30649, 573, 269, 645, 850, 20919, 1404, 606, 1271, 1909, 538, 12536, 540, 9600, 269, 4475, 538, 741, 9000, 900, 6160, 2305, 540, 3170, 3112, 1491, 1747, 269, 0, 2005, 779, 606, 2079, 2203, 540, 513, 645, 297, 307, 269, 3117, 1235, 540, 513, 7008, 540, 1019, 3941, 543, 1699, 2959, 269, 634, 24488, 6724, 616, 2016, 585, 513, 1880, 3926, 269, 25294, 3148, 543, 865, 711, 3730, 630, 517, 922, 1378, 264, 585, 513, 9501, 21201, 2203, 269, 3040, 634 ]

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

[ 0, 763, 2810, 2179, 540, 6075, 543, 824, 1644, 1239, 568, 4543, 3549, 547, 2087, 741, 6075, 1995, 543, 1683, 1732, 6075, 3028, 269, 14992, 616, 27126, 1239, 689, 1585, 5867, 1519, 1514, 2923, 267, 6075, 2078, 2359, 1949, 630, 10135, 300, 1070, 1289, 20743, 267, 3092, 269, 547, 1205, 606, 5813, 883, 741, 5561, 269, 28968, 945, 666, 946, 713, 1239, 547, 17589, 4030, 543, 948, 3549, 1118, 1732, 946, 540, 713, 1239, 616, 538, 3747, 267, 855, 616, 538, 8650, 17732, 563, 1607, 2488, 606, 4316, 585, 10509, 4648, 607, 1134, 607, 14987, 547, 1376, 513, 4876, 538, 8262, 4578, 269, 1656, 609, 29988, 23269, 543, 15792, 2208, 3255, 267, 8262, 4578, 4876, 568, 513, 1100, 1532, 1778, 518, 3903, 585, 20021, 3168, 547, 7832, 593, 513, 10509, 4876, 563, 1432, 568, 8262, 4578, 888, 306, 22066, 543, 11636, 3906, 723, 16941, 593, 1239, 585, 3375, 1818, 585, 513, 1279, 942, 269, 1717, 267, 538, 519, 2250, 1906, 1296, 267, 519, 2179, 540, 1239, 6383, 676, 3906, 814, 1044, 796, 19960, 514, 2406, 5458, 1813, 547, 519, 21774, 540, 519, 4950, 543, 5985, 6049, 538, 3232, 1272, 269, 901, 3340, 3549, 547, 16491, 2933, 609, 1239, 1949, 602, 666, 3950, 1169, 6075, 2534, 543, 2594, 873, 267, 11423, 1949, 609, 4620, 17879, 5052, 540, 1239, 563, 16391, 3074, 616, 1210, 7856, 4859, 1949, 547, 4558, 713, 1239, 269, 1306, 519, 1297, 540, 1239, 4679, 267, 3549, 666, 1039, 1007, 6106, 540, 1949, 269, 901, 2636, 873, 8112, 543, 519, 8897, 547, 4336, 741, 4238, 269, 30551, 1949, 666, 2417, 7500, 593, 7856, 1949, 543, 7520, 6252, 4393, 269, 769, 2241, 1913, 267, 8262, 4578, 568, 513, 2594, 540, 6075, 2238, 602, 2154, 7856, 4859, 543, 6252, 4393, 563, 19136, 4578, 2029, 454, 2026, 513, 8262, 4578, 3318, 267, 596, 616, 4397, 547, 1451, 513, 13708, 583, 540, 4066, 269, 3371, 616, 930, 10850, 596, 616, 4397, 547, 917, 269, 901, 568, 711, 513, 1279, 1592, 267, 865, 1745, 1863, 547, 1039, 824, 2645, 543, 4066, 563, 19136, 4578, 15753, 3311, 454, 272, 269, 28833, 670, 5964, 641, 1107, 901, 568, 513, 1455, 5943, 585, 6252, 1239, 4393, 543, 7856, 1239, 4859, 563, 273, 269, 28833, 27910, 1107, 901, 568, 1776, 6252, 1239, 4393, 5943, 454, 274, 269, 28833, 918, 2378, 6390, 1107, 901, 568, 513, 6908, 4393, 5943, 454, 275, 269, 28833, 18706, 18588, 1107, 901, 568, 513, 7856, 3143, 21415, 6538, 2359, 1062, 563, 22998, 609, 8262, 4578, 3340, 1702, 540, 513, 1906, 5752, 4654, 2443, 454, 22998, 609, 8262, 4578, 3340, 1702, 540, 5752, 269, 1306, 513, 19444, 538, 8262, 4578, 267, 596, 616, 4397, 547, 1174, 519, 3017, 1851, 5752, 26336, 2443, 3616, 541, 894, 267, 16122, 5752, 267, 543, 10934, 21079, 26336, 563, 268, 14087, 894, 5752, 1107, 901, 568, 519, 1935, 1141, 12981, 1058, 581, 1459, 547, 1689, 922, 1533, 269, 7982, 754, 5752, 568, 513, 3119, 1383, 540, 713, 1935, 269, 10084, 267, 5124, 543, 824, 1394, 754, 5752, 4654, 946, 713, 1935, 563, 268, 13207, 541, 894, 5752, 1107, 901, 568, 519, 1935, 1141, 4247, 616, 10294, 609, 519, 4397, 3977, 269, 901, 1935, 568, 1455, 538, 5752, 4654, 899, 14069, 563, 268, 10934, 21079, 17565, 1107, 901, 2636, 6252, 4393, 540, 7856, 1239, 269, 4635, 713, 1935, 6087, 1239, 19003, 267, 18570, 267, 9936, 1436, 267, 543, 9034, 1436, 540, 954, 574, 2164, 1210, 2569, 1599, 563, 19136, 4578, 6009, 454, 19136, 4578, 568, 606, 30140, 1804, 2361, 609, 513, 30162, 540, 2816, 3681, 269, 15019, 5107, 538, 713, 2361, 1331, 2443, 454, 272, 269, 4578, 8890, 7370, 1107, 901, 606, 7127, 7400, 1909, 602, 3340, 3946, 6823, 1995, 593, 519, 2645, 5018, 1657, 269, 16200, 6310, 543, 10763, 19038, 3363, 568, 2838, 585, 713, 1909, 563, 273, 269, 4578, 12207, 1107, 1452, 616, 519, 1034, 8179, 4648, 269, 1358, 2154, 2178, 1966, 9010, 1983, 543, 538, 3829, 1702, 540, 12642, 267, 3684, 1565, 267, 543, 811, 563, 268, 4578, 11629, 338, 1107, 1452, 616, 16413, 540, 1239, 5989, 543, 1413, 1310, 12240, 543, 2327, 789, 616, 10512, 693, 782, 2053, 543, 8639, 4309, 1239, 607, 543, 950, 2838, 563, 268, 18482, 9946, 1107, 1358, 10891, 543, 2226, 12240, 540, 3906, 269, 21093, 3323, 538, 513, 8262, 4578, 19396, 454, 20779, 663, 585, 8262, 4578, 4648, 538, 519, 2872, 814, 1044, 7683, 3395, 267, 3056, 547, 606, 2333, 538, 2228, 6030, 543, 2462, 1239, 24501, 5001, 269, 2368, 6030, 2709, 513, 1259, 547, 2736, 883, 519, 2872, 585, 4195, 20021, 267, 1866, 2709, 513, 10375, 543, 8465, 1259, 547, 1451, 693, 1753, 585, 19023, 10509, 4648, 543, 5912, 547, 513, 8262, 4578, 4876, 563, 1103, 513, 2428, 9917, 961, 267, 8262, 4578, 24501, 616, 2139, 585, 4896, 945, 568, 14971, 547, 1118, 513, 5912, 269, 1403, 596, 2461, 2907, 538, 513, 8262, 4578, 4876, 267, 1283, 8262, 4578, 24501, 786, 1039, 811, 1871, 547, 707, 1995, 269, 2368, 2442, 24501, 538, 519, 8262, 4578, 2872, 1331, 667, 3008, 7563, 267, 1849, 537, 1457, 320, 267, 667, 749, 661, 10157, 267, 1851, 1866, 563, 12234, 267, 585, 4195, 20021, 13197, 513, 4487, 779, 1982, 693, 9945, 568, 513, 1434, 1900, 269, 9457, 779, 3292, 4043, 547, 581, 1279, 543, 666, 1491, 909, 547, 476, 273, 1296, 547, 9096, 269, 589, 1906, 9945, 723, 849, 2097, 909, 609, 513, 20277, 779, 1982, 538, 8262, 4578, 267, 3168, 693, 519, 17732, 540, 8262, 4578, 4648, 563, 19136, 4578, 11678, 616, 14785, 538, 2474, 540, 14057, 543, 3255, 5001, 269, 1306, 519, 2361, 568, 1631, 16565, 519, 1318, 1305, 540, 1983, 543, 3407, 22754, 585, 8810, 6791, 2337, 547, 1847, 6619, 538, 519, 4876, 269, 0, 1692, 1279, 1223, 596, 1832, 513, 5728, 286, 590, 4869, 344, 1296, 888, 1607, 568, 513, 3020, 1650, 827, 513, 8370, 4458, 6040, 8004, 3957, 25845, 26186, 603, 338, 945, 4718, 4023, 625, 910, 6263, 2367, 267, 21039, 782, 538, 3039, 910, 676, 519, 1216, 6420, 3297, 1200, 2777, 538, 4789, 269, 6764, 6372, 267, 596, 2161, 286, 2334, 779, 1175, 1018, 1200, 3237, 1767, 269, 1809, 25845, 779, 19939, 4458, 6040, 23013, 661, 3149, 773, 19159, 4941, 547, 6961, 25845, 779, 1650, 269, 2701, 13556, 1957, 4023, 625, 543, 13227, 1117, 873, 269, 3973, 1352, 3576, 6337, 6029, 519, 6690, 15025, 609, 519, 546, 664, 1399, 13617, 539, 7068, 538, 519, 14860, 3297, 661, 3149, 773, 779, 2777, 269, 769, 519, 2395, 950, 10344, 729, 606, 10867, 2029, 543, 1279, 1354, 972, 729, 26598, 267, 661, 3149, 773, 3812, 930, 1360, 20310, 11147, 563, 763, 6690, 2760, 5921, 547, 18174, 519, 1158, 267, 855, 4166, 661, 3149, 773, 779, 11147, 8593, 883, 519, 3946, 540, 11184, 14880, 1230, 534, 667, 1195, 548, 267, 17082, 540, 519, 1158, 779, 1034, 4583, 19792, 267, 15593, 6674, 29385, 269, 11184, 14880, 267, 899, 25845, 267, 5156, 538, 4023, 625, 267, 543, 538, 476, 4572, 271, 646, 3370, 519, 11147, 538, 519, 4922, 268, 1224, 853, 8681, 12139, 543, 5206, 602, 646, 5156, 789, 941, 598, 5477, 6169, 540, 519, 6228, 540, 4023, 625, 269, 2991, 4966, 10294, 519, 5961, 9758, 543, 667, 1195, 548, 779, 2376, 7902, 267, 2621, 4166, 3303, 4705, 856, 540, 1852, 543, 3366, 547, 513, 7242, 602, 16768, 811, 982, 476, 2568, 1296, 454, 27746, 700, 3837, 6799, 519, 6678, 337, 16226, 3020, 1650, 540, 713, 11876, 1314, 538, 513, 535, 4545, 3814, 267, 2143, 2239, 5312, 1782, 875, 519, 3510, 15583, 730, 543, 267, 607, 942, 4682, 593, 267, 875, 811, 1004, 2968, 13948, 543, 20019, 16539, 267, 1818, 621, 7543, 585, 519, 6690, 547, 2097, 2973, 269, 700, 3837, 14425, 10385, 593, 519, 10419, 21116, 607, 1134, 607, 741, 3841, 592, 748, 1857, 563, 763, 1433, 2882, 10063, 2388, 540, 519, 18912, 6337, 267, 3850, 3988, 547, 1294, 4010, 1018, 1004, 693, 519, 942, 4718, 267, 2059, 609, 5892, 10002, 21242, 12400, 543, 2592, 689, 519, 1920, 779, 21517, 269, 901, 7415, 3020, 1650, 3091, 513, 4241, 6514, 540, 1480, 2470, 267, 13031, 938, 10419, 783, 22906, 609, 519, 16750, 543, 6029, 875, 1256, 10995, 267, 7986, 1004, 899, 11184, 14880, 1230, 534, 667, 1195, 548, 666, 22426, 513, 2178, 7287, 547, 3494, 538, 519, 31305, 543, 1577, 2933, 581, 18174, 539, 269, 700, 3837, 6770, 12667, 569, 547, 1272, 835, 540, 6574, 11876, 31320, 540, 782, 942, 267, 835, 602, 30347, 623, 11053, 269, 4446, 11133, 779, 13927, 329, 2465, 544, 1069, 4660, 543, 2107, 5459, 4270, 525, 779, 2782, 540, 519, 2622, 338, 19343, 13739, 563, 18800, 539, 676, 2433, 590, 592, 569, 454, 763, 6996, 2433, 17628, 299, 13263, 269, 674, 9590, 6020, 2464, 269, 590, 16810, 2207, 2793, 307, 7838, 3201, 563, 31304, 23154, 22743, 12717, 14408, 2839, 454, 268, 634, 7415, 267, 3020, 1650, 540, 513, 18912, 11876, 1314, 6707, 10419, 3603, 676, 1079, 1762, 6690, 538, 519, 2038, 476, 5002, 271, 338, 3091, 513, 4241, 6514, 540, 1480, 2470, 563, 268, 1323, 10578, 19214, 883, 513, 8666, 1673, 24934, 1681, 29317, 1134, 1354, 519, 4417, 540, 26598, 563, 9281, 9358, 700, 10976, 292, 24199, 21398, 10498, 267, 8946, 2894, 13138, 312, 912, 306, 2559, 10045, 267, 14472, 531, 2106, 269, 654, 9662, 281, 634, 25999, 6936, 26626, 540, 28155, 538, 30561, 269, 2817, 22127, 5753, 267, 476, 1001, 272, 563, 10111, 14752, 267, 4432, 13453, 269, 10552, 593, 519, 5211, 281, 6276, 16011, 476, 8182, 278, 269, 25655, 19565, 267, 476, 1220, 277, 269, 0, 2704, 32039, 2670, 1323, 1271, 3959, 540, 1973, 568, 922, 4110, 540, 23639, 610, 30175, 6541, 269, 634, 23639, 610, 30175, 6541, 540, 1022, 3070, 267, 1519, 1973, 267, 568, 8612, 593, 519, 9063, 4336, 563, 10907, 1749, 9243, 1125, 13279, 538, 513, 9243, 1436, 5114, 269, 589, 6070, 568, 1022, 25617, 7623, 602, 1223, 581, 1500, 609, 519, 606, 542, 540, 606, 3679, 543, 519, 524, 566, 540, 513, 3490, 269, 634, 7250, 9357, 540, 519, 3679, 543, 519, 28355, 9357, 540, 519, 3490, 26595, 547, 1106, 1216, 563, 10907, 1749, 30599, 1372, 3742, 8407, 269, 3600, 1749, 2490, 4544, 1396, 16443, 547, 2699, 269, 22175, 16443, 568, 835, 540, 513, 1804, 1297, 540, 5214, 7135, 602, 1689, 4778, 950, 513, 3070, 2242, 23639, 693, 513, 1880, 1448, 563, 299, 527, 16443, 568, 519, 9510, 1634, 9063, 13525, 269, 898, 568, 2699, 538, 3679, 543, 4544, 538, 3490, 563, 299, 527, 16443, 1281, 711, 1689, 2681, 4010, 693, 519, 9243, 1448, 1063, 3679, 543, 3490, 267, 855, 1360, 2673, 547, 621, 269, 28397, 17064, 571, 583, 568, 11877, 22648, 267, 22648, 12873, 538, 922, 1378, 25496, 561, 12519, 3679, 563, 7212, 512, 8463, 7181, 3679, 568, 711, 16990, 267, 621, 814, 519, 11877, 6492, 540, 3679, 269, 3600, 2045, 3679, 568, 519, 3679, 12146, 538, 16693, 269, 13022, 6350, 5613, 971, 607, 19790, 976, 267, 18812, 26258, 267, 24453, 267, 543, 561, 1307, 723, 3632, 878, 3679, 538, 519, 10433, 563, 306, 712, 5144, 267, 11877, 8645, 267, 18506, 267, 737, 574, 14024, 267, 543, 32119, 10381, 723, 561, 12519, 3679, 689, 519, 18829, 540, 519, 4006, 26178, 269, 16544, 2986, 645, 1162, 645, 1162, 5305, 513, 28355, 9357, 883, 1216, 3070, 563, 289, 1162, 9243, 1125, 7408, 538, 513, 9243, 1436, 5114, 269, 634, 2262, 910, 5114, 568, 281, 18729, 7132, 3490, 2306, 1216, 7132, 513, 6070, 563, 1607, 6589, 585, 519, 834, 16435, 2089, 2044, 257, 4743, 593, 3946, 950, 6534, 547, 3490, 269, 16200, 13279, 602, 23271, 538, 1216, 1134, 267, 971, 607, 9770, 610, 11379, 561, 6614, 616, 1360, 5906, 1317, 513, 1390, 2179, 540, 519, 7293, 1570, 540, 1480, 7919, 568, 1500, 540, 3940, 269, 5395, 1190, 3441, 547, 17145, 666, 581, 14284, 676, 6297, 946, 540, 2178, 13279, 563, 289, 1162, 2490, 2699, 1396, 16443, 547, 4544, 269, 29619, 540, 3600, 1749, 1299, 645, 1162, 3848, 11929, 27491, 269, 7994, 707, 4267, 547, 519, 2055, 543, 4945, 1412, 9202, 262, 547, 1294, 519, 1985, 1305, 540, 2055, 269, 1411, 666, 18178, 2055, 952, 596, 1131, 899, 543, 2097, 1394, 269, 634, 11066, 3069, 540, 7408, 543, 13279, 2829, 602, 7408, 957, 607, 6475, 6292, 3398, 832, 543, 13279, 957, 607, 6475, 6292, 22881, 563, 1607, 4214, 3085, 1405, 2446, 4376, 827, 519, 7250, 11046, 693, 1547, 2353, 6168, 26678, 3600, 1749, 543, 645, 1162, 269, 1635, 24138, 12448, 338, 269, 9523, 269, 2334, 949 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2094, 519, 1843, 568, 3478, 1100, 6251, 547, 713, 3844, 1448, 2094, 519, 8953, 722, 490, 337, 587, 490, 568, 6378, 269, 6056, 540, 1298, 686, 7065, 531, 10231, 607, 513, 1863, 1922, 718, 538, 799, 972, 568, 1100, 8594, 540, 519, 1843, 18644, 519, 2666, 267, 1317, 519, 3196, 5373, 519, 1843, 4724, 621, 630, 17141, 8904, 264, 568, 4010, 15558, 676, 519, 8126, 1113, 630, 15035, 264, 10231, 4330, 676, 519, 1101, 3830, 538, 713, 3296, 269, 1403, 722, 490, 659, 587, 490, 941, 711, 3160, 547, 722, 490, 320, 587, 490, 267, 519, 1843, 1131, 2901, 8038, 1055, 883, 2230, 610, 4166, 16154, 883, 519, 1647, 540, 519, 5858, 780, 1012, 13565, 10829, 885, 543, 25285, 692, 7212, 16070, 6991, 568, 2356, 6829, 267, 607, 7074, 267, 538, 32494, 829, 2034, 267, 972, 949, 581, 8320, 538, 799, 621, 568, 30074, 610, 2556, 547, 946, 5232, 829, 2034, 3079, 267, 610, 598, 14287, 267, 547, 6460, 689, 5232, 547, 32494, 1354, 6061, 513, 1966, 780, 306, 599, 596, 941, 5143, 602, 513, 1769, 2707, 29226, 998, 476, 3445, 4113, 1169, 2034, 693, 513, 3586, 6991, 269, 1548, 568, 922, 16070, 6991, 538, 32494, 2496, 5575, 267, 3314, 602, 476, 273, 11027, 32494, 815, 476, 11740, 4113, 267, 543, 1305, 909, 513, 8167, 1384, 21702, 346, 11740, 2410, 273, 19570, 18098, 2765, 346, 3445, 7346, 18652, 4153, 574, 18680, 476, 11740, 315, 18652, 815, 5197, 19570, 315, 574, 18680, 1422, 18652, 31386, 2765, 3189, 7032, 2410, 273, 10926, 2252, 596, 941, 2417, 5143, 602, 519, 1769, 11237, 814, 513, 2039, 540, 476, 1015, 7397, 267, 1018, 1131, 581, 519, 9133, 540, 519, 11237, 781, 5276, 6991, 722, 490, 341, 587, 490, 267, 922, 16070, 10231, 722, 490, 10382, 587, 490, 543, 922, 1298, 686, 7065, 531, 10231, 722, 490, 659, 587, 490, 2496, 2414, 4194, 585, 722, 490, 341, 587, 490, 267, 689, 1657, 267, 642, 815, 28911, 337, 267, 1141, 28911, 815, 12631, 270, 273, 543, 678, 815, 476, 1015, 332, 1384, 21702, 3189, 7032, 2410, 273, 348, 476, 1015, 284, 1428, 269, 278, 20728, 346, 544, 4882, 10926, 2414, 1265, 722, 490, 10382, 587, 490, 267, 8263, 519, 16070, 3432, 568, 6603, 538, 476, 272, 2034, 267, 1287, 1384, 263, 9616, 602, 713, 1152, 1568, 585, 2042, 538, 799, 519, 16070, 6991, 568, 3586, 24355, 7661, 267, 849, 689, 1657, 10484, 320, 6831, 7807, 2765, 28452, 317, 273, 2410, 337, 18098, 2765, 346, 1428, 269, 278, 317, 273, 2410, 1015, 13157, 2190, 269, 4792, 20728, 346, 544, 4882, 11892, 273, 692, 1012, 4911, 983, 20653, 6290, 5288, 269, 12430, 20653, 6290, 692, 19465, 593, 519, 3105, 1966, 267, 4952, 3054, 593, 513, 1360, 1804, 5789, 787, 30559, 15778, 267, 835, 609, 606, 12691, 8953, 540, 476, 1015, 12919, 630, 1015, 267, 1822, 7397, 1040, 901, 5789, 787, 30559, 15778, 2306, 835, 2347, 4838, 1169, 476, 272, 8792, 543, 476, 2412, 7643, 267, 610, 1169, 476, 1911, 7643, 780, 3080, 12343, 540, 519, 3017, 1063, 16070, 6991, 267, 799, 568, 4830, 540, 519, 3845, 689, 519, 7852, 540, 10047, 267, 543, 5276, 9764, 6991, 267, 799, 568, 711, 267, 568, 602, 1079, 1004, 7680, 519, 1482, 722, 490, 22886, 587, 490, 949, 581, 18460, 27723, 1114, 2168, 2833, 269, 1403, 596, 4755, 547, 581, 476, 272, 11281, 689, 519, 4099, 952, 713, 2322, 894, 267, 7372, 5789, 787, 30559, 15778, 267, 707, 5276, 630, 339, 836, 1113, 264, 6991, 568, 1384, 341, 7807, 18652, 678, 815, 1422, 2765, 346, 273, 19570, 2410, 1911, 12917, 272, 6661, 271, 269, 6187, 273, 279, 20728, 346, 544, 4882, 10926, 528, 476, 277, 269, 3066, 4699, 630, 1652, 982, 476, 274, 6279, 264, 829, 2034, 780, 3719, 952, 596, 2811, 593, 519, 26079, 540, 713, 20599, 267, 707, 5276, 6991, 568, 1384, 341, 7807, 18652, 678, 815, 1422, 2765, 346, 273, 19570, 2410, 1911, 12917, 1911, 876, 6661, 277, 2764, 20728, 346, 544, 4882, 10926, 6546, 781, 827, 476, 272, 267, 32076, 5195, 829, 5662, 267, 5488, 982, 513, 16886, 269, 670, 836, 593, 256, 315, 692, 1012, 4911, 983, 28850, 636, 692, 17951, 983, 11610, 267, 700, 267, 568, 1759, 2390, 519, 4090, 540, 24880, 543, 519, 16070, 6991, 2016, 538, 519, 3830, 630, 10193, 1644, 547, 2527, 267, 8953, 267, 543, 6991, 17107, 299, 815, 594, 1422, 18652, 815, 678, 332, 341, 692, 763, 4099, 540, 2527, 4249, 513, 2565, 1909, 538, 10747, 16070, 11610, 998, 519, 4090, 540, 24880, 267, 543, 519, 4099, 540, 10047, 849, 5222, 713, 7274, 267, 607, 519, 8953, 1223, 581, 4657, 609, 2463, 547, 10047, 5086, 780, 291, 2632, 3619, 2439, 2171, 5620, 2859, 4279, 2233, 9760, 15080, 256, 0, 297, 2794, 547, 513, 1715, 3848, 7072, 763, 2598, 23002, 540, 2598, 23002, 306, 2969, 11150, 763, 20389, 9608, 21541, 518, 25603, 519, 5675, 8791, 6826, 520, 519, 4828, 6826, 520, 25947, 29941, 6826, 520, 17291, 22054, 8210, 5558, 6826, 520, 25947, 24225, 338, 25603, 519, 11879, 7335, 3296, 6826, 520, 22054, 7388, 339, 687, 20091, 10426, 1137, 281, 634, 7043, 543, 10374, 540, 898, 763, 7043, 540, 898, 763, 10374, 540, 898, 306, 2969, 18500, 25603, 519, 4569, 8791, 6826, 520, 13038, 16644, 4069, 543, 25373, 268, 11900, 301, 13246, 543, 15051, 31580, 10481, 5852, 10574, 267, 10803, 267, 543, 17438, 454, 476, 1704, 269, 272, 13038, 16644, 4069, 5999, 692, 476, 1704, 269, 273, 25373, 268, 11900, 454, 21296, 16644, 4069, 5999, 454, 10157, 6763, 585, 782, 5686, 540, 1919, 269, 681, 1952, 619, 269, 16359, 31260, 269, 9457, 540, 18428, 269, 4634, 3057, 11672, 5516, 344, 269, 2201, 519, 1007, 20389, 267, 14330, 1797, 1434, 2025, 2789, 31547, 2055, 281, 513, 2243, 267, 6148, 513, 3113, 610, 513, 12166, 4137, 267, 543, 1287, 2947, 2626, 5079, 269, 6168, 476, 3583, 2600, 540, 519, 3003, 20389, 4569, 5161, 540, 891, 2370, 9002, 269, 5700, 875, 547, 6023, 11313, 655, 267, 543, 596, 3580, 581, 11493, 1169, 14330, 593, 519, 3625, 2097, 1449, 1554, 563, 2690, 1169, 2979, 2789, 31547, 2243, 593, 519, 1449, 267, 596, 723, 1079, 3681, 912, 1892, 16534, 519, 1966, 2047, 563, 1892, 2422, 519, 1184, 540, 17594, 563, 1103, 2489, 267, 6061, 519, 1966, 568, 5488, 982, 2469, 998, 519, 2626, 5079, 1210, 1184, 540, 17594, 269, 4746, 267, 538, 2489, 267, 952, 596, 2461, 693, 782, 13943, 609, 519, 1888, 267, 621, 666, 581, 6225, 547, 2119, 547, 9004, 4267, 3079, 540, 1175, 6061, 519, 2243, 563, 306, 6295, 519, 9046, 454, 306, 6295, 513, 1966, 2047, 568, 7168, 3551, 607, 1279, 607, 596, 1745, 6899, 609, 519, 2979, 1373, 7318, 269, 898, 779, 513, 1079, 9912, 1184, 563, 272, 269, 3367, 519, 2243, 267, 855, 1810, 1406, 1413, 693, 519, 4267, 269, 3115, 15590, 848, 519, 2243, 547, 1118, 2386, 596, 1174, 621, 267, 543, 28433, 513, 1544, 547, 4194, 621, 563, 273, 269, 16534, 519, 1966, 269, 4495, 596, 723, 606, 2626, 2443, 663, 1152, 1287, 1765, 1294, 952, 707, 2626, 568, 7396, 1851, 519, 2626, 5079, 269, 1635, 7996, 547, 1413, 693, 519, 2626, 5079, 2394, 1310, 596, 4076, 12193, 519, 1966, 267, 596, 840, 3319, 1346, 562, 7360, 20389, 20637, 563, 2171, 666, 1406, 2566, 2614, 602, 952, 596, 2461, 3843, 547, 4194, 519, 1966, 2047, 267, 596, 1058, 2057, 3168, 693, 519, 2626, 5079, 2394, 519, 1439, 269, 4595, 15972, 4267, 616, 1419, 519, 2418, 596, 1131, 1205, 693, 519, 28870, 1448, 540, 519, 1184, 540, 2324, 856, 513, 1966, 267, 952, 596, 32708, 693, 519, 4267, 267, 596, 949, 1205, 8945, 539, 883, 3206, 596, 4076, 12193, 519, 2243, 1354, 596, 2965, 723, 563, 763, 6713, 540, 26332, 1588, 454, 4002, 1169, 2789, 31547, 2243, 267, 519, 2626, 568, 1318, 538, 4395, 540, 596, 269, 898, 779, 1175, 6456, 1851, 1346, 2947, 2626, 5079, 269, 901, 1797, 596, 666, 3006, 2110, 5547, 519, 1966, 676, 726, 19982, 1142, 2626, 883, 519, 2243, 547, 1294, 799, 835, 1568, 269, 2201, 1978, 14026, 267, 2324, 18807, 1223, 2965, 581, 513, 5488, 1505, 982, 1175, 6061, 519, 1966, 2047, 563, 302, 10798, 267, 1383, 942, 912, 589, 4928, 3568, 476, 4029, 23107, 267, 930, 799, 723, 7916, 543, 930, 540, 799, 798, 711, 269, 1403, 519, 4055, 3568, 476, 276, 811, 6186, 577, 4202, 982, 23107, 1510, 7916, 267, 875, 1082, 6186, 577, 4202, 1281, 621, 2270, 286, 630, 288, 264, 476, 1015, 630, 289, 264, 476, 1724, 630, 290, 264, 476, 1626, 630, 291, 264, 476, 1240, 630, 292, 264, 476, 2641, 454, 2252, 596, 1616, 547, 4194, 519, 1966, 2047, 267, 596, 1101, 723, 547, 3651, 4632, 912, 13707, 1297, 540, 23107, 815, 476, 4029, 454, 1301, 577, 4202, 815, 1535, 454, 577, 4202, 1510, 7916, 815, 586, 454, 9202, 267, 1491, 891, 4632, 543, 14377, 873, 883, 606, 3830, 1759, 593, 519, 1344, 538, 519, 2243, 912, 4029, 815, 1535, 1341, 586, 454, 344, 815, 1535, 1107, 476, 276, 454, 10190, 12990, 835, 3830, 883, 519, 824, 912, 2467, 596, 616, 609, 519, 1318, 2626, 267, 855, 621, 3576, 513, 3787, 540, 942, 563, 1432, 952, 596, 726, 28289, 538, 519, 4267, 3079, 286, 1656, 1018, 952, 596, 726, 28289, 538, 4111, 1836, 267, 2495, 281, 3689, 11690, 538, 519, 1871, 595, 563, 7712, 2626, 5079, 593, 519, 20389, 4569, 2141, 2901, 10841, 754, 610, 13956, 538, 1871, 267, 4358, 609, 519, 1647, 1871, 1797, 602, 596, 3580, 2760, 723, 547, 979, 998, 782, 2947, 5079, 269, 1280, 3236, 267, 538, 713, 2243, 267, 952, 596, 11690, 538, 595, 630, 1626, 264, 543, 3605, 602, 621, 779, 1932, 1507, 513, 1297, 547, 14183, 519, 3830, 267, 596, 666, 9004, 589, 543, 645, 2059, 609, 595, 269, 1403, 476, 1626, 568, 1932, 2462, 267, 596, 666, 9004, 667, 543, 661, 2059, 609, 595, 563, 3383, 1577, 779, 11690, 538, 476, 1626, 543, 1294, 1018, 4523, 912, 1892, 634, 2243, 3081, 602, 972, 616, 476, 276, 7864, 6186, 1652, 23107, 982, 6186, 577, 4202, 267, 865, 952, 596, 723, 476, 1626, 6186, 577, 4202, 267, 1287, 596, 723, 476, 1556, 6186, 1652, 23107, 267, 585, 513, 2698, 540, 476, 2767, 23107, 563, 1892, 4595, 596, 991, 519, 2698, 2338, 540, 23107, 547, 3160, 476, 4029, 267, 595, 568, 5693, 711, 519, 1318, 2626, 269, 1809, 1317, 519, 2698, 1297, 540, 23107, 729, 1932, 1507, 267, 596, 666, 849, 9004, 589, 543, 645, 267, 519, 2626, 5079, 10834, 7864, 2338, 540, 6186, 577, 4202, 563, 1892, 1403, 596, 1287, 11690, 538, 667, 630, 1240, 1070, 596, 723, 476, 1724, 3339, 23107, 543, 476, 4029, 2698, 23107, 269, 1703, 779, 707, 2626, 269, 769, 713, 3236, 267, 726, 19982, 538, 519, 4267, 3217, 1447, 942, 543, 4667, 4443, 563, 2026, 596, 1491, 2259, 4255, 267, 596, 3580, 991, 547, 1628, 909, 513, 2631, 540, 950, 2324, 23651, 666, 948, 596, 1034, 269, 1809, 1934, 779, 513, 2656, 798, 543, 1810, 1406, 5758, 547, 948, 596, 2059, 912, 1892, 11298, 960, 18807, 950, 519, 2243, 6257, 606, 3830, 540, 930, 4990, 543, 519, 2626, 5079, 616, 782, 2864, 2241, 2338, 563, 1892, 667, 2177, 685, 307, 960, 18807, 950, 7231, 609, 2626, 5079, 602, 2270, 4632, 610, 7294, 8454, 563, 30180, 547, 513, 1715, 3848, 7072, 763, 2598, 23002, 540, 2598, 23002, 306, 2969, 11150, 763, 20389, 9608, 21541, 518, 25603, 519, 5675, 8791, 6826, 520, 519, 4828, 6826, 520, 25947, 29941, 6826, 520, 17291, 22054, 8210, 5558, 6826, 520, 25947, 24225, 338, 25603, 519, 11879, 7335, 3296, 6826, 520, 22054, 7388, 339, 687, 20091, 10426, 1137, 281, 634, 7043, 543, 10374, 540, 898, 763, 7043, 540, 898, 763, 10374, 540, 898, 306, 2969, 18500, 25603, 519, 4569, 8791, 6826, 520, 13038, 16644, 4069, 543, 25373, 268, 11900, 301, 13246, 543, 15051, 31580, 10481, 5852, 10574, 267, 10803, 267, 543, 17438, 454, 14818, 16721, 15544, 454, 1715, 20389, 4530, 4741, 22387, 20389, 454, 306, 2969, 15642, 629, 26358, 454, 681, 1511, 1715, 2622, 590, 5861, 6993, 8160, 269, 590, 17977, 645, 755, 539, 10361, 3683, 1261, 1564, 454, 306, 2969, 5295, 570, 716, 923, 454, 10789, 4578, 5811, 267, 10803, 1299, 17438, 16387, 10606, 1299, 15051, 7335, 10426, 1137, 22054, 7388, 339, 687, 5675, 13038, 16644, 4069, 5999, 634, 4828, 4530, 6874, 1136, 11150, 18500, 12706, 518, 454, 8967, 1046, 31955, 454, 5441, 23670, 3827, 11038, 22707, 5441, 5020, 0, 30125, 692 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 772, 2529, 269, 538, 513, 2518, 5718, 2990, 547, 3914, 23636, 12046, 630, 24392, 3644, 14726, 267, 7132, 5663, 543, 3892, 2591, 267, 6414, 1040, 15788, 267, 649, 723, 6015, 602, 519, 772, 2529, 269, 4346, 568, 17479, 547, 6450, 895, 713, 4832, 563, 4407, 649, 723, 1044, 14968, 1226, 885, 585, 930, 942, 267, 649, 2611, 21713, 540, 1312, 29925, 4145, 543, 2242, 547, 3255, 538, 6378, 4747, 563, 763, 2063, 2262, 454, 4462, 322, 1643, 1399, 3788, 538, 6125, 543, 9698, 6990, 269, 1703, 616, 4145, 602, 1360, 1970, 1719, 3928, 267, 13745, 609, 7372, 16642, 17003, 543, 1164, 2123, 9806, 21356, 267, 1223, 25793, 1662, 7082, 3747, 543, 1291, 547, 31250, 10637, 269, 6239, 8492, 1131, 1287, 581, 7142, 547, 6318, 3928, 19692, 982, 4397, 269, 7201, 1699, 6381, 267, 519, 2344, 1131, 2070, 2362, 3928, 607, 513, 2942, 269, 2334, 1767, 267, 649, 3494, 713, 568, 12691, 563, 8448, 5686, 540, 10462, 2611, 607, 1134, 269, 28404, 5066, 8083, 267, 1247, 1360, 11141, 607, 905, 1846, 540, 4199, 6888, 543, 17825, 267, 616, 14887, 982, 649, 1185, 12479, 269, 1284, 1810, 1406, 917, 2436, 6552, 2324, 786, 2842, 1524, 950, 621, 779, 2922, 547, 979, 1394, 547, 519, 5604, 269, 7439, 798, 649, 917, 2436, 6800, 786, 6521, 689, 2228, 10918, 547, 20398, 7146, 2173, 677, 541, 10685, 2899, 519, 4346, 10741, 909, 1586, 563, 3080, 3364, 568, 1978, 267, 2705, 281, 3131, 14651, 543, 27265, 723, 4412, 8215, 721, 2673, 547, 519, 9096, 1899, 538, 519, 2518, 5198, 547, 20630, 519, 3644, 563, 22033, 8659, 538, 713, 8313, 568, 1759, 593, 2959, 971, 607, 1615, 21838, 5359, 267, 8579, 2533, 543, 2872, 10618, 267, 799, 649, 3494, 616, 6325, 855, 616, 711, 6719, 607, 4977, 610, 2347, 269, 25709, 687, 6829, 538, 713, 8313, 616, 1699, 8369, 1152, 543, 616, 1641, 547, 1689, 269, 645, 19616, 17721, 32100, 24693, 1100, 15668, 31049, 585, 1022, 2530, 16109, 689, 1022, 946, 540, 713, 16555, 610, 922, 9115, 269, 634, 1344, 267, 8369, 267, 9193, 267, 20327, 543, 824, 2326, 8659, 23954, 616, 711, 547, 581, 1526, 29471, 607, 606, 2709, 547, 6133, 267, 513, 1151, 545, 2787, 585, 610, 606, 2709, 547, 4444, 267, 1022, 2472, 610, 2533, 26518, 23954, 630, 10175, 267, 1510, 20159, 267, 1022, 21113, 267, 19736, 610, 824, 2883, 7405, 1070, 6862, 4927, 971, 1344, 267, 8369, 267, 9193, 267, 20327, 543, 824, 2326, 581, 2808, 607, 5092, 5796, 267, 3454, 5796, 267, 513, 16252, 547, 4283, 883, 1022, 11834, 610, 606, 22059, 610, 10018, 607, 547, 519, 4397, 2164, 540, 1022, 11834, 563, 2791, 1058, 711, 957, 610, 7048, 593, 519, 1344, 8659, 538, 713, 8313, 1510, 5275, 519, 5796, 540, 606, 3617, 3318, 25129, 563, 13696, 302, 17721, 32100, 568, 513, 6216, 2012, 585, 513, 1870, 1895, 9967, 540, 7813, 540, 27292, 543, 1978, 540, 922, 28930, 919, 538, 3246, 4357, 5763, 2359, 2472, 543, 2533, 269, 3502, 782, 2472, 543, 2533, 616, 6035, 676, 782, 3656, 9988, 1369, 645, 19616, 17721, 32100, 269, 30914, 2533, 616, 6035, 998, 7813, 540, 27292, 269, 20971, 2359, 267, 5763, 4058, 267, 3454, 4058, 267, 24960, 344, 4058, 2533, 616, 6035, 998, 645, 19616, 715, 525, 4226, 339, 31293, 5549, 269, 543, 645, 19616, 17721, 20971, 21835, 5549, 269, 24529, 267, 3972, 267, 543, 8169, 617, 658, 2533, 616, 6035, 998, 645, 19616, 11565, 7577, 269, 15928, 2533, 543, 2472, 616, 6035, 998, 645, 19616, 24529, 15928, 27545, 7896, 5549, 1421, 513, 28025, 24804, 13564, 10706, 540, 645, 19616, 715, 525, 4226, 339, 31293, 5549, 269, 645, 19616, 17721, 32100, 3656, 9988, 798, 711, 2709, 3454, 5796, 269, 645, 19616, 715, 525, 4226, 339, 31293, 5549, 269, 568, 513, 4759, 540, 519, 8225, 7767, 528, 10466, 8750, 543, 519, 20971, 12752, 27943, 9257, 540, 4516, 269, 645, 19616, 11565, 7577, 543, 645, 19616, 7813, 540, 27292, 616, 16840, 540, 7131, 2975, 269, 0, 1607, 3184, 2488, 513, 3140, 2796, 585, 3662, 10721, 2090, 676, 6313, 5697, 3344, 540, 1480, 270, 534, 2711, 3347, 607, 789, 7960, 689, 519, 2038, 21524, 1716, 1974, 547, 519, 1459, 1554, 269, 898, 7710, 875, 3735, 22733, 10601, 1561, 951, 5828, 2831, 883, 15327, 585, 14291, 7943, 883, 7443, 267, 543, 875, 13524, 10601, 1514, 10688, 2813, 519, 2413, 6377, 4620, 2872, 269, 898, 15109, 519, 12825, 2208, 540, 1719, 538, 3552, 2831, 538, 519, 14206, 2540, 267, 519, 11707, 543, 20656, 540, 741, 4159, 538, 24811, 267, 543, 519, 2994, 585, 741, 1353, 538, 519, 2361, 267, 1354, 7432, 547, 519, 2208, 540, 1719, 538, 3662, 8116, 543, 10236, 31532, 538, 8938, 23867, 10601, 14172, 543, 922, 6286, 585, 519, 13184, 2872, 269, 8750, 3512, 958, 267, 713, 3184, 12125, 519, 1114, 8658, 538, 799, 2831, 616, 9833, 607, 6151, 2326, 267, 607, 2645, 267, 610, 607, 1004, 11652, 12134, 1018, 713, 666, 2995, 721, 827, 9962, 1480, 16216, 264, 3347, 538, 519, 19848, 18152, 563, 347, 17138, 540, 3984, 8313, 1475, 763, 10228, 18361, 540, 5029, 529, 1049, 5525, 2008, 347, 10955, 6002, 1475, 299, 25475, 30460, 6199, 267, 14811, 25669, 16803, 2008, 347, 21812, 1475, 23682, 5112, 2160, 4964, 2008, 347, 26397, 4567, 1475, 13775, 910, 476, 1240, 4119, 476, 1708, 273, 347 ]

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

[ 2435, 11795, 292, 336, 6185, 292, 302, 6877, 346, 293, 5979, 520, 5038, 267, 4469, 13331, 5038, 267, 4469, 13331, 5038, 267, 4469, 13331, 5038, 267, 623, 2975, 2632, 28948, 23334, 1049, 346, 4504, 5038, 3686, 267, 1826, 1993, 263, 11795, 292, 336, 26015, 269, 7495, 292, 32707, 9128, 288, 17109, 318, 301, 3036, 300, 1070, 1826, 1993, 263, 641, 17884, 1070, 23875, 267, 11910, 3724, 13729, 346, 307, 340, 921, 346, 9574, 16515, 921, 346, 3686, 267, 1826, 1993, 263, 11795, 292, 336, 26015, 269, 7495, 292, 32707, 9128, 288, 17109, 318, 3041, 5495, 15674, 293, 291, 6865, 288, 2562, 1070, 1826, 1993, 263, 11795, 292, 336, 26015, 269, 7495, 292, 32707, 9128, 288, 17109, 318, 24165, 294, 318, 300, 2464, 6347, 12283, 1070, 1826, 1993, 263, 11795, 292, 336, 26015, 269, 7495, 292, 32707, 9128, 288, 17109, 318, 7419, 4306, 21764, 318, 290, 4047, 290, 298, 1070, 4578, 1805, 23461, 11065, 2435, 14737, 3891, 777, 346, 293, 5979, 520, 5038, 9574, 4578, 1805, 23461, 11065, 2435, 14737, 3891, 777, 346, 293, 5979, 520, 5038, 9574, 23875, 267, 23875, 267, 2271, 5038, 267, 16515, 921, 346, 9574, 16515, 921, 346, 9574, 16515, 921, 346, 3686, 267, 21070, 346, 293, 5979, 520, 5038, 9574, 4469, 13331, 5038, 267, 23875, 267, 18103, 2435, 11795, 292, 336, 6185, 1030, 5435, 22873, 9574, 21461, 15311, 302, 6113, 2435, 11795, 292, 336, 269, 4467, 22683, 290, 5995, 346, 307, 340, 921, 346, 302, 6113, 2435, 11795, 292, 336, 11053, 338, 527, 276, 290, 5995, 346, 309, 10725, 346, 293, 5979, 520, 5038, 9574, 21070, 346, 293, 5979, 520, 5038, 9574, 21070, 346, 293, 5979, 520, 5038, 9574, 18103, 2435, 11795, 292, 336, 11053, 338, 527, 276, 17746, 656, 290, 5995, 346, 293, 5979, 520, 5038, 267, 4469, 13331, 5038, 3686, 267, 18103, 2435, 11795, 292, 336, 10611, 4923, 321, 13702, 2537, 290, 5995, 346, 309, 10725, 346, 293, 5979, 520, 5038, 9574, 21070, 346, 293, 5979, 520, 5038, 9574, 21070, 346, 293, 5979, 520, 5038, 9574, 19336, 346, 293, 5979, 520, 5038, 9574, 19336, 346, 293, 5979, 520, 5038, 9574, 18103, 2435, 11795, 292, 336, 10611, 4923, 321, 13702, 2537, 8368, 879, 346, 293, 5979, 520, 5038, 9574, 2233, 7876, 26015, 11053, 830, 294, 2784, 1304, 310, 571, 3899, 346, 7495, 9128, 4233, 346, 25152, 267, 1826, 1993, 30044, 325, 684, 1070, 31538, 9928, 2718, 346, 289, 944, 9574, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 1826, 1993, 22829, 857, 7876, 26015, 6185, 9128, 288, 17109, 318, 302, 7034, 27263, 3633, 1070, 23875, 9574, 21070, 346, 293, 5979, 520, 5038, 9574, 21070, 346, 293, 5979, 520, 5038, 3686, 267, 2233, 7876, 26015, 269, 308, 297, 659, 984, 1014, 310, 571, 3899, 346, 7495, 9128, 4233, 346, 25152, 267, 1826, 1993, 30044, 325, 684, 1070, 31538, 9928, 2718, 346, 289, 944, 9574, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 1826, 1993, 22829, 857, 7876, 26015, 6185, 9128, 288, 17109, 318, 302, 7034, 27263, 3633, 1070, 23875, 9574, 4469, 13331, 5038, 267, 21070, 346, 293, 5979, 520, 5038, 3686, 267, 4347, 5435, 31690, 24169, 267, 5685, 924, 11795, 12282, 659, 984, 1014, 290, 5995, 346, 309, 10725, 346, 293, 5979, 520, 5038, 9574, 21070, 346, 293, 5979, 520, 5038, 9574, 21070, 346, 293, 5979, 520, 5038, 9574, 5149, 305, 1052, 346, 4504, 5038, 9574, 23875, 267, 4406, 346, 281, 3453, 12917, 1070, 4469, 13331, 5038, 9574, 5685, 924, 11795, 14371, 2784, 1304, 290, 5995, 346, 301, 5847, 267, 21070, 346, 293, 5979, 520, 5038, 9574, 21070, 346, 293, 5979, 520, 5038, 9574, 4469, 13331, 5038, 267, 4406, 346, 281, 3453, 12917, 1070, 4469, 13331, 5038, 267, 4406, 346, 25152, 348, 3890, 3686, 9574, 18103, 2435, 11795, 292, 336, 6993, 19513, 18933, 3558, 290, 5995, 346, 25629, 527, 276, 267, 25347, 321, 13702, 2537, 346, 271, 267, 7301, 267, 4347, 5435, 31690, 24169, 267, 4578, 13911, 9574, 21929, 346, 4504, 5038, 9574, 2271, 5038, 3686, 994, 287, 18103, 2435, 11795, 292, 336, 595, 24097, 5825, 619, 315, 12528, 12459, 592, 807, 315, 17569, 1137, 315, 302, 6113, 2435, 11795, 292, 336, 315, 320, 276, 336, 11803, 315, 338, 21683, 315, 704, 845, 14067, 788, 315, 1260, 22683, 30648, 845, 14067, 788, 12459, 331, 281, 4375, 454, 314, 277, 316, 6449, 8181, 263, 22238, 15311, 7495, 292, 19370, 346, 309, 10725, 346, 293, 5979, 520, 5038, 9574, 16515, 921, 346, 293, 5979, 520, 5038, 267, 4469, 13331, 5038, 9574, 3020, 267, 21070, 346, 293, 5979, 520, 5038, 9574, 744, 291, 9128, 4233, 346, 25152, 267, 1826, 1993, 30044, 325, 684, 1070, 31538, 9928, 2718, 346, 289, 944, 9574, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 1826, 1993, 22829, 857, 7876, 26015, 6185, 9128, 288, 17109, 318, 302, 7034, 27263, 3633, 1070, 23875, 9574, 12476, 15660, 614, 2209, 10422, 4202, 346, 4462, 542, 346, 9574, 5742, 346, 9574, 16515, 921, 346, 9574, 715, 3139, 307, 340, 921, 18950, 1070, 16515, 921, 346, 3686, 9574, 2233, 7876, 26015, 269, 24092, 7495, 292, 19370, 9574, 3473, 15311, 4467, 22683, 2704, 326, 3596, 332, 346, 307, 340, 921, 346, 25629, 527, 276, 267, 25347, 321, 13702, 2537, 346, 271, 267, 7301, 267, 4347, 5435, 31690, 24169, 267, 4578, 13911, 3686, 267, 16790, 18933, 3558, 346, 25629, 527, 276, 267, 25347, 321, 13702, 2537, 346, 271, 267, 7301, 267, 4347, 5435, 31690, 24169, 267, 4578, 13911, 9574, 21929, 346, 4504, 5038, 9574, 2271, 5038, 3686, 267, 2053, 7685, 318, 8181, 15311, 307, 340, 921, 346, 9574, 512, 338, 318, 8181, 15311, 307, 340, 921, 346, 9574, 31872, 318, 8181, 15311, 307, 340, 921, 346, 9574, 973, 20234, 850, 15311, 13911, 346, 11749, 346, 25152, 3686, 282, 4688, 520, 15311, 307, 340, 921, 346, 9574, 512, 560, 3591, 15311, 307, 340, 921, 346, 9574, 546, 318, 4134, 11666, 340, 885, 15311, 307, 340, 921, 346, 9574, 4688, 16182, 343, 338, 15311, 301, 5847, 267, 4688, 21223, 854, 21163, 15311, 289, 944, 267, 4688, 318, 517, 15311, 289, 944, 267, 4688, 318, 11034, 15311, 289, 944, 267, 4688, 318, 754, 15311, 301, 5847, 267, 1289, 3724, 15311, 301, 5847, 267, 10053, 15311, 289, 944, 267, 1608, 1188, 15311, 289, 944, 267, 24303, 15311, 293, 5979, 520, 5038, 267, 24303, 2381, 15311, 301, 5847, 267, 24303, 10946, 15311, 293, 5979, 520, 5038, 267, 3196, 5091, 339, 2381, 15311, 289, 944, 267, 13261, 15311, 289, 944, 267, 18325, 15311, 305, 1049, 346, 4504, 5038, 9574, 17712, 565, 15311, 301, 5847, 267, 882, 339, 565, 15311, 301, 5847, 267, 7117, 2381, 15311, 305, 1049, 346, 4504, 5038, 9574, 7117, 10946, 15311, 4504, 5038, 267, 7117, 560, 1737, 344, 28804, 15311, 4504, 5038, 267, 7117, 560, 1737, 344, 26174, 15311, 4504, 5038, 267, 12498, 272, 15311, 301, 5847, 267, 12498, 273, 15311, 301, 5847, 267, 7117, 1245, 8181, 15311, 305, 1049, 346, 4504, 5038, 9574, 17120, 15311, 301, 5847, 267, 2407, 7538, 1125, 15311, 289, 944, 267, 3111, 26476, 15311, 4504, 5038, 267, 3193, 527, 619, 15311, 4504, 5038, 267, 4835, 17884, 15311, 6943, 1993, 263, 11795, 292, 336, 26015, 269, 7495, 292, 32707, 9128, 288, 17109, 318, 301, 3036, 300, 1070, 4835, 641, 17884, 15311, 6943, 1993, 263, 641, 17884, 1070, 568, 719, 1993, 3256, 664, 15311, 6943, 1993, 263, 11795, 292, 336, 26015, 269, 7495, 292, 32707, 9128, 288, 17109, 318, 3041, 5495, 15674, 293, 291, 6865, 288, 2562, 1070, 18633, 318, 13765, 15311, 6943, 1993, 263, 11795, 292, 336, 26015, 269, 7495, 292, 32707, 9128, 288, 17109, 318, 7419, 4306, 21764, 318, 290, 4047, 290, 298, 1070, 8231, 846, 15311, 289, 944, 267, 2053, 7685, 318, 518, 5558, 15311, 289, 944, 267, 10053, 318, 518, 5558, 15311, 289, 944, 267, 4434, 15461, 4671, 17380, 15311, 289, 944, 267, 3247, 318, 520, 318, 10113, 4671, 17380, 15311, 289, 944, 267, 3355, 1125, 5334, 1511, 15311, 289, 944, 267, 3356, 15311, 289, 944, 267, 3356, 14067, 10134, 15311, 4504, 5038, 267, 3356, 12173, 15311, 21803, 267, 3356, 8548, 20687, 15311, 6943, 1993, 263, 11795, 292, 336, 26015, 269, 7495, 292, 32707, 9128, 288, 17109, 318, 24165, 294, 318, 300, 2464, 6347, 12283, 1070, 3593, 11907, 15311, 301, 5847, 267, 1450, 318, 2169, 1905, 15684, 15311, 289, 944, 267, 3355, 1125, 318, 15759, 15249, 15311, 289, 944, 267, 620, 5362, 318, 340, 271, 15311, 289, 944, 267, 620, 5362, 318, 706, 271, 15311, 289, 944, 267, 3355, 1125, 14607, 15311, 302, 6113, 2435, 11795, 292, 336, 6185, 1030, 5435, 22873, 267, 737, 342, 16911, 15311, 26015, 15660, 614, 2209, 10422, 4202, 346, 15228, 2513, 267, 645, 944, 267, 16515, 921, 346, 15228, 2513, 267, 13507, 9574, 715, 3139, 307, 340, 921, 18950, 281, 29239, 27133, 267, 2433, 16149, 22710, 1070, 16515, 921, 346, 289, 944, 267, 645, 944, 3686, 348, 994, 287, 18103, 2435, 11795, 292, 336, 595, 24097, 5825, 619, 315, 12528, 12459, 592, 807, 315, 17569, 1137, 315, 302, 6113, 2435, 11795, 292, 336, 315, 320, 276, 336, 11803, 315, 338, 21683, 315, 338, 9876, 12459, 331, 281, 27174, 454, 314, 278, 316, 6449, 338, 9876, 263, 15311, 7495, 292, 19370, 346, 309, 10725, 346, 293, 5979, 520, 5038, 9574, 16515, 921, 346, 293, 5979, 520, 5038, 267, 4469, 13331, 5038, 9574, 3020, 267, 21070, 346, 293, 5979, 520, 5038, 9574, 744, 291, 9128, 4233, 346, 25152, 267, 1826, 1993, 30044, 325, 684, 1070, 31538, 9928, 2718, 346, 289, 944, 9574, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 1826, 1993, 22829, 857, 7876, 26015, 6185, 9128, 288, 17109, 318, 302, 7034, 27263, 3633, 1070, 23875, 9574, 12476, 15660, 614, 2209, 10422, 4202, 346, 4462, 542, 346, 9574, 5742, 346, 9574, 16515, 921, 346, 9574, 715, 3139, 307, 340, 921, 18950, 1070, 16515, 921, 346, 3686, 9574, 2233, 7876, 26015, 269, 24092, 7495, 292, 19370, 9574, 26012, 4467, 22683, 2704, 326, 3596, 332, 346, 307, 340, 921, 346, 25629, 527, 276, 267, 25347, 321, 13702, 2537, 346, 271, 267, 7301, 267, 4347, 5435, 31690, 24169, 267, 4578, 13911, 3686, 267, 16790, 18933, 3558, 346, 25629, 527, 276, 267, 25347, 321, 13702, 2537, 346, 271, 267, 7301, 267, 4347, 5435, 31690, 24169, 267, 4578, 13911, 9574, 21929, 346, 4504, 5038, 9574, 2271, 5038, 3686, 282, 737, 342, 16911, 15311, 26015, 15660, 614, 2209, 10422, 4202, 346, 15228, 2513, 267, 645, 944, 267, 16515, 921, 346, 15228, 2513, 267, 13507, 9574, 715, 3139, 307, 340, 921, 18950, 281, 29239, 27133, 267, 2433, 16149, 22710, 1070, 16515, 921, 346, 289, 944, 267, 645, 944, 3686, 348, 994, 287, 18103, 2435, 11795, 292, 336, 595, 24097, 5825, 619, 315, 12528, 12459, 592, 807, 315, 17569, 1137, 315, 302, 6113, 2435, 11795, 292, 336, 315, 320, 276, 336, 11803, 315, 338, 21683, 315, 338, 9876, 12459, 331, 281, 275, 454, 314, 279, 316, 6449, 338, 9876, 263, 15311, 7495, 292, 19370, 346, 309, 10725, 346, 293, 5979, 520, 5038, 9574, 16515, 921, 346, 293, 5979, 520, 5038, 267, 4469, 13331, 5038, 9574, 3020, 267, 21070, 346, 293, 5979, 520, 5038, 9574, 744, 291, 9128, 4233, 346, 25152, 267, 1826, 1993, 30044, 325, 684, 1070, 31538, 9928, 2718, 346, 289, 944, 9574, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 23875, 267, 1826, 1993, 22829, 857, 7876, 26015, 6185, 9128, 288, 17109, 318, 302, 7034, 27263, 3633, 1070, 23875, 9574, 12476, 15660, 614, 2209, 10422, 4202, 346, 4462, 542, 346, 9574, 5742, 346, 9574, 16515, 921, 346, 9574, 715, 3139, 307, 340, 921, 18950, 1070, 16515, 921, 346, 3686, 9574, 2233, 7876, 26015, 269, 24092, 7495, 292, 19370, 9574, 26012, 301, 5847, 282, 9949, 27133, 15311, 289, 944, 267, 737, 342, 16911, 15311, 26015, 15660, 614, 2209, 10422, 4202, 346, 15228, 2513, 267, 645, 944, 267, 16515, 921, 346, 15228, 2513, 9574, 715, 3139, 307, 340, 921, 18950, 281, 16149, 22710, 267, 1070, 16515, 921, 346, 289, 944, 3686, 348, 994, 287, 27018, 13420, 725, 595, 24097, 5825, 619, 315, 12528, 12459, 592, 807, 315, 17569, 1137, 315, 17843, 658 ]

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

[ 0, 7705, 281, 19850, 7585, 256, 594, 729, 2542, 713, 4277, 2376, 827, 1004, 609, 9124, 2221, 269, 1684, 596, 917, 1018, 621, 1797, 547, 723, 513, 9659, 2496, 7692, 281, 23010, 267, 594, 1589, 865, 269, 898, 781, 950, 2576, 666, 1405, 798, 1978, 1919, 899, 824, 1004, 1317, 789, 616, 7210, 267, 13676, 267, 610, 4535, 1114, 267, 1318, 2496, 8334, 281, 22549, 256, 1656, 649, 991, 547, 1174, 741, 3510, 1732, 865, 649, 666, 948, 873, 952, 2877, 543, 1521, 3025, 8449, 269, 1924, 267, 1577, 803, 2307, 596, 1945, 269, 1548, 1131, 596, 798, 952, 707, 3659, 945, 3096, 513, 30523, 6499, 547, 2097, 547, 707, 2777, 855, 707, 4395, 7450, 814, 24383, 2496, 7692, 281, 7937, 1100, 256, 2334, 1223, 581, 2352, 269, 9320, 594, 666, 948, 1864, 676, 8876, 1010, 11381, 909, 519, 3268, 610, 1265, 1776, 1259, 585, 1864, 547, 1205, 3330, 780, 8334, 281, 1411, 3893, 621, 256, 9861, 3222, 540, 971, 2591, 2337, 721, 1118, 15826, 3664, 269, 3767, 4952, 596, 2811, 693, 1153, 543, 972, 781, 513, 1007, 2875, 945, 568, 9420, 269, 1215, 1522, 596, 4217, 873, 1282, 12899, 5503, 538, 519, 22538, 2678, 807, 2496, 7692, 281, 670, 7825, 332, 1862, 6148, 594, 1223, 4766, 1141, 1142, 1426, 6221, 568, 4092, 593, 519, 7674, 1899, 543, 1287, 3391, 873, 547, 606, 8900, 3349, 269, 3973, 267, 2899, 27206, 267, 594, 1223, 2995, 873, 799, 10425, 543, 7873, 9323, 616, 7404, 780, 8334, 281, 4279, 2816, 3206, 6619, 256, 1879, 14379, 609, 1004, 609, 6217, 23043, 267, 3314, 602, 6340, 5693, 1247, 6849, 873, 568, 1271, 269, 4746, 267, 1810, 1405, 7340, 602, 930, 9124, 5749, 1405, 7298, 269, 1280, 1383, 267, 2576, 1522, 6560, 609, 1565, 610, 19551, 1919, 1813, 547, 2175, 899, 27577, 610, 10295, 780, 7692, 281, 13259, 267, 1631, 594, 1294, 269, 1284, 12582, 1405, 8263, 16764, 568, 519, 1482, 543, 1590, 1451, 8335, 3006, 269, 1809, 1018, 952, 2576, 18417, 3081, 1945, 18086, 827, 2576, 3116, 781, 9659, 286, 9701, 333, 1405, 649, 2953, 873, 2496, 8334, 281, 8786, 267, 9900, 18997, 1866, 827, 3617, 1893, 543, 2623, 568, 1898, 585, 2870, 606, 8537, 1604, 269, 3807, 3314, 267, 1373, 2186, 543, 3461, 4422, 513, 1279, 1259, 269, 15526, 19262, 2463, 543, 3160, 3255, 780, 7692, 281, 25999, 267, 7705, 269, 8729, 585, 3450, 803, 811, 827, 1514, 2257, 543, 4543, 803, 1831, 811, 13533, 540, 1346, 1472, 803, 269, 2913, 781, 1832, 10825, 11587, 543, 4656, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 300, 7495, 30204, 29376, 2464, 1775, 454, 10955, 6002, 281, 19264, 11986, 5689, 14653, 571, 28763, 597, 19300, 14269, 2725, 615, 715, 880, 577, 531, 15840, 331, 715, 8811, 926, 6390, 715, 2701, 16223, 1177, 520, 26115, 385, 510, 3427, 540, 12020, 543, 15339, 267, 1715, 16156, 267, 476, 1001, 278, 2598, 25068, 267, 634, 2278, 543, 9375, 4433, 264, 798, 711, 3398, 1022, 5539, 610, 15668, 31049, 2436, 538, 4579, 267, 12475, 267, 9698, 610, 6382, 585, 1022, 2962, 3144, 607, 513, 1267, 540, 1344, 538, 713, 1867, 585, 1022, 5470, 267, 14413, 638, 2329, 267, 10638, 267, 2095, 610, 522, 3939, 538, 519, 1344, 3177, 676, 519, 1867, 269, 634, 9375, 4433, 264, 543, 4589, 540, 519, 4574, 798, 711, 3409, 1022, 9562, 936, 1257, 270, 20880, 602, 814, 1044, 26518, 610, 2907, 3370, 269, 2353, 2924, 11603, 269, 3143, 851, 540, 713, 1433, 949, 581, 3812, 538, 1022, 1106, 610, 676, 1022, 5907, 610, 7344, 1797, 267, 1519, 1344, 4859, 543, 23023, 1949, 267, 1510, 2854, 10479, 689, 519, 21101, 610, 2278, 4433, 1070, 4849, 538, 519, 2013, 540, 513, 2689, 518, 267, 945, 949, 10839, 5618, 15102, 22993, 538, 2565, 4930, 538, 513, 2689, 269, 15618, 538, 476, 1001, 278, 676, 4972, 540, 15339, 3427, 540, 12020, 543, 15339, 11110, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24719, 13316, 1315, 4658, 609, 24894, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 8702, 547, 606, 3078, 3460, 998, 519, 4241, 1158, 540, 14464, 11106, 256, 1411, 1522, 723, 4862, 540, 3642, 1354, 910, 621, 781, 950, 5904, 543, 6191, 616, 2966, 547, 957, 4111, 1836, 267, 1175, 899, 721, 3425, 256, 4653, 267, 649, 786, 4685, 883, 835, 1880, 3498, 540, 3642, 1572, 31096, 7020, 267, 799, 9388, 609, 7114, 8966, 3270, 610, 856, 11502, 1369, 1239, 936, 942, 269, 1677, 1174, 713, 1732, 267, 1577, 781, 1101, 2263, 930, 9238, 1210, 513, 1187, 1383, 780, 5331, 596, 2445, 1239, 593, 707, 3232, 27108, 540, 17711, 585, 513, 2898, 3923, 676, 10203, 543, 10916, 519, 1297, 540, 4773, 596, 3548, 1142, 1554, 269, 2659, 1239, 1131, 1413, 1945, 899, 713, 281, 2715, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 277, 267, 476, 276, 267, 476, 275, 267, 476, 274, 267, 476, 273, 20467, 3767, 15475, 596, 1616, 547, 2638, 952, 972, 616, 1022, 9490, 2395, 1141, 6148, 596, 17696, 1932, 1454, 610, 1932, 2370, 17711, 3379, 547, 824, 2395, 269, 2334, 781, 1018, 649, 1289, 31096, 7020, 2439, 3086, 267, 875, 666, 6128, 948, 721, 2697, 891, 20868, 2395, 286, 2290, 3532, 1907, 568, 5506, 543, 7194, 1107, 2523, 2035, 899, 25939, 543, 3044, 24017, 269, 2913, 781, 1376, 2241, 281, 4466, 519, 3328, 630, 528, 1611, 264, 540, 707, 10865, 17711, 6981, 269, 5410, 909, 782, 519, 2338, 543, 7941, 873, 676, 519, 2698, 1293, 1384, 263, 274, 266, 275, 266, 276, 266, 277, 266, 278, 266, 279, 266, 280, 266, 277, 266, 276, 266, 275, 266, 274, 266, 273, 8358, 1321, 815, 476, 276, 692, 15124, 256, 1924, 2947, 31496, 829, 1554, 4667, 3339, 585, 596, 269, 1809, 7227, 267, 1281, 602, 2731, 2995, 721, 2614, 827, 938, 1239, 286, 3502, 3833, 2943, 269, 5994, 2348, 1079, 3275, 4502, 540, 1239, 282, 835, 609, 1152, 1360, 1507, 15088, 1472, 519, 1611, 1871, 543, 1776, 6029, 5458, 7648, 269, 5637, 1223, 1869, 2671, 519, 1482, 3169, 1611, 1871, 540, 476, 276, 855, 5693, 2099, 1114, 3871, 269, 4935, 267, 649, 849, 2015, 3262, 538, 1840, 547, 3844, 12402, 269, 1280, 602, 267, 649, 6338, 519, 1523, 540, 3044, 11539, 780, 24092, 8061, 2747, 3800, 875, 2484, 1367, 2418, 30065, 2476, 689, 519, 1611, 269, 29626, 621, 3340, 930, 1950, 12596, 1655, 2451, 585, 1164, 1153, 610, 2852, 5049, 269, 1717, 267, 1620, 922, 2495, 3788, 2629, 1256, 693, 707, 2085, 269, 1403, 1034, 540, 707, 3232, 17711, 4616, 6013, 2673, 547, 519, 1611, 630, 869, 3044, 11539, 1070, 1287, 11287, 513, 1804, 3017, 1063, 4890, 543, 4397, 2418, 6786, 2009, 22114, 269, 2201, 519, 14669, 267, 3152, 13260, 10522, 1447, 22150, 2623, 267, 1818, 22114, 9875, 547, 5544, 11617, 780, 28274, 713, 2856, 1394, 547, 938, 3312, 2243, 281, 16326, 18811, 748, 2395, 538, 513, 2053, 7685, 10471, 267, 649, 5173, 1312, 519, 1611, 543, 3044, 11539, 269, 4495, 649, 3715, 1346, 267, 649, 5581, 3652, 8159, 1018, 13054, 1412, 1598, 1052, 8339, 15380, 267, 2798, 14084, 3564, 1978, 29676, 630, 324, 3052, 1421, 1341, 25773, 476, 273, 343, 31901, 1821, 264, 949, 6318, 27421, 269, 8409, 1831, 10457, 8506, 6251, 14791, 610, 2417, 2079, 780, 1103, 3932, 267, 5841, 4987, 3884, 1405, 1175, 827, 11608, 2921, 936, 6009, 610, 1582, 28391, 6517, 269, 2060, 2979, 543, 28135, 267, 3642, 2488, 3407, 4030, 4543, 721, 10625, 6456, 11580, 12617, 2620, 3330, 10239, 540, 9583, 27217, 1344, 269, 1635, 1565, 2553, 899, 31096, 7020, 2038, 593, 267, 9358, 1932, 666, 10244, 519, 1379, 540, 3642, 547, 7866, 9058, 2984, 3297, 8723, 14449, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 291, 633, 883, 519, 1158, 540, 14464, 11106, 543, 3605, 875, 713, 6385, 9687, 2029, 568, 13321, 6080, 543, 4657, 519, 1259, 649, 2661, 543, 960, 269, 901, 19444, 779, 5850, 6227, 3388, 596, 991, 547, 917, 827, 3642, 267, 1519, 922, 1686, 267, 2010, 267, 3156, 267, 2645, 543, 2640, 563, 272, 269, 1548, 568, 14464, 11106, 888, 25369, 11106, 630, 9590, 264, 4016, 547, 519, 2702, 540, 6191, 547, 17932, 1480, 4987, 543, 1685, 4247, 602, 3335, 2154, 1480, 17133, 267, 971, 607, 3308, 8226, 267, 4633, 6284, 267, 3375, 6194, 267, 543, 1966, 9010, 563, 9590, 3322, 2870, 10995, 6620, 543, 2780, 3292, 602, 666, 1451, 267, 2601, 267, 543, 1118, 3664, 1759, 593, 1239, 11378, 269, 634, 3804, 540, 3642, 568, 547, 1711, 6191, 602, 666, 1589, 543, 1451, 899, 3425, 267, 543, 666, 1685, 4247, 811, 8308, 267, 7561, 267, 543, 3533, 982, 3425, 563, 9590, 568, 513, 6385, 3395, 2361, 602, 814, 519, 1761, 547, 22499, 1082, 6080, 543, 1764, 2486, 538, 1713, 2081, 563, 3963, 1684, 1284, 10261, 3203, 881, 807, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13878, 30388, 1315, 17438, 1299, 10803, 1315, 5384, 10022, 1315, 1323, 28109, 24544, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 23413, 11276, 19594, 631, 5474, 543, 13583, 20445, 692, 8702, 547, 938, 1576, 782, 827, 22788, 11276, 12217, 543, 28077, 2831, 256, 1411, 1522, 1589, 602, 891, 524, 3291, 569, 7068, 616, 1152, 5921, 585, 1404, 5503, 267, 855, 789, 2965, 723, 513, 4241, 1686, 2407, 540, 4277, 2984, 543, 2189, 19216, 262, 3688, 269, 4653, 267, 649, 786, 4685, 883, 519, 1158, 540, 22788, 11276, 7703, 15670, 543, 9755, 267, 609, 513, 1445, 593, 1346, 1759, 538, 5125, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 1174, 1946, 865, 1082, 1004, 2648, 10655, 25447, 543, 21305, 22788, 11276, 12217, 2439, 4131, 781, 1376, 676, 1565, 827, 875, 22788, 11276, 12217, 3893, 741, 2012, 269, 9894, 596, 917, 602, 621, 2501, 689, 5518, 31187, 17619, 267, 945, 729, 1419, 1572, 834, 307, 539, 11276, 22172, 4438, 513, 10122, 7552, 538, 476, 5002, 273, 267, 646, 15189, 547, 9496, 513, 9676, 7703, 7750, 267, 632, 25977, 621, 5667, 7964, 2006, 3697, 269, 901, 957, 6273, 513, 20419, 626, 3957, 1849, 858, 867, 7137, 787, 2006, 547, 2721, 513, 2797, 20419, 18995, 519, 2680, 267, 799, 1287, 3366, 547, 519, 5137, 540, 519, 1101, 22788, 11276, 7703, 11442, 676, 24261, 543, 14986, 5760, 339, 558, 538, 27201, 267, 1715, 3840, 269, 4595, 1287, 267, 22788, 11276, 12217, 723, 1831, 11537, 15274, 585, 1453, 630, 663, 4079, 14386, 1472, 519, 8608, 780, 3086, 267, 1577, 781, 2263, 930, 4583, 4436, 22788, 11276, 7703, 3549, 269, 2290, 971, 2754, 568, 6008, 858, 267, 8547, 538, 476, 6642, 271, 676, 12540, 732, 974, 6008, 858, 267, 513, 9378, 560, 816, 945, 2813, 1507, 5433, 19246, 607, 533, 4532, 2313, 687, 269, 1879, 1200, 683, 15343, 342, 8068, 835, 1223, 581, 1031, 607, 513, 11442, 267, 1352, 3459, 6721, 1585, 2571, 3662, 5515, 269, 4173, 1034, 11599, 1374, 3357, 538, 476, 5002, 274, 950, 9400, 6008, 858, 267, 1200, 683, 15343, 342, 267, 2966, 513, 4745, 539, 7703, 267, 1634, 2221, 607, 519, 834, 1540, 11276, 7703, 2437, 1310, 5518, 17619, 781, 7237, 269, 1452, 5929, 12217, 666, 30321, 1164, 5777, 1851, 19216, 1813, 547, 741, 11108, 23477, 543, 3140, 4644, 269, 3962, 6008 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 782, 1535, 4501, 488, 11433, 507, 692, 295, 272, 630, 295, 760, 582, 4185, 2187, 4501, 478, 343, 4501, 488, 11433, 507, 535, 263, 535, 3287, 264, 3738, 815, 1535, 692, 307, 272, 630, 763, 3974, 2187, 4501, 478, 343, 4501, 488, 11433, 507, 575, 263, 575, 3287, 264, 3738, 815, 1535, 692, 1607, 568, 606, 29943, 1141, 454, 295, 272, 2340, 18568, 570, 272, 454, 4501, 478, 343, 4501, 488, 11433, 507, 1496, 535, 6600, 3287, 4297, 815, 1535, 2340, 18568, 575, 14116, 3287, 4297, 815, 1535, 476, 6540, 2171, 786, 3313, 519, 2175, 585, 519, 31177, 582, 4185, 547, 581, 3020, 543, 1287, 798, 519, 1482, 585, 519, 19080, 269, 634, 649, 1265, 519, 2175, 616, 519, 1482, 585, 1312, 31177, 582, 4185, 543, 19080, 269, 901, 2636, 721, 547, 9959, 602, 519, 538, 2772, 3948, 568, 811, 982, 606, 29943, 267, 922, 1945, 834, 8421, 1227, 6793, 257, 910, 606, 30424, 670, 272, 414, 485, 498, 307, 272, 454, 5785, 5785, 14343, 734, 454, 299, 272, 630, 299, 655, 2742, 476, 272, 2187, 4501, 478, 343, 19749, 354, 271, 2340, 18568, 1923, 343, 347, 815, 1535, 454, 4501, 478, 343, 283, 271, 2340, 18568, 1923, 343, 347, 815, 910, 343, 454, 263, 1492, 2013, 1535, 284, 271, 729, 3769, 538, 519, 1101, 29943, 267, 855, 621, 1223, 581, 593, 519, 2034, 835, 267, 1932, 2020, 27893, 281, 4706, 6654, 267, 6236, 519, 4214, 540, 6207, 1871, 563, 5785, 5785, 14343, 734, 454, 27893, 540, 670, 272, 912, 4501, 478, 343, 4501, 488, 11433, 507, 535, 263, 535, 3287, 264, 3738, 815, 1535, 692, 295, 272, 18502, 264, 8865, 1535, 19749, 354, 271, 454, 325, 3287, 264, 815, 4949, 17070, 347, 343, 2008, 325, 3287, 264, 815, 4949, 17070, 343, 1109, 30336, 1109, 2260, 2421, 700, 272, 454, 325, 3287, 264, 815, 630, 320, 17070, 32589, 454, 325, 263, 535, 3287, 264, 3738, 815, 535, 263, 630, 320, 17070, 32589, 3738, 815, 630, 320, 17070, 264, 11054, 343, 692, 325, 263, 535, 3287, 264, 3738, 815, 1535, 454, 5416, 17070, 264, 11054, 343, 815, 1535, 2340, 485, 498, 630, 320, 17070, 264, 11054, 815, 476, 272, 692, 6962, 689, 670, 272, 18502, 994, 4501, 478, 343, 19749, 354, 271, 1496, 535, 263, 535, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 630, 320, 17070, 264, 11054, 815, 476, 272, 692, 295, 272, 12500, 264, 8865, 1535, 283, 271, 454, 325, 3287, 264, 815, 4949, 17070, 347, 343, 2008, 325, 3287, 264, 815, 4949, 17070, 8987, 343, 264, 1109, 30336, 1109, 2260, 2421, 700, 272, 454, 325, 3287, 264, 815, 4949, 1532, 343, 454, 325, 3287, 264, 815, 630, 320, 1532, 32589, 454, 325, 263, 535, 3287, 264, 3738, 815, 535, 263, 630, 320, 1532, 32589, 3738, 815, 630, 320, 1532, 264, 11054, 343, 692, 325, 263, 535, 3287, 264, 3738, 815, 1535, 454, 5416, 1532, 264, 11054, 343, 815, 1535, 2340, 485, 498, 630, 320, 1532, 264, 11054, 815, 476, 272, 692, 6962, 689, 670, 272, 12500, 994, 4501, 478, 343, 283, 271, 1496, 535, 263, 535, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 630, 320, 1532, 264, 11054, 815, 476, 272, 692, 6962, 689, 670, 272, 18502, 264, 543, 670, 272, 12500, 994, 4501, 478, 343, 19749, 354, 271, 1496, 535, 263, 535, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 630, 320, 17070, 264, 11054, 815, 476, 272, 454, 663, 454, 4501, 478, 343, 283, 271, 1496, 535, 263, 535, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 630, 320, 1532, 264, 11054, 815, 476, 272, 454, 11004, 1150, 454, 4501, 478, 343, 4501, 488, 11433, 507, 1496, 535, 263, 535, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 1496, 630, 320, 17070, 264, 11054, 815, 630, 320, 1532, 264, 11054, 815, 272, 476, 6540, 5785, 5785, 14343, 734, 454, 27893, 540, 570, 272, 912, 4501, 478, 343, 4501, 488, 11433, 507, 575, 263, 575, 3287, 264, 3738, 815, 1535, 692, 307, 272, 18502, 264, 8865, 1535, 19749, 354, 271, 454, 326, 3287, 264, 815, 575, 343, 1532, 347, 343, 2008, 326, 3287, 264, 815, 4949, 1532, 343, 1109, 30336, 1109, 2260, 2421, 700, 272, 454, 326, 3287, 264, 815, 630, 320, 1532, 32589, 454, 326, 14116, 3287, 4297, 815, 575, 9230, 320, 1532, 32589, 264, 815, 630, 320, 1532, 264, 11054, 343, 692, 326, 14116, 3287, 4297, 815, 1535, 454, 5416, 1532, 264, 11054, 343, 815, 1535, 2340, 485, 498, 630, 320, 1532, 264, 11054, 815, 476, 272, 692, 6962, 689, 570, 272, 18502, 994, 4501, 478, 343, 19749, 354, 271, 1496, 575, 263, 575, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 630, 320, 1532, 264, 11054, 815, 476, 272, 692, 295, 272, 12500, 264, 8865, 1535, 283, 271, 454, 326, 3287, 264, 815, 4949, 1532, 347, 343, 2008, 326, 3287, 264, 815, 4949, 1532, 8987, 343, 264, 1109, 30336, 1109, 2260, 2421, 700, 272, 454, 326, 3287, 264, 815, 4949, 17070, 343, 454, 326, 3287, 264, 815, 630, 320, 17070, 32589, 454, 326, 263, 575, 3287, 264, 3738, 815, 535, 263, 630, 320, 17070, 32589, 3738, 815, 630, 320, 17070, 264, 11054, 343, 692, 326, 263, 575, 3287, 264, 3738, 815, 1535, 454, 5416, 17070, 264, 11054, 343, 815, 1535, 2340, 485, 498, 630, 320, 17070, 264, 11054, 815, 476, 272, 692, 6962, 689, 570, 272, 12500, 994, 4501, 478, 343, 283, 271, 1496, 575, 263, 575, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 630, 320, 17070, 264, 11054, 815, 476, 272, 692, 6962, 689, 570, 272, 18502, 264, 543, 570, 272, 12500, 994, 4501, 478, 343, 19749, 354, 271, 1496, 575, 263, 575, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 630, 320, 1532, 264, 11054, 815, 476, 272, 454, 663, 454, 4501, 478, 343, 283, 271, 1496, 575, 263, 575, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 630, 320, 17070, 264, 11054, 815, 476, 272, 454, 11004, 1150, 454, 4501, 478, 343, 4501, 488, 11433, 507, 1496, 575, 263, 575, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 1496, 630, 320, 1532, 264, 11054, 815, 630, 320, 17070, 264, 11054, 815, 272, 476, 6540, 5785, 5785, 14343, 734, 454, 3519, 7501, 689, 670, 272, 543, 570, 272, 454, 4501, 478, 343, 4501, 488, 11433, 507, 1496, 535, 263, 535, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 1496, 630, 320, 17070, 264, 11054, 815, 630, 320, 1532, 264, 11054, 815, 272, 23378, 663, 454, 4501, 478, 343, 4501, 488, 11433, 507, 1496, 575, 263, 575, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 1496, 630, 320, 1532, 264, 11054, 815, 630, 320, 17070, 264, 11054, 815, 272, 23378, 11004, 1150, 454, 4501, 478, 343, 4501, 488, 11433, 507, 1496, 535, 263, 535, 3287, 264, 3738, 815, 1535, 9948, 2340, 485, 498, 3980, 478, 343, 4501, 488, 11433, 507, 1496, 575, 263, 575, 3287, 264, 3738, 815, 1535, 9948, 1109, 30336, 1109, 2260, 2421, 519, 1098, 6638, 3959, 540, 1412, 414, 485, 498, 7055, 4501, 478, 343, 4501, 488, 11433, 507, 1496, 535, 263, 535, 3287, 264, 3738, 815, 1535, 2340, 485, 498, 575, 263, 575, 3287, 264, 3738, 815, 1535, 23378, 810, 649, 666, 2161, 602, 454, 295, 272, 414, 485, 498, 570, 272, 3980, 368, 670, 272, 22382, 570, 272, 1109, 30336, 1109, 2260, 10472, 568, 1018, 649, 4941, 547, 6961, 454, 663, 811, 10756, 307, 272, 22382, 670, 272, 692, 8310, 12995, 676, 737, 1803, 330, 520, 7568, 630, 1220, 276, 268, 1556, 268, 6187, 476, 6734, 281, 5379, 281, 1704, 2020, 1012, 1948, 1015, 1109, 1220, 276, 268, 1556, 268, 6187, 476, 6021, 281, 6321, 281, 2641, 692, 13043, 325, 684, 454, 10817, 652, 692, 2162, 1234, 281, 6435, 7490, 2060, 12793, 256, 2439, 19136, 19739, 326, 19739, 326, 19739, 326, 19739, 326, 7064, 30314, 30314, 2439, 330, 1803, 330, 520, 7568, 454, 20175, 16588, 692, 19423, 1467, 692, 7224, 1966, 2433, 25589, 13043, 338, 3674, 29222, 0, 4338, 10803, 700, 624, 999, 454, 2421, 28199, 918, 1782, 692, 8802, 1833, 692, 6637, 476, 1724, 540, 707, 1433, 729, 5059, 593, 28547, 1239, 269, 3848, 476, 1691, 5654, 693, 10230, 1239, 269, 2060, 10230, 1239, 267, 513, 2078, 1063, 1079, 610, 811, 4632, 568, 8268, 676, 1210, 513, 5276, 9695, 780, 4415, 9695, 267, 649, 1589, 540, 835, 4756, 267, 799, 649, 1289, 962, 267, 607, 519, 8200, 4756, 269, 6271, 4756, 267, 799, 649, 1289, 2473, 267, 568, 519, 4830, 4756, 269, 769, 2259, 267, 972, 1419, 616, 1082, 4830, 4632, 267, 865, 649, 3717, 540, 1082, 2473, 781, 269, 1879, 972, 616, 1082, 2473, 781, 267, 713, 568, 1572, 2789, 9695, 269, 1879, 972, 568, 835, 2473, 267, 649, 1289, 621, 2582, 9695, 610, 2241, 9695, 780, 306, 17532, 22953, 692, 306, 17532, 9695, 13352, 513, 2786, 11060, 2078, 1063, 2473, 543, 962, 269, 1280, 1383, 267, 15475, 602, 962, 568, 519, 1942, 540, 513, 2182, 12210, 543, 2473, 568, 519, 2179, 540, 4859, 593, 519, 2182, 12210, 269, 1284, 1522, 979, 593, 519, 5769, 543, 1413, 909, 519, 5777, 543, 4859, 19206, 585, 513, 19619, 540, 12210, 11479, 543, 4729, 891, 607, 2798, 593, 513, 3113, 269, 3973, 267, 596, 1223, 2119, 547, 3514, 513, 5276, 2078, 1384, 312, 815, 513, 1341, 536, 311, 692, 1103, 713, 5276, 2078, 267, 513, 568, 519, 18448, 543, 536, 568, 519, 9386, 269, 1411, 1223, 1175, 3750, 4252, 519, 1239, 543, 2119, 547, 2721, 519, 1899, 540, 1655, 3514, 269, 17968, 267, 596, 666, 3514, 519, 1899, 676, 7446, 513, 543, 536, 2687, 547, 519, 6310, 4542, 1634, 607, 513, 9695, 1899, 269, 1677, 12446, 693, 519, 4542, 585, 513, 9695, 1899, 267, 798, 519, 1739, 780, 272, 269, 6056, 540, 1142, 8343, 607, 513, 6292, 1535, 328, 543, 586, 328, 780, 273, 269, 16294, 586, 317, 328, 607, 519, 834, 7257, 1540, 1871, 257, 3160, 547, 513, 1341, 536, 3495, 780, 274, 269, 16294, 519, 15895, 552, 328, 607, 519, 3017, 1063, 586, 328, 543, 586, 317, 328, 692, 275, 269, 7994, 4164, 11596, 513, 543, 536, 547, 7413, 519, 2040, 540, 519, 16302, 15895, 338, 267, 602, 568, 547, 7413, 1530, 328, 273, 780, 21296, 22953, 692, 2171, 666, 12446, 693, 2789, 9695, 676, 4657, 1900, 1079, 538, 519, 1184, 547, 835, 602, 2636, 2789, 4830, 4632, 269, 2334, 568, 10484, 273, 269, 2913, 586, 317, 328, 815, 513, 1341, 536, 272, 343, 272, 328, 1341, 536, 273, 343, 273, 328, 1341, 27250, 4415, 2789, 9695, 972, 568, 1869, 1152, 835, 18448, 267, 513, 267, 855, 972, 616, 2789, 9386, 14170, 269, 17266, 9695, 568, 4443, 547, 1397, 593, 513, 1079, 8820, 3113, 269, 17266, 9695, 568, 4443, 547, 12337, 1210, 513, 9498, 630, 24392, 621, 4991, 7168, 28457, 748, 609, 811, 982, 827, 476, 1015, 7422, 1040, 1717, 267, 538, 2259, 267, 2789, 9695, 568, 1031, 811, 1419, 982, 2582, 9695, 267, 1317, 538, 2259, 972, 2356, 616, 2789, 2188, 3238, 538, 10230, 3347, 269, 2659, 1433, 1281, 711, 3382, 2789, 9695, 267, 865, 594, 786, 8263, 602, 621, 786, 711, 2097, 909, 593, 519, 6673, 981, 780, 763, 25355, 20556, 692, 2690, 1312, 2582, 543, 2789, 9695, 267, 972, 568, 513, 2078, 1851, 519, 4890, 2418, 585, 962, 267, 519, 19034, 2418, 267, 543, 519, 15895, 338, 269, 594, 1289, 713, 519, 25355, 2078, 1384, 306, 344, 328, 273, 815, 5204, 317, 328, 273, 1341, 1530, 328, 273, 692, 6546, 568, 267, 596, 666, 1589, 540, 519, 19034, 2418, 543, 519, 15895, 338, 607, 13902, 547, 835, 1776, 267, 609, 519, 4890, 2418, 607, 513, 30494, 269, 1548, 519, 25355, 2078, 6645, 596, 568, 602, 519, 8390, 540, 519, 4890, 586, 781, 2141, 568, 3152, 982, 519, 8390, 540, 519, 19034, 586, 781, 269, 901, 3959, 540, 2539, 8390, 585, 519, 9695, 1899, 568, 835, 7664, 540, 519, 8360, 834, 2958, 1833, 547, 519, 1611, 3010, 3080, 18802, 689, 513, 9695, 568, 713, 5223, 267, 1572, 681, 273, 1384, 305, 273, 815, 5204, 317, 328, 273, 13478, 344, 328, 273, 692, 2171, 666, 1294, 689, 519, 25355, 2078, 602, 713, 5223, 666, 2760, 581, 3152, 982, 835, 269, 634, 6251, 621, 568, 547, 835, 267, 519, 4130, 519, 15895, 338, 543, 519, 1732, 519, 3514, 540, 519, 9695, 1899, 780, 2252, 649, 1491, 519, 4009, 3597 ]

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

[ 1326, 519, 968, 3061, 687, 9232, 540, 1565, 3077, 1893, 16064, 9232, 3079, 540, 968, 535, 9232, 3738, 513, 594, 1862, 1975, 3166, 7304, 788, 564, 819, 799, 568, 1419, 512, 719, 539, 607, 519, 1034, 1271, 3652, 543, 741, 17756, 543, 4487, 8231, 538, 1862, 15232, 540, 4974, 267, 855, 594, 1179, 3634, 6267, 1174, 875, 547, 946, 543, 1421, 12896, 3901, 1731, 522, 1457, 689, 5580, 19444, 630, 589, 273, 3738, 547, 2539, 13591, 630, 645, 272, 3738, 4436, 972, 941, 538, 269, 1280, 1893, 6267, 1174, 875, 547, 946, 519, 1863, 1323, 7288, 16158, 15222, 1436, 3028, 547, 1832, 6486, 1862, 2659, 5961, 538, 519, 4845, 1644, 547, 606, 3390, 1657, 6902, 621, 568, 2523, 3730, 585, 1893, 6863, 1565, 23511, 13206, 5979, 267, 3110, 20393, 267, 3110, 5055, 3092, 946, 621, 811, 1419, 2221, 267, 621, 3833, 1419, 23511, 9218, 6902, 513, 8239, 1433, 786, 2285, 596, 513, 1232, 1836, 4396, 3490, 538, 824, 269, 1703, 941, 6959, 538, 1250, 6486, 707, 17927, 3738, 3773, 883, 1323, 7288, 3085, 1862, 13823, 1027, 676, 835, 540, 519, 23698, 1317, 865, 1082, 540, 721, 723, 1044, 911, 15436, 1242, 676, 547, 269, 23433, 9647, 2762, 4636, 267, 621, 1869, 4667, 899, 519, 968, 3061, 687, 9232, 1565, 256, 1677, 1323, 7288, 267, 596, 786, 581, 2111, 547, 3180, 513, 6643, 609, 4436, 2807, 634, 6101, 27119, 13737, 538, 2104, 2665, 952, 596, 917, 875, 519, 1964, 540, 519, 23698, 1317, 865, 1082, 721, 256, 4438, 606, 4890, 6643, 1101, 476, 273, 4374, 1282, 1101, 2185, 3108, 594, 6026, 4223, 515, 342, 1413, 4464, 547, 9750, 1250, 1565, 563, 299, 16331, 590, 752, 527, 2098, 2106, 752, 531, 267, 9478, 781, 14134, 338, 12834, 267, 22868, 769, 623, 2176, 17625, 1280, 476, 1626, 5729, 6196, 338, 267, 769, 3733, 10326, 10370, 7879, 267, 24090, 19716, 476, 2735, 275, 670, 2692, 7665, 24793, 11261, 5384, 267, 7454, 3798, 332, 20128, 1518, 7591, 29812, 476, 1708, 271, 267, 19478, 18264, 22761, 1280, 5664, 3427, 4841, 21584, 267, 623, 14040, 5510, 619, 4653, 14033, 2725, 267, 1937, 20321, 9502, 6426, 267, 6682, 6577, 17510, 25890, 13555, 7089, 267, 0, 299, 550, 2812, 941, 835, 540, 519, 1101, 7031, 30042, 538, 713, 3148, 543, 713, 568, 2219, 547, 723, 7018, 28069, 1063, 476, 1724, 267, 1822, 1107, 476, 280, 267, 1822, 1296, 3516, 269, 2073, 30776, 568, 513, 1507, 12593, 799, 5161, 540, 519, 16916, 700, 269, 524, 6081, 30213, 543, 3670, 1644, 3552, 26908, 269, 1358, 616, 4749, 5916, 609, 7573, 267, 799, 814, 513, 2147, 5986, 942, 269, 681, 20600, 543, 4990, 519, 5452, 269, 30766, 2812, 616, 513, 1434, 2707, 540, 6171, 645, 272, 630, 628, 3554, 710, 1070, 645, 280, 630, 9110, 622, 1070, 4401, 267, 16903, 543, 13058, 269, 1358, 616, 849, 1031, 607, 8631, 532, 538, 546, 531, 1612, 987, 553, 543, 1625, 328, 585, 14254, 610, 16152, 269, 21378, 529, 2913, 779, 979, 936, 930, 540, 1346, 1631, 256, 476, 30766, 2812, 1332, 1134, 896, 1970, 13226, 3403, 2175, 267, 4352, 16903, 267, 9436, 267, 11379, 267, 543, 16247, 949, 581, 1031, 585, 8770, 1790, 3233, 11934, 907, 30766, 2812, 616, 606, 1561, 15344, 7693, 267, 2495, 789, 723, 513, 3099, 540, 2298, 2157, 543, 666, 581, 4824, 609, 13226, 269, 631, 2426, 10365, 543, 21378, 2812, 616, 2653, 547, 17708, 339, 538, 30660, 543, 666, 581, 11751, 538, 1034, 2706, 5658, 1115, 543, 1072, 15945, 269, 9737, 519, 1114, 1644, 2249, 10316, 5314, 7496, 2291, 269, 6258, 875, 543, 950, 547, 4894, 713, 10959, 5048, 267, 834, 303, 3174, 540, 21378, 2812, 538, 476, 1001, 279, 282, 15867, 1186, 270, 13328, 3204, 687, 18025, 3174, 10829, 640, 689, 4584, 8638, 2580, 834, 19859, 560, 4450, 540, 21378, 559, 5452, 630, 299, 839, 524, 6081, 30213, 264, 2580, 834, 17359, 7797, 630, 5472, 715, 19153, 2567, 476, 8182, 7597, 267, 30766, 2812, 267, 6151, 2580, 834, 299, 550, 2812, 267, 9921, 5452, 267, 11273, 267, 23017, 267, 1510, 6070, 829, 476, 1911, 575, 2580, 30766, 2812, 1107, 13474, 13870, 267, 29283, 267, 1401, 7964, 267, 543, 7383, 338, 10803, 267, 4179, 2517, 523, 25769, 3820, 11320, 27651, 21703, 286, 27583, 284, 299, 550, 559, 261, 1245, 573, 284, 4200, 278, 32146, 278, 3199, 267, 10374, 6609, 568, 1114, 689, 22816, 573, 1092, 267, 15080, 17596, 3606, 8100, 689, 5239, 476, 1001, 276, 267, 2353, 4930, 17596, 3606, 8100, 267, 15080, 609, 5667, 712, 1027, 6898, 689, 5412, 476, 1001, 278, 267, 11300, 12780, 21922, 27691, 732, 2704, 833, 17821, 267, 623, 8500, 630, 3847, 1070, 3039, 267, 543, 2699, 630, 2431, 264, 21378, 2812, 267, 595, 2643, 785, 4592, 1602, 1756, 6978, 5544, 543, 6565, 666, 12027, 267, 16549, 3233, 13005, 531, 630, 684, 9917, 961, 539, 21378, 2812, 609, 513, 6960, 6079, 10359, 543, 606, 10538, 268, 1042, 28422, 344, 1194, 517, 1070, 4414, 12751, 630, 2775, 16009, 6079, 10359, 543, 2699, 28422, 344, 1194, 517, 1070, 30179, 518, 781, 281, 513, 1804, 6960, 21378, 559, 799, 568, 1419, 2808, 519, 834, 10585, 257, 21378, 559, 538, 519, 2136, 2276, 267, 700, 1515, 323, 281, 519, 5010, 3044, 585, 1804, 3039, 21378, 2812, 538, 7262, 4516, 269, 4855, 856, 875, 547, 1332, 707, 1378, 17708, 1154, 10365, 267, 2630, 269, 30766, 2812, 616, 1743, 2683, 538, 9343, 3670, 547, 5722, 6279, 6306, 269, 2073, 634, 2136, 2276, 729, 519, 3791, 6122, 8172, 2197, 585, 21378, 559, 2504, 538, 476, 1001, 279, 267, 609, 519, 6022, 1787, 3148, 540, 9456, 6115, 543, 519, 27924, 3443, 8518, 548, 607, 519, 1034, 11327, 1533, 4525, 269, 12989, 568, 513, 1592, 540, 519, 1034, 1455, 21378, 559, 3676, 269, 29733, 17755, 2465, 267, 834, 4002, 5253, 543, 18181, 2580, 476, 1220, 275, 9990, 267, 2480, 1026, 2996, 269, 623, 8500, 30766, 2812, 616, 6738, 538, 15417, 3037, 267, 4646, 676, 15027, 23419, 267, 540, 623, 8500, 10276, 13305, 601, 599, 538, 3162, 4639, 5333, 543, 616, 6870, 538, 519, 3864, 5742, 676, 513, 13363, 539, 5071, 566, 540, 18882, 630, 11520, 302, 264, 543, 538, 5333, 607, 606, 813, 749, 566, 546, 262, 10594, 710, 733, 337, 20110, 331, 19902, 630, 288, 8016, 1040, 1358, 2811, 849, 14095, 609, 31833, 267, 4401, 267, 16903, 267, 11379, 543, 6775, 269, 30766, 559, 7031, 616, 26815, 11259, 547, 10980, 543, 1164, 2837, 543, 1332, 1134, 538, 32527, 520, 3832, 9774, 267, 6923, 25579, 5109, 519, 3037, 609, 5567, 269, 1703, 616, 513, 1297, 540, 8677, 540, 21378, 2812, 543, 891, 2097, 538, 1114, 4778, 971, 607, 5835, 267, 2699, 267, 10538, 267, 6960, 543, 3109, 269, 5192, 5452, 610, 3819, 21378, 2812, 269, 30766, 2812, 616, 849, 1031, 538, 1082, 6237, 8677, 540, 26265, 269, 11531, 1250, 21378, 559, 19997, 630, 1729, 3049, 476, 2568, 264, 568, 8949, 630, 628, 3471, 547, 10906, 945, 17408, 8898, 519, 11600, 264, 543, 594, 723, 2943, 547, 1118, 519, 546, 531, 585, 14182, 269, 30766, 2812, 616, 4122, 13881, 538, 18629, 538, 513, 12403, 6438, 8670, 1572, 737, 1731, 267, 610, 737, 1731, 530, 582, 267, 835, 540, 519, 8286, 1004, 3548, 609, 18629, 781, 3084, 1426, 267, 3614, 5028, 6366, 30103, 269, 30766, 559, 2030, 269, 30766, 2812, 2270, 519, 25558, 523, 6950, 267, 561, 1393, 514, 543, 18410, 1314, 13183, 514, 267, 543, 4874, 12584, 18260, 9761, 7408, 269, 634, 5452, 1058, 581, 521, 1144, 476, 274, 547, 476, 275, 1298, 22015, 637, 630, 272, 476, 272, 22397, 482, 275, 547, 476, 272, 476, 272, 22397, 482, 273, 538, 264, 2620, 269, 898, 568, 849, 1271, 602, 519, 3037, 568, 1500, 2003, 762, 543, 18290, 6954, 865, 602, 694, 5338, 1223, 581, 2944, 693, 513, 7833, 3178, 269, 769, 4237, 12147, 2964, 1242, 2477, 267, 21378, 2812, 616, 12630, 1210, 10286, 24200, 267, 855, 1082, 824, 2127, 1869, 1688, 13739, 269, 19663, 21378, 2812, 693, 1753, 568, 11207, 2009, 269, 2672, 1243, 547, 519, 2481, 704, 267, 16830, 16374, 540, 891, 4525, 267, 21378, 2812, 616, 5097, 1163, 528, 2507, 9537, 666, 581, 9286, 2687, 547, 741, 2450, 267, 2436, 789, 616, 8237, 610, 2898, 267, 610, 7387, 539, 610, 5667, 17850, 539, 269, 7324, 519, 1114, 26908, 540, 3552, 21378, 2812, 267, 700, 269, 7259, 23653, 568, 2808, 547, 581, 519, 28738, 3218, 540, 519, 16916, 21378, 559, 543, 568, 1631, 3622, 9286, 607, 700, 269, 524, 6081, 30213, 1016, 4944, 269, 30766, 559, 8286, 616, 1034, 7839, 2429, 3162, 5607, 267, 519, 11335, 4525, 543, 4639, 5607, 269, 4826, 30766, 2812, 4826, 21378, 2812, 616, 1507, 267, 15496, 2371, 602, 10581, 593, 519, 2627, 540, 4195, 1216, 269, 14117, 21378, 2812, 616, 1031, 547, 1118, 513, 1875, 17898, 5390, 12403, 267, 799, 568, 835, 540, 519, 1101, 4396, 3536, 15337, 1014, 2021, 3049, 741, 9002, 269, 23268, 25151, 666, 2039, 689, 1769, 3039, 547, 2620, 13711, 267, 607, 1134, 607, 1373, 16009, 267, 15454, 267, 6960, 267, 3109, 610, 2138, 339, 1194, 269, 5901, 12015, 21378, 2812, 538, 513, 20220, 610, 5068, 8708, 267, 23295, 835, 602, 568, 2011, 31259, 269, 1358, 616, 14095, 609, 3940, 543, 8192, 6775, 267, 543, 616, 1419, 5156, 513, 968, 27273, 25988, 6100, 769, 3345, 3013, 1454, 540, 519, 23505, 720, 568, 538, 9456, 6115, 267, 7187, 27924, 267, 543, 7262, 4516, 1141, 5671, 518, 3395, 4005, 2175, 7173, 841, 269, 30766, 2812, 666, 581, 13881, 865, 8898, 267, 10351, 3990, 267, 22304, 267, 19323, 610, 23017, 1107, 519, 1034, 1455, 7041, 1505, 269, 634, 15496, 5956, 689, 519, 1970, 25958, 19512, 543, 7930, 7575, 16057, 267, 865, 10777, 1035, 1886, 13926, 15496, 269, 2311, 519, 1439, 540, 519, 2034, 1554, 543, 593, 519, 3791, 1554, 1310, 519, 6679, 540, 519, 5810, 267, 789, 2673, 4625, 543, 519, 7990, 5956, 547, 28201, 269, 4935, 267, 4573, 10402, 8412, 568, 2629, 547, 1711, 1007, 543, 14909, 8677, 269, 19676, 543, 21378, 2812, 616, 849, 11273, 1927, 538, 737, 327, 747, 10972, 267, 513, 2442, 8670, 538, 519, 4095, 1016, 29657, 630, 19328, 543, 9031, 5148, 513, 2147, 8670, 267, 737, 2313, 926, 267, 1500, 538, 5527, 267, 568, 2808, 835, 540, 1079, 3084, 8286, 269, 634, 10540, 338, 616, 1073, 14075, 267, 5594, 1102, 3836, 267, 543, 827, 476, 272, 269, 276, 1298, 22015, 637, 630, 276, 22397, 482, 279, 538, 264, 1279, 269, 4475, 267, 519, 12593, 30776, 13408, 5722, 26908, 538, 3670, 2249, 281, 267, 30766, 559, 568, 3834, 334, 29701, 267, 799, 1797, 519, 28422, 344, 1194, 976, 540, 519, 10351, 3215, 6079, 3251, 538, 519, 2666, 543, 3330, 519, 6079, 10359, 269, 0, 12892, 1983, 543, 3069, 540, 2247, 630, 2414, 300, 264, 616, 1079, 540, 519, 1034, 1271, 21876, 540, 1514, 16169, 538, 1453, 609, 10295, 8552, 4524, 630, 32359, 282, 31578, 15801, 1156, 1696, 620, 563, 2735, 276, 1040, 10251, 267, 1453, 609, 20284, 1397, 16607, 1646, 543, 15717, 538, 1312, 11890, 630, 289, 16336, 15801, 1156, 1696, 620, 563, 2735, 276, 1040, 30975, 609, 1514, 3346, 568, 835, 540, 519, 10368, 7355, 585, 20284, 267, 543, 585, 1082, 1296, 267, 513, 16607, 1677, 300, 729, 2808, 519, 2601, 1946, 1453, 609, 20284, 2919, 3908, 1514, 3347, 543, 729, 9833, 607, 606, 1898, 4183, 540, 10295, 630, 289, 16336, 15801, 1156, 1696, 620, 563, 2735, 276, 282, 15776, 12340, 543, 2605, 603, 454, 2735, 279, 1040, 769, 2487, 960, 593, 26003, 1944, 1606, 2448, 1944, 630, 292, 1700, 306, 264, 3069, 267, 31578, 15801, 1156, 27210, 1001, 275, 264, 15091, 602, 2042, 609, 1514, 3346, 543, 2792, 1851, 7606, 609, 20284, 616, 3361, 676, 17799, 538, 1646, 540, 6568, 269, 7869, 540, 2247, 568, 513, 5042, 5057, 540, 6568, 267, 606, 2702, 547, 1174, 2790, 2829, 540, 824, 1004, 269, 1717, 267, 6568, 568, 711, 1152, 513, 2339, 540, 1620, 1866, 685, 4606, 267, 855, 849, 606, 2702, 547, 2746, 5265, 538, 1114, 1514, 3871, 267, 799, 568, 1572, 2048, 655, 10899, 6568, 685, 630, 289, 16336, 15801, 1156, 454, 1001, 275, 282, 717, 17311, 1696, 620, 563, 1001, 275, 1040, 4475, 267, 6568, 543, 1677, 300, 616, 1419, 6098, 538, 7459, 547, 2087, 1514, 1983, 1851, 1453, 609, 20284, 269, 10251, 267, 4352, 7459, 6322, 693, 3384, 1677, 300, 2087, 2773, 593, 6101, 1677, 300, 4247, 789, 723, 711, 1044, 3254, 547, 2087, 1483, 1620, 540, 824, 1004, 267, 610, 547, 3310, 519, 1514, 8647, 540 ]

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

[ 0, 14157, 269, 476, 7597, 267, 3143, 269, 476, 273, 630, 1708, 271, 994, 1103, 2487, 1296, 267, 676, 10962, 30490, 23223, 1218, 883, 27772, 2339, 1949, 267, 1007, 11775, 540, 544, 831, 616, 7000, 269, 2986, 891, 1007, 11775, 267, 519, 30490, 1202, 15975, 267, 30490, 5033, 574, 13926, 543, 30490, 21367, 528, 616, 519, 1034, 1271, 269, 1358, 616, 1572, 30490, 2326, 1813, 547, 1875, 13700, 20190, 30490, 6724, 269, 5440, 1670, 21367, 832, 3180, 11683, 3570, 4642, 12331, 693, 519, 8728, 267, 17598, 1875, 268, 8475, 1014, 7194, 267, 799, 2306, 873, 2101, 11134, 585, 16734, 30490, 7061, 19106, 269, 14755, 3695, 17271, 30490, 21367, 528, 267, 513, 9621, 1259, 547, 8275, 30490, 21367, 528, 568, 547, 16578, 21367, 2032, 883, 824, 5686, 540, 30490, 2326, 269, 5455, 547, 1631, 267, 8097, 1235, 723, 2919, 930, 2553, 267, 971, 607, 575, 908, 267, 546, 14563, 267, 1164, 2604, 267, 8818, 1198, 543, 2182, 1448, 3346, 547, 6338, 21367, 2032, 883, 1585, 30490, 2326, 267, 543, 849, 789, 723, 6594, 519, 30490, 3601, 540, 519, 13251, 21367, 2032, 269, 769, 713, 2689, 267, 649, 17412, 519, 11347, 29622, 593, 17271, 30490, 21367, 528, 10457, 543, 13251, 21367, 8481, 538, 30490, 1202, 22399, 543, 5033, 22015, 1023, 269, 634, 5383, 543, 11393, 540, 1114, 2553, 616, 5941, 269, 14755, 267, 519, 1761, 20209, 1878, 540, 30490, 21367, 832, 616, 9916, 269, 769, 519, 1439, 267, 519, 19773, 540, 713, 8362, 22002, 1382, 2361, 568, 2016, 563, 11900, 17508, 540, 32060, 538, 30305, 1570, 585, 519, 7271, 1353, 540, 1896, 17027, 2238, 454, 1708, 271, 267, 476, 7597, 630, 273, 2567, 476, 271, 2918, 6200, 269, 8222, 281, 476, 1015, 269, 278, 5392, 279, 270, 2355, 269, 7597, 269, 1001, 3445, 272, 2420, 454, 1103, 713, 960, 267, 649, 15974, 513, 8471, 1505, 540, 8600, 23743, 548, 3889, 538, 30305, 14848, 267, 799, 2488, 513, 1434, 2203, 585, 4974, 519, 2168, 3601, 540, 30305, 2326, 896, 8833, 269, 2859, 11932, 267, 972, 616, 930, 10486, 1063, 23743, 548, 4702, 543, 17027, 2238, 267, 799, 26182, 721, 547, 2285, 930, 2009, 3137, 547, 519, 7271, 585, 17027, 2238, 899, 13091, 543, 15027, 269, 634, 23743, 548, 3889, 540, 30305, 14848, 666, 581, 6913, 676, 11851, 532, 796, 807, 343, 658, 610, 536, 807, 343, 658, 2566, 593, 519, 8465, 14041, 267, 799, 568, 1360, 2147, 547, 519, 30305, 2497, 540, 519, 3047, 543, 519, 5250, 540, 7823, 26642, 593, 519, 3047, 781, 2627, 269, 4595, 519, 3047, 814, 606, 19514, 2527, 3892, 543, 1582, 268, 8527, 566, 607, 1134, 267, 519, 8090, 540, 24880, 585, 10824, 616, 1114, 689, 1142, 824, 269, 3371, 538, 713, 960, 267, 649, 1448, 856, 602, 972, 568, 513, 3017, 538, 16070, 6991, 1063, 519, 5087, 21571, 543, 5045, 21571, 267, 799, 949, 9244, 3310, 519, 27177, 543, 20569, 2238, 2282, 519, 20337, 269, 901, 960, 2488, 513, 2009, 7271, 7778, 585, 1896, 17027, 9259, 971, 607, 16767, 267, 22747, 267, 543, 18626, 20847, 269, 9122, 593, 3624, 781, 2027, 27177, 267, 649, 15974, 513, 2339, 2095, 8367, 543, 1865, 519, 10066, 540, 2339, 2095, 538, 1469, 269, 1284, 1448, 856, 602, 519, 17027, 2534, 7271, 538, 3624, 543, 519, 4525, 1472, 6676, 6302, 568, 3833, 1114, 269, 634, 2339, 2095, 8367, 666, 581, 1134, 4294, 547, 2491, 519, 3123, 540, 13091, 12469, 538, 3624, 267, 519, 3892, 540, 7777, 2200, 267, 543, 519, 2009, 3123, 540, 3282, 538, 519, 5664, 5101, 2477, 269, 14755, 267, 621, 849, 2488, 513, 1007, 7811, 5583, 585, 17782, 519, 13091, 12469, 543, 19175, 532, 519, 7777, 2200, 538, 3624, 269, 901, 960, 2488, 513, 1007, 2856, 585, 3425, 547, 2057, 2067, 12469, 267, 547, 1174, 519, 2067, 9259, 593, 519, 3047, 267, 543, 547, 1118, 7787, 946, 540, 2067, 2200, 563, 1708, 271, 267, 476, 7597, 630, 273, 2567, 476, 271, 2767, 26341, 269, 8222, 281, 476, 1015, 269, 278, 5392, 279, 270, 2355, 269, 7597, 269, 1001, 280, 1626, 4649, 454, 763, 6671, 6419, 19280, 3631, 267, 5385, 5872, 267, 2706, 7721, 4219, 630, 10345, 264, 5872, 543, 5595, 5385, 630, 14701, 264, 5872, 3631, 11341, 547, 519, 32447, 6475, 2497, 538, 519, 2326, 267, 941, 6069, 827, 538, 610, 1354, 519, 476, 4198, 271, 781, 267, 519, 942, 950, 972, 729, 2370, 8097, 2963, 269, 4595, 519, 476, 3192, 271, 781, 267, 811, 543, 811, 8097, 2164, 585, 519, 32447, 6475, 2829, 723, 1044, 4080, 269, 1452, 8097, 2164, 6700, 602, 519, 6671, 6419, 19280, 3631, 991, 5355, 269, 1775, 264, 3509, 8097, 2164, 267, 1519, 519, 6475, 1648, 2000, 1601, 26034, 630, 292, 30600, 1070, 2473, 11920, 10338, 26034, 630, 311, 3008, 1070, 543, 2473, 11920, 2584, 29741, 1258, 26034, 630, 311, 4916, 1070, 5815, 602, 972, 616, 744, 1700, 606, 687, 538, 1840, 547, 744, 273, 1700, 606, 687, 538, 27911, 267, 543, 602, 519, 6871, 540, 744, 1700, 606, 687, 949, 3914, 476, 1789, 260, 610, 811, 269, 901, 5267, 602, 519, 10323, 2203, 543, 16692, 2203, 1312, 991, 547, 5355, 267, 538, 799, 782, 5135, 606, 687, 616, 10924, 547, 581, 744, 273, 1700, 606, 687, 269, 13797, 264, 11153, 8097, 2164, 267, 1519, 18325, 5982, 32250, 267, 2473, 3008, 543, 6419, 9764, 27524, 549, 1143, 26034, 630, 311, 300, 7374, 1070, 2303, 602, 851, 540, 476, 275, 338, 9211, 4283, 883, 476, 274, 323, 25057, 543, 18302, 883, 519, 476, 274, 323, 9211, 538, 519, 1184, 540, 8108, 8407, 689, 1863, 8444, 269, 634, 1198, 540, 519, 20771, 6419, 4090, 593, 519, 6419, 4090, 540, 513, 13557, 4496, 568, 2484, 4130, 982, 519, 8095, 6419, 8090, 269, 1452, 1683, 519, 2963, 540, 3695, 519, 6935, 1063, 6419, 4090, 543, 5122, 5706, 2032, 540, 519, 6419, 4496, 269, 25831, 264, 4635, 5860, 1599, 3069, 630, 5263, 307, 264, 547, 3514, 2168, 3601, 11729, 7899, 540, 2164, 585, 1082, 2326, 267, 855, 972, 2291, 3978, 7965, 585, 6419, 2326, 269, 901, 568, 1813, 547, 6419, 19280, 1648, 568, 3769, 538, 519, 5385, 9756, 1648, 267, 799, 814, 1044, 1265, 1100, 5039, 1670, 4082, 865, 2484, 267, 543, 814, 547, 581, 19034, 1210, 1585, 3631, 538, 667, 10499, 9819, 269, 1452, 13753, 1683, 606, 4316, 547, 2087, 6419, 19280, 3631, 269, 4475, 267, 938, 1895, 6069, 1614, 3631, 540, 6419, 19280, 538, 6093, 6419, 2326, 267, 789, 1519, 606, 744, 476, 273, 335, 621, 10719, 656, 6475, 2203, 585, 6419, 27911, 630, 23966, 302, 2203, 1070, 513, 1007, 621, 10719, 656, 6475, 2203, 585, 6419, 4496, 630, 296, 4932, 2203, 1070, 543, 513, 1284, 1170, 6475, 6292, 630, 310, 7968, 264, 2203, 585, 519, 5169, 540, 6419, 19280, 1648, 269, 1234, 680, 5217, 519, 10323, 2203, 543, 16692, 2203, 609, 519, 594, 292, 302, 2203, 267, 519, 6419, 3889, 540, 3213, 267, 15281, 267, 19923, 17585, 539, 8095, 601, 7542, 27866, 607, 1134, 607, 9197, 543, 23621, 17585, 539, 8095, 601, 7542, 27866, 666, 581, 6045, 269, 634, 13829, 540, 519, 6419, 4090, 593, 519, 29447, 1543, 538, 829, 990, 12921, 924, 22200, 2572, 5487, 272, 1700, 343, 306, 337, 343, 300, 333, 302, 274, 666, 849, 581, 6045, 267, 585, 799, 972, 723, 1044, 1082, 5571, 13882, 827, 519, 524, 566, 14778, 269, 2060, 519, 594, 4932, 2203, 267, 649, 666, 2491, 12007, 569, 519, 6935, 540, 519, 6419, 4090, 609, 519, 759, 6638, 585, 1142, 540, 3171, 267, 3213, 267, 15281, 267, 19923, 8407, 267, 543, 3514, 519, 14258, 540, 519, 5706, 2032, 540, 15281, 290, 340, 18585, 8957, 1449, 2837, 543, 519, 19923, 17585, 539, 1377, 269, 2060, 519, 654, 7968, 2203, 267, 649, 666, 2491, 1946, 3171, 267, 3213, 267, 15281, 4496, 267, 15281, 290, 340, 23212, 267, 3171, 274, 302, 275, 543, 5487, 271, 269, 278, 306, 337, 271, 269, 274, 300, 333, 302, 274, 27911, 723, 1114, 4354, 773, 2837, 2418, 269, 634, 1007, 621, 10719, 656, 6475, 2203, 568, 1114, 689, 519, 8106, 2203, 538, 519, 1739, 1614, 10026, 4162, 269, 3689, 267, 519, 521, 9211, 538, 1863, 476, 274, 323, 5912, 4496, 8444, 616, 5258, 883, 1079, 2694, 950, 789, 1106, 513, 4496, 610, 18585, 269, 2290, 851, 540, 891, 521, 9211, 4283, 883, 519, 546, 25057, 543, 1689, 883, 519, 546, 9211, 269, 543, 519, 824, 851, 540, 1346, 9211, 616, 519, 1863, 9211, 799, 616, 1100, 3476, 1572, 519, 521, 9211, 269, 5822, 267, 1152, 519, 546, 9211, 30939, 519, 9018, 10739, 540, 606, 9357, 4295, 538, 513, 4496, 610, 18585, 949, 1106, 621, 10719, 656, 9211, 609, 513, 1978, 5506, 267, 1247, 519, 6967, 546, 9211, 616, 2199, 9211, 269, 12059, 267, 2436, 538, 513, 6419, 4496, 610, 538, 513, 6419, 12547, 267, 519, 5912, 540, 519, 621, 10719, 656, 9211, 568, 519, 8095, 17466, 5912, 2630, 519, 4354, 773, 2837, 267, 543, 519, 5912, 5506, 11081, 609, 1449, 2837, 2810, 269, 634, 5912, 540, 519, 621, 10719, 656, 9211, 7140, 883, 519, 8095, 23949, 8817, 5912, 950, 519, 2837, 568, 1657, 519, 4354, 773, 2837, 269, 769, 713, 1957, 267, 1101, 267, 649, 6338, 1896, 6093, 8097, 2164, 540, 519, 32447, 6475, 2829, 269, 3973, 267, 649, 1459, 519, 1007, 6419, 19280, 3631, 6069, 676, 938, 1895, 543, 5659, 519, 10026, 3604, 1063, 519, 1007, 3631, 543, 519, 6671, 3631, 269, 7053, 267, 649, 1448, 856, 519, 4161, 547, 519, 2104, 960, 563, 22860, 3749, 3070, 540, 1614, 8820, 22263, 2981, 4908, 8552, 585, 1614, 7400, 11379, 10570, 3154, 454, 1708, 271, 267, 476, 7597, 630, 273, 2567, 476, 22903, 1001, 269, 8222, 281, 476, 1015, 269, 278, 5392, 279, 270, 2355, 269, 7597, 269, 1001, 3445, 280, 5038, 454, 4415, 519, 1646, 540, 8955, 2029, 538, 519, 2361, 540, 25852, 267, 16600, 1922, 770, 25852, 814, 1831, 606, 1271, 1382, 2361, 269, 22702, 609, 519, 2757, 2029, 267, 16600, 9724, 25852, 666, 581, 7691, 711, 1152, 896, 10156, 13942, 1599, 267, 855, 849, 593, 513, 4130, 4336, 267, 799, 666, 811, 3533, 2992, 519, 6422, 1184, 269, 1284, 1459, 606, 10763, 9819, 540, 519, 2407, 1614, 8820, 630, 274, 291, 264, 17396, 8552, 609, 513, 13113, 8653, 1079, 8820, 630, 273, 291, 264, 21714, 13942, 23508, 269, 3776, 4358, 1448, 568, 519, 3070, 540, 519, 9804, 2349, 5255, 4834, 585, 1614, 7400, 11379, 10570, 3154, 538, 519, 476, 274, 291, 942, 6389, 676, 1210, 519, 16879, 1606, 331, 823, 11532, 267, 5470, 1599, 543, 22263, 6879, 3424, 11532, 540, 476, 274, 291, 22263, 2981, 269, 1452, 3741, 616, 1031, 547, 5173, 543, 14458, 519, 3791, 19195, 26445, 3830, 6383, 676, 519, 3926, 267, 543, 519, 10763, 9819, 540, 1614, 8820, 22263, 2981, 4908, 8552, 693, 570, 815, 476, 271, 568, 5833, 269, 1284, 18082, 519, 25107, 3070, 676, 1210, 6128, 3301, 269, 1635, 9236, 519, 13502, 609, 519, 8097, 2164, 267, 609, 519, 24267, 1899, 2914, 5954, 6378, 267, 649, 666, 3489, 519, 2078, 1851, 519, 538, 3620, 558, 15119, 3376, 2287, 267, 519, 9756, 15497, 14170, 543, 519, 1614, 8820, 8552, 4162, 267, 799, 666, 581, 4857, 11050, 569, 676, 17501, 519, 21100, 540, 1614, 8820, 22263, 2981, 8552, 19589, 538, 606, 3617, 4287, 269, 634, 2164, 1397, 602, 519, 1614, 8820, 22263, 2981, 8552, 786, 8831, 2059, 519, 15497, 4287, 609, 519, 2810, 540, 519, 538, 3620, 558, 15119, 3376, 2287, 267, 543, 519, 4715, 5766, 1090, 24482, 3587, 513, 5858, 609, 519, 2810, 540, 519, 15497, 9756, 11664, 267, 543, 519, 17931, 849, 7930, 7140, 4130, 269, 4340, 547, 519, 10763, 3070, 267, 649, 2285, 513, 2347, 1079, 8820, 8552, 540, 519, 570, 815, 476, 271, 8818, 269, 634, 2164, 666, 581, 3514, 547, 519, 8097, 476, 274, 291, 17396, 8552, 585, 17062, 11375, 558, 23189, 563, 10521, 8820, 5951, 3830, 12193, 676, 20902, 20367, 13441, 1759, 2199, 19944, 6681, 8895, 518, 7219, 1505, 454, 1708, 271, 267, 476, 7597, 630, 273, 2567, 476, 22903, 1708, 269, 8222, 281, 476, 1015, 269, 278, 5392, 279, 270, 2355, 269, 7597, 269, 1001, 3445, 277, 1724, 454, 763, 5951, 18640, 568, 1419, 5645, 856, 538, 1950, 17027, 3889, 269, 14572, 519, 5951, 18640, 1966, 3927, 538, 11375, 558, 15119, 5420, 568, 540, 1390, 1719, 543, 814, 1082, 3156, 538, 6323, 543, 4702, 269, 769, 713, 1957, 267, 519, 2199, 19944, 6681, 717, 1446, 7219, 630, 17162, 294, 264, 1505, 568, 4294, 547, 519, 10230, 3070, 540, 519, 2034, 19195 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 320, 25507, 9272, 31156, 604, 513, 285, 272, 912, 825, 585, 1775, 538, 2039, 630, 273, 28083, 2187, 1038, 1820, 9217, 994, 1038, 952, 630, 320, 4939, 1775, 264, 2525, 271, 912, 27030, 2018, 1820, 2891, 321, 4157, 534, 5602, 2018, 2736, 454, 1038, 3116, 912, 2018, 1820, 2891, 31843, 5602, 2018, 2736, 454, 2745, 2891, 13117, 2525, 284, 5602, 2745, 2891, 7224, 275, 5602, 321, 25507, 9272, 2891, 5733, 4157, 16988, 2587, 6390, 8442, 9239, 1721, 1775, 538, 2039, 630, 321, 2187, 825, 952, 1775, 260, 273, 2525, 271, 912, 1038, 1820, 9217, 994, 13872, 0, 2993, 815, 9131, 339, 12887, 324, 12887, 342, 12887, 327, 12887, 328, 12887, 321, 23300, 343, 815, 7003, 263, 2993, 994, 1721, 1775, 538, 2039, 630, 271, 21726, 2187, 825, 15073, 6910, 17347, 5157, 20285, 2745, 2891, 8266, 568, 2433, 14307, 2993, 9239, 1721, 1775, 538, 2039, 263, 271, 21726, 2187, 825, 585, 795, 538, 2039, 263, 271, 21726, 2187, 1038, 952, 15073, 5157, 316, 283, 2993, 14728, 14158, 2018, 10917, 815, 15073, 5157, 2639, 2018, 15073, 5157, 24557, 2993, 14728, 2639, 2018, 15073, 14728, 24557, 31184, 454, 329, 284, 3269, 692, 1721, 1775, 538, 2039, 263, 271, 21726, 2187, 825, 795, 815, 795, 266, 2993, 5157, 6540, 2745, 2891, 5475, 18570, 21642, 568, 2433, 14307, 329, 994, 0, 11907, 815, 11713, 329, 636, 331, 1695, 17342, 2639, 343, 25507, 9272, 3488, 332, 879, 10874, 23981, 737, 8932, 1412, 4917, 1721, 1775, 538, 2039, 630, 343, 2187, 825, 586, 25507, 9272, 3488, 5733, 4157, 16988, 606, 1375, 6390, 21583, 737, 6501, 3824, 1074, 534, 1412, 4917, 825, 1239, 6910, 12169, 994, 322, 926, 815, 703, 9272, 3488, 5733, 4157, 16988, 2587, 6390, 21583, 737, 6501, 524, 926, 1412, 4917, 1721, 1775, 538, 2039, 263, 271, 267, 6352, 16597, 15892, 825, 952, 524, 926, 2525, 11907, 5157, 14158, 1038, 1820, 9230, 322, 926, 1070, 262, 3385, 1019, 4994, 1183, 22207, 263, 328, 4917, 1038, 795, 636, 331, 1695, 6910, 6262, 926, 994, 825, 952, 524, 926, 256, 284, 11907, 5157, 14158, 1038, 1820, 3488, 339, 573, 752, 546, 14403, 4157, 534, 1019, 4994, 1183, 22207, 328, 994, 2745, 27203, 636, 331, 1695, 994, 2745, 3488, 329, 14508, 795, 636, 331, 1695, 2587, 6390, 3299, 322, 926, 10086, 21583, 521, 4821, 740, 320, 22207, 6352, 27203, 636, 331, 1695, 4297, 13872, 0, 288, 815, 3403, 9497, 5733, 4157, 16988, 562, 559, 2967, 589, 2433, 5602, 289, 815, 3403, 9497, 5733, 4157, 16988, 562, 559, 2967, 645, 2433, 5602, 290, 815, 703, 10490, 264, 2260, 842, 16360, 2020, 2745, 630, 290, 2020, 320, 815, 476, 274, 454, 321, 815, 476, 272, 454, 322, 815, 476, 273, 454, 323, 815, 476, 1321, 454, 324, 815, 476, 1015, 692, 293, 815, 263, 320, 16732, 321, 25239, 19422, 323, 3887, 260, 320, 11723, 2745, 630, 293, 994, 0, 5035, 918, 754, 4673, 534, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 6216, 2187, 1038, 1582, 14857, 333, 4821, 815, 2012, 454, 1038, 1582, 14857, 1067, 330, 815, 6216, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1305, 333, 4821, 4311, 2187, 1038, 1780, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1205, 333, 4821, 4311, 2187, 1038, 1780, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1305, 1067, 330, 4311, 2187, 1038, 1780, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1205, 1067, 330, 4311, 2187, 1038, 1780, 692, 825, 7711, 3553, 333, 4821, 15630, 614, 454, 825, 1219, 1305, 333, 4821, 4311, 267, 1871, 2187, 1038, 1582, 14857, 333, 4821, 815, 1871, 692, 825, 7711, 1326, 333, 4821, 10947, 614, 454, 825, 1219, 1205, 333, 4821, 4311, 2187, 1038, 2132, 1582, 14857, 333, 4821, 692, 825, 7711, 3553, 1067, 330, 15630, 614, 454, 825, 1219, 1305, 1067, 330, 4311, 267, 1871, 2187, 1038, 1582, 14857, 1067, 330, 815, 1871, 692, 825, 7711, 1326, 1067, 330, 10947, 614, 454, 825, 1219, 1205, 1067, 330, 4311, 2187, 1038, 2132, 1582, 14857, 1067, 330, 692, 5035, 22427, 1188, 263, 298, 754, 4673, 534, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 6216, 2073, 512, 2086, 2426, 267, 7333, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 4067, 267, 25912, 994, 1038, 1582, 14857, 1485, 520, 2086, 2426, 815, 512, 2086, 2426, 454, 1038, 1582, 14857, 549, 6767, 815, 7333, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2070, 4311, 2187, 1038, 2132, 834, 301, 4821, 815, 15079, 1422, 333, 29146, 8585, 330, 815, 15079, 1422, 333, 29146, 4303, 320, 570, 2086, 2426, 815, 15079, 1422, 333, 29146, 808, 636, 331, 1695, 14339, 320, 815, 15079, 834, 269, 8971, 4311, 10947, 333, 4821, 267, 1345, 10947, 1067, 330, 267, 1345, 10947, 1485, 520, 2086, 2426, 267, 1345, 10947, 549, 6767, 2020, 825, 7711, 27393, 1399, 454, 825, 1219, 1305, 1485, 520, 2086, 2426, 4311, 2187, 1038, 1780, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1205, 1485, 520, 2086, 2426, 4311, 2187, 1038, 1780, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1305, 549, 6767, 4311, 2187, 1038, 1780, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1205, 549, 6767, 4311, 2187, 1038, 1780, 692, 825, 7711, 3553, 1485, 520, 2086, 2426, 15630, 614, 454, 825, 1219, 1305, 1485, 520, 2086, 2426, 4311, 267, 1871, 2187, 1038, 1582, 14857, 1485, 520, 2086, 2426, 815, 1871, 692, 825, 7711, 1326, 1485, 520, 2086, 2426, 10947, 614, 454, 825, 1219, 1205, 1485, 520, 2086, 2426, 4311, 2187, 1038, 2132, 1582, 14857, 1485, 520, 2086, 2426, 692, 825, 7711, 3553, 549, 6767, 15630, 614, 454, 825, 1219, 1305, 549, 6767, 4311, 267, 1871, 2187, 1038, 1582, 14857, 549, 6767, 815, 1871, 692, 825, 7711, 1326, 549, 6767, 10947, 614, 454, 825, 1219, 1205, 549, 6767, 4311, 2187, 1038, 2132, 1582, 14857, 549, 6767, 692, 339, 30638, 272, 284, 307, 30638, 2891, 295, 3626, 14824, 339, 1195, 7974, 2580, 4968, 271, 267, 277, 994, 2745, 6025, 30638, 272, 269, 1613, 994, 2745, 2891, 13117, 7529, 4499, 2525, 5602, 339, 30638, 272, 15630, 333, 4821, 815, 3403, 2891, 300, 553, 4157, 16988, 562, 4821, 2150, 4157, 1019, 704, 8663, 14241, 815, 19515, 339, 30638, 272, 15630, 1067, 330, 815, 3403, 2891, 300, 553, 4157, 16988, 5789, 330, 2150, 4157, 1019, 704, 8663, 14241, 815, 19515, 339, 30638, 272, 15630, 1485, 520, 2086, 2426, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 1554, 320, 512, 2086, 2426, 2150, 4157, 1019, 704, 8663, 14241, 815, 27328, 339, 30638, 272, 15630, 549, 6767, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 808, 636, 331, 1695, 887, 6767, 2150, 4157, 1019, 704, 8663, 14241, 815, 27328, 2745, 6025, 30638, 272, 269, 1613, 994, 0, 2745, 9497, 31435, 5602, 2745, 9497, 8364, 524, 2131, 538, 328, 21536, 22462, 2215, 320, 693, 879, 1207, 16988, 15419, 311, 815, 703, 9272, 2891, 5733, 4157, 16988, 21536, 22462, 2473, 7790, 27363, 328, 815, 476, 273, 692, 604, 2473, 285, 272, 912, 825, 952, 630, 311, 260, 328, 264, 2525, 271, 912, 1038, 1820, 630, 311, 2437, 321, 4157, 534, 21536, 22462, 2215, 320, 5602, 13872, 825, 3116, 912, 1038, 1820, 11583, 2437, 611, 531, 1695, 21536, 22462, 2215, 320, 15419, 8931, 13872, 0, 5035, 1488, 16388, 1384, 825, 795, 523, 529, 815, 834, 303, 298, 298, 27029, 825, 795, 636, 331, 1695, 815, 476, 271, 692, 258, 586, 815, 669, 842, 320, 454, 258, 1535, 815, 586, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 267, 2232, 2187, 1038, 1582, 8542, 4821, 815, 2012, 454, 1038, 1582, 269, 636, 584, 815, 2085, 454, 1038, 1582, 269, 15401, 520, 815, 2232, 454, 1038, 1488, 16388, 12459, 636, 331, 1695, 23785, 272, 692, 825, 1219, 9623, 4311, 2187, 1038, 2132, 834, 301, 4821, 815, 15079, 1422, 333, 29146, 772, 332, 584, 815, 2715, 4153, 333, 29146, 1325, 600, 520, 815, 15079, 2668, 8971, 4311, 8542, 4821, 267, 1345, 269, 636, 584, 267, 1345, 269, 15401, 520, 2020, 528, 836, 272, 815, 1488, 16388, 2891, 2419, 842, 320, 2580, 476, 866, 267, 834, 297, 1897, 5602, 528, 836, 273, 815, 1488, 16388, 2891, 344, 641, 6853, 2580, 476, 866, 267, 834, 330, 539, 21105, 15419, 2745, 263, 528, 836, 272, 14857, 18743, 1029, 994, 2745, 2891, 13117, 7529, 2525, 284, 5602, 2745, 2891, 301, 4821, 2781, 933, 621, 340, 2433, 14307, 610, 836, 272, 8542, 4821, 994, 258, 1820, 263, 528, 836, 272, 269, 15401, 520, 994, 258, 1820, 2891, 13117, 7529, 2525, 284, 5602, 258, 1820, 10490, 5142, 534, 12459, 636, 331, 1695, 994, 2745, 2891, 13117, 7529, 2525, 284, 5602, 2745, 263, 528, 836, 272, 29335, 28829, 0, 454, 258, 12693, 1924, 531, 715, 9593, 476, 272, 454, 258, 1362, 11135, 912, 16482, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 6146, 267, 4666, 267, 4217, 2187, 258, 1363, 1582, 12500, 684, 7795, 815, 6146, 454, 258, 1363, 1582, 269, 3901, 328, 815, 4666, 454, 258, 1363, 1582, 12500, 656, 10224, 815, 4217, 454, 16482, 16482, 16482, 258, 672, 1219, 524, 2131, 4311, 2187, 258, 1363, 737, 6767, 815, 1582, 12500, 684, 7795, 23444, 1345, 12500, 656, 10224, 9984, 263, 1345, 269, 3901, 328, 2608, 476, 271, 269, 4037, 994, 258, 1363, 952, 17347, 6767, 3436, 476, 1015, 2187, 258, 17264, 7584, 815, 834, 294, 5357, 291, 4840, 258, 1363, 8640, 17347, 6767, 10922, 476, 1015, 543, 737, 6767, 13843, 476, 277, 2187, 258, 17264, 7584, 815, 834, 306, 6579, 23615, 4840, 258, 1363, 3116, 912, 258, 17264, 7584, 815, 834, 16576, 2177, 30438, 4840, 16482, 258, 1363, 2132, 7584, 454, 16482, 258, 737, 272, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 6146, 6345, 14866, 4821, 815, 27328, 258, 667, 272, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 16458, 6345, 14866, 4821, 815, 27328, 258, 589, 272, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 1306, 626, 6345, 14866, 4821, 815, 27328, 258, 5869, 272, 815, 11135, 17347, 272, 267, 291, 272, 267, 288, 272, 994, 258, 737, 273, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 6146, 6345, 918, 539, 7699, 815, 27328, 258, 667, 273, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 16458, 6345, 918, 539, 7699, 815, 27328, 258, 589, 273, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 1306, 626, 6345, 918, 539, 7699, 815, 27328, 258, 5869, 273, 815, 11135, 17347, 273, 267, 291, 273, 267, 288, 273, 994, 258, 737, 274, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 6146, 6345, 31509, 27004, 815, 27328, 258, 667, 274, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 16458, 6345, 31509, 27004, 815, 27328, 258, 589, 274, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 795, 636, 331, 1695, 1306, 626, 6345, 31509, 27004, 815, 27328, 258, 5869, 274, 815, 11135, 17347, 274, 267, 291, 274, 267, 288, 274, 994, 16482, 258, 1820, 263, 12516, 272, 269, 576, 330, 15405, 258, 1820, 263, 12516, 273, 269, 576, 330, 15405, 258, 1820, 263, 12516, 274, 269, 576, 330, 3890, 9239, 258, 12693, 1924, 531, 715, 9593, 476, 273, 454, 258, 1104, 30220, 454, 16482, 258, 1362, 3131, 16476, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 7329, 267, 2140, 267, 4266, 2187, 258, 1363, 1582, 269, 573, 815, 7329, 454, 258, 1363, 1582, 269, 9080, 592, 815, 2140, 454, 258, 1363, 1582, 6745, 836, 6549, 815, 4266, 454, 16482, 258, 672, 1219, 524, 2131, 4311, 2187, 258, 1363, 512, 1695, 684, 267, 4439, 534, 267, 554, 926, 815, 4786, 17301, 267, 1582, 6745, 836, 6549, 21858, 2891, 268, 27363, 258, 1363, 8126, 6549, 11017, 329, 600, 815, 30220, 6155, 622, 6025, 1695, 684, 267, 4439, 534, 267, 554, 926, 994, 258, 1363, 2221, 815, 30220, 6155, 622, 6745, 3736, 4590, 258, 1363, 13276, 529, 8811, 815, 8126, 6549, 11017, 329, 600, 910, 2221, 454, 258, 1363, 1820, 3488, 1088, 529, 8811, 554, 926, 281, 1412, 1341, 1193, 263, 1088, 529, 8811, 6155, 904, 4917, 258, 1363, 952, 630, 1088, 529, 8811, 6155, 904, 2999, 910, 274, 2187, 258, 17264, 27765, 8898, 7699, 815, 476, 1220, 271, 2608, 630, 1088, 529, 8811, 6155, 904, 1341, 476, 274, 264, 2608, 910, 272, 454, 258, 1363, 3116, 912, 258, 17264, 27765, 8898, 7699, 815, 476, 271, 454, 16482, 258, 1363, 2132 ]

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

[ 5450, 1359, 666, 849, 5351, 538, 12719, 950, 1216, 2126, 568, 2877, 267, 899, 950, 11159, 538, 519, 1062, 1058, 581, 6569, 563, 3725, 13094, 1216, 849, 2306, 2631, 547, 11281, 267, 2523, 538, 2950, 602, 5279, 585, 29326, 720, 1759, 593, 18513, 1216, 946, 282, 891, 949, 2154, 621, 1317, 6382, 789, 786, 711, 917, 875, 1454, 547, 5279, 563, 18404, 1359, 1184, 1216, 849, 2337, 609, 13451, 7020, 269, 1403, 1216, 568, 1031, 607, 851, 540, 513, 5663, 1184, 922, 1942, 1058, 581, 1249, 1819, 883, 519, 1942, 540, 519, 3803, 1587, 563, 8450, 654, 22977, 273, 281, 1473, 3233, 4826, 2422, 22159, 585, 1344, 593, 9023, 20610, 543, 18493, 894, 9023, 25256, 3937, 563, 7704, 322, 275, 281, 14175, 4248, 5004, 454, 310, 22977, 272, 270, 25446, 322, 272, 281, 30482, 4826, 2422, 22159, 454, 310, 22977, 273, 270, 25446, 322, 273, 281, 1473, 3233, 4826, 2422, 22159, 454, 25446, 322, 274, 281, 15346, 532, 18975, 4826, 2422, 454, 12788, 335, 273, 27582, 10907, 273, 281, 6052, 21252, 0, 26322, 3028, 568, 960, 2944, 676, 606, 1367, 610, 1895, 585, 519, 4324, 540, 1866, 269, 4107, 13039, 616, 3238, 538, 930, 1106, 540, 2146, 3028, 269, 12344, 621, 568, 19620, 513, 1753, 538, 991, 540, 18203, 610, 18006, 1453, 269, 6884, 621, 3322, 14957, 585, 1004, 4171, 9739, 616, 711, 1373, 4862, 269, 932, 11699, 7119, 538, 2146, 3028, 1317, 10271, 616, 1572, 547, 581, 22063, 540, 1346, 538, 991, 269, 2334, 568, 11613, 2953, 269, 1717, 267, 649, 616, 849, 1572, 547, 581, 22063, 540, 519, 20227, 540, 4906, 2441, 269, 769, 6754, 779, 4484, 547, 519, 5939, 538, 2051, 1601, 2801, 267, 646, 11339, 267, 968, 1607, 568, 519, 22258, 602, 596, 4862, 543, 602, 814, 1044, 29064, 547, 1169, 13442, 896, 13140, 267, 543, 540, 799, 594, 267, 6754, 267, 723, 1831, 513, 22700, 1848, 9861, 513, 22700, 540, 519, 22258, 568, 513, 12576, 602, 938, 3028, 4422, 3564, 8023, 519, 17237, 543, 12391, 585, 519, 4057, 269, 898, 1797, 5356, 873, 519, 4126, 649, 723, 538, 4906, 2441, 543, 4687, 519, 1434, 3377, 540, 2696, 779, 2648, 269, 0, 10666, 901, 3848, 454, 300, 9680, 288, 3047, 3163, 281, 3047, 781, 10281, 4592, 335, 1877, 910, 3848, 12834, 454, 1607, 3184, 4422, 883, 1469, 593, 519, 6946, 25029, 540, 3047, 781, 3289, 4592, 335, 1877, 267, 1818, 2386, 596, 2811, 4712, 585, 1644, 2055, 950, 596, 1491, 519, 631, 9680, 288, 3047, 3163, 981, 269, 1635, 519, 1439, 540, 713, 3184, 267, 596, 666, 2503, 547, 723, 914, 339, 1229, 707, 1620, 540, 912, 268, 3047, 781, 1216, 3892, 454, 268, 634, 1114, 11775, 540, 519, 1216, 4783, 454, 268, 1548, 1098, 17508, 568, 454, 268, 26085, 538, 1216, 2861, 8134, 454, 14818, 532, 707, 8223, 540, 891, 3584, 786, 581, 2653, 1210, 519, 2259, 17118, 693, 519, 1439, 540, 1142, 3992, 267, 799, 786, 849, 4196, 547, 24559, 596, 609, 519, 5686, 540, 2055, 596, 3513, 7237, 593, 519, 981, 269, 1403, 596, 9364, 899, 547, 946, 891, 17118, 585, 22356, 4974, 267, 789, 666, 581, 9102, 607, 3211, 563, 272, 269, 634, 17392, 540, 4826, 593, 3047, 454, 12850, 6227, 1034, 540, 3047, 855, 538, 513, 3099, 540, 3029, 269, 769, 713, 3381, 3992, 596, 786, 1451, 827, 875, 1216, 568, 7856, 593, 3047, 267, 1498, 596, 949, 581, 14281, 547, 1265, 856, 1175, 875, 2370, 540, 621, 649, 666, 1569, 2336, 273, 269, 634, 4826, 18888, 281, 2776, 27457, 2787, 267, 9473, 18730, 267, 543, 5345, 777, 2610, 454, 1607, 3992, 11828, 519, 3157, 1216, 3217, 607, 621, 7575, 1472, 519, 3047, 538, 519, 1216, 4783, 269, 1411, 3513, 1205, 606, 538, 3829, 1413, 693, 28198, 267, 13247, 267, 543, 21381, 563, 274, 269, 1215, 5345, 777, 2610, 1299, 3690, 17508, 19928, 1393, 547, 519, 10281, 6331, 545, 18888, 454, 18128, 777, 2610, 543, 1098, 17508, 616, 1271, 3334, 540, 519, 1216, 4783, 267, 543, 1247, 789, 616, 519, 1482, 1184, 789, 8451, 689, 1114, 2959, 269, 769, 713, 3381, 3992, 596, 786, 1451, 827, 891, 1079, 2694, 540, 519, 4783, 543, 875, 789, 3565, 547, 519, 2949, 3350, 540, 1216, 593, 3047, 563, 275, 269, 23270, 338, 540, 744, 10895, 543, 18610, 4248, 281, 18143, 16844, 543, 4826, 454, 1103, 713, 3992, 267, 596, 3513, 1451, 827, 519, 9265, 540, 8134, 1759, 593, 1216, 269, 1411, 786, 3605, 602, 7286, 267, 15195, 543, 513, 7848, 540, 6070, 543, 15195, 1711, 1360, 1114, 8134, 267, 799, 538, 2490, 3310, 519, 2179, 540, 9265, 602, 568, 1336, 538, 891, 9249, 563, 28606, 940, 5441, 15894, 454, 12441, 596, 917, 2507, 1284, 723, 936, 476, 1220, 2852, 6030, 602, 5965, 596, 547, 7118, 5491, 676, 981, 602, 568, 7608, 676, 936, 476, 272, 267, 4335, 12621, 543, 9945, 269, 1411, 666, 1449, 856, 540, 519, 1101, 1079, 1296, 540, 2852, 543, 4688, 5215, 1055, 707, 4110, 269, 25175, 666, 7118, 5491, 8386, 7721, 600, 7488, 540, 2085, 610, 2069, 1377, 563, 2414, 1451, 811, 267, 3643, 938, 2423, 940, 15894, 8525, 454, 9558, 2536, 2590, 5491, 547, 519, 1153, 540, 707, 3903, 454, 8253, 2386, 1018, 2852, 596, 1616, 547, 7390, 2943, 286, 5530, 2593, 814, 5215, 540, 4930, 827, 1169, 16697, 762, 4110, 267, 1858, 540, 1353, 543, 4876, 2619, 602, 666, 948, 596, 1265, 519, 1153, 602, 781, 1318, 585, 596, 563, 8448, 11271, 1369, 519, 631, 9680, 288, 3047, 3163, 281, 6657, 1299, 5530, 6651, 1576, 454, 268, 631, 9680, 288, 3047, 3163, 281, 3163, 1299, 7177, 13756, 454, 268, 631, 9680, 288, 3047, 3163, 281, 5274, 29568, 609, 3047, 7010, 454, 268, 631, 9680, 288, 3047, 3163, 281, 3047, 781, 1975, 12742, 1299, 18378, 12856, 454, 268, 631, 9680, 288, 3047, 3163, 281, 30200, 1299, 32520, 454, 268, 631, 9680, 288, 3047, 3163, 281, 17934, 570, 624, 9582, 454, 268, 631, 9680, 288, 3047, 3163, 281, 25732, 24959, 5384, 454, 268, 631, 9680, 288, 3047, 3163, 281, 6052, 8249, 454, 268, 631, 9680, 288, 3047, 3163, 281, 22948, 540, 3047, 781, 17183, 454, 268, 631, 9680, 288, 3047, 3163, 281, 7909, 7010, 454, 268, 631, 9680, 288, 3047, 3163, 281, 18610, 4248, 7010, 454, 268, 631, 9680, 288, 3047, 3163, 281, 3047, 781, 22014, 1877, 454, 268, 631, 9680, 288, 3047, 3163, 281, 16661, 1299, 23566, 338, 454, 268, 631, 9680, 288, 3047, 3163, 281, 8693, 454, 268, 631, 9680, 288, 3047, 3163, 281, 13562, 13929, 27014, 1299, 22948, 454, 268, 631, 9680, 288, 3047, 3163, 281, 9891, 3590, 454, 268, 631, 9680, 288, 3047, 3163, 281, 634, 6129, 9855, 3047, 3590, 454, 268, 631, 9680, 288, 3047, 3163, 281, 6611, 16709, 454, 268, 631, 9680, 288, 3047, 3163, 18044, 11568 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10070, 1104, 9949, 18743, 692, 5035, 32597, 24998, 2187, 453, 1029, 16435, 1824, 1029, 284, 9131, 18743, 318, 3299, 1412, 320, 23300, 22592, 6449, 8181, 9191, 1345, 267, 9598, 318, 267, 513, 2187, 453, 19677, 6155, 1112, 318, 284, 9598, 29390, 453, 19677, 18502, 815, 320, 454, 22592, 1820, 15953, 4311, 2187, 453, 13537, 1582, 6155, 1112, 29390, 453, 13537, 1582, 18502, 454, 18743, 318, 28121, 8679, 1721, 1535, 538, 2039, 263, 1015, 2187, 453, 18743, 318, 314, 343, 24557, 343, 1262, 273, 454, 28128, 272, 815, 32597, 5560, 1112, 318, 267, 275, 994, 28128, 272, 31428, 15953, 3890, 0, 5814, 10917, 12803, 454, 5814, 1357, 321, 4900, 518, 454, 5814, 15259, 454, 5814, 6449, 10852, 1029, 454, 5228, 536, 338, 275, 1104, 27202, 306, 19281, 692, 3698, 16814, 318, 2181, 1777, 1518, 263, 6255, 6447, 2187, 825, 2132, 630, 6826, 2246, 3814, 306, 19281, 19304, 263, 6255, 6447, 1070, 1412, 6255, 6447, 4877, 32242, 262, 1040, 2181, 1777, 1518, 3890, 9239, 3698, 11422, 318, 2181, 1613, 30415, 318, 20880, 267, 546, 597, 22561, 267, 840, 1777, 1518, 18989, 2187, 825, 5727, 6282, 525, 513, 10151, 16814, 3758, 609, 519, 5569, 318, 20880, 267, 543, 10741, 621, 538, 513, 11422, 454, 825, 634, 7097, 1287, 3649, 1080, 585, 3593, 3403, 543, 950, 9411, 18274, 909, 519, 10151, 3758, 692, 825, 1305, 546, 597, 25716, 547, 946, 1062, 9949, 4087, 585, 10151, 3758, 563, 1038, 546, 597, 22561, 12662, 3758, 538, 1699, 15682, 267, 547, 1450, 3448, 6402, 547, 960, 538, 4152, 692, 825, 840, 1777, 1518, 5036, 952, 519, 3977, 1058, 581, 7168, 16163, 539, 16814, 610, 1175, 2786, 3977, 269, 4347, 5435, 338, 547, 6936, 267, 799, 3096, 454, 825, 27202, 306, 19281, 269, 2181, 1777, 1518, 547, 2497, 16814, 538, 513, 8799, 1480, 28505, 3898, 454, 825, 29185, 825, 952, 840, 1777, 1518, 912, 1038, 6460, 815, 16814, 318, 2181, 1777, 1518, 454, 825, 3116, 912, 1038, 6460, 815, 1193, 454, 825, 609, 10917, 12803, 12991, 3139, 307, 3637, 17572, 4433, 4428, 1460, 284, 8339, 6255, 6447, 22779, 14030, 672, 18419, 18989, 2676, 14030, 672, 546, 597, 284, 657, 29624, 6155, 597, 4067, 263, 1029, 10852, 1029, 14857, 12803, 1029, 264, 952, 546, 597, 568, 7183, 454, 14030, 672, 3116, 630, 14085, 952, 546, 597, 568, 8771, 3116, 546, 597, 4297, 607, 3758, 912, 1038, 3758, 22182, 263, 935, 3200, 30415, 318, 20880, 1040, 523, 13892, 3488, 583, 325, 268, 279, 29125, 1038, 3758, 269, 4148, 2313, 4590, 1038, 1820, 16868, 262, 12803, 281, 11138, 262, 1341, 3758, 20508, 994, 1038, 1357, 321, 4900, 518, 269, 13449, 16868, 262, 12803, 2517, 270, 262, 1341, 3758, 20508, 18622, 2897, 3488, 11138, 3299, 26230, 4917, 1038, 3403, 2891, 18208, 9373, 547, 1439, 7097, 543, 2973, 909, 10151, 3758, 907, 23528, 0, 5228, 12449, 1104, 2608, 1477, 5035, 570, 850, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 547, 921, 1111, 267, 7762, 2431, 267, 2016, 8029, 1038, 1582, 269, 5550, 815, 25351, 4120, 6025, 963, 1111, 14720, 582, 2431, 3418, 1038, 1582, 269, 5550, 15630, 293, 650, 3488, 13582, 20298, 1038, 8700, 815, 2612, 6025, 963, 1111, 11859, 910, 7762, 2431, 11859, 3418, 1038, 4463, 815, 2612, 6025, 963, 1111, 13885, 910, 7762, 2431, 13885, 3418, 1038, 533, 660, 318, 6311, 305, 815, 8672, 6025, 963, 1111, 11859, 1341, 8700, 270, 273, 267, 547, 921, 1111, 13885, 266, 19417, 270, 273, 3418, 1038, 1582, 6983, 1844, 815, 17781, 9638, 660, 318, 6311, 305, 267, 12296, 270, 273, 3418, 1038, 1582, 269, 10233, 815, 2016, 476, 1948, 271, 815, 9039, 1477, 23351, 1948, 272, 815, 3043, 1477, 23351, 1948, 273, 815, 3109, 1477, 1038, 952, 1582, 269, 10233, 2652, 476, 272, 6769, 2018, 1582, 6983, 1844, 15630, 293, 650, 3488, 19009, 20298, 2018, 1582, 6983, 1844, 15630, 11073, 1467, 3488, 18872, 20298, 1038, 8640, 1582, 269, 10233, 2652, 476, 273, 6769, 2018, 1582, 6983, 1844, 15630, 293, 650, 3488, 18872, 20298, 2018, 1582, 6983, 1844, 15630, 11073, 1467, 3488, 19009, 262, 10142, 825, 1219, 2721, 307, 850, 4311, 267, 3094, 8029, 1038, 1582, 269, 5550, 269, 1495, 3863, 14052, 1038, 1582, 269, 5550, 6155, 3863, 263, 7773, 3418, 1038, 952, 4311, 269, 10233, 8029, 2018, 1582, 6983, 1844, 269, 1495, 3863, 14052, 2018, 1582, 6983, 1844, 6155, 3863, 263, 7773, 10142, 825, 1219, 16212, 307, 850, 4311, 267, 3094, 8029, 1038, 952, 1582, 269, 10233, 2652, 476, 271, 6769, 2018, 2132, 476, 271, 1477, 1038, 8640, 1582, 269, 10233, 2652, 476, 272, 6769, 2018, 1582, 269, 10233, 815, 476, 273, 1477, 2018, 1582, 6983, 1844, 15630, 293, 650, 3488, 18872, 20298, 2018, 1582, 6983, 1844, 15630, 11073, 1467, 3488, 19009, 20298, 1038, 8640, 1582, 269, 10233, 2652, 476, 273, 6769, 2018, 1582, 269, 10233, 815, 476, 272, 1477, 2018, 1582, 6983, 1844, 15630, 293, 650, 3488, 19009, 20298, 2018, 1582, 6983, 1844, 15630, 11073, 1467, 3488, 18872, 20298, 1038, 1582, 6155, 3863, 307, 850, 263, 7773, 3418, 5897, 825, 1219, 1305, 307, 850, 4311, 267, 2681, 267, 3094, 8029, 1038, 952, 1582, 269, 10233, 2652, 476, 271, 6769, 2018, 1582, 269, 10233, 815, 2681, 1477, 2018, 952, 2681, 2652, 476, 273, 6769, 3546, 1582, 6983, 1844, 15630, 293, 650, 3488, 18872, 20298, 3546, 1582, 6983, 1844, 15630, 11073, 1467, 3488, 19009, 20298, 2018, 8640, 2681, 2652, 476, 272, 6769, 3546, 1582, 6983, 1844, 15630, 293, 650, 3488, 19009, 20298, 3546, 1582, 6983, 1844, 15630, 11073, 1467, 3488, 18872, 20298, 2018, 1582, 6155, 3863, 307, 850, 263, 7773, 3418, 0, 26611, 23591, 24800, 19841, 341, 9226, 21506, 258, 256, 268, 265, 268, 322, 5317, 281, 583, 325, 268, 279, 28605, 1477, 258, 256, 287, 11742, 453, 453, 281, 476, 1001, 280, 270, 272, 270, 2420, 476, 16573, 273, 453, 866, 281, 2764, 1477, 258, 256, 287, 12041, 453, 281, 2473, 310, 318, 297, 807, 1477, 258, 256, 287, 17572, 453, 453, 281, 9598, 18258, 5897, 323, 272, 815, 2715, 1477, 825, 1412, 4067, 9166, 1412, 531, 6975, 3299, 1477, 825, 1412, 720, 9166, 476, 1240, 267, 1477, 348, 1477, 323, 272, 15630, 29239, 3488, 4067, 3299, 1412, 2704, 6975, 20298, 323, 272, 15630, 29239, 3488, 14054, 3299, 1412, 332, 1446, 20298, 2745, 5560, 272, 3418, 5897, 323, 272, 815, 2715, 1477, 825, 1412, 4067, 9166, 1412, 531, 6975, 3299, 1477, 825, 1412, 720, 9166, 476, 1240, 267, 1477, 348, 1477, 323, 272, 269, 26303, 20719, 262, 4067, 9166, 1412, 2704, 6975, 3299, 1412, 14054, 9166, 1412, 332, 1446, 262, 16585, 1948, 17276, 367, 357, 418, 482, 493, 25263, 510, 9463, 480, 25913, 19764, 493, 7511, 21251, 12571, 490, 1477, 2745, 5560, 272, 10142, 323, 272, 815, 2715, 1477, 825, 1412, 4067, 9166, 1412, 531, 6975, 3299, 1477, 825, 1412, 720, 9166, 476, 1240, 267, 1477, 825, 1412, 14054, 9166, 1412, 332, 1446, 12887, 274, 9166, 274, 267, 1477, 348, 5897, 320, 815, 546, 272, 269, 12399, 14052, 2745, 5416, 3418, 2745, 17338, 5416, 25011, 271, 29573, 320, 815, 546, 272, 269, 11161, 14052, 2745, 5416, 3418, 2745, 17338, 5416, 25011, 271, 29573, 320, 815, 546, 272, 29096, 14052, 2745, 5416, 3418, 2745, 17338, 5416, 25011, 271, 316, 10142, 916, 326, 5091, 545, 28121, 1477, 262, 20625, 9166, 1015, 267, 1477, 1405, 525, 5055, 9166, 1911, 1822, 267, 1477, 6415, 659, 9166, 4968, 271, 267, 1477, 262, 6352, 26785, 9166, 4968, 876, 267, 1477, 262, 577, 1157, 523, 9166, 1015, 267, 1477, 348, 1477, 16591, 338, 9078, 17342, 15947, 6112, 6936, 6769, 825, 585, 1883, 267, 14403, 538, 20444, 326, 5091, 545, 29096, 28399, 1038, 1820, 3488, 4067, 281, 346, 4067, 348, 3902, 281, 346, 23748, 348, 8339, 8971, 263, 23748, 284, 14403, 267, 4067, 284, 4486, 17903, 825, 3903, 284, 6358, 3488, 417, 499, 484, 417, 497, 479, 9563, 281, 1412, 1040, 29328, 14052, 825, 952, 711, 3903, 610, 3903, 711, 538, 20444, 326, 5091, 545, 281, 11666, 826, 1477, 825, 1293, 284, 6358, 3488, 420, 368, 511, 18263, 364, 14748, 12255, 9563, 281, 1412, 1040, 29328, 14052, 825, 952, 711, 1293, 18994, 323, 13424, 263, 2567, 11666, 826, 1477, 825, 5370, 9078, 6910, 9230, 577, 4069, 267, 916, 326, 5091, 545, 314, 577, 4069, 3910, 12248, 264, 10142, 825, 1820, 14116, 797, 338, 9078, 3418, 5897, 258, 20069, 417, 28187, 31284, 29219, 421, 505, 484, 12571, 486, 1496, 1556, 267, 2420, 267, 3451, 267, 4510, 267, 4649, 267, 5780, 267, 6507, 267, 6434, 267, 4200, 267, 3445, 1862, 316, 8147, 16533, 484, 19867, 478, 20069, 27962, 30678, 476, 5780, 476, 7511, 29219, 32517, 507, 11858, 502, 420, 485, 367, 21211, 10429, 372, 7511, 21588, 361, 22047, 4486, 18809, 8147, 16533, 484, 16533, 493, 30678, 476, 5780, 476, 7511, 29219, 32517, 507, 11858, 502, 420, 485, 367, 21588, 361, 11590, 490, 14748, 4486, 7511, 29219, 18809, 1477, 258, 22287, 367, 16088, 27835, 330, 272, 9166, 13127, 353, 356, 30678, 5780, 7511, 19867, 478, 20069, 29219, 267, 1412, 330, 273, 9166, 13127, 364, 493, 30678, 5780, 7511, 19867, 478, 20069, 29219, 348, 1477, 320, 28121, 262, 330, 272, 9166, 314, 3910, 262, 330, 273, 9166, 26514, 348, 1477, 322, 17342, 1556, 267, 2420, 267, 3451, 267, 4510, 267, 4649, 267, 5780, 267, 6507, 267, 6434, 267, 4200, 267, 3445, 15947, 1721, 1775, 538, 524, 6769, 825, 952, 1775, 285, 5780, 6769, 1038, 513, 9131, 330, 272, 262, 4940, 6572, 9217, 3418, 825, 3116, 6769, 1038, 513, 9131, 330, 273, 262, 4940, 6572, 9217, 3418, 2745, 5416, 3418, 5897, 0, 5814, 2979, 454, 5814, 4604, 692, 5035, 26761, 912, 8931, 825, 1219, 6449, 8181, 9191, 1345, 267, 4062, 281, 1598, 267, 4604, 281, 15953, 264, 9847, 1843, 912, 1038, 1582, 4877, 19991, 815, 4062, 454, 1038, 1582, 269, 4580, 815, 4604, 692, 825, 1948, 16521, 519, 1655, 1847, 609, 519, 3642, 454, 825, 1219, 1655, 8548, 913, 4311, 264, 9847, 703, 912, 1038, 1655, 30360, 815, 910, 4118, 269, 8882, 454, 1038, 1655, 31161, 815, 7183, 454, 1038, 585, 4994, 538, 1582, 269, 4580, 269, 4580, 912, 2018, 952, 1582, 269, 4580, 269, 20777, 8548, 913, 263, 8161, 2187, 3546, 10917, 815, 1582, 269, 4580, 269, 4580, 27709, 2639, 3546, 1582, 269, 4580, 269, 4580, 27709, 316, 815, 1582, 4877, 19991, 454, 3546, 6060, 815, 1582, 269, 2381, 328, 26174, 4311, 269, 4580, 267, 271, 267, 16178, 994, 3546, 1582, 269, 4580, 269, 4580, 27709, 316, 815, 10917, 454, 3546, 952, 6060, 3436, 1655, 30360, 912, 7386, 1655, 30360, 815, 6060, 454, 7386, 1655, 31161, 815, 4994, 454, 1038, 2132, 1655, 31161, 22562, 825, 1948, 300, 7236, 3193, 25276, 1599, 547, 1265, 519, 1655, 6364, 3097, 825, 1219, 9910, 26174, 4311, 267, 4580, 28504, 3704, 281, 842, 267, 568, 16655, 281, 321, 944, 264, 9847, 703, 912, 1038, 1948, 338, 13990, 585, 519, 6364, 540, 1169, 2619, 585, 519, 3642, 454, 1038, 8464, 815, 13634, 2018, 834, 302, 9899, 476, 272, 952, 1582, 4877, 19991, 2652, 834, 302, 257, 3116, 910, 272, 2676, 2018, 834, 311, 9899, 910, 272, 952, 1582, 4877, 19991, 2652, 834, 302, 257, 3116, 476, 272, 2676, 2018, 834, 2316, 292, 9899, 271, 454, 1038, 7684, 454, 1038, 1267, 815, 4604, 269, 13765, 318, 7773, 1676, 4590, 1038, 952, 1267, 11203, 7183, 912, 2018, 2132, 8464, 314, 14310, 2639, 13872, 1038, 1655, 30360, 815, 910, 4118, 269, 8882, 952, 568, 16655, 3116, 2979, 269, 8882, 454, 1038, 1480, 815, 834, 311, 257, 952, 1582, 4877, 19991, 2652, 834, 302, 257, 3116, 834, 302, 4840, 1038, 1948, 12712, 330, 540, 519, 9910, 3193, 1599, 267, 4422, 998, 1169, 1847, 547, 1265, 454, 1038, 1948, 1492, 10888, 6364, 3097, 1038, 585, 4994, 538, 4604, 269, 4580, 912, 2018, 952, 4604, 269, 20777, 8548, 913, 263, 8161, 2187, 3546, 10917, 815, 4604, 269, 4580, 27709, 2639, 3546, 4604, 269, 4580, 27709, 316, 815, 1582, 4877, 19991, 952, 568, 16655, 3116, 1480, 454, 3546, 6060, 815, 1582, 269, 2381, 328, 26174, 29033, 267, 3178, 1341, 476, 272, 267, 568, 16655, 815, 8771, 952, 568, 16655, 3116, 6936, 994, 3546, 4604, 269, 4580, 27709, 316, 815, 10917, 454, 3546, 1655, 30360, 815, 3193, 263, 16557, 267, 12895, 30360, 264, 952, 568, 16655, 3116, 1295, 263, 16557, 267, 12895, 30360, 994, 1038, 2132, 1655, 30360, 19638, 19638, 0, 1012, 700, 3041, 4811, 454, 258, 1930, 1299, 7475, 538, 32582, 23049, 454, 4289, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 2745, 17338, 994, 12534, 815, 18358, 322, 1846, 3299, 1412 ]

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

[ 3488, 6858, 266, 3192, 815, 476, 25784, 5073, 825, 952, 1003, 272, 2652, 476, 6858, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2735, 912, 1038, 1820, 3488, 6858, 266, 2735, 815, 476, 25228, 5073, 825, 952, 1003, 272, 2652, 476, 6858, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 1960, 912, 1038, 1820, 3488, 6858, 266, 1960, 815, 476, 29214, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5611, 912, 1038, 1820, 3488, 6924, 266, 5611, 815, 476, 25908, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14681, 912, 1038, 1820, 3488, 6924, 266, 14681, 815, 476, 25546, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 13923, 912, 1038, 1820, 3488, 6924, 266, 13923, 815, 476, 13136, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14631, 912, 1038, 1820, 3488, 6924, 266, 14631, 815, 476, 21854, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15150, 912, 1038, 1820, 3488, 6924, 266, 15150, 815, 476, 19442, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14028, 912, 1038, 1820, 3488, 6924, 266, 14028, 815, 476, 23417, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14444, 912, 1038, 1820, 3488, 6924, 266, 14444, 815, 476, 23470, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14991, 912, 1038, 1820, 3488, 6924, 266, 14991, 815, 476, 18597, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15647, 912, 1038, 1820, 3488, 6924, 266, 15647, 815, 476, 26297, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14689, 912, 1038, 1820, 3488, 6924, 266, 14689, 815, 476, 25375, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 8182, 912, 1038, 1820, 3488, 6924, 266, 8182, 815, 476, 25248, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14065, 912, 1038, 1820, 3488, 6924, 266, 14065, 815, 476, 26631, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14341, 912, 1038, 1820, 3488, 6924, 266, 14341, 815, 476, 15996, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14321, 912, 1038, 1820, 3488, 6924, 266, 14321, 815, 476, 23211, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 13932, 912, 1038, 1820, 3488, 6924, 266, 13932, 815, 476, 22446, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 13679, 912, 1038, 1820, 3488, 6924, 266, 13679, 815, 476, 22001, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14917, 912, 1038, 1820, 3488, 6924, 266, 14917, 815, 476, 23056, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15757, 912, 1038, 1820, 3488, 6924, 266, 15757, 815, 476, 20720, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 12739, 912, 1038, 1820, 3488, 6924, 266, 12739, 815, 476, 26951, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15433, 912, 1038, 1820, 3488, 6924, 266, 15433, 815, 476, 26801, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10204, 912, 1038, 1820, 3488, 6924, 266, 10204, 815, 476, 24487, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14378, 912, 1038, 1820, 3488, 6924, 266, 14378, 815, 476, 26839, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15094, 912, 1038, 1820, 3488, 6924, 266, 15094, 815, 476, 13301, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15876, 912, 1038, 1820, 3488, 6924, 266, 15876, 815, 476, 25240, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14690, 912, 1038, 1820, 3488, 6924, 266, 14690, 815, 476, 26237, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 11260, 912, 1038, 1820, 3488, 6924, 266, 11260, 815, 476, 25838, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 12293, 912, 1038, 1820, 3488, 6924, 266, 12293, 815, 476, 28192, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10082, 912, 1038, 1820, 3488, 6924, 266, 10082, 815, 476, 25090, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 9965, 912, 1038, 1820, 3488, 6924, 266, 9965, 815, 476, 26727, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 9692, 912, 1038, 1820, 3488, 6924, 266, 9692, 815, 476, 26316, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5197, 912, 1038, 1820, 3488, 6924, 266, 5197, 815, 476, 27886, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 8687, 912, 1038, 1820, 3488, 6924, 266, 8687, 815, 476, 27149, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 9264, 912, 1038, 1820, 3488, 6924, 266, 9264, 815, 476, 7742, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 8146, 912, 1038, 1820, 3488, 6924, 266, 8146, 815, 476, 25172, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 7277, 912, 1038, 1820, 3488, 6924, 266, 7277, 815, 476, 21857, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6977, 912, 1038, 1820, 3488, 6924, 266, 6977, 815, 476, 26562, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5908, 912, 1038, 1820, 3488, 6924, 266, 5908, 815, 476, 22724, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6942, 912, 1038, 1820, 3488, 6924, 266, 6942, 815, 476, 14838, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6642, 912, 1038, 1820, 3488, 6924, 266, 6642, 815, 476, 16348, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6245, 912, 1038, 1820, 3488, 6924, 266, 6245, 815, 476, 27038, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5002, 912, 1038, 1820, 3488, 6924, 266, 5002, 815, 476, 28670, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 4489, 912, 1038, 1820, 3488, 6924, 266, 4489, 815, 476, 28796, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 4572, 912, 1038, 1820, 3488, 6924, 266, 4572, 815, 476, 18605, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 4350, 912, 1038, 1820, 3488, 6924, 266, 4350, 815, 476, 28360, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 3707, 912, 1038, 1820, 3488, 6924, 266, 3707, 815, 476, 26783, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 4198, 912, 1038, 1820, 3488, 6924, 266, 4198, 815, 476, 28091, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 3422, 912, 1038, 1820, 3488, 6924, 266, 3422, 815, 476, 25784, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 3192, 912, 1038, 1820, 3488, 6924, 266, 3192, 815, 476, 25228, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2735, 912, 1038, 1820, 3488, 6924, 266, 2735, 815, 476, 29214, 5073, 825, 952, 1003, 272, 2652, 476, 6924, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 1960, 912, 1038, 1820, 3488, 6924, 266, 1960, 815, 476, 29045, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5611, 912, 1038, 1820, 3488, 7597, 266, 5611, 815, 476, 25546, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14681, 912, 1038, 1820, 3488, 7597, 266, 14681, 815, 476, 13136, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 13923, 912, 1038, 1820, 3488, 7597, 266, 13923, 815, 476, 21854, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14631, 912, 1038, 1820, 3488, 7597, 266, 14631, 815, 476, 19442, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15150, 912, 1038, 1820, 3488, 7597, 266, 15150, 815, 476, 23417, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14028, 912, 1038, 1820, 3488, 7597, 266, 14028, 815, 476, 23470, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14444, 912, 1038, 1820, 3488, 7597, 266, 14444, 815, 476, 18597, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14991, 912, 1038, 1820, 3488, 7597, 266, 14991, 815, 476, 26297, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15647, 912, 1038, 1820, 3488, 7597, 266, 15647, 815, 476, 25375, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14689, 912, 1038, 1820, 3488, 7597, 266, 14689, 815, 476, 25248, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 8182, 912, 1038, 1820, 3488, 7597, 266, 8182, 815, 476, 26631, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14065, 912, 1038, 1820, 3488, 7597, 266, 14065, 815, 476, 15996, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14341, 912, 1038, 1820, 3488, 7597, 266, 14341, 815, 476, 23211, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14321, 912, 1038, 1820, 3488, 7597, 266, 14321, 815, 476, 22446, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 13932, 912, 1038, 1820, 3488, 7597, 266, 13932, 815, 476, 22001, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 13679, 912, 1038, 1820, 3488, 7597, 266, 13679, 815, 476, 23056, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 14917, 912, 1038, 1820, 3488, 7597, 266, 14917, 815, 476, 20720, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15757, 912, 1038, 1820, 3488, 7597, 266, 15757, 815, 476, 26951, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 12739, 912, 1038, 1820, 3488, 7597, 266, 12739, 815, 476, 26801, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 15433, 912, 1038, 1820, 3488, 7597, 266, 15433, 815, 476, 24487, 5073, 825, 952, 1003, 272, 2652, 476, 7597, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10204, 912, 1038, 1820, 3488, 7597, 266, 10204 ]

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

[ 29905, 269, 1809, 585, 1346, 540, 596, 945, 899, 2713, 896, 7725, 267, 1934, 781, 513, 2596, 678, 1495, 1144, 540, 875, 621, 1568, 630, 16694, 602, 519, 1505, 949, 3100, 5996, 565, 3176, 267, 855, 621, 781, 3730, 585, 2663, 17107, 16920, 871, 693, 31914, 1144, 267, 950, 519, 10546, 3884, 1405, 3168, 780, 10190, 4894, 782, 5624, 543, 18685, 630, 10472, 568, 711, 14553, 2556, 267, 855, 649, 3513, 798, 621, 1022, 1811, 2020, 2969, 307, 19272, 2969, 306, 26685, 32052, 20062, 7728, 4047, 2894, 4932, 312, 3041, 18199, 26183, 19170, 692, 5719, 1260, 2821, 519, 1257, 883, 2338, 267, 589, 284, 271, 267, 645, 284, 272, 267, 3267, 313, 284, 1839, 1384, 271, 476, 866, 476, 866, 476, 271, 476, 273, 476, 1015, 476, 271, 476, 866, 476, 1240, 476, 736, 476, 1724, 476, 274, 476, 1691, 476, 2420, 476, 1724, 476, 2420, 476, 278, 476, 275, 476, 1724, 476, 866, 476, 278, 476, 275, 476, 275, 476, 1724, 476, 275, 476, 1321, 476, 2190, 476, 279, 476, 1240, 476, 1724, 476, 866, 476, 1556, 476, 1691, 476, 1691, 476, 1015, 476, 279, 476, 1724, 476, 277, 692, 16521, 513, 25948, 1883, 1063, 476, 272, 543, 476, 1839, 282, 649, 3513, 3442, 476, 278, 269, 3973, 1039, 519, 1883, 547, 1142, 1297, 543, 1491, 519, 1267, 1110, 25222, 476, 2918, 267, 602, 568, 267, 952, 519, 1297, 20489, 476, 2918, 267, 10208, 476, 2918, 2394, 621, 781, 4130, 982, 476, 2918, 630, 324, 3052, 269, 1403, 596, 723, 476, 1789, 267, 1287, 476, 1789, 1110, 25222, 476, 2918, 568, 476, 1789, 268, 2918, 568, 476, 275, 6393, 278, 476, 271, 476, 271, 476, 278, 476, 280, 476, 1704, 476, 278, 476, 271, 476, 1839, 476, 272, 476, 736, 476, 1015, 476, 2641, 476, 274, 476, 736, 476, 274, 476, 1691, 476, 1556, 476, 736, 476, 271, 476, 1691, 476, 1556, 476, 1556, 476, 736, 476, 1556, 476, 866, 476, 276, 476, 1428, 476, 1839, 476, 736, 476, 271, 476, 1240, 476, 2641, 476, 2641, 476, 1704, 476, 1428, 476, 736, 476, 1724, 692, 10190, 6460, 1394, 547, 5022, 1384, 295, 8150, 295, 297, 305, 11190, 313, 289, 20084, 13748, 11070, 5357, 308, 288, 5357, 299, 17109, 17025, 313, 308, 3008, 309, 309, 14641, 7419, 692, 2414, 1232, 7973, 267, 596, 798, 519, 1482, 267, 4849, 596, 10208, 519, 25948, 1883, 269, 2334, 1767, 267, 713, 29905, 568, 1360, 2653, 547, 2736, 269, 1677, 6961, 621, 267, 1934, 781, 513, 4161, 1384, 20806, 3188, 265, 476, 271, 281, 5463, 1712, 519, 1739, 1384, 306, 12702, 296, 304, 295, 300, 304, 22432, 297, 10258, 308, 295, 8582, 7417, 4811, 9816, 293, 297, 11246, 295, 304, 293, 311, 308, 295, 692, 265, 8074, 602, 713, 568, 513, 14407, 21568, 540, 519, 2262, 1412, 577, 718, 3188, 262, 780, 1012, 3487, 476, 272, 281, 6206, 539, 19332, 692, 3086, 649, 4312, 3893, 602, 856, 540, 519, 1259, 267, 1577, 781, 1205, 593, 547, 1945, 811, 4277, 269, 634, 1966, 609, 513, 19332, 568, 602, 621, 781, 1932, 2653, 547, 14697, 1030, 13396, 269, 4495, 596, 917, 621, 781, 513, 19332, 29905, 267, 596, 666, 3362, 2638, 782, 519, 7399, 269, 1924, 1577, 781, 4368, 602, 267, 676, 10962, 513, 3476, 1883, 269, 769, 851, 476, 271, 267, 649, 1185, 513, 2582, 25948, 1883, 602, 729, 4294, 547, 1169, 4484, 269, 1548, 649, 2811, 2469, 547, 798, 568, 723, 513, 1895, 540, 10569, 543, 4019, 873, 538, 2490, 269, 1280, 1383, 267, 952, 649, 1185, 519, 10569, 476, 275, 267, 476, 866, 543, 476, 279, 267, 649, 1131, 6521, 519, 1101, 4484, 476, 275, 4025, 267, 519, 2034, 476, 866, 267, 519, 3791, 476, 279, 267, 519, 8772, 476, 275, 267, 543, 865, 593, 269, 769, 713, 1259, 267, 835, 666, 711, 3274, 2638, 782, 519, 7399, 1262, 267, 543, 513, 811, 17715, 1935, 568, 2877, 547, 11523, 519, 29905, 780, 1262, 4270, 267, 596, 1223, 2638, 782, 519, 7399, 267, 855, 602, 1131, 581, 2731, 19309, 780, 2080, 616, 1614, 30582, 540, 713, 29905, 538, 1114, 4654, 269, 1403, 596, 666, 1405, 1982, 267, 610, 1810, 1405, 1982, 538, 1022, 540, 891, 4654, 267, 1810, 1405, 5855, 281, 634, 30582, 616, 8185, 29499, 267, 865, 1175, 1224, 519, 8292, 780, 4913, 267, 713, 568, 1869, 513, 4617, 29905, 267, 543, 596, 666, 6961, 621, 676, 29852, 519, 1739, 1384, 20806, 3188, 476, 272, 269, 272, 281, 20099, 476, 273, 6206, 692, 20806, 3188, 476, 272, 269, 273, 281, 20099, 476, 277, 6206, 692, 20806, 3188, 476, 272, 269, 274, 281, 32148, 20099, 6206, 630, 27045, 476, 278, 2020, 1012, 3487, 476, 273, 281, 10434, 2989, 6206, 539, 19332, 692, 763, 6206, 539, 19332, 729, 513, 1900, 538, 519, 1318, 4287, 267, 855, 621, 781, 1869, 21230, 2653, 547, 11523, 267, 1317, 540, 1978, 12755, 630, 7224, 267, 594, 4465, 1405, 7866, 519, 2626, 547, 851, 476, 272, 538, 851, 476, 273, 32656, 1924, 649, 2811, 2469, 547, 2182, 523, 621, 930, 811, 269, 634, 10434, 2989, 6206, 539, 19332, 786, 4183, 513, 2518, 27261, 269, 901, 1797, 602, 519, 32671, 4484, 540, 519, 10750, 3667, 786, 1205, 17146, 737, 265, 333, 4025, 267, 1141, 737, 568, 519, 2518, 27261, 269, 1924, 952, 707, 2518, 27261, 729, 476, 273, 267, 519, 1101, 4484, 1131, 1205, 17146, 476, 273, 5116, 593, 1283, 540, 875, 621, 781, 17146, 676, 519, 1883, 267, 519, 2034, 4484, 476, 275, 267, 543, 865, 593, 269, 901, 2306, 519, 29905, 1454, 811, 14388, 547, 1978, 6285, 780, 2080, 781, 519, 30582, 1384, 257, 295, 836, 593, 2580, 596, 2161, 267, 834, 514, 513, 1483, 3510, 713, 1131, 581, 593, 1804, 25098, 540, 1257, 267, 543, 594, 9364, 917, 513, 3787, 827, 519, 2796, 269, 634, 26032, 540, 519, 2591, 1039, 5841, 7411, 256, 2668, 1656, 596, 9364, 581, 1318, 282, 602, 781, 1946, 267, 585, 519, 1985, 2591, 267, 594, 3513, 1683, 513, 13594, 16535, 540, 513, 700, 2752, 12283, 32004, 540, 1257, 24290, 676, 713, 29905, 269, 594, 3513, 1256, 2995, 596, 1018, 621, 781, 827, 2439, 20806, 3188, 476, 273, 269, 272, 281, 20099, 476, 273, 6206, 9578, 9214, 618, 692, 288, 4108, 3391, 1504, 780, 20806, 3188, 476, 273, 269, 273, 281, 32148, 20099, 6206, 630, 27045, 476, 278, 264, 9578, 9214, 618, 692, 288, 4583, 3209, 780, 1432, 811, 666, 594, 2161, 286, 8414, 25305, 2439, 1892, 11146, 519, 678, 1218, 256, 1341, 272, 1107, 1109, 305, 663, 620, 31415, 1817, 5463, 476, 2767, 1412, 1691, 693, 476, 1626, 281, 4649, 454, 1892, 2659, 834, 4486, 539, 32614, 257, 568, 849, 1634, 607, 966, 3394, 27056, 2275, 8327, 269, 1107, 1109, 25508, 385, 511, 5979, 661, 828, 10458, 5463, 476, 2767, 1412, 1691, 693, 476, 866, 281, 2767, 454, 1892, 634, 1249, 602, 519, 5354, 540, 519, 2626, 547, 713, 2243, 568, 2965, 1175, 513, 678, 656, 1996, 29571, 3683, 6503, 3352, 802, 803, 2864, 9244, 269, 1772, 972, 513, 2601, 713, 729, 2944, 543, 5924, 729, 621, 2731, 2556, 286, 1107, 1109, 12528, 736, 5463, 476, 2764, 1412, 1691, 693, 476, 276, 281, 3953, 454, 1892, 7711, 10387, 21531, 592, 594, 2965, 1175, 2877, 930, 1804, 546, 16244, 1257, 543, 29921, 29571, 7021, 6503, 883, 519, 24255, 4484, 11718, 693, 533, 752, 514, 3820, 270, 1260, 680, 5593, 269, 594, 6415, 20994, 952, 713, 1055, 2105, 4896, 267, 594, 2219, 621, 1131, 581, 6654, 602, 621, 781, 1175, 20060, 1619, 689, 519, 1259, 621, 568, 2854, 269, 634, 3791, 5037, 568, 519, 1283, 20366, 2022, 936, 693, 1315, 337, 24579, 13559, 2719, 540, 519, 3923, 267, 12077, 30127, 321, 990, 710, 14492, 24579, 13559, 11302, 2389, 22736, 3562, 1532, 5476, 2996, 21867, 267, 543, 814, 4986, 547, 798, 609, 29571, 7021, 6503, 269, 7442, 3098, 267, 594, 15069, 8359, 1250, 546, 16244, 1257, 14605, 267, 855, 1100, 29405, 547, 519, 29571, 2750, 4219, 3060, 729, 5497, 269, 1107, 1109, 2521, 628, 5463, 476, 2764, 1412, 1691, 693, 476, 276, 281, 7906, 454, 1892, 7711, 2521, 628, 13259, 267, 602, 1131, 723, 1044, 8799, 547, 917, 269, 3733, 3284, 3098, 256, 1107, 1109, 12528, 736, 5463, 476, 2764, 1412, 1691, 693, 476, 866, 281, 5392, 692, 1012, 7420, 476, 271, 692, 7563, 2464, 2752, 654, 3008, 10691, 589, 966, 28475, 23184, 7495, 10911, 312, 8976, 22593, 295, 2207, 454, 4131, 1562, 17146, 676, 476, 1626, 7158, 538, 519, 9904, 780, 28062, 676, 1490, 1393, 3196, 780, 1012, 7420, 476, 272, 269, 272, 692, 288, 26395, 312, 5508, 700, 2894, 294, 8025, 29375, 302, 4959, 10691, 966, 28475, 23184, 7495, 645, 4488, 288, 27516, 8668, 4959, 9338, 19616, 4306, 5990, 590, 7246, 292, 6789, 589, 715, 3036, 300, 3201, 11404, 2464, 2752, 595, 7709, 295, 2207, 267, 6730, 9358, 27114, 590, 2316, 17247, 19836, 7473, 292, 6363, 3036, 4753, 5990, 2910, 11586, 2562, 9569, 269, 645, 7473, 17692, 9358, 25663, 309, 3633, 24199, 589, 2793, 14877, 22310, 14877, 9358, 25758, 11298, 5058, 654, 21822, 267, 645, 4488, 288, 27516, 5990, 590, 28719, 570, 20168, 296, 12702, 292, 27114, 18688, 6673, 12195, 296, 3633, 9215, 645, 3918, 288, 298, 24199, 595, 7709, 295, 2207, 23166, 4888, 312, 26395, 312, 700, 2894, 294, 8025, 269, 28313, 24202, 590, 26041, 27749, 570, 28692, 281, 5990, 19532, 27912, 645, 4629, 310, 301, 29332, 311, 808, 308, 6573, 3633, 744, 23615, 5990, 15829, 313, 312, 667, 8104, 563, 7659, 540, 630, 1626, 267, 2420, 6393, 28062, 676, 1490, 1393, 3196, 609, 519, 5351, 540, 519, 795, 822, 2444, 2815, 6388, 780, 1012, 7420, 476, 272, 269, 273, 692, 4306, 19272, 10976, 2207, 14566, 8582, 670, 3008, 654, 305, 3951, 307, 2894, 966, 5357, 9331, 2464, 9474, 27345, 670, 8582, 5990, 645, 12239, 654, 17751, 9215, 10790, 17395, 589, 18161, 19860, 4959, 23166, 29332, 4456, 5058, 11083, 5990, 631, 5495, 8025, 267, 681, 4047, 307, 3036, 2975, 267, 6730, 700, 4953, 307, 8991, 674, 21135, 3633, 623, 6020, 300, 2752, 6579, 312, 23166, 12327, 12710, 4456, 9569, 18161, 2562, 4811, 269, 667, 2177, 31415, 645, 5085, 23966, 12717, 589, 654, 16704, 5508, 8668, 267, 8946, 5495, 21203, 269, 5990, 13138, 7473, 295, 4959, 8946, 2969, 8668, 11550, 293, 8577, 2464, 8946, 2969, 589, 623, 6369, 4785, 296, 25770, 12327, 290, 27516, 4959, 589, 14408, 2316, 306, 293, 16898, 12088, 24639, 7034, 2316, 307, 7473, 292, 11123, 25783, 19489, 300, 23814, 269, 8946, 2969, 12164, 4753, 8976, 4959, 5508, 2910, 7838, 10345, 19766, 4041, 15288, 645, 7419, 298, 15760, 4888, 312, 5254, 3918, 307, 6224, 5508, 5990, 594, 7246, 294, 2562, 9569, 282, 670, 8582, 14110, 2207, 8668, 4959, 645, 7419, 298, 8946, 2969, 670, 3008, 590, 7838, 309, 4353, 3633, 966, 7644, 307, 308, 3201, 14877, 6167, 6224, 20315, 3633, 20978, 18040, 2894, 8668, 654, 3008, 674, 7644, 4306, 11550, 303, 5308, 3633, 17252, 2752, 14877, 670, 3201, 293, 589, 595, 7728, 7838, 312, 17985, 302, 15760, 11404, 4785, 12087, 631, 4696, 300, 2894, 9215, 594, 4811, 11553, 2464, 7728, 5442, 290, 2752, 2793, 3582, 5442, 5254, 19272, 10976, 2207, 14566, 8582, 24202, 966, 11223, 12327, 290, 4785, 2464, 269, 5254, 19272, 10976, 2207, 14566, 8582, 700, 10976, 2464, 2475, 5058, 645, 5456, 20796, 9169, 22244, 17395, 1412, 26685, 4932, 2177, 4306, 6938, 30888, 2894, 8577, 262, 6730, 1412, 7419, 24165, 303, 3036, 3582, 5723, 299, 2894, 8577, 8339, 6789, 589, 19419, 17109, 267, 8668, 654, 305, 3951, 2464, 22244, 17395, 589, 631, 7728, 3201, 14877, 14889, 299, 623, 8991, 2177, 23166, 589, 8946, 2464, 288, 7838, 4785, 269, 8946, 2969, 717, 5588, 19294, 8946, 2562, 32578, 281, 25783, 295, 4338, 306, 5254, 19272, 10976, 2207, 14566, 8582, 9501, 5495, 4811, 20231, 14160, 19798, 2464, 5508, 29706, 13697, 28475, 9474, 27345, 594, 4811, 631, 3036, 3201, 966, 5456, 3036, 269, 654, 21822, 267, 590, 13543, 267, 8668, 670, 3008, 590, 26041, 295, 8582, 674, 5495, 21254, 5990, 11123, 2316, 307, 11070, 292, 9215, 13673, 291, 13543, 744, 7838, 744, 7582, 302, 5058, 670, 9331, 6579, 8656, 3582, 6730, 20591, 26376, 293, 18306, 11083, 5990, 670, 3198, 9169, 5508, 594, 4811, 623, 2969, 10485, 2464, 269, 645, 7473, 5990, 700, 2752, 294, 2207, 18161, 19860, 4959, 8946, 2969, 5254, 19272, 10976, 2207, 14566, 8582, 654, 305, 3951, 2464, 589, 700, 5588, 5508, 700, 32670, 29865, 4932, 19006, 8946, 2969, 19294, 3198, 11553, 3722, 22310, 14877, 10691, 295, 5058, 269, 18040 ]

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

[ 609, 519, 2645, 547, 3717, 741, 8186, 543, 3914, 741, 2407, 652, 1761, 563, 2171, 1489, 1453, 609, 10295, 676, 3246, 519, 2645, 602, 2232, 1896, 1883, 2127, 540, 991, 912, 13263, 700, 20315, 308, 17803, 667, 14110, 5085, 8008, 16774, 454, 13263, 700, 20315, 308, 17803, 24639, 13048, 3036, 4811, 454, 291, 2106, 320, 309, 2135, 2904, 518, 11219, 28427, 568, 519, 3056, 8502, 540, 2792, 3435, 543, 3872, 2645, 2966, 547, 948, 1453, 609, 2792, 2591, 543, 1565, 7965, 269, 1452, 2645, 666, 948, 1453, 609, 10295, 5968, 609, 741, 3885, 693, 1753, 267, 8362, 7119, 538, 519, 4928, 543, 723, 519, 2702, 547, 2744, 6209, 7694, 607, 4079, 563, 8505, 1143, 543, 2792, 1548, 568, 2792, 888, 1432, 568, 1582, 4082, 888, 31636, 568, 519, 1184, 676, 799, 835, 1268, 3947, 1344, 547, 610, 11392, 1344, 689, 1776, 1268, 269, 898, 568, 998, 2792, 602, 1453, 2769, 741, 4555, 543, 2093, 267, 1451, 1007, 1919, 543, 1628, 3347, 609, 1866, 269, 9442, 666, 581, 9275, 267, 855, 621, 666, 849, 1491, 593, 824, 3029, 971, 607, 1129, 1893, 267, 1603, 610, 1210, 513, 1455, 1305, 540, 6698, 272, 269, 9442, 666, 849, 581, 538, 519, 1106, 540, 11132, 7215, 267, 2623, 267, 1560, 1893, 267, 610, 998, 519, 946, 540, 513, 2792, 3926, 563, 31636, 568, 849, 827, 11589, 945, 596, 2731, 616, 607, 513, 1268, 269, 898, 779, 827, 11589, 707, 23141, 543, 2348, 519, 2702, 547, 1397, 1004, 707, 2189, 7209, 267, 4978, 267, 4606, 543, 2093, 269, 20309, 568, 513, 3860, 957, 602, 3947, 1142, 540, 721, 513, 5639, 1765, 11225, 938, 2189, 1582, 547, 1346, 1472, 721, 563, 12148, 4082, 3340, 519, 1318, 2645, 693, 519, 1318, 942, 538, 1931, 547, 581, 3811, 269, 1280, 1082, 1453, 609, 10295, 267, 1582, 4082, 543, 1514, 4296, 609, 1866, 666, 581, 4101, 585, 1312, 519, 1126, 543, 741, 6068, 3283, 269, 12580, 2039, 689, 1360, 7646, 547, 4049, 269, 25792, 4191, 543, 2589, 540, 891, 2591, 949, 1331, 281, 3040, 454, 21918, 1243, 610, 3668, 540, 11913, 4633, 454, 11795, 22187, 11589, 2115, 543, 6499, 454, 292, 3273, 26515, 630, 3725, 701, 908, 513, 2262, 610, 8360, 602, 814, 1044, 5892, 4862, 994, 299, 1601, 540, 1913, 602, 519, 1126, 729, 5892, 2111, 547, 2161, 454, 1103, 1464, 547, 2697, 3615, 630, 335, 3233, 6863, 1646, 994, 11795, 22187, 16460, 2055, 454, 21918, 1243, 3007, 547, 1004, 543, 3615, 538, 519, 1604, 454, 303, 3233, 3210, 547, 11913, 5528, 454, 2108, 20236, 4082, 1590, 1780, 883, 2792, 585, 922, 20106, 1848, 23421, 590, 269, 21207, 454, 23890, 568, 513, 454, 6826, 4157, 601, 2006, 543, 631, 790, 24229, 267, 476, 1220, 276, 454, 1432, 568, 32433, 894, 543, 4244, 2792, 286, 15531, 513, 3070, 4119, 618, 894, 543, 4244, 2792, 630, 288, 3722, 264, 666, 1331, 1022, 4640, 1031, 547, 2769, 4555, 267, 2115, 267, 6499, 267, 543, 2093, 269, 6201, 540, 1455, 589, 3722, 2994, 1522, 1331, 912, 297, 3722, 15477, 24912, 21096, 6579, 312, 590, 6224, 3633, 308, 4041, 454, 335, 27348, 2792, 12545, 454, 278, 281, 1789, 7537, 9215, 476, 279, 281, 876, 7537, 454, 6624, 589, 3722, 2994, 946, 4605, 6698, 267, 5022, 267, 1913, 543, 2453, 547, 2099, 519, 6835, 2877, 547, 2911, 827, 3615, 267, 1004, 543, 4025, 269, 5753, 609, 2792, 2591, 666, 946, 589, 3722, 547, 7110, 741, 4540, 4633, 610, 5372, 4633, 602, 568, 711, 6198, 563, 288, 3722, 585, 1483, 3734, 5872, 589, 3722, 666, 581, 1031, 782, 1554, 1279, 538, 1022, 1604, 1141, 2792, 568, 2352, 269, 589, 3722, 711, 1152, 2337, 519, 1126, 5968, 741, 6835, 267, 855, 849, 3947, 873, 3308, 1344, 602, 666, 2333, 741, 1620, 540, 519, 3510, 269, 1280, 1383, 267, 6029, 513, 1126, 513, 2792, 2985, 609, 5961, 540, 7802, 3688, 1522, 948, 873, 1732, 1174, 519, 1184, 540, 3478, 21039, 543, 1450, 873, 547, 8362, 7119, 538, 519, 2534, 630, 324, 3052, 269, 1118, 5079, 267, 6085, 267, 3092, 12175, 2755, 519, 1126, 949, 723, 2789, 2081, 547, 5968, 741, 2115, 543, 6499, 267, 2348, 1569, 547, 606, 589, 3722, 3926, 786, 1450, 873, 547, 4228, 741, 4555, 543, 1451, 1007, 1913, 2059, 519, 1259, 563, 1326, 21039, 693, 1153, 476, 280, 281, 3393, 7537, 9215, 476, 1015, 281, 3393, 7537, 5858, 942, 476, 1015, 281, 3393, 7537, 9215, 476, 1556, 281, 876, 7537, 15165, 476, 1556, 281, 876, 7537, 9215, 476, 1321, 281, 876, 6751, 2979, 476, 280, 281, 1428, 7537, 9215, 476, 280, 281, 3393, 7537, 12446, 454, 28425, 9898, 17472, 2177, 476, 272, 281, 876, 6751, 9215, 476, 273, 281, 876, 6751, 2542, 476, 273, 281, 876, 6751, 9215, 476, 274, 281, 876, 6751, 1148, 476, 275, 281, 876, 6751, 9215, 476, 276, 281, 876, 6751, 1404, 454, 14110, 2894, 5058, 476, 276, 281, 876, 6751, 9215, 476, 276, 281, 3393, 6751, 3548, 454, 288, 3722, 3947, 1453, 519, 3308, 1344, 602, 666, 2333, 741, 1620, 538, 1022, 3510, 563, 21609, 3593, 281, 7802, 454, 19734, 1676, 513, 8602, 454, 278, 281, 876, 6751, 9215, 476, 278, 281, 1789, 6751, 1491, 454, 8005, 666, 946, 589, 3722, 286, 7102, 1126, 609, 3908, 4633, 7102, 1126, 945, 568, 26068, 610, 945, 814, 7411, 14379, 538, 782, 3871, 666, 4324, 689, 519, 946, 540, 606, 589, 3722, 3926, 269, 5753, 945, 798, 711, 723, 519, 2702, 547, 5968, 666, 5732, 2887, 3297, 538, 3384, 741, 1893, 543, 7924, 1983, 269, 2060, 589, 3722, 3457, 267, 1453, 666, 281, 3040, 454, 14399, 609, 20150, 13760, 1604, 610, 2534, 10391, 1893, 563, 14946, 22192, 543, 32615, 1893, 1983, 269, 2422, 811, 3617, 2792, 2409, 543, 1265, 811, 3255, 547, 7119, 269, 2920, 1947, 4497, 538, 519, 2792, 1184, 269, 4004, 6510, 811, 1950, 2035, 982, 741, 4540, 1983, 1131, 1450, 563, 288, 3722, 3457, 616, 1419, 2808, 950, 1453, 798, 711, 1020, 4633, 538, 519, 2757, 1259, 610, 1995, 1713, 8488, 538, 741, 2792, 1646, 269, 898, 568, 2760, 1932, 2038, 610, 1932, 3735, 547, 1376, 1210, 589, 3722, 3457, 267, 607, 789, 666, 2285, 513, 5639, 547, 1453, 609, 10295, 543, 1683, 873, 609, 519, 2645, 789, 991, 547, 5968, 609, 519, 1158, 1472, 873, 563, 2171, 917, 602, 1453, 609, 10295, 1419, 4865, 1082, 9342, 602, 1450, 873, 547, 581, 3811, 3755, 540, 3090, 543, 1257, 2861, 2792, 1949, 269, 273, 454, 288, 3722, 20905, 2052, 1862, 28509, 513, 1804, 2179, 540, 2534, 10391, 6863, 547, 1489, 2792, 538, 519, 1753, 267, 1153, 543, 2146, 563, 14399, 609, 20150, 13760, 1732, 950, 789, 1294, 1945, 8957, 1175, 6217, 621, 563, 14399, 609, 20150, 6056, 538, 513, 3308, 1259, 543, 11291, 3308, 2592, 543, 8823, 3362, 563, 288, 3722, 20905, 2052, 1862, 22548, 1518, 2035, 538, 513, 6405, 543, 3308, 1259, 950, 972, 616, 7965, 609, 17391, 8223, 563, 288, 3722, 20905, 2052, 1862, 10558, 1893, 538, 513, 5812, 267, 4143, 543, 3308, 6073, 563, 3963, 1058, 589, 3722, 581, 1031, 547, 1489, 1453, 609, 10295, 286, 1677, 3986, 2792, 634, 3119, 2601, 585, 1210, 589, 3722, 3457, 609, 1453, 609, 10295, 568, 547, 3986, 2792, 267, 711, 547, 5372, 610, 21391, 519, 4540, 2792, 1983, 269, 4107, 589, 3722, 3926, 3755, 3136, 547, 946, 741, 4540, 2792, 1983, 630, 324, 3052, 1421, 11913, 3074, 267, 11132, 7215, 267, 17267, 267, 3092, 4700, 538, 1840, 547, 519, 3926, 269, 589, 3722, 3457, 4324, 1453, 609, 10295, 1317, 789, 666, 948, 873, 2769, 2933, 267, 2333, 1514, 5872, 609, 1866, 267, 1489, 4081, 2773, 267, 543, 3986, 4606, 540, 1582, 10290, 269, 589, 3722, 6304, 1193, 1161, 547, 3313, 519, 2792, 267, 8965, 543, 1514, 2115, 540, 519, 1126, 267, 2697, 519, 1126, 779, 9342, 543, 6474, 1346, 9342, 547, 2009, 589, 3722, 3435, 563, 2414, 1489, 1565, 543, 7589, 2755, 972, 616, 1082, 5079, 2139, 3823, 589, 3722, 3457, 267, 621, 568, 1271, 547, 2015, 782, 540, 519, 1919, 602, 1118, 606, 589, 3722, 3926, 3617, 585, 513, 1126, 609, 10295, 563, 2690, 1453, 609, 10295, 267, 606, 589, 3722, 3926, 1058, 281, 21561, 7589, 538, 519, 4928, 267, 2146, 543, 1753, 269, 17372, 594, 7968, 543, 2123, 3853, 269, 8081, 12905, 543, 7317, 2792, 269, 3629, 6209, 6835, 547, 519, 2792, 4891, 630, 324, 3052, 1421, 24107, 267, 4116, 267, 2385, 267, 3092, 12175, 8081, 1893, 543, 7924, 1565, 998, 513, 7347, 543, 11295, 1893, 5943, 269, 11559, 3811, 1554, 3562, 6377, 5872, 563, 306, 4456, 2475, 2464, 519, 10790, 12239, 4629, 9215, 19532, 27912, 14877, 8863, 302, 5308, 292, 670, 3041, 14174, 309, 3036, 25492, 590, 2793, 290, 298, 6341, 568, 476, 275, 1296, 2025, 543, 814, 513, 5868, 540, 10295, 269, 1261, 14560, 27858, 267, 2835, 543, 22939, 513, 2603, 540, 942, 4730, 3544, 269, 6341, 1031, 547, 10544, 1010, 3993, 779, 1688, 543, 7485, 1200, 547, 519, 10051, 950, 646, 4941, 513, 15165, 269, 1261, 1131, 3006, 3956, 543, 6542, 1582, 268, 29880, 5615, 950, 646, 729, 8572, 547, 5968, 1010, 3903, 269, 4595, 972, 941, 865, 1082, 5079, 267, 6341, 779, 3993, 1131, 2253, 20803, 782, 540, 519, 3688, 267, 835, 693, 513, 942, 543, 7227, 585, 6341, 547, 4431, 269, 901, 1184, 729, 3833, 24858, 585, 1312, 6341, 543, 1010, 3993, 543, 1131, 1419, 1267, 538, 513, 2347, 15835, 6658, 269, 3767, 267, 6341, 7959, 1447, 21616, 950, 646, 3096, 519, 8575, 652, 549, 547, 3533, 3442, 1010, 5172, 15165, 267, 2671, 1010, 4555, 543, 2911, 827, 519, 1554, 779, 2621, 609, 1010, 3158, 563, 6826, 3617, 585, 519, 1126, 779, 2085, 543, 2792, 2702, 1377, 269, 3629, 2318, 8965, 7028, 563, 338, 30055, 1548, 3435, 616, 2139, 547, 948, 2087, 2792, 1983, 286, 589, 3722, 3457, 971, 607, 519, 8575, 652, 549, 543, 2473, 12304, 616, 2966, 547, 2743, 519, 3376, 2039, 540, 2115, 585, 2043, 609, 10295, 269, 667, 2106, 320, 309, 2135, 814, 5916, 1382, 609, 3532, 2029, 547, 1711, 519, 1034, 2347, 1893, 5943, 2139, 593, 589, 3722, 3457, 2221, 267, 3955, 288, 3722, 339, 269, 898, 568, 519, 12600, 1893, 5943, 1031, 593, 782, 667, 2106, 320, 309, 2135, 2472, 543, 666, 581, 1031, 547, 5000, 1893, 543, 7924, 1646, 267, 1514, 5872, 543, 7589, 538, 519, 1153, 267, 1753, 543, 2146, 5468, 563, 18204, 3603, 18342, 7207, 1450, 3755, 547, 1852, 1455, 7622, 14233, 267, 971, 607, 751, 4582, 2888, 543, 23861, 5716, 267, 607, 1134, 607, 27687, 1846, 543, 22311, 9280, 609, 18342, 6552, 8060, 610, 2473, 268, 1015, 27196, 563, 288, 2370, 3787, 827, 938, 3457, 454, 306, 548, 2131, 543, 31042, 267, 519, 8575, 652, 549, 22179, 1175, 476, 273, 269, 4037, 6550, 630, 338, 3916, 6007, 1040, 634, 7471, 8254, 2636, 596, 547, 7001, 8823, 607, 789, 4755, 267, 543, 14678, 1039, 873, 547, 1007, 543, 4540, 2792, 3817, 269, 12232, 609, 1079, 6007, 19383, 547, 2743, 707, 2115, 269, 9208, 6007, 16569, 585, 476, 280, 269, 276, 3108, 269, 4675, 2176, 513, 2647, 24365, 540, 5542, 2409, 267, 1519, 5905, 267, 7772, 22496, 267, 5651, 572, 3009, 3750, 9477, 630, 15290, 1031, 609, 519, 16685, 16655, 264, 543, 10856, 23249, 269, 21091, 18342, 7207, 1450, 3755, 547, 1852, 1455, 7622, 14233, 971, 607, 751, 4582, 2888, 543, 23861, 5716, 267, 607, 1134, 607, 27687, 1846, 543, 22311, 9280, 609, 18342, 6552, 8060, 610, 2473, 268, 1015, 27196, 563, 330, 2077, 773, 3096, 4605, 6698, 593, 606, 1535, 12304, 547, 4228, 1200, 4555, 269, 26701, 773, 568, 476, 1428, 1296, 2025, 269, 2701, 666, 3717, 1896, 1913, 267, 855, 1152, 3081, 835, 2262, 693, 513, 942, 543, 568, 711, 2111, 547, 2322, 1913, 1927, 547, 5968, 811, 2347, 4555, 269, 26701, 773, 4667, 547, 1174, 513, 2603, 540, 1018, 568, 2469, 593, 1472, 1200, 267, 855, 568, 711, 2111, 547, 5968, 1018, 1352, 568, 3206, 269, 2701, 568, 4358, 547, 1224, 543, 1174, 476, 273, 268, 274, 2262, 2241, 5220, 269, 4014, 26701, 773, 568, 2111, 547, 1224, 930, 1913, 267, 1352, 2115, 547, 946, 519, 4605, 6698, 593, 606, 2473, 12304, 547, 4228, 1200, 4555, 1141, 1200, 1699, 1893, 1983, 1131, 711, 1450, 269, 26701, 773, 779, 7924, 1983, 723, 2799, 1317, 1352, 814, 1569, 547, 1883, 15236, 267, 4295, 1913, 543, 2262, 8638, 269, 2701, 568, 849, 4358, 547, 2170, 811, 609, 454, 1607, 1507, 267, 16600, 268, 1636, 762, 3926, 2934, 513, 476, 276, 892, 15497 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1250, 318, 1372, 14585, 2209, 1104, 10956, 318, 527, 267, 3111, 318, 5976, 318, 16911, 692, 287, 325, 841, 318, 5976, 318, 16911, 454, 3698, 2161, 7069, 11243, 28442, 476, 2187, 825, 1820, 263, 535, 257, 20365, 2012, 568, 2715, 4067, 348, 15419, 287, 516, 701, 520, 318, 527, 454, 3698, 2161, 300, 20687, 9852, 20687, 2187, 825, 1820, 263, 535, 257, 346, 332, 20687, 348, 8206, 10590, 2020, 287, 516, 701, 520, 318, 527, 454, 3698, 1491, 4671, 6851, 263, 1101, 267, 2034, 476, 2187, 825, 1820, 263, 535, 257, 346, 14140, 348, 2715, 16149, 348, 834, 476, 9239, 287, 516, 701, 520, 318, 527, 454, 3698, 1491, 5332, 821, 263, 476, 476, 2187, 825, 1820, 2891, 5591, 4661, 729, 5293, 15419, 339, 787, 912, 825, 2161, 7069, 11243, 2891, 21691, 334, 5602, 21955, 1401, 4003, 607, 5470, 912, 825, 1820, 263, 5470, 476, 12467, 825, 1820, 30800, 25669, 300, 20687, 263, 834, 290, 984, 571, 918, 2967, 257, 12467, 2745, 30800, 339, 820, 4671, 6851, 263, 834, 300, 12011, 698, 328, 2580, 834, 2710, 257, 12467, 2745, 10797, 339, 820, 5332, 821, 4590, 0, 12163, 6524, 1376, 267, 979, 547, 519, 1739, 25680, 322, 794, 454, 268, 1496, 5575, 476, 1015, 1296, 540, 5616, 6006, 28488, 10059, 2517, 2998, 334, 3052, 331, 270, 274, 5633, 308, 331, 291, 2020, 12606, 632, 26417, 3758, 543, 26948, 547, 24440, 14067, 1442, 12774, 27406, 3097, 5475, 602, 5299, 519, 20927, 543, 519, 1101, 476, 276, 5638, 543, 1711, 519, 3758, 24440, 14067, 1442, 12774, 28804, 328, 27406, 692, 20701, 454, 5228, 2681, 4821, 1104, 5983, 267, 13910, 267, 2332, 454, 5814, 3760, 692, 3240, 318, 17882, 815, 3760, 269, 17882, 4590, 1012, 713, 568, 513, 512, 1716, 776, 952, 454, 529, 318, 13388, 3298, 815, 6936, 952, 1250, 318, 17882, 2652, 1412, 20360, 3298, 262, 3116, 8771, 454, 258, 2422, 6460, 6936, 585, 9486, 1949, 454, 8181, 263, 6460, 284, 529, 318, 13388, 3298, 476, 9239, 322, 12364, 24786, 815, 1412, 2998, 4355, 14067, 1442, 12774, 27406, 7055, 322, 12364, 18316, 815, 1930, 263, 26417, 24786, 12467, 21653, 815, 476, 271, 692, 1721, 1899, 538, 26417, 18316, 912, 825, 1820, 263, 476, 535, 257, 346, 20288, 14371, 3918, 2894, 348, 2715, 1467, 348, 257, 12467, 825, 2450, 23785, 272, 692, 2745, 263, 535, 257, 315, 333, 13707, 3515, 616, 2715, 476, 2450, 476, 7684, 257, 3738, 0, 1012, 5192, 2609, 538, 5044, 692, 3712, 832, 815, 1496, 834, 1042, 2580, 834, 13582, 2580, 834, 19990, 2580, 834, 18872, 257, 2073, 834, 19009, 2580, 834, 20580, 921, 257, 23378, 2745, 263, 535, 10454, 2609, 538, 2681, 5044, 616, 2715, 3712, 832, 348, 5602, 21653, 815, 7003, 263, 4778, 25589, 2745, 6600, 10454, 2450, 540, 2681, 5044, 568, 2715, 21653, 348, 5602, 18411, 1729, 1569, 606, 1808, 3693, 267, 3097, 933, 946, 741, 2990, 538, 519, 5044, 543, 23049, 454, 18257, 692, 2745, 263, 535, 10454, 6221, 538, 4994, 476, 271, 2433, 2715, 4778, 314, 271, 316, 7684, 257, 12467, 2745, 263, 535, 10454, 6221, 538, 4994, 476, 272, 2433, 2715, 4778, 314, 272, 316, 7684, 257, 12467, 2745, 263, 535, 10454, 6221, 538, 4994, 476, 273, 2433, 2715, 4778, 314, 273, 316, 7684, 257, 25589, 258, 1432, 4755, 950, 946, 606, 4994, 609, 1871, 11224, 547, 2450, 888, 28744, 263, 535, 10454, 3693, 538, 4994, 11224, 547, 2450, 476, 2715, 3712, 832, 314, 2450, 9948, 476, 7684, 834, 476, 25589, 2745, 263, 535, 10454, 2063, 3693, 267, 1141, 4994, 568, 2450, 910, 272, 630, 2715, 21653, 910, 272, 348, 3738, 2433, 2715, 3712, 832, 314, 2450, 910, 272, 9948, 476, 7684, 834, 476, 476, 9239, 258, 1018, 786, 1838, 754, 609, 2942, 4994, 1410, 454, 2745, 263, 535, 10454, 6221, 538, 4994, 910, 272, 2433, 2715, 4778, 314, 910, 272, 9948, 7684, 257, 12467, 2745, 263, 535, 10454, 6221, 538, 4994, 910, 273, 2433, 2715, 4778, 314, 910, 273, 9948, 7684, 257, 12467, 2745, 263, 535, 10454, 6221, 538, 4994, 910, 276, 2433, 2715, 4778, 314, 910, 276, 9948, 7684, 257, 12467, 2745, 263, 535, 10454, 6221, 538, 4994, 910, 277, 2433, 2715, 4778, 314, 910, 277, 9948, 7684, 257, 25589, 1012, 1548, 1838, 754, 950, 4994, 568, 2539, 982, 1101, 2990, 888, 28744, 263, 535, 10454, 6221, 538, 4994, 910, 278, 2433, 2715, 4778, 314, 910, 278, 9948, 7684, 257, 476, 9239, 1012, 11314, 907, 0, 1012, 3143, 7440, 1599, 454, 3698, 533, 532, 10031, 825, 5727, 1607, 30775, 819, 1175, 2132, 1862, 533, 532, 256, 2433, 264, 8173, 825, 2132, 834, 2710, 532, 1862, 533, 532, 15323, 258, 1079, 2053, 267, 519, 2132, 1871, 267, 568, 711, 4558, 10756, 4771, 4590, 4771, 10797, 258, 834, 2710, 532, 3267, 4771, 256, 1631, 568, 4558, 538, 513, 4756, 4840, 4771, 318, 19702, 762, 815, 533, 532, 30800, 3698, 835, 318, 30348, 263, 2012, 476, 2187, 825, 2132, 535, 257, 15916, 256, 3733, 2012, 568, 2715, 4067, 348, 5016, 821, 318, 30348, 2891, 8867, 334, 5602, 821, 318, 30348, 2891, 5353, 30807, 1014, 15419, 258, 952, 1100, 4661, 568, 1305, 267, 6494, 5470, 538, 7097, 454, 258, 821, 318, 30348, 10797, 3698, 9949, 318, 30348, 263, 2012, 815, 257, 297, 2129, 5500, 257, 476, 2187, 825, 2132, 535, 257, 15916, 2715, 4067, 348, 5016, 454, 29239, 318, 30348, 4590, 29239, 318, 30348, 2891, 8867, 334, 5602, 29239, 318, 30348, 2891, 295, 1872, 334, 5602, 258, 6494, 5470, 267, 952, 811, 7440, 616, 1305, 454, 258, 29239, 318, 30348, 263, 834, 297, 2737, 2580, 834, 19723, 928, 257, 25589, 3698, 1079, 318, 1173, 3701, 263, 1101, 267, 2063, 6889, 2710, 324, 257, 476, 2187, 825, 2132, 535, 257, 28982, 267, 2715, 14140, 348, 2715, 18431, 348, 5016, 18314, 318, 1173, 3701, 2891, 297, 517, 5500, 5602, 18314, 318, 1173, 3701, 2891, 297, 10224, 2580, 834, 2419, 1551, 553, 638, 1737, 334, 15419, 258, 952, 1152, 835, 4661, 568, 18593, 267, 621, 1590, 581, 519, 2063, 3283, 454, 258, 1219, 4636, 318, 817, 580, 618, 263, 1101, 6889, 297, 517, 5500, 2580, 2063, 476, 2187, 258, 825, 2132, 535, 257, 3528, 324, 676, 324, 2715, 14140, 348, 2715, 18431, 348, 5016, 3698, 1079, 318, 29239, 263, 1101, 6889, 297, 517, 5500, 2580, 2063, 815, 257, 25187, 5270, 257, 476, 2187, 825, 2132, 535, 257, 346, 14140, 348, 2715, 18431, 348, 568, 8384, 29154, 571, 918, 2967, 15323, 18314, 318, 29239, 4590, 18314, 318, 29239, 2891, 21659, 29560, 5602, 18314, 318, 29239, 263, 834, 299, 22654, 810, 2580, 834, 25405, 1408, 257, 12467, 18314, 318, 29239, 263, 2063, 6889, 299, 22654, 810, 2580, 1101, 6889, 25405, 1408, 5842, 257, 25589, 2745, 2891, 295, 770, 320, 3288, 642, 16695, 4816, 8442, 0, 454, 1721, 1297, 538, 2039, 263, 476, 272, 267, 476, 1556, 476, 2187, 825, 1820, 6600, 10454, 1699, 1297, 568, 2715, 15893, 348, 15419, 2745, 10797, 1721, 4484, 538, 834, 31435, 13426, 825, 1820, 263, 4484, 269, 21639, 3890, 476, 3738, 0, 1012, 454, 529, 14682, 797, 815, 6936, 454, 529, 10734, 611, 815, 476, 8771, 692, 1012, 18948, 7215, 692, 258, 11224, 2652, 454, 2745, 263, 535, 257, 276, 2652, 476, 276, 2433, 2715, 476, 276, 2652, 476, 276, 7684, 257, 476, 12467, 2745, 263, 535, 257, 276, 2652, 476, 277, 2433, 2715, 476, 276, 2652, 476, 277, 7684, 1422, 333, 257, 476, 25589, 258, 711, 3160, 547, 11203, 454, 2745, 263, 535, 257, 280, 11203, 476, 278, 2433, 2715, 476, 280, 11203, 476, 278, 7684, 257, 476, 12467, 2745, 263, 535, 257, 280, 11203, 476, 280, 2433, 2715, 476, 280, 11203, 476, 280, 7684, 1422, 333, 257, 476, 476, 9239, 258, 1447, 982, 2999, 454, 2745, 263, 535, 257, 276, 2999, 476, 277, 2433, 2715, 476, 276, 2999, 476, 277, 7684, 257, 476, 12467, 2745, 263, 535, 257, 276, 2999, 476, 276, 2433, 2715, 476, 276, 2999, 476, 276, 7684, 257, 476, 12467, 2745, 263, 535, 257, 276, 2999, 476, 275, 2433, 2715, 476, 276, 2999, 476, 275, 7684, 476, 1422, 333, 257, 476, 476, 9239, 258, 3152, 982, 28825, 2745, 263, 535, 257, 276, 3436, 476, 275, 2433, 2715, 476, 276, 3436, 476, 275, 7684, 257, 476, 12467, 2745, 263, 535, 257, 276, 3436, 476, 276, 2433, 2715, 476, 276, 3436, 476, 276, 7684, 257, 476, 12467, 2745, 263, 535, 257, 276, 3436, 476, 277, 2433, 2715, 476, 276, 3436, 476, 277, 7684, 476, 1422, 333, 257, 476, 476, 9239, 258, 1447, 610, 3160, 982, 13843, 454, 2745, 263, 535, 257, 276, 10922, 476, 276, 2433, 2715, 476, 276, 10922, 476, 276, 7684, 476, 834, 476, 12467, 2745, 263, 535, 257, 276, 10922, 476, 277, 2433, 2715, 476, 276, 10922, 476, 277, 7684, 476, 834, 476, 12467, 2745, 263, 535, 257, 276, 10922, 476, 275, 2433, 2715, 476, 276, 10922, 476, 277, 7684, 476, 1422, 333, 257, 476, 476, 9239, 258, 3152, 610, 3160, 982, 13843, 454, 2745, 263, 535, 257, 276, 13843, 476, 276, 2433, 2715, 476, 276, 13843, 476, 276, 7684, 257, 476, 12467, 2745, 263, 535, 257, 276, 13843, 476, 275, 2433, 2715, 476, 276, 13843, 476, 275, 7684, 257, 476, 12467, 2745, 263, 535, 257, 276, 13843, 476, 277, 2433, 2715, 476, 276, 13843, 476, 277, 7684, 476, 1422, 333, 257, 476, 12467, 0, 454, 12803, 24786, 815, 29717, 270, 325, 3796, 270, 3240, 5575, 17572, 17902, 262, 7531, 258, 15411, 513, 3758, 454, 3240, 18316, 815, 1930, 263, 3758, 24786, 267, 1412, 342, 262, 25589, 258, 1205, 9623, 540, 519, 3758, 454, 2745, 263, 535, 257, 11243, 2433, 2715, 3240, 18316, 20508, 348, 257, 12467, 2745, 263, 535, 257, 3674, 1849, 2216, 2433, 2715, 3240, 18316, 25379, 348, 257, 12467, 2745, 263, 535, 257, 28926, 2287, 7154, 2433, 2715, 3240, 18316, 6230, 1712, 348, 257, 25589, 258, 3503, 538, 3758, 454, 3240, 18316, 22182, 263, 834, 23911, 568, 15346, 10590, 12467, 3240, 18316, 22182, 263, 14307, 855, 922, 16830, 10084, 29441, 256, 2433, 17983, 12467, 3240, 18316, 25379, 30800, 258, 2561, 754, 538, 519, 3758, 454, 3240, 18316, 815, 1930, 263, 3758, 24786, 267, 1412, 320, 262, 12467, 3240, 18316, 22182, 2891, 1862, 543, 594, 849, 899, 10084, 5602, 3240, 18316, 25379, 10797, 258, 1224, 519, 1543, 454, 3240, 18316, 815, 1930, 263, 3758, 24786, 267, 1412, 337, 262, 12467, 3667, 318, 20880, 815, 1250, 18316, 18667, 1467, 4590, 2745, 263, 535, 10454, 1543, 540, 1250, 3758, 568, 281, 2715, 3667, 318, 20880, 348, 257, 12467, 3240, 18316, 25379, 4590, 0, 258, 530, 11781, 532, 3758, 267, 476, 277, 3029, 547, 2328, 513, 3758, 630, 855, 711, 3908, 547, 994, 258, 2328, 538, 513, 3758, 609, 530, 4781, 267, 786, 936, 20183, 519, 1543, 267, 18688, 27334, 9128, 8085, 692, 334, 10895, 815, 1496, 834, 303, 6680, 2580, 834, 4263, 23007, 2580, 834, 24465, 2580, 834, 306, 4822, 2580, 834, 9209, 545, 257, 476, 6540, 1012, 12861, 3758, 12084, 4905, 17902, 454, 5976, 1930, 263, 834, 334, 10895, 4905, 17902, 2580, 834, 342, 257, 3738, 607, 3758, 272, 912, 825, 3758, 272, 9884, 761, 3894, 263, 12084, 25589, 2745, 263, 834, 17572, 12084, 4905, 17902, 729, 2813, 257, 25589, 1012, 12861, 3758, 12084, 6349, 17902, 454, 5976, 1930, 263, 834, 334, 10895, 6349, 17902, 2580, 834, 342, 8442, 607, 3758, 273, 912, 825, 1496, 3758, 273, 22182, 263, 334, 4117, 264, 476, 585, 5836, 538, 12084, 476, 6540, 2745, 263, 834, 17572, 12084, 6349, 17902, 729, 2813, 257, 25589, 1012, 12861, 3758, 12084, 6734, 17902, 454, 5976, 1930, 263, 834, 334, 10895, 6734, 17902, 2580, 834, 342, 8442, 607, 3758, 274, 912, 825, 585, 5836, 538, 12084, 912, 2018, 3758, 274, 22182, 263, 5836, 994, 2018, 3758, 274, 22182, 263, 27719, 333, 257, 25589, 2745, 263, 834, 17572, 12084, 6734, 17902, 729, 2813, 257, 25589, 1012, 12861, 3758, 12084, 6860, 17902, 454, 5976, 1930, 263, 834, 334, 10895, 6860, 17902, 2580, 834, 342, 8442, 607, 3758, 275, 912, 825, 585, 5836, 538, 12084, 912, 2018, 3758, 275, 22182, 263, 535, 257, 346, 334, 4117, 4153, 333, 257, 25589, 2745, 263, 834, 17572, 12084, 6860, 17902, 729, 2813, 257, 12467, 27030, 1012, 12861, 3758, 12084, 4962, 17902, 454, 5976, 1930, 263, 834, 334, 10895, 4962, 17902, 2580, 834, 342, 257, 3738, 607, 3758, 276, 912, 825, 585, 5836, 538, 12084, 912, 1038, 1820, 263, 5836, 267, 3758, 284, 12803, 276, 25589, 2745, 263, 834, 17572, 12084, 4962, 17902, 729, 2813, 257, 25589, 1012, 2870 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 322, 5317, 281, 583, 325, 279, 454, 258, 769, 2772, 714, 30685, 525, 454, 15680, 597, 815, 834, 301, 4840, 11133, 284, 271, 454, 3916, 924, 284, 6358, 2891, 4504, 1238, 345, 8619, 1714, 561, 6403, 332, 924, 281, 19515, 604, 1929, 924, 10922, 476, 271, 912, 825, 2892, 597, 2652, 257, 306, 4840, 825, 1820, 834, 4504, 1238, 345, 8619, 796, 562, 14243, 1067, 334, 561, 6403, 332, 924, 27082, 16343, 4799, 12828, 912, 825, 1247, 630, 2892, 597, 2525, 257, 301, 257, 476, 2187, 1038, 1948, 670, 6210, 5430, 553, 454, 1038, 1820, 1003, 454, 1038, 1948, 9214, 618, 334, 454, 1038, 1003, 815, 1003, 1341, 476, 273, 454, 1038, 1948, 2920, 16343, 2512, 11456, 632, 2892, 5866, 23313, 547, 8619, 454, 1038, 952, 630, 1003, 3436, 1929, 924, 2567, 1948, 9473, 545, 18059, 632, 2892, 5866, 454, 2018, 2892, 597, 815, 834, 306, 4840, 0, 258, 322, 5317, 281, 583, 325, 279, 454, 258, 769, 2772, 714, 30685, 525, 454, 15680, 597, 815, 834, 301, 4840, 11133, 284, 272, 454, 6112, 630, 2892, 597, 2525, 257, 301, 257, 476, 2187, 825, 1948, 670, 6210, 5430, 553, 454, 825, 1820, 1003, 454, 825, 1948, 9214, 618, 334, 454, 825, 1003, 284, 1003, 1341, 272, 454, 825, 1948, 2920, 16343, 2512, 11456, 632, 2892, 5866, 23313, 547, 8619, 454, 825, 952, 630, 1003, 285, 2004, 476, 2567, 1948, 9473, 545, 18059, 632, 2892, 5866, 454, 1038, 2892, 597, 815, 834, 306, 4840, 0, 454, 3269, 3269, 454, 293, 9281, 302, 454, 20701, 5035, 29571, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 14403, 815, 29129, 825, 1219, 7903, 4311, 267, 6221, 17107, 1038, 29185, 1038, 2433, 12407, 6221, 281, 20504, 338, 6221, 607, 20368, 2678, 454, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 1582, 269, 14403, 6910, 263, 14403, 9239, 825, 1219, 1402, 4311, 2187, 1038, 8173, 1038, 901, 786, 4894, 7831, 6221, 454, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 2132, 1582, 269, 14403, 21014, 30800, 825, 1219, 32708, 4311, 2187, 1038, 8173, 1038, 14190, 338, 721, 547, 1294, 519, 7831, 2609, 454, 1038, 2433, 8873, 281, 7831, 6221, 454, 1038, 8173, 1038, 952, 1582, 269, 14403, 912, 2018, 2132, 1582, 269, 14403, 15631, 272, 2639, 1038, 3116, 912, 2018, 2132, 7183, 692, 825, 1219, 2450, 4311, 2187, 1038, 952, 1582, 269, 14403, 912, 2018, 2132, 7003, 4311, 269, 14403, 994, 1038, 3116, 912, 2018, 2132, 7183, 692, 825, 1219, 568, 24105, 4311, 17107, 1038, 8173, 1038, 6645, 6787, 519, 10518, 568, 2506, 27679, 610, 711, 454, 1038, 2433, 8873, 281, 645, 944, 10025, 454, 1038, 8173, 1038, 2132, 1582, 269, 14403, 2652, 29129, 454, 3698, 9258, 19304, 17107, 825, 10518, 815, 29571, 4590, 825, 1250, 1598, 815, 15234, 692, 825, 585, 1775, 538, 2039, 12759, 19304, 15892, 1038, 10518, 4877, 2313, 19304, 5157, 20285, 825, 1193, 815, 15234, 692, 825, 1247, 711, 10518, 18994, 24105, 10031, 1038, 7843, 815, 10518, 21014, 4590, 1038, 1193, 815, 1193, 1341, 7843, 454, 825, 2132, 1193, 692, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 9258, 2891, 306, 537, 332, 559, 15419, 19638, 692, 7531, 0, 5035, 29571, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 14403, 815, 29129, 825, 1219, 7903, 4311, 267, 6221, 17107, 1038, 29185, 1038, 2433, 12407, 6221, 281, 20504, 338, 6221, 607, 20368, 2678, 454, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 1582, 269, 14403, 6910, 263, 14403, 2020, 825, 1219, 1402, 4311, 2187, 1038, 8173, 1038, 901, 786, 4894, 7831, 6221, 454, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 2132, 1582, 269, 14403, 21014, 30800, 825, 1219, 32708, 4311, 2187, 1038, 8173, 1038, 14190, 338, 721, 547, 1294, 519, 7831, 2609, 454, 1038, 2433, 8873, 281, 7831, 6221, 454, 1038, 8173, 1038, 952, 1582, 269, 14403, 912, 2018, 2132, 1582, 269, 14403, 15631, 272, 2639, 1038, 3116, 912, 2018, 2132, 7183, 692, 825, 1219, 2450, 4311, 2187, 1038, 952, 1582, 269, 14403, 912, 2018, 2132, 7003, 4311, 269, 14403, 994, 1038, 3116, 912, 2018, 2132, 7183, 692, 825, 1219, 568, 24105, 4311, 17107, 1038, 8173, 1038, 6645, 6787, 519, 10518, 568, 2506, 27679, 610, 711, 454, 1038, 2433, 8873, 281, 645, 944, 10025, 454, 1038, 8173, 1038, 2132, 1582, 269, 14403, 2652, 29129, 454, 3698, 30775, 16325, 2187, 825, 10518, 815, 29571, 4590, 825, 1247, 1003, 3436, 476, 271, 912, 1038, 14230, 476, 815, 1003, 4939, 476, 273, 454, 1038, 10518, 4877, 2313, 263, 8145, 664, 1457, 994, 1038, 1003, 815, 1003, 12262, 476, 273, 692, 825, 9041, 1598, 815, 1412, 7055, 825, 1247, 711, 10518, 18994, 24105, 10031, 1038, 7843, 815, 10518, 21014, 4590, 1038, 9041, 1598, 815, 9041, 1598, 1341, 1193, 24867, 655, 2020, 825, 2132, 703, 263, 318, 1598, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 6600, 15635, 263, 2420, 4917, 0, 258, 13127, 363, 373, 421, 497, 378, 23989, 13213, 505, 27310, 418, 493, 496, 24662, 26406, 496, 31365, 454, 5035, 5903, 11966, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 12785, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 24450, 31374, 8266, 4311, 267, 2212, 281, 5903, 11966, 264, 9847, 5903, 11966, 912, 1038, 952, 2212, 568, 7183, 610, 2212, 12785, 568, 7183, 912, 2018, 2132, 2212, 454, 1038, 1007, 318, 3650, 815, 5903, 11966, 263, 272, 994, 1038, 1007, 318, 3650, 12785, 815, 2212, 454, 1038, 533, 815, 2212, 12785, 454, 1038, 2063, 815, 2212, 454, 1038, 1247, 533, 568, 711, 7183, 912, 2018, 31575, 815, 533, 12785, 454, 2018, 533, 272, 815, 1007, 318, 3650, 12785, 1948, 418, 490, 485, 12571, 495, 27962, 30678, 7511, 454, 2018, 533, 273, 815, 1007, 318, 3650, 1948, 418, 490, 485, 12571, 495, 16533, 493, 30678, 7511, 454, 2018, 1247, 533, 256, 284, 533, 272, 912, 3546, 952, 533, 272, 22183, 285, 284, 335, 22183, 912, 7386, 2736, 454, 3546, 533, 273, 284, 335, 272, 454, 3546, 533, 272, 284, 335, 272, 12785, 454, 2018, 952, 533, 2652, 533, 272, 912, 3546, 2063, 815, 533, 454, 3546, 533, 284, 339, 5404, 454, 3546, 3136, 454, 2018, 533, 12785, 815, 533, 272, 454, 2018, 533, 273, 12785, 815, 533, 454, 2018, 2063, 12785, 815, 31575, 454, 2018, 533, 815, 339, 5404, 454, 1038, 2132, 1007, 318, 3650, 12785, 0, 5503, 815, 3403, 3488, 21745, 924, 522, 562, 727, 798, 694, 340, 942, 281, 20298, 31642, 19553, 690, 657, 815, 703, 9272, 6600, 262, 346, 5503, 348, 28185, 537, 281, 1412, 17903, 341, 3218, 807, 815, 703, 9272, 6600, 262, 346, 5503, 348, 575, 534, 17924, 281, 1412, 17903, 11391, 622, 815, 703, 9272, 6600, 262, 346, 5503, 348, 3227, 520, 537, 281, 1412, 17903, 1457, 549, 3279, 815, 703, 9272, 6600, 262, 346, 5503, 348, 829, 1372, 340, 281, 1412, 264, 10142, 341, 3218, 807, 4671, 4973, 815, 642, 3218, 807, 2608, 476, 274, 1477, 341, 3218, 807, 318, 1911, 815, 3067, 19553, 690, 657, 2608, 476, 274, 1477, 11391, 622, 4671, 4973, 815, 3227, 622, 2608, 476, 272, 1477, 1457, 549, 3279, 4671, 4973, 815, 3541, 549, 3279, 2608, 476, 274, 1477, 335, 2632, 657, 318, 1146, 327, 657, 815, 642, 3218, 807, 4671, 4973, 1341, 3227, 622, 4671, 4973, 1477, 704, 1417, 783, 815, 533, 2632, 657, 318, 1146, 327, 657, 23218, 3218, 807, 318, 1911, 2608, 476, 1911, 5897, 2745, 6600, 262, 346, 5503, 348, 575, 534, 17924, 281, 346, 335, 2632, 657, 318, 1146, 327, 657, 348, 552, 829, 1372, 340, 281, 346, 1457, 549, 3279, 4671, 4973, 348, 20298, 2745, 6600, 262, 346, 5503, 348, 751, 557, 19804, 2600, 783, 632, 281, 2715, 704, 1417, 783, 348, 10807, 0, 5035, 17593, 294, 2940, 24998, 2187, 825, 1239, 815, 7183, 454, 825, 1453, 815, 7183, 692, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 21606, 815, 1412, 7055, 1038, 1582, 269, 18244, 815, 29129, 825, 1219, 1205, 12774, 4311, 2187, 1038, 23288, 2018, 16849, 519, 8034, 3960, 762, 1239, 540, 519, 5444, 563, 1038, 23288, 1038, 2132, 1582, 21606, 692, 825, 1219, 1305, 12774, 4311, 267, 1239, 2187, 1038, 23288, 2018, 5036, 519, 1239, 540, 713, 5444, 454, 1038, 23288, 1038, 1582, 21606, 815, 1239, 692, 825, 1219, 1039, 15220, 10242, 4311, 267, 1007, 2187, 1038, 1582, 269, 18244, 269, 2169, 754, 28956, 2020, 825, 1219, 1039, 15220, 843, 4311, 267, 1126, 267, 4994, 22561, 2187, 1038, 23288, 2018, 1520, 1091, 513, 1007, 5444, 1453, 547, 519, 1699, 5444, 563, 1038, 23288, 1038, 952, 4994, 2652, 7183, 912, 2018, 1582, 269, 18244, 6910, 263, 18876, 994, 1038, 3116, 912, 2018, 1582, 269, 18244, 27044, 263, 8161, 267, 1126, 2020, 825, 1219, 1205, 15220, 10242, 4311, 2187, 1038, 23288, 2018, 16849, 782, 519, 6090, 1453, 269, 1403, 519, 1699, 5444, 454, 2018, 814, 1100, 1453, 267, 1287, 621, 7024, 606, 8900, 1592, 563, 1038, 23288, 1038, 2132, 1582, 269, 18244, 692, 825, 1219, 4894, 15220, 843, 4311, 267, 3077, 2187, 1038, 1582, 269, 18244, 31927, 6025, 13759, 2020, 825, 1219, 5372, 15220, 843, 4311, 267, 3077, 267, 1007, 2187, 1038, 23288, 2018, 898, 30283, 513, 1126, 609, 513, 1007, 835, 269, 901, 1599, 568, 711, 25276, 454, 2018, 799, 1797, 621, 1281, 711, 3406, 585, 519, 11937, 540, 519, 5444, 781, 454, 2018, 1453, 269, 898, 7024, 519, 5444, 799, 786, 581, 8719, 563, 1038, 23288, 1038, 4994, 815, 1582, 269, 18244, 28827, 6025, 13759, 994, 1038, 2025, 815, 1582, 269, 18244, 27709, 2639, 1038, 1582, 269, 18244, 27709, 316, 815, 3077, 454, 1038, 2132, 2025, 692, 825, 1219, 1453, 20311, 4311, 2187, 1038, 2132, 7003, 4311, 269, 18244, 2020, 825, 1219, 31096, 4311, 2187, 1038, 23288, 2018, 5463, 1938, 765, 1430, 713, 5444, 568, 8034, 3960, 762, 610, 711, 563, 2018, 6936, 1797, 602, 713, 5444, 1058, 711, 581, 8034, 3960, 539, 563, 1038, 23288, 1038, 2132, 8771, 692, 825, 1219, 4573, 622, 4311, 267, 4573, 1807, 2187, 1038, 23288, 2018, 3096, 513, 23688, 1807, 1843, 547, 18348, 930, 540, 922, 1239, 563, 1038, 23288, 1038, 1239, 815, 4573, 1807, 6230, 583, 622, 4311, 10947, 12774, 15405, 1038, 1582, 15630, 12774, 16597, 2020, 825, 1219, 17626, 1125, 4311, 2187, 1038, 23288, 2018, 17626, 3278, 922, 1239, 543, 1453, 781, 1239, 883, 454, 2018, 513, 676, 11687, 2590, 563, 1038, 23288, 1038, 1239, 815, 1582, 10947, 12774, 4590, 1038, 952, 1239, 2652, 7183, 912, 2018, 1239, 815, 1412, 7055, 1038, 585, 1126, 538, 1582, 269, 18244, 912, 2018, 1239, 6834, 1126, 4732, 518, 658, 1125, 4590, 1038, 2132, 1239, 692, 825, 1219, 568, 318, 16029, 4311, 267, 824, 2187, 1038, 23288, 2018, 546, 16244, 454, 1038, 23288, 1038, 2132, 8771, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 23288, 2018, 22417, 519, 5444, 547, 676, 11687, 2590, 563, 1038, 23288, 1038, 2132, 1582, 30419, 23919, 10797, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 32046, 593, 570, 826, 7325, 476, 476, 275, 476, 1724, 281, 5325, 281, 2537, 476, 1001, 278, 5897, 287, 10461, 281, 9147, 2806, 903, 1873, 1779, 518, 1477, 18851, 5897, 5228, 2979, 1104, 6989, 5897, 3698, 694, 336, 8999, 17347, 8029, 825, 2132, 703, 17347, 16732, 330, 1341, 476, 272, 8358, 273, 10142, 258, 2889, 12378, 6724, 1477, 326, 284, 274, 1477, 327, 284, 276, 1477, 331, 284, 1911, 271, 5897, 258, 20412, 622, 2040, 7182, 1477, 331, 268, 284, 272, 1477, 10401, 284, 28776, 10857, 17320, 3418, 15883, 284, 28776, 10857, 10774, 3418, 24472, 284, 28776, 10857, 14370, 326, 265, 327, 264, 10142, 258, 8999, 23385, 540, 575, 543, 554, 1477, 2745, 14116, 265, 572, 336, 8999, 263, 10401, 264, 1341, 554, 265, 572, 336, 8999, 6357, 9508, 264, 910, 575, 265, 327, 265, 572, 336, 8999, 14116, 10397, 4297, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 32046, 593, 7325, 476, 866, 476, 1001, 278, 5897, 287, 10461, 281, 9147, 2806, 903, 1873, 1779, 518, 1477, 18851, 5897, 5035, 21121, 10831, 6769, 453, 18851, 31590, 4120, 7089, 4147, 1477, 453, 3519, 13935, 6769, 453, 453, 7407, 567, 910, 519, 1871, 540, 519, 6906, 1297, 2165, 1477, 453, 453, 3410, 825, 910, 519, 2165, 1297, 1477, 453, 18851, 5897, 22592, 6449, 8181, 9191, 1345, 267, 1871, 284, 272, 267, 2165, 284, 272, 8029, 453, 19677, 27841, 815, 1871, 1477 ]

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

[ 3515, 3444, 519, 3113, 693, 1034, 2899, 269, 8347, 519, 1863, 4569, 3118, 9498, 543, 1966, 24626, 2630, 547, 2560, 1635, 9236, 891, 1079, 11708, 267, 649, 666, 1294, 602, 519, 8880, 1899, 1449, 1568, 1360, 1134, 607, 606, 2653, 1449, 547, 1294, 952, 513, 1599, 568, 835, 3562, 14633, 610, 711, 269, 1284, 1985, 2015, 3252, 799, 2671, 1312, 540, 891, 4412, 268, 1068, 625, 269, 2290, 3562, 268, 3080, 9577, 269, 3767, 952, 594, 4941, 547, 1118, 713, 513, 1147, 11187, 543, 606, 7630, 633, 1599, 267, 594, 1131, 18419, 602, 11837, 543, 594, 1131, 1689, 535, 540, 476, 276, 547, 581, 552, 269, 3767, 3388, 568, 835, 3562, 14633, 269, 1284, 666, 1294, 602, 1256, 950, 1535, 476, 272, 568, 711, 3160, 547, 1535, 476, 273, 267, 621, 1869, 8120, 519, 1482, 1871, 585, 535, 3287, 1040, 1607, 2982, 602, 519, 1599, 535, 3287, 264, 815, 910, 276, 343, 476, 273, 1341, 476, 272, 568, 711, 513, 835, 547, 835, 1599, 907, 769, 1880, 267, 14322, 602, 782, 2034, 19195, 9864, 16755, 540, 535, 616, 6024, 593, 513, 29117, 540, 513, 2565, 1448, 1535, 267, 1287, 952, 519, 27744, 540, 519, 670, 612, 1014, 693, 1535, 616, 782, 2318, 267, 1287, 1535, 568, 513, 2199, 5934, 269, 9502, 281, 634, 1599, 568, 835, 3562, 14633, 952, 585, 1022, 1535, 272, 267, 1535, 273, 538, 519, 6389, 540, 535, 267, 1287, 535, 3287, 272, 264, 476, 382, 373, 535, 3287, 273, 1040, 2290, 547, 835, 3252, 281, 2290, 547, 835, 3252, 616, 1346, 3252, 538, 799, 1071, 26730, 664, 543, 2039, 616, 4010, 25528, 547, 835, 1776, 1775, 4318, 269, 769, 2091, 3252, 769, 2091, 12793, 1403, 535, 568, 513, 835, 3562, 14633, 1599, 609, 6389, 589, 543, 2039, 645, 267, 649, 666, 632, 683, 606, 11201, 1599, 535, 476, 272, 630, 5976, 6389, 645, 3738, 676, 519, 4341, 535, 476, 272, 12169, 264, 815, 1535, 952, 543, 1152, 952, 535, 3287, 264, 815, 586, 281, 901, 568, 513, 3280, 632, 562, 819, 540, 513, 1599, 267, 10502, 1317, 1142, 1871, 540, 586, 538, 519, 6389, 540, 535, 476, 272, 814, 4010, 835, 1535, 538, 589, 2404, 547, 621, 676, 519, 4341, 586, 815, 535, 3287, 1040, 634, 8880, 1899, 1449, 568, 513, 10375, 1505, 602, 666, 3313, 2436, 513, 2016, 1599, 814, 606, 11201, 267, 855, 811, 11932, 547, 1265, 856, 952, 519, 11201, 568, 849, 513, 1599, 907, 589, 1599, 602, 568, 711, 835, 3562, 14633, 936, 922, 3003, 6389, 949, 581, 835, 3562, 14633, 593, 851, 540, 922, 6389, 269, 634, 21222, 7267, 7412, 4530, 269, 11512, 875, 596, 666, 2995, 689, 922, 3113, 269, 2334, 568, 267, 519, 1482, 910, 7407, 568, 2760, 19610, 609, 1079, 1114, 268, 11161, 269, 1879, 1210, 519, 8880, 1899, 1449, 267, 581, 6297, 827, 922, 2953, 7664, 281, 1403, 596, 1265, 1256, 835, 8880, 1899, 602, 12969, 338, 519, 3113, 538, 811, 982, 835, 1448, 267, 1287, 519, 1599, 568, 711, 835, 3562, 14633, 269, 1656, 267, 1100, 586, 538, 519, 2039, 568, 519, 3239, 540, 811, 982, 835, 1535, 538, 519, 6389, 269, 21222, 7267, 7412, 4530, 269, 1403, 513, 1599, 10596, 519, 8880, 1899, 1449, 630, 7945, 607, 535, 3287, 6661, 332, 343, 17070, 267, 535, 3287, 6661, 1314, 476, 273, 1341, 321, 343, 25239, 630, 638, 7310, 1738, 1599, 264, 543, 535, 3287, 6661, 343, 476, 274, 1341, 320, 610, 535, 3287, 6661, 263, 343, 910, 320, 264, 476, 274, 264, 1287, 971, 1599, 568, 513, 835, 3562, 14633, 1599, 269, 3689, 3313, 952, 621, 781, 513, 1599, 547, 2253, 609, 267, 2899, 649, 917, 602, 649, 616, 2324, 609, 1599, 547, 3313, 952, 621, 781, 835, 547, 835, 269, 769, 824, 1913, 267, 1169, 3693, 540, 519, 1599, 781, 13798, 558, 664, 568, 519, 3239, 540, 693, 1034, 835, 3693, 540, 922, 6389, 269, 1403, 1022, 8880, 1899, 12969, 338, 519, 3113, 811, 982, 2899, 267, 1287, 519, 3113, 1281, 711, 2099, 513, 835, 3562, 14633, 1599, 269, 589, 835, 3562, 14633, 19359, 630, 528, 1979, 20287, 264, 689, 513, 1305, 2473, 547, 513, 1305, 962, 568, 513, 1599, 674, 2433, 2473, 9890, 962, 799, 568, 1312, 835, 3562, 14633, 543, 5196, 269, 5457, 602, 621, 568, 1360, 2009, 602, 513, 1599, 949, 723, 606, 11201, 855, 693, 519, 1482, 942, 267, 519, 11201, 568, 711, 513, 1599, 1317, 621, 3085, 1406, 1780, 519, 7299, 1899, 1449, 269, 8641, 519, 3830, 281, 901, 6207, 1871, 1599, 814, 586, 268, 11161, 602, 616, 19610, 609, 811, 982, 835, 1535, 17032, 267, 971, 607, 630, 275, 267, 476, 273, 264, 543, 630, 271, 267, 476, 273, 1040, 621, 781, 22548, 529, 950, 596, 1318, 1934, 269, 2290, 3562, 14633, 1599, 568, 849, 1572, 607, 7630, 633, 1599, 269, 1403, 513, 8880, 1899, 12969, 338, 519, 3113, 540, 519, 1599, 538, 811, 982, 835, 1747, 267, 519, 3252, 568, 10691, 835, 3562, 14633, 269, 2290, 3562, 268, 3080, 12793, 589, 1599, 535, 568, 476, 272, 910, 1729, 268, 476, 272, 952, 1100, 1079, 2609, 538, 519, 6389, 540, 535, 5330, 547, 519, 1482, 3693, 538, 519, 2039, 540, 535, 1547, 7151, 476, 278, 269, 2290, 268, 2414, 268, 3080, 12793, 543, 769, 2091, 12793, 269, 1422, 7445, 321, 1122, 532, 4981, 15478, 7711, 12528, 278, 4097, 280, 281, 8786, 267, 513, 1599, 666, 581, 1312, 835, 3562, 14633, 543, 5196, 269, 1280, 513, 9184, 983, 1599, 267, 5385, 519, 3403, 543, 3977, 9343, 547, 3489, 519, 11201, 269, 769, 6128, 267, 606, 7630, 633, 1599, 630, 10193, 1634, 607, 13297, 267, 610, 835, 3562, 14633, 1599, 264, 568, 513, 1599, 602, 7851, 3982, 2609, 540, 922, 6389, 547, 3982, 2609, 540, 922, 13798, 558, 664, 269, 6201, 540, 1483, 3734, 3871, 6719, 676, 835, 3562, 14633, 3252, 269, 901, 1599, 568, 711, 835, 3562, 14633, 269, 8074, 281, 586, 815, 535, 3287, 264, 568, 513, 1599, 952, 621, 10596, 519, 7299, 1899, 1449, 20193, 568, 513, 476, 272, 268, 272, 1599, 952, 621, 10596, 1312, 519, 7299, 1899, 1449, 543, 519, 8880, 1899, 1449, 269, 589, 3113, 540, 513, 1599, 666, 849, 581, 1031, 547, 3313, 2436, 513, 1599, 568, 835, 3562, 14633, 1210, 519, 8880, 1899, 1449, 281, 1403, 1142, 8880, 1899, 22613, 519, 3113, 540, 513, 1599, 693, 1100, 811, 982, 835, 1448, 267, 1287, 519, 1599, 568, 835, 3562, 14633, 269, 9747, 621, 568, 835, 547, 835, 1599, 269, 2290, 3562, 14633, 3252, 476, 273, 269, 4706, 3113, 568, 513, 29236, 267, 543, 1082, 8880, 3515, 2759, 519, 29236, 7466, 269, 2290, 3562, 268, 3080, 12793, 3487, 476, 272, 269, 1323, 2653, 1259, 547, 3313, 2436, 513, 1599, 568, 513, 835, 3562, 14633, 1599, 568, 547, 946, 519, 8880, 1899, 1449, 593, 519, 3113, 540, 519, 1599, 269, 589, 2656, 1449, 585, 513, 835, 3562, 14633, 1599, 568, 519, 8880, 1899, 1449, 269, 1280, 513, 1599, 547, 723, 606, 11201, 267, 621, 1590, 581, 835, 3562, 14633, 630, 10139, 519, 8880, 1899, 1449, 1040, 589, 1599, 585, 799, 1169, 3693, 540, 519, 2039, 540, 519, 1599, 14687, 547, 4010, 835, 3693, 540, 519, 6389, 269, 3080, 3562, 14633, 568, 1419, 2854, 476, 272, 268, 272, 269, 9717, 602, 513, 543, 536, 616, 711, 3160, 547, 476, 271, 267, 1397, 602, 782, 5276, 3252, 616, 835, 3562, 14633, 3252, 269, 630, 321, 264, 2986, 519, 1079, 11708, 596, 4963, 743, 539, 267, 799, 568, 835, 3562, 14633, 286, 1924, 585, 851, 589, 267, 519, 1599, 568, 476, 272, 547, 476, 272, 952, 1142, 3693, 814, 513, 2189, 3239, 269, 1452, 3309, 3252, 1611, 602, 513, 2582, 1449, 1281, 711, 2285, 2614, 1344, 547, 2708, 4628, 875, 519, 6797, 568, 8647, 282, 693, 2547, 2947, 1114, 6797, 1599, 4255, 616, 2838, 269, 1924, 713, 568, 1312, 5196, 543, 835, 3562, 14633, 269, 6423, 1547, 7151, 540, 2290, 547, 2290, 9577, 269, 2290, 3562, 14633, 1599, 25389, 1312, 7299, 1899, 1449, 607, 1134, 607, 8880, 1899, 1449, 269, 5999, 609, 10298, 7726, 476, 272, 1772, 1599, 535, 3989, 676, 3267, 589, 3113, 543, 519, 8880, 1899, 1449, 666, 948, 547, 2626, 519, 1657, 2243, 269, 2991, 2348, 8854, 998, 519, 8631, 2016, 1657, 267, 649, 4126, 602, 519, 1053, 1131, 723, 6956, 834, 1215, 547, 3313, 2436, 513, 1599, 568, 835, 547, 835, 610, 711, 834, 269, 22307, 4536, 476, 23713, 272, 3252, 585, 851, 645, 269, 2290, 3562, 14633, 12793, 901, 3381, 9727, 875, 547, 3313, 952, 513, 1599, 568, 835, 3562, 14633, 1210, 519, 8880, 1899, 1449, 269, 589, 1599, 568, 711, 835, 3562, 14633, 952, 1079, 1114, 2609, 538, 519, 6389, 5330, 547, 519, 1482, 3693, 538, 519, 2039, 269, 14581, 15048, 28171, 535, 3287, 264, 815, 1535, 317, 274, 1341, 476, 274, 28682, 568, 513, 835, 3562, 14633, 1599, 269, 901, 568, 1634, 607, 519, 7299, 1899, 1449, 269, 3973, 1152, 835, 1871, 538, 519, 6389, 666, 5330, 547, 835, 1871, 538, 519, 2039, 269, 26432, 1899, 1449, 267, 21222, 7267, 1899, 1449, 267, 2290, 3562, 14633, 1599, 269, 875, 547, 2697, 513, 476, 272, 547, 476, 272, 1599, 267, 543, 946, 519, 8880, 1899, 1449, 269, 3252, 269, 1546, 16667, 333, 819, 476, 274, 269, 272, 269, 21222, 7267, 1899, 1449, 269, 7151, 476, 278, 269, 589, 1599, 535, 814, 606, 11201, 1599, 267, 535, 910, 272, 267, 952, 543, 1152, 952, 535, 568, 835, 3562, 14633, 269, 1548, 568, 513, 835, 3562, 14633, 1599, 286, 5457, 602, 513, 21718, 568, 513, 1305, 540, 10288, 8424, 2016, 1022, 1535, 267, 972, 568, 1152, 835, 586, 602, 666, 581, 19610, 609, 602, 1535, 269, 28977, 602, 1780, 519, 7299, 1899, 1449, 616, 11708, 540, 3252, 269, 769, 513, 835, 3562, 14633, 1599, 267, 2016, 1022, 586, 972, 568, 1152, 835, 1535, 602, 666, 581, 19610, 609, 519, 2016, 586, 269, 972, 616, 1100, 1079, 2418, 723, 519, 1482, 11201, 269, 1284, 1289, 713, 513, 1979, 20287, 282, 513, 16681, 2012, 585, 606, 538, 3200, 1043, 1599, 269, 476, 274, 269, 634, 3801, 693, 513, 3070, 5681, 540, 835, 3562, 14633, 3252, 568, 513, 835, 3562, 14633, 1599, 630, 296, 1589, 7933, 2632, 917, 875, 547, 6961, 1040, 769, 824, 1913, 267, 1142, 1535, 538, 519, 6389, 814, 4010, 835, 3239, 538, 519, 2039, 269, 5990, 670, 3036, 22003, 2177, 307, 3201, 700, 12114, 570, 12239, 1403, 1022, 2016, 8880, 1899, 10596, 998, 519, 3113, 540, 513, 1599, 693, 1034, 835, 942, 267, 1287, 602, 1599, 568, 835, 3562, 14633, 269, 1284, 786, 946, 713, 15333, 27168, 540, 519, 4214, 540, 835, 547, 835, 3252, 547, 1265, 856, 2436, 513, 2016, 1599, 568, 513, 835, 547, 835, 269, 7151, 281, 1411, 666, 849, 3533, 2995, 952, 513, 1599, 568, 835, 547, 835, 676, 7421, 621, 781, 3113, 609, 513, 2241, 8880, 11060, 1449, 269, 3267, 8641, 1227, 267, 649, 666, 3313, 952, 513, 1599, 568, 8096, 272, 268, 272, 15478, 676, 1210, 519, 21222, 7267, 7412, 4530, 267, 799, 2829, 281, 589, 3113, 4564, 513, 8096, 272, 268, 272, 15478, 1599, 952, 543, 1152, 952, 1169, 8880, 1899, 12969, 338, 602, 3113, 693, 1034, 2899, 269, 634, 8880, 1899, 1449, 568, 849, 2653, 547, 4019, 269, 476, 274, 269, 634, 1599, 535, 3287, 6661, 343, 476, 273, 568, 711, 835, 3562, 14633, 1317, 535, 263, 273, 264, 815, 535, 8987, 273, 1040, 901, 1449, 1568, 1317, 8880, 3515, 2099, 3586, 586, 268, 11161, 282, 8754, 267, 952, 513, 8880, 1899, 476, 273, 269, 589, 1599, 568, 835, 3562, 14633, 952, 543, 1152, 952, 1169, 8880, 1899, 12969, 338, 519, 3113, 540, 519, 1599, 538, 693, 1034, 835, 1448, 269, 1924, 2094, 972, 616, 2947, 2609, 538, 519, 6389, 543, 2185, 2609, 538, 519, 2039, 267, 621, 781, 711, 2009, 585, 519, 1599, 547, 581, 835, 23179, 269, 2983, 6248, 4530, 21222, 7267, 7412, 4530, 3040, 1403, 930, 8880, 1899, 12969, 338, 519, 3113, 540, 519, 1599, 811, 982, 2899, 267, 1287, 519, 1599, 568, 711, 835, 3562, 14633, 269, 2290, 3562, 268, 3080, 4856, 22046, 775, 1284, 723, 2808, 3252, 799, 616, 835, 3562, 14633, 543, 3252, 799, 616, 5196, 269, 901, 1797, 602, 2016, 1022, 1535, 267, 972, 568, 1152, 835, 586, 602, 666, 581, 19610, 609, 602, 1535, 269, 1924, 267, 519, 30775, 2389, 542, 538, 7612, 476, 278, 568, 711, 835, 3562, 14633, 1317, 1079, 1114, 2609, 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 ]

[ 1070, 519, 7552, 1152, 3217, 476, 275, 269, 276, 3108, 269, 5590, 909, 543, 4194, 513, 1062, 540, 2560, 692, 5415, 5381, 5999, 0, 291, 14110, 7991, 692, 297, 303, 4165, 17480, 692, 16829, 593, 3040, 21213, 593, 692, 9199, 6137, 24467, 1862, 547, 7038, 519, 3214, 692, 16352, 1079, 5863, 569, 6505, 1453, 568, 1250, 6574, 26460, 267, 543, 713, 27579, 568, 4758, 803, 519, 4316, 547, 1397, 873, 519, 1826, 540, 960, 594, 798, 267, 799, 7959, 2731, 8799, 32473, 2020, 1607, 3018, 519, 1888, 540, 8840, 1524, 513, 1966, 883, 4130, 543, 12863, 4247, 3357, 909, 267, 543, 609, 519, 948, 540, 930, 26633, 267, 11680, 543, 513, 1396, 516, 540, 1216, 267, 594, 7307, 547, 1205, 721, 782, 5671, 6137, 6632, 543, 4440, 8297, 1441, 519, 2713, 4055, 6989, 269, 570, 612, 267, 593, 519, 824, 1688, 267, 1500, 513, 1360, 4277, 8343, 827, 875, 519, 4130, 11680, 1131, 1205, 4904, 1101, 607, 519, 2179, 540, 1216, 538, 519, 12826, 6659, 547, 3382, 873, 780, 763, 1482, 1883, 5813, 666, 581, 1031, 547, 10994, 519, 29212, 4764, 1216, 1966, 593, 2274, 564, 13892, 269, 1284, 991, 547, 1265, 938, 834, 322, 5725, 257, 543, 5173, 875, 1454, 1216, 789, 666, 3180, 2016, 519, 1216, 1377, 540, 519, 834, 11312, 331, 257, 3294, 780, 18606, 10818, 3070, 10490, 264, 13634, 604, 630, 288, 32324, 2999, 476, 273, 264, 2132, 476, 271, 16963, 6247, 2040, 1103, 23059, 8624, 338, 815, 630, 1551, 267, 554, 267, 575, 267, 1376, 267, 1439, 264, 18092, 13634, 2280, 2040, 815, 476, 271, 3248, 1721, 630, 2280, 1775, 815, 1376, 1341, 476, 272, 282, 1775, 2999, 1439, 282, 1775, 10030, 264, 2040, 6834, 2855, 5157, 30092, 8873, 554, 2608, 575, 910, 2040, 3248, 8679, 6247, 1265, 9202, 8624, 815, 630, 1551, 267, 897, 296, 11459, 267, 897, 11749, 264, 18092, 13634, 2280, 3193, 815, 476, 271, 3248, 1721, 630, 2280, 1775, 815, 897, 296, 11459, 1341, 476, 272, 282, 1775, 2999, 2855, 32324, 282, 1775, 10030, 264, 13634, 604, 630, 1551, 5157, 316, 13843, 897, 11749, 264, 13634, 8873, 1775, 282, 12262, 8873, 519, 1985, 6241, 693, 2547, 607, 1164, 607, 589, 5157, 2639, 348, 3116, 13634, 10946, 815, 4569, 27982, 32384, 267, 2855, 5157, 316, 5148, 12262, 10177, 1188, 519, 5207, 6967, 6241, 454, 8679, 8679, 2260, 8873, 4994, 540, 476, 3193, 952, 1336, 267, 6382, 897, 296, 11459, 607, 2063, 18992, 454, 8873, 4569, 27982, 19906, 28827, 8170, 32384, 267, 897, 296, 11459, 1070, 897, 296, 11459, 11850, 8679, 6247, 9498, 815, 630, 1551, 264, 18092, 13634, 2280, 986, 785, 28979, 815, 476, 271, 3248, 2280, 7934, 815, 476, 271, 3248, 2280, 4463, 815, 476, 271, 3248, 2280, 1985, 8624, 815, 476, 271, 3248, 1721, 630, 2280, 1775, 815, 476, 271, 282, 1775, 2999, 2855, 32324, 282, 1775, 10030, 264, 13634, 604, 630, 1551, 5157, 316, 3436, 476, 271, 264, 13634, 10113, 8624, 815, 1265, 9202, 8624, 19906, 267, 1775, 267, 2855, 5157, 8079, 3248, 604, 630, 10113, 8624, 8206, 2525, 1775, 264, 13634, 326, 777, 815, 1985, 8624, 910, 1775, 910, 476, 272, 3248, 19417, 815, 4569, 269, 2381, 19906, 5157, 3910, 2855, 314, 10113, 8624, 8079, 3248, 571, 785, 28979, 6834, 2040, 1103, 23059, 8624, 338, 19906, 267, 4463, 267, 7934, 267, 1775, 267, 1985, 8624, 11850, 328, 815, 1985, 8624, 910, 476, 272, 3248, 8679, 8679, 8679, 8873, 986, 785, 28979, 3248, 8679, 8873, 9498, 10490, 11850, 8679, 32526, 5445, 4769, 1405, 2307, 803, 827, 519, 678, 29025, 6988, 540, 519, 5690, 855, 594, 5143, 873, 19037, 269, 898, 781, 744, 263, 272, 264, 2230, 543, 744, 3799, 264, 942, 543, 621, 10443, 538, 476, 6321, 916, 609, 476, 4097, 269, 280, 11586, 540, 3965, 865, 621, 729, 1732, 982, 1018, 476, 11011, 269, 4343, 260, 540, 519, 824, 3214, 3357, 909, 609, 269, 3502, 3983, 585, 513, 476, 278, 1032, 2025, 256, 0, 273, 3108, 3516, 661, 6369, 2259, 543, 6044, 585, 476, 278, 628, 3446, 267, 8720, 2542, 8223, 543, 6863, 269, 1325, 11220, 547, 5871, 11759, 3557, 11621, 585, 7335, 281, 9085, 282, 7335, 281, 22252, 1049, 7956, 282, 543, 18500, 21733, 9974, 543, 2422, 780, 279, 3108, 3516, 6258, 585, 1863, 827, 2979, 267, 1148, 267, 2780, 5752, 267, 9297, 267, 6323, 267, 7998, 267, 7350, 267, 4915, 267, 8804, 267, 1686, 267, 543, 811, 269, 16679, 9142, 568, 513, 18758, 609, 519, 5692, 540, 3246, 513, 1863, 267, 1158, 11665, 2069, 585, 2560, 692, 275, 3108, 3516, 692, 272, 269, 20134, 2338, 281, 1840, 543, 12408, 269, 2271, 549, 547, 4946, 2942, 2338, 281, 20134, 2338, 281, 1840, 543, 12408, 2271, 549, 547, 18946, 2942, 2338, 281, 20134, 2338, 281, 1840, 543, 12408, 17006, 1299, 18946, 609, 2258, 2510, 593, 519, 1297, 1899, 281, 20134, 2338, 281, 1840, 543, 12408, 17006, 1299, 18946, 9981, 281, 20134, 2338, 281, 1840, 543, 12408, 563, 273, 269, 20134, 2338, 281, 8691, 543, 6498, 269, 25092, 1299, 7941, 2942, 2338, 281, 20134, 2338, 281, 8691, 543, 6498, 18527, 1299, 6498, 2262, 2042, 609, 2258, 2510, 281, 20134, 2338, 281, 8691, 543, 6498, 4197, 14921, 543, 12270, 8454, 281, 20134, 2338, 281, 8691, 543, 6498, 563, 274, 269, 17773, 267, 17447, 267, 1299, 21159, 269, 20593, 1154, 8454, 547, 17447, 281, 17773, 267, 17447, 267, 1299, 21159, 17006, 1299, 18946, 7787, 2338, 281, 17773, 267, 17447, 267, 1299, 21159, 20587, 2262, 2042, 281, 17773, 267, 17447, 267, 1299, 21159, 563, 275, 269, 26162, 1299, 14354, 3347, 269, 15580, 2042, 609, 8454, 281, 26162, 1299, 14354, 3347, 19693, 540, 8167, 1275, 281, 26162, 1299, 14354, 3347, 14424, 543, 4612, 21635, 540, 8167, 1275, 2433, 26162, 1299, 14354, 3347, 563, 276, 269, 25285, 267, 4834, 267, 1299, 16526, 269, 26157, 899, 2474, 281, 25285, 267, 4834, 267, 1299, 16526, 634, 2733, 5737, 3959, 1299, 6697, 7215, 281, 25285, 267, 4834, 267, 1299, 16526, 3955, 31147, 5276, 7215, 281, 25285, 267, 4834, 267, 1299, 16526, 5565, 9912, 4834, 25644, 281, 25285, 267, 4834, 267, 1299, 16526, 563, 277, 269, 16387, 269, 9351, 543, 18592, 540, 10580, 281, 16387, 9351, 543, 18592, 4161, 2042, 281, 16387, 26432, 267, 14911, 267, 543, 24045, 7285, 281, 16387, 31932, 5086, 2042, 281, 16387, 563, 278, 269, 10803, 543, 5506, 269, 9978, 5506, 281, 10803, 543, 5506, 17438, 3631, 281, 10803, 543, 5506, 3281, 895, 2621, 543, 3732, 5624, 281, 10803, 543, 5506, 780, 32051, 281, 16679, 30028, 7005, 1893, 6575, 692, 274, 3108, 3516, 13281, 3435, 547, 16526, 269, 630, 28926, 839, 513, 1110, 531, 264, 2290, 9912, 16526, 1806, 269, 630, 28926, 839, 513, 1110, 531, 264, 2290, 9912, 16526, 281, 910, 276, 322, 18016, 476, 1428, 269, 630, 28926, 839, 513, 1110, 531, 264, 2290, 9912, 8635, 2262, 1966, 269, 630, 28926, 839, 513, 1110, 531, 264, 2290, 9912, 16526, 2689, 780, 32051, 281, 16679, 30028, 7005, 1565, 3992, 692, 9617, 3767, 16679, 9142, 21153, 8017, 476, 278, 628, 6103, 6030, 267, 4855, 543, 6443, 2929, 540, 1863, 2228, 6030, 998, 13056, 336, 4211, 6847, 269, 4467, 692, 272, 3108, 3516, 661, 6369, 2259, 5751, 630, 15883, 264, 585, 476, 273, 526, 547, 476, 280, 628, 3446, 267, 8720, 2542, 8223, 543, 6863, 269, 1325, 11220, 547, 5871, 11759, 3557, 11621, 585, 7335, 281, 9085, 282, 7335, 281, 22252, 1049, 7956, 267, 543, 18500, 21733, 9974, 543, 2422, 780, 277, 3108, 3516, 5192, 4712, 585, 476, 278, 628, 3446, 2979, 256, 6258, 519, 1983, 602, 786, 1305, 596, 909, 585, 1967, 538, 2942, 1297, 4238, 282, 8454, 267, 17447, 267, 543, 21159, 282, 3928, 543, 14354, 3347, 282, 7215, 267, 4834, 267, 543, 16526, 282, 9511, 282, 543, 7194, 543, 5506, 780, 277, 3108, 3516, 18049, 269, 8551, 543, 23408, 269, 18049, 269, 589, 5618, 4367, 547, 8239, 269, 13772, 606, 4367, 3381, 476, 273, 281, 5379, 476, 273, 3764, 476, 5379, 7643, 269, 18049, 568, 519, 4015, 540, 3652, 543, 14908, 602, 1118, 4654, 979, 269, 901, 3296, 568, 827, 9208, 1977, 2296, 267, 855, 972, 781, 1945, 1934, 585, 3025, 269, 3399, 1565, 780, 279, 3108, 3516, 6092, 13517, 269, 16679, 9142, 12896, 332, 4115, 6424, 28039, 13318, 668, 7143, 3699, 596, 547, 1010, 5172, 1888, 281, 519, 1353, 540, 1893, 267, 922, 3652, 267, 543, 922, 14908, 269, 1635, 1620, 2296, 1107, 676, 6340, 621, 267, 676, 1603, 621, 267, 676, 2542, 713, 1360, 4845, 1107, 596, 616, 513, 6121, 332, 4115, 3054, 256, 476, 272, 269, 476, 273, 780, 32051, 281, 2296, 20043, 692, 9617, 3767, 6226, 883, 938, 5399, 540, 476, 278, 628, 3446, 6030, 269, 4855, 1187, 543, 2502, 3381, 4245, 593, 1158, 1686, 267, 1272, 2257, 267, 2168, 2257, 543, 1454, 811, 269, 3776, 4274, 16929, 1118, 1256, 519, 1034, 2352, 692, 32051, 281, 6732, 20043, 692, 273, 3108, 3516, 16679, 9142, 814, 1582, 19550, 267, 7317, 1543, 734, 1410, 2075, 2478, 267, 7044, 543, 4930, 734, 1721, 1053, 538, 1169, 3446, 543, 538, 1034, 2101, 1641, 2127, 269, 898, 568, 782, 1863, 543, 1875, 10687, 14293, 543, 568, 1500, 2009, 676, 24960, 545, 1489, 689, 1004, 899, 596, 269, 6423, 938, 5901, 15526, 4804, 4199, 2985, 585, 811, 1344, 593, 3478, 3323, 609, 16679, 9142, 780, 32051, 281, 5131, 20043, 692, 277, 3108, 3516, 16679, 9142, 5131, 6732, 20043, 267, 16497, 1299, 6657, 6258, 585, 1863, 827, 2979, 267, 1148, 267, 2780, 5752, 267, 9297, 267, 6323, 267, 7998, 267, 7350, 267, 4915, 267, 8804, 267, 1686, 267, 543, 811, 269, 16679, 9142, 568, 513, 18758, 609, 519, 5692, 540, 3246, 513, 1863, 267, 1158, 11665, 2069, 585, 4896, 267, 9170, 780, 32051, 281, 6732, 20043, 692, 272, 3108, 3516, 16679, 9142, 2979, 2259, 269, 722, 491, 3776, 1007, 5192, 4712, 585, 3446, 1377, 6030, 616, 3501, 585, 519, 1376, 540, 513, 1007, 1153, 1032, 609, 741, 1445, 593, 519, 1898, 2979, 1983, 596, 786, 991, 585, 707, 14232, 1153, 1032, 269, 722, 491, 4495, 596, 723, 27058, 519, 15775, 4712, 1576, 267, 596, 666, 1847, 593, 547, 707, 3446, 1377, 1576, 269, 8347, 547, 1305, 513, 3804, 540, 1377, 532, 909, 693, 692, 32051, 281, 5131, 20043, 692, 273, 3108, 3516, 5345, 534, 11066, 269, 1284, 798, 711, 723, 4867, 723, 2626, 10569, 2139, 585, 519, 2259, 2042, 269, 1717, 267, 1247, 519, 1053, 616, 3257, 519, 2259, 2042, 267, 789, 666, 946, 519, 670, 842, 4183, 585, 14406, 2055, 547, 2070, 513, 1900, 8386, 9912, 3070, 547, 519, 1966, 269, 3958, 267, 952, 596, 3651, 1808, 1543, 547, 707, 1053, 267, 596, 666, 2070, 519, 2055, 630, 663, 692, 32051, 281, 5131, 20043, 692, 273, 3108, 3516, 16679, 9142, 568, 835, 540, 519, 1034, 1031, 2979, 4609, 538, 519, 1158, 267, 585, 1434, 2601, 269, 8866, 666, 1451, 827, 2979, 267, 2257, 543, 2029, 630, 15200, 811, 264, 689, 2038, 10026, 2157, 547, 519, 2852, 1377, 543, 3564, 269, 968, 15447, 1578, 7851, 892, 1577, 596, 3362, 3950, 707, 1126, 779, 3356, 269, 3371, 779, 875, 835, 32059, 2385, 3096, 16679, 9142, 585, 1200, 476, 278, 628, 1178, 1457, 780, 32051, 281, 5131, 20043, 692, 276, 3108, 3516, 3776, 5985, 813, 267, 16679, 9142, 8866, 267, 568, 2141, 2139, 607, 513, 1863, 1565, 4199, 269, 4913, 267, 649, 8275, 602, 1082, 3845, 1565, 3681, 2154, 513, 3926, 267, 543, 649, 917, 621, 779, 1271, 547, 3970, 5496, 942, 269, 1452, 1863, 7792, 2238, 2709, 606, 1055, 1606, 10547, 1565, 4781, 585, 3885, 547, 2972, 269, 25873, 998, 519, 3681, 2630, 547, 1265, 1187, 267, 7317, 2560, 692, 32051, 281, 898, 20043, 692, 280, 3108, 3516, 4804, 693, 16679, 9142, 568, 2141, 1863, 256, 2353, 540, 16679, 9142, 779, 5399, 540, 11967, 267, 4441, 268, 7955, 539, 7044, 267, 4930, 267, 2259, 2055, 267, 543, 4245, 616, 4625, 1863, 585, 4896, 945, 6499, 547, 946, 873, 269, 1284, 798, 711, 2154, 11731, 267, 723, 1100, 28417, 267, 543, 1100, 18537, 269, 5502, 267, 519, 3919, 568, 6462, 676, 519, 28908, 540, 2043, 543, 14828, 780, 32051, 281, 898, 20043, 0, 258, 20145, 692, 15253, 1393, 674, 262, 8987, 275, 264, 1141, 674, 3287, 264, 815, 1535, 317, 274, 1341, 2473, 317, 273, 630, 6748, 519, 4214, 540, 519, 12045, 2020, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 274, 269, 26461, 479, 476, 10436, 454, 272, 269, 674, 262, 8987, 275, 2020, 284, 1929, 22607, 15010 ]

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

[ 3698, 18062, 20311, 10031, 825, 5727, 16485, 519, 3593, 875, 1082, 18062, 547, 5066, 780, 825, 16849, 912, 1038, 1496, 842, 13912, 1496, 4958, 5281, 519, 1297, 540, 18062, 547, 5066, 2639, 825, 29185, 825, 1297, 815, 703, 9272, 19629, 333, 1692, 1082, 18062, 1131, 596, 899, 547, 5066, 2433, 27328, 825, 2132, 1297, 7531, 3698, 5066, 5091, 823, 4433, 1938, 267, 1297, 2187, 825, 5727, 8245, 3634, 12902, 519, 18062, 692, 825, 1488, 7714, 912, 1038, 5011, 630, 314, 842, 316, 2567, 1496, 23100, 338, 519, 5011, 540, 519, 18062, 2639, 1038, 1297, 630, 314, 842, 316, 2567, 1496, 23100, 338, 519, 1297, 540, 18062, 547, 5066, 6540, 825, 16849, 912, 1038, 1496, 4289, 13912, 1496, 4958, 5281, 519, 1592, 540, 4351, 2418, 689, 519, 18062, 2639, 825, 29185, 825, 18062, 815, 11713, 825, 1820, 6600, 257, 315, 333, 2791, 18202, 2715, 15893, 348, 2715, 338, 1938, 348, 521, 3660, 18062, 23528, 825, 1820, 19629, 333, 5541, 907, 24342, 616, 607, 4553, 5541, 907, 5602, 825, 585, 1775, 538, 2039, 28840, 2187, 1038, 1871, 815, 4351, 27110, 263, 272, 267, 5011, 994, 1038, 1820, 6600, 257, 315, 339, 29146, 346, 7407, 348, 5602, 1038, 18062, 6910, 263, 7407, 994, 825, 2132, 18062, 7531, 3698, 2040, 5091, 823, 5560, 823, 2187, 825, 5727, 11754, 782, 2418, 540, 18062, 538, 513, 1592, 692, 825, 1488, 7714, 912, 1038, 18062, 630, 314, 4289, 316, 2567, 1496, 23100, 338, 519, 1592, 540, 2418, 689, 18062, 2639, 825, 29185, 825, 2698, 815, 476, 271, 454, 825, 585, 5884, 538, 18062, 912, 1038, 2698, 6834, 5884, 454, 825, 1820, 6600, 10454, 2698, 1871, 540, 707, 5066, 568, 2715, 20135, 348, 1701, 9239, 3698, 5066, 318, 28785, 10031, 825, 5727, 16485, 519, 3593, 547, 5066, 1586, 692, 825, 16849, 912, 1038, 1496, 321, 944, 13912, 1496, 4958, 5281, 519, 3903, 540, 519, 3593, 2639, 825, 8173, 825, 3903, 815, 3403, 19629, 333, 25898, 596, 899, 547, 5066, 1586, 630, 344, 14672, 264, 2433, 19515, 825, 952, 3903, 11203, 834, 344, 13426, 1038, 5066, 815, 8771, 454, 825, 3116, 912, 1038, 5066, 815, 6936, 454, 825, 2132, 5066, 7531, 2745, 2891, 8702, 547, 634, 5124, 667, 823, 2561, 15419, 13764, 815, 6936, 692, 6112, 12902, 912, 825, 546, 5334, 1938, 815, 18062, 5334, 1938, 4590, 825, 546, 20311, 815, 18062, 20311, 10797, 825, 1250, 5091, 823, 815, 5066, 5091, 823, 5560, 5334, 1938, 267, 546, 20311, 994, 825, 2040, 5091, 823, 30044, 5091, 823, 2020, 825, 12902, 815, 5066, 318, 28785, 10797, 2745, 19629, 333, 14188, 596, 585, 1210, 519, 5124, 667, 823, 2561, 23528 ]

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

[ 534, 1695, 8643, 267, 4171, 5169, 1185, 1044, 4503, 543, 4171, 2495, 814, 1044, 16618, 269, 0, 13233, 2353, 1772, 744, 2720, 4303, 476, 1001, 276, 454, 2691, 649, 1589, 540, 519, 3003, 1158, 602, 27788, 721, 267, 649, 1058, 849, 5660, 1018, 649, 723, 2864, 602, 1018, 649, 798, 711, 543, 568, 3622, 856, 540, 938, 3914, 269, 901, 568, 1018, 2353, 568, 744, 2720, 4303, 568, 827, 269, 901, 568, 513, 1554, 799, 556, 329, 7860, 538, 519, 1249, 602, 519, 1158, 568, 2407, 540, 1919, 799, 4866, 547, 782, 540, 721, 538, 519, 1158, 269, 2817, 2353, 568, 744, 2720, 4303, 568, 9976, 593, 519, 476, 279, 628, 540, 4989, 1169, 1032, 563, 3519, 1061, 540, 2817, 2353, 568, 744, 2720, 4303, 454, 2467, 616, 1079, 3344, 547, 713, 1554, 269, 634, 1101, 2460, 568, 547, 5031, 782, 519, 8748, 1919, 538, 519, 1158, 269, 1284, 1058, 1831, 811, 3222, 540, 938, 10450, 543, 1018, 6818, 538, 873, 269, 634, 824, 2460, 735, 1564, 1004, 547, 2965, 2015, 602, 513, 2603, 540, 891, 1919, 4866, 547, 3025, 543, 865, 789, 666, 2965, 581, 3838, 609, 782, 269, 901, 568, 1141, 519, 968, 718, 892, 2501, 538, 563, 8002, 8481, 593, 2353, 568, 744, 2720, 4303, 454, 763, 1101, 3364, 547, 798, 593, 713, 1554, 568, 547, 6108, 942, 3168, 1472, 543, 711, 6005, 875, 1082, 8748, 1919, 2291, 799, 666, 581, 3838, 609, 782, 540, 721, 269, 1280, 1383, 267, 519, 32709, 540, 513, 8768, 666, 581, 3838, 609, 2576, 676, 8744, 547, 741, 5469, 1018, 513, 4190, 3364, 6818, 543, 621, 568, 2139, 547, 782, 563, 4537, 2130, 568, 519, 1292, 2534, 540, 713, 1554, 267, 865, 1491, 942, 856, 547, 2671, 1945, 2027, 609, 1776, 563, 13233, 782, 568, 744, 2720, 1554, 568, 849, 513, 1554, 540, 26126, 269, 1403, 649, 1413, 1472, 267, 649, 786, 8275, 875, 1454, 649, 2965, 723, 547, 581, 18507, 585, 543, 649, 1058, 2832, 547, 581, 1543, 539, 676, 1018, 649, 723, 267, 2864, 982, 2141, 1032, 940, 585, 1018, 649, 798, 711, 563, 18128, 757, 538, 4989, 454, 268, 6153, 11016, 476, 1001, 276, 454, 268, 3427, 20157, 4115, 4303, 476, 1001, 276, 454, 268, 2817, 15681, 589, 17389, 4303, 476, 1001, 276, 454, 268, 2817, 12532, 547, 4518, 4303, 476, 736, 2483, 268, 2817, 595, 20423, 28563, 340, 4303, 476, 1001, 2483, 268, 3367, 513, 10003, 10934, 4303, 476, 1001, 276, 454, 268, 14914, 476, 1001, 276, 454, 268, 2817, 590, 13446, 24898, 4303, 476, 273, 2483, 268, 2817, 2961, 14712, 7377, 25468, 4303, 2483, 268, 2817, 3143, 5600, 1740, 4303, 476, 736, 2483, 268, 8571, 513, 16514, 540, 513, 16819, 4303, 2483, 268, 2817, 22216, 880, 606, 4165, 1664, 4429, 268, 12736, 8725, 26235, 4303, 476, 1001, 276, 454, 268, 2817, 15850, 30587, 667, 2483, 268, 2817, 590, 15269, 4303, 476, 1001, 276, 454, 268, 2817, 4258, 3150, 674, 517, 16746, 4303, 476, 273, 2483, 268, 20640, 25397, 570, 1901, 4303, 476, 1001, 276, 454, 268, 6739, 15328, 3000, 2246, 4303, 476, 1001, 276, 454, 268, 8262, 6489, 4303, 476, 1001, 276, 454, 268, 2480, 4599, 1076, 4303, 476, 1001, 276, 454, 268, 2817, 3212, 778, 29154, 321, 2401, 4303, 476, 273, 2483, 268, 6733, 5455, 2311, 519, 21708, 4303, 476, 1001, 276, 454, 268, 2817, 623, 1815, 534, 4303, 476, 1001, 276, 454, 268, 16680, 15188, 4303, 476, 1001, 276, 454, 268, 24686, 1824, 4303, 476, 1001, 276, 454, 268, 15206, 4303, 476, 1001, 276, 454, 268, 14199, 4303, 476, 1001, 276, 454, 268, 2817, 20266, 5371, 4303, 476, 1001, 276, 454, 268, 853, 31869, 2471, 4303, 476, 1001, 276, 454, 268, 1488, 4011, 4303, 476, 1001, 276, 454, 268, 1323, 345, 659, 4303, 476, 1001, 276, 454, 268, 18018, 606, 8241, 4303, 476, 1001, 276, 454, 268, 2817, 6762, 614, 17361, 4303, 476, 273, 2483, 268, 2817, 15681, 589, 9452, 4303, 476, 736, 2483, 268, 5651, 572, 8943, 4303, 476, 1001, 276, 454, 268, 10699, 1834, 4303, 476, 1001, 276, 454, 268, 2098, 23124, 4303, 476, 1001, 276, 454, 268, 2817, 12968, 17965, 4303, 476, 1001, 276, 454, 268, 12794, 1009, 1803, 2561, 21090, 4303, 476, 273, 2483, 268, 476, 2767, 12552, 15130, 4303, 476, 1001, 275, 454, 268, 476, 2767, 12552, 15130, 4303, 538, 5245, 454, 268, 476, 2764, 14937, 11016, 476, 1001, 275, 454, 268, 476, 2764, 24246, 23875, 4303, 476, 1001, 275, 454, 268, 476, 1789, 1805, 12448, 338, 4303, 476, 1001, 275, 454, 268, 476, 1789, 22512, 3464, 7126, 4303, 476, 1001, 275, 0, 8314, 720, 585, 8581, 454, 1862, 520, 713, 1016, 867, 1588, 1185, 6738, 18481, 547, 5512, 519, 9976, 5856, 22189, 27997, 547, 627, 760, 909, 513, 7088, 540, 13889, 538, 513, 3126, 540, 30732, 7410, 936, 519, 26035, 540, 968, 24841, 779, 3368, 335, 775, 1848, 5261, 8381, 267, 606, 2296, 10672, 267, 1185, 1044, 17101, 547, 20511, 11113, 585, 8581, 282, 519, 856, 322, 787, 1996, 713, 16957, 14226, 676, 519, 17062, 5137, 540, 513, 26771, 2968, 865, 10795, 602, 621, 2483, 8882, 26475, 593, 11777, 720, 454, 1103, 476, 15094, 274, 972, 729, 909, 549, 541, 538, 8581, 936, 519, 26771, 11292, 547, 519, 2296, 16724, 5261, 8381, 547, 20511, 513, 3181, 1078, 9721, 11777, 720, 267, 3541, 529, 528, 1176, 17941, 968, 24841, 779, 3368, 335, 775, 1848, 7201, 2604, 689, 267, 1851, 1866, 267, 22189, 27997, 267, 519, 30237, 626, 267, 4171, 968, 291, 1905, 1512, 779, 16707, 892, 9663, 13124, 16091, 1864, 267, 8381, 2847, 12097, 1010, 14664, 538, 476, 15094, 276, 454, 1862, 514, 476, 12739, 279, 9783, 17646, 2484, 628, 902, 12946, 519, 3239, 540, 6276, 4083, 593, 7504, 3724, 543, 519, 8049, 21000, 1588, 540, 476, 272, 270, 2190, 540, 513, 5053, 1483, 269, 634, 28266, 1977, 320, 4773, 267, 13351, 676, 5261, 8381, 540, 26728, 591, 5069, 17980, 896, 10424, 14664, 18584, 5147, 476, 1321, 267, 476, 15094, 273, 267, 4607, 513, 14922, 5944, 1507, 10009, 538, 1715, 3840, 543, 1715, 4789, 269, 6271, 11777, 720, 676, 8381, 538, 476, 15094, 273, 1700, 2190, 267, 5497, 585, 1862 ]

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

[ 789, 1185, 1500, 780, 2005, 568, 711, 5018, 2436, 972, 941, 1906, 3681, 2139, 547, 873, 780, 3383, 267, 875, 589, 568, 519, 2626, 2496, 12585, 1058, 581, 667, 267, 2094, 4986, 827, 519, 7287, 538, 519, 2250, 568, 5018, 780, 309, 573, 5984, 1767, 281, 5231, 476, 1015, 1296, 3516, 454, 296, 2698, 344, 979, 609, 4781, 1412, 291, 262, 780, 5445, 723, 711, 2446, 4376, 899, 4781, 538, 519, 3948, 269, 1703, 949, 581, 824, 4128, 849, 780, 4504, 5878, 1767, 281, 5231, 476, 280, 1296, 3516, 454, 291, 568, 1250, 3903, 267, 3932, 476, 272, 568, 1932, 1808, 543, 856, 540, 7406, 2439, 289, 8667, 1767, 281, 5231, 476, 280, 1296, 3516, 454, 291, 568, 519, 1152, 9266, 3932, 269, 5808, 1197, 1500, 713, 568, 513, 2608, 2041, 788, 29688, 1703, 781, 4986, 3330, 519, 3948, 602, 538, 19037, 1223, 2303, 1004, 1185, 1447, 5079, 780, 298, 761, 328, 1767, 281, 5231, 476, 280, 1296, 3516, 454, 6097, 547, 803, 667, 568, 519, 2626, 1317, 4986, 3932, 568, 5018, 538, 3948, 780, 306, 541, 7534, 1767, 281, 5231, 476, 279, 1296, 3516, 454, 1692, 666, 596, 2161, 602, 4505, 812, 3085, 1405, 3310, 972, 22038, 676, 5079, 780, 3383, 594, 786, 979, 609, 4781, 667, 780, 295, 784, 1767, 281, 5231, 476, 279, 1296, 3516, 454, 1692, 568, 621, 2009, 602, 10390, 476, 272, 568, 519, 2626, 286, 4634, 1498, 519, 25195, 1522, 581, 3020, 593, 621, 1378, 267, 621, 3085, 1405, 3514, 1018, 649, 616, 3843, 547, 798, 1934, 269, 667, 568, 519, 2626, 269, 589, 568, 4625, 1500, 909, 267, 543, 654, 305, 32670, 2439, 305, 698, 16852, 10067, 1690, 534, 1767, 281, 5231, 476, 279, 1296, 3516, 0, 263, 271, 267, 272, 9984, 322, 14394, 692, 263, 271, 267, 272, 9984, 9008, 657, 692, 258, 12430, 9753, 692, 1012, 22830, 692, 288, 5276, 1931, 630, 10193, 1572, 29660, 19195, 267, 2687, 547, 9504, 264, 568, 519, 9048, 325, 2716, 633, 4528, 540, 513, 2698, 1931, 269, 589, 31085, 10288, 1305, 267, 610, 17485, 564, 267, 568, 513, 1305, 9280, 609, 513, 5276, 1931, 780, 1103, 8106, 6128, 267, 519, 11984, 1063, 5276, 9753, 543, 2698, 9753, 568, 8806, 513, 2165, 514, 1670, 2930, 640, 267, 799, 568, 711, 2141, 4767, 282, 811, 10502, 267, 972, 568, 513, 2067, 1979, 20287, 1063, 519, 1305, 540, 2698, 9753, 593, 513, 2016, 1305, 1269, 306, 259, 543, 519, 1305, 540, 5276, 9753, 593, 1269, 306, 8961, 543, 835, 30193, 873, 676, 519, 10035, 4399, 2741, 259, 630, 1721, 519, 5276, 1931, 264, 543, 4399, 19008, 259, 630, 1721, 519, 2698, 1931, 1040, 769, 16268, 6128, 267, 2705, 267, 789, 616, 9048, 3027, 4601, 1114, 780, 1012, 26479, 692, 288, 5276, 1931, 593, 513, 1305, 1269, 306, 259, 568, 513, 630, 321, 2435, 264, 6935, 4399, 2741, 259, 609, 519, 1739, 3601, 1384, 1892, 9048, 325, 2716, 2032, 281, 1269, 343, 1422, 333, 1652, 1535, 259, 3248, 1892, 12623, 11496, 281, 1269, 343, 1422, 2741, 586, 259, 543, 1269, 344, 1422, 2741, 1535, 259, 3112, 1312, 581, 3020, 3248, 1892, 1098, 6638, 281, 952, 1269, 343, 1422, 2741, 586, 1422, 2741, 1990, 8961, 1287, 1269, 343, 1422, 2741, 1990, 259, 3248, 1892, 6476, 281, 952, 1269, 343, 1422, 2741, 1990, 8961, 1287, 1269, 343, 1422, 2741, 586, 259, 610, 1269, 344, 1422, 2741, 1990, 259, 3248, 1892, 4448, 1145, 281, 952, 1269, 343, 1422, 333, 1652, 586, 259, 543, 1269, 344, 1422, 333, 1652, 1535, 8961, 1287, 1269, 343, 815, 586, 16859, 1103, 8106, 6128, 267, 835, 949, 1294, 891, 8747, 540, 12623, 11496, 543, 4448, 1145, 1384, 1892, 1269, 343, 1422, 333, 1652, 586, 259, 610, 1269, 344, 1422, 333, 1652, 1535, 259, 3248, 1892, 1269, 343, 1422, 2741, 586, 259, 610, 1269, 344, 1422, 2741, 1535, 259, 610, 1269, 343, 815, 586, 16859, 8794, 16934, 1647, 267, 891, 616, 6697, 547, 12623, 11496, 543, 4448, 1145, 607, 2016, 1657, 267, 855, 789, 991, 711, 3180, 585, 782, 5276, 9753, 538, 16268, 6128, 780, 8002, 1302, 267, 891, 24936, 1682, 616, 936, 26973, 282, 547, 2253, 609, 267, 9048, 325, 2716, 2032, 568, 3274, 513, 2027, 2013, 540, 12623, 11496, 543, 865, 666, 581, 12628, 269, 3958, 267, 835, 666, 2901, 6749, 1098, 6638, 610, 6749, 12623, 11496, 630, 6518, 1287, 3340, 5329, 9048, 325, 2716, 2032, 5148, 789, 786, 1869, 1246, 689, 519, 824, 24936, 1682, 269, 667, 549, 6137, 1098, 6638, 2982, 8915, 569, 519, 546, 7081, 630, 5408, 2630, 264, 1063, 5276, 9753, 543, 2698, 9753, 630, 16838, 538, 16268, 6128, 1070, 1247, 5329, 1098, 6638, 543, 21177, 12623, 11496, 2982, 8915, 569, 602, 513, 5276, 1931, 568, 513, 2027, 2186, 540, 29610, 4650, 780, 1103, 8106, 6128, 267, 972, 616, 1256, 811, 3681, 269, 3767, 6476, 666, 581, 12628, 267, 607, 621, 5205, 689, 1098, 6638, 543, 4448, 1145, 269, 4746, 267, 835, 1419, 10905, 9048, 325, 2716, 2032, 267, 12623, 11496, 267, 543, 4448, 1145, 883, 513, 2582, 24936, 558, 1210, 12600, 771, 329, 4233, 1384, 1892, 959, 747, 30315, 281, 1269, 343, 1422, 2741, 586, 259, 1535, 528, 1269, 344, 1422, 2741, 1535, 259, 1535, 528, 1269, 343, 815, 586, 16859, 13295, 519, 1034, 1455, 4214, 3096, 1152, 959, 747, 30315, 543, 1098, 6638, 780, 3080, 666, 849, 4612, 4448, 1145, 711, 607, 606, 24936, 558, 855, 607, 513, 4214, 540, 7862, 267, 3478, 513, 5276, 1931, 593, 513, 23479, 1305, 540, 1269, 306, 10608, 769, 824, 1913, 267, 952, 4399, 2741, 259, 568, 606, 12623, 13240, 6476, 6935, 593, 1269, 306, 8961, 543, 649, 5581, 1269, 343, 1422, 25406, 586, 259, 547, 1611, 602, 9444, 1269, 343, 1422, 2741, 586, 259, 6862, 1269, 344, 1422, 2741, 1535, 8961, 1287, 4399, 25406, 259, 568, 606, 30424, 6935, 543, 4399, 2741, 259, 28901, 513, 5276, 1931, 593, 1269, 306, 270, 3189, 25406, 31859, 1012, 6201, 692, 12218, 1227, 267, 1022, 2698, 1931, 11225, 606, 1383, 540, 513, 5276, 1931, 630, 553, 6045, 2630, 1070, 543, 713, 849, 6585, 4020, 1947, 538, 15768, 6128, 269, 4595, 1034, 5276, 9753, 538, 891, 2665, 616, 2356, 4330, 538, 2474, 540, 741, 2698, 9753, 267, 519, 1445, 1934, 568, 593, 16268, 2079, 269, 630, 763, 1101, 6221, 267, 2705, 267, 568, 606, 9868, 24355, 1892, 589, 682, 13877, 4919, 1931, 267, 1256, 538, 513, 8106, 610, 15768, 2796, 267, 568, 811, 3362, 4330, 607, 513, 5276, 1931, 982, 607, 513, 2698, 1931, 563, 1892, 634, 2462, 1383, 538, 2079, 568, 519, 2361, 540, 1483, 2338, 269, 5637, 519, 667, 539, 2131, 785, 556, 1023, 543, 519, 595, 879, 16408, 556, 1023, 630, 16838, 952, 4617, 1293, 762, 3903, 14543, 865, 891, 616, 711, 6697, 264, 723, 513, 5276, 1931, 4399, 2741, 259, 602, 11498, 519, 630, 20657, 22421, 264, 5276, 1931, 593, 519, 7787, 2338, 269, 4595, 519, 7222, 9864, 1931, 4399, 19008, 259, 3112, 581, 9863, 2698, 630, 663, 538, 930, 1362, 1227, 23380, 8747, 540, 16268, 6128, 666, 1256, 581, 9863, 711, 2698, 1070, 4399, 2741, 259, 568, 811, 2047, 3730, 982, 4399, 19008, 259, 568, 16268, 2079, 269, 769, 1022, 2013, 267, 4399, 2741, 259, 568, 811, 4909, 267, 2094, 4399, 19008, 259, 666, 581, 3989, 538, 2474, 540, 4399, 2741, 259, 855, 711, 519, 824, 1259, 1472, 269, 630, 763, 5839, 3026, 4068, 1483, 2338, 723, 1312, 4399, 2741, 259, 543, 4399, 19008, 259, 282, 2705, 267, 538, 713, 2013, 267, 9444, 568, 8209, 513, 5276, 610, 2698, 1931, 267, 6862, 666, 789, 8209, 581, 3989, 538, 2474, 540, 835, 1776, 8094, 1892, 13391, 790, 2230, 543, 22616, 528, 2230, 267, 1373, 2099, 762, 607, 1016, 4944, 2167, 540, 519, 1483, 1899, 267, 540, 1576, 616, 31085, 10288, 269, 898, 781, 849, 4277, 547, 1294, 873, 607, 4947, 689, 519, 630, 20657, 22421, 264, 5276, 9753, 593, 4399, 10400, 346, 301, 4151, 543, 4399, 10400, 346, 273, 20954, 799, 789, 616, 4399, 10400, 346, 301, 4151, 268, 19507, 2472, 540, 780, 1012, 16544, 692, 2162, 4039, 566, 547, 2698, 9753, 692, 8794, 16934, 1647, 267, 835, 666, 1847, 1063, 5276, 9753, 543, 2698, 9753, 1210, 2258, 566, 282, 602, 568, 267, 519, 2258, 566, 540, 513, 5276, 1931, 568, 513, 2698, 1931, 543, 13030, 17930, 269, 24511, 835, 2356, 2220, 2355, 519, 1931, 1932, 267, 607, 5205, 1384, 1892, 1269, 343, 1422, 2741, 586, 259, 476, 858, 1269, 344, 1422, 333, 19008, 1535, 259, 3248, 1892, 1269, 343, 1422, 19008, 586, 259, 476, 858, 1269, 344, 1422, 333, 1652, 1535, 16859, 2414, 6961, 713, 267, 621, 781, 2614, 547, 1294, 602, 519, 3601, 540, 513, 5276, 1931, 616, 12242, 547, 519, 3601, 540, 513, 2698, 1931, 267, 607, 5205, 1384, 15035, 3921, 1068, 4973, 1931, 454, 597, 10915, 2716, 2032, 10915, 2716, 2032, 454, 553, 2096, 11496, 339, 582, 1275, 454, 10520, 6638, 1260, 1706, 2581, 454, 1260, 1706, 2581, 10520, 6638, 454, 8588, 1145, 656, 529, 2096, 11496, 692, 17746, 1192, 1947, 267, 891, 616, 1869, 519, 9949, 8847, 547, 946, 282, 602, 568, 267, 952, 835, 568, 2016, 513, 5276, 1931, 610, 513, 2698, 1931, 543, 6499, 547, 4612, 519, 824, 3090, 267, 1287, 835, 1281, 865, 1210, 891, 8847, 269, 1717, 267, 519, 1267, 786, 711, 8209, 581, 513, 2698, 1931, 610, 513, 5276, 1931, 269, 1677, 581, 1808, 267, 952, 835, 6238, 609, 513, 5276, 1931, 4399, 2741, 259, 543, 11225, 4399, 19008, 259, 607, 1657, 267, 1287, 9103, 1275, 1281, 711, 1246, 282, 543, 952, 835, 6238, 609, 513, 2698, 1931, 4399, 19008, 259, 543, 11225, 4399, 2741, 259, 607, 1657, 267, 1287, 6476, 1281, 711, 1246, 269, 11048, 267, 693, 2547, 4399, 19008, 259, 786, 581, 513, 9864, 1931, 267, 543, 2547, 4399, 2741, 259, 786, 581, 513, 29610, 4650, 269, 5015, 267, 519, 546, 7081, 1063, 519, 24936, 1682, 568, 1869, 972, 267, 1256, 1498, 2258, 566, 1100, 3476, 18657, 919, 1063, 873, 282, 4352, 6476, 991, 711, 3180, 585, 513, 2698, 1931, 4020, 1947, 267, 519, 546, 7081, 568, 12873, 952, 835, 11225, 5276, 9753, 1510, 1210, 1098, 6638, 780, 3080, 1419, 12034, 1269, 343, 1422, 2741, 586, 259, 3989, 607, 1269, 343, 1422, 548, 586, 259, 855, 1269, 343, 1422, 928, 586, 259, 282, 713, 568, 6697, 267, 855, 3085, 1405, 1397, 519, 632, 21546, 546, 7081, 12799, 269, 6684, 267, 835, 1419, 12034, 1269, 343, 1422, 19008, 586, 259, 3989, 607, 1269, 343, 1422, 2741, 586, 259, 610, 1269, 343, 815, 586, 259, 282, 713, 568, 711, 1256, 6697, 4020, 1947, 267, 4352, 621, 568, 1362, 1227, 780, 16605, 538, 2247, 267, 2705, 267, 602, 519, 1152, 946, 540, 16934, 1647, 538, 519, 8106, 3069, 568, 519, 13429, 602, 1269, 343, 815, 586, 8961, 1269, 343, 1422, 2741, 586, 8961, 543, 1269, 343, 1422, 19008, 586, 259, 616, 2141, 2901, 3020, 610, 7301, 269, 1703, 568, 4061, 513, 3501, 19359, 1063, 1232, 22421, 5276, 9753, 543, 1232, 22421, 2698, 9753, 593, 5036, 609, 1232, 22421, 7862, 780, 2162, 4147, 4328, 1283, 657, 692, 2467, 568, 513, 1362, 4328, 1283, 657, 585, 20948, 5276, 9753, 269, 898, 568, 2016, 676, 519, 7121, 540, 5430, 574, 2364, 658, 5036, 267, 8754, 676, 519, 1095, 515, 2378, 1283, 657, 936, 519, 6587, 7121, 540, 519, 1138, 2364, 658, 7121, 780, 2690, 811, 1294, 693, 1362, 4328, 1283, 657, 519, 3296, 1280, 630, 514, 4725, 1243, 264, 5276, 9753, 780, 3725, 14876, 593, 5147, 476, 2537, 267, 476, 1001, 275, 476, 4962, 281, 6321, 281, 1240, 676, 32088, 21582, 731, 630, 7761, 269, 9264, 269, 6246, 269, 6344, 264, 0, 258, 1323, 32389, 609, 27449, 543, 6715, 619, 692, 2162, 8827, 476, 272, 692, 3528, 519, 7537, 8566, 300, 8635, 10484, 315, 6234, 1422, 8218, 9387, 348, 737, 317, 273, 315, 6523, 317, 273, 1422, 15883, 1341, 331, 317, 273, 315, 6523, 317, 273, 1422, 10401, 1299, 315, 613, 476, 273, 25490, 346, 330, 317, 273, 331, 317, 273, 315, 6523, 317, 273, 315, 10401, 1422, 6523, 317, 273, 1422, 15883, 27874, 17851, 273, 347, 9383, 24689, 6523, 1422, 10401, 315, 6523, 1422, 15883, 1422, 28254, 476, 273, 9383, 1422, 6523, 1422, 10401, 1422, 6523, 1422, 15883, 269, 1422, 754, 9387, 10926, 13295, 267, 649, 723, 513, 5311, 540, 6697, 16526, 1384, 315, 6234, 1422, 8218, 9387, 348, 1299, 330, 317, 273, 315, 6523, 317, 273, 1422, 15883, 266, 331, 317, 273, 315, 6523 ]

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

[ 5463, 28672, 2659, 14134, 12389, 18740, 454, 268, 5153, 476, 272, 281, 5700, 2659, 12763, 906, 563, 268, 5153, 476, 273, 281, 16514, 519, 20233, 719, 563, 268, 5153, 476, 274, 281, 7994, 2659, 13910, 563, 268, 5153, 476, 275, 281, 4855, 519, 1924, 17304, 3689, 563, 268, 5153, 476, 274, 281, 17292, 519, 9351, 681, 1872, 563, 268, 5153, 476, 275, 281, 5192, 519, 9406, 31786, 563, 268, 5153, 476, 276, 281, 32341, 593, 2659, 7822, 6022, 8291, 563, 268, 5153, 476, 277, 281, 5410, 9931, 3203, 1299, 7457, 1559, 563, 1692, 666, 594, 1118, 1250, 2713, 4055, 1413, 811, 7199, 888, 1692, 547, 5269, 2659, 12389, 18740, 6733, 2859, 5890, 2400, 454, 268, 670, 836, 2659, 4354, 13935, 5455, 4400, 269, 5071, 676, 5463, 528, 626, 563, 268, 623, 732, 13560, 2659, 25334, 32268, 269, 5071, 676, 5463, 528, 626, 563, 268, 5455, 14079, 2659, 700, 10102, 327, 3547, 269, 20907, 15945, 899, 5851, 14187, 338, 543, 10097, 21625, 899, 16170, 24872, 543, 15332, 543, 25553, 273, 616, 1390, 585, 4466, 23129, 7888, 8654, 563, 268, 17186, 5455, 2659, 7956, 999, 563, 268, 8058, 13826, 14066, 4149, 7051, 3203, 563, 268, 18224, 18610, 26540, 563, 1432, 568, 519, 3017, 1063, 7145, 543, 4398, 609, 1806, 888, 1103, 824, 1913, 267, 6356, 4369, 568, 827, 3257, 519, 1318, 4305, 267, 11264, 2238, 543, 8236, 3853, 269, 21252, 568, 827, 3257, 1919, 538, 606, 6099, 1259, 267, 585, 1383, 3257, 621, 519, 16595, 610, 538, 519, 2547, 7199, 1259, 269, 898, 1223, 581, 519, 4636, 3364, 267, 855, 621, 729, 2944, 5688, 958, 563, 1692, 798, 649, 2268, 4398, 888, 292, 11797, 568, 6027, 676, 12270, 513, 11832, 779, 4890, 3977, 2557, 676, 519, 3044, 3977, 2557, 543, 14921, 519, 6364, 676, 476, 1911, 2600, 563, 1432, 568, 519, 2078, 1063, 7145, 543, 4398, 888, 763, 2078, 1063, 7145, 543, 4398, 568, 602, 7145, 568, 513, 2268, 540, 2048, 16591, 1145, 685, 540, 3977, 267, 1247, 4398, 568, 513, 2268, 540, 519, 2200, 2838, 547, 3035, 519, 3977, 269, 4935, 7145, 540, 519, 1062, 4016, 547, 519, 2298, 540, 17016, 689, 519, 1062, 563, 1432, 568, 2816, 4398, 888, 22998, 7561, 2164, 538, 513, 2362, 3812, 4320, 689, 519, 1482, 2179, 540, 4199, 3403, 269, 769, 519, 9036, 4259, 4398, 2356, 6257, 519, 4247, 543, 4074, 12913, 538, 513, 2582, 960, 1485, 676, 606, 1367, 9441, 563, 1432, 798, 596, 1611, 676, 4492, 4398, 888, 293, 3241, 4398, 568, 513, 1106, 540, 8143, 4398, 267, 2495, 519, 5223, 540, 4674, 547, 1267, 540, 513, 1184, 602, 17838, 3114, 1761, 1648, 8659, 538, 513, 15298, 630, 325, 3241, 264, 883, 15452, 1648, 610, 960, 563, 1432, 568, 7145, 4398, 888, 1700, 27400, 610, 8647, 538, 519, 1655, 2009, 6073, 609, 519, 2547, 3653, 540, 942, 543, 4674, 269, 634, 3017, 1063, 7145, 543, 4398, 666, 581, 2040, 4364, 909, 16172, 267, 6653, 569, 543, 13151, 3307, 569, 1107, 9861, 2500, 568, 827, 3257, 519, 1318, 1919, 267, 1247, 1373, 3608, 568, 827, 3257, 1919, 1318, 563, 1692, 798, 596, 4766, 7145, 888, 22546, 4369, 568, 519, 12588, 540, 6721, 513, 5551, 1267, 610, 519, 2702, 547, 3132, 5551, 3977, 269, 1879, 1945, 568, 16363, 2500, 267, 621, 1797, 621, 814, 606, 5497, 610, 4397, 6364, 267, 610, 7472, 513, 2620, 267, 12667, 12705, 563, 7617, 2501, 1101, 7145, 610, 4398, 888, 22546, 4369, 959, 7927, 4398, 269, 17291, 1018, 2115, 547, 581, 2944, 2501, 1101, 630, 324, 977, 4369, 264, 543, 1287, 649, 991, 547, 1265, 513, 1259, 547, 798, 621, 7561, 269, 898, 779, 1732, 547, 798, 519, 1318, 3364, 1447, 7561, 630, 324, 8997, 855, 28537, 264, 982, 547, 798, 519, 4636, 3364, 7561, 630, 710, 8997, 855, 3608, 1916, 1692, 666, 594, 1118, 1250, 4398, 19887, 1413, 1434, 888, 13425, 856, 938, 1592, 540, 7718, 908, 4388, 267, 14764, 2093, 267, 543, 10721, 554, 2931, 547, 9784, 707, 18638, 19887, 1374, 2336, 268, 5463, 28672, 609, 8752, 27413, 563, 268, 2422, 19257, 5558, 547, 7046, 5455, 519, 18740, 563, 268, 12559, 12643, 14675, 609, 513, 7822, 995, 24135, 12960, 563, 268, 5071, 606, 6452, 550, 9931, 563, 268, 22982, 11638, 6261, 17123, 30166, 8132, 563, 268, 14780, 1047, 2659, 16170, 7498, 268, 7767, 538, 513, 32298, 16170, 563, 1432, 568, 7145, 540, 1710, 888, 1432, 568, 7145, 540, 1710, 286, 513, 269, 519, 5223, 540, 4890, 3002, 11843, 689, 1710, 1858, 547, 519, 3002, 799, 1131, 581, 11843, 952, 3003, 1710, 1858, 729, 693, 3490, 2837, 269, 536, 269, 519, 3002, 799, 1131, 581, 11843, 952, 3003, 1710, 1858, 729, 693, 3490, 2837, 547, 519, 5223, 540, 4890, 3002, 11843, 689, 1710, 1858, 563, 1692, 798, 594, 1118, 1250, 18638, 19887, 18241, 888, 1704, 2081, 547, 2490, 513, 16081, 6244, 18638, 883, 513, 838, 20160, 543, 18241, 7498, 268, 6215, 4575, 3774, 851, 1431, 269, 9540, 5624, 2154, 15931, 3435, 267, 543, 713, 568, 835, 540, 873, 563, 268, 24761, 1374, 269, 898, 779, 711, 2556, 547, 1118, 707, 18638, 19887, 562, 1180, 525, 5296, 676, 7446, 1152, 1769, 4778, 563, 268, 6250, 1302, 9750, 519, 2230, 563, 268, 16952, 2230, 563, 268, 25037, 532, 4778, 563, 268, 7743, 10659, 563, 268, 26726, 5383, 563, 1432, 568, 4398, 1383, 888, 292, 11797, 568, 3989, 607, 519, 2702, 547, 3132, 1945, 609, 513, 5934, 2179, 540, 4674, 269, 1323, 1383, 540, 4398, 568, 513, 5786, 538, 519, 1297, 540, 4600, 2877, 547, 1118, 513, 1286, 269, 634, 5223, 540, 519, 2500, 610, 3730, 3977, 547, 519, 2698, 3403, 538, 1022, 1062, 269, 634, 4398, 540, 713, 561, 10796, 701, 6033, 568, 476, 2412, 18336, 1692, 666, 649, 2268, 519, 4398, 543, 7145, 540, 9946, 2773, 888, 19931, 2359, 1797, 282, 8757, 3853, 538, 606, 3608, 6073, 1210, 1447, 2179, 540, 2200, 269, 5004, 2773, 543, 7145, 568, 6027, 676, 282, 2549, 870, 540, 30825, 610, 5080, 15200, 269, 634, 2557, 540, 8605, 2032, 563, 1432, 568, 519, 1034, 1455, 2681, 585, 513, 2713, 4055, 888, 294, 2001, 568, 513, 2442, 9243, 585, 1022, 4055, 538, 519, 2777, 267, 855, 621, 5654, 3226, 10427, 538, 519, 2713, 4055, 269, 898, 568, 1851, 519, 1034, 2442, 2713, 4055, 4778, 269, 9791, 568, 3013, 779, 5172, 2681, 267, 865, 621, 779, 513, 1100, 1532, 1778, 518, 585, 519, 4055, 602, 6770, 3025, 1927, 563, 1432, 616, 519, 2188, 540, 4398, 888, 19853, 4485, 547, 1860, 519, 1648, 4398, 616, 1114, 563, 268, 476, 274, 269, 272, 269, 16959, 2339, 6981, 543, 2504, 269, 16959, 2339, 6981, 630, 291, 11085, 264, 543, 2504, 616, 519, 1463, 3334, 540, 1034, 1648, 4398, 7592, 563, 268, 476, 274, 269, 273, 269, 10610, 2597, 563, 268, 476, 274, 269, 274, 269, 10610, 5160, 2242, 563, 268, 476, 274, 269, 275, 269, 6520, 693, 1101, 1608, 1324, 630, 288, 15598, 994, 268, 476, 274, 269, 276, 269, 7025, 2188, 563, 1432, 568, 4398, 543, 7145, 538, 606, 3919, 888, 7212, 519, 1079, 1913, 3277, 547, 3356, 4724, 513, 3804, 267, 972, 568, 513, 2312, 11984, 269, 2755, 7145, 4016, 547, 3257, 519, 1318, 1919, 519, 1259, 596, 616, 9277, 547, 267, 4398, 4016, 547, 3257, 519, 1318, 1919, 519, 1655, 1259, 269, 3502, 782, 3906, 602, 616, 2500, 616, 3608, 267, 543, 13030, 268, 951, 320, 563, 1432, 568, 606, 4398, 888, 2304, 4398, 19887, 568, 513, 1507, 19887, 1770, 602, 267, 3020, 547, 922, 2012, 267, 10905, 519, 10342, 540, 2789, 11623, 883, 835, 269, 1323, 4398, 19887, 3335, 10905, 519, 23103, 267, 2713, 4055, 543, 10051, 782, 883, 835, 2582, 4055, 269, 21252, 6306, 906, 616, 1419, 2808, 519, 1482, 607, 18638, 610, 20277, 6306, 906, 563, 1432, 568, 519, 3017, 1063, 7145, 4398, 543, 7607, 888, 22546, 4369, 568, 3257, 519, 1318, 1919, 267, 1247, 4398, 568, 3257, 1919, 1318, 269, 4256, 10167, 11729, 1164, 7607, 269, 21252, 568, 519, 1655, 2009, 3977, 829, 1770, 540, 942, 281, 1775, 4318, 1421, 3257, 1919, 1318, 269, 1879, 596, 798, 519, 1318, 1919, 1318, 267, 596, 5734, 707, 5021, 1377, 540, 4398, 543, 7607, 563, 1432, 568, 2087, 4398, 888, 292, 11797, 568, 519, 2298, 540, 1373, 2111, 547, 798, 513, 4305, 6707, 267, 1510, 27830, 942, 610, 1648, 269, 0, 3674, 513, 7735, 20399, 610, 20158, 888, 3674, 513, 7735, 20399, 610, 20158, 888, 2414, 968, 12304, 892, 513, 7735, 1419, 17697, 569, 1797, 547, 7903, 621, 1524, 543, 1287, 5305, 621, 269, 1403, 594, 4051, 596, 547, 968, 12304, 892, 519, 589, 1883, 593, 707, 13691, 267, 596, 3580, 4440, 7903, 621, 1524, 543, 1287, 1577, 979, 269, 1677, 968, 24119, 816, 892, 513, 7735, 796, 3711, 580, 28204, 4016, 1152, 547, 519, 957, 540, 11319, 621, 1524, 563, 1432, 1281, 621, 1611, 547, 1244, 816, 1945, 888, 272, 2433, 547, 2046, 1524, 3493, 816, 519, 968, 10938, 892, 1883, 269, 476, 273, 2433, 547, 1118, 8909, 610, 27209, 5213, 1406, 1577, 519, 3377, 1244, 816, 596, 269, 476, 274, 2433, 547, 24390, 519, 2534, 610, 4222, 540, 14068, 4365, 1185, 20158, 6455, 563, 1692, 798, 596, 1244, 816, 10856, 16181, 888, 32207, 958, 513, 8437, 609, 519, 1318, 10856, 7735, 568, 519, 1482, 607, 513, 6513, 26487, 269, 28463, 269, 1677, 8749, 267, 1244, 816, 519, 2451, 10856, 7735, 543, 1847, 519, 10856, 1510, 16089, 519, 10856, 7735, 269, 19537, 21794, 666, 581, 1031, 547, 1847, 3615, 267, 543, 547, 5031, 1257, 563, 1432, 568, 4628, 1244, 816, 888, 12831, 816, 568, 3989, 607, 547, 2046, 1524, 267, 1118, 29043, 610, 1447, 3407, 269, 6693, 1432, 568, 519, 6587, 540, 513, 7735, 888, 16123, 366, 11534, 5242, 540, 547, 3728, 523, 609, 513, 7735, 269, 3768, 334, 269, 4652, 770, 523, 563, 3674, 1244, 816, 519, 6587, 540, 2046, 888, 18208, 543, 1244, 816, 616, 519, 1482, 269, 4635, 632, 1790, 816, 607, 519, 6587, 540, 1244, 816, 568, 2469, 547, 581, 3833, 14845, 563, 1432, 1281, 1244, 816, 513, 7735, 1611, 888, 2691, 13288, 547, 513, 7735, 267, 1244, 816, 4016, 547, 519, 957, 540, 10296, 1524, 2390, 519, 7735, 563, 1432, 1281, 711, 1244, 816, 1611, 888, 281, 711, 20158, 2523, 2433, 711, 4299, 676, 610, 7680, 5626, 4965, 562, 1180, 788, 5962, 2550, 563, 7617, 568, 519, 476, 274, 10856, 7735, 888, 11586, 272, 630, 332, 1787, 7735, 476, 272, 264, 568, 519, 2451, 7735, 269, 15406, 273, 630, 332, 1787, 7735, 476, 273, 264, 568, 519, 1647, 7735, 269, 15406, 274, 630, 332, 1787, 7735, 476, 274, 264, 568, 519, 1318, 7735, 2507, 563, 23277, 1787, 29502, 1475, 7659, 3525, 8595, 1475, 303, 17123, 2008, 347, 11586, 274, 1475, 333, 821, 1475, 305, 582, 622, 476, 274, 5937, 10525, 2008, 18871, 27530, 1475, 303, 8911, 538, 2070, 9486, 2008, 1432, 616, 519, 2947, 10856, 2553, 888, 268, 8672, 532, 2433, 31161, 519, 10856, 547, 1847, 519, 593, 1606, 10547, 24072, 563, 268, 8437, 532, 2433, 18208, 543, 5305, 519, 2451, 10856, 7735, 2899, 563, 268, 17677, 4211, 5585, 532, 2433, 18208, 543, 5305, 519, 2451, 10856, 7735, 7466, 563, 268, 19537, 21794, 2433, 295, 1245, 1524, 519, 2451, 10856, 7735, 607, 596, 1847, 519, 24072, 563, 268, 9406, 4211, 5585, 532, 2433, 18208, 543, 5305, 519, 1318, 10856, 7735, 563, 1432, 1281, 1244, 816, 519, 804, 8553, 1611, 888, 2691, 519, 804, 8553, 29465, 568, 20158, 267, 519, 10814, 27605, 519, 804, 8553, 23643, 267, 4929, 519, 5305, 12946, 547, 1847, 4464, 1996, 519, 2604, 6676, 269, 3807, 899, 1244, 7675, 519, 20347, 29465, 593, 707, 1286, 267, 1244, 7675, 519, 804, 8553, 29465, 24864, 513, 32168, 518, 883, 519, 16004, 540, 519, 4487, 12718, 563, 4692, 1411, 15681, 2725, 1141, 547, 946, 2046, 543, 1244, 816, 888, 24119, 816, 1797, 7903, 543, 2014, 547, 1847, 1524, 269, 594, 666, 1244, 816, 519, 1376, 7735, 593, 1250, 2780, 269, 2107, 267, 594, 666, 2046, 621, 269, 594, 666, 2046, 513, 3774, 267, 855, 594, 666, 1406, 1244, 816, 621, 269, 634, 2165, 2048, 24119, 816, 685, 568, 513, 2603, 1447, 1455, 563, 3963, 568, 519, 2046, 540, 513, 10856, 7735, 1572, 20158, 888, 1103, 1896, 2835, 602, 2446, 717, 21397, 267, 13691, 267, 610, 10856, 16181, 630, 324, 3052, 269, 519, 1433, 14691, 8837, 676, 8176, 8891, 345, 1245, 1070, 519, 4589, 3277, 547, 519, 1533, 540, 513, 20399, 7735, 607, 20158, 563, 3963, 568, 519, 6521 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1360, 4686, 1317, 972, 5749, 12728, 14214, 24149, 10634, 339, 1932, 1082, 540, 713, 1560, 14604, 610, 6517, 899, 891, 538, 519, 1158, 602, 2291, 15042, 269, 2334, 12728, 14214, 24149, 10634, 338, 1946, 713, 1286, 568, 1360, 2786, 4464, 543, 1360, 8799, 1286, 269, 898, 1185, 1044, 1572, 519, 25865, 571, 1317, 621, 16716, 3728, 543, 621, 4682, 607, 3728, 607, 519, 25865, 571, 269, 4518, 11855, 8525, 5291, 2517, 4178, 269, 4887, 8364, 743, 889, 269, 635, 8276, 639, 2193, 322, 1513, 9706, 2632, 13519, 3766, 1729, 9706, 2632, 13519, 3766, 1729, 3620, 626, 800, 269, 695, 15621, 267, 5291, 2517, 4178, 269, 4376, 12671, 322, 1513, 269, 635, 270, 3422, 271, 338, 2173, 639, 2193, 2275, 1513, 269, 16814, 5291, 2517, 321, 16078, 548, 756, 578, 6308, 269, 2121, 11305, 1513, 11305, 600, 16619, 11305, 600, 16619, 318, 20931, 270, 5291, 2517, 4178, 269, 782, 1706, 269, 635, 270, 16347, 4882, 10967, 12704, 269, 16814, 5291, 2517, 4178, 269, 26775, 269, 635, 270, 19477, 270, 10219, 278, 2420, 277, 268, 3422, 271, 338, 2275, 528, 557, 12076 ]

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

[ 704, 9386, 19752, 513, 3152, 6991, 269, 769, 1840, 267, 513, 12761, 1700, 5503, 3113, 2488, 4030, 3564, 1175, 3432, 282, 621, 666, 849, 2995, 721, 519, 4287, 538, 799, 606, 1843, 568, 3001, 269, 1403, 519, 13506, 568, 2942, 267, 713, 10522, 602, 519, 1843, 779, 6991, 568, 2942, 1932, 267, 2495, 602, 519, 1843, 568, 3001, 23651, 780, 2162, 7151, 540, 513, 12761, 5288, 942, 3113, 692, 4131, 779, 2015, 513, 1286, 3001, 2059, 513, 2786, 4155, 269, 1284, 4063, 922, 12761, 693, 1585, 2053, 267, 607, 3254, 538, 519, 1739, 3349, 269, 1635, 1210, 713, 1239, 267, 649, 666, 4729, 513, 12761, 1700, 5503, 3113, 269, 901, 3113, 1287, 3587, 513, 1907, 998, 799, 649, 666, 17429, 576, 519, 1286, 779, 6991, 780, 4131, 779, 1413, 693, 519, 1239, 1101, 547, 1265, 3270, 269, 1284, 1294, 602, 519, 12761, 4679, 20406, 2394, 476, 274, 521, 267, 543, 1287, 3587, 3586, 269, 901, 1797, 602, 519, 1286, 814, 513, 11931, 6991, 693, 1101, 543, 1287, 13515, 780, 3086, 267, 649, 4729, 519, 12761, 5288, 942, 3113, 1384, 4131, 779, 15475, 649, 1616, 547, 1265, 519, 6991, 540, 519, 1286, 1282, 519, 1101, 476, 274, 7643, 269, 1284, 666, 798, 713, 676, 4466, 519, 13506, 540, 519, 3113, 780, 763, 13506, 540, 519, 3113, 568, 3160, 547, 519, 1689, 538, 12761, 18121, 17218, 343, 1422, 18773, 521, 259, 264, 5258, 676, 519, 1689, 538, 942, 18121, 17218, 343, 1422, 18773, 512, 259, 17107, 2330, 341, 7807, 2765, 3189, 18773, 521, 7346, 18773, 512, 15732, 2330, 341, 7807, 2765, 18950, 2412, 268, 1015, 20972, 263, 274, 268, 271, 264, 15732, 2330, 341, 7807, 2765, 346, 1789, 2410, 274, 13157, 1015, 349, 315, 3667, 346, 916, 8703, 268, 272, 15732, 1012, 7756, 9537, 540, 18289, 543, 741, 28977, 692, 27039, 593, 519, 2010, 540, 5163, 267, 519, 12761, 5288, 942, 11708, 786, 4159, 1114, 4162, 269, 4197, 891, 2010, 540, 5163, 543, 741, 21370, 11269, 2636, 721, 547, 4612, 519, 2623, 540, 3001, 3615, 8308, 780, 2162, 19693, 20653, 6290, 18289, 692, 1607, 1826, 540, 5163, 4386, 950, 606, 1843, 7575, 693, 513, 11931, 3432, 609, 4642, 10231, 269, 2201, 513, 12761, 5288, 942, 3113, 267, 3586, 6991, 568, 6719, 676, 513, 2786, 1899, 269, 634, 9386, 540, 713, 1899, 630, 6518, 4564, 519, 6991, 264, 3788, 3586, 2429, 780, 2690, 5163, 540, 1079, 610, 811, 3615, 267, 519, 9386, 2982, 799, 1843, 568, 3001, 5488, 269, 634, 588, 2465, 704, 519, 9386, 267, 519, 3152, 519, 6991, 780, 2162, 13749, 776, 8629, 692, 2691, 606, 1843, 568, 19335, 267, 519, 12761, 568, 711, 4657, 267, 865, 519, 6991, 568, 1269, 17218, 343, 642, 284, 271, 10608, 634, 9386, 540, 513, 12761, 5288, 942, 3113, 585, 513, 19335, 1843, 568, 476, 271, 780, 2162, 20134, 6991, 692, 2691, 606, 1843, 814, 2942, 6991, 267, 922, 12761, 11081, 269, 634, 9386, 540, 713, 3113, 568, 2942, 269, 769, 519, 1739, 6516, 267, 519, 6991, 568, 2942, 1310, 942, 1269, 17218, 343, 570, 16859, 2162, 24665, 730, 18289, 692, 1607, 1826, 540, 5163, 4523, 950, 606, 1843, 779, 6991, 2242, 936, 942, 269, 769, 513, 12761, 5288, 942, 3113, 267, 18965, 5163, 568, 13269, 676, 513, 17208, 1899, 269, 634, 7455, 779, 14869, 1145, 2242, 267, 8204, 519, 4657, 6991, 780, 1012, 17972, 540, 2598, 10293, 5288, 5384, 28977, 692, 2162, 15474, 543, 20134, 2598, 10293, 692, 272, 269, 15474, 12761, 281, 2201, 519, 3113, 267, 621, 568, 20922, 676, 2798, 28367, 1657, 519, 942, 7852, 563, 273, 269, 20134, 12761, 281, 901, 6920, 3350, 538, 519, 4287, 6587, 547, 519, 6074, 2318, 4287, 269, 2201, 519, 3113, 267, 621, 568, 6719, 676, 2798, 28367, 2630, 519, 942, 7852, 563, 274, 269, 20023, 12761, 281, 20023, 12761, 666, 2901, 1611, 519, 1843, 568, 19335, 610, 621, 814, 8120, 547, 922, 4358, 2990, 269, 2201, 519, 3113, 267, 621, 779, 13269, 676, 2798, 14084, 593, 519, 942, 7852, 780, 2162, 32437, 538, 2598, 10293, 5288, 5384, 28977, 692, 272, 269, 4197, 9386, 281, 634, 9386, 540, 513, 1899, 538, 513, 12761, 5288, 942, 3113, 4564, 519, 6991, 540, 519, 1843, 563, 273, 269, 15474, 9386, 281, 589, 2318, 9386, 6920, 606, 1843, 568, 3001, 538, 519, 2318, 4287, 269, 589, 588, 2465, 704, 9386, 4564, 513, 2362, 6991, 563, 274, 269, 20134, 9386, 281, 589, 2942, 9386, 1797, 5163, 538, 519, 2942, 4287, 269, 589, 588, 2465, 704, 2942, 9386, 18575, 513, 2362, 3432, 855, 538, 519, 6587, 4287, 563, 275, 269, 20023, 9386, 281, 589, 4642, 9386, 1797, 519, 1843, 568, 711, 3001, 267, 1775, 4318, 1421, 621, 814, 4642, 6991, 780, 2162, 962, 268, 11328, 1061, 538, 2598, 10293, 5288, 5384, 28977, 692, 272, 269, 3955, 31147, 586, 25435, 281, 769, 513, 12761, 5288, 942, 3113, 267, 519, 586, 25435, 4564, 519, 3355, 12761, 540, 519, 1843, 693, 942, 4642, 563, 273, 269, 15474, 543, 2942, 586, 25435, 281, 589, 2318, 586, 25435, 6920, 606, 3355, 12761, 538, 519, 2318, 4287, 267, 1247, 513, 2942, 586, 25435, 5267, 606, 3355, 12761, 538, 519, 2942, 4287, 269, 0, 258, 476, 280, 1321, 275, 630, 15893, 2020, 280, 267, 14862, 630, 333, 710, 8536, 835, 4627, 8938, 21144, 264, 568, 606, 1256, 2185, 1673, 580, 1080, 12432, 1297, 1739, 476, 280, 1321, 274, 543, 18631, 476, 280, 1321, 276, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 280, 269, 14862, 6398, 476, 9818, 269, 634, 2040, 540, 922, 9704, 568, 476, 1626, 269, 898, 814, 513, 2698, 540, 476, 274, 6305, 2188, 543, 476, 277, 2318, 16975, 269, 1703, 616, 476, 275, 267, 28794, 2318, 9981, 630, 1575, 547, 476, 280, 1321, 275, 264, 602, 616, 5266, 6305, 547, 476, 280, 1321, 275, 780, 1012, 9978, 3601, 692, 1892, 1772, 11788, 286, 3143, 454, 1892, 7089, 26027, 4634, 454, 1892, 7089, 3259, 476, 275, 454, 1892, 5681, 540, 6226, 1080, 476, 1626, 454, 1892, 7913, 17848, 476, 278, 692, 1012, 8745, 692, 14112, 2012, 476, 280, 8536, 476, 14862, 8370, 8536, 835, 4627, 8938, 21144, 692, 1012, 3502, 566, 692, 26199, 10035, 476, 280, 269, 14862, 6398, 476, 9818, 476, 280, 269, 14862, 6398, 476, 9818, 692, 1012, 11788, 16748, 1436, 540, 476, 280, 1321, 275, 692, 28269, 16748, 1436, 476, 2420, 6398, 476, 25248, 272, 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, 274, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 27174, 273, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 910, 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, 271, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 271, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 280, 267, 14862, 568, 476, 2420, 6398, 476, 25248, 272, 269, 4595, 621, 814, 513, 2698, 540, 476, 274, 6305, 2188, 267, 476, 280, 267, 14862, 568, 513, 12432, 1297, 780, 1012, 6555, 30583, 540, 476, 280, 1321, 275, 692, 272, 267, 476, 273, 267, 476, 275, 267, 476, 25248, 272, 267, 476, 27174, 273, 267, 476, 280, 1321, 275, 692, 277, 16975, 692, 4634, 16975, 476, 275, 476, 273, 476, 273, 476, 271, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 277, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 14689, 10619, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 277, 5952, 271, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 29214, 273, 269, 3451, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 4817, 269, 31982, 277, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 274, 269, 275, 2767, 5881, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 280, 267, 14862, 666, 581, 5258, 676, 476, 277, 2318, 16975, 630, 719, 540, 799, 476, 275, 616, 1256, 267, 543, 476, 273, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 280, 267, 14862, 264, 568, 476, 1428, 267, 9032, 275, 267, 519, 3328, 568, 476, 2918, 267, 7830, 1421, 18357, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 280, 1321, 275, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 27174, 271, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 25248, 271, 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, 13647, 276, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 279, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 275, 267, 28794, 2318, 9981, 630, 1652, 982, 476, 280, 267, 14862, 264, 602, 616, 2941, 31870, 609, 476, 280, 267, 14862, 269, 1656, 972, 616, 5111, 476, 272, 267, 13670, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 280, 267, 14862, 780, 1012, 6555, 529, 2225, 540, 476, 280, 1321, 275, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 271, 476, 272, 476, 271, 476, 275, 476, 275, 476, 274, 476, 275, 476, 278, 692, 763, 1297, 476, 280, 267, 14862, 568, 16883, 676, 476, 273, 543, 476, 275, 780, 1892, 4347, 17087, 692, 1892, 2717, 924, 692, 1012, 12476, 7503, 630, 280, 1321, 275, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 1911, 18733, 6200, 9826, 876, 454, 274, 570, 1716, 776, 476, 8099, 9340, 21854, 454, 275, 2372, 15715, 776, 476, 10711, 21854, 271, 454, 276, 2372, 2435, 476, 26237, 29900, 454, 277, 7354, 776, 476, 8099, 14862, 454, 279, 4239, 531, 476, 21327, 4510, 454, 1015, 27252, 476, 280, 1321, 275, 454, 1321, 13660, 1712, 31565, 476, 276, 4097, 275, 454, 736, 966, 580, 525, 2711, 476, 1321, 326, 275, 454, 3607, 12476, 3607, 476, 10170, 326, 692, 1012, 9978, 9273, 630, 333, 815, 476, 280, 1321, 275, 2020, 2162, 18527, 692, 333, 9943, 344, 454, 562, 9943, 273, 476, 9264, 4366, 476, 24129, 7761, 476, 3607, 275, 9834, 476, 27174, 736, 692, 2162, 10406, 692, 333, 383, 371, 344, 454, 562, 383, 371, 273, 476, 27174, 273, 476, 19054, 272, 269, 3451, 476, 25248, 272, 476, 9264, 275, 269, 279, 692, 2162, 5890, 9426, 2747, 692, 5500, 454, 562, 273, 476, 279, 3953, 5325, 274, 10602, 476, 4037, 280, 276, 5392, 4962, 279, 277, 2190, 476, 7597, 274, 23713, 6321, 272, 5400, 279, 276, 4391, 277, 476, 277, 3953, 19054, 32133, 278, 4391, 8687, 3583, 277, 2190, 692, 2162, 715, 628, 17848, 692, 344, 18414, 333, 454, 476, 273, 18414, 333, 476, 4817, 269, 31982, 277, 476, 736, 269, 279, 4817, 280, 476, 280, 269, 6507, 274, 6078, 476, 277, 269, 3707, 11463, 692, 1012, 476, 280, 1321, 275, 607, 12166, 5546, 692, 2162, 17781, 692, 18924, 2678, 476, 9264, 4366, 476, 6872, 274, 2767, 269, 279, 476, 273, 269, 277, 1428, 3066, 324, 266, 5400, 692, 2162, 1975, 1877, 692, 11730, 476, 274, 269, 8687, 6795, 324, 266, 1321, 476, 272, 269, 271, 5379, 1321, 324, 266, 6021, 476, 6872, 274, 2767, 269, 279, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 3607, 275, 9834, 476, 279, 269, 27844, 10619, 324, 266, 5881, 476, 15782, 6734, 269, 274, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 275, 269 ]

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

[ 0, 4692, 1411, 16473, 5253, 2353, 25489, 888, 288, 2603, 540, 3237, 4898, 267, 666, 596, 2061, 1426, 11959, 286, 898, 779, 513, 1434, 2243, 256, 5253, 11959, 3100, 547, 581, 593, 519, 4473, 538, 519, 2475, 269, 4653, 267, 476, 272, 538, 476, 1724, 3214, 538, 519, 2475, 814, 513, 1426, 14711, 543, 602, 1297, 568, 3395, 563, 3963, 286, 4270, 267, 519, 3123, 540, 1426, 11959, 616, 7164, 269, 1656, 267, 1247, 972, 616, 1082, 26968, 985, 267, 972, 568, 930, 2963, 602, 596, 666, 2061, 1426, 11959, 538, 707, 2370, 3283, 269, 1215, 286, 1635, 8023, 707, 3214, 519, 3536, 602, 4122, 2014, 11959, 2038, 543, 1419, 563, 13425, 856, 938, 3381, 267, 3366, 676, 513, 12963, 1014, 543, 3158, 454, 2171, 2813, 513, 1357, 14373, 547, 10002, 871, 519, 1007, 5583, 689, 519, 1977, 9142, 540, 27435, 269, 13772, 621, 693, 707, 16837, 256, 31327, 721, 998, 519, 1202, 543, 519, 16080, 568, 4604, 14468, 12963, 1014, 3220, 269, 12756, 5211, 320, 269, 2701, 9397, 1524, 3388, 596, 991, 547, 917, 827, 875, 547, 6338, 1455, 1426, 23480, 543, 1101, 3536, 563, 2171, 3382, 1018, 596, 991, 547, 917, 827, 875, 547, 2061, 1426, 11959, 454, 11854, 32496, 267, 3220, 269, 12756, 786, 948, 721, 547, 454, 268, 1174, 519, 1007, 589, 4338, 4808, 543, 1018, 789, 1611, 585, 721, 607, 3237, 454, 268, 3533, 1413, 693, 519, 1382, 543, 4681, 602, 3366, 547, 519, 1007, 5583, 630, 14588, 32496, 827, 30637, 994, 268, 4137, 856, 952, 707, 1126, 568, 693, 2362, 1981, 585, 513, 1426, 14711, 454, 268, 2689, 950, 17571, 616, 3617, 585, 2370, 3283, 454, 268, 1451, 875, 543, 950, 547, 6338, 519, 3536, 602, 616, 519, 1455, 1426, 23480, 543, 1946, 602, 666, 2061, 1426, 11959, 0, 763, 24068, 7245, 7947, 338, 519, 4214, 540, 968, 4725, 18945, 892, 585, 13155, 2831, 543, 7024, 547, 519, 1620, 602, 11478, 1354, 519, 2229, 896, 5518, 18496, 808, 269, 11686, 4389, 519, 2127, 602, 1223, 581, 6870, 585, 2831, 896, 3463, 540, 14486, 563, 3528, 9427, 513, 2582, 4845, 689, 519, 6042, 267, 519, 2136, 2276, 12551, 543, 13812, 6796, 543, 519, 2817, 7909, 545, 543, 27321, 10029, 30656, 1223, 556, 3491, 15157, 519, 968, 322, 15560, 7226, 892, 1256, 952, 621, 2968, 20025, 1813, 547, 7835, 610, 824, 2242, 267, 855, 1223, 581, 17468, 563, 763, 11686, 7245, 7522, 539, 519, 4214, 540, 968, 4725, 18945, 892, 543, 3908, 5313, 4027, 547, 4025, 602, 1223, 2844, 606, 13155, 2249, 267, 7429, 519, 6626, 3140, 1604, 1141, 606, 3662, 1223, 835, 1554, 2661, 610, 2661, 563, 3719, 519, 11686, 7245, 779, 4341, 729, 14669, 547, 519, 5726, 5301, 540, 519, 29510, 15661, 2920, 476, 3192, 274, 267, 7320, 8387, 2161, 563, 2108, 2690, 930, 2249, 602, 616, 593, 519, 2357, 613, 540, 14486, 1813, 547, 7226, 2530, 610, 2916, 1689, 267, 543, 972, 616, 12777, 1082, 9249, 2451, 267, 649, 991, 782, 519, 2645, 538, 519, 32367, 547, 2149, 519, 6967, 9249, 602, 1522, 581, 3617, 1848, 1767, 20710, 1326, 13056, 30750, 267, 2212, 540, 519, 5726, 543, 8760, 6498, 693, 519, 12551, 543, 13812, 6796, 563, 20245, 16786, 540, 519, 24068, 7245, 454, 28347, 24068, 568, 11319, 585, 31749, 6042, 267, 855, 646, 814, 513, 2182, 1259, 547, 3035, 1010, 3853, 538, 519, 4339, 1996, 2518, 8337, 563, 27287, 7226, 25084, 1281, 711, 6615, 2534, 593, 4357, 2244, 8259, 621, 3322, 5313, 14998, 610, 7616, 282, 5313, 8041, 1590, 2327, 602, 1022, 3800, 602, 2508, 267, 11863, 610, 2936, 798, 711, 6861, 610, 28148, 7369, 971, 9249, 563, 763, 1847, 2501, 693, 513, 942, 540, 14556, 4328, 9265, 6433, 267, 609, 606, 6059, 2929, 13155, 2030, 543, 3662, 2249, 5001, 269, 634, 1292, 2014, 568, 519, 2530, 540, 519, 2067, 1604, 607, 1004, 2981, 3552, 2127, 883, 11396, 267, 10034, 543, 14252, 269, 21694, 543, 2916, 1689, 22652, 713, 1966, 563, 763, 1689, 676, 519, 24068, 7245, 568, 519, 1101, 540, 1896, 4397, 2242, 547, 519, 11686, 268, 5028, 3652, 12044, 519, 29510, 15661, 2920, 269, 12079, 10118, 2503, 621, 547, 4735, 531, 519, 2034, 4341, 1985, 3923, 267, 849, 1644, 547, 7226, 2115, 269, 2423, 17067, 538, 4873, 267, 789, 6069, 513, 1007, 4341, 602, 1131, 7794, 519, 4027, 540, 2249, 538, 513, 4657, 2916, 676, 3850, 22124, 547, 6338, 8097, 3662, 5095, 3544, 741, 8978, 4609, 563, 3719, 513, 5094, 267, 3573, 1305, 540, 2242, 689, 519, 11686, 5736, 538, 875, 519, 29510, 15661, 2920, 568, 8045, 267, 1500, 538, 476, 1001, 280, 267, 2611, 538, 1747, 543, 4566, 585, 873, 616, 15458, 267, 2825, 1235, 2161, 269, 1452, 3652, 1450, 22124, 547, 1491, 2804, 2188, 883, 2272, 950, 14045, 593, 2249, 4027, 282, 547, 7520, 519, 8851, 540, 2831, 543, 2371, 689, 519, 1592, 540, 13155, 2831, 282, 5305, 4027, 585, 2249, 9241, 9286, 607, 2048, 754, 11139, 8730, 799, 568, 519, 1377, 2630, 13155, 282, 543, 1118, 621, 811, 2352, 547, 2015, 519, 2360, 540, 2916, 1689, 538, 7863, 13155, 2249, 563, 4322, 2242, 723, 1044, 15874, 676, 2872, 2516, 1519, 512, 763, 2817, 5948, 540, 5851, 12706, 619, 267, 519, 2817, 595, 4490, 5443, 779, 2142, 1030, 5948, 543, 519, 5375, 6052, 19137, 267, 799, 20888, 519, 9431, 8323, 563, 4913, 267, 5726, 2516, 19429, 513, 3656, 1843, 542, 547, 713, 1305, 540, 3652, 538, 476, 1001, 280, 267, 513, 2013, 602, 568, 1869, 5571, 563, 2108, 4322, 5739, 3652, 723, 1044, 538, 1747, 585, 3592, 1614, 1296, 267, 543, 519, 24068, 7245, 568, 1869, 1524, 2223, 1767, 26701, 523, 15196, 956, 267, 513, 15818, 585, 3047, 3286, 823, 267, 513, 1875, 17416, 2825, 1895, 602, 814, 19429, 4031, 7057, 593, 15773, 540, 1082, 2825, 3906, 269, 968, 4517, 8041, 267, 540, 1576, 267, 946, 873, 1317, 789, 723, 547, 946, 6042, 602, 616, 538, 1747, 2223, 1352, 1767, 267, 13288, 547, 2229, 2516, 971, 607, 519, 12551, 543, 13812, 6796, 563, 288, 1032, 3516, 267, 13222, 540, 519, 24068, 7245, 9307, 741, 9837, 547, 556, 29264, 519, 1689, 269, 1358, 616, 1631, 32261, 513, 5480, 3375, 593, 519, 476, 1001, 280, 10189, 563, 2108, 305, 1430, 982, 3981, 532, 513, 4341, 602, 1131, 1287, 723, 547, 581, 2417, 15428, 1759, 593, 519, 5480, 15194, 267, 649, 2219, 621, 1655, 547, 7227, 585, 1018, 519, 5480, 1131, 2161, 1354, 2921, 2417, 2962, 2223, 1767, 4911, 11253, 590, 2174, 320, 267, 2212, 540, 519, 13155, 2249, 6498, 693, 30857, 269, 8433, 585, 13363, 539, 8249, 269, 0, 763, 1034, 4070, 540, 6671, 3196, 1186, 11608, 2919, 585, 30194, 12362, 6391, 616, 6186, 11608, 269, 9603, 547, 922, 12122, 543, 5179, 12972, 267, 6186, 11608, 616, 1198, 539, 676, 1804, 24880, 3196, 269, 1452, 1804, 24880, 3196, 1118, 12427, 547, 5397, 11608, 7411, 269, 4475, 267, 538, 1931, 547, 7500, 3362, 267, 519, 3001, 2694, 799, 616, 1198, 539, 689, 8904, 3196, 1058, 581, 1507, 269, 14022, 11608, 616, 1500, 547, 708, 10028, 4070, 540, 519, 1480, 269, 1809, 2094, 519, 5163, 568, 11658, 676, 7708, 8364, 538, 30194, 12362, 6391, 267, 519, 6186, 4070, 949, 711, 581, 5078, 269, 634, 835, 540, 519, 1655, 1259, 547, 1847, 3196, 1186, 568, 547, 5397, 7708, 8364, 2047, 269, 769, 6069, 7271, 267, 11608, 1847, 7708, 8364, 2694, 2047, 547, 1118, 1439, 1198, 528, 1507, 269, 18858, 8364, 814, 476, 274, 5232, 538, 835, 4745, 543, 25688, 10377, 633, 1062, 666, 8275, 3818, 5232, 540, 5191, 538, 835, 4745, 269, 4935, 267, 25688, 10377, 633, 568, 4294, 538, 6069, 7271, 269, 31401, 1397, 519, 14496, 540, 6069, 1505, 269, 0, 12024, 782, 1434, 575, 2465, 802, 649, 2648, 938, 6305, 2338, 269, 1358, 2811, 835, 540, 519, 1034, 4277, 1919, 547, 1353, 538, 6128, 563, 28646, 602, 781, 1946, 649, 1265, 713, 11788, 10606, 538, 513, 13340, 1788, 865, 1439, 8960, 269, 898, 781, 7168, 2241, 538, 2259, 267, 2046, 513, 7735, 282, 1205, 513, 6305, 1297, 563, 257, 1692, 1082, 2053, 723, 596, 2877, 519, 1985, 6305, 1297, 538, 513, 5311, 543, 267, 899, 930, 3662, 267, 1185, 547, 979, 547, 513, 9102, 3349, 547, 1413, 621, 909, 2437, 3081, 1733, 529, 5652, 307, 24546, 31640, 601, 269, 834, 11039, 267, 1346, 2395, 616, 936, 4799, 268, 12706, 1344, 281, 11788, 10606, 538, 513, 13340, 454, 763, 2956, 540, 6305, 2338, 454, 4322, 2338, 616, 2442, 538, 14238, 543, 25563, 269, 901, 568, 1317, 519, 2338, 267, 799, 616, 1152, 16883, 676, 2933, 543, 835, 267, 666, 581, 16611, 1927, 563, 2252, 596, 9062, 1079, 22136, 1927, 267, 596, 1205, 513, 1857, 1883, 269, 901, 1297, 568, 1031, 547, 9376, 1239, 543, 666, 581, 3838, 11884, 269, 1809, 547, 12260, 519, 1239, 267, 596, 991, 547, 917, 519, 1079, 22136, 1031, 547, 5352, 621, 563, 4407, 621, 781, 2653, 585, 513, 2780, 547, 5352, 519, 1883, 689, 519, 1079, 22136, 267, 621, 781, 1360, 2352, 585, 519, 2780, 547, 1205, 519, 1079, 2338, 689, 519, 1883, 563, 2467, 781, 513, 1390, 3381, 1934, 676, 17363, 623, 2086, 6511, 602, 6941, 875, 6305, 2338, 543, 25563, 960, 563, 9596, 827, 22136, 676, 2679, 513, 4216, 602, 12958, 873, 454, 4407, 1733, 529, 4486, 307, 24546, 31640, 1564, 1788, 3085, 1405, 1711, 22136, 585, 25563, 269, 5502, 267, 519, 1628, 1175, 22842, 519, 6228, 540, 891, 1390, 2338, 563, 10454, 1788, 814, 606, 19278, 8301, 1198, 952, 596, 616, 883, 2338, 2437, 3081, 519, 20536, 269, 834, 18208, 513, 7735, 543, 2398, 1307, 538, 513, 13340, 3947, 606, 2912, 1043, 630, 7758, 599, 4945, 264, 5365, 585, 1142, 1875, 17376, 830, 607, 621, 3649, 1080, 547, 4159, 519, 1985, 1336, 6305, 269, 1403, 596, 2972, 6128, 267, 596, 949, 1265, 713, 9642, 569, 21363, 4799, 10454, 5124, 2707, 568, 7168, 3551, 267, 6941, 519, 20536, 269, 834, 4002, 7735, 2046, 267, 513, 24072, 547, 513, 3758, 5627, 519, 1101, 1906, 2929, 22136, 568, 4994, 539, 543, 10268, 593, 519, 700, 7374, 269, 589, 476, 276, 13748, 290, 20794, 30390, 547, 2099, 519, 1875, 17376, 1307, 538, 1063, 269, 634, 6551, 8255, 3842, 18292, 1379, 267, 543, 519, 2063, 1336, 6305, 568, 2141, 10710, 269, 589, 13561, 1412, 3333, 583, 6658, 262, 7735, 568, 11368, 547, 1450, 519, 30722, 13100, 547, 581, 13324, 1524, 30780, 952, 621, 2115, 547, 581, 6410, 4799, 2791, 3513, 1451, 513, 1906, 1919, 827, 2542, 543, 1603, 547, 1257, 6119, 538, 713, 1788, 269, 1656, 596, 3513, 1451, 875, 547, 946, 606, 700, 7374, 543, 20794, 269, 2859, 11932, 267, 596, 3513, 2760, 581, 2110, 540, 22136, 1586, 269, 1656, 596, 1522, 1256, 581, 707, 1101, 1900, 2509, 4742, 513, 6939, 19212, 269, 0, 18128, 2064, 689, 2789, 2959, 1397, 602, 10708, 723, 3908, 1569, 547, 4638, 543, 10285, 1072, 1344, 543, 2533, 269, 21989, 267, 2523, 267, 723, 2370, 610, 1100, 8116, 936, 741, 1272, 5079, 267, 799, 28148, 1860, 741, 1072, 5498, 22701, 2623, 547, 2232, 2152, 899, 2038, 7365, 267, 13311, 26691, 267, 543, 22247, 705, 25344, 269, 3958, 267, 16526, 543, 3668, 540, 2533, 2014, 5458, 10616, 538, 18492, 9882, 543, 10285, 1072, 4656, 1851, 10708, 538, 6917, 3127, 269, 1306, 519, 1158, 7436, 4139, 20390, 30105, 685, 2657, 10432, 630, 18550, 476, 2641, 1107, 476, 2767, 1070, 621, 568, 2565, 547, 1445, 593, 5466, 519, 2596, 1072, 543, 8171, 540, 938, 10708, 563, 10932, 814, 3254, 602, 7459, 602, 1331, 11865, 532, 540, 4977, 1344, 543, 2069, 827, 4638, 543, 10285, 1072, 1851, 10708, 1223, 948, 2569, 14774, 7972, 267, 796, 680, 10165, 26691, 267, 22247, 705, 25344, 543, 2087, 18492, 9882, 538, 6917, 543, 896, 1606, 5703, 4683, 2950, 269, 6176, 23793, 3292, 666, 13497, 2569, 519, 16663, 1472, 14920, 267, 1225, 18571, 2942, 4638, 543, 10285, 1072, 4093, 267, 543, 7668, 1762, 10708, 547, 3635, 8116, 538, 6927, 899, 7365, 543, 1920, 4058, 563, 2005, 568, 267, 2705, 267, 513, 4161, 547, 7006, 1619, 1344, 827, 28689, 543, 10285, 1072, 538, 4525, 1141, 4008, 2861, 7130, 568, 24245, 543, 1762, 15730, 6690, 723, 3908, 1569, 547, 2883, 2200, 267, 10688, 267, 543, 519, 1379, 540, 3375, 1818, 269, 901, 568, 1141, 3906, 899, 519, 15510, 7690, 540, 3127, 1404, 513, 2565, 1909, 538, 28043, 1344, 10616, 543, 30015, 10708, 267, 6107, 267, 543, 824, 8639, 1369, 519, 2146, 609, 2200, 267, 1702, 543, 8220, 873, 547, 2139, 2533, 563, 19667 ]

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

[ 7044, 563, 273, 269, 6034, 1559, 281, 6034, 1559, 616, 1031, 547, 10891, 6119, 883, 513, 15796, 269, 1358, 1683, 513, 9266, 2497, 602, 2306, 621, 4443, 547, 1265, 543, 1569, 6119, 563, 274, 269, 5450, 20631, 281, 5450, 20631, 568, 1239, 602, 6257, 519, 3601, 540, 513, 3758, 610, 15682, 267, 971, 607, 922, 2450, 267, 5137, 4266, 267, 14842, 4266, 267, 8227, 267, 27704, 267, 543, 4087, 593, 519, 12210, 563, 275, 269, 11711, 2353, 6327, 7305, 630, 293, 2969, 2567, 634, 674, 2969, 568, 513, 3349, 602, 7851, 3758, 6753, 593, 519, 12210, 269, 898, 8952, 3950, 540, 799, 13421, 616, 538, 946, 543, 799, 3283, 616, 1863, 563, 276, 269, 645, 2393, 30359, 281, 634, 18849, 5823, 3568, 3009, 602, 568, 13401, 950, 519, 2780, 6238, 909, 269, 898, 13907, 519, 5665, 1062, 883, 3965, 543, 10596, 1852, 547, 621, 563, 277, 269, 3487, 819, 7305, 281, 634, 15652, 3349, 17337, 519, 12210, 883, 5094, 6810, 1572, 851, 1431, 269, 3962, 15652, 666, 723, 922, 1378, 3758, 1062, 543, 581, 7307, 10446, 780, 15650, 540, 11711, 7010, 912, 2467, 616, 1896, 1114, 2010, 540, 3758, 1949, 267, 1142, 609, 922, 9342, 543, 12755, 269, 2368, 1455, 3758, 1949, 1331, 1384, 272, 269, 24857, 12396, 630, 6124, 5303, 11711, 3590, 2567, 31603, 676, 9786, 267, 24857, 12396, 568, 4922, 1031, 593, 8837, 1949, 269, 898, 7028, 1804, 6119, 267, 14238, 267, 13496, 267, 543, 1569, 8060, 563, 273, 269, 12327, 307, 630, 15761, 2105, 11711, 3590, 2567, 31603, 585, 12380, 267, 972, 616, 1896, 8747, 540, 519, 12327, 307, 3758, 1062, 267, 1519, 12327, 307, 273, 267, 12327, 307, 274, 267, 543, 12327, 307, 275, 269, 1452, 3758, 1949, 1489, 30998, 267, 799, 10607, 2773, 543, 10727, 563, 274, 269, 670, 12396, 266, 630, 295, 1512, 1105, 673, 11711, 3590, 9578, 2567, 31603, 676, 11197, 267, 670, 12396, 266, 568, 1031, 593, 5672, 5308, 1949, 269, 898, 7028, 27034, 3406, 4994, 532, 267, 14238, 267, 543, 30998, 563, 275, 269, 6673, 12396, 630, 7343, 548, 11711, 3590, 2567, 1234, 680, 5217, 670, 12396, 31956, 6673, 12396, 729, 2919, 676, 11197, 585, 2413, 5839, 338, 269, 898, 3091, 4824, 2773, 267, 3354, 267, 543, 10727, 3379, 547, 670, 12396, 266, 563, 276, 269, 608, 293, 2969, 630, 15761, 2105, 11711, 2353, 6327, 7305, 2567, 23850, 585, 8755, 11479, 543, 12676, 6486, 267, 608, 293, 2969, 2488, 1732, 17356, 2066, 2789, 5867, 982, 824, 3758, 1949, 780, 26794, 543, 32539, 540, 11711, 7010, 912, 10376, 1826, 540, 3758, 1062, 814, 922, 5383, 543, 11393, 269, 19805, 519, 1318, 3758, 1062, 5673, 593, 2188, 899, 519, 5497, 6165, 9183, 267, 3760, 17356, 267, 543, 5551, 2934, 269, 3371, 616, 930, 5294, 543, 931, 540, 3758, 1949, 1384, 26794, 1384, 265, 5029, 1125, 6119, 883, 513, 11295, 15796, 454, 265, 3629, 27034, 602, 2636, 3755, 547, 3533, 12398, 543, 13861, 6119, 454, 265, 8081, 1114, 3758, 12043, 267, 7306, 267, 543, 10305, 454, 265, 13724, 1062, 2773, 998, 524, 2286, 543, 4776, 564, 4221, 2553, 454, 265, 20644, 4359, 2934, 899, 14238, 267, 13496, 267, 543, 30998, 692, 11514, 23955, 1384, 265, 29203, 949, 1291, 547, 1761, 6959, 1282, 10380, 543, 12122, 454, 265, 13437, 4123, 26160, 1063, 3432, 267, 4390, 267, 543, 21336, 3599, 454, 265, 17290, 17356, 1063, 1114, 3758, 1949, 543, 5665, 1949, 454, 265, 8232, 16426, 1813, 547, 12961, 610, 13817, 29664, 323, 5468, 692, 16032, 13756, 585, 19737, 11711, 7010, 912, 2080, 616, 930, 1655, 2853, 585, 5883, 3758, 1949, 1384, 272, 269, 17115, 19307, 1271, 6119, 547, 2061, 1239, 2530, 1813, 547, 8800, 5821, 610, 3593, 5470, 563, 273, 269, 18554, 12210, 2230, 13345, 547, 2057, 4881, 856, 540, 4055, 585, 1007, 6119, 563, 274, 269, 5590, 3617, 1569, 8060, 547, 2327, 1152, 17101, 3755, 666, 1224, 267, 2328, 267, 610, 14892, 6119, 563, 275, 269, 11270, 1227, 1219, 4048, 618, 28283, 547, 2087, 2773, 543, 2569, 26610, 563, 276, 269, 5901, 3758, 1949, 8242, 547, 2232, 1634, 3354, 16426, 543, 17079, 4368, 525, 563, 277, 269, 7994, 519, 1318, 3758, 1062, 1759, 593, 519, 1808, 2115, 540, 519, 3498, 610, 24913, 563, 278, 269, 25956, 9568, 6051, 4566, 547, 7413, 29987, 543, 9156, 4503, 1239, 563, 279, 269, 7427, 29449, 7840, 585, 8848, 1005, 543, 25122, 3758, 1949, 563, 280, 269, 11657, 2242, 547, 3758, 1949, 543, 5781, 20894, 19383, 585, 10220, 563, 1015, 269, 22982, 2645, 899, 669, 330, 1091, 330, 267, 535, 338, 1188, 267, 543, 2598, 330, 7780, 1006, 547, 13209, 543, 7816, 3758, 1062, 2152, 780, 6962, 912, 8139, 3758, 1949, 568, 2629, 585, 2500, 1062, 7245, 269, 7743, 2359, 540, 3758, 1949, 5849, 6099, 2773, 267, 3354, 267, 543, 8244, 540, 1239, 269, 1306, 2029, 5170, 547, 11457, 267, 865, 1932, 798, 3758, 1949, 269, 853, 11691, 5483, 827, 1007, 7835, 543, 1655, 2853, 666, 948, 596, 1118, 5483, 3664, 827, 875, 547, 19022, 543, 2226, 3758, 1949, 585, 707, 3919, 781, 2115, 269, 6787, 596, 616, 2324, 609, 8837, 267, 12380, 267, 610, 5672, 5308, 267, 13215, 3758, 1062, 17950, 786, 4196, 596, 1134, 2429, 707, 4876, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4002, 901, 8525, 454, 763, 9906, 18361, 3568, 1082, 540, 519, 4507, 543, 5773, 585, 1053, 693, 12876, 7615, 2160, 269, 898, 849, 3568, 1344, 827, 12876, 7615, 781, 1686, 267, 5692, 267, 543, 2528, 267, 607, 1134, 607, 513, 1297, 540, 519, 2533, 543, 2200, 2139, 547, 1053, 563, 763, 4507, 8659, 538, 713, 25156, 616, 10858, 547, 782, 12876, 7615, 2160, 1053, 910, 15938, 267, 10927, 267, 543, 851, 6066, 269, 1280, 7156, 540, 782, 4507, 543, 5773, 1644, 547, 1373, 513, 2875, 693, 12876, 7615, 2160, 267, 519, 6280, 632, 2114, 513, 2875, 607, 606, 1367, 945, 568, 10805, 585, 5049, 543, 4607, 543, 5924, 1500, 8569, 593, 519, 10997, 2404, 609, 20343, 693, 12876, 7615, 2160, 269, 4841, 616, 3743, 585, 1373, 5432, 609, 543, 735, 2391, 609, 519, 1699, 4528, 540, 519, 25156, 267, 607, 1134, 607, 1022, 3606, 12876, 7615, 2160, 18361, 4433, 264, 9783, 676, 519, 1982, 610, 2238, 538, 799, 789, 616, 19801, 269, 13786, 1043, 2623, 568, 2838, 540, 12876, 7615, 1053, 267, 16382, 789, 616, 267, 543, 519, 9906, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 3590, 10029, 1315, 19554, 1299, 4825, 4471, 1998, 1315, 11711, 7010, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 538, 513, 1507, 8498, 538, 5333, 267, 972, 729, 513, 1895, 540, 2828, 3957, 24839, 267, 21322, 267, 10496, 13196, 267, 543, 19863, 8291, 269, 1358, 6068, 1565, 827, 1114, 1919, 267, 2523, 2257, 256, 2290, 1554, 789, 4956, 547, 979, 593, 513, 11477, 7045, 547, 1451, 827, 2757, 3943, 3536, 13881, 1282, 2686, 16873, 780, 5575, 267, 789, 10272, 4258, 325, 31839, 12251, 945, 6026, 873, 875, 547, 1118, 3213, 336, 14193, 15550, 269, 1261, 6045, 602, 950, 596, 3434, 5779, 609, 15755, 15559, 899, 9174, 267, 621, 2337, 2736, 1524, 519, 9157, 5946, 1818, 519, 9269, 13035, 543, 30861, 269, 901, 1184, 568, 1572, 3954, 4405, 566, 269, 634, 3214, 941, 27086, 543, 9599, 547, 2119, 741, 1007, 5137, 2439, 9202, 267, 789, 4682, 547, 8496, 877, 667, 1575, 2632, 781, 10051, 1141, 1352, 4951, 873, 875, 547, 5965, 2142, 1030, 25816, 7666, 793, 517, 269, 2701, 5143, 873, 602, 8022, 909, 519, 12403, 7444, 2636, 519, 10366, 547, 5283, 323, 1927, 2870, 513, 8949, 6492, 269, 1879, 3002, 568, 4294, 547, 6675, 267, 741, 5163, 4679, 4929, 873, 547, 1847, 5488, 543, 2458, 728, 811, 1419, 799, 19082, 856, 519, 8137, 2429, 519, 8670, 269, 634, 2828, 7948, 1405, 7227, 547, 2007, 538, 2439, 2026, 789, 4797, 741, 3460, 267, 789, 4362, 13158, 520, 537, 4068, 1373, 5423, 676, 631, 976, 773, 584, 2274, 4565, 4545, 269, 22628, 782, 1346, 10477, 5388, 267, 12756, 4280, 1946, 930, 5613, 543, 19787, 1689, 2681, 950, 2759, 1930, 269, 634, 27697, 14452, 602, 11476, 1459, 538, 891, 3536, 2746, 609, 5135, 3056, 547, 536, 20621, 269, 1717, 267, 952, 596, 27653, 873, 538, 1216, 6404, 609, 11993, 10433, 610, 16693, 267, 621, 11151, 16617, 543, 8952, 519, 4778, 6505, 269, 2271, 29098, 267, 519, 14228, 6836, 3257, 713, 4603, 1394, 1753, 543, 2386, 2614, 267, 621, 5249, 2439, 4263, 2063, 267, 789, 6603, 8496, 655, 12251, 16279, 12359, 773, 781, 1273, 1170, 24809, 1634, 585, 922, 4583, 9197, 11726, 1889, 5696, 383, 375, 331, 19902, 269, 2701, 7152, 875, 8731, 4221, 519, 1283, 1286, 14712, 3278, 519, 4006, 2870, 513, 2182, 4837, 6438, 9403, 1813, 547, 519, 8575, 650, 731, 5114, 1063, 11254, 7408, 543, 4227, 14836, 896, 1164, 3002, 269, 26812, 3990, 267, 519, 3214, 9289, 952, 789, 1223, 4019, 2257, 2035, 4121, 1282, 741, 7045, 538, 741, 3232, 2729, 1932, 780, 4913, 267, 711, 1169, 6364, 729, 1018, 789, 4397, 269, 2311, 12129, 602, 3781, 267, 11235, 547, 1397, 1055, 741, 1983, 267, 10496, 13196, 13986, 547, 3432, 909, 519, 5986, 1184, 540, 1010, 844, 7865, 269, 10251, 267, 646, 8694, 909, 23986, 908, 519, 14089, 4929, 519, 12933, 547, 6633, 269, 3571, 16254, 18056, 1864, 602, 554, 4292, 2306, 3653, 543, 3006, 3500, 543, 11931, 17993, 519, 5198, 269, 6736, 519, 26151, 844, 7865, 267, 789, 1185, 1187, 3695, 2257, 1247, 5986, 543, 7691, 602, 5821, 568, 849, 851, 540, 519, 3621, 6602, 1184, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 29205, 596, 2285, 1806, 540, 2757, 3943, 1426, 8286, 602, 616, 4122, 10057, 1282, 2686, 16873, 888, 272, 269, 3213, 336, 14193, 15550, 910, 513, 5929, 3943, 8670, 1500, 609, 9269, 11273, 538, 2699, 9174, 609, 17228, 267, 19637, 267, 11922, 267, 543, 28019, 454, 273, 269, 2142, 1030, 25816, 7666, 793, 517, 910, 513, 2295, 344, 12403, 1500, 609, 14132, 11273, 538, 2699, 9174, 609, 5388, 971, 607, 17436, 267, 19637, 267, 543, 12277, 454, 274, 269, 13158, 520, 537, 4068, 910, 513, 20757, 8670, 1500, 609, 5388, 971, 607, 4212, 8690, 267, 1990, 1075, 577, 7236, 267, 18717, 267, 19637, 267, 543, 14274, 267, 3335, 6039, 607, 513, 2427, 8670, 454, 275, 269, 2372, 7865, 31240, 9627, 910, 513, 29902, 2250, 787, 12933, 4904, 609, 5798, 267, 8645, 267, 10381, 267, 543, 28019, 610, 8423, 267, 3335, 6039, 607, 513, 14254, 610, 1490, 4875, 8670, 454, 276, 269, 9197, 11726, 1889, 1490, 383, 375, 331, 19902, 910, 513, 18397, 1500, 609, 29877, 8169, 731, 547, 5529, 609, 513, 4494, 540, 1286, 14712, 1242, 4006, 454, 277, 269, 25376, 650, 629, 9820, 572, 910, 513, 3165, 17339, 689, 519, 9381, 3148, 540, 3038, 775, 267, 1500, 609, 3165, 267, 32729, 267, 5388, 267, 543, 11922, 454, 278, 269, 18521, 1173, 1824, 632, 25816, 326, 690, 928, 910, 25658, 11273, 538, 13342, 7423, 543, 16163, 2917, 267, 3335, 6039, 607, 606, 12608, 6500, 538, 8303, 1014, 16654, 21567, 7685, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 3848, 476, 277, 281, 1133, 30584, 532, 3776, 1323, 6827, 832, 262, 17714, 910, 634, 13491, 540, 5274, 5590, 1479, 906, 692, 1103 ]

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

[ 6995, 692, 1892, 4569, 4274, 585, 1169, 1641, 454, 1892, 9796, 1152, 952, 649, 666, 4194, 621, 692, 29155, 15925, 853, 1046, 454, 15612, 566, 912, 7712, 267, 7077, 540, 4399, 9507, 346, 16123, 367, 2410, 288, 23685, 18905, 25452, 289, 23685, 18905, 25452, 290, 23685, 18905, 476, 4151, 568, 2147, 547, 519, 7077, 540, 4399, 9507, 346, 16123, 367, 348, 27398, 14204, 7712, 267, 13235, 291, 568, 513, 25521, 563, 7445, 9507, 3189, 4120, 7684, 309, 7807, 9507, 3189, 4120, 7684, 309, 315, 11004, 1150, 259, 263, 13349, 994, 7445, 9507, 3189, 4120, 7684, 309, 5723, 7807, 9507, 3189, 4120, 7684, 309, 31505, 23685, 18905, 25452, 289, 23685, 18905, 476, 4153, 11004, 1150, 259, 263, 17357, 22046, 532, 5086, 538, 1079, 2147, 7077, 994, 11997, 676, 21191, 16726, 267, 4399, 9507, 346, 16123, 367, 348, 309, 5723, 315, 13678, 1422, 9507, 346, 16123, 367, 348, 309, 31505, 23685, 18905, 25452, 289, 23685, 18905, 476, 21456, 305, 26559, 540, 7222, 5011, 538, 1079, 2147, 12730, 568, 3160, 563, 7445, 2765, 346, 22849, 2410, 309, 31505, 23685, 18905, 31998, 7807, 2765, 346, 31357, 2410, 309, 346, 290, 23685, 18905, 31998, 14204, 7445, 2765, 346, 309, 31505, 23685, 18905, 7684, 266, 3189, 9507, 3189, 1721, 718, 31998, 17353, 18905, 7684, 2410, 309, 31505, 23685, 18905, 31998, 7807, 2765, 346, 309, 289, 2410, 309, 346, 289, 23685, 18905, 31998, 14204, 7445, 2765, 346, 1428, 266, 736, 2410, 1428, 18098, 2765, 346, 5392, 2410, 309, 346, 289, 23685, 18905, 31998, 14204, 259, 309, 346, 289, 23685, 18905, 7684, 7807, 2765, 346, 1428, 9943, 5392, 2410, 3374, 21456, 309, 289, 262, 284, 2641, 454, 309, 289, 284, 17668, 262, 266, 309, 289, 7055, 5392, 284, 17668, 266, 2641, 454, 17668, 262, 284, 2764, 454, 30607, 3502, 4010, 1018, 596, 2461, 3168, 585, 2496, 1892, 5999, 616, 3335, 12943, 538, 607, 3728, 607, 476, 1789, 3764, 692, 24169, 707, 1966, 585, 519, 3902, 540, 835, 6995, 0, 1012, 9894, 519, 16380, 723, 513, 1297, 585, 4642, 2496, 763, 3504, 16380, 1185, 1100, 3090, 585, 4642, 630, 19031, 24341, 29857, 394, 511, 14832, 1070, 543, 1705, 711, 946, 513, 7857, 1747, 14516, 585, 621, 780, 1012, 1548, 568, 519, 4936, 1003, 1968, 3090, 476, 271, 2496, 763, 1297, 4642, 1281, 711, 723, 922, 1378, 4936, 1003, 1968, 267, 855, 519, 2262, 14275, 320, 630, 1492, 5824, 2262, 2495, 968, 333, 821, 14615, 729, 1031, 676, 10120, 5640, 538, 9114, 340, 540, 476, 271, 269, 667, 542, 903, 3780, 1401, 580, 340, 639, 729, 1634, 547, 946, 14275, 320, 7258, 4936, 27766, 538, 476, 30589, 780, 1012, 9894, 519, 16380, 917, 827, 4642, 2496, 15578, 3504, 16380, 941, 3222, 540, 519, 1523, 540, 4642, 630, 553, 538, 2048, 2171, 723, 1100, 27371, 685, 1070, 855, 4769, 1406, 1589, 540, 621, 607, 513, 1297, 269, 17127, 1185, 25323, 621, 1317, 596, 7948, 1406, 7941, 676, 4642, 543, 1205, 513, 1524, 3562, 268, 24160, 1267, 780, 9802, 753, 692, 32188, 681, 692, 1012, 1548, 616, 519, 476, 273, 2010, 540, 1483, 2338, 2496, 17843, 2010, 540, 1483, 2338, 692, 1892, 7849, 2338, 281, 1452, 616, 1483, 2338, 602, 723, 1100, 8918, 543, 616, 8273, 982, 4642, 563, 1892, 19940, 2338, 281, 1452, 616, 2318, 1483, 2338, 602, 723, 1100, 17447, 267, 543, 849, 4642, 563, 1892, 6715, 619, 281, 1452, 616, 1483, 2338, 602, 723, 1100, 17447, 780, 1012, 6904, 616, 519, 1483, 2338, 2496, 18600, 2338, 616, 519, 2338, 799, 1331, 1312, 7787, 543, 19450, 2338, 269, 21929, 2338, 971, 607, 9981, 11196, 273, 267, 476, 271, 267, 476, 272, 1070, 8454, 263, 272, 270, 273, 267, 476, 273, 269, 276, 264, 543, 19450, 2338, 971, 607, 20734, 274, 267, 12631, 263, 2420, 270, 278, 1070, 3092, 1421, 616, 782, 1483, 2338, 780, 1012, 1548, 616, 1806, 540, 711, 1483, 2338, 2496, 3412, 698, 2435, 2338, 616, 2338, 602, 3112, 581, 3067, 1881, 267, 899, 519, 4009, 3597, 540, 910, 272, 269, 634, 1297, 267, 20922, 607, 1775, 267, 666, 581, 1031, 585, 4834, 543, 12596, 267, 855, 568, 711, 513, 1483, 1297, 602, 666, 581, 1031, 538, 2596, 12980, 269, 1411, 3112, 1039, 610, 1641, 16494, 2338, 269, 6271, 1383, 540, 606, 16494, 1297, 568, 20581, 780, 1012, 1548, 568, 519, 3017, 1063, 2067, 543, 1483, 2338, 2496, 2567, 634, 10203, 2338, 2715, 272, 267, 476, 273, 267, 476, 274, 269, 348, 616, 4122, 1572, 2067, 2338, 282, 2705, 267, 824, 8847, 1331, 476, 271, 267, 865, 602, 519, 1875, 24308, 9981, 2715, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 269, 348, 616, 849, 1572, 2067, 2338, 269, 2353, 7787, 2338, 616, 1483, 267, 855, 519, 598, 2091, 568, 711, 3020, 269, 7054, 16884, 2338, 281, 7464, 2338, 602, 616, 711, 7787, 780, 1012, 1772, 519, 1297, 476, 272, 513, 1483, 1297, 2496, 763, 1826, 540, 1297, 649, 7363, 946, 267, 971, 607, 476, 272, 267, 476, 1428, 269, 11025, 267, 6567, 271, 269, 272, 267, 476, 274, 270, 275, 267, 3092, 269, 15474, 610, 2942, 267, 1804, 610, 1507, 267, 2898, 2338, 610, 8918, 2338, 616, 782, 7464, 10606, 269, 1358, 616, 1572, 968, 18600, 10606, 892, 1317, 789, 616, 711, 22569, 2435, 10606, 780, 1012, 6904, 568, 6574, 1297, 2496, 2414, 1205, 519, 6574, 1297, 267, 519, 6574, 7857, 476, 280, 568, 5116, 693, 519, 5207, 12595, 1747, 267, 1775, 4318, 1421, 5215, 268, 2897, 267, 1985, 4130, 7857, 476, 277, 693, 7366, 268, 2897, 267, 1869, 4130, 7857, 476, 276, 693, 4557, 779, 1747, 543, 519, 10545, 7857, 476, 273, 693, 835, 779, 610, 4559, 1747, 269, 4935, 267, 519, 6574, 1297, 568, 476, 280, 4792, 273, 780, 32188, 3331, 502, 692, 1012, 1548, 1826, 540, 1297, 568, 594, 2496, 3412, 698, 2435, 10606, 1879, 649, 4009, 606, 16494, 1297, 267, 621, 3947, 513, 2942, 1267, 267, 799, 1797, 621, 568, 513, 4009, 3597, 540, 513, 2942, 1297, 267, 585, 1383, 267, 20734, 268, 273, 543, 20734, 268, 276, 269, 1879, 649, 4009, 891, 2338, 267, 519, 2164, 616, 910, 273, 543, 910, 276, 269, 634, 4009, 3597, 540, 2942, 835, 568, 6719, 676, 519, 4484, 1775, 267, 1775, 4318, 780, 1012, 1772, 476, 280, 513, 2898, 1297, 2496, 763, 2898, 2338, 616, 519, 2338, 1510, 8454, 543, 621, 568, 513, 4015, 540, 2318, 9981, 543, 4642, 269, 910, 280, 267, 910, 279, 267, 910, 278, 267, 910, 277, 267, 910, 276, 267, 910, 275, 267, 910, 274, 267, 910, 273, 267, 910, 272, 267, 476, 271, 267, 476, 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, 2507, 348, 25478, 10606, 281, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 16634, 10926, 1012, 1548, 1826, 540, 1297, 568, 476, 1839, 476, 278, 5325, 2496, 763, 1297, 476, 1839, 267, 278, 5325, 568, 513, 2898, 267, 7787, 267, 2318, 267, 8870, 267, 543, 849, 513, 2067, 1297, 780, 1012, 1772, 476, 275, 513, 2067, 1297, 2496, 20332, 2338, 616, 782, 2338, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 2507, 1358, 616, 519, 2338, 596, 2356, 1293, 543, 789, 786, 3136, 593, 883, 20581, 269, 19940, 2338, 616, 782, 2067, 2338, 1519, 476, 271, 552, 3052, 269, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 2507, 692, 1012, 1772, 6824, 513, 2067, 1297, 2496, 20332, 10606, 630, 301, 1070, 630, 10193, 1572, 2318, 9981, 267, 10203, 2338, 267, 610, 2067, 2338, 5148, 1358, 616, 519, 2338, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 2560, 348, 901, 2882, 782, 2338, 602, 666, 581, 2854, 607, 513, 8918, 269, 901, 2882, 8454, 2854, 538, 8918, 1106, 552, 3052, 1421, 476, 271, 269, 276, 267, 476, 271, 269, 4037, 476, 273, 269, 3374, 267, 2340, 479, 375, 271, 269, 5881, 274, 267, 476, 271, 269, 18357, 274, 267, 610, 476, 273, 269, 16318, 5952, 278, 780, 1012, 1548, 1305, 540, 2338, 1281, 476, 274, 270, 276, 4866, 547, 2496, 18204, 619, 616, 2898, 2338, 269, 476, 3374, 568, 513, 7787, 1297, 1317, 621, 4564, 513, 5223, 540, 1079, 9981, 630, 663, 14009, 9881, 510, 271, 3738, 780, 1012, 1548, 1797, 2067, 1297, 2496, 20332, 2338, 616, 2338, 602, 649, 946, 547, 1293, 269, 1358, 616, 2898, 267, 1875, 24308, 2338, 269, 1284, 1419, 1294, 873, 6719, 593, 513, 1297, 1899, 269, 7849, 2338, 267, 4061, 267, 666, 3136, 547, 20581, 269, 589, 1305, 540, 2067, 2338, 568, 3335, 20922, 676, 519, 3090, 21508, 499, 780, 271, 692, 1012, 1548, 568, 519, 10545, 2067, 1297, 2496, 3080, 568, 519, 10545, 2067, 1297, 780, 1012, 1548, 568, 2067, 1297, 543, 2898, 1297, 2496, 20332, 2338, 616, 2596, 10203, 2338, 971, 607, 630, 272, 267, 273, 267, 274, 267, 2507, 715, 1040, 19940, 2338, 616, 519, 1305, 540, 2067, 2338, 609, 4642, 630, 271, 267, 272, 267, 273, 267, 274, 2507, 2353, 519, 1875, 25179, 9981, 616, 1572, 2067, 2338, 269, 2353, 1875, 24308, 9981, 616, 1572, 2898, 2338, 269, 0, 1892, 14358, 2433, 476, 2412, 330, 32504, 1892, 3752, 7348, 539, 2433, 476, 1015, 330, 266, 692, 258, 9650, 1855, 553, 619, 2433, 570, 4459, 13174, 681, 1497, 692, 11795, 22187, 15019, 640, 692, 1432, 568, 519, 1871, 540, 476, 272, 270, 273, 540, 476, 273, 270, 274, 540, 476, 274, 270, 275, 540, 476, 275, 270, 276, 540, 476, 276, 270, 277, 540, 476, 277, 270, 278, 540, 476, 278, 270, 279, 540, 476, 279, 270, 280, 540, 476, 280, 270, 1015, 540, 476, 1911, 271, 2496, 30206, 454, 22296, 2248, 687, 454, 1892, 14358, 2433, 476, 3199, 330, 32504, 1892, 3752, 7348, 539, 2433, 476, 736, 330, 266, 692, 258, 9650, 1855, 553, 619, 2433, 8298, 673, 12653, 1457, 10658, 14794, 692, 11795, 22187, 15019, 640, 692, 19177, 3214, 2348, 2947, 7725, 1142, 941, 4730, 513, 3014, 538, 799, 789, 991, 547, 12235, 519, 4224, 693, 4396, 1858, 538, 519, 1216, 780, 298, 573, 272, 281, 590, 1075, 3865, 539, 538, 18530, 1614, 7725, 693, 4396, 1858, 855, 835, 540, 519, 4224, 3141, 330, 780, 298, 573, 274, 281, 3571, 2832, 729, 865, 3983, 602, 782, 7725, 3893, 3141, 330, 780, 298, 573, 275, 281, 1261, 729, 15813, 543, 9039, 540, 519, 7725, 3893, 3141, 330, 780, 298, 573, 273, 729, 519, 16771, 855, 729, 13351, 676, 513, 4224, 538, 519, 2212, 543, 5747, 780, 8005, 7166, 17718, 273, 26042, 1892, 14358, 2433, 476, 2412, 330, 32504, 1892, 3752, 7348, 539, 2433, 476, 1015, 330, 266, 692, 258, 9650, 1855, 553, 619, 2433, 27607, 3213, 1231, 16514, 10658, 14794, 692, 11795, 22187, 15019, 640, 692, 301, 710, 11113, 616, 11231, 538, 513, 6906, 607, 3254, 538, 519, 4605, 2630, 269, 1411, 991, 547, 13472, 1079, 12730, 547, 1106, 513, 4009, 269, 2052, 596, 798, 621, 2496, 1892, 14358, 2433, 476, 3199, 330, 32504, 1892, 3752, 7348, 539, 2433, 476, 736, 330, 266, 692, 258, 9650, 1855, 553, 619, 2433, 27084, 8354, 19877, 589, 696, 3363, 9046, 692, 11795, 22187, 15019, 640, 692, 4002, 513, 9589, 10784, 21526, 2244, 540, 575, 30298, 26072, 2073, 782, 519, 3662, 616, 7787, 263, 9418, 5100, 6393, 2467, 616, 3670, 682, 641, 1841, 543, 835, 13265, 563, 8867, 16985, 666, 3548, 13265, 855, 2094, 607, 519, 2244, 568, 9589, 267, 519, 682, 641, 1841, 945, 22655, 519, 13265, 2073, 7140, 883, 13265, 543, 1287, 666, 581, 13881, 676, 519, 6967, 682, 16985, 4433, 6393, 2252, 649, 4734, 873, 585, 930, 942, 1287, 875, 1082, 13265, 543, 682, 16985, 786, 581, 972, 2073, 950, 649, 2097, 1394, 26042, 1892, 14358, 2433, 476, 2004, 330, 32504, 1892, 3752, 7348, 539, 2433, 476, 736, 330, 266, 692, 258, 9650, 1855, 553, 619, 2433, 476, 275, 1341, 476, 280, 11203, 476, 1724, 692, 11795, 22187, 15019, 640, 692, 2252, 519, 1739, 568, 3020, 267, 666, 596, 1265, 519, 1871, 540, 630, 275, 1341, 476, 280, 264, 2496, 278, 1341, 476, 278, 815, 476, 273, 454, 279, 1341, 476, 279, 815, 476, 275, 454, 279, 1341, 476, 276, 815, 476, 272, 454, 277, 1341, 476, 280, 815, 476, 274, 454, 1015, 1341, 476, 1556, 815, 476, 280, 692, 1892, 14358, 2433, 476, 3199, 330, 32504, 1892 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1634, 547, 723, 23599, 610, 7067, 3601, 269, 2368, 5023, 342, 10449, 798, 723, 1898, 11041, 3773, 547, 741, 5820, 269, 1717, 267, 596, 666, 1118, 707, 1378, 676, 4946, 12772, 540, 1898, 11041, 547, 519, 1216, 563, 29973, 11041, 2270, 519, 968, 612, 775, 540, 892, 519, 2030, 779, 32709, 30147, 568, 8984, 540, 519, 2030, 689, 799, 621, 568, 6508, 269, 4256, 3601, 1331, 15934, 267, 21734, 267, 543, 4550, 13611, 3527, 269, 1452, 7067, 11041, 616, 6385, 3395, 538, 8560, 1317, 789, 957, 607, 2067, 4915, 1510, 1022, 2427, 2360, 563, 23744, 267, 891, 5023, 342, 10449, 616, 2808, 607, 2922, 607, 789, 616, 2067, 2472, 269, 2368, 1898, 11041, 723, 1044, 1336, 547, 723, 1880, 27611, 3601, 602, 949, 1118, 873, 3730, 607, 513, 5023, 31683, 269, 1452, 1331, 912, 268, 3212, 653, 1069, 842, 3282, 454, 268, 4325, 1301, 842, 3282, 454, 268, 1849, 913, 3282, 454, 268, 661, 32023, 3282, 454, 29973, 11041, 5023, 31683, 949, 581, 513, 1434, 7362, 23906, 1156, 518, 269, 1411, 12582, 1406, 9003, 7048, 593, 1898, 3282, 5023, 31683, 6619, 540, 5711, 9882, 2259, 267, 1498, 563, 306, 5306, 4826, 631, 1926, 31683, 454, 306, 5306, 1216, 568, 606, 13666, 4577, 3070, 267, 799, 1797, 621, 3568, 519, 1482, 20919, 543, 6886, 607, 938, 1560, 12862, 543, 4465, 1406, 8886, 622, 707, 14779, 563, 306, 5306, 1216, 568, 4122, 1031, 543, 5227, 1310, 5959, 10868, 269, 634, 4550, 1532, 17424, 3601, 3100, 547, 6175, 5959, 5563, 543, 10733, 6553, 267, 607, 1134, 607, 513, 3819, 23094, 269, 24953, 6070, 1216, 568, 1634, 547, 948, 609, 15319, 31462, 1846, 543, 9748, 2812, 269, 898, 849, 666, 13468, 5023, 21399, 610, 21385, 563, 2026, 621, 814, 513, 1970, 9063, 267, 6070, 1216, 949, 948, 547, 1521, 3983, 7362, 269, 29318, 602, 2014, 3983, 7362, 2154, 513, 1164, 9063, 538, 519, 5023, 538, 1931, 547, 8853, 269, 1411, 666, 1118, 513, 7848, 693, 1753, 676, 4946, 476, 16006, 513, 23188, 540, 6070, 547, 513, 7484, 540, 3636, 1216, 269, 1411, 666, 798, 713, 1079, 547, 1614, 2053, 543, 10956, 909, 547, 2185, 2053, 513, 1554, 269, 17865, 1216, 568, 513, 1434, 18789, 4781, 585, 5329, 707, 5023, 4743, 4195, 543, 2973, 563, 8448, 19047, 1879, 4635, 631, 1926, 31683, 454, 8448, 23123, 281, 4107, 5023, 342, 10449, 2270, 824, 6464, 602, 948, 547, 2333, 15808, 1272, 610, 2285, 621, 513, 14909, 2681, 269, 1411, 1058, 1224, 519, 6003, 5402, 547, 1118, 2386, 596, 917, 782, 540, 519, 5820, 538, 519, 1826, 596, 616, 1210, 269, 1403, 596, 723, 606, 8801, 5114, 621, 1223, 581, 1813, 547, 835, 540, 891, 6878, 563, 19547, 1120, 757, 281, 4826, 30320, 26349, 8665, 10905, 609, 23606, 543, 13897, 547, 1118, 873, 811, 19729, 269, 898, 779, 7150, 602, 789, 3138, 4923, 21225, 602, 814, 19017, 593, 4522, 282, 2705, 267, 713, 3409, 3884, 1406, 8185, 6462, 269, 5871, 28052, 757, 616, 7396, 593, 10297, 607, 9770, 1649, 15605, 622, 543, 9770, 3288, 1722, 331, 23253, 269, 1703, 616, 4145, 827, 519, 3106, 540, 10438, 891, 6464, 543, 930, 1004, 798, 1867, 8801, 6547, 563, 14503, 822, 832, 281, 14464, 7657, 1681, 786, 2285, 519, 5023, 31683, 621, 779, 2681, 543, 6492, 269, 1358, 1810, 1406, 3565, 547, 922, 2962, 610, 7145, 543, 949, 723, 8801, 6547, 563, 15430, 969, 2510, 281, 1452, 2061, 519, 2208, 540, 4551, 538, 519, 5023, 31683, 269, 5871, 29089, 2510, 616, 9770, 1649, 15605, 622, 610, 18861, 1706, 629, 523, 269, 1358, 1810, 1406, 3565, 547, 519, 2962, 540, 519, 5023, 31683, 563, 12850, 281, 4826, 568, 1031, 547, 23271, 543, 4163, 519, 824, 5820, 563, 2710, 11588, 4934, 933, 662, 519, 8779, 888, 2252, 596, 616, 17678, 543, 29781, 5781, 547, 2226, 707, 5959, 1072, 267, 3544, 540, 8156, 5739, 2068, 519, 2640, 540, 5023, 31683, 1810, 1406, 3100, 547, 581, 3226, 5363, 269, 4658, 945, 946, 5023, 31683, 585, 3983, 7362, 267, 538, 1880, 267, 1810, 1406, 1294, 1454, 4324, 538, 741, 2783, 269, 1358, 849, 949, 581, 29083, 741, 3983, 7362, 269, 10251, 267, 585, 519, 1034, 851, 267, 5023, 342, 10449, 1810, 1406, 2661, 909, 547, 519, 6994, 2213, 1728, 701, 563, 2691, 1031, 538, 14966, 609, 513, 2126, 1544, 609, 707, 11290, 267, 930, 949, 581, 2500, 267, 6382, 267, 6529, 547, 513, 1434, 2732, 267, 11453, 707, 4522, 267, 543, 19568, 547, 1832, 707, 4522, 2635, 269, 0, 2791, 1810, 1405, 2161, 799, 6464, 596, 616, 5461, 538, 2336, 288, 5616, 3406, 1210, 1412, 28090, 7998, 262, 607, 707, 3406, 2165, 786, 6556, 1082, 1357, 4609, 799, 2270, 513, 2603, 540, 1344, 827, 3339, 2634, 6464, 1572, 30088, 267, 543, 875, 20817, 538, 873, 666, 2014, 4965, 610, 812, 807, 610, 17299, 2589, 563, 2026, 2484, 607, 594, 723, 1044, 2111, 547, 3605, 972, 616, 1100, 2553, 547, 3313, 5666, 540, 1142, 540, 519, 30088, 513, 1268, 949, 723, 693, 1022, 942, 563, 305, 1430, 267, 621, 568, 676, 519, 946, 540, 930, 2241, 2055, 602, 513, 8990, 540, 519, 2949, 1533, 540, 513, 7606, 2790, 1072, 568, 1336, 269, 31999, 31520, 610, 824, 24004, 3740, 5574, 616, 1287, 1031, 538, 606, 3801, 547, 3142, 519, 30088, 1394, 883, 3666, 630, 3369, 7241, 814, 3361, 519, 19261, 1040, 0, 7712, 11543, 7115, 689, 519, 8168, 5742, 538, 476, 1960, 272, 267, 12907, 814, 5185, 1082, 13542, 269, 1306, 540, 2038, 476, 1001, 275, 267, 12907, 814, 1044, 538, 5176, 31934, 4655, 609, 6576, 543, 8109, 12907, 779, 605, 7304, 11701, 3021, 520, 1235, 269, 12907, 568, 849, 1753, 547, 3592, 476, 3393, 2929, 1004, 269, 769, 5147, 476, 1001, 279, 267, 936, 476, 272, 269, 276, 2929, 1004, 941, 24323, 19774, 267, 2495, 602, 789, 1185, 547, 4734, 741, 5321, 607, 513, 1267, 540, 519, 8165, 269, 10076, 1072, 538, 12907, 568, 4299, 676, 519, 11972, 1193, 1057, 538, 741, 2197, 563, 296, 1087, 1132, 8177, 532, 10076, 2657, 538, 12907, 454, 6624, 540, 1346, 2713, 538, 12907, 4308, 609, 2042, 899, 4160, 543, 4965, 267, 602, 11874, 3310, 741, 2790, 1072, 269, 1452, 2175, 616, 28978, 676, 24187, 269, 22893, 540, 12907, 723, 18808, 609, 519, 4539, 543, 14697, 8017, 540, 2112, 267, 1519, 25096, 540, 2828, 543, 1920, 2818, 269, 2368, 723, 1185, 547, 4734, 3297, 519, 4025, 789, 1289, 1753, 563, 1103, 1840, 267, 2168, 6937, 616, 849, 1419, 606, 3390, 269, 8409, 2713, 538, 2112, 10851, 610, 1256, 9864, 24044, 1922, 790, 10851, 267, 971, 607, 519, 1899, 540, 3346, 998, 5213, 1115, 330, 543, 700, 7795, 13089, 267, 616, 538, 3586, 8594, 269, 681, 5699, 476, 274, 267, 4968, 21127, 941, 7166, 689, 476, 1001, 275, 547, 476, 1001, 279, 563, 26045, 1072, 1416, 568, 849, 9184, 5622, 538, 12907, 269, 4438, 519, 8168, 5736, 267, 2790, 1072, 2152, 941, 1031, 607, 606, 28195, 547, 18035, 538, 607, 2643, 4548, 1346, 609, 18312, 2797, 4978, 689, 1346, 538, 1379, 269, 634, 29298, 540, 713, 21440, 6414, 2221, 267, 609, 1082, 26617, 540, 2618, 17226, 563, 1607, 9184, 5622, 7707, 839, 519, 2360, 540, 4160, 543, 4965, 269, 2290, 5619, 540, 476, 272, 267, 1822, 24323, 19774, 2043, 1336, 602, 476, 736, 2600, 540, 1346, 24323, 19774, 7985, 689, 26815, 4049, 547, 4049, 4160, 269, 4746, 267, 476, 1839, 2600, 11124, 689, 26815, 4049, 547, 4049, 4965, 269, 1452, 2338, 616, 3648, 2362, 982, 519, 6871, 540, 1004, 7092, 689, 4160, 610, 4965, 538, 519, 2136, 8003, 563, 763, 16663, 4478, 2790, 1072, 1033, 619, 930, 689, 21350, 6005, 741, 9620, 269, 634, 2339, 568, 2417, 7294, 607, 1004, 945, 4782, 547, 3717, 609, 5783, 3401, 616, 1631, 8572, 547, 798, 865, 1317, 1082, 3401, 723, 849, 19679, 856, 540, 13766, 269, 8409, 2713, 538, 3021, 520, 626, 11182, 616, 17792, 1569, 547, 513, 5626, 948, 3905, 1467, 269, 4746, 267, 909, 547, 476, 6507, 2600, 540, 519, 24323, 19774, 616, 4625, 27226, 540, 1022, 543, 782, 3029, 540, 3318, 948, 563, 16391, 3074, 11554, 547, 13724, 10076, 2657, 538, 12907, 454, 7419, 32019, 814, 513, 5985, 23793, 1982, 602, 6663, 547, 1683, 26447, 1489, 547, 519, 1004, 540, 12907, 269, 1452, 1367, 543, 1895, 2238, 616, 2966, 547, 1445, 593, 17212, 1324, 4160, 543, 4250, 267, 2152, 602, 616, 10731, 538, 519, 24360, 2127, 269, 6167, 32019, 779, 3646, 616, 2282, 519, 1899, 540, 3346, 543, 1683, 948, 585, 1453, 543, 741, 15637, 282, 476, 272, 267, 8064, 273, 1004, 941, 5280, 676, 891, 3646, 1282, 5130, 476, 1001, 280, 563, 9827, 267, 6167, 32019, 3964, 519, 27069, 3905, 1467, 585, 1312, 3656, 543, 5626, 8323, 269, 769, 476, 1001, 278, 267, 936, 476, 6246, 267, 1822, 7125, 941, 1500, 547, 519, 3905, 1467, 269, 901, 17752, 585, 948, 2488, 1454, 32571, 1489, 547, 1346, 538, 991, 563, 763, 14959, 267, 538, 9316, 609, 21977, 1072, 8128, 267, 849, 2813, 513, 5985, 2790, 1072, 4099, 547, 1683, 5626, 2533, 267, 1489, 543, 2069, 269, 634, 1982, 568, 2146, 2861, 269, 9122, 593, 519, 1967, 540, 519, 2185, 5985, 4559, 2066, 519, 4655, 2127, 267, 713, 1062, 949, 581, 8045, 593, 513, 3677, 4336, 607, 513, 2268, 547, 6963, 2790, 1072, 1416, 538, 12907, 563, 297, 25296, 22846, 2160, 267, 2059, 609, 7330, 2839, 267, 5063, 6192, 513, 1788, 602, 3323, 538, 4728, 476, 1001, 276, 538, 12907, 269, 634, 1374, 8179, 547, 2087, 519, 2790, 1072, 540, 2146, 2818, 543, 1382, 519, 2360, 602, 4655, 814, 1185, 593, 519, 2551, 563, 4415, 519, 948, 540, 891, 3906, 543, 811, 267, 23248, 267, 519, 2360, 540, 519, 21977, 6560, 593, 2790, 1072, 666, 581, 10970, 7007, 269, 634, 3292, 616, 2324, 547, 1265, 960, 762, 3435, 547, 2790, 1072, 588, 580, 5733, 543, 547, 1683, 8323, 585, 1346, 6849, 2152, 609, 2790, 1072, 538, 12907, 563, 1700, 8349, 2106, 5240, 727, 0, 1692, 666, 649, 946, 2029, 547, 1332, 938, 1378, 1426, 888, 763, 4028, 2208, 540, 4683, 5095, 5932, 2591, 585, 1426, 2504, 269, 2290, 3070, 602, 568, 5732, 811, 4264, 982, 1699, 2409, 568, 22297, 2504, 267, 538, 1880, 267, 1426, 2504, 676, 2043, 693, 1753, 269, 19663, 1426, 693, 1753, 568, 2009, 267, 855, 621, 568, 513, 1184, 602, 3340, 8404, 267, 1702, 543, 1983, 269, 634, 2319, 786, 960, 593, 519, 1374, 540, 513, 9300, 3760, 6322, 693, 4543, 2043, 538, 4683, 5054, 1332, 1426, 693, 1753, 676, 26655, 873, 827, 519, 2115, 540, 741, 2371, 543, 267, 1759, 593, 4683, 8105, 2853, 267, 676, 8220, 873, 609, 513, 3060, 540, 25210, 547, 2671, 1702, 543, 3132, 563, 1607, 1788, 6212, 593, 519, 12655, 4886, 17644, 281, 0, 19865, 607, 621, 12211, 547, 8376, 14727, 1484, 3296, 531, 543, 19976, 2090, 593, 519, 1198, 540, 1216, 3635, 538, 9013, 5642, 2530, 538, 5545, 2022, 5443, 641, 30167, 2021, 454, 1607, 22816, 756, 23697, 2985, 568, 606, 2079, 540, 519, 4760, 2376, 834, 15899, 3296, 531, 543, 19976, 2090, 593, 519, 1198, 540, 1216, 3635, 538, 9013, 5642, 2530, 538, 5545, 2022, 5443, 641, 30167, 2021, 257, 676, 17578, 4157, 1695, 4673, 1696, 620, 269, 630, 1960, 275, 264, 3097, 268, 476, 272, 4985, 454, 268, 476, 273, 7316, 568, 713, 1382, 689, 888, 268, 476, 274, 1548, 2186, 540, 1382, 729, 713, 888, 268, 476, 275, 3194, 10613, 454, 268, 476, 276, 11778, 543, 4681, 689, 519, 1353, 454, 268, 476, 277, 1548, 8753, 666, 649, 1491, 689, 713, 1382, 888, 268, 476, 278, 20480, 543, 2417, 10372, 454, 268, 476, 279, 4329, 1344, 543, 2200, 454, 268, 476, 280, 22108, 454, 302, 4614, 18576, 568, 513, 2068, 27537, 676, 513, 6175, 538, 5642, 7777, 5860, 543, 4222, 267, 1818, 873, 28221, 267, 17866, 267, 543, 811, 11630, 547, 9397, 543, 18655, 269, 634, 2530, 540, 5642, 5160, 568, 513, 1267, 540, 17441, 2242, 267, 610, 10638, 540, 6886, 971, 607, 7513, 543, 6171, 667, 269, 24942, 5860, 568, 6766, 676, 2789, 2188, 971, 607, 19021, 640, 267, 522, 652, 4088, 2157, 267, 2168, 2534, 267, 6484, 267, 543, 1272, 2511, 269, 769, 2489, 267, 2021, 616, 693, 2362, 1981, 982, 2367, 267, 1880, 1346, 540, 2022, 5443, 641, 30167, 2085, 269, 901, 1353, 593, 5545, 2022, 5443, 641, 30167, 2021, 12116, 519, 1198, 540, 1216, 3635, 593, 5642, 7777, 5860, 267, 543, 2436, 606, 3635, 1982, 10607, 519, 4656, 540, 1072, 543, 3232 ]

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

[ 16731, 741, 3896, 585, 811, 593, 741, 17008, 267, 1519, 3818, 12656, 559, 543, 30339, 6142, 269, 2107, 1289, 630, 29710, 264, 476, 23417, 268, 29483, 275, 585, 513, 7693, 6142, 10839, 2221, 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 ]

[ 0, 258, 1548, 568, 1592, 888, 258, 1215, 547, 1711, 621, 888, 258, 1215, 547, 1689, 1871, 540, 2609, 3330, 513, 1592, 888, 258, 1215, 547, 1820, 2418, 888, 258, 1215, 547, 1820, 782, 2418, 693, 2899, 888, 258, 4208, 798, 649, 991, 8638, 693, 782, 286, 6902, 9239, 12849, 815, 22373, 6635, 330, 611, 3780, 345, 2580, 834, 11990, 2580, 834, 290, 5055, 790, 2580, 834, 30681, 2580, 834, 297, 659, 984, 19312, 1948, 276, 1714, 454, 1363, 1948, 476, 271, 17264, 476, 272, 11434, 476, 273, 1038, 476, 274, 1363, 476, 275, 454, 11133, 1499, 815, 1496, 272, 267, 476, 275, 267, 476, 7906, 267, 476, 5655, 267, 910, 276, 267, 476, 736, 316, 1948, 277, 1714, 454, 1038, 1948, 476, 476, 271, 476, 476, 272, 476, 476, 273, 825, 476, 274, 567, 476, 275, 567, 476, 276, 692, 11133, 1499, 314, 276, 316, 815, 476, 1789, 692, 1721, 2012, 538, 4408, 912, 825, 1820, 28442, 994, 0, 12163, 567, 25754, 910, 20822, 3252, 630, 325, 17313, 1510, 4408, 994, 825, 454, 12163, 3698, 9062, 3287, 2187, 825, 2132, 1535, 2608, 476, 273, 7531, 3698, 1599, 15461, 6958, 559, 614, 3287, 2187, 825, 952, 630, 343, 4939, 476, 273, 264, 2652, 476, 271, 912, 1038, 2132, 1535, 692, 2745, 9230, 14433, 1535, 281, 1535, 2608, 476, 273, 7565, 275, 264, 9239, 3240, 8217, 815, 1496, 273, 267, 476, 2190, 267, 476, 2641, 267, 476, 278, 267, 476, 736, 6540, 2745, 17338, 6600, 559, 614, 10857, 10033, 1535, 281, 1535, 4939, 476, 273, 2652, 476, 271, 267, 1250, 8217, 21875, 2745, 17338, 9852, 777, 10857, 10033, 1535, 281, 1535, 2608, 476, 273, 267, 1250, 8217, 4297, 2020, 3240, 8217, 6958, 2830, 1229, 815, 1496, 343, 585, 1535, 538, 1250, 8217, 952, 630, 343, 4939, 476, 273, 264, 2652, 476, 271, 2639, 0, 5814, 5515, 692, 577, 5366, 815, 3403, 2891, 3269, 1432, 4137, 1858, 596, 1616, 547, 2268, 888, 272, 269, 12384, 454, 273, 269, 25351, 4120, 454, 274, 269, 17781, 454, 275, 269, 21121, 454, 276, 269, 3004, 701, 2763, 454, 3269, 15419, 604, 630, 577, 5366, 2652, 1412, 272, 262, 2187, 825, 513, 815, 10581, 9272, 2891, 11767, 519, 2450, 540, 4009, 2427, 281, 27328, 825, 1820, 2891, 763, 1858, 540, 4009, 568, 3160, 547, 24333, 5515, 269, 19327, 15058, 5334, 13645, 5416, 4917, 0, 20701, 329, 5459, 269, 2903, 338, 27203, 338, 2970, 532, 264, 910, 1184, 795, 338, 2970, 532, 547, 5124, 1826, 692, 329, 5459, 269, 2903, 31526, 22437, 5793, 264, 910, 13907, 795, 5459, 689, 513, 3758, 454, 13376, 543, 7024, 607, 513, 1267, 540, 1505, 5124, 1826, 692, 20701, 5814, 795, 5459, 692, 28291, 815, 13634, 825, 834, 27583, 257, 2433, 834, 3719, 594, 4465, 1405, 798, 621, 256, 20350, 825, 834, 516, 3161, 14729, 792, 257, 2433, 476, 3422, 280, 2676, 825, 834, 342, 517, 318, 8113, 541, 257, 2433, 6936, 2676, 825, 834, 716, 832, 9899, 9497, 6635, 330, 611, 3780, 345, 654, 22119, 617, 2117, 5414, 330, 2580, 834, 310, 2723, 2280, 320, 654, 22119, 617, 2117, 5414, 330, 257, 13211, 825, 834, 321, 644, 1326, 257, 2433, 7183, 2676, 825, 834, 920, 323, 1080, 257, 2433, 13634, 2018, 834, 29715, 528, 257, 2433, 834, 6635, 330, 611, 3780, 345, 654, 22119, 617, 2117, 5414, 330, 20350, 2018, 834, 23116, 257, 2433, 834, 2704, 534, 8738, 3455, 20350, 2018, 834, 29434, 1807, 257, 2433, 834, 2304, 830, 1323, 574, 520, 3700, 4840, 2018, 7684, 454, 10926, 16780, 10757, 14303, 7205, 300, 990, 773, 815, 1412, 346, 257, 27583, 9899, 834, 3719, 594, 4465, 32075, 339, 798, 621, 8627, 2580, 834, 516, 3161, 14729, 792, 9899, 476, 3422, 280, 267, 834, 342, 517, 318, 8113, 541, 9899, 3020, 267, 834, 716, 832, 9899, 22373, 6635, 330, 611, 3780, 345, 654, 22119, 617, 2117, 5414, 330, 2580, 834, 310, 2723, 2280, 320, 654, 22119, 617, 2117, 5414, 330, 257, 3910, 834, 321, 644, 1326, 9899, 14275, 267, 834, 920, 323, 1080, 9899, 2715, 257, 29715, 528, 9899, 834, 6635, 330, 611, 3780, 345, 654, 22119, 617, 2117, 5414, 330, 2580, 834, 23116, 9899, 834, 2704, 534, 8738, 3455, 2580, 834, 29434, 1807, 9899, 834, 2304, 830, 1323, 574, 520, 3700, 257, 3686, 28847, 20657, 10757, 300, 990, 773, 815, 795, 5459, 269, 2903, 338, 263, 16780, 10757, 14303, 7205, 300, 990, 773, 2020, 5976, 1930, 2891, 338, 2217, 12459, 5459, 2580, 17683, 6889, 7473, 293, 268, 279, 8442, 607, 3758, 912, 825, 1267, 815, 795, 5459, 269, 2903, 31526, 2020, 0, 18257, 3758, 2012, 2433, 3288, 680, 659, 1014, 18258, 692, 20373, 2433, 901, 3732, 2982, 875, 547, 1265, 3288, 680, 659, 1014, 540, 606, 3239, 692, 1607, 568, 5124, 4528, 540, 713, 5850, 2433, 5291, 2517, 13449, 29764, 269, 527, 5408, 345, 2593, 7933, 665, 14121, 583, 3645, 338, 270, 19112, 2889, 322, 270, 19112, 10520, 270, 5055, 2897, 318, 28072, 270, 5055, 2897, 318, 28072, 11258, 692, 25583, 2433, 10670, 1676, 692, 19119, 2433, 6258, 547, 1265, 3288, 680, 659, 1014, 540, 606, 3239, 692, 5825, 720, 2433, 9226, 3288, 680, 659, 1014, 18258, 8528, 24309, 676, 2433, 2806, 573, 918, 269, 630, 629, 573, 19207, 2006, 273, 287, 326, 21166, 2593, 264, 2073, 16731, 1930, 29764, 7090, 269, 24108, 4944, 582, 2593, 585, 811, 18862, 15981, 692, 5814, 20956, 273, 454, 5814, 11885, 607, 5286, 692, 330, 14533, 15481, 815, 476, 274, 454, 29173, 815, 476, 272, 454, 23169, 815, 476, 271, 454, 9536, 3704, 815, 20956, 273, 5861, 309, 318, 1626, 306, 692, 19112, 815, 20956, 273, 269, 574, 1348, 3488, 332, 612, 328, 276, 27970, 5073, 19112, 815, 20956, 273, 14371, 320, 11701, 7922, 584, 263, 19112, 267, 263, 274, 267, 274, 1070, 271, 994, 326, 2001, 815, 20956, 273, 6983, 26404, 21760, 263, 19112, 22698, 341, 273, 269, 4596, 299, 3036, 29758, 16165, 273, 294, 6938, 312, 2020, 326, 2001, 9078, 777, 815, 20956, 273, 11482, 320, 680, 659, 1014, 14116, 2001, 267, 9536, 3704, 267, 802, 1125, 815, 17830, 15481, 267, 29173, 815, 4336, 267, 23169, 815, 18232, 994, 323, 560, 815, 20956, 273, 26769, 3200, 306, 7051, 27028, 14116, 2001, 9078, 777, 2020, 29764, 273, 269, 574, 19651, 3488, 5055, 680, 659, 1014, 3299, 323, 560, 994, 29764, 273, 9884, 7159, 7659, 263, 271, 994, 29764, 273, 6155, 652, 5797, 5472, 20360, 3298, 4590, 0, 18257, 3758, 2012, 2433, 5276, 6958, 559, 614, 18258, 692, 20373, 2433, 901, 3732, 2982, 875, 547, 1711, 513, 5276, 6882, 543, 4019, 28708, 692, 1607, 568, 5124, 4528, 540, 713, 5850, 2433, 5291, 2517, 13449, 29764, 269, 527, 5408, 345, 2593, 7933, 665, 14121, 583, 3645, 338, 270, 19112, 2889, 322, 270, 19112, 10520, 11721, 559, 614, 318, 273, 323, 11721, 559, 614, 318, 273, 323, 11258, 258, 16344, 614, 268, 273, 323, 692, 25583, 2433, 10670, 1676, 692, 19119, 2433, 6258, 547, 476, 272, 264, 1711, 513, 17830, 543, 476, 273, 264, 4019, 28708, 692, 5825, 720, 2433, 9226, 5276, 6958, 559, 614, 18258, 8528, 24309, 676, 2433, 2806, 573, 918, 269, 630, 629, 573, 19207, 2006, 273, 287, 326, 21166, 2593, 264, 2073, 16731, 1930, 29764, 7090, 269, 24108, 4944, 582, 2593, 585, 811, 18862, 15981, 692, 5814, 20956, 273, 454, 5814, 11885, 607, 5286, 692, 19112, 815, 20956, 273, 269, 574, 1348, 3488, 24610, 27970, 17210, 21123, 528, 815, 11196, 272, 16427, 272, 994, 23169, 815, 476, 271, 454, 9536, 3704, 815, 910, 272, 692, 785, 815, 476, 271, 692, 6112, 263, 12148, 2187, 8931, 825, 20956, 273, 269, 574, 19651, 3488, 13548, 3299, 19112, 994, 825, 737, 815, 20956, 273, 9884, 7159, 7659, 263, 4335, 2020, 825, 952, 737, 2525, 2767, 912, 1038, 2736, 692, 825, 17830, 15481, 815, 476, 274, 1341, 476, 273, 16732, 967, 260, 276, 3738, 567, 1948, 3843, 585, 17830, 7306, 1496, 274, 267, 276, 267, 278, 267, 280, 267, 1556, 2639, 825, 17830, 815, 5286, 269, 2158, 9230, 330, 14533, 15481, 267, 330, 14533, 15481, 1070, 12639, 269, 15615, 3953, 19422, 330, 14533, 15481, 265, 330, 14533, 15481, 2020, 825, 20956, 273, 8807, 559, 614, 273, 291, 263, 19112, 267, 9536, 3704, 267, 330, 14533, 267, 19112, 267, 21123, 528, 267, 23169, 22698, 341, 273, 11065, 16704, 2207, 32707, 9128, 288, 17109, 994, 8931, 825, 967, 815, 967, 266, 272, 692, 29764, 273, 6155, 652, 5797, 5472, 20360, 3298, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 258, 815, 7529, 7383, 2838, 13838, 815, 13117, 4499, 692, 258, 585, 1210, 1062, 12981, 454, 5814, 19523, 692, 258, 585, 1210, 15259, 12981, 899, 1592, 1463, 7685, 3092, 454, 5814, 15259, 692, 258, 585, 6310, 3252, 16887, 1319, 686, 1182, 454, 5814, 11885, 607, 5286, 692, 258, 585, 2489, 13004, 454, 5228, 2979, 1104, 2608, 8528, 3698, 2215, 1275, 3799, 2187, 14851, 562, 2652, 476, 272, 912, 453, 16596, 8771, 454, 453, 19197, 562, 2999, 476, 275, 912, 453, 16596, 6936, 454, 453, 19197, 562, 260, 273, 2652, 476, 271, 912, 453, 16596, 8771, 454, 453, 19197, 562, 2999, 476, 280, 912, 453, 16596, 6936, 454, 453, 19197, 562, 260, 274, 2652, 476, 271, 912, 453, 16596, 8771, 454, 28432, 912, 453, 453, 3916, 527, 815, 21762, 3799, 994, 453, 453, 335, 815, 476, 276, 454, 453, 453, 6112, 533, 10922, 3970, 912, 4848, 14851, 562, 260, 335, 2652, 476, 271, 912, 15235, 16596, 8771, 454, 4848, 14851, 562, 260, 263, 335, 266, 273, 264, 2652, 476, 271, 912, 15235, 16596, 8771, 454, 4848, 453, 335, 6834, 476, 277, 454, 16596, 6936, 7531, 3698, 1003, 5091, 643, 30583, 3799, 267, 1440, 1307, 2187, 453, 13440, 867, 815, 31460, 453, 15965, 30583, 815, 476, 272, 454, 28768, 22610, 6305, 538, 22136, 912, 453, 453, 12248, 815, 476, 271, 454, 453, 453, 6112, 562, 11203, 476, 271, 543, 562, 260, 18905, 2652, 476, 271, 912, 4848, 453, 333, 815, 562, 270, 18905, 454, 4848, 453, 339, 787, 912, 15235, 453, 13440, 867, 314, 18905, 316, 6834, 476, 272, 454, 4848, 453, 21955, 912, 15235, 453, 13440, 867, 314, 18905, 316, 815, 476, 272, 692, 22610, 1883, 538, 2594, 912, 453, 453, 15965, 30583, 815, 16975, 16732, 13440, 867, 314, 4486, 316, 1341, 476, 272, 2020, 16596, 16975, 692, 3916, 527, 815, 3403, 2891, 15893, 540, 16975, 2838, 2433, 19515, 258, 5352, 519, 1592, 540, 1101, 476, 4335, 6305, 2338, 454, 328, 815, 476, 272, 454, 12248, 815, 476, 271, 454, 1440, 1307, 815, 11713, 6112, 1293, 2999, 476, 4335, 912, 14851, 2215, 1275, 9217, 264, 10778, 453, 453, 12248, 6834, 476, 272, 454, 453, 453, 258, 1820, 1775, 2676, 453, 453, 1440, 1307, 6910, 9217, 994, 453, 328, 6834, 476, 272, 692, 15965, 30583, 815, 476, 272, 454, 328, 815, 476, 272, 454, 6112, 16975, 2999, 3970, 912, 453, 333, 815, 1775, 16732, 328, 266, 272, 8358, 273, 454, 453, 15965, 30583, 815, 1003, 5091, 643, 30583, 3799, 267, 1440, 1307, 994, 453, 328, 6834, 476, 272, 454, 13537, 562, 267, 16975, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 258, 815, 7529, 7383, 2838, 13838, 815, 13117, 4499, 692, 258, 585, 1210, 1062, 12981, 454, 5814, 19523, 692, 258, 585, 1210, 15259, 12981, 899, 1592, 1463, 7685, 3092, 454, 5814, 15259, 692, 258, 585, 6310, 3252, 16887, 1319, 686, 1182, 454, 5814, 11885, 607, 5286, 692, 258, 585, 2489, 13004, 454, 5228, 2979, 1104, 2608, 692, 11907, 815, 13634, 1038, 1412, 821, 262, 2433, 476, 274, 267, 3097, 1038, 1412, 18314, 262, 2433, 476, 274, 267, 3097, 1038, 1412, 22764, 262, 2433, 476, 276, 267, 3097, 1038, 1412, 27917, 262, 2433, 476, 275, 267, 3097, 1038, 1412, 325, 633, 9166, 476, 275, 267, 3097, 1038, 1412, 338, 1460, 9166, 476, 274, 2676, 1038, 1412, 572, 1597, 9166, 276, 2676, 1038, 1412, 324, 697, 9166, 276, 2676, 1038, 1412, 333, 710, 9166, 275, 2676, 1038, 1412, 1084, 9166, 274, 2676, 1038, 1412, 25279, 1597, 9166, 277, 2676, 1038, 1412, 13512, 10679, 9166, 277, 2676, 1038, 1412, 628, 597, 10117, 262, 2433, 476, 279, 2676, 1038, 1412, 27917, 10117, 262, 2433, 476, 279, 2676, 1038, 1412, 325, 604, 10117, 262, 2433, 476, 278, 2676, 1038, 1412, 338, 4869, 8696, 262, 2433, 476, 278, 2676, 1038, 1412, 572, 1203, 8696, 262, 2433, 476, 280, 2676, 1038, 1412, 324, 697, 8696, 262, 2433, 476, 279, 2676, 1038, 1412, 333, 31106, 262, 2433, 476, 279, 2676, 1038, 1412, 13512, 4868, 262, 2433, 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 ]

[ 922, 27147, 540, 519, 631, 330, 1724, 585, 519, 17620, 563, 763, 631, 330, 1724, 4679, 1085, 719, 2879, 760, 619, 685, 2039, 676, 10199, 476, 4968, 7397, 543, 786, 946, 519, 1547, 4968, 12736, 17998, 13804, 636, 1608, 9200, 5180, 267, 513, 18219, 10286, 1788, 850, 609, 5488, 18665, 14794, 6991, 2443, 4162, 602, 5447, 13149, 2879, 23803, 12588, 609, 519, 772, 2529, 269, 8136, 543, 7981, 15051, 16710, 563, 10527, 1547, 4968, 12736, 17998, 13804, 636, 5180, 786, 1685, 1732, 982, 519, 1699, 476, 278, 269, 7830, 24114, 993, 15879, 538, 8184, 267, 2810, 519, 13149, 10965, 23803, 779, 1101, 5180, 5506, 540, 5734, 2223, 1767, 12751, 654, 1551, 656, 20229, 476, 274, 25414, 6022, 345, 26973, 267, 15506, 30119, 25511, 1676, 585, 32691, 9751, 15506, 30119, 269, 968, 1607, 22010, 568, 606, 6909, 3094, 543, 786, 1450, 2879, 760, 619, 547, 4497, 9072, 693, 3152, 9883, 3034, 763, 631, 330, 1724, 786, 849, 581, 2361, 539, 609, 606, 8476, 1554, 23726, 602, 2488, 3152, 3172, 2305, 2039, 543, 606, 4824, 1427, 1834, 563, 22154, 2879, 23803, 29461, 786, 1450, 3057, 1149, 547, 556, 1263, 720, 9072, 5488, 609, 5730, 1279, 24365, 3595, 1247, 9363, 10703, 4705, 693, 782, 2053, 2223, 1767, 590, 25885, 269, 11969, 344, 7605, 956, 267, 10829, 4815, 27533, 10965, 23803, 3427, 14357, 543, 631, 5425, 290, 561, 807, 2581, 563, 10527, 1007, 1554, 23726, 2636, 585, 2318, 8446, 540, 14763, 693, 3152, 9883, 267, 543, 621, 814, 513, 7470, 16654, 1427, 1834, 602, 2636, 585, 4028, 556, 1263, 1771, 1510, 2348, 547, 3866, 11941, 610, 2048, 3835, 685, 1510, 513, 4704, 1448, 2223, 646, 1767, 269, 968, 4415, 713, 1826, 540, 14049, 538, 519, 18239, 267, 649, 786, 2333, 938, 29723, 1275, 543, 581, 2111, 547, 10703, 531, 938, 4087, 1317, 649, 616, 2870, 513, 17280, 1063, 721, 543, 519, 10546, 3034, 300, 5425, 290, 6192, 1715, 16811, 9751, 585, 519, 631, 330, 1724, 609, 513, 3444, 3296, 540, 3057, 1149, 689, 3742, 1673, 14280, 267, 15944, 543, 2866, 4559, 538, 2038, 4989, 476, 1001, 279, 563, 10527, 2879, 760, 619, 8604, 547, 2731, 5660, 519, 1007, 7207, 602, 2097, 609, 713, 29461, 543, 23726, 2223, 1767, 1788, 11464, 12650, 269, 7671, 10515, 335, 7637, 269, 968, 5475, 519, 1101, 1554, 593, 519, 2039, 267, 789, 941, 4421, 3034, 1103, 513, 942, 1141, 2029, 267, 993, 32099, 543, 1507, 7916, 14049, 1949, 616, 14027, 693, 606, 5051, 4028, 2557, 267, 621, 568, 5393, 1271, 547, 2327, 519, 13149, 17620, 568, 693, 519, 21282, 540, 22876, 1005, 543, 2361, 532, 1007, 543, 4824, 14049, 1949, 547, 519, 5665, 4229, 267, 1767, 28711, 1731, 514, 563, 2108, 2710, 532, 713, 6087, 519, 17620, 547, 2226, 519, 5413, 936, 922, 14763, 593, 519, 25071, 267, 607, 1134, 607, 547, 5150, 922, 11967, 2990, 607, 519, 4028, 6433, 3210, 3196, 585, 519, 2136, 2276, 2223, 646, 1767, 563, 21080, 2006, 5981, 2107, 638, 21289, 540, 519, 476, 10170, 560, 8232, 17086, 8293, 611, 1258, 31273, 519, 1985, 5108, 540, 3440, 2065, 24743, 1282, 513, 7450, 1786, 2286, 3635, 693, 966, 766, 5794, 10414, 12476, 538, 20274, 20029, 269, 476, 1428, 269, 634, 5794, 10414, 8232, 17086, 4741, 568, 12902, 856, 519, 1007, 31238, 547, 3354, 4229, 4559, 269, 630, 25938, 1640, 5794, 2006, 13177, 9197, 592, 12458, 597, 10414, 994, 763, 5794, 10414, 814, 1044, 11112, 713, 4832, 269, 3245, 3246, 519, 5767, 1362, 540, 16461, 1080, 547, 6611, 10414, 547, 29307, 1732, 17501, 1560, 24915, 547, 2021, 2011, 5443, 267, 621, 4667, 899, 519, 2149, 832, 540, 519, 6607, 616, 2731, 3168, 547, 4228, 543, 1020, 593, 922, 7029, 547, 922, 3196, 269, 901, 2501, 1310, 519, 7903, 538, 476, 1001, 279, 585, 5794, 10414, 9718, 619, 547, 1205, 8242, 9604, 267, 2059, 609, 15428, 2866, 543, 8516, 4441, 563, 3086, 267, 3354, 2011, 5443, 616, 1985, 538, 1899, 547, 4309, 513, 7833, 22010, 269, 17652, 267, 789, 3580, 581, 9783, 1007, 2027, 522, 1186, 6438, 31238, 269, 901, 1985, 5108, 540, 3440, 2065, 24743, 568, 1175, 519, 5767, 11036, 602, 519, 5794, 10414, 568, 2921, 547, 2327, 922, 10986, 3788, 2922, 563, 1607, 1007, 24743, 568, 2469, 547, 5372, 519, 4587, 543, 2484, 1447, 14194, 2194, 762, 11628, 10395, 520, 4477, 5471, 269, 634, 589, 6224, 568, 1018, 3354, 4229, 4867, 5957, 267, 543, 1082, 2011, 5443, 723, 5360, 7134, 827, 922, 13557, 543, 2597, 269, 17006, 547, 519, 2591, 568, 602, 519, 589, 6224, 568, 2966, 585, 2666, 4559, 267, 865, 2011, 5443, 723, 17388, 609, 621, 267, 543, 538, 930, 2665, 267, 723, 1185, 547, 28459, 543, 12189, 621, 609, 4439, 5652, 23937, 547, 9585, 1114, 5692, 5036, 563, 8253, 1152, 786, 519, 1007, 24743, 2097, 609, 1732, 14950, 3429, 267, 3710, 2987, 7841, 902, 547, 3362, 8936, 17960, 267, 855, 789, 3580, 849, 581, 14402, 543, 16830, 269, 634, 5794, 10414, 8232, 17086, 4741, 568, 1631, 11488, 856, 1007, 3440, 2065, 31238, 607, 621, 11775, 856, 519, 589, 6224, 563, 763, 476, 10170, 560, 8232, 17086, 8293, 611, 1258, 267, 4092, 693, 966, 766, 5794, 10414, 12476, 538, 20274, 267, 729, 519, 1101, 27805, 1258, 547, 4309, 519, 24743, 269, 17652, 2011, 5443, 10876, 786, 4309, 519, 22010, 563, 2304, 5794, 10414, 2046, 5305, 1767, 602, 519, 3355, 3210, 547, 519, 1007, 24743, 814, 1044, 2318, 269, 9457, 590, 25885, 269, 11023, 787, 331, 19159, 267, 476, 10170, 560, 590, 12396, 17825, 543, 22026, 2706, 23734, 550, 267, 1767, 602, 519, 1007, 4528, 568, 519, 968, 2865, 26227, 24743, 892, 646, 779, 12816, 538, 476, 866, 1296, 563, 763, 31238, 616, 851, 540, 519, 5794, 10414, 8232, 17086, 6513, 11036, 547, 2413, 1125, 711, 1175, 14049, 1949, 855, 849, 1367, 8825, 10591, 269, 32087, 538, 713, 29295, 568, 20314, 1890, 1489, 3937, 543, 11766, 762, 10618, 1949, 267, 1312, 540, 799, 786, 581, 14063, 547, 6707, 9396, 908, 519, 10546, 538, 2104, 7526, 269, 769, 519, 2104, 267, 519, 5794, 10414, 4566, 547, 5066, 856, 513, 9241, 15428, 631, 1240, 22606, 1688, 30516, 1062, 267, 631, 275, 288, 272, 14213, 29461, 267, 631, 8099, 288, 272, 10859, 22052, 11703, 8856, 6278, 29461, 267, 631, 17168, 288, 272, 575, 1066, 1228, 7438, 7815, 267, 543, 22606, 267, 27249, 1655, 338, 563, 14071, 2461, 7114, 32330, 4162, 540, 519, 1655, 1367, 3937, 2872, 814, 547, 2709, 693, 519, 1655, 1871, 547, 3035, 32301, 2066, 519, 3196, 2223, 1767, 700, 339, 269, 2051, 269, 31550, 17880, 11169, 267, 589, 12396, 15598, 8689, 540, 8298, 2524, 269, 968, 1607, 4674, 568, 15747, 538, 5329, 4347, 11367, 2429, 519, 3354, 4229, 13055, 4712, 543, 24037, 609, 27147, 540, 519, 1034, 5969, 12967, 543, 5499, 3937, 2139, 538, 1931, 547, 9585, 13485, 9108, 543, 3927, 3034, 4322, 2242, 782, 2097, 1310, 519, 5794, 10414, 779, 5729, 540, 519, 4347, 2658, 476, 1001, 280, 5751, 267, 1141, 519, 3028, 5342, 513, 2143, 543, 3573, 2689, 540, 782, 3354, 4229, 269, 901, 2689, 8268, 2127, 602, 1223, 581, 4824, 2390, 267, 1312, 538, 2474, 540, 3937, 543, 10591, 547, 12485, 267, 2866, 267, 543, 2489, 27907, 25242, 269, 1677, 4266, 267, 519, 5794, 10414, 814, 6707, 5249, 998, 936, 476, 12010, 1808, 3688, 602, 2877, 547, 1689, 543, 814, 6170, 3592, 476, 271, 2929, 547, 9337, 741, 10591, 563, 763, 5794, 10414, 4867, 2361, 827, 476, 1839, 267, 1822, 3742, 1673, 14280, 3354, 4229, 2011, 5443, 269, 1703, 616, 606, 3606, 476, 1724, 267, 1822, 538, 519, 5794, 2817, 15050, 543, 15944, 3334, 269, 2986, 519, 4229, 476, 4343, 267, 1822, 2011, 5443, 267, 827, 476, 7176, 2600, 616, 21821, 539, 269, 901, 20383, 519, 3003, 7936, 540, 519, 5794, 10414, 609, 519, 8136, 779, 1769, 652, 1769, 26462, 1770, 563, 289, 3419, 269, 2637, 269, 1656, 16699, 570, 1638, 657, 267, 4876, 3354, 4229, 11464, 267, 1767, 602, 519, 5794, 10414, 814, 968, 1410, 6244, 819, 776, 5072, 2223, 543, 602, 519, 7936, 568, 968, 320, 11100, 1063, 1769, 26462, 543, 513, 4108, 7128, 2754, 3034, 8624, 937, 1947, 267, 891, 2462, 2242, 616, 4543, 519, 3028, 2744, 2011, 27166, 936, 519, 9263, 10779, 776, 602, 1223, 5732, 10460, 513, 2462, 3463, 547, 519, 4108, 269, 1306, 519, 5794, 10414, 5170, 547, 1413, 4724, 519, 2104, 543, 519, 10171, 540, 7526, 609, 2901, 6576, 610, 3624, 267, 519, 5794, 10414, 2115, 547, 581, 2111, 547, 4584, 909, 519, 1793, 871, 17420, 4464, 11546, 23903, 27805, 6425, 3079, 540, 13461, 593, 2666, 4229, 269, 901, 1007, 24743, 22010, 568, 2943, 1776, 1900, 547, 1818, 2386, 602, 666, 4755, 563, 2467, 779, 1945, 11509, 827, 1373, 513, 27585, 2443, 543, 1100, 267, 649, 1810, 1406, 1611, 30908, 8584, 1922, 1515, 2000, 8014, 11325, 268, 615, 1922, 324, 564, 2186, 540, 11509, 269, 9737, 519, 7381, 8941, 540, 24123, 23339, 543, 26007, 540, 575, 548, 5446, 267, 32219, 17015, 540, 24915, 267, 519, 1272, 540, 513, 27585, 814, 1044, 1500, 883, 1945, 1178, 837, 982, 621, 2965, 729, 563, 763, 7287, 547, 1491, 909, 18156, 543, 13104, 543, 2661, 519, 1272, 540, 513, 27585, 5612, 4422, 856, 519, 6885, 2899, 596, 1451, 513, 2370, 811, 827, 1018, 602, 1272, 729, 2965, 899, 269, 2755, 707, 519, 1995, 540, 5679, 662, 11856, 9867, 7494, 1063, 25267, 267, 1100, 2339, 799, 7333, 1676, 596, 16004, 267, 789, 782, 3838, 835, 1455, 2298, 281, 1272, 6366, 13050, 647, 22486, 563, 1691, 1296, 540, 2866, 543, 596, 2461, 1175, 2016, 513, 8799, 1273, 593, 519, 1394, 543, 6148, 513, 4062, 540, 2244, 2443, 711, 513, 14500, 267, 1498, 267, 1317, 1346, 616, 7199, 563, 7312, 3460, 2356, 3459, 693, 607, 1762, 607, 5722, 1296, 2025, 454, 2005, 7012, 1406, 7357, 7543, 585, 513, 32066, 2389, 29354, 21351, 1874, 547, 581, 6444, 585, 30493, 543, 4473, 538, 4567, 267, 855, 602, 729, 9765, 5944, 4686, 630, 1721, 4128, 649, 3580, 1205, 883, 16172, 1040, 1280, 519, 1034, 851, 267, 29843, 941, 3622, 616, 4535, 883, 519, 1909, 269, 1403, 707, 4651, 729, 513, 27585, 610, 952, 596, 941, 540, 15626, 4332, 855, 2484, 689, 519, 1899, 540, 19588, 267, 5679, 662, 11856, 729, 585, 596, 563, 1607, 5921, 602, 267, 585, 519, 1034, 851, 267, 689, 519, 4090, 540, 707, 4332, 267, 596, 8910, 581, 4397, 547, 1831, 513, 27585, 543, 4339, 585, 707, 18459, 269, 634, 1184, 3335, 3459, 693, 2085, 5722, 269, 1411, 8910, 581, 2016, 1055, 547, 513, 15626, 547, 1451, 607, 1454, 607, 596, 1223, 269, 634, 2298, 540, 713, 6689, 26523, 539, 7357, 593, 519, 627, 15501, 540, 1767, 15626, 269, 3973, 267, 693, 2085, 476, 1691, 267, 596, 8910, 1831, 513, 2695, 790, 563, 306, 638, 2231, 941, 267, 9247, 267, 22631, 585, 1697, 29843, 945, 8910, 798, 782, 540, 519, 18473, 610, 27217, 4247, 269, 2142, 513, 27585, 779, 2144, 8681, 7911, 585, 5722, 811, 1296, 267, 543, 596, 3580, 6368, 7118, 707, 5679, 662, 11856, 563, 4263, 2547, 519, 795, 24065, 532, 1131, 581, 1187, 7498, 2791, 2461, 798, 2484, 811, 982, 1175, 8165, 2443, 543, 9039, 540, 621, 729, 1187, 563, 18455, 513, 27585, 5921, 2484, 811, 982, 1175, 6029, 909, 547, 798, 6370, 8164, 2040, 3000, 539, 676, 707, 9114, 613, 269, 2311, 2053, 540, 2112, 267, 610, 952, 741, 1297, 4769, 1406, 1205, 1572, 547, 979, 4339, 538, 930, 6370, 267, 789, 941, 4397, 547, 581, 2199, 3401, 1851, 519, 1804, 32066, 2486, 563, 3383, 267, 1491, 782, 1346, 1296, 540, 1565, 547, 4339, 543, 12235, 11313, 655, 856, 519, 6885, 267, 1317, 596, 2461, 1631, 519, 1291, 16027, 2394, 2576, 16976, 547, 986, 573, 707, 8498, 269, 12769, 31531, 267, 596, 8910, 798, 7128, 10279, 543, 267, 811, 1419, 267, 596, 8910, 581, 519, 18657, 1807, 540, 2199, 13882, 267, 855, 602, 779, 827, 621, 2394, 621, 779, 5880, 8172, 942, 563, 26170, 519, 1655, 2736, 1524, 585, 875, 29749, 669, 2526, 787, 2965, 729, 267, 1224, 5213, 2372, 1460, 1774, 543, 3314, 602, 621, 729, 2854, 17543, 547, 581, 513, 24337, 563, 2791, 1185, 547, 1246, 513, 7453, 3009, 540, 968, 577, 2526, 787, 7536, 763, 2262, 968, 577, 2526, 787, 892, 24283, 689, 519, 6196, 3943, 2262, 267, 968, 3832, 1998, 24809, 892, 799, 5921, 968, 1817, 572, 2006, 1848, 3683, 942, 267, 519, 7086, 656, 29843, 267, 3335, 513, 1598, 728, 9640, 267, 3576, 593, 741, 1378, 3009, 540, 7881 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14434, 267, 6886, 543, 8324, 267, 3976, 4543, 547, 2569, 4220, 540, 2295, 2068, 269, 17006, 15708, 1107, 2523, 30207, 267, 22229, 267, 3109, 11241, 543, 678, 5684, 11241, 547, 707, 3232, 2732, 568, 606, 2500, 1505, 547, 16578, 19140, 2305, 543, 6175, 6553, 1247, 7863, 1996, 9025, 10108, 563, 2662, 1961, 9274, 971, 607, 6960, 7573, 267, 28113, 267, 30383, 267, 24061, 267, 11369, 342, 17742, 543, 844, 29184, 616, 1434, 2959, 540, 20249, 602, 1404, 513, 1804, 1909, 538, 15725, 1973, 2604, 543, 2295, 1072, 269, 14109, 1074, 1782, 547, 16556, 28113, 593, 15446, 327, 584, 1206, 543, 25235, 568, 606, 2653, 1259, 547, 6451, 2898, 9274, 883, 707, 3232, 6980, 563, 4407, 519, 8241, 26678, 13832, 15565, 476, 272, 1107, 476, 274, 32122, 540, 16738, 267, 5798, 267, 3165, 267, 543, 22053, 610, 10365, 1169, 1554, 267, 12145, 9268, 16469, 630, 324, 3052, 1421, 8423, 543, 28019, 264, 616, 1898, 547, 2057, 1072, 5829, 4220, 563, 23613, 538, 15060, 268, 274, 9761, 7408, 267, 13687, 543, 27966, 666, 849, 2539, 1973, 9600, 1572, 27831, 1938, 1247, 11689, 2358, 12150, 2295, 18819, 269, 1403, 596, 1810, 1406, 3548, 1454, 16872, 267, 3165, 3282, 9360, 616, 1776, 4781, 547, 3489, 707, 3232, 9570, 540, 15060, 268, 274, 9761, 7408, 269, 1879, 8600, 5779, 8286, 267, 1118, 2386, 547, 946, 2370, 15459, 610, 1098, 19339, 3282, 593, 16738, 543, 3165, 1510, 2960, 585, 1655, 2640, 563, 4462, 4148, 822, 10696, 5144, 267, 15446, 327, 4669, 543, 10381, 454, 6944, 9009, 547, 2442, 3661, 267, 1072, 2640, 2404, 609, 10683, 3536, 8831, 2484, 3564, 2679, 543, 4509, 2635, 7633, 543, 4522, 269, 28900, 14095, 609, 5567, 971, 607, 7513, 543, 3940, 267, 5144, 2472, 267, 1519, 1346, 602, 616, 2362, 538, 3170, 267, 616, 2404, 609, 513, 4389, 1981, 540, 9025, 2068, 269, 1703, 616, 1082, 2081, 547, 6451, 10683, 883, 707, 3232, 2732, 267, 1519, 3248, 268, 14109, 1074, 1782, 10381, 593, 18437, 454, 268, 17006, 21100, 540, 10381, 538, 32409, 610, 12109, 1186, 454, 268, 3117, 11167, 811, 5144, 610, 15446, 327, 4669, 2861, 5347, 625, 454, 30144, 9600, 543, 11041, 454, 17843, 2010, 540, 9600, 666, 1764, 707, 2295, 8335, 1107, 15459, 3170, 666, 3648, 6318, 519, 1981, 540, 2295, 2068, 267, 1247, 1395, 10494, 18260, 9600, 723, 1044, 5532, 547, 4389, 2157, 540, 8501, 269, 5253, 609, 1164, 2157, 540, 2635, 9600, 971, 607, 10808, 267, 5452, 267, 543, 19146, 15606, 616, 2539, 538, 2157, 540, 968, 21112, 892, 25928, 8501, 543, 666, 948, 547, 2149, 707, 2295, 269, 5502, 540, 1210, 7423, 543, 14432, 5986, 11041, 267, 2119, 824, 8925, 971, 607, 14462, 267, 666, 7637, 267, 24113, 610, 30011, 3282, 593, 25235, 267, 3694, 543, 11273, 19787, 269, 3680, 17310, 267, 13869, 17830, 267, 543, 13869, 11041, 267, 799, 616, 782, 1164, 538, 15459, 3170, 563, 15463, 2125, 543, 14546, 454, 12441, 596, 917, 602, 519, 3328, 8241, 22655, 5176, 5595, 519, 2179, 540, 6070, 602, 568, 2838, 585, 1434, 1072, 286, 3117, 11167, 1932, 1454, 6070, 666, 1291, 547, 1164, 1973, 2604, 543, 606, 5044, 540, 2295, 5829, 22074, 269, 2755, 4227, 519, 2179, 540, 6070, 3773, 547, 707, 5986, 568, 513, 1434, 1101, 1900, 267, 1454, 540, 519, 6070, 596, 3548, 2965, 2501, 689, 27574, 610, 9268, 3536, 269, 1924, 267, 1118, 2386, 547, 23396, 856, 891, 3688, 609, 4195, 267, 796, 15263, 539, 3536, 899, 4829, 543, 5388, 269, 26451, 11922, 543, 14546, 616, 606, 5140, 1259, 547, 1039, 30993, 547, 707, 6980, 1510, 8380, 707, 1072, 593, 519, 1899, 563, 1432, 3536, 1058, 594, 723, 1447, 540, 888, 288, 7059, 2732, 2882, 711, 1175, 4946, 2295, 268, 11794, 3536, 267, 855, 849, 4227, 519, 6981, 540, 1164, 5666, 540, 6070, 267, 4006, 267, 15459, 3170, 267, 543, 15568, 19719, 269, 634, 1739, 616, 513, 1592, 540, 3536, 547, 2057, 3248, 268, 645, 8898, 5370, 454, 268, 6713, 539, 5779, 454, 268, 21690, 16098, 454, 268, 6875, 12537, 1426, 630, 292, 3052, 1421, 16741, 267, 3276, 7970, 267, 3092, 8094, 4263, 15346, 541, 5622, 18669, 267, 938, 717, 11679, 616, 2139, 547, 2232, 1022, 4145, 602, 596, 949, 723, 827, 707, 2732, 269, 1284, 849, 1683, 6484, 29492, 2027, 2358, 538, 2127, 899, 2597, 2359, 267, 2021, 779, 1072, 267, 543, 1082, 1866, 269, 5192, 538, 5905, 609, 721, 585, 1022, 679, 24751, 543, 1433, 606, 13393, 2221, 269, 0, 3528, 11449, 713, 3028, 596, 786, 723, 1569, 547, 1152, 519, 4569, 476, 14056, 5149, 476, 272, 1627, 1704, 11473, 585, 519, 1699, 19496, 563, 1607, 3381, 2982, 596, 875, 547, 1711, 513, 5276, 3830, 2016, 513, 3349, 540, 1239, 563, 296, 786, 3802, 596, 998, 519, 3003, 1184, 689, 875, 547, 4283, 519, 1239, 883, 707, 9498, 267, 547, 875, 547, 1205, 519, 2626, 856, 540, 707, 9498, 267, 543, 1287, 875, 547, 3403, 519, 2016, 1032, 1239, 547, 1265, 513, 3803, 2551, 2450, 269, 1284, 786, 581, 1210, 513, 30263, 268, 10019, 610, 30263, 268, 10695, 9498, 585, 1454, 540, 519, 1184, 563, 2316, 268, 10019, 610, 30263, 268, 10695, 18185, 22490, 0, 1103, 513, 1867, 5950, 2221, 267, 606, 3486, 2319, 540, 476, 2767, 2916, 3744, 609, 519, 2622, 16661, 21922, 5698, 5462, 602, 519, 3002, 24859, 729, 476, 5611, 2053, 811, 2693, 547, 2049, 607, 513, 1267, 540, 2916, 1689, 4547, 827, 676, 8511, 3154, 5434, 563, 3963, 568, 621, 865, 3905, 1318, 1631, 476, 1708, 272, 888, 11764, 11302, 616, 3478, 28555, 7064, 547, 2916, 1689, 267, 2687, 547, 513, 1867, 5950, 713, 4832, 689, 8693, 6239, 269, 968, 2026, 3002, 13652, 6137, 8511, 9362, 2333, 519, 2518, 3328, 2837, 267, 649, 616, 7680, 2362, 3328, 5210, 543, 811, 3665, 543, 2594, 31771, 3002, 2621, 563, 3963, 568, 2837, 865, 1164, 538, 4516, 888, 4407, 519, 2407, 4336, 543, 2530, 3361, 676, 4516, 779, 3002, 24859, 7133, 3703, 12052, 3788, 547, 581, 2938, 267, 1082, 3744, 543, 14368, 5505, 723, 1767, 602, 971, 865, 2130, 5210, 1223, 1134, 581, 9648, 607, 1267, 540, 16246, 8511, 3154, 5434, 543, 513, 2048, 17742, 26434, 685, 540, 17645, 5533, 8108, 936, 3703, 12052, 6693, 1692, 3983, 568, 2916, 1689, 476, 1708, 272, 888, 1704, 4728, 281, 513, 1353, 676, 519, 4139, 18966, 540, 4414, 9061, 543, 4414, 595, 29266, 5081, 7724, 6059, 602, 267, 11451, 1063, 5181, 476, 1708, 271, 543, 5988, 476, 1708, 272, 267, 476, 1321, 269, 276, 2929, 1004, 941, 19774, 676, 8801, 5222, 540, 2916, 1689, 267, 519, 5993, 3328, 23630, 476, 736, 2929, 563, 3963, 568, 621, 1869, 3905, 538, 5239, 476, 1708, 272, 888, 295, 27941, 5210, 713, 3018, 616, 538, 851, 3361, 676, 513, 1164, 2604, 1062, 10825, 2066, 519, 3162, 909, 998, 1715, 4789, 2443, 10912, 585, 811, 24106, 543, 15911, 4365, 269, 10765, 4764, 543, 6777, 28323, 593, 519, 4639, 11076, 2813, 519, 1164, 2604, 1062, 267, 717, 691, 1676, 1767, 563, 3963, 568, 4516, 865, 4411, 888, 3963, 568, 4516, 865, 4411, 286, 5221, 540, 922, 4087, 5087, 540, 519, 4982, 1807, 267, 621, 1281, 1995, 4411, 4365, 269, 1717, 267, 1317, 540, 922, 2450, 267, 621, 814, 1082, 1114, 16374, 269, 3807, 4952, 267, 922, 7013, 8473, 6013, 538, 519, 1482, 20173, 607, 13566, 7187, 4993, 267, 1247, 922, 7187, 8473, 568, 2282, 519, 535, 3419, 573, 818, 8157, 563, 3674, 4516, 568, 513, 1434, 1747, 547, 2661, 888, 763, 10866, 540, 5020, 1016, 17213, 532, 6060, 1185, 513, 476, 1724, 269, 6434, 260, 2597, 538, 519, 2949, 7454, 18831, 20823, 269, 4658, 9846, 2070, 513, 1507, 1895, 540, 6082, 607, 1373, 1655, 693, 3246, 585, 741, 4961, 269, 1280, 519, 15795, 15654, 1032, 267, 4516, 16034, 3143, 269, 476, 272, 2949, 585, 3246, 513, 1434, 2298, 540, 1272, 563, 3674, 4516, 2141, 4411, 888, 28657, 568, 2141, 4411, 454, 7212, 4516, 1281, 3382, 851, 540, 519, 11848, 543, 649, 798, 723, 8701, 12217, 267, 782, 519, 1804, 8225, 4872, 616, 4092, 1063, 476, 4510, 543, 476, 4649, 5232, 20173, 799, 1797, 649, 723, 2185, 3982, 12405, 1519, 513, 4411, 5162, 543, 513, 3905, 4832, 269, 2560, 1809, 519, 24475, 616, 8197, 4411, 563, 3674, 972, 2518, 8337, 538, 476, 1708, 272, 888, 763, 2518, 1611, 2837, 585, 476, 1708, 272, 630, 22372, 593, 1239, 689, 5130, 547, 5181, 264, 729, 827, 476, 272, 269, 6021, 9180, 1657, 519, 476, 6977, 271, 268, 5002, 271, 3328, 269, 2560, 476, 1708, 272, 568, 1472, 476, 271, 269, 1240, 9180, 547, 476, 271, 269, 2918, 11019, 290, 15911, 982, 476, 1001, 272, 269, 1306, 519, 476, 1708, 271, 268, 2641, 5487, 15281, 29823, 814, 530, 534, 539, 267, 10865, 2518, 5210, 723, 2799, 563, 1432, 779, 519, 10782, 3364, 585, 2916, 1689, 888, 1015, 2916, 1689, 5636, 1622, 454, 268, 8738, 940, 8093, 10173, 585, 5201, 543, 3002, 568, 267, 676, 2484, 267, 519, 1292, 9920, 540, 2916, 1689, 269, 6693, 268, 18815, 2443, 6117, 267, 10760, 543, 519, 899, 2443, 2306, 909, 5176, 476, 1428, 260, 540, 2518, 2916, 268, 4219, 5533, 267, 2687, 547, 476, 1001, 273, 1239, 24704, 676, 654, 6020, 563, 1432, 4024, 2887, 476, 1708, 272, 1413, 899, 4365, 888, 14197, 476, 1708, 272, 12096, 16661, 5983, 4751, 454, 2690, 1034, 540, 519, 2887, 4005, 267, 5210, 2066, 519, 2136, 2276, 786, 581, 15911, 982, 3339, 538, 519, 769, 3410, 20667, 267, 7414, 19566, 267, 543, 7414, 25763, 4525, 543, 14522, 543, 2630, 3339, 11992, 563, 1432, 786, 5162, 581, 899, 538, 476, 1708, 272, 888, 310, 5793, 786, 581, 15911, 543, 5671, 518, 982, 3339, 267, 609, 2630, 5991, 5436, 6777, 6420, 269, 634, 4411, 652, 1974, 786, 581, 689, 3735, 5412, 883, 2038, 5130, 267, 609, 519, 6777, 5006, 5712, 538, 3735, 5437, 267, 3735, 5412, 267, 543, 2038, 5130, 269, 4989, 543, 2904, 786, 723, 2282, 5991, 5436, 5210, 543, 581, 4764, 1512, 982, 3339, 563, 1432, 2186, 540, 2887, 568, 10567, 585, 476, 1708, 272, 888, 1708, 272, 12096, 5983, 4751, 11137, 454, 763, 26478, 685, 1325, 2006, 659, 6905, 9472, 585, 2887, 6920, 602, 1919, 786, 5912, 689, 2864, 3636, 543, 18519, 2175, 538, 5181, 547, 606, 29099, 989, 18469, 543, 24360, 3923, 540, 5239, 269, 5239, 585, 1454, 540, 519, 2197, 568, 2356, 519, 1579, 11732, 543, 1034, 22471, 559, 3923, 540, 519, 1032, 269, 0, 5881, 268, 1015, 268, 1001, 280, 476, 6860, 281, 6349, 6751, 454, 21122, 543, 24635, 4270, 7424, 11314, 281, 10515, 532, 609, 13262, 454, 9336, 6830, 9519, 649, 786, 581, 20171, 8171, 2238, 596, 666, 798, 609, 707, 7141, 2336, 1607, 3018, 781, 8171, 2534, 568, 782, 827, 12003, 609, 2566, 543, 4358, 606, 1930, 6643, 1063, 596, 543, 707, 7141, 593, 875, 596, 1312, 2697, 4191, 540, 2566, 267, 543, 1018, 2994, 596, 946, 547, 4383, 543, 11883, 609, 2566, 563, 16352, 7391, 827, 2566, 568, 513, 2731, 1390, 1259, 547, 1711, 4656, 585, 1312, 14038, 543, 3237, 269, 1452, 5717, 666, 948, 596, 543, 707, 7141, 2097, 909, 609, 930, 1064, 14476, 2081, 2566, 666, 581, 4857, 543, 7307, 538, 519, 2104, 563, 1607, 2534, 786, 2285, 596, 930, 1883, 2055, 547, 1589, 827, 950, 6158, 547, 707, 7141, 827, 2566, 267, 543, 5000, 596, 547, 1376, 513, 6643, 2336, 1432, 1281, 2566, 1413, 899, 888, 763, 4191, 540, 2566, 1491, 1114, 3029, 585, 1114, 1004, 267, 543, 1565, 547, 1174, 519, 4191, 540, 2566, 585, 3054, 267, 543, 519, 4191, 540, 2566, 538, 707, 7141, 949, 948, 596, 917, 950, 621, 949, 581, 942, 547, 946, 2994, 547, 4383, 519, 2566, 563, 26524, 547, 1865, 609, 707, 7141, 281, 1548, 1281, 2566, 1413, 899, 585, 596, 543, 875, 798, 596, 917, 950, 596, 616, 4743, 14129, 270, 1478, 342, 3559, 4364, 888, 9336, 1268, 2941, 525, 609, 2566, 8335, 256, 5620, 513, 1413, 693, 519, 3381, 2630, 827, 1582, 1416, 585, 12322, 543, 1946, 621, 568, 1271, 547, 1489, 12322, 547, 1265, 2081, 540, 12003, 609, 2566, 563, 26524, 547, 1865, 609, 707, 7141, 281, 1548, 2238, 798, 596, 2972, 3257, 610, 2337, 547, 2285, 707, 2247, 513, 2736, 950, 596, 616, 4743, 14129, 888, 4131, 721, 917, 952, 596, 723, 1185, 513, 6643, 609, 707, 7141, 827, 2566, 269, 1215, 1705, 519, 6643, 979, 286, 9894, 596, 1451, 1945, 1007, 827, 3054, 610, 707, 7141, 286, 1215, 666, 596, 960, 1927, 547, 4383, 2566, 286, 0, 10403 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2037, 655, 553, 723, 1279, 1044, 1031, 607, 513, 25695, 19605, 799, 786, 948, 11177, 13101, 543, 2807, 476, 1428, 3764, 513, 19984, 543, 1039, 827, 476, 273, 6279, 540, 22890, 593, 540, 256, 1656, 2922, 585, 10130, 3141, 14315, 543, 15319, 6091, 7777, 11656, 661, 1186, 558, 20919, 616, 606, 11212, 11684, 10826, 22433, 585, 22074, 269, 1656, 1747, 707, 1101, 535, 1716, 538, 1463, 7943, 2094, 713, 666, 3819, 856, 519, 2030, 521, 269, 2142, 4294, 2899, 829, 3923, 543, 23679, 1058, 581, 2944, 950, 519, 535, 1716, 568, 15817, 24222, 799, 616, 1804, 267, 5258, 3762, 2953, 7777, 19518, 538, 22340, 2098, 2158, 547, 269, 9255, 519, 535, 1716, 538, 513, 2564, 4750, 689, 513, 13101, 23253, 679, 9047, 729, 3370, 538, 476, 3707, 274, 14450, 256, 1656, 1747, 707, 1101, 535, 1716, 538, 513, 20645, 540, 1216, 267, 950, 519, 535, 1716, 568, 21363, 1862, 4400, 11195, 267, 9793, 1216, 543, 17573, 13226, 513, 2560, 27653, 621, 538, 20919, 1862, 27016, 513, 1906, 3764, 585, 519, 661, 1186, 558, 6070, 7027, 281, 12181, 827, 661, 1186, 558, 6070, 585, 256, 4826, 543, 930, 661, 1186, 558, 20919, 538, 18168, 666, 849, 2628, 547, 536, 7752, 538, 1454, 267, 2362, 269, 1230, 13935, 16247, 267, 13101, 543, 824, 5567, 602, 5351, 538, 2635, 2030, 2208, 29537, 256, 21207, 564, 602, 596, 786, 581, 3768, 626, 32328, 585, 693, 2547, 476, 272, 2560, 1747, 519, 535, 1716, 538, 2119, 2810, 519, 543, 1862, 7720, 626, 855, 711, 22350, 6632, 4401, 865, 519, 2030, 476, 276, 268, 2899, 519, 661, 1186, 558, 6070, 538, 835, 540, 256, 3733, 7542, 985, 616, 6213, 547, 13226, 267, 2523, 952, 1031, 538, 513, 10036, 1494, 18795, 1862, 1280, 10130, 547, 8602, 1216, 6219, 602, 2306, 873, 3039, 12630, 538, 519, 27653, 543, 1287, 2647, 607, 519, 11313, 256, 22513, 1412, 338, 1216, 14117, 532, 18651, 1091, 593, 11255, 7542, 985, 1352, 849, 8255, 1200, 6197, 1862, 27100, 610, 7777, 585, 936, 476, 1220, 1296, 1107, 543, 609, 1434, 2601, 1039, 661, 1186, 558, 6070, 267, 15234, 12181, 18542, 29755, 2007, 513, 8559, 602, 568, 20898, 609, 24435, 21263, 535, 1716, 538, 519, 661, 1186, 558, 6070, 267, 12181, 269, 14117, 532, 18651, 1091, 593, 11255, 7542, 985, 267, 4789, 15596, 7542, 985, 616, 6213, 547, 13226, 267, 2523, 952, 1031, 538, 1818, 543, 256, 27752, 543, 1543, 2344, 518, 689, 909, 8063, 1007, 3840, 476, 16006, 7484, 540, 661, 1186, 558, 6070, 538, 835, 20645, 540, 543, 256, 2353, 12204, 540, 18717, 4431, 18991, 547, 519, 3636, 1216, 27422, 6505, 9940, 1769, 267, 1164, 11195, 267, 9793, 543, 256, 15486, 540, 14117, 532, 18651, 1091, 593, 11255, 7542, 985, 666, 581, 6225, 952, 621, 711, 269, 21964, 568, 2560, 661, 1186, 558, 6070, 538, 741, 1216, 616, 849, 1875, 1729, 13877, 543, 2922, 585, 10130, 616, 2356, 513, 1129, 936, 22476, 256, 910, 3842, 519, 18740, 4750, 8602, 786, 948, 11177, 13101, 543, 23253, 513, 547, 269, 15019, 2777, 8690, 513, 1880, 3693, 610, 7777, 519, 3952, 538, 519, 27653, 585, 827, 476, 736, 547, 476, 1789, 25008, 476, 1789, 2807, 1411, 616, 6382, 12391, 585, 707, 535, 1716, 538, 513, 2564, 4750, 689, 513, 13101, 23253, 679, 9047, 729, 3370, 538, 907, 1924, 752, 543, 1287, 568, 1271, 711, 547, 1747, 519, 535, 1716, 568, 513, 6505, 3039, 535, 1716, 1031, 607, 25695, 256, 2060, 1898, 3282, 568, 513, 6505, 3039, 535, 1716, 1031, 607, 513, 2777, 8690, 543, 849, 6738, 13964, 22340, 1862, 595, 2130, 585, 707, 535, 1716, 2899, 513, 3923, 602, 2337, 543, 23679, 1058, 581, 2944, 950, 519, 25815, 269, 16959, 856, 519, 2030, 6213, 547, 13226, 267, 2523, 952, 1031, 538, 4430, 1216, 269, 21733, 1600, 519, 2012, 1317, 621, 729, 4362, 538, 661, 1186, 558, 20919, 267, 5594, 15755, 3037, 661, 1186, 558, 6070, 1216, 12727, 12181, 827, 661, 1186, 558, 6070, 814, 5129, 606, 3742, 1909, 538, 519, 5377, 540, 707, 8685, 2196, 1862, 4024, 1118, 707, 7542, 985, 1522, 4324, 689, 519, 1840, 540, 661, 1186, 558, 6070, 547, 707, 5551, 2837, 27653, 621, 538, 20919, 256, 1677, 2220, 880, 621, 1472, 513, 3787, 547, 948, 2953, 7777, 19518, 267, 9793, 1216, 543, 1273, 3819, 24222, 1164, 11195, 267, 865, 519, 1318, 13226, 2306, 513, 3017, 538, 519, 27653, 543, 1287, 519, 1421, 13248, 883, 519, 27647, 1242, 19943, 543, 1747, 707, 1101, 535, 1716, 538, 949, 596, 269, 570, 2350, 515, 4451, 3279, 3738, 616, 1634, 585, 741, 18651, 1091, 267, 799, 568, 2147, 538, 5920, 547, 3349, 6070, 20645, 269, 2142, 6297, 5594, 15755, 3037, 30482, 1544, 1562, 543, 849, 3330, 2030, 1634, 607, 18156, 535, 1716, 543, 30823, 22519, 1515, 256, 570, 10943, 1662, 519, 16714, 543, 1152, 946, 538, 519, 7067, 540, 18495, 585, 936, 476, 1220, 1296, 1107, 543, 609, 2601, 1862, 24439, 513, 3017, 538, 519, 3037, 476, 274, 3952, 7381, 267, 543, 621, 3340, 9864, 3141, 547, 12094, 1862, 630, 570, 2350, 515, 4451, 3279, 3738, 616, 1634, 585, 741, 18651, 1091, 267, 799, 616, 1804, 267, 5258, 23511, 476, 273, 26486, 883, 476, 272, 20645, 540, 1216, 543, 930, 661, 1186, 558, 20919, 538, 18168, 666, 849, 909, 256, 1677, 2208, 538, 30482, 1544, 1562, 875, 1279, 547, 27653, 7542, 985, 538, 552, 1186, 558, 6070, 849, 6738, 13964, 538, 22340, 2098, 2158, 476, 279, 547, 23511, 28731, 1582, 25252, 11797, 543, 2182, 1465, 4054, 2593, 6811, 602, 7542, 985, 723, 1044, 593, 3047, 585, 811, 982, 476, 12573, 1296, 1862, 645, 7867, 29649, 5614, 693, 661, 1186, 558, 538, 5080, 9445, 267, 4789, 1216, 630, 29691, 519, 890, 6277, 956, 3738, 2864, 538, 256, 4934, 543, 540, 519, 1216, 547, 707, 5551, 2837, 22890, 593, 1283, 540, 519, 2679, 7161, 12518, 547, 256, 630, 8940, 4732, 11548, 325, 337, 643, 565, 640, 2593, 3738, 581, 12630, 538, 519, 5377, 540, 707, 8685, 543, 2196, 519, 1216, 630, 29691, 519, 890, 6277, 956, 2864, 1862, 4112, 1622, 602, 661, 1186, 558, 6070, 538, 513, 3099, 540, 29972, 3871, 547, 948, 513, 2030, 1634, 607, 25695, 256, 2060, 3636, 1216, 585, 827, 476, 736, 547, 476, 1789, 25008, 540, 1416, 666, 581, 12630, 519, 256, 4495, 519, 661, 1186, 558, 6070, 547, 707, 5551, 2837, 1804, 267, 5258, 3762, 3262, 3606, 7542, 985, 476, 273, 6306, 1862, 1744, 1228, 12567, 12567, 12518, 5600, 12518, 29597, 518, 29972, 29972, 9669, 30482, 12518, 30482, 25052, 11785, 2807, 2098, 2158, 476, 280, 268, 1556, 543, 568, 1134, 25252, 1243, 547, 2208, 538, 30482, 1544, 1562, 543, 849, 6738, 13964, 22340, 256, 24872, 1216, 616, 7432, 6960, 267, 596, 666, 2030, 707, 535, 1716, 2899, 513, 3923, 585, 476, 1789, 547, 476, 2568, 7466, 1862, 1656, 1273, 1200, 3819, 267, 476, 1001, 271, 476, 271, 1336, 713, 5363, 3054, 538, 606, 661, 1186, 558, 6070, 6404, 741, 269, 32243, 6306, 543, 1039, 827, 476, 273, 6279, 540, 3037, 5848, 855, 711, 875, 1279, 547, 27653, 7542, 985, 538, 552, 1186, 558, 6070, 6632, 610, 256, 5484, 1030, 2772, 952, 621, 11313, 521, 3597, 3440, 1216, 2394, 621, 11313, 521, 3597, 3440, 2635, 2030, 2208, 707, 543, 269, 3590, 1317, 789, 666, 581, 6225, 952, 621, 11313, 521, 3597, 3440, 2053, 829, 3018, 827, 256, 1358, 4782, 9864, 547, 2407, 12094, 8285, 535, 1716, 267, 8285, 535, 1716, 267, 8285, 535, 1716, 267, 8285, 11783, 476, 6507, 24762, 267, 476, 272, 267, 4792, 275, 22227, 9948, 4873, 476, 276, 267, 476, 1001, 271, 476, 271, 1336, 713, 5363, 891, 666, 12630, 1862, 8347, 3001, 519, 2030, 476, 273, 26486, 883, 476, 272, 20645, 540, 1216, 267, 950, 519, 568, 269, 1772, 1271, 711, 547, 1747, 519, 3952, 1134, 3544, 267, 1519, 519, 535, 1716, 256, 6129, 14315, 543, 15319, 6091, 2048, 11785, 16772, 529, 11313, 568, 513, 5856, 543, 1543, 2344, 518, 689, 1007, 256, 8073, 707, 661, 1186, 558, 6070, 538, 741, 1216, 568, 711, 2556, 267, 1498, 621, 949, 6225, 256, 2060, 24435, 21263, 2907, 2995, 513, 3017, 538, 519, 2038, 5614, 2899, 519, 661, 1186, 558, 8602, 1862, 1280, 3968, 543, 17343, 1494, 1657, 519, 1216, 547, 707, 535, 1716, 5265, 267, 713, 568, 563, 11390, 320, 1530, 520, 2353, 582, 618, 476, 1708, 271, 267, 5178, 523, 10202, 28523, 625, 1280, 22312, 2480, 267, 1744, 597, 537, 25966, 2506, 31843, 267, 3776, 15248, 2986, 6778, 25844, 601, 3427, 715, 329, 267, 12844, 2561, 18863, 527, 31201, 344, 26560, 590, 19281, 267, 623, 879, 1849, 17064, 19881, 5729, 7726, 14430, 267, 595, 1690, 684, 17897, 532, 25548, 328, 267, 1744, 559, 11985, 932, 7596, 327, 776, 17749, 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 ]

[ 0, 2026, 596, 2263, 707, 1007, 10450, 267, 649, 1616, 547, 948, 596, 3605, 835, 540, 8103, 781, 1034, 1898, 1983, 281, 21363, 269, 8786, 267, 596, 1224, 602, 1318, 1107, 11005, 568, 513, 4105, 851, 540, 1373, 1480, 2439, 1103, 713, 3102, 3391, 267, 649, 3513, 3802, 596, 998, 1169, 2460, 540, 834, 516, 2000, 1314, 268, 532, 2437, 689, 1620, 1018, 621, 1797, 547, 13215, 519, 2553, 269, 5213, 1405, 5855, 952, 930, 2035, 3100, 14542, 282, 649, 4312, 3893, 596, 4988, 609, 2312, 3137, 543, 1900, 8386, 9912, 5528, 780, 1262, 3721, 476, 272, 281, 4197, 4039, 1314, 566, 4373, 9824, 1314, 566, 4016, 547, 513, 1533, 540, 2247, 543, 1560, 1141, 596, 1745, 9350, 267, 12560, 267, 543, 1863, 689, 8082, 610, 2566, 269, 5994, 13735, 9900, 593, 513, 6531, 267, 1510, 1022, 19048, 610, 4145, 20604, 596, 1524, 269, 2334, 781, 10199, 1018, 3425, 2832, 585, 950, 789, 6001, 2439, 2414, 2253, 267, 1577, 781, 12172, 930, 4909, 3344, 1384, 265, 2878, 289, 805, 3107, 5093, 18972, 13236, 2011, 883, 741, 9641, 1210, 741, 5023, 543, 9224, 269, 1879, 17159, 267, 7244, 3587, 14887, 543, 4514, 563, 265, 2878, 15404, 3380, 5093, 2659, 6091, 616, 899, 8465, 12673, 3330, 707, 1560, 269, 1879, 13029, 267, 789, 4579, 630, 1326, 10156, 5148, 950, 17159, 267, 789, 5305, 630, 331, 1263, 6533, 1916, 265, 2878, 15987, 1206, 5093, 5274, 8186, 666, 32603, 267, 2870, 4555, 267, 4664, 267, 543, 4606, 269, 769, 11005, 7154, 267, 891, 2790, 2238, 3500, 1524, 267, 3850, 596, 547, 7938, 785, 780, 3086, 267, 5196, 519, 1187, 851, 2439, 1262, 3721, 476, 273, 281, 15531, 513, 1290, 13025, 19024, 4373, 24109, 753, 1419, 1694, 610, 9114, 1524, 547, 6001, 269, 1411, 1522, 991, 547, 4603, 609, 1114, 7158, 2394, 596, 1265, 1018, 1568, 1655, 585, 596, 269, 3371, 781, 875, 547, 2119, 873, 856, 1384, 320, 269, 2878, 306, 9231, 26279, 453, 266, 4855, 513, 19756, 1843, 609, 513, 6366, 2627, 267, 971, 607, 513, 11381, 610, 14541, 563, 453, 266, 28528, 2539, 3054, 5196, 519, 10160, 267, 5329, 707, 1394, 2786, 563, 453, 266, 17797, 707, 7953, 865, 789, 2811, 6899, 267, 2901, 18761, 693, 519, 19704, 610, 21401, 856, 1354, 596, 563, 321, 269, 2878, 299, 3539, 13560, 26279, 453, 266, 10576, 513, 2571, 267, 24302, 16845, 1858, 267, 899, 513, 5127, 610, 4172, 577, 563, 453, 266, 28392, 556, 743, 710, 5196, 519, 2627, 267, 5885, 707, 2212, 609, 513, 10788, 578, 610, 31289, 952, 2877, 563, 453, 266, 2913, 707, 7916, 1964, 22290, 596, 610, 1747, 873, 2066, 707, 9221, 780, 8855, 267, 4313, 568, 1883, 256, 1403, 596, 1810, 1405, 1745, 18241, 267, 4188, 707, 2990, 9935, 780, 1262, 3721, 476, 274, 281, 10753, 657, 2287, 5455, 8409, 4053, 3380, 4373, 11742, 547, 8897, 1346, 4887, 12673, 2439, 320, 269, 2878, 19675, 619, 26279, 453, 266, 24305, 707, 17525, 4464, 543, 18807, 538, 1507, 10580, 630, 12671, 476, 276, 268, 278, 2053, 1040, 901, 2337, 3138, 4923, 909, 9395, 1145, 563, 453, 266, 24793, 1022, 6967, 8082, 676, 15603, 707, 17525, 5323, 641, 5594, 18746, 563, 321, 269, 2878, 10468, 1188, 543, 10361, 26279, 453, 266, 20405, 569, 28550, 707, 2212, 547, 519, 2451, 267, 8744, 707, 1274, 2509, 707, 13105, 269, 15579, 585, 476, 1015, 7643, 563, 453, 266, 19244, 593, 519, 1318, 2427, 563, 453, 266, 14190, 707, 8405, 547, 6001, 267, 4743, 519, 2597, 540, 707, 2212, 6462, 676, 707, 12636, 563, 322, 269, 2878, 6635, 916, 543, 24732, 26279, 453, 266, 700, 3424, 1312, 7916, 1657, 707, 2212, 267, 15198, 11263, 4724, 519, 18109, 563, 453, 266, 13722, 707, 7916, 7444, 267, 16089, 1022, 20765, 563, 453, 266, 654, 24513, 548, 707, 11263, 14350, 267, 1287, 1927, 267, 547, 21199, 1055, 29886, 8082, 563, 323, 269, 2878, 26765, 338, 543, 32243, 26279, 453, 266, 645, 754, 707, 19704, 5594, 267, 1287, 8831, 873, 1586, 269, 19244, 1896, 2053, 563, 453, 266, 15585, 622, 707, 17094, 956, 29628, 543, 4831, 22018, 3772, 630, 12671, 476, 276, 268, 278, 32186, 6393, 2026, 596, 960, 998, 891, 5751, 267, 1445, 593, 15603, 979, 540, 1022, 8833, 610, 6551, 7190, 269, 18461, 707, 6091, 7938, 4193, 267, 4742, 29779, 543, 811, 726, 4192, 2496, 1262, 3721, 476, 275, 281, 2836, 2719, 519, 9650, 4373, 2005, 781, 942, 547, 9602, 602, 11112, 2634, 540, 16523, 2439, 320, 269, 2878, 28308, 22165, 3107, 26279, 453, 266, 19171, 707, 4064, 630, 604, 596, 10093, 1405, 2907, 264, 543, 1491, 513, 2620, 7362, 538, 998, 707, 9224, 563, 453, 266, 19130, 707, 9641, 4628, 267, 10203, 3623, 1836, 547, 2185, 563, 453, 266, 1401, 327, 1446, 7444, 998, 707, 5023, 267, 7962, 3539, 707, 9641, 4625, 267, 1247, 10203, 547, 3670, 563, 453, 266, 19244, 713, 4783, 1896, 2053, 267, 2519, 593, 519, 14815, 540, 25312, 563, 321, 269, 2878, 26045, 5940, 10330, 26279, 453, 266, 10439, 1125, 513, 32668, 1604, 267, 899, 513, 11824, 610, 4104, 1350, 1228, 267, 11423, 707, 12823, 609, 22196, 24738, 267, 4992, 267, 543, 24462, 563, 453, 266, 19415, 547, 25695, 2575, 610, 2470, 4992, 267, 3850, 519, 23964, 547, 11547, 936, 596, 563, 453, 266, 8125, 1836, 10956, 9543, 14751, 725, 267, 971, 607, 834, 296, 993, 2922, 2437, 834, 296, 993, 17159, 2437, 610, 834, 5472, 568, 1134, 3010, 3528, 1631, 267, 596, 1058, 581, 4358, 547, 1745, 513, 2631, 540, 22471, 1006, 10825, 2429, 707, 3003, 1373, 2439, 1262, 289, 517, 639, 9669, 16001, 265, 1677, 3986, 11005, 267, 2015, 9427, 19240, 899, 5907, 3457, 610, 4466, 513, 9602, 2230, 2476, 689, 10978, 21089, 563, 265, 15331, 609, 11636, 4887, 11005, 267, 9937, 532, 1808, 2127, 630, 3697, 19462, 610, 1608, 1407, 264, 1354, 16089, 873, 563, 265, 8347, 6220, 1085, 757, 2404, 609, 11005, 267, 971, 607, 32175, 610, 29877, 267, 998, 22250, 267, 1651, 1619, 267, 610, 1898, 11041, 780, 23558, 267, 3659, 256, 1411, 4312, 3144, 707, 1101, 3268, 2509, 8508, 519, 8748, 1158, 540, 11005, 256, 5457, 267, 2259, 2306, 3501, 267, 865, 1832, 3695, 543, 17975, 707, 556, 2000, 1314, 268, 532, 2553, 780, 31917, 21363, 267, 543, 10950, 547, 938, 5863, 4541, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 3725, 561, 1314, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 14297, 4884, 3957, 700, 29837, 267, 5030, 1079, 1762, 3744, 910, 15039, 267, 606, 25981, 7762, 534, 626, 267, 543, 7665, 267, 513, 8049, 21997, 269, 5637, 941, 19832, 676, 519, 13300, 540, 2470, 855, 14059, 621, 689, 1114, 7285, 282, 15039, 6068, 4974, 2371, 1247, 7665, 729, 27278, 676, 1769, 780, 3080, 13566, 1554, 267, 789, 4956, 547, 12840, 593, 1620, 875, 15591, 1568, 543, 1018, 5540, 922, 2557, 269, 1358, 3323, 1055, 741, 3408, 31113, 896, 519, 3636, 7943, 267, 1142, 8744, 2189, 5380, 547, 519, 3349, 780, 299, 1176, 6045, 267, 834, 3383, 267, 15591, 568, 899, 5986, 256, 12518, 10110, 1769, 1648, 267, 2523, 689, 28060, 513, 543, 536, 267, 1175, 607, 596, 9364, 991, 3002, 585, 11256, 4799, 16655, 21330, 24617, 1354, 4946, 267, 834, 6546, 781, 4277, 1317, 711, 782, 8279, 616, 3160, 269, 1280, 3236, 267, 938, 2978, 22311, 1810, 1405, 2285, 519, 1482, 2164, 1256, 952, 789, 723, 519, 1482, 1379, 4259, 1813, 547, 3604, 538, 8552, 3010, 2026, 789, 4797, 741, 4901, 267, 789, 7691, 602, 1932, 1454, 1412, 17742, 262, 610, 7920, 1769, 1223, 2800, 519, 10347, 3666, 2877, 585, 6099, 15591, 269, 898, 18056, 873, 540, 1004, 945, 7903, 2933, 1932, 2182, 1510, 1964, 267, 5555, 3056, 547, 25794, 269, 5927, 987, 1944, 609, 713, 9183, 267, 789, 8815, 593, 519, 2956, 540, 1582, 13282, 543, 4509, 513, 2635, 3666, 1063, 4674, 543, 6051, 780, 5445, 849, 4362, 602, 3327, 8166, 2157, 6766, 519, 3432, 540, 15591, 269, 2859, 2910, 273, 5921, 5488, 2504, 540, 7280, 267, 22348, 873, 540, 519, 5683, 14196, 8103, 8188, 2221, 3823, 8511, 9362, 269, 3414, 713, 7828, 267, 789, 4718, 519, 4644, 540, 4227, 5434, 543, 2810, 10338, 2409, 30396, 780, 4913, 267, 1919, 3576, 606, 6397, 2490, 950, 741, 4603, 3893, 856, 540, 1688, 269, 769, 3843, 547, 11694, 1769, 8515, 267, 789, 18417, 20358, 539, 519, 17689, 267, 4929, 3441, 547, 930, 19155, 269, 1744, 18088, 676, 1018, 5949, 267, 789, 4121, 20250, 827, 26516, 4539, 543, 3743, 3621, 2259, 780, 20442, 1590, 3314, 2437, 1767, 15039, 18205, 569, 267, 834, 7474, 1702, 2501, 609, 5539, 269, 3776, 5079, 1764, 1346, 1472, 721, 267, 2436, 2047, 610, 18549, 4799, 16655, 21330, 267, 3168, 14436, 269, 834, 8133, 267, 649, 1058, 2141, 2015, 1761, 4220, 543, 1491, 2556, 15416, 3010, 8601, 519, 32657, 777, 267, 741, 1788, 8694, 9797, 269, 2060, 6297, 8343, 543, 2079, 267, 789, 7307, 547, 5531, 3407, 1239, 827, 519, 2360, 540, 1585, 2188, 593, 15591, 3928, 269, 4256, 5698, 2968, 513, 15266, 547, 2500, 16542, 543, 8994, 2463, 5103, 18312, 6791, 267, 18445, 602, 4763, 11942, 5647, 543, 2208, 780, 1103, 3932, 267, 1565, 827, 15591, 6026, 15039, 543, 7665, 1271, 1272, 4245, 269, 3245, 1620, 519, 13766, 540, 3666, 547, 14344, 519, 2597, 540, 5539, 267, 891, 1762, 3744, 22993, 6568, 267, 7881, 267, 543, 1966, 9010, 1983, 1898, 585, 3025, 267, 7488, 540, 2085, 610, 3924, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 1281, 519, 1184, 540, 15591, 960, 267, 543, 1018, 2188, 666, 1860, 519, 2557, 540, 713, 1184, 538, 2371, 888, 21900, 657, 11853, 568, 519, 1184, 676, 799, 2371, 267, 13479, 267, 543, 930, 4551, 6460, 1769, 1648, 883, 3114, 1648, 538, 519, 1106, 540, 7280, 269, 634, 1184, 4386, 538, 8392, 6955, 6814, 267, 1507, 31759, 538, 2030, 2281, 602, 2270, 28060, 780, 763, 2596, 1184, 540, 15591, 666, 581, 24298, 607, 5205, 1384, 272, 269, 8752, 1648, 568, 12842, 676, 23416, 538, 8392, 6955, 6814, 267, 3226, 28060, 513, 543, 536, 563, 273, 269, 901, 1648, 568, 1031, 547, 8237, 1216, 6675, 883, 7250, 12274, 630, 295, 266, 264, 543, 5135, 3154, 630, 302, 273, 1916, 274, 269, 634, 7250, 12274, 543, 3327, 8166, 630, 4596, 273, 264, 9192, 547, 1106, 7280, 630, 290, 277, 295, 1321, 302, 277, 264, 543, 1216, 630, 295, 273, 302, 1916, 275, 269, 27488, 568, 5950, 607, 513, 3653, 1587, 780, 26502, 602, 666, 1860, 519, 2557, 540, 15591, 538, 2371, 1331, 1384, 272, 269, 8752, 8515, 281, 16071, 11853, 3340, 1769, 267, 865, 607, 1769, 8515, 4679, 267, 865, 1281, 519, 2557, 540, 15591, 269, 1717, 267, 693, 1164, 1769, 14556, 885, 267, 519, 2030, 666, 1831, 8697, 267, 865, 972, 1775, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 296, 6415, 6126, 547, 2743, 596, 543, 6338, 596, 547, 938, 4541, 3047, 269, 594, 1294, 596, 616, 5461, 538, 1565, 827, 2831, 543, 741, 2623, 269, 2913, 803, 2995, 596, 513, 1650, 827, 30539, 742, 525, 543, 875, 649, 1353, 873, 1210, 11976, 267, 2147, 547, 1018, 729, 5018, 538, 519, 2546, 1349, 596, 3838, 4505, 780, 294, 4275, 742, 525, 616, 7381, 7068, 609, 1279, 683, 4242, 602, 2661, 593, 2244, 267, 4481, 538, 4000, 269, 1358, 1847, 1472, 676, 6972, 543, 4881, 593, 782, 2185, 338, 899, 1082, 824, 2185, 6122, 13949, 2831, 798, 1934, 593, 3047, 269, 9521, 3425, 945, 3802, 20005, 593, 1079, 7953, 267, 649, 2831, 2356, 7048, 593, 2185, 17873, 585, 21525, 10056, 780, 3086, 1577, 803, 2671, 930, 4241, 5013, 827, 30539, 11738, 1514, 2497, 543, 2623, 998, 707, 1719, 538, 11976, 269, 3807, 607, 519, 2376, 14437, 827, 4262, 21495, 267, 3744, 849, 4983, 519, 5027, 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 ]

[ 2018, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 278, 267, 476, 274, 267, 887, 758, 303, 19991, 994, 2018, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 278, 267, 271, 994, 2018, 1582, 269, 13765, 2690, 13425, 4590, 2018, 952, 1582, 3052, 877, 10947, 310, 13425, 3890, 2652, 12148, 912, 3546, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 278, 267, 271, 267, 549, 758, 303, 19991, 994, 3546, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 278, 267, 274, 994, 3546, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 12328, 303, 3789, 312, 267, 4062, 303, 3789, 311, 267, 1847, 303, 19991, 994, 3546, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 278, 267, 273, 994, 3546, 2132, 8771, 692, 1038, 8640, 1496, 332, 913, 303, 3789, 312, 31599, 913, 303, 3789, 311, 316, 2652, 314, 278, 267, 277, 14158, 2018, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 278, 267, 476, 277, 267, 1847, 303, 19991, 994, 2018, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 12328, 303, 3789, 312, 267, 12328, 303, 3789, 311, 994, 2018, 887, 758, 303, 19991, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 263, 278, 267, 476, 278, 994, 2018, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 278, 267, 476, 276, 267, 887, 758, 303, 19991, 994, 2018, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 278, 267, 278, 994, 2018, 952, 1582, 3052, 877, 10947, 310, 13425, 3890, 2652, 12148, 912, 3546, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 278, 267, 278, 267, 549, 758, 303, 19991, 994, 3546, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 278, 267, 276, 994, 3546, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 12328, 303, 3789, 312, 267, 4062, 303, 3789, 311, 267, 1847, 303, 19991, 994, 3546, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 278, 267, 277, 994, 3546, 2132, 8771, 692, 1038, 8640, 1496, 332, 913, 303, 3789, 312, 31599, 913, 303, 3789, 311, 316, 2652, 314, 271, 267, 273, 14158, 2018, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 271, 267, 476, 273, 267, 1847, 303, 19991, 994, 2018, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 12328, 303, 3789, 312, 267, 12328, 303, 3789, 311, 994, 2018, 887, 758, 303, 19991, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 263, 271, 267, 476, 271, 994, 2018, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 271, 267, 476, 274, 267, 887, 758, 303, 19991, 994, 2018, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 271, 267, 271, 994, 2018, 952, 1582, 3052, 877, 10947, 6195, 515, 1188, 3890, 2652, 12148, 912, 3546, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 271, 267, 271, 267, 549, 758, 303, 19991, 994, 3546, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 271, 267, 274, 994, 3546, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 12328, 303, 3789, 312, 267, 4062, 303, 3789, 311, 267, 1847, 303, 19991, 994, 3546, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 271, 267, 273, 994, 3546, 2132, 8771, 692, 1038, 8640, 1496, 332, 913, 303, 3789, 312, 31599, 913, 303, 3789, 311, 316, 2652, 314, 271, 267, 277, 14158, 2018, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 271, 267, 277, 267, 1847, 303, 19991, 994, 2018, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 12328, 303, 3789, 312, 267, 12328, 303, 3789, 311, 994, 2018, 887, 758, 303, 19991, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 263, 271, 267, 476, 278, 994, 2018, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 271, 267, 476, 276, 267, 887, 758, 303, 19991, 994, 2018, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 271, 267, 277, 994, 2018, 952, 1582, 3052, 877, 10947, 6195, 515, 1188, 3890, 2652, 12148, 912, 3546, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 271, 267, 277, 267, 549, 758, 303, 19991, 994, 3546, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 271, 267, 276, 994, 3546, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 12328, 303, 3789, 312, 267, 4062, 303, 3789, 311, 267, 1847, 303, 19991, 994, 3546, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 271, 267, 277, 994, 3546, 2132, 8771, 454, 1038, 2132, 6936, 692, 825, 1219, 1205, 11795, 2159, 31161, 4311, 267, 16651, 8624, 712, 2187, 1038, 1948, 19686, 547, 1205, 513, 2352, 1847, 585, 519, 2352, 3642, 6345, 269, 3097, 1038, 1948, 12895, 31161, 5575, 291, 3704, 1592, 8637, 1239, 827, 519, 1655, 1847, 1210, 519, 1101, 3178, 269, 3097, 1038, 1655, 31161, 5575, 291, 3704, 815, 1496, 271, 2639, 1038, 1948, 12895, 31161, 13553, 291, 3704, 1592, 8637, 1239, 827, 519, 1655, 1847, 3168, 835, 1847, 6619, 1210, 519, 2034, 3178, 269, 3097, 1038, 1655, 31161, 13553, 291, 3704, 815, 1496, 271, 2639, 1038, 1948, 20777, 12648, 1630, 18978, 8637, 2436, 513, 4062, 666, 581, 3144, 593, 519, 5716, 2490, 269, 3097, 1038, 4570, 12648, 815, 8771, 454, 1038, 1948, 296, 614, 622, 998, 1169, 4009, 593, 519, 4604, 912, 1038, 585, 962, 538, 2039, 263, 279, 2187, 2018, 585, 2473, 538, 2039, 263, 279, 2187, 3546, 4062, 4002, 306, 13645, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 263, 312, 267, 311, 994, 3546, 1948, 13425, 2436, 972, 568, 513, 4062, 593, 519, 4009, 543, 2436, 621, 568, 519, 1482, 7990, 607, 519, 6345, 269, 22322, 3546, 952, 4062, 4002, 306, 13645, 11203, 3269, 543, 4062, 4002, 306, 13645, 10947, 8624, 712, 3890, 2652, 6345, 8624, 712, 912, 7386, 1948, 7476, 782, 540, 519, 4570, 7575, 540, 602, 6345, 269, 3097, 7386, 4570, 306, 638, 4100, 267, 4570, 12648, 306, 638, 4100, 267, 14500, 300, 7174, 267, 679, 27879, 656, 300, 7174, 815, 1582, 10947, 303, 19991, 13707, 300, 7174, 263, 12328, 4002, 306, 13645, 267, 16651, 8624, 712, 267, 312, 267, 311, 994, 7386, 1948, 296, 614, 622, 998, 782, 540, 519, 4570, 1491, 10945, 912, 7386, 585, 1775, 538, 4570, 12648, 306, 638, 4100, 912, 13376, 1948, 7476, 519, 4062, 602, 1131, 581, 3144, 607, 513, 1267, 540, 519, 1847, 912, 13376, 1491, 303, 19991, 4002, 306, 13645, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 9217, 314, 271, 3910, 328, 314, 272, 7481, 13376, 1948, 13425, 2436, 519, 4062, 602, 1131, 581, 3144, 568, 10691, 519, 3751, 269, 3097, 13376, 952, 1491, 303, 19991, 4002, 306, 13645, 10947, 303, 19991, 3890, 256, 6889, 21914, 13426, 23351, 1948, 7476, 519, 6268, 6060, 540, 519, 4062, 1210, 519, 1547, 1326, 24066, 6672, 30360, 3890, 1505, 540, 519, 21802, 303, 19991, 1362, 269, 3097, 23351, 4062, 24066, 6672, 30360, 815, 1491, 303, 19991, 4002, 306, 13645, 10947, 24066, 6672, 30360, 4590, 23351, 1948, 13729, 519, 1434, 31161, 1630, 18978, 3160, 547, 6936, 269, 3097, 23351, 1434, 31161, 815, 6936, 454, 23351, 10917, 303, 19991, 273, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 9217, 314, 271, 3910, 328, 314, 272, 7481, 23351, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 9217, 314, 271, 3910, 328, 314, 272, 3910, 4062, 4002, 306, 13645, 994, 23351, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 312, 267, 311, 994, 23351, 1948, 7476, 519, 17837, 2698, 4570, 10945, 269, 3097, 23351, 952, 6345, 8624, 712, 2652, 257, 342, 13426, 4449, 3546, 18545, 13707, 11749, 573, 306, 638, 4100, 267, 18545, 13707, 11749, 573, 12648, 306, 638, 4100, 267, 14500, 300, 7174, 267, 679, 27879, 656, 300, 7174, 815, 1582, 3052, 877, 10947, 13707, 32156, 300, 7174, 2891, 321, 5602, 23351, 3116, 912, 4449, 3546, 18545, 13707, 11749, 573, 306, 638, 4100, 267, 18545, 13707, 11749, 573, 12648, 306, 638, 4100, 267, 14500, 300, 7174, 267, 679, 27879, 656, 300, 7174, 815, 1582, 3052, 877, 10947, 13707, 32156, 300, 7174, 2891, 342, 15419, 23351, 1948, 296, 614, 622, 998, 1566, 9426, 13707, 11749, 573, 306, 638, 4100, 563, 23351, 585, 737, 538, 18545, 13707, 11749, 573, 12648, 306, 638, 4100, 912, 4449, 3546, 4062, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 17347, 314, 271, 3910, 737, 314, 272, 7481, 4449, 3546, 952, 4062, 2652, 4062, 4002, 306, 13645, 912, 4449, 7386, 1434, 31161, 815, 8771, 692, 23351, 1948, 31161, 519, 4773, 1394, 454, 23351, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 9217, 314, 271, 3910, 328, 314, 272, 7481, 23351, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 263, 312, 267, 311, 267, 12328, 4002, 306, 13645, 994, 23351, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 9217, 314, 271, 3910, 328, 314, 272, 3910, 31184, 303, 19991, 273, 994, 23351, 1948, 2252, 519, 1655, 31161, 5575, 291, 3704, 1592, 568, 8900, 267, 1039, 713, 1847, 547, 621, 563, 23351, 4570, 12648, 815, 6936, 454, 23351, 952, 1655, 31161, 5575, 291, 3704, 2652, 1496, 14158, 4449, 3546, 1655, 31161, 5575, 291, 3704, 815, 1496, 12328, 24066, 6672, 30360, 267, 4062, 4002, 306, 13645, 267, 962, 267, 2473, 267, 1775, 314, 271, 3910, 1775, 314, 272, 316, 6540, 23351, 3116, 912, 4449, 3546, 10917, 16032, 31161, 815, 1496, 12328, 24066, 6672, 30360, 267, 4062, 4002, 306, 13645, 267, 962, 267, 2473, 267, 1775, 314, 271, 3910, 1775, 314, 272, 27663, 4449, 3546, 1948, 2252, 713, 1847, 568, 1732, 982, 519, 1847, 2907, 6740, 538, 519, 1655, 31161, 5575, 291, 3704, 1592, 267, 1287, 5372, 621, 609, 519, 1007, 1847, 563, 4449, 3546, 952, 10917, 16032, 31161, 314, 271, 316, 3436, 1655, 31161, 5575, 291, 3704, 314, 271, 14158, 4449, 7386, 1655, 31161, 5575, 291, 3704, 815, 10917, 16032, 31161, 692, 7386, 1948, 296, 614, 622, 998, 20231, 540, 519, 4570, 7575, 585, 1169, 4062, 281, 3097, 7386, 585, 1775, 538, 4570, 306, 638, 4100, 281, 3097, 13376, 1948, 31161, 519, 4062, 454, 13376, 952, 1582, 3052, 877, 18994, 306, 13645, 10387, 27679, 9217, 314, 271, 3910, 328, 314, 272, 8079, 2652, 8771, 912, 23351, 1582, 3052, 877, 31927, 303, 19991, 5804, 306, 13645, 263, 312, 267, 311, 994, 23351, 1948, 1805, 648, 519, 4062, 602, 1131, 581, 3144, 896, 519, 4756, 2012, 10917, 303, 19991, 563, 23351, 10917, 303, 19991, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 9217, 314, 271, 3910, 328, 314, 272, 7481, 13376, 3116, 912, 23351, 10917, 303, 19991, 815, 834, 5016, 13376, 1948, 7476, 519, 4570, 306, 638, 4100, 543, 4570, 12648, 306, 638, 4100, 540, 519, 4062, 538, 922, 1007, 2990, 269, 3097, 13376, 1582, 3052, 877, 14491, 303, 19991, 2414, 306, 13645, 9217, 314, 271, 3910, 328, 314, 272, 3910, 12328, 4002, 306, 13645, 994, 13376, 4570, 306, 638, 4100, 291, 3704, 10521, 267, 4570, 12648, 306, 638, 4100, 291, 3704, 10521, 267, 14500, 300, 7174, 267, 679, 27879, 656, 300, 7174, 815, 1582, 10947, 303, 19991, 13707, 300, 7174, 263, 12328, 4002, 306, 13645, 267, 16651, 8624, 712, 267, 328, 314, 271, 3910, 328, 314, 272, 7481, 13376, 1948, 296, 614, 622, 998, 519, 4570, 12648, 306, 638, 4100, 291, 3704, 10521, 1592, 269, 3097, 13376, 585, 795, 538, 4570, 12648, 306, 638, 4100, 291, 3704, 10521, 912, 23351, 1948, 7476, 519, 4062, 602, 1131, 581, 3144, 607, 513, 1267, 540, 519, 1847, 543, 4558, 538, 4756, 1491, 303, 19991, 4002, 306, 13645, 269, 3097, 23351, 1491, 303, 19991, 4002, 306, 13645, 815, 1582, 3052, 877, 10947, 303, 19991, 4002, 306, 13645, 27203, 314, 271, 3910, 329, 314, 272, 7481, 23351, 952, 1491, 303, 19991, 4002, 306, 13645, 256, 284, 3269, 543, 1491, 303, 19991, 4002, 306, 13645, 10947, 303, 19991, 3890, 256, 6889, 21914, 13426, 4449, 3546, 1948, 7476, 519, 6268, 6060, 540, 519, 3144, 4062, 1210, 519, 1547, 1326, 24066, 6672, 30360, 3890, 1505, 540, 519, 21802, 303, 19991, 1362, 563, 4449, 3546, 4062, 24066, 6672, 30360, 815, 1491, 303, 19991, 4002, 306, 13645, 10947, 24066, 6672, 30360, 4590, 4449, 3546, 1948, 13729, 519, 1434, 31161, 1630, 18978, 3160, 547, 6936, 269, 3097, 4449, 3546, 1434, 31161, 815, 6936, 454, 4449, 3546, 10917, 303, 19991, 273, 815, 1582, 3052, 877, 10947 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 600, 340, 267, 29422, 284, 3863, 17750, 14061, 20889, 3488, 30386, 604, 993, 340, 269, 21639, 3890, 2525, 29422, 269, 21639, 10031, 476, 1820, 3488, 13433, 5073, 12828, 912, 476, 1820, 3488, 7224, 5073, 0, 2459, 340, 815, 703, 263, 3863, 17750, 15405, 629, 6062, 815, 1496, 842, 3287, 264, 585, 1535, 538, 6151, 17750, 14061, 20889, 2891, 834, 264, 6540, 8999, 815, 476, 271, 454, 1721, 1535, 538, 705, 6062, 912, 453, 8999, 6834, 1535, 692, 2745, 4433, 636, 1315, 993, 14153, 994, 0, 2459, 340, 284, 4289, 263, 3863, 17750, 2891, 27363, 604, 7003, 263, 2459, 340, 264, 2525, 263, 2459, 340, 29644, 3488, 271, 10807, 266, 2459, 340, 29644, 3488, 272, 10807, 2187, 476, 1820, 2891, 13433, 5602, 12828, 281, 3097, 476, 1820, 2891, 7224, 5602, 0, 604, 2040, 9852, 777, 17301, 267, 3863, 17750, 2891, 20257, 20889, 2891, 834, 30727, 260, 273, 2525, 271, 912, 825, 1820, 2891, 16838, 5602, 12828, 912, 476, 1820, 2891, 15957, 5602, 0, 600, 340, 284, 3863, 17750, 2891, 5602, 753, 284, 5257, 454, 1721, 1535, 538, 993, 340, 912, 14851, 1535, 18994, 12294, 10031, 453, 453, 753, 284, 753, 21147, 269, 21639, 4590, 453, 19197, 1535, 18994, 21639, 10031, 453, 453, 753, 284, 753, 21147, 31573, 4590, 2745, 263, 753, 994, 0, 2459, 340, 25507, 263, 3863, 17750, 15405, 629, 6062, 284, 271, 454, 1721, 1775, 538, 2039, 263, 272, 267, 2459, 340, 2187, 476, 952, 993, 14153, 260, 328, 2525, 271, 912, 825, 705, 6062, 284, 328, 454, 604, 705, 6062, 285, 272, 912, 476, 1820, 18011, 13433, 5073, 12828, 912, 476, 1820, 18011, 7224, 5073, 0, 600, 745, 25507, 9272, 2891, 27363, 341, 2086, 284, 600, 745, 454, 341, 12541, 284, 271, 454, 6112, 263, 600, 745, 285, 271, 2187, 476, 2007, 284, 600, 745, 260, 1015, 454, 476, 642, 12541, 284, 341, 12541, 265, 1015, 266, 21745, 454, 476, 993, 745, 284, 600, 745, 2260, 1015, 454, 604, 17635, 2086, 2525, 341, 12541, 2187, 476, 1820, 2891, 13433, 5602, 12828, 912, 476, 1820, 2891, 7224, 5602, 0, 600, 340, 815, 6151, 17750, 4590, 6919, 815, 993, 340, 21858, 2891, 834, 264, 3097, 2908, 24552, 815, 1496, 5320, 11468, 18737, 272, 316, 585, 2262, 538, 1913, 316, 3097, 2908, 306, 27542, 815, 834, 834, 269, 21860, 28956, 24552, 994, 2745, 28956, 306, 27542, 264, 3097, 0, 258, 5814, 681, 303, 328, 14371, 18444, 302, 607, 13382, 22473, 454, 258, 5228, 942, 1104, 3207, 692, 3698, 1025, 1074, 630, 8930, 476, 2187, 825, 1948, 10472, 1187, 551, 24926, 517, 1025, 3855, 519, 3366, 4448, 547, 519, 5293, 998, 2823, 454, 825, 1948, 910, 11607, 269, 734, 8894, 476, 8173, 825, 13382, 22473, 269, 16059, 9638, 514, 267, 13382, 22473, 13034, 26996, 994, 825, 3207, 263, 272, 994, 825, 13382, 22473, 269, 16059, 9638, 514, 267, 13382, 22473, 11482, 8582, 994, 825, 3207, 263, 272, 994, 825, 13382, 22473, 269, 16059, 9638, 514, 267, 13382, 22473, 13034, 26996, 994, 825, 3207, 263, 272, 994, 825, 13382, 22473, 269, 16059, 9638, 514, 267, 13382, 22473, 11482, 8582, 994, 825, 3207, 263, 272, 994, 825, 13382, 22473, 269, 16059, 9638, 514, 267, 13382, 22473, 13034, 26996, 994, 825, 3207, 263, 272, 994, 825, 13382, 22473, 269, 16059, 9638, 514, 267, 13382, 22473, 11482, 8582, 994, 476, 8173, 2745, 9638, 514, 994, 8873, 454, 12163, 3698, 561, 662, 1575, 630, 11017, 267, 512, 2187, 825, 1948, 2490, 593, 519, 2016, 13382, 22473, 8930, 3366, 267, 585, 2016, 512, 942, 454, 825, 13382, 22473, 269, 16059, 9638, 514, 267, 13382, 22473, 13034, 26996, 994, 825, 3207, 6025, 994, 825, 13382, 22473, 269, 16059, 9638, 514, 267, 13382, 22473, 11482, 8582, 994, 476, 29185, 0, 258, 5358, 547, 6542, 4152, 3252, 593, 12673, 454, 258, 8191, 2433, 7054, 325, 534, 16679, 15011, 25428, 692, 1598, 815, 834, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 5016, 2745, 19304, 994, 2745, 2891, 529, 21639, 30775, 281, 5602, 2745, 19304, 18994, 21639, 15405, 2745, 10797, 2745, 2891, 529, 12294, 30775, 281, 5602, 2745, 19304, 18994, 12294, 15405, 2745, 10797, 2745, 2891, 529, 10401, 30775, 281, 5602, 2745, 19304, 18994, 10401, 15405, 2745, 10797, 2745, 2891, 529, 531, 11133, 30775, 281, 5602, 2745, 19304, 18994, 531, 11133, 15405, 2745, 10797, 2745, 2891, 529, 323, 13424, 30775, 281, 5602, 2745, 19304, 18994, 323, 13424, 15405, 2745, 10797, 2745, 2891, 626, 1856, 30775, 281, 5602, 2745, 19304, 269, 626, 1856, 15405, 2745, 10797, 2745, 2891, 1170, 10628, 30775, 281, 5602, 2745, 19304, 269, 1170, 10628, 15405, 2745, 10797, 2745, 2891, 11034, 1873, 603, 30775, 281, 5602, 2745, 19304, 269, 11034, 1873, 603, 3488, 320, 29125, 2745, 10797, 2745, 2891, 1742, 5976, 30775, 281, 5602, 2745, 19304, 269, 1742, 5976, 3488, 345, 29125, 2745, 3890 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5353, 523, 538, 476, 6977, 271, 267, 634, 5062, 22146, 25035, 729, 851, 631, 4106, 807, 25035, 543, 851, 11572, 9549, 25035, 269, 23850, 585, 946, 676, 6276, 5062, 22146, 630, 320, 5449, 11204, 4211, 531, 4613, 1014, 2506, 580, 7949, 540, 634, 2475, 1070, 609, 634, 11204, 2782, 3357, 1082, 968, 8624, 517, 1235, 892, 11836, 538, 547, 948, 1977, 17086, 7001, 4993, 630, 663, 4061, 267, 899, 4505, 6809, 753, 264, 1107, 17551, 741, 968, 785, 11163, 6100, 1452, 968, 15031, 686, 1824, 892, 2965, 24714, 547, 1106, 741, 1378, 968, 11847, 3016, 892, 630, 8117, 711, 8209, 1831, 513, 2475, 3557, 1040, 634, 19594, 25035, 729, 6659, 676, 971, 606, 11439, 631, 4106, 807, 269, 634, 2189, 968, 8624, 832, 892, 1397, 606, 476, 279, 7304, 539, 267, 6519, 543, 9791, 22367, 4771, 593, 519, 30810, 540, 519, 25035, 12197, 269, 769, 519, 5580, 2451, 22616, 517, 630, 6518, 729, 6519, 1070, 729, 606, 968, 514, 30062, 892, 476, 276, 15304, 10060, 630, 514, 4414, 1040, 769, 519, 2539, 1318, 6712, 540, 519, 9206, 729, 606, 968, 611, 6463, 892, 22616, 517, 630, 10193, 6519, 5608, 799, 12286, 513, 9466, 19594, 630, 1492, 3090, 540, 4993, 1040, 0, 8512, 540, 634, 26532, 638, 16695, 11270, 540, 13137, 267, 713, 5859, 568, 1419, 11855, 607, 519, 1101, 4013, 834, 290, 6350, 3547, 15178, 257, 540, 10617, 602, 1131, 581, 513, 20856, 675, 538, 2342, 543, 634, 5664, 12698, 585, 519, 1985, 476, 4335, 268, 15957, 1296, 269, 634, 2112, 729, 2965, 513, 26362, 540, 519, 631, 3233, 880, 2749, 540, 15016, 770, 549, 269, 23548, 684, 538, 476, 11793, 275, 589, 6185, 269, 910, 519, 15352, 538, 7507, 267, 12138, 4083, 267, 1185, 513, 1032, 4505, 910, 3459, 840, 2286, 834, 3128, 344, 2112, 257, 1996, 519, 7332, 1852, 540, 519, 2749, 269, 3509, 4168, 3401, 538, 2342, 267, 646, 5338, 1010, 1289, 910, 2366, 1507, 20679, 547, 1010, 5351, 269, 1452, 3864, 20679, 267, 519, 13557, 540, 799, 7768, 5097, 540, 3943, 543, 26990, 1495, 2103, 630, 24392, 898, 14900, 9539, 768, 753, 543, 5053, 15548, 607, 1134, 1070, 910, 15354, 593, 519, 5032, 540, 8050, 543, 3323, 741, 15292, 3592, 5612, 269, 2991, 513, 7142, 15292, 24654, 630, 5976, 2370, 547, 1100, 4187, 1070, 789, 3323, 741, 26362, 563, 9824, 550, 8393, 10514, 8973, 519, 4975, 267, 519, 5651, 16194, 575, 28207, 10692, 1130, 5050, 569, 1996, 873, 269, 24613, 856, 538, 3875, 29816, 4990, 625, 1996, 519, 12724, 19470, 267, 789, 941, 29041, 1394, 269, 589, 20314, 550, 540, 7671, 880, 29843, 4371, 519, 6240, 4155, 538, 543, 856, 540, 519, 4975, 269, 634, 7720, 832, 1223, 711, 2736, 741, 3515, 269, 634, 12724, 19470, 2705, 267, 1185, 741, 1378, 12194, 269, 4014, 519, 26362, 729, 2500, 910, 519, 7720, 832, 941, 711, 21704, 532, 269, 901, 26362, 6743, 607, 952, 621, 1131, 1831, 811, 1486, 26167, 602, 729, 17191, 630, 663, 972, 729, 519, 4250, 540, 631, 3233, 880, 12927, 906, 3138, 4040, 14386, 634, 16099, 540, 589, 10181, 12578, 543, 513, 3196, 540, 18280, 534, 29816, 5532, 909, 2282, 717, 1241, 320, 630, 2568, 268, 15957, 5195, 689, 30209, 264, 910, 543, 3323, 741, 4434, 547, 15016, 770, 549, 269, 5565, 811, 7142, 1786, 3737, 941, 2614, 585, 519, 631, 3233, 575, 28207, 269, 2991, 513, 476, 2412, 6377, 26362, 630, 663, 1100, 12927, 906, 264, 910, 789, 1147, 16781, 1229, 269, 15016, 770, 549, 729, 1631, 3768, 1030, 2105, 269, 1306, 729, 519, 2688, 267, 519, 7720, 832, 941, 4847, 547, 4734, 519, 4975, 630, 8974, 7916, 1040, 1323, 593, 16435, 4381, 4682, 883, 1198, 269, 634, 12724, 19470, 561, 2393, 539, 543, 14616, 519, 4975, 630, 6518, 17204, 519, 15352, 781, 3483, 1040, 898, 729, 1767, 602, 476, 2004, 267, 1822, 2367, 267, 2021, 543, 1453, 941, 2527, 659, 1042, 269, 670, 4007, 5666, 540, 14951, 543, 7727, 941, 3144, 269, 634, 2782, 585, 15016, 770, 549, 1131, 4196, 607, 513, 834, 29602, 5048, 257, 2366, 676, 5783, 7282, 834, 577, 2077, 1014, 16431, 2668, 901, 5048, 1131, 13469, 998, 7332, 6082, 585, 5553, 269, 3143, 3476, 1131, 2901, 2427, 1397, 1022, 1483, 23502, 2509, 741, 14763, 269, 0, 2026, 596, 11441, 547, 1332, 538, 707, 5718, 1983, 543, 5759, 267, 596, 786, 1265, 602, 519, 2796, 538, 799, 596, 960, 7506, 707, 8404, 543, 2127, 540, 1445, 269, 769, 513, 2147, 18916, 267, 707, 7029, 547, 3384, 24015, 666, 3565, 4724, 10721, 7145, 563, 2414, 602, 1439, 267, 621, 568, 2565, 547, 5431, 519, 2956, 540, 10721, 2528, 543, 2916, 269, 769, 1880, 267, 998, 713, 3018, 5889, 11366, 338, 4804, 8249, 267, 596, 949, 2015, 1896, 2055, 281, 1215, 798, 606, 3919, 5889, 11366, 338, 5692, 267, 5075, 267, 543, 2418, 9305, 547, 922, 2528, 286, 1548, 568, 519, 3017, 1063, 2528, 543, 2916, 286, 5047, 267, 875, 616, 2528, 543, 2916, 28955, 1369, 519, 3919, 888, 2690, 713, 17564, 267, 596, 2263, 519, 2528, 543, 2916, 540, 707, 1699, 3919, 610, 835, 609, 799, 596, 616, 5432, 269, 1411, 849, 2015, 3664, 543, 1554, 3562, 6377, 2853, 543, 519, 1259, 789, 9305, 547, 519, 3919, 5889, 11366, 338, 5692, 267, 5075, 267, 543, 2418, 563, 5889, 11366, 10634, 5623, 519, 1344, 1644, 547, 4058, 543, 3375, 1818, 538, 1072, 1416, 3906, 4843, 538, 519, 1837, 267, 15557, 32018, 543, 5004, 12793, 538, 16711, 281, 7869, 543, 13335, 269, 6333, 875, 4058, 543, 3375, 1818, 9305, 547, 606, 3919, 5889, 11366, 338, 5692, 267, 5075, 267, 543, 2418, 267, 607, 1134, 607, 922, 2528, 543, 922, 2916, 563, 5889, 11366, 10634, 25800, 3054, 609, 519, 5692, 267, 5075, 267, 543, 2418, 540, 707, 3919, 610, 835, 609, 799, 596, 616, 5432, 269, 6333, 875, 519, 6898, 543, 3527, 540, 3401, 543, 1866, 1369, 519, 3919, 1489, 610, 6542, 519, 10721, 5692, 267, 5075, 267, 543, 2418, 269, 769, 1840, 267, 4063, 1022, 7805, 27753, 1063, 2262, 543, 632, 539, 269, 6056, 827, 875, 713, 18922, 883, 6788, 585, 1463, 3028, 7426, 269, 8074, 1022, 1239, 610, 13742, 602, 3100, 547, 5815, 2436, 5615, 1369, 519, 3919, 616, 21412, 609, 922, 5692, 267, 5075, 267, 543, 2418, 563, 5889, 11366, 10634, 10670, 547, 4983, 543, 2992, 593, 519, 2528, 543, 2916, 540, 519, 3919, 269, 1215, 798, 2528, 543, 2916, 8428, 888, 5889, 11366, 10634, 4208, 568, 621, 1271, 585, 596, 267, 607, 513, 4487, 5889, 11366, 338, 1790, 10517, 1563, 12016, 6205, 267, 547, 581, 26256, 714, 656, 540, 891, 6927, 888, 763, 2022, 1548, 568, 519, 3017, 1063, 2528, 543, 2916, 286, 7902, 1101, 593, 3733, 16711, 12910, 14430, 563, 2171, 1683, 17096, 1863, 7084, 4267, 2854, 689, 15072, 269, 3776, 2228, 1557, 5830, 1683, 606, 1367, 1935, 547, 1169, 2582, 7084, 454, 2252, 596, 616, 3168, 585, 3728, 543, 6325, 2228, 1557, 1603, 948, 267, 596, 723, 1175, 15354, 593, 519, 1318, 2985, 269, 3245, 1631, 593, 267, 596, 666, 3247, 5855, 543, 7340, 827, 1603, 10467, 281, 707, 2852, 4574, 616, 2922, 609, 938, 2228, 4081, 5830, 454, 16704, 2207, 589, 590, 8379, 6579, 2752, 11536, 6347, 312, 654, 305, 3951, 307, 2894, 20978, 590, 10135, 2969, 6224, 0, 296, 4076, 5063, 2097, 1753, 689, 9702, 538, 3345, 3784, 1633, 269, 901, 14626, 3660, 609, 519, 1376, 540, 519, 7556, 1974, 543, 1018, 2038, 2413, 1004, 1572, 700, 2459, 553, 269, 3245, 519, 1376, 540, 4864, 267, 28870, 998, 1250, 1079, 4374, 1851, 519, 4610, 540, 5087, 7532, 4789, 267, 519, 9192, 3771, 1407, 1562, 7902, 543, 519, 29278, 5828, 689, 10568, 4610, 547, 20839, 1076, 1354, 938, 4064, 269, 901, 11733, 814, 1044, 519, 1482, 585, 5553, 269, 634, 476, 273, 526, 540, 4864, 814, 12926, 6825, 519, 1689, 689, 606, 14221, 7227, 585, 519, 7031, 547, 519, 1184, 540, 11018, 873, 630, 5408, 1250, 631, 1749, 28026, 2022, 593, 519, 14221, 7996, 1974, 1040, 1306, 609, 782, 30018, 5712, 543, 12119, 18819, 267, 713, 729, 1776, 1929, 1400, 1448, 538, 519, 1032, 540, 1689, 543, 7004, 269, 898, 729, 1776, 3184, 538, 519, 5993, 11706, 602, 8118, 609, 700, 2459, 553, 543, 4797, 2394, 3735, 5181, 609, 7812, 5733, 563, 299, 2459, 553, 814, 513, 1279, 1686, 15198, 1394, 547, 17454, 29509, 2053, 269, 3973, 3694, 1500, 689, 519, 28448, 19122, 10286, 1131, 581, 2759, 883, 2185, 543, 513, 10116, 5116, 538, 1142, 7944, 540, 3046, 985, 547, 2149, 519, 10286, 602, 1131, 3049, 1004, 585, 519, 1985, 1032, 269, 1284, 1810, 1406, 917, 952, 713, 2259, 4797, 883, 519, 2038, 2413, 1974, 855, 267, 538, 519, 476, 3707, 271, 338, 267, 21243, 3138, 2314, 10023, 2909, 1749, 610, 4646, 883, 519, 3337, 540, 10568, 1352, 2378, 338, 3323, 547, 581, 4843, 693, 5939, 593, 519, 1101, 10732, 540, 519, 3923, 269, 22628, 607, 519, 2262, 700, 2459, 553, 1223, 723, 6508, 689, 519, 17454, 29509, 2048, 327, 5055, 1030, 2173, 817, 685, 630, 5979, 2378, 2527, 1070, 713, 3095, 1063, 519, 7556, 543, 3694, 4667, 513, 1279, 835, 563, 15900, 2413, 1004, 11018, 538, 519, 7556, 1131, 2909, 573, 8970, 6564, 625, 602, 789, 1500, 689, 519, 2063, 11353, 540, 10568, 6967, 538, 519, 4610, 269, 901, 729, 5156, 519, 15972, 9409, 14326, 602, 1223, 21279, 3771, 341, 3949, 610, 1426, 8637, 630, 1492, 4160, 936, 7031, 2760, 2731, 705, 730, 267, 621, 1175, 2849, 335, 1117, 883, 32370, 827, 519, 9241, 10356, 3819, 5370, 1040, 1306, 2950, 986, 1027, 547, 9096, 16276, 519, 10286, 7031, 267, 8970, 6564, 625, 941, 2901, 16207, 883, 30240, 14252, 3046, 985, 676, 1259, 540, 26453, 582, 720, 610, 6854, 585, 1434, 9939, 563, 289, 2590, 532, 538, 519, 7556, 729, 2182, 960, 543, 865, 2978, 537, 516, 3464, 1522, 4324, 689, 4411, 10425, 3177, 676, 12820, 538, 519, 1106, 540, 627, 580, 630, 18478, 689, 765, 344, 267, 513, 676, 1790, 6055, 540, 10381, 2504, 1040, 717, 969, 848, 4460, 5069, 2934, 267, 538, 1010, 2296, 5600, 342, 1057, 540, 476, 14065, 276, 267, 5528, 547, 4558, 765, 344, 538, 513, 2048, 338, 11548, 6149, 6077, 685, 547, 3579, 621, 585, 627, 580, 799, 1223, 2048, 16435, 820, 519, 19818, 540, 1022, 11668, 532, 812, 2507, 685, 1358, 1522, 849, 581, 2016, 1426, 267, 543, 513, 4272, 2218, 7594, 950, 519, 960, 729, 936, 693, 519, 1439, 540, 519, 4005, 547, 1665, 2048, 9618, 4034, 1753, 9957, 634, 2859, 27971, 540, 9741, 2859, 2023, 1705, 713, 585, 741, 4600, 538, 476, 14341, 272, 543, 2451, 513, 2594, 538, 741, 6589, 540, 519, 3063, 1426, 789, 5423, 585, 519, 21649, 563, 19604, 4034, 729, 849, 519, 942, 547, 5965, 824, 3688, 971, 607, 19060, 1319, 338, 585, 32466, 610, 29295, 12450, 593, 552, 691, 1156, 19683, 799, 1131, 581, 5916, 609, 6653, 1159, 2454, 11922, 269, 5637, 540, 891, 941, 5916, 538, 519, 2048, 337, 2313, 12946, 685, 16873, 1141, 519, 2146, 1131, 5531, 543, 1459, 678, 16640, 585, 519, 2199, 5939, 269, 634, 5939, 1131, 849, 581, 2016, 4195, 543, 12015, 11922, 607, 851, 540, 519, 2699, 7675, 540, 519, 19683, 563, 19604, 4034, 1753, 729, 942, 547, 8661, 543, 13236, 513, 521, 662, 540, 8323, 1310, 519, 2182, 960, 540, 521, 12976, 267, 3395, 267, 7863, 267, 543, 11018, 519, 7031, 269, 634, 17237, 7934, 1354, 519, 7556, 729, 936, 543, 972, 729, 15260, 4269, 602, 519, 5993, 1184, 540, 17516, 1426, 2394, 1985, 4832, 729, 2347, 269, 674, 9229, 3771, 341, 3949, 941, 513, 1483, 7872, 538, 519, 2038, 2413, 1974, 543, 972, 941, 1896, 7839, 14286, 267, 1300, 340, 8765, 538, 519, 476, 14689, 271, 338, 269, 901, 729, 513, 942, 950, 26380, 729, 2141, 513, 1761, 1981, 593, 519, 16880, 269, 901, 4250, 2306, 519, 556, 14765, 6005, 543, 16873, 782, 519, 811, 896, 560, 762, 269, 1452, 2053, 540, 2146, 7908, 2032, 849, 3769, 519, 530, 1389, 799, 941, 2199, 14812, 13615, 547, 519, 2199, 5939, 779, 23920, 543, 741, 21649, 1554, 269, 7338, 570, 1380, 518, 538, 476, 14991, 274, 4330, 519, 530, 1389, 607, 513, 942, 950, 2048, 2507, 22336, 1616, 517, 949, 7544, 693, 1200, 786, 270, 13828, 8751, 7219, 609, 8751, 4802, 267, 543, 808, 1678, 514, 609, 28711, 19028, 763, 5177, 814, 1044, 7680, 13778, 3905, 4365, 713, 4832, 630, 1708, 273, 264, 543, 607, 594, 2328, 713, 267, 649, 616, 10010, 538 ]

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

[ 0, 769, 3695, 519, 10167, 1063, 14100, 1143, 267, 2565, 3069, 267, 543, 5339, 9880, 267, 621, 781, 1898, 547, 1174, 602, 891, 7214, 5322, 2671, 513, 1455, 3804, 281, 547, 7866, 519, 1379, 6384, 11251, 1369, 2686, 13742, 543, 1514, 3889, 269, 5637, 31767, 543, 2565, 6436, 7153, 538, 3210, 547, 24041, 29678, 543, 922, 7390, 656, 3029, 540, 14226, 543, 28735, 269, 1635, 6313, 875, 2804, 2175, 3337, 1480, 9637, 543, 3347, 267, 891, 5380, 1683, 721, 609, 3407, 2645, 585, 16208, 3332, 543, 2528, 811, 17618, 780, 11321, 343, 626, 5339, 9880, 14405, 2390, 1883, 4030, 689, 20913, 14100, 543, 26179, 1621, 1564, 262, 960, 547, 5659, 519, 20748, 7516, 540, 5931, 543, 741, 3140, 8658, 269, 2311, 922, 4295, 6013, 519, 2856, 602, 1570, 6381, 3313, 938, 4978, 543, 2418, 282, 3976, 267, 29506, 1944, 519, 14227, 2175, 4478, 513, 2016, 960, 666, 22113, 24353, 10096, 25848, 3293, 676, 8789, 12496, 269, 5047, 267, 1317, 16851, 12346, 593, 32238, 1107, 519, 9668, 540, 2043, 689, 1312, 741, 4074, 543, 8284, 3425, 1107, 29267, 27965, 713, 1184, 3587, 14063, 950, 1814, 1172, 532, 28138, 3332, 780, 2690, 3236, 267, 2015, 14667, 645, 3224, 25612, 781, 654, 9801, 532, 1261, 2074, 267, 799, 2934, 3197, 4171, 2729, 616, 9598, 730, 676, 3959, 9562, 543, 1362, 21441, 269, 589, 31767, 2542, 1522, 11168, 875, 519, 3209, 19156, 519, 632, 16058, 1436, 530, 3754, 676, 24041, 13250, 267, 13031, 519, 2081, 538, 799, 5763, 10419, 340, 919, 9979, 540, 5208, 543, 7092, 1851, 519, 2324, 5049, 269, 3958, 267, 971, 513, 16472, 1223, 2263, 875, 519, 3209, 2591, 2757, 4008, 5107, 543, 6788, 267, 7551, 5356, 1761, 18817, 585, 4187, 1996, 26568, 1949, 780, 27287, 3069, 267, 29285, 267, 21040, 2390, 31767, 2093, 676, 6220, 4030, 689, 25164, 4519, 267, 23316, 267, 19795, 267, 543, 824, 10459, 269, 27505, 1229, 676, 5515, 899, 19124, 18148, 267, 23323, 528, 1520, 1941, 334, 267, 7665, 670, 1251, 10773, 267, 661, 5341, 3245, 332, 267, 29464, 16205, 2224, 267, 543, 808, 14660, 2102, 13206, 1069, 553, 267, 2565, 3069, 11394, 547, 16616, 6456, 1894, 540, 1379, 543, 3895, 26602, 760, 2218, 1689, 269, 4706, 8561, 593, 15834, 2409, 2636, 585, 13857, 13220, 540, 1585, 2686, 24299, 267, 7175, 5640, 547, 2272, 585, 10848, 1419, 15763, 676, 1487, 21063, 9382, 780, 1103, 7311, 2565, 3069, 547, 3332, 267, 649, 666, 4983, 875, 5931, 2992, 6626, 6848, 13253, 543, 32475, 269, 1280, 1383, 267, 5373, 2390, 22506, 1014, 25164, 24608, 10850, 267, 835, 1522, 8495, 519, 1909, 540, 17499, 13821, 538, 5935, 1915, 18144, 610, 2239, 9095, 338, 269, 17968, 267, 12561, 513, 15594, 5133, 5483, 676, 3244, 821, 632, 2142, 879, 341, 7546, 781, 16650, 1143, 1223, 8774, 1769, 593, 575, 25311, 2833, 543, 11269, 1369, 513, 1880, 960, 780, 2414, 9414, 713, 1935, 267, 1577, 781, 2490, 547, 9098, 26741, 325, 781, 11427, 269, 667, 9994, 599, 269, 3414, 1200, 6908, 6361, 23655, 1145, 32538, 267, 26741, 325, 27875, 519, 6418, 24187, 5185, 676, 16502, 22548, 20811, 667, 9994, 599, 607, 1352, 4044, 919, 513, 1554, 538, 2022, 28131, 2782, 594, 5507, 2486, 269, 16792, 2565, 3069, 1934, 6087, 3988, 547, 796, 24160, 4296, 1063, 1367, 2618, 545, 9620, 543, 3677, 1914, 19205, 4229, 693, 1404, 1282, 713, 5736, 1765, 4067, 569, 267, 519, 29886, 8194, 540, 2112, 267, 13346, 4008, 5107, 267, 543, 28928, 7082, 1143, 780, 3528, 2502, 609, 1312, 31767, 543, 2565, 6436, 267, 1053, 540, 3332, 666, 11349, 7347, 10763, 1983, 1247, 29947, 741, 7071, 585, 519, 15491, 2470, 540, 5931, 269, 5015, 267, 789, 786, 581, 1732, 9280, 547, 7119, 538, 5571, 7391, 827, 10296, 2152, 971, 607, 8635, 267, 3961, 6214, 267, 2825, 12159, 267, 543, 6639, 15002, 1143, 269, 1306, 971, 267, 10128, 891, 5380, 883, 1022, 3978, 1353, 540, 3860, 1603, 4564, 606, 16832, 1900, 4724, 5807, 7722, 15114, 543, 5009, 11636, 1514, 7004, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 300, 3008, 9898, 5508, 674, 12114, 8121, 4811, 5442, 595, 3918, 288, 20937, 654, 6020, 16249, 454, 268, 5441, 540, 27565, 8551, 454, 268, 23958, 23422, 15789, 454, 763, 631, 11902, 538, 11300, 5675, 1982, 568, 2966, 547, 948, 1053, 945, 616, 8149, 547, 28798, 741, 4739, 2417, 543, 1831, 11327, 3860, 5830, 998, 513, 27733, 538, 519, 7811, 543, 4052, 3344, 540, 1603, 269, 901, 2882, 519, 16548, 543, 7399, 540, 8313, 543, 2773, 543, 606, 14021, 6514, 543, 6268, 540, 519, 1053, 685, 1568, 896, 519, 5583, 540, 4810, 5830, 563, 9743, 2315, 568, 5342, 6140, 676, 11925, 267, 1519, 15964, 1055, 2275, 25283, 7886, 269, 1452, 11925, 2285, 519, 1053, 519, 4316, 547, 1865, 543, 3132, 3312, 1603, 538, 519, 2754, 540, 4810, 4648, 563, 10135, 310, 32133, 300, 13624, 3951, 32133, 300, 16520, 7869, 543, 29576, 10911, 310, 27151, 300, 13624, 3951, 27151, 300, 16520, 22564, 454, 10135, 310, 5952, 272, 300, 630, 517, 2072, 264, 19080, 5675, 454, 3080, 3332, 1528, 633, 547, 581, 6074, 689, 519, 10790, 7400, 9085, 15789, 610, 519, 1053, 949, 1904, 547, 18934, 538, 513, 476, 274, 15492, 595, 1758, 622, 1576, 6035, 676, 824, 8977, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 6579, 5308, 8008, 14176, 1315, 3778, 1299, 24028, 903, 1315, 7073, 1315, 14100, 1143, 543, 11879, 7869, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 272, 281, 4985, 547, 7612, 4787, 908, 692, 5970, 596, 2479, 14478, 4137, 1236, 11596, 1350, 4575, 30780, 593, 519, 4672, 267, 7900, 5863, 26357, 543, 30809, 286, 7612, 1236, 908, 568, 513, 4190, 543, 13858, 5162, 7328, 1141, 9845, 1397, 1055, 741, 1983, 267, 4222, 267, 543, 26274, 593, 519, 4672, 269, 901, 3184, 786, 6338, 596, 547, 519, 8748, 1158, 540, 4137, 1236, 908, 543, 1491, 596, 593, 513, 3460, 609, 835, 540, 922, 6801, 910, 589, 997, 807, 834, 13825, 13825, 257, 10060, 321, 3089, 780, 1432, 568, 7612, 4787, 908, 2496, 8201, 1236, 908, 568, 513, 7328, 5340, 593, 4672, 267, 1141, 2043, 267, 8424, 267, 610, 2516, 14892, 1585, 7575, 899, 26357, 267, 30809, 267, 3076, 1206, 267, 543, 3723, 1740, 269, 898, 10905, 7619, 6291, 267, 4480, 267, 543, 7499, 4082, 269, 26465, 525, 5957, 2027, 25192, 7923, 547, 6094, 4496, 19059, 267, 3850, 873, 547, 1847, 12347, 2066, 519, 4672, 780, 6637, 476, 273, 281, 3778, 540, 7612, 4787, 908, 692, 8201, 1236, 908, 814, 1044, 1472, 2094, 519, 2038, 476, 866, 628, 2540, 269, 1717, 267, 621, 7012, 1405, 2394, 476, 5002, 279, 950, 621, 1500, 922, 26813, 607, 606, 4013, 16727, 15604, 22505, 1282, 519, 5507, 10632, 269, 3683, 519, 1296, 267, 713, 17715, 7328, 7960, 267, 10962, 1007, 2609, 543, 2553, 1247, 4509, 922, 2189, 11100, 540, 5578, 543, 5898, 780, 6637, 476, 274, 281, 20821, 11835, 13825, 10060, 321, 3089, 692, 29820, 593, 27223, 781, 4303, 538, 476, 4198, 272, 538, 27257, 267, 17665, 267, 7330, 267, 589, 997, 807, 834, 13825, 13825, 257, 10060, 321, 3089, 3323, 1236, 908, 693, 513, 1360, 1762, 2085, 269, 4173, 6612, 585, 519, 7328, 3366, 1200, 547, 1831, 513, 1614, 6066, 2475, 30449, 4787, 908, 19598, 542, 543, 1079, 6066, 10493, 1014, 676, 519, 3735, 1412, 2568, 338, 543, 2038, 1412, 3583, 338, 269, 2991, 1427, 3931, 689, 6735, 267, 1352, 4797, 7700, 547, 4137, 1236, 908, 998, 18006, 267, 25287, 2762, 267, 543, 1256, 9117, 2439, 6637, 476, 275, 281, 15775, 20553, 4787, 908, 692, 3383, 267, 875, 1705, 11835, 13825, 3605, 1200, 2648, 585, 4137, 1236, 908, 286, 3509, 4137, 1236, 11596, 1376, 1175, 899, 1352, 1705, 1107, 3843, 856, 1114, 2238, 543, 9991, 538, 2648, 609, 519, 14815, 540, 23510, 593, 4672, 269, 1280, 1346, 5461, 538, 13197, 4137, 1236, 908, 267, 4466, 513, 2199, 678, 1074, 543, 19142, 909, 585, 4245, 568, 513, 1390, 1259, 547, 2253, 269, 2060, 11428, 267, 2182, 960, 267, 543, 6266, 540, 2259, 267, 4896, 666, 1451, 519, 9238, 543, 1020, 741, 1378, 2511, 780, 6637, 476, 276, 281, 29923, 9828, 692, 2467, 616, 2185, 1292, 2010, 540, 26357, 538, 4137, 1236, 908, 281, 23179, 8520, 267, 2892, 577, 578, 267, 16212, 267, 543, 561, 583, 345, 269, 3962, 7914, 3340, 1808, 6316, 1852, 267, 10047, 267, 543, 13941, 2553, 269, 1975, 1231, 2097, 538, 1082, 8677, 1932, 267, 1519, 4342, 601, 8095, 267, 1694, 8095, 267, 543, 2482, 3724, 8095, 269, 4804, 891, 1983, 3217, 9639, 543, 18094, 267, 855, 13215, 873, 5012, 547, 6909, 12644, 780, 6637, 476, 277, 281, 3203, 3588, 538, 18289, 692, 4407, 4480, 568, 2629, 538, 4137, 1236, 908, 267, 865, 568, 11589, 13951, 998, 3350, 543, 2575, 269, 932, 648, 20802, 1711, 13467, 602, 5031, 1142, 19002, 781, 9342, 543, 7209, 267, 1818, 1169, 2773, 2189, 269, 8779, 6979, 267, 17539, 267, 543, 4552, 849, 1404, 1898, 5107, 538, 7393, 519, 2949, 6881, 780, 6637, 476, 278, 281, 5510, 519, 10979, 692, 19423, 519, 4672, 267, 4137, 1236, 11596, 1590, 2226, 2168, 8516, 998, 5751, 899, 29478, 267, 15815, 919, 267, 543, 2597, 2866, 269, 7743, 6484, 543, 1964, 616, 8449, 1271, 585, 6099, 2773, 543, 6051, 269, 3958, 267, 2790, 7041, 4249, 513, 1713, 1909, 538, 5883, 2566, 267, 2679, 6015, 267, 543, 9363, 5059, 1354, 19194, 780, 9961, 1686, 267, 5515, 899, 11835, 13825, 10060, 321, 3089, 723, 3254, 721, 602, 4137, 1236, 908, 568, 1454, 811, 982, 1175, 513, 7328, 282, 621, 781, 606, 1148, 1106, 602, 25186, 10665, 543, 1770, 525, 1004, 5001, 269, 1924, 10544, 707, 1236, 919, 267, 1265, 707, 14282, 4672, 678, 1074, 267, 543, 7832, 593, 707, 1360, 1378, 4137, 1236, 908, 7045, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3080, 540, 519, 1419, 27492, 331, 10541, 5026, 267, 7612, 4787, 908, 267, 568, 11543, 23146, 7064, 547, 519, 7260, 594, 267, 25414, 320, 513, 4670, 827, 835, 971, 4137, 1606, 330, 831, 563, 3719, 267, 649, 616, 711, 1934, 547, 2911, 827, 519, 7260, 610, 519, 1390, 25414, 320, 269, 634, 2376, 6212, 593, 1776, 5182, 267, 11835, 14765, 10060, 321, 3089, 563, 2005, 729, 606, 5140, 8317, 585, 4672, 1236, 11596, 547, 6368, 1685, 519, 7328, 593, 606, 3486, 1377, 269, 7612, 1236, 908, 729, 519, 1101, 16727, 15604, 7328, 602, 3357, 883, 6228, 538, 476, 5002, 279, 563, 13825, 14765, 10060, 321, 3089, 2968, 513, 1614, 6066, 2136, 2276, 6292, 1236, 908, 22299, 543, 1079, 6066, 10493, 1014, 269, 4634, 693, 519, 2085, 540, 476, 3583, 267, 519, 1025, 27475, 8992, 1200, 2648, 585, 519, 7328, 602, 4957, 1200, 1272, 563, 290, 727, 267, 1577, 779, 513, 2370, 811, 827, 519, 3078, 1272, 540, 11835, 14765, 269, 2311, 519, 1482, 942, 267, 594, 786, 18836, 930, 1344, 593, 4137, 1236, 908, 563, 763, 2376, 2882, 1200, 2038, 1272, 267, 875, 1352, 3893, 883, 1236, 908, 267, 10060, 321, 3089, 779, 2121, 4502, 267, 543, 930, 3877, 593, 1200, 2123, 1272, 2336, 24820, 997, 807, 968, 13825, 13825, 892, 10060, 321, 3089, 454, 347, 21938, 476, 1691, 267, 476, 4198, 272, 454, 347, 10170, 13012, 6196, 454, 21270, 26309, 267, 17665, 267, 772, 2529, 563, 347, 276, 685, 278, 16357, 630, 272, 269, 4037, 544, 994, 347, 8201, 4787, 908, 267, 2920, 816, 454, 347, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8201, 4787, 908, 257, 607, 851, 540, 834, 16300, 16337, 1315, 11846, 1299, 28046, 1315, 15604, 11846, 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 ]

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

[ 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 22175, 1968, 6807, 267, 3025, 2141, 1767, 4010, 1018, 789, 5921, 269, 1403, 2576, 729, 4743, 6126, 267, 789, 1131, 2161, 834, 296, 993, 7772, 995, 10590, 543, 952, 789, 941, 8909, 267, 789, 1131, 2161, 834, 296, 993, 29043, 1701, 1703, 729, 2760, 1022, 10539, 827, 875, 4896, 5433, 267, 1317, 741, 1913, 9985, 20083, 741, 4664, 780, 3080, 1554, 267, 513, 1007, 1920, 6410, 883, 4884, 269, 1358, 1185, 2097, 689, 513, 30152, 1747, 1572, 594, 3055, 6816, 267, 1141, 1004, 1031, 11913, 20451, 782, 519, 942, 269, 7638, 4472, 20451, 729, 950, 596, 1767, 835, 3364, 267, 855, 2731, 5921, 1776, 269, 1280, 1383, 267, 952, 2576, 593, 594, 3055, 6816, 12628, 741, 4672, 8645, 593, 519, 2666, 267, 789, 1522, 2161, 834, 17764, 1390, 267, 3501, 12557, 2437, 1256, 1498, 621, 7012, 1405, 1390, 610, 1434, 12557, 693, 782, 2439, 4263, 1101, 267, 519, 1004, 540, 22175, 1968, 6807, 4769, 1405, 1174, 1946, 519, 1007, 1920, 14437, 865, 9490, 569, 269, 1809, 1287, 267, 789, 7691, 602, 519, 1007, 1920, 781, 1913, 4371, 5728, 6835, 269, 1879, 519, 4651, 1767, 834, 1432, 4190, 4365, 649, 2811, 2348, 2221, 257, 1247, 621, 729, 26311, 4764, 3544, 267, 646, 2731, 5921, 834, 1607, 4365, 588, 3855, 10590, 1656, 950, 519, 3993, 1767, 834, 2791, 2386, 798, 917, 875, 547, 1118, 8949, 1426, 257, 1310, 512, 8463, 513, 26151, 16741, 267, 1352, 2731, 5921, 834, 312, 3089, 267, 713, 2115, 811, 2259, 15323, 2026, 519, 1004, 540, 22175, 1968, 6807, 4121, 547, 6432, 5402, 547, 519, 1007, 1920, 781, 1913, 267, 789, 3459, 547, 4584, 909, 593, 891, 6456, 10096, 269, 898, 2968, 899, 513, 1187, 3014, 267, 3843, 547, 4137, 856, 1018, 519, 1007, 1920, 2731, 5921, 676, 741, 1913, 269, 1717, 267, 930, 1004, 1336, 621, 2352, 547, 1832, 909, 609, 519, 3586, 7058, 1740, 543, 4956, 547, 2057, 6158, 547, 519, 1007, 1920, 15587, 780, 10190, 267, 835, 1554, 267, 513, 15265, 7088, 5734, 22175, 1968, 6807, 269, 15526, 10443, 547, 1491, 12062, 267, 1519, 519, 1007, 1920, 269, 1306, 519, 2842, 875, 1194, 543, 519, 4764, 23953, 1524, 267, 519, 4651, 6743, 856, 519, 6885, 543, 608, 13094, 267, 834, 32452, 267, 1413, 693, 1346, 17681, 12269, 10590, 22582, 267, 519, 1004, 540, 22175, 1968, 6807, 15422, 1010, 9490, 1259, 540, 6340, 269, 12984, 646, 1373, 26878, 2880, 286, 9894, 646, 2965, 2972, 519, 7088, 286, 2107, 6148, 646, 729, 14126, 267, 543, 3274, 11589, 5128, 8335, 982, 789, 941, 1031, 547, 286, 769, 519, 1439, 267, 1100, 835, 1223, 2995, 585, 2386, 267, 6028, 519, 1004, 540, 22175, 1968, 6807, 609, 513, 3407, 3992, 827, 6947, 5702, 543, 6236, 2789, 5380, 1354, 1818, 10054, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 3963, 568, 11913, 20451, 1419, 2808, 519, 23698, 547, 3713, 538, 4633, 888, 19723, 4472, 20451, 568, 1419, 2808, 519, 23698, 547, 3713, 538, 4633, 1317, 621, 3322, 519, 946, 540, 1913, 602, 6655, 513, 2495, 602, 568, 6587, 547, 267, 610, 1114, 689, 267, 741, 21055, 2495, 269, 901, 1797, 602, 519, 10584, 781, 1913, 949, 3100, 3551, 543, 21055, 267, 855, 741, 3159, 267, 2796, 267, 543, 824, 13865, 10291, 2303, 602, 789, 616, 2965, 6031, 1945, 1114, 269, 23618, 532, 11913, 20451, 3976, 3340, 513, 4999, 540, 6297, 3007, 547, 519, 10584, 781, 1913, 543, 606, 1620, 540, 519, 2796, 538, 799, 789, 616, 6340, 269, 3958, 267, 1004, 723, 1114, 2157, 540, 8417, 547, 20451, 543, 949, 711, 581, 5432, 610, 6899, 609, 922, 946, 538, 1978, 3871, 610, 4529, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 3848, 476, 272, 281, 4985, 547, 24695, 1729, 613, 2762, 910, 634, 5530, 540, 7233, 17392, 692, 303, 1506, 1729, 613, 2762, 568, 513, 7936, 540, 6915, 613, 2762, 602, 6212, 593, 519, 3892, 540, 2371, 2066, 1114, 4525, 543, 9249, 269, 901, 2361, 11394, 547, 1174, 1946, 1978, 2030, 2249, 616, 1336, 538, 1808, 2127, 1247, 1866, 616, 15534, 269, 1635, 4974, 32443, 1729, 613, 7240, 3270, 267, 3744, 666, 2744, 4030, 883, 12105, 1686, 267, 8733, 3347, 267, 543, 5726, 14422, 780, 4089, 476, 272, 269, 272, 281, 11790, 18748, 532, 7233, 17392, 692, 24456, 3892, 568, 6766, 676, 1896, 2188, 267, 1519, 2916, 267, 27177, 267, 3037, 1826, 267, 17027, 1686, 267, 543, 1480, 2534, 269, 4197, 891, 2188, 2337, 721, 5660, 875, 1950, 543, 6422, 519, 2067, 1158, 568, 269, 1280, 1383, 267, 930, 2030, 2249, 949, 723, 7522, 20296, 7109, 1734, 267, 12145, 741, 2039, 547, 1880, 4234, 6421, 610, 31556, 269, 6684, 267, 2189, 3037, 2010, 610, 17027, 2934, 1522, 1683, 5078, 7226, 585, 4686, 610, 21049, 2249, 269, 5274, 2238, 971, 607, 2244, 946, 1689, 543, 4367, 540, 12362, 2249, 849, 1404, 1713, 5107, 538, 5935, 2030, 14778, 780, 4089, 476, 272, 269, 273, 281, 8466, 21126, 593, 24695, 1729, 613, 2762, 692, 763, 1353, 540, 32443, 1729, 613, 2762, 7389, 1394, 547, 3504, 2053, 950, 2038, 15806, 543, 2067, 1235, 3459, 11008, 1944, 2371, 1759, 593, 741, 13664, 12136, 269, 1717, 267, 621, 7012, 1405, 2394, 519, 3735, 13524, 2540, 602, 2413, 32443, 1729, 613, 2762, 7153, 607, 513, 3982, 9015, 267, 7064, 7361, 547, 519, 960, 540, 7762, 534, 626, 12138, 13153, 670, 3518, 1245, 339, 269, 3571, 14262, 29293, 7000, 9836, 3270, 538, 10664, 3892, 267, 3056, 1864, 547, 15974, 4909, 3741, 1869, 13057, 1382, 2221, 780, 4089, 476, 272, 269, 274, 281, 7351, 12367, 543, 12694, 538, 24695, 1729, 613, 2762, 692, 1103, 2487, 1296, 267, 8441, 538, 6552, 15392, 2029, 267, 22127, 6176, 7010, 630, 31043, 1070, 543, 12985, 9781, 723, 19117, 32443, 1729, 613, 2762, 269, 1452, 2645, 1450, 3173, 547, 5659, 1804, 14449, 17364, 5318, 8901, 10253, 267, 13031, 3209, 3270, 543, 3157, 6117, 2030, 3892, 269, 11048, 267, 2591, 2611, 267, 3226, 3823, 1239, 2298, 267, 32301, 267, 543, 10333, 269, 18601, 891, 2152, 3340, 15834, 5698, 543, 5499, 3435, 780, 6637, 476, 273, 281, 8865, 5525, 538, 24695, 1729, 613, 2762, 910, 10289, 18963, 543, 22948, 692, 1607, 3184, 12538, 4514, 883, 5697, 2013, 2090, 10223, 1883, 2035, 543, 2409, 1031, 538, 32443, 1729, 613, 7240, 1382, 269, 3962, 2013, 1353, 14550, 875, 10128, 3309, 4485, 2488, 3407, 4030, 883, 519, 6127, 12044, 2030, 3892, 780, 4089, 476, 273, 269, 272, 281, 8053, 2033, 7736, 655, 1143, 538, 519, 15729, 7579, 2065, 16323, 267, 3162, 4000, 692, 21026, 4000, 781, 15729, 7579, 2065, 16323, 14747, 11108, 9265, 267, 1519, 3875, 1395, 339, 2033, 21049, 2030, 2249, 9862, 547, 1164, 3887, 4582, 566, 5054, 269, 24356, 519, 10256, 540, 713, 7415, 4763, 3091, 4245, 10858, 11992, 269, 11790, 971, 607, 7823, 10575, 3424, 267, 2916, 14251, 725, 267, 543, 3595, 20816, 2170, 547, 3337, 891, 2950, 267, 3246, 2565, 2796, 585, 17782, 2104, 2242, 896, 2518, 8337, 7653, 780, 4089, 476, 273, 269, 273, 281, 645, 648, 531, 5983, 7370, 543, 8693, 7827, 692, 289, 648, 531, 7733, 13822, 3047, 781, 4102, 18714, 27354, 267, 15198, 2066, 7187, 20195, 14901, 543, 3345, 3013, 269, 1358, 22426, 5215, 540, 2030, 2249, 6213, 547, 2837, 15088, 269, 1306, 27643, 8511, 3154, 5434, 3136, 8375, 267, 16004, 531, 4104, 8134, 3068, 13778, 6937, 1813, 547, 12012, 19717, 20816, 267, 11641, 17061, 267, 543, 7989, 2378, 15543, 555, 1177, 532, 269, 15766, 908, 519, 6043, 540, 16004, 531, 18508, 547, 3140, 543, 4207, 2916, 10593, 28279, 2994, 585, 25137, 891, 4105, 1949, 8015, 23960, 2825, 1689, 780, 4089, 476, 273, 269, 274, 281, 12124, 24695, 1729, 613, 13132, 910, 19662, 543, 4790, 571, 6493, 692, 31413, 8916, 1459, 1312, 3255, 543, 10148, 585, 2030, 6668, 269, 2755, 20012, 1419, 2164, 538, 7226, 2530, 543, 26610, 267, 4872, 849, 2709, 3209, 12137, 1127, 5885, 6397, 2249, 31174, 1137, 269, 22718, 2030, 2146, 2497, 1369, 4683, 5468, 8761, 3270, 5532, 547, 14227, 2188, 267, 5989, 1374, 267, 543, 2359, 2853, 269, 6270, 1344, 10274, 3646, 547, 3986, 4683, 9265, 543, 3895, 4264, 1646, 780, 6962, 1384, 8139, 32443, 1729, 613, 2762, 568, 1898, 585, 10188, 938, 5051, 10562, 1158, 269, 3414, 11826, 3621, 7634, 267, 649, 10625, 6946, 4296, 1063, 7103, 543, 741, 1604, 267, 27283, 11444, 4724, 2500, 19642, 540, 3047, 781, 10475, 2200, 269, 16871, 713, 4161, 7569, 7279, 267, 5876, 267, 543, 7029, 1107, 7907, 7915, 538, 1169, 2875, 540, 2257, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 28319, 328, 13259, 1176, 320, 31155, 342, 14865, 9234, 11535, 1473, 648, 3045, 25555, 9980, 8896, 4530, 630, 291, 4953, 264, 476, 1708, 273, 585, 12854, 1520, 3939, 476, 1708, 273, 267, 15233, 3767, 454, 6395, 309, 309, 667, 4953, 476, 1708, 273, 1107, 8061, 328, 13259, 1176, 320, 31155, 342, 14865, 9234, 11535, 630, 6395, 309, 309, 264, 1473, 648, 20217, 2228, 3498, 585, 519, 814, 5950, 519, 16362, 531, 9980, 8896, 4530, 476, 1708, 273, 585, 1520, 3939, 547, 12854, 5358, 6035, 538, 1585, 5396, 585, 519, 4081, 8400, 476, 1708, 273, 563, 2467, 616, 11207, 476, 14138, 276, 7477, 17473, 6035, 713, 942, 269, 15443, 573, 919, 945, 616, 7996, 585, 519, 6514, 1184, 616, 15695, 547, 3277, 547, 519, 24722, 3135, 543, 4647, 519, 981, 3877, 1287, 3277, 621, 8499, 563, 4942, 291, 9980, 8896, 11929, 630, 291, 4953, 264, 476, 1708, 273, 4927, 581, 4371, 538, 519, 1739, 5396, 630, 9032, 264, 1152, 454, 268, 11930, 11061, 282, 19446, 282, 11930, 9119, 282, 5851, 3163, 282, 4437, 17190, 282, 19639, 7695, 282, 30911, 282, 5020, 3163, 282, 15636, 1415, 282, 5004, 282, 11061, 282, 9119, 282, 25642, 282, 13639, 3163, 282, 8950, 3163, 282, 14997, 2329, 282, 4578, 3163, 1299, 5983, 26511, 282, 8447, 4065, 282, 13188, 282, 8212, 282, 4065, 282, 11572, 3163, 282, 18329, 9012, 282, 4317, 4518, 282, 22997, 282, 24205, 282, 18329, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 5020, 7070, 1315, 15636, 1415, 1315, 24695, 1729, 613, 2762, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1158, 540, 2780, 5752, 267, 4481, 2519, 593, 13419, 3293, 2372, 2044, 5678, 630, 21415, 264, 543, 922, 27564, 10137, 267, 17317, 1116, 5678, 270, 1805, 19099, 2372, 2044, 5678, 630, 12195, 13478, 10258, 1070, 1031, 5097, 585, 5883, 1239, 4371, 538, 513, 4039, 1049, 5004, 3590, 630, 305, 5960, 1040, 634, 1349, 3177, 5713, 607, 513, 20457, 585, 938, 4901, 267, 10771, 519, 2956, 540, 3608, 1239, 2359, 543, 23023, 1949, 269, 1635, 13215, 14069, 543, 12813, 13478, 10258, 267, 596, 3513, 7668, 3054, 609, 2645, 2556, 547, 1628, 7347, 12240, 5827, 540, 7829, 1950, 14511, 1247, 4180, 6099, 2773, 780, 2162, 14069, 910, 25043, 540, 4578, 28294, 1637, 692, 4263, 922, 4295, 267, 14069, 568, 513, 3616, 541, 894, 1893, 2966, 585, 13214, 532, 267, 29780, 267, 21130, 267, 18111, 1154, 5638, 538, 681, 5960, 338, 269, 898, 6087, 3755, 547, 2170, 609, 11295, 1239, 7561, 1510, 20468, 827, 5817, 6388, 3877, 269, 6969, 11362, 4514, 883, 4359, 2934, 6035, 676, 14069 ]

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

[ 729, 2507, 513, 627, 25891, 476, 1724, 20271, 2510, 4769, 685, 344, 21898, 547, 8917, 269, 769, 1249, 267, 972, 941, 513, 6071, 476, 16409, 20271, 894, 16018, 5641, 602, 1554, 269, 6904, 1797, 9291, 595, 268, 7906, 1223, 723, 1044, 20366, 1524, 563, 296, 1174, 1762, 3807, 514, 2558, 8775, 879, 814, 2944, 4986, 855, 2322, 1010, 3723, 538, 621, 593, 713, 835, 269, 3571, 3375, 547, 1489, 9291, 595, 268, 7906, 543, 519, 17860, 1145, 952, 1010, 1585, 1175, 5874, 723, 3366, 547, 513, 1434, 569, 2179, 540, 10982, 599, 856, 1934, 538, 519, 1158, 1141, 4961, 616, 14126, 827, 519, 544, 5297, 2530, 540, 3540, 23118, 4947, 938, 1259, 563, 3719, 3079, 540, 556, 4621, 18790, 1010, 2990, 267, 6004, 269, 570, 25653, 538, 1010, 31623, 543, 27229, 10288, 1010, 631, 11679, 547, 1246, 1010, 1291, 538, 5885, 519, 32685, 528, 560, 9086, 4516, 814, 2479, 2938, 269, 2558, 8775, 879, 779, 30671, 547, 1394, 3950, 538, 519, 3068, 540, 5013, 568, 24188, 540, 6004, 269, 21972, 752, 2469, 1524, 609, 1010, 1378, 6928, 538, 519, 2063, 14411, 9550, 269, 9320, 6004, 269, 2558, 8775, 879, 568, 14126, 646, 1522, 581, 15034, 540, 695, 11035, 6879, 958, 532, 952, 646, 4957, 1010, 2247, 269, 2107, 3168, 4617, 267, 610, 18174, 880, 267, 610, 8726, 563, 3719, 519, 1249, 3788, 267, 519, 835, 3364, 6004, 269, 2558, 8775, 879, 1522, 723, 2944, 547, 11222, 4106, 622, 5128, 543, 1010, 5428, 779, 8458, 1131, 723, 1044, 547, 23900, 19597, 622, 11685, 547, 519, 32049, 9086, 269, 1403, 646, 814, 5249, 547, 2327, 1169, 2582, 1875, 15926, 969, 894, 12463, 20366, 1996, 9291, 595, 268, 7906, 646, 1131, 723, 3144, 5413, 540, 6004, 269, 22489, 779, 13398, 5142, 630, 1492, 812, 5128, 4769, 1406, 1256, 21898, 547, 1397, 909, 543, 8917, 585, 1010, 1378, 10555, 17318, 9291, 264, 543, 20366, 9291, 595, 268, 7906, 1524, 563, 9617, 514, 2558, 8775, 879, 4503, 856, 593, 513, 5929, 4316, 547, 1205, 519, 4212, 1055, 1010, 3068, 676, 3478, 9291, 595, 268, 7906, 16207, 856, 269, 1403, 646, 8952, 713, 909, 267, 646, 786, 581, 18822, 952, 1010, 5428, 21314, 547, 13793, 593, 547, 8772, 1747, 4567, 2097, 5239, 563, 7069, 2338, 2097, 689, 7046, 12057, 779, 966, 1774, 1948, 4375, 276, 593, 2904, 476, 277, 628, 267, 476, 1001, 276, 454, 312, 2464, 966, 5588, 2464, 12971, 966, 5588, 2464, 9474, 4306, 2894, 16739, 454, 299, 537, 529, 1773, 600, 5064, 19863, 324, 4793, 787, 454, 312, 2464, 966, 5588, 2464, 12971, 966, 5588, 2464, 9474, 4306, 2894, 16739, 454, 291, 1014, 324, 2806, 23127, 322, 5414, 18281, 12138, 454, 15812, 1520, 2401, 3223, 603, 12891, 7615, 454, 8867, 7431, 3397, 1663, 330, 6390, 336, 3627, 645, 1515, 323, 454, 25405, 19186, 553, 20717, 576, 645, 622, 2006, 454, 19604, 1245, 1325, 3691, 19816, 18536, 9466, 454, 300, 833, 19395, 14339, 25362, 3626, 334, 613, 454, 1805, 7578, 19264, 2401, 25599, 29325, 330, 14259, 454, 305, 7431, 19264, 13427, 15537, 22489, 454, 21659, 1656, 619, 15608, 20182, 454, 21837, 18722, 8061, 5407, 1744, 800, 454, 291, 1511, 11709, 918, 652, 7967, 454, 30681, 11709, 10753, 534, 454, 2690, 806, 1696, 667, 2946, 332, 4531, 520, 773, 454, 312, 2464, 966, 5588, 2464, 12971, 966, 5588, 2464, 9474, 4306, 2894, 16739, 454, 269, 14639, 6363, 3757, 9809, 12251, 30038, 846, 14639, 6363, 3757, 9809, 12251, 10783, 514, 454, 312, 2464, 966, 5588, 2464, 12971, 966, 5588, 2464, 9474, 4306, 2894, 16739, 454, 269, 23745, 5754, 518, 454, 269, 10906, 2904, 454, 312, 2464, 966, 5588, 2464, 12971, 966, 5588, 2464, 9474, 4306, 2894, 16739, 454, 9928, 2714, 12448, 338, 7136, 24982, 623, 659, 31899, 1656, 28584, 13852, 822, 766, 454, 299, 28515, 9549, 540, 4516, 454, 312, 2464, 966, 5588, 2464, 12971, 966, 5588, 2464, 9474, 4306, 2894, 16739, 454, 292, 557, 17566, 15168, 787, 1635, 337, 928, 454, 300, 4768, 559, 645, 2946, 9734, 28199, 26960, 454, 10111, 565, 2106, 26999, 9116, 700, 1047, 853, 5937, 523, 529, 454, 312, 2464, 966, 5588, 2464, 12971, 966, 5588, 2464, 9474, 4306, 2894, 16739, 454, 269, 29346, 19395, 570, 10455, 821, 645, 839, 7219, 454, 269, 24898, 4911, 639, 24839, 15243, 454, 269, 715, 5942, 12891, 2023, 2441, 710, 18703, 454, 269, 5981, 2311, 16120, 523, 14150, 16205, 268, 4517, 28584, 5651, 514, 454, 269, 7917, 589, 889, 514, 27526, 1723, 548, 5695, 17745, 454, 269, 6754, 2088, 15718, 8403, 454, 269, 932, 1301, 12578, 645, 3073, 454, 305, 3578, 31130, 645, 4592, 572, 879, 454, 303, 18824, 667, 542, 928, 6997, 16279, 454, 305, 657, 2033, 16910, 2946, 700, 1030, 20623, 341, 516, 454, 269, 1325, 664, 717, 580, 340, 27056, 454, 269, 7338, 25109, 322, 1515, 454, 2304, 928, 3687, 327, 268, 1320, 340, 2372, 778, 454, 9213, 972, 786, 581, 513, 17547, 9291, 595, 268, 7906, 15292, 538, 28881, 518, 1496, 1877, 779, 513, 4786, 2639, 3519, 1356, 2740, 4961, 786, 4734, 27293, 5244, 693, 476, 276, 281, 876, 10975, 543, 15292, 547, 15117, 5244, 563, 763, 15292, 786, 581, 4553, 676, 4901, 543, 513, 3046, 2041, 4302, 538, 15117, 5244, 563, 4002, 14349, 972, 786, 581, 513, 5254, 8008, 645, 21135, 595, 268, 7906, 12164, 23615, 294, 9970, 693, 12057, 10830, 267, 17501, 569, 693, 519, 5274, 7126, 31790, 267, 1141, 7255, 4961, 786, 13889, 713, 23487, 995, 6069, 9086, 630, 9690, 569, 1354, 519, 14130, 264, 602, 786, 11904, 8225, 3540, 2924, 20038, 2495, 1652, 269, 5019, 3949, 786, 1586, 581, 4371, 538, 513, 4516, 22453, 667, 17751, 5508, 8028, 3582, 269, 1703, 616, 21772, 1373, 11231, 547, 1491, 7255, 4961, 689, 17842, 547, 31747, 563, 4692, 6598, 3540, 2924, 616, 9277, 547, 581, 6870, 676, 519, 8225, 9291, 540, 7126, 5189, 676, 20271, 894, 11788, 10579, 3627, 667, 3971, 523, 321, 6033, 543, 519, 8225, 25943, 540, 7126, 543, 6154, 539, 1682, 267, 851, 540, 519, 8225, 9139, 1065, 27074, 730, 676, 27565, 11788, 10579, 24839, 2558, 8775, 879, 269, 1452, 2924, 649, 723, 616, 1759, 593, 519, 17629, 16672, 540, 5274, 7126, 563, 1607, 568, 10691, 513, 851, 16388, 3390, 267, 713, 568, 513, 8225, 3390, 281, 649, 20231, 991, 3540, 2924, 563, 2005, 568, 16155, 796, 6247, 6627, 547, 21556, 891, 2924, 267, 543, 2943, 6004, 269, 22489, 4566, 547, 798, 621, 19037, 630, 663, 814, 1044, 865, 2484, 1044, 17847, 2685, 6462, 676, 519, 27565, 9549, 4700, 9877, 540, 6645, 596, 1018, 519, 22489, 6554, 14659, 540, 938, 9139, 563, 763, 7354, 2209, 616, 8197, 851, 16388, 799, 814, 1044, 8810, 942, 543, 1586, 607, 11788, 3687, 8651, 689, 20574, 25109, 337, 2292, 547, 14639, 932, 337, 18863, 1329, 547, 15537, 22489, 723, 8810, 676, 10518, 532, 519, 14130, 1586, 543, 1586, 543, 1586, 607, 519, 14130, 2488, 922, 12285, 16826, 547, 5051, 3983, 9086, 563, 1805, 686, 6137, 23671, 540, 3540, 543, 1480, 2924, 20038, 786, 711, 1118, 721, 2922, 282, 602, 568, 519, 8262, 17389, 563, 290, 2753, 2924, 2149, 721, 563, 2252, 519, 14130, 5205, 2059, 899, 13265, 593, 606, 3390, 540, 713, 9588, 267, 606, 3390, 602, 16716, 693, 519, 2295, 540, 1169, 8225, 267, 621, 1131, 759, 895, 5944, 6961, 602, 972, 568, 1100, 4126, 585, 713, 1560, 547, 2479, 1683, 23671, 609, 865, 828, 2034, 2219, 267, 543, 594, 786, 6368, 2097, 547, 3858, 609, 6004, 269, 25109, 322, 1515, 779, 9837, 547, 4894, 621, 689, 519, 8225, 2797, 5251, 950, 1010, 715, 7894, 3029, 2229, 713, 2887, 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 ]

[ 815, 1582, 6983, 691, 318, 767, 1315, 476, 1015, 269, 271, 454, 1038, 1533, 314, 273, 316, 815, 1582, 4877, 3421, 314, 271, 4940, 4120, 1315, 476, 271, 269, 277, 2764, 31696, 454, 1038, 1533, 314, 274, 316, 815, 1582, 4877, 3421, 314, 271, 4940, 767, 1315, 476, 276, 269, 271, 454, 1038, 1533, 314, 275, 316, 815, 1582, 4877, 3421, 314, 272, 4940, 4120, 1315, 476, 271, 269, 277, 2764, 31696, 454, 1038, 1533, 314, 276, 316, 815, 1582, 4877, 3421, 314, 272, 4940, 767, 1315, 476, 1724, 269, 271, 454, 1038, 2132, 1533, 692, 825, 1219, 7047, 318, 3147, 14682, 1508, 318, 767, 4311, 267, 7047, 318, 767, 2187, 1038, 533, 318, 1721, 806, 815, 476, 271, 269, 271, 454, 1038, 2698, 21223, 8997, 7272, 3421, 8548, 817, 815, 476, 271, 269, 271, 454, 1038, 585, 533, 538, 1582, 4877, 3421, 912, 2018, 10889, 815, 1582, 4877, 6958, 878, 2608, 533, 269, 767, 1315, 630, 335, 6230, 817, 2608, 533, 19544, 318, 6352, 264, 1341, 1582, 3052, 571, 6143, 2608, 5609, 9638, 269, 4120, 994, 2018, 3196, 815, 533, 6230, 817, 2608, 533, 19544, 318, 6352, 2608, 533, 269, 767, 1262, 273, 2608, 5609, 9638, 269, 4120, 264, 1341, 595, 4097, 2608, 533, 6230, 817, 2608, 5430, 9638, 269, 4120, 264, 2608, 10889, 454, 2018, 533, 318, 1721, 806, 6834, 3196, 454, 2018, 2698, 21223, 8997, 7272, 3421, 8548, 817, 6834, 533, 6230, 817, 2608, 630, 272, 910, 595, 4097, 2608, 5430, 9638, 269, 4120, 264, 1262, 273, 2020, 1038, 7047, 318, 3147, 815, 1582, 269, 1952, 29736, 318, 4403, 910, 1582, 6983, 691, 6958, 878, 2608, 5286, 4732, 793, 6262, 691, 318, 767, 264, 1341, 533, 318, 1721, 806, 454, 1038, 7047, 318, 3147, 1315, 284, 1582, 6983, 691, 8548, 817, 1341, 2698, 21223, 8997, 7272, 3421, 8548, 817, 692, 1038, 2132, 7047, 318, 3147, 692, 825, 1219, 15393, 318, 3147, 14682, 1508, 318, 767, 4311, 267, 533, 267, 15393, 318, 767, 2187, 1038, 533, 269, 3147, 815, 910, 290, 4097, 9706, 19544, 318, 6352, 2608, 630, 1345, 6983, 691, 318, 3147, 2608, 5430, 9638, 269, 4120, 264, 30492, 4449, 3546, 1582, 3052, 571, 6143, 2608, 5609, 9638, 269, 4120, 264, 1341, 1582, 4877, 6958, 878, 2608, 15393, 318, 767, 1315, 630, 335, 6230, 817, 2608, 533, 19544, 318, 6352, 4917, 1038, 2132, 533, 269, 3147, 692, 825, 1219, 9337, 26077, 4311, 2187, 1038, 1582, 28333, 6834, 1582, 28333, 14067, 788, 692, 1038, 1582, 6983, 691, 318, 767, 815, 2196, 613, 17624, 583, 3279, 275, 4311, 6983, 691, 318, 767, 267, 1582, 6983, 691, 318, 3147, 14682, 1508, 318, 767, 267, 1582, 28333, 14067, 788, 994, 1038, 585, 15393, 538, 1582, 4877, 3421, 912, 2018, 15393, 269, 767, 815, 2196, 613, 17624, 583, 3279, 275, 318, 1721, 7272, 3421, 9638, 1961, 267, 1582, 4877, 1961, 318, 3147, 14682, 1508, 318, 767, 267, 1582, 28333, 14067, 788, 2020, 1038, 1582, 6983, 691, 318, 3147, 815, 1582, 6983, 691, 318, 3147, 14682, 1508, 318, 767, 4311, 6983, 691, 318, 767, 2020, 1038, 1582, 6983, 691, 29223, 6834, 1582, 28333, 14067, 788, 2608, 1582, 6983, 691, 318, 767, 692, 1038, 585, 15393, 538, 1582, 4877, 3421, 912, 2018, 15393, 269, 4120, 6834, 1582, 28333, 14067, 788, 2608, 15393, 269, 767, 454, 2018, 1582, 4877, 1961, 318, 3147, 14682, 1508, 318, 767, 9638, 1961, 267, 15393, 269, 767, 2020, 1038, 952, 711, 910, 1345, 6745, 571, 1188, 318, 3916, 527, 10922, 1582, 6983, 691, 29223, 10922, 1582, 6745, 571, 1188, 318, 3916, 527, 912, 2018, 1582, 8807, 9229, 815, 6936, 454, 2018, 1948, 1820, 3488, 9199, 1188, 3970, 3111, 693, 3299, 1582, 6983, 691, 29223, 2020, 1038, 585, 533, 538, 1582, 4877, 3421, 912, 2018, 952, 711, 910, 1345, 4877, 6958, 19691, 318, 4120, 10922, 533, 269, 4120, 10922, 1582, 4877, 6958, 19691, 318, 4120, 912, 3546, 1582, 8807, 9229, 815, 6936, 454, 3546, 1948, 1820, 3488, 303, 1961, 3111, 3299, 533, 19544, 318, 6352, 267, 533, 269, 4120, 994, 3546, 1948, 2132, 454, 2018, 952, 711, 910, 295, 3201, 293, 318, 18444, 10922, 533, 269, 4120, 10922, 670, 3201, 293, 318, 18444, 912, 3546, 952, 533, 269, 4120, 3436, 670, 3201, 293, 318, 18444, 912, 7386, 533, 269, 4120, 815, 670, 3201, 293, 318, 18444, 454, 3546, 8640, 533, 269, 4120, 2999, 910, 295, 3201, 293, 318, 18444, 912, 7386, 533, 269, 4120, 815, 910, 295, 3201, 293, 318, 18444, 454, 3546, 533, 269, 767, 2608, 284, 910, 271, 269, 280, 454, 0, 5228, 7510, 13906, 9884, 785, 578, 1104, 32001, 692, 30720, 815, 32001, 4590, 916, 326, 284, 3403, 2891, 6518, 3662, 798, 596, 1616, 547, 1294, 8119, 2020, 534, 2711, 284, 30720, 269, 22056, 318, 4944, 1679, 10797, 604, 20444, 326, 2525, 257, 335, 580, 13426, 825, 3662, 269, 13548, 6889, 335, 580, 26666, 4840, 604, 20444, 326, 2525, 257, 7806, 13426, 825, 3662, 269, 13548, 6889, 7806, 26666, 4840, 604, 20444, 326, 2525, 257, 339, 9528, 13426, 825, 3662, 269, 13548, 6889, 339, 9528, 26666, 4840, 604, 20444, 326, 2525, 257, 25717, 13426, 825, 3662, 269, 13548, 6889, 25717, 26666, 5016, 21653, 284, 3403, 2891, 6011, 827, 519, 2450, 286, 19515, 534, 2711, 269, 29173, 284, 15615, 4433, 1125, 9239, 343, 284, 3403, 2891, 6011, 827, 519, 1535, 286, 5602, 534, 2711, 11859, 284, 15615, 3287, 9239, 344, 284, 3403, 2891, 6011, 827, 519, 586, 286, 5602, 534, 2711, 13885, 284, 15615, 12169, 2020, 320, 284, 6358, 2891, 6011, 827, 519, 10047, 5602, 534, 2711, 269, 8527, 566, 284, 15615, 5416, 2020, 2745, 263, 534, 2711, 11859, 2437, 2437, 267, 534, 2711, 13885, 267, 534, 2711, 269, 13548, 267, 534, 2711, 269, 29173, 267, 534, 2711, 269, 8527, 566, 2020, 30720, 269, 14725, 3890, 0, 3698, 2241, 17653, 1807, 29222, 28399, 825, 840, 272, 815, 476, 272, 1477, 825, 840, 273, 815, 476, 272, 1477, 825, 2040, 19368, 815, 476, 272, 1477, 825, 6556, 2040, 19368, 1477, 825, 585, 1775, 538, 2039, 630, 271, 267, 476, 276, 8029, 1038, 6556, 2040, 19368, 1477, 1038, 2040, 19368, 815, 840, 272, 1341, 840, 273, 1477, 1038, 840, 272, 815, 840, 273, 1477, 1038, 840, 273, 815, 2040, 19368, 5897, 1721, 1871, 538, 2241, 17653, 1807, 29222, 28399, 825, 1820, 263, 7407, 3418, 672, 0, 1477, 3698, 1293, 263, 3916, 527, 8029, 825, 524, 815, 476, 271, 1477, 825, 1247, 524, 10922, 3970, 281, 5897, 1038, 6556, 524, 1477, 1038, 524, 6834, 476, 272, 5897, 2102, 815, 1293, 263, 274, 3418, 2745, 630, 10113, 263, 2102, 17903, 2745, 630, 10113, 263, 2102, 17903, 2745, 630, 10113, 263, 2102, 17903, 2745, 630, 10113, 263, 2102, 17903, 2745, 630, 10113, 263, 2102, 17903, 2745, 630, 10113, 263, 2102, 17903, 258, 585, 1775, 538, 1024, 6769, 258, 672, 1820, 630, 328, 10142, 0, 5814, 2979, 692, 19399, 10310, 5992, 2971, 7462, 454, 7462, 2475, 2207, 667, 9128, 2562, 3633, 14030, 16875, 476, 7462, 454, 19399, 10310, 5992, 2971, 7462, 692, 258, 7464, 9577, 454, 3698, 535, 3287, 2187, 825, 2132, 2979, 269, 6523, 3287, 2020, 258, 16186, 454, 343, 318, 9792, 815, 1496, 271, 267, 476, 272, 269, 273, 6540, 258, 11352, 454, 4650, 815, 476, 274, 692, 258, 2473, 20976, 1493, 454, 343, 318, 1952, 815, 476, 271, 269, 276, 692, 19399, 10310, 5992, 2971, 7462, 454, 7462, 8668, 2207, 9569, 14030, 17264, 476, 7462, 454, 19399, 10310, 5992, 2971, 7462, 692, 14310, 815, 476, 271, 454, 21163, 815, 630, 343, 318, 9792, 314, 272, 316, 910, 1535, 318, 9792, 314, 271, 8079, 1315, 1931, 692, 1721, 1775, 538, 2039, 263, 4650, 1341, 476, 272, 2187, 825, 1535, 26371, 815, 1535, 318, 9792, 314, 271, 316, 1341, 1775, 2608, 1900, 454, 825, 586, 26371, 815, 535, 3287, 26371, 994, 825, 1003, 815, 476, 272, 454, 825, 3954, 636, 815, 476, 272, 454, 825, 585, 795, 538, 2039, 263, 4650, 1341, 476, 272, 2187, 1038, 952, 9217, 2525, 329, 2567, 3136, 454, 1038, 1535, 318, 852, 815, 1535, 318, 9792, 314, 271, 316, 1341, 795, 2608, 1900, 454, 1038, 1003, 2608, 284, 1535, 318, 1952, 910, 1535, 318, 852, 454, 1038, 3954, 636, 2608, 284, 1535, 26371, 910, 1535, 318, 852, 454, 825, 1267, 6834, 586, 26371, 2608, 1003, 1315, 3954, 636, 692, 2745, 3488, 4910, 738, 2433, 22207, 1267, 264 ]

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

[ 1557, 267, 689, 922, 2596, 4214, 547, 519, 1883, 4162, 602, 1118, 585, 606, 2502, 543, 2500, 1557, 269, 476, 1704, 2123, 3594, 602, 786, 1689, 707, 1272, 1589, 3594, 616, 1175, 1945, 19309, 596, 2328, 585, 1362, 891, 25704, 786, 1118, 596, 11207, 556, 29264, 563, 2252, 707, 7084, 568, 547, 2328, 513, 2123, 1557, 267, 596, 666, 798, 621, 1134, 609, 891, 476, 279, 4388, 585, 1603, 513, 2123, 1557, 602, 31438, 476, 279, 3268, 547, 1603, 519, 3501, 2123, 1557, 476, 279, 3268, 547, 269, 3245, 2048, 331, 1161, 685, 547, 2048, 19640, 2648, 685, 281, 1603, 2123, 3594, 609, 948, 689, 519, 1007, 26294, 2053, 855, 1705, 596, 917, 602, 562, 344, 9392, 1260, 849, 5781, 2934, 2123, 1603, 593, 513, 1747, 585, 269, 4828, 3932, 1806, 875, 547, 1439, 606, 1557, 949, 581, 513, 16602, 2243, 267, 2523, 952, 707, 4081, 3446, 5673, 593, 519, 1957, 596, 616, 2324, 593, 596, 1058, 1902, 930, 942, 543, 4674, 269, 18567, 540, 513, 2123, 14436, 1557, 621, 568, 3483, 995, 14436, 1603, 1281, 711, 1611, 795, 31857, 1524, 29578, 540, 4555, 607, 789, 1402, 883, 707, 2212, 269, 15689, 540, 519, 2123, 1557, 713, 960, 676, 1490, 662, 600, 1762, 6280, 268, 573, 22840, 568, 13931, 896, 513, 3860, 862, 976, 5316, 1081, 5991, 517, 1260, 14293, 476, 1789, 796, 19959, 12689, 3723, 518, 563, 1700, 26051, 4162, 1557, 1107, 663, 723, 606, 968, 28436, 892, 1557, 630, 2254, 18593, 2567, 519, 2189, 6381, 610, 1272, 2833, 1557, 512, 332, 1091, 553, 17022, 3498, 3594, 3040, 26051, 3948, 3040, 18314, 269, 476, 276, 4388, 585, 1603, 513, 1434, 2239, 1557, 676, 28479, 766, 1603, 1603, 513, 2239, 1557, 568, 606, 1898, 13007, 585, 2361, 1382, 2864, 982, 2040, 2719, 1919, 909, 585, 707, 5467, 267, 621, 269, 12726, 2564, 1153, 2123, 6898, 1205, 7608, 547, 707, 1283, 3903, 2564, 1153, 609, 707, 8903, 1557, 1224, 476, 1015, 3732, 3594, 269, 7454, 2626, 281, 972, 616, 2596, 3604, 1063, 513, 2123, 1557, 267, 799, 568, 5059, 593, 513, 3661, 610, 5813, 827, 1272, 602, 568, 1713, 547, 519, 5856, 267, 543, 519, 1079, 824, 3029, 540, 2123, 563, 288, 2123, 1557, 568, 11295, 899, 1034, 2757, 2947, 24733, 4588, 3594, 596, 1376, 609, 606, 2606, 5037, 602, 5713, 607, 513, 4990, 540, 4155, 4786, 585, 707, 1557, 269, 18567, 540, 1114, 2010, 540, 1557, 281, 4063, 281, 609, 782, 519, 2010, 540, 17720, 4640, 5018, 2630, 267, 649, 616, 711, 6158, 827, 1557, 2010, 267, 855, 827, 17720, 6163, 799, 269, 589, 2123, 1557, 568, 513, 1650, 4904, 609, 4606, 267, 4992, 267, 16198, 267, 6252, 547, 803, 267, 6252, 547, 3025, 11214, 9361, 1524, 693, 513, 2780, 563, 12709, 3732, 3594, 2123, 2189, 4162, 1383, 23504, 1557, 593, 835, 781, 2189, 7907, 5528, 2433, 1018, 7907, 610, 2189, 4162, 798, 596, 4865, 602, 1131, 269, 14484, 633, 1557, 676, 4214, 568, 513, 2186, 540, 1603, 602, 3340, 519, 2278, 547, 1217, 519, 5467, 827, 1010, 610, 1200, 10182, 267, 2856, 610, 12705, 3823, 513, 2016, 1888, 4244, 569, 269, 1323, 1557, 568, 513, 5888, 602, 1219, 1742, 513, 2990, 610, 6644, 267, 849, 1572, 513, 5098, 267, 602, 814, 1044, 2322, 8521, 676, 519, 2278, 711, 1152, 1058, 606, 1557, 6542, 707, 2949, 1702, 540, 519, 269, 0, 5804, 476, 3707, 273, 547, 476, 3707, 276, 267, 721, 3744, 5249, 593, 513, 5728, 1982, 1572, 519, 812, 21908, 1788, 519, 1101, 10570, 10514, 1011, 3941, 693, 620, 600, 690, 867, 334, 267, 1007, 30067, 4815, 593, 5104, 569, 476, 1626, 267, 476, 3707, 276, 26119, 941, 3710, 538, 554, 534, 5112, 267, 11067, 2023, 543, 18073, 25170, 267, 512, 16612, 606, 7650, 540, 519, 1883, 2621, 540, 1158, 2112, 13797, 269, 476, 3199, 267, 1822, 910, 1004, 945, 5747, 14678, 538, 554, 30090, 267, 30978, 267, 593, 27362, 476, 277, 267, 476, 3707, 276, 267, 950, 519, 1101, 2479, 10570, 10514, 729, 1031, 538, 2112, 519, 3009, 2012, 269, 476, 277, 267, 476, 3707, 276, 1310, 602, 12556, 995, 1554, 267, 519, 2497, 729, 519, 1152, 3364, 1869, 7555, 538, 519, 519, 1101, 6046, 10514, 5921, 547, 6146, 3425, 1011, 10757, 936, 554, 30090, 267, 30978, 267, 593, 713, 2376, 786, 2689, 875, 6046, 23038, 960, 267, 1519, 875, 789, 2811, 3710, 1547, 476, 277, 267, 476, 3707, 276, 267, 519, 721, 12628, 513, 2706, 14049, 593, 554, 30090, 267, 30978, 267, 543, 9250, 513, 693, 476, 279, 281, 1428, 993, 267, 519, 12284, 12628, 519, 1101, 10570, 10514, 1031, 538, 29053, 267, 959, 3861, 1223, 711, 11716, 519, 1249, 602, 519, 3375, 547, 1628, 519, 10514, 693, 513, 1942, 540, 1269, 273, 30740, 713, 2070, 941, 11673, 540, 519, 2164, 540, 519, 4323, 11783, 1358, 4312, 1044, 1472, 2094, 519, 1101, 10570, 10514, 729, 12628, 593, 554, 30090, 593, 11160, 476, 277, 267, 476, 3707, 276, 6046, 4255, 538, 519, 683, 341, 3385, 9390, 1500, 25487, 12269, 513, 1455, 8289, 538, 968, 30061, 15483, 18571, 892, 630, 3707, 276, 1070, 28489, 32364, 650, 731, 14415, 564, 563, 301, 13086, 9604, 543, 519, 15583, 566, 540, 519, 4411, 2112, 267, 476, 3707, 276, 268, 3422, 273, 2223, 538, 9642, 818, 928, 7178, 611, 1282, 1158, 2112, 13797, 267, 1614, 2477, 4956, 547, 1628, 519, 10570, 10514, 281, 1547, 634, 1101, 10570, 23038, 941, 2966, 543, 3710, 693, 513, 3135, 538, 17485, 620, 32115, 267, 16354, 267, 593, 5104, 569, 476, 1626, 267, 476, 3707, 276, 267, 519, 1158, 9411, 519, 6046, 2085, 609, 519, 1033, 29396, 540, 519, 1101, 269, 808, 29122, 1727, 523, 10773, 267, 1419, 1572, 519, 1412, 15289, 540, 519, 10570, 10514, 10086, 3366, 519, 812, 21908, 1788, 267, 519, 1982, 602, 2919, 519, 1101, 6046, 14049, 1282, 1158, 2112, 1310, 29997, 532, 689, 1010, 2022, 538, 476, 3707, 276, 267, 646, 2968, 519, 28579, 540, 519, 7819, 3282, 1119, 1723, 517, 795, 875, 731, 22153, 718, 13797, 1500, 24657, 609, 1010, 563, 29619, 519, 8087, 2829, 1033, 517, 730, 1079, 10570, 23038, 936, 519, 29534, 4872, 1982, 1282, 1158, 2112, 13797, 602, 2919, 543, 3710, 891, 1101, 10570, 23038, 593, 5104, 569, 476, 1626, 267, 476, 3707, 276, 519, 1101, 6046, 10514, 729, 1033, 517, 730, 538, 519, 2038, 6640, 269, 2201, 27362, 476, 277, 267, 476, 3707, 276, 267, 519, 8087, 2829, 4957, 519, 3068, 540, 13137, 950, 621, 12628, 606, 2229, 1982, 4646, 547, 31205, 1628, 543, 1449, 606, 10570, 10514, 27362, 476, 277, 267, 3707, 276, 281, 519, 1101, 10570, 10514, 547, 581, 1031, 607, 513, 14049, 568, 12628, 593, 7650, 18083, 1004, 2046, 522, 3387, 644, 338, 2006, 28303, 269, 11137, 554, 30090, 10969, 730, 676, 513, 476, 1724, 4893, 582, 517, 6046, 16411, 5045, 21562, 3710, 5722, 6046, 9604, 1210, 713, 1374, 267, 855, 2357, 604, 22239, 24905, 1194, 476, 1626, 5104, 569, 476, 3707, 276, 267, 721, 4255, 1101, 6046, 3926, 267, 9625, 736, 737, 339, 267, 726, 583, 28016, 5579, 8531, 267, 959, 6541, 269, 10812, 519, 1283, 5498, 4038, 7819, 1788, 547, 1628, 519, 1158, 781, 1101, 10570, 10514, 538, 5104, 569, 476, 3707, 276, 267, 17485, 620, 32115, 3744, 6707, 1011, 10757, 519, 1101, 10570, 10514, 269, 8616, 267, 2094, 476, 3707, 276, 267, 950, 519, 721, 12628, 10570, 23038, 593, 30978, 267, 13314, 814, 1044, 3238, 538, 519, 737, 17671, 2112, 267, 519, 642, 28126, 2112, 267, 519, 1101, 575, 5285, 563, 2026, 519, 1283, 5498, 4038, 1544, 547, 1628, 519, 10514, 267, 1572, 519, 812, 21908, 1788, 267, 3576, 2808, 519, 1101, 10570, 22342, 267, 14646, 1309, 597, 333, 29589, 729, 5555, 513, 9006, 7431, 1232, 11736, 540, 513, 476, 3707, 275, 5048, 7000, 602, 1344, 10503, 269, 634, 5305, 540, 1079, 10570, 23038, 593, 30978, 538, 27362, 476, 3707, 276, 5280, 1439, 1158, 2112, 13797, 855, 2394, 13314, 781, 1101, 3811, 10570, 10514, 1449, 538, 5104, 569, 476, 3707, 276, 267, 922, 3003, 968, 1492, 10514, 1500, 621, 2009, 585, 519, 8087, 2829, 547, 798, 8726, 621, 4941, 538, 27164, 6337, 602, 9676, 811, 982, 4397, 3698, 6873, 269, 11660, 23484, 538, 519, 476, 4350, 271, 338, 1500, 10570, 10514, 2504, 2009, 950, 27437, 1147, 16781, 1229, 538, 949, 476, 3707, 276, 267, 519, 812, 21908, 1788, 1185, 711, 711, 547, 581, 7983, 821, 267, 519, 865, 341, 2884, 9769, 1011, 10757, 922, 1101, 22243, 3000, 13086, 563, 2304, 568, 5361, 328, 20987, 538, 861, 6319, 814, 12628, 519, 1101, 6046, 10514, 18611, 538, 11439, 4655, 2094, 519, 721, 12628, 10570, 23038, 593, 554, 30090, 543, 562, 698, 30245, 538, 476, 3707, 276, 267, 540, 519, 1625, 19959, 6046, 16411, 855, 1714, 3660, 922, 3312, 6609, 267, 855, 741, 1867, 849, 1500, 1100, 2446, 540, 1022, 6046, 1033, 29396, 269, 2311, 476, 1556, 281, 6349, 993, 593, 27362, 476, 280, 267, 476, 3707, 276, 267, 519, 7819, 536, 268, 3066, 2706, 3228, 816, 536, 4169, 8364, 267, 538, 3406, 540, 1007, 17633, 941, 3710, 267, 543, 1007, 13039, 607, 1134, 267, 2094, 519, 22344, 1007, 3889, 941, 849, 6659, 607, 18189, 338, 267, 971, 607, 519, 10570, 10514, 9754, 562, 698, 30245, 3788, 1101, 543, 19466, 513, 2823, 2749, 267, 5885, 513, 3638, 11288, 269, 674, 2153, 267, 519, 2596, 1184, 602, 2306, 6046, 9604, 2009, 267, 729, 1101, 4362, 538, 23891, 4231, 540, 602, 1032, 267, 513, 21997, 676, 519, 2012, 540, 9267, 614, 536, 6139, 1500, 513, 269, 9741, 7911, 10514, 12628, 593, 554, 30090, 267, 1500, 609, 20879, 268, 20720, 689, 18073, 25170, 4070, 10986, 945, 20651, 519, 575, 730, 8664, 689, 476, 3707, 273, 547, 476, 3707, 276, 1648, 267, 799, 2488, 513, 8748, 7650, 540, 519, 2749, 781, 29053, 2250, 2601, 519, 5544, 729, 6074, 585, 519, 812, 21908, 1788, 538, 519, 1101, 1747, 269, 634, 2360, 540, 513, 6046, 10514, 4096, 513, 2603, 593, 519, 4463, 540, 519, 1033, 29396, 8185, 3710, 6405, 5656, 267, 543, 28896, 1935, 476, 1911, 2600, 538, 1134, 518, 7322, 781, 6609, 267, 519, 1034, 32049, 2460, 540, 554, 30090, 729, 519, 1004, 4769, 1405, 8275, 693, 1101, 602, 741, 2749, 1185, 1044, 5734, 676, 513, 6046, 14049, 563, 23871, 6541, 729, 519, 3009, 2012, 540, 519, 1101, 1033, 29396, 540, 513, 6046, 14049, 621, 729, 5342, 676, 519, 8087, 2829, 7952, 693, 476, 276, 281, 3066, 993, 593, 5104, 569, 476, 1626, 267, 476, 3707, 276, 267, 513, 3490, 3786, 729, 9112, 267, 543, 972, 941, 476, 28883, 1004, 1459, 593, 519, 15964, 540, 519, 1449, 519, 3009, 2012, 519, 8654, 2360, 581, 1375, 1563, 6609, 519, 2898, 2197, 269, 670, 30090, 267, 30978, 281, 27362, 476, 277, 628, 267, 476, 3707, 276, 519, 10570, 10514, 8593, 476, 6110, 7397, 689, 513, 10918, 6881, 593, 6249, 281, 554, 30090, 543, 562, 698, 30245, 519, 1101, 543, 1152, 946, 540, 6046, 9604, 538, 1158, 1686, 621, 3576, 13977, 1296, 547, 1628, 713, 26720, 593, 1870, 1544, 533, 696, 593, 6216, 6725, 4214, 533, 696, 593, 1158, 6561, 1554, 269, 12846, 267, 519, 4589, 3494, 602, 19580, 781, 6046, 9604, 6006, 335, 850, 814, 649, 5173, 602, 811, 982, 476, 10219, 267, 1822, 6046, 2112, 21650, 723, 1044, 3710, 2094, 476, 3707, 276, 267, 609, 476, 7871, 737, 2077, 27255, 568, 513, 1071, 27236, 547, 519, 1158, 6046, 4229, 7650, 538, 519, 2104, 3463, 267, 519, 5756, 6619, 281, 476, 1960, 280, 1700, 1708, 271, 2223, 729, 1101, 4080, 676, 269, 634, 1158, 781, 1101, 6046, 9604, 16411, 593, 5104, 569, 476, 1626, 267, 476, 3707, 276, 267, 538, 1007, 30067, 4815, 267, 855, 621, 9307, 547, 519, 1158, 602, 15242, 1185, 519, 3621, 917, 24376, 547, 1628, 513, 563, 293, 8986, 602, 562, 21532, 27437, 1131, 1628, 543, 946, 513, 6046, 14049, 1282, 1158, 1079, 540, 799, 267, 2370, 7911, 543, 3170, 812, 267, 941, 1031, 1996, 30978, 538, 27362, 476, 3707, 276, 519, 3375, 547, 6749, 519, 1101, 10570, 10514, 593, 30978, 786, 2611, 4143, 547, 938, 269, 12834, 543, 4214, 281, 519, 10570, 10514, 568, 513, 6046, 14049, 602, 606, 10570, 10514, 593, 519, 1004, 540, 554, 30090, 267, 30978, 593, 27362, 476, 277, 267, 476, 3707, 276, 543, 835, 593, 519, 1101, 1449, 540, 519, 10570, 10514, 729, 1500, 1282, 519, 812, 21908, 1788, 593, 5104, 569, 476, 1626, 11783, 769, 27362, 476, 3707, 276, 267, 519, 8087, 2829, 12628, 1079, 10570, 23038, 936, 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 ]

[ 0, 12385, 24136, 2433, 1975, 5390, 654, 902, 454, 763, 3483, 540, 713, 7084, 568, 547, 1020, 1053, 685, 5759, 454, 1729, 9192, 519, 1702, 540, 10855, 7194, 4988, 538, 1284, 4060, 454, 272, 543, 476, 273, 543, 835, 1606, 2217, 8367, 4152, 547, 1118, 31707, 454, 20657, 2888, 269, 769, 713, 7084, 267, 1053, 786, 1020, 519, 2702, 547, 454, 2224, 8579, 2079, 543, 13182, 2436, 610, 711, 513, 3409, 568, 4570, 454, 29592, 10229, 621, 563, 267, 1975, 5390, 654, 902, 8865, 5530, 267, 1975, 5390, 654, 902, 4578, 5590, 454, 14946, 320, 476, 10384, 30087, 8579, 2079, 563, 5825, 26433, 20696, 7194, 547, 12337, 513, 2268, 540, 454, 704, 18504, 3627, 666, 946, 547, 5659, 1010, 6765, 2773, 269, 4855, 454, 1492, 1739, 585, 707, 3800, 912, 26668, 5991, 3784, 5758, 593, 519, 2698, 942, 454, 3519, 2265, 320, 6101, 8367, 4152, 547, 948, 3627, 454, 20657, 728, 2436, 547, 2709, 519, 6765, 10018, 610, 711, 563, 15307, 574, 520, 9220, 5506, 540, 606, 1931, 2921, 3476, 454, 22474, 476, 1789, 3764, 563, 13014, 320, 16252, 538, 513, 2110, 2239, 454, 10175, 519, 1739, 912, 17780, 593, 519, 25541, 1239, 267, 1058, 3627, 2709, 519, 454, 1432, 2600, 540, 519, 14349, 5838, 625, 1131, 1267, 538, 513, 454, 322, 2396, 518, 8391, 513, 1863, 1931, 888, 1432, 7840, 1522, 948, 3627, 2087, 1010, 14349, 454, 26705, 20365, 7084, 5812, 609, 14905, 3898, 269, 0, 2171, 723, 14406, 1373, 1927, 2336, 763, 1453, 538, 1032, 476, 272, 543, 1032, 476, 273, 19632, 2221, 547, 1589, 543, 2671, 2093, 1472, 938, 2898, 1153, 1445, 540, 2048, 21430, 23600, 1041, 2146, 513, 1732, 1747, 10200, 1284, 14437, 827, 519, 2262, 10198, 543, 1018, 621, 1797, 630, 13510, 12310, 1306, 14517, 729, 513, 2731, 3730, 13622, 14386, 543, 875, 649, 666, 946, 938, 943, 4577, 1983, 540, 6031, 543, 3280, 532, 547, 2328, 621, 563, 2171, 14437, 827, 1018, 2186, 540, 1153, 649, 4941, 543, 4956, 649, 4941, 513, 2186, 1153, 267, 865, 3838, 2093, 827, 1018, 1142, 540, 721, 1223, 798, 547, 1118, 2386, 713, 5949, 269, 1306, 649, 723, 2097, 547, 2503, 267, 519, 4555, 543, 2093, 519, 1453, 3357, 909, 609, 941, 2731, 1134, 2808, 563, 763, 1032, 476, 273, 338, 4941, 547, 957, 607, 1909, 3631, 547, 519, 1032, 476, 272, 543, 865, 24574, 1229, 909, 547, 2671, 741, 681, 6874, 830, 6947, 1983, 607, 1134, 607, 741, 2093, 1472, 1018, 1373, 2186, 1131, 1413, 899, 563, 296, 4126, 594, 6557, 2111, 547, 2661, 909, 547, 741, 1383, 2336, 2026, 513, 851, 540, 938, 1032, 476, 272, 5912, 267, 519, 1032, 476, 272, 338, 723, 1044, 11836, 4229, 609, 519, 1032, 476, 273, 338, 547, 1711, 741, 1378, 1297, 6125, 3450, 3756, 269, 634, 1032, 476, 272, 338, 723, 1336, 856, 811, 827, 1018, 621, 779, 899, 1373, 513, 1032, 476, 273, 543, 4280, 2055, 547, 741, 1032, 476, 273, 2319, 269, 23794, 272, 723, 849, 2097, 1927, 547, 1711, 741, 1378, 1297, 6125, 3756, 8151, 689, 968, 4462, 545, 27163, 543, 700, 5417, 619, 892, 547, 12805, 3556, 3756, 269, 1284, 723, 5059, 593, 1210, 16542, 543, 938, 681, 6066, 1983, 547, 2671, 2093, 543, 1711, 938, 3756, 269, 898, 814, 1044, 8748, 7487, 519, 1453, 23712, 543, 7836, 942, 3695, 519, 1032, 476, 273, 2230, 563, 1103, 938, 1686, 1565, 267, 519, 1032, 476, 272, 338, 723, 1044, 3695, 875, 8075, 723, 4957, 2429, 1686, 269, 1284, 3323, 476, 1220, 271, 1296, 3516, 538, 519, 11635, 6520, 3168, 693, 875, 5321, 941, 1500, 1510, 9486, 1210, 16095, 12450, 543, 3574, 269, 634, 1453, 941, 14281, 547, 1265, 856, 602, 2831, 267, 971, 607, 13265, 849, 5030, 538, 519, 2777, 1932, 256, 1284, 849, 8268, 590, 19414, 5321, 543, 16972, 5321, 563, 2171, 6743, 5702, 693, 570, 31122, 5321, 543, 875, 789, 941, 9112, 269, 634, 1453, 1287, 1185, 513, 979, 693, 4058, 741, 1378, 570, 31122, 5321, 607, 513, 2319, 269, 8921, 267, 519, 2319, 5249, 1927, 547, 1711, 741, 1378, 570, 31122, 8075, 1210, 1018, 789, 1185, 4121, 269, 4495, 519, 1453, 1185, 8737, 741, 3785, 267, 649, 11117, 519, 8075, 543, 5941, 1018, 649, 1131, 798, 8335, 1985, 942, 563, 8310, 3368, 2165, 267, 519, 1453, 6068, 2542, 519, 1433, 968, 24730, 779, 31733, 331, 748, 6925, 892, 543, 941, 6273, 547, 1711, 741, 1378, 11955, 543, 1494, 687, 269, 1677, 1376, 609, 930, 540, 519, 1362, 1031, 1114, 3688, 689, 938, 9205, 1858, 971, 607, 267, 6371, 267, 16095, 267, 3762, 267, 1216, 267, 5810, 2507, 543, 2322, 873, 883, 1494, 687, 14569, 269, 1284, 849, 2813, 1494, 687, 547, 1689, 519, 15437, 540, 2326, 538, 938, 7990, 17063, 20004, 4603, 563, 4002, 938, 3803, 3018, 267, 649, 4956, 547, 1711, 938, 1378, 17580, 1494, 687, 269, 634, 1453, 5249, 538, 2516, 547, 6430, 1018, 729, 2469, 883, 741, 5347, 773, 1494, 542, 269, 1733, 12241, 1818, 519, 968, 25924, 5608, 789, 1500, 3664, 827, 1018, 741, 4915, 1131, 798, 952, 2576, 1743, 1678, 621, 563, 2080, 616, 930, 540, 519, 1453, 779, 2093, 912, 268, 621, 1223, 1118, 596, 8038, 454, 268, 621, 1223, 1118, 596, 16756, 454, 268, 621, 1223, 1118, 596, 7544, 454, 268, 621, 1223, 1118, 596, 15835, 454, 268, 621, 1223, 1118, 596, 627, 11170, 454, 1432, 1131, 707, 4915, 798, 888, 763, 3141, 568, 856, 543, 621, 568, 6157, 4743, 899, 4832, 2336, 1103, 5729, 476, 272, 267, 649, 723, 1044, 11981, 2921, 938, 1603, 3544, 1210, 519, 1216, 543, 5862, 1962, 16640, 563, 2171, 723, 1031, 519, 17981, 607, 13093, 30937, 14604, 630, 821, 3280, 538, 1142, 4009, 264, 543, 519, 1185, 513, 979, 693, 1603, 938, 1913, 269, 1411, 723, 547, 581, 2656, 538, 519, 3002, 607, 18148, 1336, 856, 2336, 1607, 568, 1945, 596, 1522, 899, 547, 2119, 693, 1753, 952, 596, 616, 3168, 585, 513, 1187, 1259, 540, 1603, 15029, 519, 3141, 568, 3905, 563, 1692, 26752, 941, 649, 547, 723, 606, 12784, 1373, 7038, 539, 676, 519, 12359, 553, 32591, 8562, 639, 2336, 2005, 729, 8748, 547, 1294, 12359, 553, 543, 808, 3415, 5885, 519, 1453, 538, 1565, 1007, 1983, 543, 2348, 1187, 563, 763, 1453, 1185, 606, 12784, 540, 993, 10270, 618, 543, 10508, 607, 789, 941, 2111, 547, 2119, 1007, 1983, 543, 941, 27762, 2476, 676, 519, 9735, 2773, 269, 1284, 616, 1869, 6158, 827, 1018, 649, 4718, 563, 2252, 4896, 6499, 547, 1294, 519, 2773, 267, 649, 4076, 2322, 513, 3381, 540, 621, 909, 593, 519, 1362, 5616, 15858, 2985, 269, 7490, 4585, 621, 609, 707, 1453, 543, 2911, 609, 873, 827, 519, 5863, 1995, 789, 1185, 563, 14187, 6640, 5729, 476, 272, 338, 2336, 1607, 568, 4440, 835, 540, 519, 2063, 2053, 594, 786, 581, 28551, 596, 607, 5729, 476, 272, 338, 607, 538, 5181, 649, 786, 581, 22205, 596, 1394, 607, 5729, 476, 273, 338, 256, 4270, 2944, 267, 596, 723, 782, 13324, 707, 1259, 998, 547, 519, 3803, 1614, 2395, 540, 938, 4832, 2165, 269, 8409, 540, 596, 594, 723, 1185, 519, 12257, 540, 7487, 936, 519, 2250, 1906, 4374, 267, 596, 723, 2944, 513, 16854, 2816, 543, 723, 14661, 547, 513, 10169, 8966, 1153, 6296, 13085, 569, 269, 3962, 540, 596, 723, 2322, 476, 1911, 260, 883, 707, 1565, 543, 666, 979, 883, 519, 4832, 4743, 1360, 10583, 540, 707, 2383, 269, 8409, 540, 596, 594, 723, 711, 2943, 2938, 267, 594, 723, 6068, 6217, 827, 543, 7487, 930, 540, 519, 8748, 1565, 596, 723, 1044, 3257, 693, 1753, 256, 4270, 2944, 547, 3025, 630, 332, 27186, 267, 546, 5417, 625, 267, 19946, 267, 14552, 267, 6264, 8001, 267, 14077, 267, 2828, 2507, 782, 3769, 14386, 585, 6849, 513, 4101, 3510, 609, 971, 25273, 799, 814, 2016, 891, 2250, 476, 275, 3275, 865, 1082, 1159, 3796, 543, 6126, 8823, 269, 594, 993, 865, 9599, 547, 1294, 3025, 1927, 1586, 538, 5181, 267, 649, 616, 2469, 547, 723, 513, 9735, 476, 277, 4374, 563, 2026, 649, 2212, 883, 938, 3803, 1614, 2395, 972, 616, 513, 1906, 540, 1919, 602, 594, 1175, 4941, 547, 7618, 596, 540, 7498, 20058, 267, 2385, 29492, 616, 2921, 1747, 593, 13638, 543, 13723, 713, 3018, 269, 8409, 540, 596, 945, 723, 16761, 513, 5870, 1058, 723, 4607, 513, 5048, 609, 513, 942, 18921, 269, 634, 5870, 786, 581, 606, 4316, 585, 721, 547, 2161, 32597, 543, 723, 513, 6952, 909, 1354, 649, 2212, 883, 519, 4832, 14812, 269, 11427, 645, 684, 576, 786, 2743, 543, 26250, 596, 693, 519, 10766, 543, 3391, 596, 883, 938, 5870, 2230, 269, 6969, 543, 1310, 1142, 5870, 267, 782, 7515, 543, 23107, 786, 581, 19345, 269, 7490, 3346, 803, 3842, 519, 3896, 610, 676, 6049, 952, 596, 723, 1022, 2055, 563, 30789, 538, 3346, 269, 3807, 547, 7618, 596, 602, 649, 616, 1934, 538, 1153, 11728, 547, 13723, 713, 3018, 952, 972, 568, 4376, 593, 707, 2247, 610, 4376, 596, 1131, 899, 547, 2911, 827, 563, 7661, 267, 1175, 5373, 707, 3007, 547, 519, 1689, 540, 1453, 779, 5181, 2132, 269, 5753, 786, 581, 13059, 593, 13638, 476, 279, 628, 540, 5181, 543, 786, 581, 13059, 547, 519, 5729, 476, 272, 4259, 607, 5729, 476, 273, 338, 2394, 519, 5239, 3368, 2165, 269, 2991, 519, 3368, 2165, 267, 789, 786, 581, 28006, 883, 519, 5729, 476, 273, 4259, 563, 3383, 256, 13115, 334, 713, 3018, 779, 2238, 269, 901, 3018, 594, 723, 711, 1305, 513, 6249, 267, 855, 1131, 16436, 596, 547, 2992, 593, 930, 540, 519, 2238, 596, 723, 10150, 519, 1034, 713, 3018, 269, 898, 814, 1044, 2731, 4277, 609, 938, 942, 6170, 1927, 538, 1153, 547, 1294, 930, 540, 707, 4690, 1020, 689, 968, 10267, 325, 892, 630, 9767, 917, 945, 596, 616, 256, 1070, 547, 519, 19511, 1404, 3843, 547, 15972, 519, 14914, 645, 22324, 610, 1818, 513, 19389, 8602, 585, 513, 15743, 563, 7476, 6158, 547, 2576, 538, 707, 1920, 269, 1548, 723, 596, 10150, 286, 5808, 723, 596, 10150, 621, 609, 286, 1548, 1500, 621, 1187, 286, 8571, 513, 4605, 538, 707, 5851, 4804, 1433, 540, 707, 19463, 8823, 543, 2626, 519, 2055, 896, 707, 5373, 563, 8266, 523, 547, 968, 763, 670, 4007, 20045, 540, 1937, 1845, 892, 1650, 269, 4179, 2517, 344, 719, 340, 269, 2041, 270, 279, 304, 342, 292, 5308, 289, 329, 302, 339, 279, 2991, 596, 723, 19557, 547, 519, 1650, 267, 2911, 1927, 827, 7498, 1432, 4523, 952, 649, 1810, 1406, 6432, 547, 938, 4606, 630, 342, 528, 1845, 267, 10845, 25145, 1432, 543, 945, 5280, 808, 10154, 538, 519, 1650, 888, 3963, 621, 568, 1732, 952, 649, 2995, 2576, 827, 938, 19048, 2864, 982, 4420, 1782, 873, 909, 888, 3725, 817, 675, 602, 4352, 930, 4606, 616, 2731, 2048, 15927, 8730, 13943, 267, 2352, 610, 18473, 282, 972, 568, 1100, 971, 3364, 607, 513, 3983, 4743, 269, 1358, 782, 2048, 339, 749, 721, 685, 1945, 543, 991, 547, 581, 19557, 547, 563, 5970, 513, 979, 693, 1818, 707, 1378, 968, 342, 13446, 9126, 892, 1927, 1210, 1022, 9126, 596, 723, 1472, 519, 2777, 610, 596, 1522, 1616, 547, 1118, 543, 30164, 835, 563, 23737, 602, 952, 596, 616, 13347, 610, 14126, 827, 2576, 610, 1945, 596, 666, 2328, 610, 2721, 621, 593, 513, 4062, 540, 1957, 543, 2322, 621, 538, 519, 5855, 9126, 563, 8196, 519, 634, 670, 4007, 20045, 540, 1937, 1845, 6656, 547, 2721, 513, 4605, 540, 1018, 519, 19048, 1522, 1413, 899, 952, 789, 941, 5855, 28749, 563, 8923, 3136, 547, 645, 1872, 743, 889, 585, 3232, 2542, 543, 18551, 3756, 563, 8923, 946, 1912, 9582, 7591, 547, 1569, 519, 717, 1905, 22351, 17726, 2558, 10118, 630, 1492, 1286, 3014, 264, 543, 570, 4459, 344, 6478, 18114, 269, 8298, 514, 568, 281, 15292, 736, 10426, 5320, 281, 1753, 454, 25594, 547, 1569, 18917, 645, 2572, 1125, 13174, 11545, 4245, 693, 4179, 2517, 4178, 269, 6277, 322, 16691, 16896, 11486, 2572, 1125, 270, 14895, 270, 345, 15590, 279, 326, 278, 327, 454, 7476, 3742, 256, 2052, 596, 946, 930, 1919, 1472, 707, 2777, 547, 1711, 707, 1378, 21677, 1576, 286, 7420, 2576, 538, 707, 1920, 547, 2347, 707, 1576, 269, 5384, 873, 547, 1294, 875, 3728, 789, 666, 798, 621, 269, 2052, 596, 10726, 741, 942, 888, 8923, 3136, 547, 2671, 1007, 1913, 1927, 269, 1284, 2648, 547, 5873, 827, 519, 1007, 1913, 596, 723, 4362, 2336 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 782, 835, 538, 2441, 4906, 269, 476, 3066, 1656, 952, 9493, 581, 2441, 781, 267, 1287, 616, 9493, 454, 288, 3630, 5069, 781, 6079, 267, 543, 646, 15077, 2687, 547, 519, 9153, 563, 2005, 729, 607, 952, 519, 546, 27681, 540, 513, 13414, 950, 8834, 12038, 912, 16898, 476, 1015, 281, 4097, 3267, 8170, 513, 5168, 594, 13498, 454, 7474, 2696, 568, 1100, 2463, 518, 540, 7606, 281, 476, 3374, 1809, 538, 1169, 4182, 646, 602, 905, 732, 628, 1864, 267, 543, 960, 996, 454, 2431, 15667, 1145, 267, 568, 7608, 609, 1864, 269, 8616, 15584, 1185, 5143, 873, 1279, 1354, 281, 16692, 308, 476, 1015, 281, 1704, 1862, 1492, 7083, 454, 20365, 2696, 568, 2696, 540, 10971, 267, 3267, 6518, 2543, 996, 711, 7606, 31972, 763, 6196, 11620, 568, 938, 6561, 1175, 607, 568, 519, 1715, 269, 634, 31050, 602, 10271, 917, 568, 454, 1492, 1482, 4414, 9851, 518, 602, 12038, 547, 3504, 5840, 912, 26721, 476, 4366, 281, 1626, 3267, 296, 723, 711, 9275, 538, 5728, 689, 519, 454, 8218, 940, 282, 689, 519, 942, 602, 621, 729, 267, 972, 993, 594, 281, 543, 1631, 519, 7083, 717, 7495, 267, 543, 1010, 13336, 267, 554, 987, 2366, 454, 1889, 269, 476, 1704, 4935, 1094, 603, 519, 28789, 267, 16815, 4414, 9851, 518, 267, 519, 10513, 2290, 540, 5840, 282, 594, 993, 519, 28789, 16815, 2696, 799, 454, 974, 5995, 628, 26899, 547, 7443, 267, 799, 1291, 996, 26899, 676, 519, 1259, 602, 23524, 1058, 652, 979, 563, 1103, 6158, 827, 519, 2621, 540, 519, 31519, 267, 6754, 7150, 912, 272, 4596, 476, 1015, 281, 1556, 1862, 16269, 616, 2854, 585, 938, 454, 611, 3000, 819, 267, 2390, 7247, 519, 7475, 540, 519, 1158, 616, 2097, 269, 1215, 666, 789, 4019, 547, 721, 286, 6333, 875, 454, 1492, 1004, 540, 5840, 941, 593, 519, 1490, 1074, 540, 10024, 519, 16219, 2244, 267, 855, 1317, 540, 796, 10964, 3971, 941, 454, 1718, 655, 2740, 547, 32603, 585, 476, 2412, 1296, 269, 3973, 267, 540, 519, 7366, 540, 5215, 945, 2451, 5527, 267, 1152, 1079, 454, 325, 3373, 9411, 268, 26056, 543, 595, 1446, 321, 269, 4653, 267, 649, 1932, 267, 616, 593, 519, 1490, 1074, 540, 519, 16219, 2244, 268, 855, 713, 454, 5503, 267, 519, 31676, 835, 269, 4024, 649, 4283, 888, 3918, 309, 476, 2420, 281, 1691, 645, 1652, 539, 616, 789, 602, 798, 1010, 4971, 906, 2676, 7474, 789, 949, 723, 1318, 547, 519, 3529, 540, 1272, 267, 543, 949, 4283, 538, 998, 519, 19235, 883, 519, 2749, 269, 0, 3080, 540, 519, 13655, 540, 519, 2296, 1893, 6368, 6045, 563, 272, 2304, 17580, 9341, 7286, 3165, 602, 814, 513, 11329, 24609, 539, 2212, 609, 519, 4064, 17479, 593, 519, 1283, 267, 3335, 3276, 8089, 538, 519, 26026, 539, 609, 1175, 519, 4064, 6029, 563, 268, 2048, 306, 638, 573, 267, 2759, 1479, 8127, 267, 4216, 8127, 267, 29097, 7590, 543, 6366, 21650, 666, 581, 1336, 1851, 519, 22586, 6810, 19028, 268, 2048, 310, 5793, 10068, 568, 1434, 1631, 543, 2063, 3018, 15134, 972, 941, 1082, 8716, 5359, 540, 20688, 267, 9925, 267, 1786, 600, 267, 6366, 3650, 543, 3109, 8127, 19028, 268, 2048, 2791, 917, 267, 649, 4312, 1044, 1934, 782, 1554, 543, 594, 4312, 1044, 10068, 585, 513, 7008, 540, 3108, 267, 649, 4312, 3893, 3670, 610, 5216, 627, 1746, 543, 513, 6366, 3650, 267, 865, 972, 781, 7401, 19028, 268, 2048, 763, 9642, 6366, 3650, 609, 11174, 1786, 600, 616, 1373, 9575, 538, 519, 8933, 19028, 268, 2048, 1103, 713, 1858, 267, 5010, 29940, 786, 711, 581, 2111, 547, 3077, 16351, 2249, 971, 607, 627, 1746, 267, 1786, 600, 267, 6366, 3650, 543, 15273, 869, 599, 19028, 273, 288, 4759, 540, 1978, 3345, 1977, 4095, 9082, 971, 607, 519, 25590, 809, 267, 932, 24934, 1177, 267, 543, 6428, 880, 267, 3957, 689, 741, 9277, 2259, 540, 24609, 532, 741, 1453, 781, 9843, 31567, 563, 268, 2048, 1103, 476, 6942, 276, 3186, 3482, 13164, 540, 25065, 21650, 543, 623, 754, 546, 262, 20957, 14792, 941, 10296, 883, 4563, 10623, 564, 8513, 19028, 268, 2048, 293, 3985, 1489, 2965, 9450, 693, 21862, 839, 781, 1985, 23372, 4674, 267, 519, 18774, 19835, 15521, 609, 519, 623, 754, 546, 262, 20957, 14792, 267, 25065, 21650, 267, 543, 918, 2393, 6511, 529, 19028, 268, 2048, 19013, 585, 519, 918, 2393, 6511, 529, 543, 519, 25065, 21650, 267, 1256, 1310, 585, 3101, 2673, 24816, 543, 23578, 1927, 585, 8994, 3354, 267, 519, 4563, 10623, 564, 1869, 16397, 873, 267, 11318, 1082, 543, 27560, 741, 9640, 543, 5370, 19028, 268, 2048, 14503, 520, 3650, 8783, 8841, 15189, 547, 1847, 1010, 6512, 689, 519, 645, 7867, 10174, 9503, 267, 519, 18577, 22657, 540, 519, 25065, 21650, 19028, 268, 2048, 3528, 519, 4571, 5991, 12078, 2540, 267, 789, 1185, 14593, 741, 14763, 267, 3226, 519, 1744, 9655, 821, 267, 25065, 3650, 267, 543, 918, 2393, 523, 2967, 267, 7178, 2066, 519, 27743, 15142, 19028, 274, 4785, 607, 1110, 8595, 630, 1993, 606, 2599, 264, 2348, 519, 17901, 543, 8141, 11690, 338, 538, 519, 12718, 3625, 2864, 982, 519, 12718, 2212, 267, 799, 568, 9247, 513, 6366, 6676, 563, 268, 2048, 296, 723, 513, 1412, 2004, 16110, 4584, 1575, 609, 513, 27762, 6366, 3650, 538, 621, 19028, 268, 2048, 2005, 1185, 519, 9885, 7143, 4765, 9505, 543, 519, 8122, 2759, 1055, 267, 543, 621, 729, 13324, 676, 513, 6006, 6366, 3650, 19028, 268, 476, 274, 269, 272, 630, 1993, 513, 6174, 264, 2348, 513, 6366, 3650, 2599, 563, 275, 4785, 607, 1110, 8595, 630, 1993, 513, 17684, 264, 27669, 6064, 563, 268, 2048, 2080, 781, 1018, 476, 274, 3764, 543, 513, 6366, 3650, 17684, 323, 18182, 6913, 19028, 268, 2048, 4415, 513, 1507, 6366, 3650, 17684, 323, 18182, 267, 9900, 533, 787, 519, 5397, 1863, 19028, 268, 2048, 2791, 949, 991, 547, 946, 513, 6366, 3650, 17684, 323, 18182, 267, 855, 1100, 991, 547, 5855, 827, 12238, 3101, 856, 707, 3993, 4580, 607, 972, 568, 513, 17684, 323, 18182, 18921, 547, 946, 19028, 268, 2048, 2414, 946, 513, 1907, 21658, 267, 513, 6366, 3650, 543, 513, 29928, 2212, 17684, 323, 18182, 616, 1312, 17684, 323, 31034, 543, 789, 666, 1312, 948, 803, 1628, 1919, 19028, 268, 2048, 2690, 519, 1101, 1906, 17787, 267, 621, 6035, 513, 8799, 2370, 8929, 540, 19911, 28101, 267, 855, 1310, 476, 14625, 3764, 540, 1379, 3440, 6758, 594, 1032, 2740, 547, 25888, 1079, 6366, 3650, 17684, 323, 31034, 883, 1250, 10772, 19028, 268, 2048, 763, 17157, 568, 3833, 13888, 267, 543, 786, 2154, 513, 6366, 3650, 17684, 323, 18182, 547, 3888, 267, 855, 621, 3884, 1405, 1932, 2352, 20866, 19028, 268, 2048, 2414, 2973, 519, 14743, 267, 10544, 513, 1507, 6366, 3650, 17684, 9920, 630, 1492, 1483, 1507, 3283, 264, 543, 669, 529, 601, 519, 13897, 1055, 19028, 268, 2048, 7212, 10380, 568, 2653, 267, 596, 2811, 2469, 547, 991, 513, 6366, 3650, 17684, 323, 18182, 547, 1205, 891, 1055, 952, 596, 1616, 547, 1689, 11655, 19028, 268, 2048, 9515, 15504, 856, 1200, 23129, 267, 799, 15538, 540, 1614, 5491, 6486, 267, 513, 1906, 11113, 267, 1945, 602, 6743, 20716, 899, 513, 11290, 4584, 543, 513, 6094, 6366, 3650, 17684, 323, 18182, 19028, 268, 2048, 763, 1770, 814, 513, 3490, 1796, 7923, 547, 621, 602, 666, 581, 6569, 3842, 513, 2582, 6366, 3650, 17684, 19028, 268, 2048, 2005, 781, 899, 2348, 1312, 513, 6366, 3650, 543, 29928, 17684, 323, 18182, 538, 707, 1907, 7901, 19028, 268, 2048, 763, 1062, 568, 865, 2241, 782, 596, 991, 547, 2322, 621, 1927, 568, 513, 8325, 17927, 30893, 1057, 267, 513, 24362, 543, 513, 6366, 3650, 17684, 323, 18182, 19028, 268, 2048, 5278, 24056, 1810, 1405, 2154, 2645, 267, 6466, 1866, 2154, 513, 6366, 3650, 17684, 323, 18182, 19028, 268, 2048, 3891, 3096, 513, 11741, 6366, 3650, 17684, 323, 18182, 547, 533, 787, 1930, 519, 561, 2255, 267, 543, 1287, 646, 5402, 10741, 519, 8470, 19028, 268, 2048, 294, 1836, 554, 8504, 519, 2582, 17157, 547, 513, 561, 1872, 593, 835, 2427, 540, 519, 23094, 267, 594, 1287, 7444, 12628, 519, 26439, 334, 883, 1747, 543, 1031, 513, 6366, 3650, 17684, 323, 18182, 547, 3728, 523, 519, 17157, 547, 519, 824, 561, 1872, 19028, 1103, 713, 2376, 649, 2263, 875, 547, 23666, 12820, 609, 513, 5544, 6823, 22008, 269, 0, 309, 534, 8759, 543, 11709, 20275, 454, 309, 534, 8759, 568, 519, 1034, 1158, 17028, 7458, 8137, 269, 898, 568, 5833, 689, 519, 10365, 540, 513, 9341, 11903, 540, 12593, 29877, 269, 634, 10365, 693, 7556, 798, 711, 723, 519, 8984, 29877, 32709, 855, 3340, 27955, 3157, 547, 3489, 519, 29877, 32709, 269, 5472, 27955, 2409, 4125, 2185, 2596, 11775, 912, 268, 12070, 1154, 610, 11318, 540, 519, 10365, 602, 13515, 519, 2067, 7929, 10307, 543, 3543, 894, 1272, 540, 519, 10540, 563, 268, 31687, 908, 519, 27315, 1540, 10365, 799, 3322, 513, 9425, 4028, 18024, 543, 3500, 18829, 269, 634, 8984, 8137, 7135, 10953, 1934, 1282, 799, 14836, 267, 4307, 11169, 267, 8709, 20275, 7623, 616, 2919, 676, 679, 9195, 1738, 543, 1875, 10276, 9195, 1738, 5114, 563, 268, 667, 11538, 540, 4418, 730, 10365, 693, 1360, 7444, 693, 513, 2539, 2837, 547, 476, 736, 268, 1839, 260, 7509, 563, 268, 16448, 532, 540, 519, 12015, 10365, 538, 6806, 10833, 585, 513, 1906, 3275, 1141, 789, 9096, 519, 1646, 540, 741, 8984, 32709, 563, 309, 534, 8759, 11621, 281, 11709, 8759, 1349, 568, 519, 1152, 7657, 1681, 1570, 609, 513, 2475, 15111, 3044, 540, 3961, 269, 898, 568, 3769, 538, 519, 3009, 540, 8549, 19938, 630, 2641, 290, 15709, 268, 15433, 1916, 309, 534, 8759, 6987, 3555, 543, 10979, 31201, 9208, 281, 11709, 8759, 4441, 729, 2919, 543, 1596, 592, 326, 730, 21276, 543, 538, 2673, 6935, 609, 10979, 31201, 9208, 263, 2641, 4211, 15709, 268, 13670, 269, 8099, 1916, 763, 21458, 540, 10979, 31201, 568, 8200, 593, 519, 1826, 540, 7657, 1681, 1031, 563, 268, 21145, 594, 630, 2641, 290, 15709, 268, 13670, 2187, 309, 534, 8759, 10979, 31201, 3568, 1152, 6986, 29877, 3334, 543, 1100, 5841, 10366, 563, 268, 21145, 4083, 630, 2641, 290, 15709, 268, 13670, 2187, 309, 534, 8759, 4672, 8645, 666, 581, 7657, 1819, 609, 909, 547, 821, 26412, 540, 10991, 8709, 20275, 829, 1770, 540, 29877, 1349, 269, 901, 568, 513, 2067, 543, 5841, 1587, 543, 13042, 29877, 7657, 1819, 10979, 8645, 563, 268, 21145, 8633, 630, 2641, 290, 15709, 268, 13670, 2187, 296, 576, 8645, 3568, 15866, 610, 14311, 606, 5841, 29877, 7657, 1681, 602, 2882, 3119, 10991, 8709, 20275, 269, 901, 1587, 1590, 581, 13042, 14464, 569, 7657, 1819, 610, 14464, 29877, 563, 268, 11709, 8759, 2142, 753, 281, 11709, 8759, 10365, 616, 4857, 607, 519, 5265, 23174, 543, 12015, 4829, 1790, 16104, 540, 11709, 8759, 1544, 604, 16288, 538, 29877, 3044, 476, 2641, 4211, 15709, 268, 15433, 269, 274, 269, 11709, 8759, 6987, 847, 338, 543, 11709, 8759, 18120, 10249, 281, 634, 12576, 540, 519, 3044, 568, 3238, 609, 10503, 538, 2489, 2474, 875, 519, 1349, 568, 1500, 543, 1018, 824, 5820, 666, 581, 1031, 269, 898, 849, 11225, 824, 2472, 1644, 547, 6986, 29877, 1349, 630, 6343, 13054, 873, 543, 875, 789, 666, 581, 13042, 1916, 268, 11709, 8759, 1349, 630, 2169, 26167, 609, 4568, 1916, 268, 11709, 8759, 7657, 1681, 630, 2169, 26167, 609, 4568, 994, 268, 24517, 3603, 29877, 7657, 1681, 630, 2169, 26167, 609, 4568, 994, 268, 11709, 8759, 8869, 630, 7224, 4568, 568, 1031, 994, 268, 11709, 8759, 13305, 534, 20275, 1349, 630, 2169, 26167, 609, 4568, 994, 268, 11709, 8759, 13305, 534, 20275, 7657, 1681, 630, 2169, 26167, 609, 4568, 994, 268, 11709, 8759, 13305, 534, 20275, 8869, 630, 309, 534, 20275, 949, 581, 5833, 609, 610, 1510, 4568, 994, 763, 811, 1713, 3948, 538, 519, 3044, 267, 799, 1058, 581, 7074, 267, 2154, 602, 519, 8737, 1349, 723, 1100, 1447, 982, 476, 3374, 260, 2802, 2643, 4568, 543, 3568, 1100, 1447, 982, 835, 1770, 540, 29877, 21167, 829, 20645, 269, 1703, 568, 1100, 3662, 6508, 5820, 616, 1031, 538, 519, 1657, 2472, 563, 309, 3198, 6579, 6369, 23166, 27345, 9338, 4596, 295, 5357, 912, 268, 1715, 10613, 540, 6987, 10330, 281, 7073, 2409, 540, 10868, 616, 1031, 971, 607, 2706, 322, 15560, 3327, 8166, 10868, 543, 9258, 23015, 2670, 585, 5834, 269, 1452, 2409, 3132, 3730, 2472, 585, 4853, 7657, 1681, 855, 789 ]

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

[ 1974, 630, 8201, 476, 274, 1040, 634, 4282, 31298, 729, 3160, 547, 476, 271, 269, 14065, 799, 568, 519, 12939, 547, 17551, 3095, 720, 607, 21465, 585, 31298, 269, 634, 2034, 942, 1974, 1185, 519, 10545, 630, 866, 269, 275, 524, 300, 264, 31298, 7161, 4553, 676, 519, 1101, 543, 3791, 5712, 609, 476, 2420, 269, 276, 543, 476, 2767, 269, 273, 524, 300, 267, 6606, 269, 9717, 602, 649, 1185, 835, 19301, 303, 1169, 9625, 272, 269, 3953, 524, 300, 543, 519, 2034, 942, 1974, 1185, 519, 10545, 31298, 7161, 609, 476, 866, 269, 275, 524, 300, 630, 8201, 476, 274, 1070, 649, 6059, 602, 476, 1428, 19301, 11679, 729, 513, 1434, 19406, 585, 519, 6885, 2450, 538, 519, 688, 7120, 4286, 10636, 27340, 13920, 630, 295, 3891, 264, 543, 519, 2500, 1297, 540, 688, 7120, 4885, 630, 11190, 324, 264, 9382, 269, 670, 3891, 9672, 602, 519, 2034, 1974, 1185, 519, 5207, 4763, 609, 606, 3328, 670, 3891, 2066, 782, 688, 7120, 4885, 540, 476, 271, 269, 279, 2412, 267, 4553, 676, 519, 1101, 1974, 609, 670, 3891, 815, 476, 271, 269, 279, 3066, 543, 1287, 519, 3791, 1974, 609, 670, 3891, 1871, 540, 476, 271, 269, 279, 2767, 269, 6684, 267, 22743, 324, 2418, 540, 476, 280, 269, 271, 267, 476, 1015, 269, 273, 267, 543, 476, 279, 269, 279, 941, 5833, 585, 519, 1101, 267, 2034, 543, 3791, 5712, 267, 6606, 563, 8201, 476, 274, 269, 13017, 720, 1669, 638, 10329, 9178, 538, 589, 267, 645, 267, 543, 667, 25450, 607, 1134, 607, 2898, 11646, 540, 8241, 28212, 5950, 538, 1114, 942, 5712, 269, 634, 8880, 1899, 4564, 519, 31298, 12939, 563, 17471, 1323, 6827, 787, 540, 8241, 5453, 520, 454, 763, 20963, 1805, 4450, 543, 5084, 11085, 311, 307, 13543, 9382, 4951, 13380, 2164, 543, 9672, 519, 15285, 540, 28212, 5950, 1310, 476, 3192, 271, 630, 8993, 999, 476, 275, 288, 32390, 282, 22955, 590, 273, 267, 590, 274, 1040, 1306, 5892, 7150, 267, 649, 941, 711, 2111, 547, 7447, 519, 1297, 540, 5817, 5095, 1210, 513, 3444, 29705, 9179, 1935, 269, 1280, 713, 2601, 267, 649, 11567, 519, 19427, 540, 519, 5207, 476, 736, 260, 8298, 6441, 1731, 9685, 2418, 693, 1142, 918, 1739, 2142, 9618, 1696, 620, 269, 630, 1001, 271, 264, 547, 2303, 519, 1034, 21483, 918, 1871, 4433, 1040, 634, 1034, 21483, 918, 609, 713, 1505, 24132, 689, 476, 273, 547, 476, 280, 607, 1134, 607, 476, 1321, 269, 634, 737, 24578, 753, 2079, 4951, 602, 476, 1321, 729, 519, 1034, 21483, 918, 547, 4766, 938, 2551, 630, 8201, 590, 275, 288, 264, 1247, 519, 667, 4338, 290, 14649, 7120, 4951, 513, 2312, 9668, 540, 519, 476, 1321, 2516, 5833, 676, 5084, 11085, 311, 307, 13543, 2079, 630, 8201, 590, 275, 289, 1040, 5047, 267, 519, 3328, 674, 560, 1871, 585, 519, 476, 1321, 1016, 25364, 729, 3160, 547, 476, 271, 269, 7367, 10834, 602, 789, 723, 1164, 15285, 269, 634, 20963, 1805, 4450, 2079, 7000, 476, 4343, 1016, 16647, 2827, 630, 8368, 590, 272, 264, 7265, 1229, 538, 1079, 2101, 804, 3547, 267, 1354, 476, 3192, 271, 543, 1310, 476, 3192, 271, 609, 5634, 6772, 2355, 269, 7612, 476, 275, 288, 2982, 519, 20963, 1805, 4450, 24159, 540, 519, 476, 4343, 5095, 543, 519, 5084, 11085, 311, 307, 13543, 2164, 630, 8201, 476, 275, 289, 264, 585, 1346, 5095, 609, 918, 8151, 689, 476, 273, 547, 476, 1321, 269, 6145, 3105, 9382, 267, 28212, 5950, 538, 1114, 2276, 630, 8201, 476, 275, 292, 264, 1705, 711, 2408, 547, 581, 3810, 11295, 610, 9678, 689, 1142, 824, 267, 4352, 930, 941, 811, 11295, 982, 1866, 971, 607, 24368, 630, 10258, 291, 264, 1354, 476, 3192, 271, 543, 5375, 5245, 630, 23354, 264, 1310, 476, 3192, 271, 630, 8201, 476, 275, 291, 267, 292, 282, 7612, 590, 273, 1040, 5047, 267, 519, 2949, 1413, 693, 519, 22693, 8167, 585, 1142, 3557, 8612, 930, 8390, 1851, 1114, 2276, 630, 8201, 590, 276, 1916, 8201, 476, 275, 269, 18948, 540, 20963, 1805, 4450, 267, 5084, 11085, 311, 307, 13543, 543, 26537, 334, 303, 664, 614, 2164, 269, 769, 782, 9382, 267, 8241, 28212, 616, 15044, 676, 519, 1931, 602, 789, 2408, 538, 519, 20963, 1805, 4450, 27765, 5766, 1090, 269, 630, 288, 264, 519, 27765, 5766, 1090, 540, 519, 476, 4343, 1016, 16647, 2827, 7000, 676, 20963, 1805, 4450, 282, 630, 289, 264, 5084, 11085, 311, 307, 13543, 2079, 630, 298, 2039, 689, 476, 273, 547, 476, 1321, 264, 585, 519, 2898, 8241, 10351, 680, 11047, 282, 630, 290, 264, 26537, 334, 303, 664, 614, 2164, 585, 519, 2898, 8241, 10351, 680, 11047, 630, 2889, 15251, 540, 18577, 9295, 540, 1142, 540, 519, 476, 2537, 20033, 1016, 16647, 2827, 585, 1142, 8241, 5252, 541, 1040, 27413, 4766, 5001, 18577, 1016, 16647, 2827, 1739, 7612, 476, 272, 290, 282, 630, 291, 264, 2051, 2293, 2099, 1569, 542, 1032, 540, 5305, 630, 1042, 281, 840, 268, 4572, 271, 267, 3039, 281, 476, 4572, 272, 547, 476, 3192, 271, 267, 543, 4544, 281, 2022, 268, 3192, 271, 5148, 630, 292, 264, 27413, 2099, 519, 3557, 540, 5305, 630, 1042, 281, 29517, 267, 3039, 281, 1627, 17162, 267, 4544, 281, 14408, 267, 5835, 281, 966, 2975, 267, 543, 19826, 281, 26146, 1916, 291, 1751, 540, 519, 5213, 528, 7377, 2827, 454, 763, 2407, 5001, 10568, 2551, 1305, 540, 476, 273, 267, 28178, 1569, 687, 4951, 9793, 5444, 2095, 1063, 1114, 1016, 16647, 2827, 609, 606, 3328, 674, 560, 1871, 1851, 1016, 16647, 2827, 540, 476, 271, 269, 15171, 630, 11907, 711, 3254, 1040, 7537, 23701, 2079, 7000, 519, 5207, 8167, 540, 2698, 8390, 630, 8660, 8472, 729, 10838, 2043, 1369, 1016, 16647, 2827, 267, 4553, 676, 476, 279, 260, 585, 8390, 10838, 1016, 16647, 2827, 543, 476, 274, 260, 585, 8390, 10838, 17407, 630, 8368, 590, 274, 291, 264, 799, 568, 13380, 547, 3105, 5359, 538, 15279, 320, 30666, 10568, 630, 10048, 1157, 320, 767, 340, 1696, 620, 1421, 476, 1001, 275, 282, 715, 1408, 11420, 1696, 620, 1421, 476, 1001, 275, 1040, 1635, 9427, 6404, 18105, 690, 550, 545, 13421, 543, 4227, 519, 5001, 2551, 2450, 547, 476, 272, 267, 276, 4510, 519, 3328, 674, 560, 1871, 1851, 1016, 16647, 2827, 2799, 547, 476, 271, 269, 26801, 630, 8368, 590, 275, 1040, 26121, 476, 1911, 20533, 4389, 5036, 8507, 538, 3328, 674, 560, 1871, 10838, 1016, 16647, 2827, 540, 476, 271, 269, 15782, 13008, 476, 271, 269, 23669, 10834, 602, 713, 2333, 538, 674, 560, 2418, 729, 711, 513, 1267, 540, 4227, 519, 2551, 2450, 630, 335, 17032, 9881, 486, 476, 271, 1040, 634, 9803, 674, 560, 630, 271, 269, 4962, 264, 729, 1063, 3162, 3864, 630, 294, 872, 576, 267, 7977, 267, 17577, 267, 8050, 264, 543, 3345, 3979, 2477, 630, 29409, 665, 1723, 267, 27988, 807, 267, 543, 31512, 807, 1070, 1247, 519, 5207, 1871, 630, 271, 269, 4649, 264, 729, 1063, 4516, 543, 3844, 3979, 2477, 630, 2419, 611, 267, 5689, 328, 543, 13280, 1040, 7537, 23701, 2079, 540, 519, 4389, 5001, 2551, 1305, 15652, 539, 519, 2698, 8390, 607, 476, 1626, 260, 10838, 1016, 16647, 2827, 543, 476, 10037, 260, 1369, 1016, 16647, 2827, 630, 8368, 590, 274, 292, 1040, 7612, 476, 272, 291, 2982, 27199, 13118, 11219, 334, 1456, 24159, 540, 519, 4389, 476, 2537, 5001, 1016, 16647, 2827, 1210, 519, 6292, 3772, 674, 560, 5119, 267, 543, 7612, 476, 272, 292, 2982, 519, 3892, 540, 519, 5001, 1569, 687, 1210, 519, 1101, 1079, 9030, 3334, 269, 901, 2079, 7265, 1229, 519, 1569, 687, 540, 519, 1482, 2551, 2673, 547, 1142, 824, 609, 930, 20718, 1851, 1114, 1016, 16647, 2827, 269, 9717, 602, 519, 476, 2537, 1016, 16647, 2827, 4951, 1434, 15285, 1759, 593, 741, 674, 560, 2418, 630, 8368, 590, 275, 1070, 3668, 540, 24159, 585, 930, 1016, 16647, 2827, 538, 519, 7193, 288, 666, 581, 6045, 676, 519, 1970, 7778, 540, 519, 1101, 1079, 7193, 338, 630, 21671, 476, 1015, 269, 279, 8472, 540, 519, 2698, 8390, 538, 519, 10351, 680, 11047, 563, 1103, 8125, 4815, 26537, 25593, 27006, 540, 8241, 5453, 520, 454, 1103, 3623, 4815, 7206, 540, 519, 15954, 540, 519, 8241, 28212, 607, 23700, 540, 5027, 12415, 23608, 689, 5001, 22881, 7000, 513, 1950, 24463, 2497, 538, 519, 8241, 10351, 680, 11047, 630, 8201, 476, 275, 290, 282, 7612, 476, 276, 267, 7612, 590, 277, 1040, 6969, 476, 3192, 271, 18577, 8129, 941, 811, 3309, 3379, 547, 2022, 476, 3192, 271, 28212, 269, 589, 2143, 6514, 540, 519, 18577, 8129, 540, 15110, 5027, 2066, 519, 11646, 538, 1142, 942, 1974, 7000, 602, 10568, 609, 3162, 3864, 5169, 630, 11357, 28134, 476, 279, 264, 8329, 476, 2420, 269, 277, 260, 547, 519, 18577, 17539, 540, 28212, 689, 519, 1101, 942, 1974, 267, 4553, 676, 3345, 3979, 5169, 267, 609, 1016, 16647, 2827, 476, 1626, 543, 476, 1556, 7700, 476, 2420, 543, 476, 1556, 269, 276, 9077, 6606, 630, 8201, 476, 276, 1040, 4438, 519, 2034, 942, 1974, 267, 3979, 2326, 2968, 811, 1271, 609, 1016, 16647, 2827, 476, 1626, 267, 476, 1724, 267, 543, 476, 1556, 7700, 476, 2641, 267, 476, 1691, 269, 280, 267, 543, 476, 1556, 269, 274, 260, 540, 15110, 5027, 538, 519, 8241, 10351, 680, 11047, 267, 6606, 269, 1717, 267, 8828, 3864, 5169, 4797, 547, 581, 606, 1271, 22660, 1282, 713, 1974, 609, 476, 280, 269, 272, 260, 9295, 269, 634, 2164, 941, 13380, 547, 519, 20963, 1805, 4450, 2164, 799, 5258, 840, 268, 3192, 271, 10351, 680, 11047, 883, 1079, 1292, 13421, 630, 8201, 476, 275, 1070, 540, 799, 519, 1101, 8659, 28212, 13556, 547, 3162, 3864, 543, 3345, 3979, 2477, 630, 349, 4366, 260, 540, 713, 12440, 689, 519, 1101, 1974, 1070, 1247, 519, 2034, 8659, 28212, 13556, 5631, 547, 2789, 3979, 1016, 16647, 2827, 630, 349, 3451, 260, 540, 713, 12440, 689, 519, 1101, 1974, 1916, 8201, 476, 276, 269, 15788, 2199, 22693, 2164, 2059, 8241, 3694, 10568, 11646, 269, 1160, 15251, 540, 18577, 9295, 585, 1142, 20033, 1016, 28134, 693, 1142, 19301, 303, 30580, 2066, 519, 11646, 269, 634, 476, 2641, 15954, 616, 10288, 18615, 569, 4358, 689, 15694, 476, 272, 288, 547, 476, 278, 291, 585, 28212, 5950, 630, 288, 264, 1354, 476, 4572, 271, 282, 630, 289, 264, 689, 476, 4572, 272, 547, 476, 3192, 271, 282, 543, 630, 290, 264, 1310, 476, 3192, 271, 269, 9406, 13063, 2099, 519, 2949, 9295, 585, 1142, 20033, 1016, 28134, 547, 519, 18577, 17539, 540, 519, 8241, 10351, 680, 11047, 269, 27413, 4766, 5001, 1016, 16647, 2827, 1739, 7612, 476, 272, 290, 563, 1103, 4334, 547, 519, 1101, 1079, 5712, 267, 519, 18577, 17539, 540, 28212, 689, 519, 3791, 942, 1974, 31030, 5631, 593, 11204, 2326, 267, 799, 8329, 476, 3393, 260, 540, 519, 15110, 5027, 267, 4553, 676, 3844, 3979, 1016, 28134, 1297, 476, 1321, 609, 476, 1691, 269, 277, 260, 543, 519, 7187, 1016, 28134, 538, 3162, 3013, 630, 11357, 28134, 476, 1704, 264, 609, 476, 1724, 260, 630, 8201, 476, 276, 1040, 24951, 519, 5084, 11085, 311, 307, 13543, 543, 20963, 1805, 4450, 2164, 630, 8201, 476, 275, 282, 7612, 590, 273, 1070, 28212, 602, 941, 3592, 4628, 13556, 547, 6792, 941, 7265, 1229, 538, 1079, 1292, 1016, 16647, 2827, 630, 19990, 543, 13711, 538, 5084, 11085, 311, 307, 13543, 918, 815, 476, 1321, 1040, 634, 4544, 1016, 28134, 3238, 28212, 5950, 538, 1715, 3162, 12986, 630, 10064, 310, 264, 543, 1627, 17162, 267, 1247, 519, 13711, 1016, 28134, 3238, 28212, 5950, 538, 3162, 8241, 630, 6347, 1070, 26146, 543, 29517, 630, 18034, 519, 2326, 609, 18637, 334, 4282, 5950, 1354, 476, 3192, 271, 7612, 476, 275, 267, 7612, 590, 273, 1916, 2414, 1397, 519, 4720, 540, 8241, 10351, 680, 11047, 998, 942, 538, 811, 1469, 267, 7612, 476, 277, 291, 2982, 519, 18577, 17539, 540, 519, 8241, 10351, 680, 11047, 2066, 513, 32067, 942, 4336, 269, 901, 4137, 5693, 9727, 513, 21341, 593, 1016, 16647, 2827, 476, 279, 543, 476, 1626, 1282, 519, 840, 268, 4572, 271, 1974, 267, 519, 1950, 11156, 1282, 519, 2034, 1974, 630, 4572, 272, 1700, 3192, 271, 264, 543, 519, 16795, 2333, 538, 946, 540, 11204, 2326, 2022, 476, 3192, 272, 547, 3914, 513, 8445, 693, 476, 6872, 269, 276, 260, 538, 476, 1001, 272, 269, 25392, 519, 1198, 540, 1142, 20033, 1016, 28134, 593, 1367, 8241, 28212, 630 ]

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

[ 0, 16605, 13245, 1107, 19321, 6153, 15482, 2657, 454, 2304, 9137, 538, 634, 11545, 25357, 713, 3018, 267, 814, 12006, 519, 1249, 602, 1346, 1004, 609, 513, 4057, 5959, 1416, 12512, 616, 693, 1981, 689, 824, 2101, 1072, 2042, 267, 8409, 945, 798, 711, 11453, 741, 4522, 693, 2547, 7466, 513, 1554, 616, 909, 547, 476, 3583, 260, 811, 693, 1981, 540, 7092, 689, 9839, 8376, 563, 5649, 11545, 25357, 9137, 454, 27778, 5241, 707, 4522, 3828, 823, 513, 1554, 1223, 3247, 596, 2348, 513, 2295, 4323, 454, 14722, 723, 1336, 602, 17528, 547, 2973, 4522, 2834, 1176, 666, 1450, 909, 547, 476, 10384, 1114, 2010, 540, 4551, 547, 1205, 883, 519, 18072, 267, 2899, 972, 621, 666, 1198, 519, 2295, 543, 824, 2101, 8219, 563, 1607, 666, 1860, 24455, 1100, 2339, 875, 2635, 519, 1268, 568, 563, 1103, 4791, 2090, 621, 729, 4362, 602, 950, 4551, 9411, 519, 18072, 267, 519, 4761, 1062, 729, 30701, 267, 621, 1500, 27555, 6821, 28332, 543, 7522, 518, 269, 898, 849, 7923, 547, 608, 529, 1746, 9761, 12074, 538, 519, 16209, 799, 1500, 519, 32560, 1256, 811, 14733, 563, 17206, 5441, 5507, 4553, 476, 8099, 876, 1004, 609, 606, 3328, 2085, 540, 476, 2004, 267, 789, 941, 782, 4280, 827, 5959, 1686, 543, 20816, 693, 1753, 269, 476, 7830, 260, 540, 519, 5396, 20402, 1500, 2834, 11564, 547, 519, 24782, 543, 1175, 936, 476, 3583, 260, 1490, 19813, 741, 4522, 7466, 610, 811, 513, 1554, 563, 4322, 1004, 941, 6594, 585, 476, 279, 1296, 267, 936, 602, 942, 476, 27898, 1004, 1185, 3978, 2295, 2042, 543, 476, 10204, 540, 873, 5747, 607, 513, 1267, 563, 763, 5354, 540, 891, 1004, 3357, 689, 519, 1895, 540, 1004, 602, 1705, 660, 11453, 741, 4522, 2834, 1176, 610, 9738, 1434, 5959, 1072, 454, 3849, 6665, 832, 547, 519, 645, 6395, 9672, 555, 572, 4681, 543, 9672, 602, 824, 2090, 616, 3168, 883, 713, 616, 4867, 25093, 563, 1432, 2479, 519, 4681, 267, 621, 568, 865, 1271, 547, 2226, 1434, 5959, 1072, 607, 713, 568, 519, 24891, 883, 519, 1560, 543, 786, 948, 547, 2226, 1434, 2949, 2489, 1072, 269, 0, 8923, 5818, 707, 4643, 547, 4647, 4574, 454, 306, 2174, 619, 13898, 910, 4828, 7151, 454, 12041, 2433, 593, 323, 4459, 1690, 755, 2106, 454, 303, 1137, 476, 274, 630, 4037, 274, 1913, 994, 306, 2174, 619, 4828, 8745, 540, 8191, 8191, 779, 10500, 559, 2747, 8191, 8074, 8191, 4063, 609, 811, 1344, 827, 30901, 267, 1382, 14828, 267, 4655, 540, 1719, 543, 875, 547, 3346, 590, 2174, 619, 4828, 4985, 281, 4595, 942, 1799, 655, 3645, 267, 7239, 607, 1134, 607, 1004, 723, 2919, 1585, 21644, 543, 7881, 602, 789, 3494, 616, 1318, 2687, 547, 873, 7498, 3080, 971, 960, 568, 519, 1557, 267, 968, 3963, 3627, 5500, 2052, 1406, 15681, 9406, 689, 654, 3994, 892, 2854, 676, 2441, 2088, 32129, 590, 2174, 619, 267, 538, 799, 1352, 6257, 519, 2413, 1158, 543, 20186, 1585, 1806, 547, 1489, 1200, 3948, 602, 519, 1459, 1554, 6107, 568, 8731, 7757, 538, 513, 1158, 540, 5837, 10539, 269, 3778, 814, 14754, 519, 3356, 538, 18495, 2429, 5553, 855, 267, 19890, 267, 713, 3356, 814, 6603, 513, 1377, 1141, 5683, 2932, 568, 711, 2016, 865, 1454, 2956, 899, 621, 4505, 729, 269, 13966, 609, 3237, 267, 3872, 5238, 1404, 513, 1360, 1271, 1909, 538, 3450, 5837, 2418, 543, 16431, 547, 1453, 269, 1717, 267, 3872, 3906, 19951, 616, 811, 20916, 2509, 19174, 543, 798, 711, 2015, 3344, 540, 5837, 14242, 269, 901, 3762, 1453, 267, 5631, 519, 6107, 538, 513, 959, 766, 6438, 1533, 1141, 789, 3112, 10646, 1318, 689, 4636, 269, 4935, 267, 2441, 2088, 3081, 538, 1200, 1557, 968, 935, 1061, 1302, 543, 15520, 267, 2221, 779, 1762, 1004, 2661, 538, 513, 5837, 688, 2763, 892, 630, 295, 4752, 267, 562, 6155, 12175, 1306, 2484, 607, 594, 6557, 7255, 267, 594, 3858, 609, 519, 2278, 267, 1317, 519, 6107, 538, 2489, 8188, 971, 1476, 16272, 607, 789, 6560, 9624, 513, 2603, 540, 2591, 1282, 713, 942, 543, 621, 568, 1360, 2352, 585, 873, 547, 917, 799, 568, 1318, 543, 799, 568, 711, 269, 3267, 0, 1805, 597, 2394, 667, 821, 454, 8248, 553, 910, 333, 268, 2961, 12783, 454, 5415, 22843, 8342, 454, 5415, 634, 4364, 14958, 18768, 454, 9199, 576, 519, 9764, 1843, 609, 513, 15513, 269, 5620, 707, 1126, 2759, 856, 519, 454, 15132, 548, 269, 674, 1245, 519, 5858, 538, 3368, 543, 2759, 2059, 519, 16784, 269, 901, 786, 2285, 454, 9767, 1079, 22597, 25568, 269, 8921, 1491, 707, 10612, 15777, 543, 18846, 621, 883, 513, 454, 297, 3337, 269, 3794, 826, 519, 808, 3337, 547, 519, 1394, 540, 707, 3368, 5858, 543, 596, 454, 17647, 606, 22597, 563, 13356, 28672, 707, 22597, 1210, 12508, 267, 1350, 7867, 267, 5862, 610, 4376, 596, 666, 454, 10387, 27679, 23834, 19798, 6428, 611, 667, 7675, 15636, 1479, 454, 4537, 4141, 14470, 630, 19990, 610, 6960, 994, 8794, 1507, 17446, 540, 9633, 532, 11746, 282, 3382, 707, 11480, 4625, 269, 2991, 454, 10472, 1900, 568, 2944, 596, 786, 991, 547, 2322, 17309, 593, 269, 4635, 519, 2025, 986, 326, 6299, 454, 3333, 4141, 32432, 5196, 519, 11480, 596, 1175, 7148, 539, 909, 269, 901, 786, 2285, 707, 454, 15318, 1479, 513, 1360, 16517, 966, 17955, 1413, 563, 14937, 17781, 25529, 619, 454, 19352, 513, 6906, 593, 519, 11909, 1957, 269, 5620, 707, 1126, 2759, 856, 519, 6906, 563, 5970, 707, 1126, 2759, 513, 14816, 540, 3039, 547, 15441, 693, 519, 5377, 540, 707, 454, 28256, 4120, 269, 9255, 3109, 29654, 593, 519, 11909, 6712, 540, 519, 6906, 269, 1411, 454, 15884, 723, 513, 8799, 20105, 540, 1216, 28447, 950, 596, 616, 2944, 563, 14937, 14716, 7433, 454, 5970, 707, 1126, 10250, 741, 1688, 610, 3723, 609, 519, 3043, 25879, 593, 519, 454, 18872, 1957, 269, 8921, 723, 873, 2721, 538, 1018, 789, 1589, 741, 7633, 1413, 454, 7476, 513, 1483, 2473, 7304, 599, 540, 513, 1688, 610, 3723, 585, 707, 1126, 547, 1413, 543, 5635, 269, 589, 454, 335, 27348, 689, 513, 1433, 1131, 960, 849, 563, 312, 962, 7568, 27006, 454, 20278, 513, 1507, 2179, 540, 5862, 593, 513, 1957, 6676, 269, 12338, 20612, 547, 581, 1114, 454, 331, 9975, 269, 5620, 707, 1126, 1747, 519, 20612, 538, 519, 5862, 3478, 621, 4988, 454, 342, 270, 5862, 269, 8921, 8749, 519, 20612, 936, 1957, 269, 1684, 713, 609, 1114, 5862, 454, 2252, 596, 723, 513, 1126, 945, 1281, 711, 899, 547, 1205, 741, 1688, 18660, 1039, 513, 454, 743, 582, 1127, 8930, 547, 835, 1439, 540, 519, 20612, 269, 3973, 723, 519, 1126, 4584, 909, 519, 20612, 454, 6748, 519, 9660, 8930, 543, 741, 11263, 786, 3251, 2973, 563, 313, 2098, 580, 2098, 698, 8342, 454, 305, 1157, 681, 871, 2558, 574, 454, 5970, 707, 1126, 946, 519, 1990, 580, 1990, 698, 678, 1157, 24646, 16013, 547, 1711, 513, 2098, 1990, 580, 1990, 698, 454, 12988, 547, 5440, 0, 31528, 751, 16223, 333, 860, 328, 5953, 267, 9836, 3797, 540, 606, 1148, 610, 4739, 2433, 751, 16223, 333, 25207, 267, 2702, 282, 1294, 751, 802, 268, 538, 21475, 26049, 5072, 1341, 910, 8421, 328, 5953, 267, 910, 8421, 344, 269, 12409, 917, 24376, 267, 3622, 17941, 3798, 24728, 267, 568, 519, 1858, 540, 917, 24376, 602, 9388, 609, 14123, 552, 19543, 267, 799, 568, 519, 2866, 543, 1732, 532, 2773, 676, 2870, 267, 9001, 543, 5883, 11807, 6639, 3157, 543, 2959, 269, 634, 1699, 4170, 616, 3648, 9168, 689, 4505, 7648, 602, 941, 1759, 2390, 5107, 543, 7207, 540, 3872, 6791, 4648, 269, 634, 1004, 3238, 538, 513, 5692, 1860, 543, 616, 6766, 676, 8441, 538, 4143, 3621, 543, 2029, 1239, 563, 2005, 568, 827, 5883, 4745, 3408, 543, 14226, 267, 1141, 1142, 1880, 1268, 814, 5107, 543, 4247, 538, 29050, 543, 24625, 8271, 22151, 4464, 4724, 6104, 5109, 3838, 6859, 630, 14811, 28086, 543, 26187, 267, 476, 1001, 272, 15426, 5303, 20835, 568, 827, 10115, 538, 543, 22589, 519, 14078, 685, 7341, 267, 711, 1175, 9301, 6791, 610, 2344, 8925, 563, 22897, 568, 519, 946, 540, 3621, 1344, 585, 24534, 3252, 267, 585, 3236, 538, 4123, 907, 712, 3661, 1369, 519, 1648, 540, 2413, 917, 24376, 269, 1306, 513, 2686, 2534, 267, 917, 24376, 2392, 919, 1142, 2257, 543, 4702, 2073, 1142, 540, 799, 6101, 1125, 930, 2609, 540, 6639, 20089, 269, 26959, 799, 666, 581, 16934, 1657, 1223, 849, 581, 3769, 952, 789, 616, 606, 7533, 851, 540, 513, 26099, 3156, 610, 1131, 581, 13542, 727, 547, 14443, 856, 1317, 519, 5777, 616, 3769, 609, 824, 1344, 917, 24376, 5777, 563, 1607, 4214, 2115, 547, 3313, 543, 6451, 519, 9867, 10058, 2798, 540, 2029, 20835, 543, 922, 6402, 547, 519, 1459, 11890, 540, 9297, 267, 20835, 267, 543, 7245, 269, 4653, 2919, 607, 1134, 607, 3395, 2477, 616, 7432, 547, 538, 23024, 27624, 2029, 547, 2922, 519, 1604, 689, 4652, 822, 24461, 5222, 269, 5047, 267, 513, 6216, 1007, 4214, 11129, 547, 12799, 5409, 15062, 2029, 20835, 547, 519, 2856, 540, 519, 6109, 267, 20835, 2856, 267, 543, 7245, 6240, 269, 12059, 267, 2029, 568, 519, 1702, 602, 2306, 519, 6639, 1576, 540, 12492, 762, 563, 22897, 20835, 814, 811, 547, 798, 609, 10319, 2504, 1759, 6140, 593, 513, 3838, 5075, 540, 2104, 11941, 538, 2029, 269, 1280, 1383, 267, 646, 27537, 519, 6639, 1922, 1460, 3210, 547, 2011, 5533, 607, 2048, 27234, 909, 5533, 609, 2011, 5533, 2359, 6791, 685, 282, 519, 5078, 6791, 3210, 267, 3079, 267, 1223, 581, 547, 6427, 1875, 1790, 3326, 5024, 4066, 269, 23654, 20835, 8647, 538, 4571, 13355, 543, 5458, 14078, 630, 763, 1889, 476, 278, 264, 568, 519, 835, 6249, 602, 1281, 711, 2285, 3007, 547, 1507, 2029, 14078, 610, 2029, 8116, 5250, 269, 589, 3838, 19511, 543, 1095, 2615, 540, 1689, 538, 6791, 7506, 1946, 267, 950, 267, 543, 875, 513, 6109, 5932, 543, 19306, 1871, 269, 11153, 4013, 8847, 540, 2257, 543, 6791, 6288, 723, 1044, 7550, 676, 4625, 1114, 3906, 269, 0, 21809, 826, 540, 15243, 2274, 529, 2401, 538, 1715, 18842, 3559, 548, 267, 12924, 267, 676, 20900, 2420, 693, 519, 2296, 1893, 9504, 269, 13397, 10234, 896, 16671, 15760, 4149, 288, 476, 274, 269, 271, 3842, 12780, 563, 8310, 942, 1472, 649, 5941, 6723, 29124, 1215, 749, 779, 3102, 543, 10855, 1592, 540, 519, 2296, 7810, 1827, 832, 540, 1715, 3840, 267, 689, 1010, 4437, 31588, 27812, 3778, 540, 519, 6019, 540, 19186, 1415, 267, 476, 6642, 277, 269, 1261, 11840, 730, 593, 930, 540, 1010, 5618, 9184, 983, 11673, 609, 930, 811, 2143, 20241, 540, 519, 28919, 540, 1896, 540, 519, 1827, 832, 267, 7247, 1215, 749, 4967, 968, 26200, 1419, 27416, 593, 2272, 540, 8915, 22424, 564, 1890, 610, 1350, 2130, 31081, 17965, 543, 12611, 1848, 1261, 4371, 19186, 1415, 543, 922, 4961, 6306, 267, 6031, 968, 527, 568, 2653, 547, 1294, 1018, 19186, 1415, 2219, 540, 891, 6927, 676, 519, 1362, 540, 2367, 2322, 4464, 547, 1463, 1857, 12602, 693, 1753, 267, 610, 547, 2099, 873, 538, 519, 1306, 5145, 15533, 950, 789, 941, 4847, 269, 9282, 3622, 10121, 5396, 540, 519, 2229, 267, 693, 519, 1482, 942, 789, 941, 2828, 540, 2442, 6041, 543, 519, 13120, 540, 519, 3020, 4690, 540, 519, 12733, 3034, 1692, 749, 11339, 602, 693, 519, 1439, 540, 10656, 4341, 267, 519, 2296, 945, 759, 3660, 538, 1715, 3840, 4975, 941, 13110, 540, 519, 29134, 28112, 15967, 540, 1102, 2716, 1043, 10656, 17135, 8834, 853, 8500, 1407, 656, 267, 543, 4397, 930, 540, 519, 23118, 4847, 538, 1715, 4789, 896, 17135, 12832, 565, 3149, 269, 2561, 30068, 789, 941, 25922, 267, 855, 1215, 749, 6257, 12832, 565, 3149, 685, 7245, 607, 968, 332, 843, 2223, 543, 4967, 602, 968, 515, 1705, 711, 10556, 519, 2749, 23118, 540, 19186, 1415, 267, 6862, 15936, 609, 922, 4123, 269, 2991, 922, 4708, 762, 21704, 267, 5181, 476, 2190, 267, 476, 14917, 275, 267, 1919, 4682, 593, 607, 8912, 1547, 1547, 1547, 898, 729, 4956, 602, 519, 10656, 24977, 1590, 581, 17105, 607, 23380, 267, 8744, 5763, 547, 519, 17135, 676, 1010, 11999, 12375, 585, 26587, 1007, 10643, 3034, 8170, 14731, 10753, 767, 864, 267, 945, 4553, 12832, 565, 3149, 267, 519, 1482, 1223, 711, 581, 1767, 269, 968, 763, 5212, 1190, 10753, 767, 864, 19557, 547, 4986, 4280, 676, 519, 1004, 269, 1261, 5143 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22025, 1113, 2852, 1053, 6923, 723, 2055, 269, 5441, 14122, 1082, 1114, 2833, 282, 4061, 267, 621, 779, 1271, 602, 596, 616, 1134, 5423, 1991, 547, 11504, 269, 634, 4388, 2630, 786, 948, 707, 5965, 585, 2852, 563, 6826, 2386, 547, 1491, 6266, 540, 16003, 1845, 2059, 547, 2852, 269, 1452, 616, 1271, 269, 1411, 1810, 1406, 1616, 547, 1847, 883, 707, 18959, 543, 1287, 1265, 596, 1810, 1406, 723, 1022, 16003, 1957, 256, 6333, 9140, 538, 13557, 607, 513, 1797, 547, 4688, 2724, 563, 1432, 798, 596, 991, 547, 3142, 547, 2852, 286, 898, 779, 1655, 547, 581, 11207, 5423, 2864, 982, 21945, 547, 3605, 972, 616, 1082, 1919, 596, 991, 269, 1879, 596, 723, 547, 2951, 2484, 267, 596, 3580, 1265, 713, 568, 1256, 811, 3020, 563, 2691, 596, 1118, 856, 707, 960, 543, 1362, 8430, 267, 581, 10853, 269, 1403, 596, 616, 1835, 1678, 344, 538, 519, 544, 1941, 902, 267, 6148, 513, 9875, 2038, 1362, 568, 711, 519, 1655, 3903, 269, 11554, 1472, 707, 1378, 4703, 8430, 666, 948, 596, 547, 6038, 8011, 563, 28716, 519, 7245, 13646, 540, 782, 707, 1761, 3506, 269, 901, 666, 948, 596, 1265, 1022, 25689, 602, 1522, 581, 2139, 547, 596, 269, 31849, 540, 5238, 2709, 1053, 21464, 25689, 269, 1635, 2469, 547, 519, 23504, 5604, 543, 6158, 547, 519, 11464, 972, 267, 596, 3580, 581, 2111, 547, 917, 952, 596, 2461, 3478, 519, 1655, 4308, 593, 707, 2069, 563, 12648, 519, 942, 547, 3635, 610, 1491, 513, 3802, 543, 1832, 9308, 3742, 269, 3371, 267, 596, 3580, 581, 2111, 547, 2743, 1866, 602, 616, 3742, 538, 707, 1153, 1247, 596, 849, 1832, 3054, 3514, 269, 3509, 3506, 849, 723, 14934, 916, 585, 741, 1053, 563, 13014, 2386, 547, 723, 14254, 269, 4634, 513, 2241, 267, 1507, 14254, 971, 607, 18506, 610, 513, 4062, 540, 4829, 786, 948, 269, 1411, 949, 1831, 26531, 676, 14000, 1928, 950, 2921, 606, 981, 269, 3502, 2614, 1648, 1419, 5012, 547, 1970, 1449, 8464, 563, 2691, 596, 1376, 1362, 267, 1491, 519, 942, 547, 6338, 3054, 547, 707, 20485, 269, 5269, 2386, 602, 596, 616, 3222, 540, 741, 5604, 6753, 267, 3108, 540, 8244, 543, 875, 3116, 547, 3346, 873, 269, 1411, 1590, 1020, 1434, 3347, 609, 707, 20485, 865, 602, 596, 786, 1745, 6899, 6158, 609, 873, 952, 596, 991, 948, 610, 606, 9868, 593, 513, 1813, 4266, 563, 12648, 5049, 602, 786, 948, 596, 1332, 267, 711, 968, 324, 6470, 589, 892, 5049, 269, 898, 568, 6225, 547, 4161, 3054, 269, 589, 4101, 1576, 540, 1353, 786, 4001, 596, 1454, 811, 982, 513, 2241, 835, 602, 14543, 547, 4497, 596, 269, 898, 849, 10607, 707, 13033, 3255, 563, 3080, 1390, 1259, 547, 4688, 2724, 1247, 2469, 547, 2852, 568, 547, 6718, 1031, 1257, 2835, 269, 1715, 9499, 616, 10238, 1438, 569, 7199, 269, 4107, 540, 519, 2835, 596, 786, 991, 666, 581, 11751, 1031, 267, 3976, 9494, 596, 513, 3787, 540, 2724, 563, 12648, 4967, 538, 1840, 547, 6947, 547, 15872, 269, 1411, 786, 581, 2111, 547, 2731, 1184, 519, 1344, 950, 596, 2328, 621, 1524, 269, 901, 666, 948, 596, 3314, 621, 1454, 4443, 950, 596, 1353, 269, 2142, 2386, 547, 2141, 2328, 519, 1344, 1524, 267, 1100, 2339, 952, 596, 616, 8746, 602, 596, 917, 519, 1344, 610, 711, 563, 2252, 596, 1265, 596, 991, 4747, 267, 1082, 2852, 723, 606, 8257, 602, 20362, 2816, 3091, 593, 610, 1055, 13464, 585, 1053, 269, 19396, 7740, 267, 2059, 609, 4543, 609, 2022, 22692, 2816, 13307, 267, 786, 1419, 2053, 2022, 9623, 827, 851, 6066, 6009, 596, 666, 960, 693, 1247, 11504, 5049, 563, 2691, 596, 616, 7446, 519, 5049, 596, 616, 2469, 547, 1491, 538, 513, 19496, 267, 1118, 2386, 596, 798, 711, 20358, 3054, 609, 1932, 1082, 269, 1411, 3580, 1152, 1205, 26151, 856, 269, 5269, 2386, 547, 3666, 856, 519, 7411, 538, 707, 5049, 609, 1175, 513, 7008, 602, 616, 4101, 538, 513, 19496, 563, 305, 1047, 543, 19542, 693, 606, 2038, 5662, 269, 1403, 596, 666, 1205, 909, 267, 3548, 14254, 543, 1256, 960, 856, 267, 596, 3580, 1265, 707, 2247, 568, 20501, 782, 1554, 563, 303, 871, 1152, 519, 5934, 1919, 596, 2154, 952, 2713, 538, 513, 18959, 269, 667, 768, 11623, 616, 1507, 543, 1022, 3063, 4055, 786, 1118, 707, 2713, 2230, 811, 6899, 269, 8073, 513, 1592, 4904, 609, 9238, 267, 543, 950, 596, 979, 10918, 6529, 547, 1346, 269, 1703, 616, 1082, 15931, 4859, 11149, 543, 11741, 6687, 17123, 18959, 4055, 3688, 563, 12648, 930, 942, 585, 3054, 1631, 543, 1287, 269, 1684, 711, 2566, 3054, 1932, 1454, 269, 24356, 585, 1279, 3108, 568, 519, 1883, 547, 707, 1967, 267, 855, 798, 711, 2322, 1932, 1454, 2604, 593, 3054, 269, 1677, 2611, 593, 1283, 540, 707, 3014, 267, 1491, 621, 2653, 563, 2252, 596, 723, 513, 13007, 585, 513, 1808, 1641, 267, 596, 949, 581, 2111, 547, 14377, 602, 883, 930, 3063, 2724, 269, 1411, 666, 946, 707, 1702, 547, 20131, 1053, 543, 7118, 3063, 2724, 269, 8347, 10229, 538, 707, 18959, 610, 593, 519, 2875, 4099, 16886, 514, 4604, 269, 1411, 666, 849, 2344, 3054, 2228, 563, 8340, 513, 1153, 602, 7959, 1318, 547, 596, 1101, 543, 19466, 269, 6333, 14104, 950, 1818, 707, 3903, 269, 1411, 1058, 711, 1577, 519, 3902, 1205, 596, 1524, 282, 972, 568, 948, 856, 972, 585, 596, 269, 4495, 596, 5490, 883, 519, 1158, 540, 25689, 543, 2883, 6351, 267, 596, 666, 1265, 519, 1259, 547, 2628, 585, 707, 5326, 1153, 563, 4407, 2870, 707, 8430, 585, 2852, 1272, 267, 2141, 1450, 3054, 7899, 540, 942, 585, 3207, 269, 5441, 1053, 602, 2141, 5428, 1932, 1454, 616, 3622, 519, 3283, 602, 723, 547, 1491, 5049, 936, 1586, 543, 3653, 741, 2724, 543, 942, 269, 1403, 596, 1544, 547, 8011, 267, 596, 666, 8011, 563, 10673, 1406, 1205, 26531, 676, 1004, 596, 1265, 10694, 269, 2334, 568, 4443, 1767, 982, 2944, 952, 596, 2461, 2476, 689, 1753, 585, 519, 1101, 942, 269, 634, 1034, 1271, 3364, 568, 3478, 513, 1697, 2069, 269, 25441, 568, 5386, 267, 855, 596, 666, 1406, 1118, 621, 707, 1292, 1445, 269, 5213, 1406, 10714, 707, 2069, 563, 2005, 568, 1271, 602, 596, 1174, 1018, 2852, 568, 782, 827, 865, 602, 596, 786, 723, 519, 1655, 1995, 2009, 269, 18833, 782, 596, 666, 827, 2852, 568, 519, 1655, 1259, 547, 979, 827, 621, 269, 16593, 2685, 267, 519, 5796, 538, 713, 2376, 786, 948, 596, 2059, 707, 1259, 269, 0, 10932, 25198, 18248, 454, 1103, 476, 1001, 275, 267, 519, 8225, 25076, 593, 13067, 6804, 1145, 5950, 16971, 13067, 6804, 1145, 538, 4516, 281, 589, 9085, 5623, 269, 2290, 540, 519, 7840, 4947, 856, 540, 519, 3332, 2689, 729, 513, 1289, 585, 2104, 2090, 711, 547, 4630, 4094, 1125, 519, 7087, 2551, 540, 4516, 267, 543, 11329, 856, 547, 519, 632, 14390, 540, 1382, 2519, 593, 7810, 1894, 1063, 7087, 24447, 543, 6608, 269, 25392, 891, 31886, 540, 519, 4540, 3332, 593, 7087, 24447, 685, 26683, 267, 594, 786, 2119, 547, 5905, 593, 930, 540, 891, 3344, 1369, 519, 10148, 540, 513, 5816, 7127, 563, 301, 684, 822, 583, 779, 2551, 6603, 476, 4391, 267, 16409, 7264, 538, 476, 1001, 277, 282, 594, 336, 2728, 527, 568, 519, 4102, 2146, 609, 811, 982, 476, 277, 267, 5780, 280, 1004, 607, 540, 476, 1001, 272, 269, 715, 684, 822, 583, 814, 519, 5207, 2551, 2208, 982, 1022, 824, 11662, 610, 8513, 538, 4516, 6140, 1813, 547, 1164, 4332, 3928, 2864, 982, 11776, 543, 5924, 954, 4491, 514, 1017, 270, 614, 761, 3645, 9194, 269, 589, 3791, 540, 922, 2551, 568, 896, 519, 2085, 540, 476, 1428, 267, 543, 476, 5038, 260, 568, 1063, 519, 6502, 540, 476, 1428, 547, 476, 5038, 269, 27478, 2099, 476, 5952, 269, 275, 260, 540, 519, 2698, 2551, 540, 519, 8513, 543, 476, 3393, 269, 276, 260, 540, 519, 2698, 27478, 2551, 538, 4516, 269, 2060, 513, 11667, 2085, 540, 476, 2190, 1296, 267, 4516, 779, 21777, 8513, 814, 513, 1762, 543, 6385, 3395, 27478, 2551, 269, 8616, 267, 519, 2115, 616, 1390, 269, 715, 684, 822, 583, 814, 519, 9803, 8739, 20300, 4093, 982, 1022, 824, 11662, 610, 8513, 269, 769, 476, 1001, 272, 267, 1164, 1153, 22692, 3928, 11542, 693, 476, 3374, 260, 910, 8710, 5944, 1970, 6236, 519, 476, 5952, 260, 8225, 3328, 585, 602, 1482, 1032, 269, 634, 13864, 2557, 607, 540, 5130, 476, 1001, 278, 729, 476, 1321, 269, 276, 9077, 3592, 7466, 607, 1164, 607, 519, 476, 277, 269, 279, 260, 3084, 3328, 269, 634, 11667, 4747, 18121, 2190, 267, 279, 6924, 264, 568, 2539, 982, 519, 3084, 3328, 18121, 3066, 267, 279, 4281, 264, 543, 1317, 540, 519, 1164, 1942, 540, 2713, 267, 519, 3328, 715, 684, 822, 636, 14741, 583, 568, 2808, 25013, 982, 1034, 824, 23671, 269, 769, 476, 1001, 274, 267, 476, 6078, 269, 272, 260, 540, 715, 684, 822, 583, 7264, 16941, 593, 1514, 6351, 269, 1452, 5916, 2188, 1118, 715, 684, 822, 636, 14741, 583, 693, 2362, 1981, 540, 4742, 15602, 267, 2713, 538, 32036, 4765, 2175, 610, 9363, 538, 5906, 8027, 3871, 563, 20751, 519, 15602, 543, 3348, 926, 3585, 24428, 2551, 267, 519, 476, 1001, 271, 715, 684, 822, 583, 24184, 11752, 1336, 602, 476, 272, 267, 13136, 715, 684, 822, 636, 14741, 583, 941, 7680, 26683, 543, 7000, 602, 476, 275, 267, 15996, 17743, 902, 856, 540, 513, 2698, 540, 476, 280, 267, 6110, 1705, 711, 2743, 5934, 8027, 4441, 269, 21009, 540, 27478, 5321, 616, 32036, 4765, 543, 5924, 538, 991, 540, 2101, 18203, 269, 715, 684, 822, 583, 779, 476, 1001, 275, 1448, 2987, 6066, 1293, 1336, 476, 7176, 1004, 2713, 538, 24181, 610, 538, 4025, 711, 5921, 547, 581, 8027, 269, 2368, 824, 4681, 1331, 912, 268, 476, 6872, 260, 540, 5619, 17013, 4857, 607, 5256, 543, 476, 6246, 260, 607, 2021, 563, 268, 476, 1789, 260, 540, 12062, 17013, 4080, 9363, 693, 519, 12062, 609, 741, 1453, 563, 268, 634, 3328, 2085, 540, 17013, 729, 476, 4343, 855, 827, 476, 272, 270, 274, 941, 6107, 1063, 519, 6502, 540, 476, 1240, 543, 476, 3066, 563, 268, 476, 7597, 260, 540, 17013, 8057, 909, 538, 519, 2146, 602, 789, 941, 4867, 2713, 538, 563, 14532, 540, 24184, 3038, 1707, 454, 1103, 1931, 547, 1174, 519, 1164, 3928, 540, 26683, 543, 32036, 3429, 538, 715, 684, 822, 583, 267, 649, 1590, 10250, 1394, 519, 6554, 540, 4516, 779, 7810, 2078, 609, 27478, 4658, 269, 27478, 4658, 1185, 3346, 609, 3864, 13896, 2094, 519, 476, 1428, 628, 2540, 6140, 998, 741, 3844, 1909, 538, 519, 9663, 4123, 2872, 269, 1717, 267, 1034, 27478, 4797, 2713, 513, 2757, 10859, 5991, 558, 19631, 6197, 2394, 519, 476, 3422, 271, 338, 950, 519, 8225, 2229, 3323, 9591, 8628, 17260, 2066, 4516, 779, 3345, 269, 2060, 519, 2810, 1297, 540, 10480, 518, 958, 13950, 8628, 17260, 267, 27478, 4810, 3773, 12503, 543, 941, 7142, 547, 15849, 30968, 883, 5375, 2528, 676, 2921, 909, 13230, 7694, 585, 32351, 267, 3001, 883, 1533, 17898, 29107, 8027, 543, 11488, 741, 27478, 1453, 547, 10821, 3506, 610, 5313, 3984, 1564, 269, 1306, 513, 3210, 547, 519, 7810, 6285, 1996, 741, 2757, 24454, 543, 1582, 24148, 267, 27478, 3401, 4646, 513, 1297, 540, 12205, 538, 1931, 547, 21907, 2244, 3409, 11650, 602, 1572, 585, 741, 1582, 24148, 267, 10350, 936, 27478, 2244, 543, 1514, 11865, 532, 269, 769, 476, 2735, 273, 267, 519, 14173, 1731, 1889, 582, 27478, 5948, 267, 519, 3223, 1168, 11294, 27478, 5948, 267, 543, 519, 645, 3530, 514, 13636, 27478, 5948, 4646, 519, 22597, 3919, 20658, 978, 822, 1731, 18966, 540, 715, 684, 822, 583, 543, 15217, 7858, 7007, 519, 715, 684, 822, 583, 8092, 28787, 338, 15716, 9896, 538, 476, 1960, 274, 269, 2060, 713, 267, 27478, 6913, 3152, 1582, 3766, 4261, 766, 267, 19642, 540, 741, 3338, 543, 2200, 1247, 24590, 609, 519, 8225, 2229, 519, 9021, 936, 1072, 1416, 267, 2069, 267, 2804, 1646, 543, 8027, 563, 25565, 27478, 5321, 941, 15409, 547, 3514, 741, 10859, 5991, 558, 19631, 6197, 269, 8616, 267, 519, 1101, 8075, 602, 519, 5313, 2229, 3710, 538, 519, 476, 3422, 271, 338, 941, 12735, 4240, 609, 2042, 689, 5393, 1164, 1942, 540, 4070, 543, 5826, 2152, 1813, 547, 741, 7306, 267, 4057, 2298, 2326, 267, 16283, 6272, 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 ]

[ 0, 258, 2979, 692, 14006, 539, 676, 16317, 338, 9876, 519, 1062, 540, 5276, 4834, 692, 273, 343, 266, 273, 344, 284, 272, 454, 274, 343, 3917, 284, 277, 692, 628, 3471, 692, 1892, 2979, 910, 692, 273, 343, 266, 273, 344, 284, 272, 454, 1607, 835, 568, 6654, 269, 3807, 7941, 519, 14170, 676, 1142, 824, 267, 543, 1491, 1022, 16526, 543, 10208, 873, 676, 2933, 780, 274, 343, 3917, 284, 277, 454, 1607, 835, 568, 513, 3787, 27162, 615, 269, 3689, 267, 596, 991, 547, 4009, 3388, 269, 3973, 1039, 476, 275, 267, 10208, 476, 278, 267, 543, 1491, 519, 4009, 3597, 540, 621, 782, 269, 898, 949, 711, 3100, 1318, 267, 855, 621, 4959, 9425, 1950, 780, 1892, 2979, 910, 692, 273, 343, 266, 273, 344, 284, 272, 454, 277, 343, 268, 273, 344, 284, 1321, 692, 268, 275, 343, 15871, 1556, 454, 343, 284, 476, 1556, 270, 275, 692, 273, 263, 1556, 270, 275, 11924, 273, 344, 284, 272, 454, 272, 268, 2420, 270, 275, 284, 273, 344, 454, 268, 1240, 270, 275, 284, 273, 344, 454, 268, 1240, 270, 279, 284, 344, 692, 1892, 2979, 910, 692, 272, 560, 3830, 4534, 15010, 476, 273, 343, 1341, 476, 273, 344, 815, 476, 272, 454, 273, 526, 3830, 2053, 476, 273, 4534, 15010, 476, 277, 343, 910, 476, 273, 344, 815, 476, 1321, 454, 279, 343, 815, 476, 1724, 454, 343, 815, 476, 1724, 270, 279, 692, 11357, 883, 476, 272, 560, 912, 273, 263, 1724, 270, 279, 266, 476, 273, 344, 815, 476, 272, 454, 273, 344, 815, 476, 272, 910, 476, 1724, 270, 275, 454, 273, 344, 815, 910, 280, 270, 275, 454, 344, 815, 910, 280, 270, 279, 692, 343, 815, 476, 1724, 270, 279, 2073, 586, 815, 910, 280, 270, 279, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 10789, 910, 6061, 5276, 4834, 530, 270, 18839, 692, 763, 2243, 538, 519, 1433, 14509, 281, 834, 22428, 596, 2119, 547, 4194, 513, 1062, 540, 5276, 4834, 1210, 18839, 543, 1205, 713, 1267, 269, 1215, 1082, 3435, 1281, 1142, 1062, 723, 888, 273, 269, 12693, 4569, 692, 2224, 5276, 10659, 547, 4194, 519, 1062, 540, 5276, 4834, 269, 476, 273, 343, 20742, 284, 275, 1535, 3917, 284, 273, 454, 274, 269, 12693, 4569, 692, 8196, 5276, 10659, 547, 4194, 519, 1062, 540, 5276, 4834, 269, 476, 276, 343, 284, 275, 344, 268, 1789, 476, 273, 343, 266, 274, 344, 266, 268, 1321, 454, 275, 269, 12693, 2979, 692, 303, 4041, 17955, 30314, 328, 991, 948, 593, 891, 476, 275, 281, 2608, 275, 344, 284, 1428, 268, 274, 343, 476, 273, 344, 284, 274, 343, 266, 2641, 2608, 275, 343, 284, 276, 344, 268, 1691, 586, 15871, 277, 343, 268, 280, 2608, 276, 343, 284, 275, 344, 268, 1789, 476, 273, 343, 284, 274, 344, 15871, 1321, 2608, 273, 270, 274, 344, 284, 1015, 266, 275, 343, 476, 276, 343, 284, 272, 270, 274, 344, 268, 279, 946, 5276, 10659, 547, 4194, 519, 1062, 540, 5276, 4834, 9684, 596, 8627, 2336, 276, 269, 12693, 2979, 692, 303, 4041, 17955, 30314, 328, 991, 948, 593, 891, 476, 275, 281, 2608, 275, 344, 284, 1428, 268, 274, 343, 476, 273, 344, 284, 274, 343, 266, 2641, 2608, 275, 343, 284, 276, 344, 268, 1691, 586, 15871, 277, 343, 268, 280, 2608, 276, 343, 284, 275, 344, 268, 1789, 476, 273, 343, 284, 274, 344, 15871, 1321, 2608, 273, 270, 274, 344, 284, 1015, 266, 275, 343, 476, 276, 343, 284, 272, 270, 274, 344, 268, 279, 946, 5276, 10659, 547, 4194, 519, 1062, 540, 5276, 4834, 9684, 596, 8627, 2336, 277, 269, 12693, 2979, 692, 328, 1152, 991, 948, 593, 891, 1079, 281, 2608, 273, 270, 274, 344, 284, 1015, 266, 275, 343, 476, 276, 343, 284, 272, 270, 274, 344, 268, 279, 2608, 276, 343, 284, 275, 344, 268, 1789, 476, 273, 343, 266, 274, 344, 15871, 1321, 14192, 3918, 290, 16739, 281, 2224, 5276, 10659, 547, 4194, 519, 1062, 540, 5276, 4834, 907, 7064, 2433, 994, 278, 269, 12693, 7223, 692, 24169, 519, 1062, 540, 5276, 4834, 676, 24275, 476, 274, 343, 20742, 284, 271, 476, 273, 343, 3917, 284, 276, 8641, 519, 1062, 1548, 568, 519, 3070, 540, 519, 1062, 540, 4834, 888, 279, 269, 12693, 10789, 692, 8340, 519, 1297, 540, 519, 3435, 547, 1142, 1062, 269, 513, 269, 476, 275, 343, 3917, 266, 272, 284, 271, 476, 275, 343, 3917, 266, 274, 284, 271, 536, 269, 476, 273, 343, 3917, 266, 275, 284, 271, 476, 275, 343, 268, 273, 344, 266, 279, 284, 271, 3503, 513, 2243, 602, 666, 581, 12193, 1210, 513, 1062, 540, 5276, 4834, 269, 16534, 519, 1739, 1062, 540, 4834, 676, 24275, 281, 586, 24210, 266, 274, 543, 586, 15871, 273, 343, 268, 274, 454, 280, 269, 12693, 2979, 31059, 4834, 692, 21132, 513, 1650, 1966, 281, 634, 10760, 654, 681, 21123, 12651, 1152, 16933, 543, 9640, 269, 1703, 616, 2698, 476, 22430, 2831, 269, 634, 8227, 27422, 9640, 547, 16933, 267, 865, 646, 814, 476, 7367, 811, 9640, 982, 16933, 269, 513, 269, 3503, 1079, 1114, 5276, 4834, 547, 2203, 713, 3510, 269, 6693, 1015, 269, 12693, 13174, 692, 24169, 519, 1739, 1062, 540, 5276, 4834, 676, 1840, 269, 1473, 6510, 2436, 519, 2016, 1062, 540, 5276, 4834, 568, 5812, 267, 22522, 267, 610, 8200, 269, 1403, 519, 1062, 568, 5812, 267, 1265, 519, 3070, 269, 2715, 6629, 278, 343, 1341, 476, 278, 344, 6567, 280, 343, 2560, 692, 5415, 5381, 5999, 0, 258, 17434, 3892, 540, 5021, 543, 5934, 540, 513, 536, 21725, 3339, 3892, 692, 22428, 3230, 311, 815, 630, 311, 318, 272, 267, 311, 318, 273, 8203, 307, 1422, 13678, 715, 7268, 14153, 267, 1422, 306, 7950, 14638, 267, 1141, 6695, 14153, 815, 7268, 14153, 318, 272, 12101, 14153, 318, 273, 8203, 307, 2330, 543, 6695, 306, 7950, 284, 1422, 8218, 32413, 348, 1422, 18406, 318, 272, 317, 273, 1299, 1422, 24838, 315, 18406, 318, 272, 315, 18406, 318, 273, 8607, 1422, 24838, 315, 18406, 318, 272, 315, 18406, 318, 273, 1299, 1422, 18406, 318, 273, 317, 273, 1422, 754, 32413, 6525, 269, 634, 7824, 540, 6695, 2381, 11583, 318, 272, 267, 311, 318, 273, 14638, 543, 6695, 10946, 11583, 318, 272, 267, 311, 318, 273, 14638, 568, 1134, 1634, 269, 1809, 1018, 568, 519, 4745, 3892, 630, 528, 7824, 264, 540, 6695, 2381, 11583, 318, 272, 267, 311, 318, 273, 14638, 543, 6695, 10946, 11583, 318, 272, 267, 311, 318, 273, 14638, 2496, 1892, 1411, 949, 849, 1616, 547, 1294, 713, 630, 329, 2002, 3892, 540, 1931, 7194, 2567, 679, 25769, 3820, 28293, 270, 16634, 9947, 476, 272, 267, 476, 1001, 280, 693, 476, 276, 281, 4962, 692, 17653, 1227, 267, 1422, 8218, 9387, 348, 535, 3287, 318, 272, 21726, 318, 273, 264, 261, 284, 325, 3287, 318, 272, 21726, 318, 273, 9385, 289, 6277, 594, 3709, 343, 318, 272, 343, 318, 273, 27874, 1299, 7807, 289, 6277, 623, 11583, 318, 272, 311, 318, 273, 9385, 2765, 346, 325, 3287, 318, 272, 21726, 318, 273, 9385, 289, 6277, 594, 3709, 343, 318, 272, 285, 343, 318, 273, 24828, 289, 6277, 623, 11583, 318, 272, 285, 311, 318, 273, 264, 27874, 1299, 7807, 289, 6277, 623, 11583, 318, 272, 311, 318, 273, 9385, 2765, 346, 325, 3287, 3709, 263, 273, 264, 9574, 343, 3709, 263, 272, 14587, 264, 7346, 289, 6277, 623, 11583, 318, 272, 285, 311, 318, 273, 264, 4153, 11138, 754, 9387, 8679, 1892, 11289, 596, 256, 1809, 594, 1705, 711, 1205, 1946, 596, 9062, 543, 7941, 1269, 303, 11583, 318, 272, 2999, 2473, 318, 273, 7751, 693, 519, 2034, 1900, 269, 2433, 263, 9947, 476, 272, 267, 476, 1001, 280, 693, 476, 275, 281, 6812, 454, 4131, 3230, 312, 318, 272, 2330, 543, 3230, 312, 318, 273, 2330, 581, 519, 1295, 543, 3193, 269, 3230, 7468, 263, 312, 318, 272, 1422, 548, 521, 267, 962, 318, 273, 1422, 548, 512, 264, 815, 2398, 630, 311, 318, 272, 1422, 548, 512, 267, 2473, 318, 273, 1422, 548, 512, 9984, 2398, 4433, 1422, 548, 2473, 318, 272, 1422, 548, 512, 267, 521, 1422, 548, 2473, 318, 273, 1422, 548, 512, 264, 815, 2398, 11583, 318, 272, 1422, 548, 521, 267, 2473, 318, 273, 1422, 548, 512, 264, 1341, 7468, 11583, 318, 272, 1422, 548, 512, 267, 2473, 318, 273, 1422, 548, 521, 264, 910, 2398, 630, 311, 318, 272, 1422, 548, 521, 267, 2473, 318, 273, 1422, 548, 521, 14638, 14171, 16755, 267, 3230, 325, 4433, 25722, 264, 815, 1422, 12978, 4433, 25722, 264, 10954, 12978, 6025, 29679, 1070, 2330, 1141, 6695, 12978, 2330, 568, 519, 7824, 540, 519, 536, 21725, 3339, 3892, 563, 1892, 901, 3112, 7654, 581, 2953, 267, 1317, 952, 1269, 339, 259, 4564, 519, 3193, 543, 1269, 338, 259, 519, 1295, 267, 1287, 519, 5860, 1590, 581, 4642, 16382, 1269, 339, 1422, 2741, 521, 269, 259, 901, 568, 1946, 7711, 311, 328, 262, 534, 12799, 2882, 13525, 3252, 4399, 13992, 346, 296, 4151, 538, 1010, 4542, 269, 0, 258, 1215, 1684, 1411, 12433, 25021, 19105, 2496, 272, 269, 476, 11025, 454, 978, 675, 19817, 739, 539, 476, 277, 1296, 3516, 692, 1692, 1684, 1411, 12433, 25021, 19105, 2496, 288, 3001, 3328, 568, 849, 519, 12902, 3328, 267, 12902, 1611, 610, 4881, 3328, 269, 1548, 3017, 568, 972, 1063, 513, 2241, 3001, 3328, 267, 19469, 3001, 3328, 267, 543, 22051, 3001, 3328, 2496, 273, 269, 476, 271, 454, 20412, 639, 268, 613, 5852, 14006, 539, 476, 277, 1296, 3516, 692, 2252, 596, 723, 606, 10288, 3126, 540, 2338, 267, 1287, 519, 3001, 3328, 568, 513, 3126, 540, 25939, 540, 25098, 540, 15654, 2338, 538, 602, 3126, 269, 1109, 1323, 1383, 568, 4440, 538, 1931, 1934, 269, 1109, 2913, 781, 2161, 596, 2594, 519, 1297, 540, 13189, 596, 8673, 1142, 3018, 585, 513, 1974, 540, 476, 1321, 4374, 543, 707, 1239, 568, 713, 1384, 1321, 267, 476, 1015, 267, 476, 279, 267, 476, 736, 267, 476, 1724, 267, 476, 1691, 267, 476, 2420, 267, 476, 866, 267, 476, 1015, 267, 476, 1556, 267, 476, 1428, 267, 476, 1691, 692, 2252, 596, 1616, 547, 5173, 519, 2185, 22173, 3001, 3328, 540, 713, 3126, 267, 596, 3328, 519, 1101, 2185, 2338, 267, 1287, 519, 1985, 2185, 15654, 2338, 267, 1287, 519, 1985, 2185, 267, 3092, 1862, 1924, 596, 1205, 692, 1321, 269, 276, 267, 476, 1321, 269, 4037, 267, 476, 1724, 269, 4037, 267, 476, 1704, 269, 1839, 267, 476, 1704, 267, 476, 1626, 269, 1839, 267, 476, 1428, 269, 276, 267, 476, 1724, 269, 4037, 267, 476, 1321, 269, 276, 692, 763, 3001, 3328, 1592, 814, 7864, 2338, 982, 519, 3312, 1592, 269, 1109, 769, 513, 22051, 3001, 3328, 267, 519, 2338, 723, 1114, 12035, 267, 585, 1383, 267, 596, 1522, 2597, 519, 1647, 2338, 811, 8185, 982, 519, 7475, 269, 1109, 769, 513, 19469, 3001, 3328, 267, 596, 3328, 811, 543, 811, 2338, 1142, 942, 2394, 519, 3803, 3328, 799, 568, 1175, 519, 3328, 540, 519, 3003, 1305, 780, 272, 269, 476, 271, 454, 20412, 639, 268, 613, 5852, 14006, 539, 476, 277, 1296, 3516, 514, 16253, 547, 713, 692, 2080, 781, 606, 2228, 9498, 602, 786, 12337, 621, 5488, 982, 676, 1688, 1384, 10674, 2517, 4178, 269, 17495, 273, 3104, 2593, 11721, 12099, 4882, 574, 921, 268, 2560, 561, 1807, 11258, 692, 11529, 0, 344, 612, 597, 4280, 538, 3163, 1299, 9119, 12385, 24136, 5788, 476, 276, 3275, 3516, 692, 258, 17832, 9163, 948, 2496, 3682, 557, 519, 3961, 1384, 6262, 657, 15184, 910, 5609, 15184, 264, 1315, 630, 6523, 15184, 1341, 5609, 15184, 264, 815, 3813, 273, 263, 15184, 264, 910, 16009, 273, 263, 15184, 2020, 628, 3471, 865, 1454, 256, 1397, 960, 5225, 780, 10000, 11845, 1384, 12663, 8366, 1655, 2626, 8627, 2439, 2162, 476, 274, 12226, 692, 3725, 23428, 454, 1892, 476, 276, 3275, 3516, 692, 6262, 657, 263, 9064, 264, 910, 5609, 263, 9064, 4297, 1315, 630, 6523, 263, 9064, 264, 1341, 5609, 263, 9064, 11723, 284, 630, 6523, 263, 9064, 264, 910, 5609, 263, 9064, 4297, 317, 273, 1315, 630, 6523, 263, 9064, 264, 1341, 5609, 263, 9064, 4297, 263, 6523, 263, 9064, 264, 910, 5609, 263, 9064, 11723, 284, 630, 6523, 317, 273, 263, 9064, 264, 910, 476, 273, 5609, 263, 9064, 264, 6523, 263, 9064, 264, 1341, 5609, 317, 273, 263 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7476, 948, 609, 1022, 2186, 540, 1788, 910, 689, 513, 1164, 1153, 1557, 547, 513, 12854, 12031, 454, 1103, 713, 13181, 2376, 267, 594, 786, 581, 7421, 513, 1906, 540, 519, 6698, 538, 15656, 13177, 2051, 518, 3805, 781, 6648, 267, 1412, 763, 681, 830, 540, 519, 9147, 3057, 10719, 9538, 6902, 29062, 941, 1360, 1271, 538, 713, 6648, 269, 3687, 639, 519, 6698, 267, 1412, 763, 681, 830, 540, 519, 9147, 3057, 10719, 262, 282, 1131, 581, 3274, 513, 6648, 827, 606, 2025, 2261, 10719, 945, 568, 10213, 513, 1650, 827, 11318, 513, 6177, 547, 513, 16823, 693, 513, 16806, 1485, 269, 10261, 1652, 547, 2161, 267, 24455, 945, 14509, 519, 6648, 666, 1294, 602, 972, 568, 811, 547, 621, 982, 1152, 513, 3551, 10213, 540, 513, 2239, 269, 634, 1101, 3090, 538, 519, 6648, 568, 519, 16806, 519, 16823, 543, 519, 3057, 10719, 616, 538, 269, 901, 568, 513, 3810, 1271, 1469, 267, 1317, 2051, 518, 3805, 1522, 723, 2451, 519, 1650, 10213, 2049, 693, 1022, 2016, 4259, 267, 855, 646, 8359, 513, 16806, 269, 4208, 286, 589, 16806, 568, 513, 2731, 3909, 267, 1360, 6126, 8317, 269, 11205, 26204, 538, 543, 540, 2933, 21843, 1007, 20297, 543, 18399, 269, 634, 2601, 1946, 602, 2051, 518, 3805, 4956, 547, 723, 713, 3520, 5090, 9661, 5143, 538, 513, 7365, 1522, 581, 585, 1022, 1297, 540, 2188, 269, 594, 1745, 602, 519, 5790, 729, 6074, 1317, 540, 519, 1007, 20297, 22466, 269, 1306, 519, 3057, 10719, 6645, 1010, 1650, 267, 519, 16823, 568, 4371, 27604, 543, 607, 4166, 607, 519, 1650, 568, 6192, 267, 519, 16823, 4991, 9247, 513, 6216, 1007, 812, 543, 4422, 1055, 547, 2661, 519, 14230, 540, 1010, 1272, 269, 16874, 519, 2239, 3144, 1747, 538, 513, 24133, 267, 519, 1713, 4743, 540, 10678, 1223, 723, 10032, 519, 13513, 540, 4195, 20297, 269, 7736, 540, 1272, 267, 540, 8788, 267, 540, 3388, 269, 1403, 713, 1185, 7018, 267, 1287, 519, 2241, 1249, 646, 9782, 519, 1985, 1554, 9327, 1405, 723, 1044, 607, 1713, 269, 9747, 267, 519, 16806, 568, 606, 1898, 3090, 1282, 519, 6648, 269, 634, 11549, 520, 1484, 568, 1776, 1713, 3090, 1282, 519, 6648, 269, 898, 1101, 5526, 538, 519, 1101, 3296, 540, 519, 6648, 267, 543, 621, 781, 513, 1129, 540, 1434, 522, 5443, 585, 519, 25501, 269, 634, 11549, 520, 1484, 568, 513, 3043, 6177, 267, 799, 568, 4440, 519, 1292, 2601, 1082, 10271, 540, 713, 1974, 4718, 621, 607, 513, 10723, 3090, 267, 799, 2451, 621, 513, 1434, 522, 5443, 269, 769, 713, 6648, 267, 519, 11549, 520, 1484, 4564, 1434, 19539, 269, 1879, 519, 3057, 10719, 19754, 519, 11549, 520, 1484, 267, 585, 1100, 2601, 267, 519, 1434, 19539, 602, 814, 2097, 2390, 519, 6928, 3762, 269, 13507, 1227, 267, 519, 3057, 10719, 4769, 1405, 6146, 513, 2241, 26026, 2273, 267, 855, 606, 522, 5443, 540, 1434, 9939, 543, 19539, 267, 799, 568, 1946, 782, 519, 15265, 1919, 2049, 547, 519, 25501, 543, 519, 3057, 10719, 269, 634, 11549, 520, 1484, 4422, 689, 1373, 513, 1129, 540, 5601, 19539, 547, 835, 540, 16203, 950, 621, 781, 8288, 1472, 519, 3057, 10719, 781, 8405, 607, 513, 16315, 540, 1018, 646, 814, 2944, 269, 1412, 21156, 540, 519, 3444, 267, 519, 19186, 520, 1484, 6168, 1250, 8405, 729, 17735, 262, 6902, 630, 15238, 269, 476, 16318, 268, 6246, 264, 901, 5672, 629, 337, 1862, 0, 298, 518, 4459, 3778, 267, 7731, 595, 6135, 1299, 3213, 1846, 540, 1488, 916, 454, 298, 518, 4459, 568, 513, 2012, 540, 3504, 17454, 29509, 5169, 543, 2501, 689, 519, 1920, 2899, 2348, 5030, 538, 519, 8498, 540, 23715, 16466, 1336, 538, 519, 25110, 540, 2776, 560, 12064, 538, 519, 10315, 540, 27991, 10921, 563, 15900, 17959, 540, 519, 23715, 4459, 1920, 454, 763, 21519, 23715, 4459, 729, 1101, 1336, 538, 27991, 10921, 267, 538, 519, 8498, 540, 23715, 16466, 269, 634, 1747, 2012, 729, 6508, 689, 834, 4486, 25170, 1701, 1717, 267, 649, 1590, 1413, 547, 22206, 13083, 585, 519, 9998, 2594, 540, 519, 1920, 607, 3627, 23715, 14141, 729, 10805, 972, 538, 476, 15782, 278, 269, 5565, 1296, 2663, 267, 519, 1920, 834, 665, 15479, 538, 519, 5638, 540, 14480, 16049, 585, 476, 15782, 280, 1701, 3097, 30131, 667, 919, 585, 519, 23715, 4459, 1920, 454, 1607, 1357, 2985, 2982, 1152, 513, 1507, 21626, 540, 938, 23715, 4459, 1382, 269, 6271, 476, 12208, 1913, 630, 279, 3515, 540, 1257, 264, 8720, 519, 1296, 476, 15171, 278, 267, 476, 13923, 275, 267, 476, 14321, 272, 267, 476, 9873, 279, 267, 476, 14065, 277, 267, 476, 14341, 279, 267, 476, 14690, 279, 543, 476, 9264, 279, 616, 3769, 896, 519, 1888, 7216, 23715, 4459, 3778, 538, 782, 938, 7300, 27326, 3778, 2472, 543, 9102, 2472, 16382, 2009, 563, 298, 518, 4459, 26538, 29938, 454, 306, 895, 729, 1018, 11461, 10259, 538, 519, 9247, 840, 2000, 30185, 5664, 12698, 267, 865, 835, 1268, 781, 2012, 729, 1419, 6592, 896, 1896, 7648, 1282, 513, 2582, 10715, 269, 4746, 267, 1354, 519, 4417, 540, 519, 8228, 2046, 543, 519, 1101, 21594, 267, 519, 2296, 1893, 729, 711, 13387, 269, 4475, 267, 10259, 7648, 941, 1455, 267, 1256, 1851, 519, 4408, 540, 519, 1034, 2148, 622, 1004, 269, 19612, 7648, 540, 519, 23715, 4459, 1920, 2012, 1331, 23715, 16466, 267, 23715, 14141, 267, 23715, 5341, 267, 23715, 878, 515, 267, 23715, 903, 3832, 543, 1866, 563, 15900, 3502, 1963, 540, 519, 23715, 4459, 1920, 630, 2181, 476, 10204, 271, 994, 5194, 476, 4097, 1913, 630, 273, 3515, 540, 1257, 264, 616, 3769, 896, 519, 1888, 7216, 23715, 4459, 3502, 1963, 538, 782, 938, 7300, 27326, 3778, 2472, 543, 9102, 2472, 16382, 2009, 563, 298, 518, 4459, 9194, 547, 1715, 10215, 454, 10387, 12568, 547, 1715, 10215, 4553, 538, 519, 3723, 25074, 540, 519, 3864, 17701, 267, 971, 607, 18279, 13648, 630, 12293, 280, 268, 3583, 2567, 1101, 3357, 13021, 619, 267, 627, 531, 619, 267, 28773, 267, 543, 18318, 269, 1635, 476, 8146, 279, 267, 519, 3703, 1715, 10215, 7577, 1185, 13175, 9140, 2244, 689, 519, 8575, 9461, 11031, 267, 543, 9513, 621, 547, 13896, 267, 543, 267, 1310, 519, 15521, 540, 27016, 30231, 538, 476, 7277, 271, 267, 1082, 3703, 3885, 1305, 856, 593, 519, 818, 706, 748, 3670, 3923, 3460, 689, 6628, 547, 589, 582, 792, 10394, 547, 1376, 513, 1007, 1272, 269, 7216, 11082, 1331, 912, 298, 518, 4459, 5590, 339, 6840, 538, 1715, 10215, 538, 519, 476, 866, 628, 11416, 454, 268, 6004, 269, 22189, 631, 23715, 4459, 267, 630, 321, 269, 476, 6977, 279, 1070, 9907, 476, 736, 267, 12397, 880, 3484, 2978, 537, 17243, 8977, 532, 593, 476, 3066, 628, 4864, 476, 6942, 279, 20829, 519, 6928, 834, 310, 7159, 4673, 257, 2469, 547, 18671, 742, 610, 17305, 6210, 267, 1715, 10215, 21945, 538, 2823, 593, 476, 274, 6113, 5412, 476, 6942, 279, 3097, 28757, 3502, 1963, 540, 519, 2012, 23715, 4459, 630, 14006, 476, 10204, 271, 994, 268, 654, 269, 744, 269, 23715, 4459, 267, 1977, 22267, 267, 26302, 540, 13244, 30434, 267, 4993, 267, 476, 4572, 276, 268, 2767, 3097, 268, 7338, 595, 269, 23715, 4459, 267, 1977, 22267, 267, 1546, 5586, 622, 547, 13325, 3557, 25799, 13482, 476, 2918, 628, 10588, 267, 476, 4572, 271, 268, 2420, 3097, 268, 808, 269, 654, 269, 23715, 4459, 267, 1977, 22267, 267, 16588, 540, 4993, 3557, 13909, 476, 1626, 628, 10588, 267, 476, 6642, 274, 268, 5952, 3097, 268, 9745, 2871, 653, 344, 267, 8361, 645, 893, 600, 267, 23467, 540, 7731, 18780, 538, 4279, 6628, 269, 476, 6245, 271, 269, 7179, 563, 268, 9745, 12397, 13665, 6732, 3474, 880, 1849, 518, 802, 269, 630, 14303, 7205, 476, 1001, 279, 267, 4989, 476, 1789, 1040, 2506, 580, 7847, 547, 824, 16788, 267, 476, 6942, 273, 910, 476, 10019, 1496, 14457, 4940, 8158, 689, 5291, 2517, 4178, 269, 641, 322, 2275, 1941, 13665, 3820, 270, 4910, 322, 9706, 4206, 338, 270, 2908, 318, 2763, 531, 663, 318, 817, 13554, 15005, 454, 268, 9745, 634, 11572, 3400, 3272, 731, 281, 22843, 673, 8745, 12039, 269, 630, 14303, 7205, 476, 1001, 276, 267, 5239, 476, 278, 264, 1547, 8158, 689, 5291, 2517, 335, 11823, 6588, 3272, 731, 2593, 270, 10401, 27651, 11258, 0, 288, 330, 1258, 19315, 1470, 2551, 1686, 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, 454, 288, 330, 1258, 630, 270, 476, 16659, 3331, 355, 737, 678, 476, 16745, 333, 1315, 264, 568, 519, 11359, 28376, 2749, 538, 519, 772, 2529, 269, 1533, 540, 11882, 543, 568, 519, 10315, 10160, 540, 27169, 6019, 20193, 568, 4092, 593, 519, 7262, 6316, 540, 519, 3794, 659, 7007, 1325, 5586, 1156, 344, 17934, 879, 267, 827, 476, 1789, 5195, 630, 4366, 5998, 264, 5045, 540, 25350, 269, 2026, 540, 519, 476, 1001, 279, 17227, 7447, 267, 519, 2749, 1697, 1185, 513, 2698, 2551, 540, 476, 2735, 267, 24879, 267, 1818, 621, 519, 476, 15686, 628, 28376, 2749, 538, 519, 2136, 2276, 563, 2690, 519, 476, 1626, 628, 15654, 5162, 267, 519, 4975, 540, 13019, 1258, 786, 1683, 7264, 543, 8436, 513, 4005, 540, 9205, 1187, 543, 2238, 585, 4079, 543, 1453, 269, 29036, 11882, 779, 1034, 2442, 5544, 547, 4672, 25920, 543, 8661, 519, 9702, 4005, 786, 4183, 1920, 7888, 2621, 543, 18845, 782, 5162, 269, 901, 1032, 779, 1007, 1840, 267, 10979, 645, 10105, 267, 786, 4429, 16729, 2622, 2782, 4083, 267, 13019, 1258, 781, 7264, 5185, 930, 2352, 2883, 2053, 269, 634, 2757, 6080, 602, 4847, 519, 2749, 547, 10653, 1282, 519, 476, 5197, 271, 338, 543, 2038, 476, 5002, 271, 338, 3459, 547, 7771, 269, 1306, 513, 1267, 540, 713, 2804, 15125, 1248, 267, 13019, 1258, 814, 4810, 513, 19394, 2551, 269, 769, 476, 4198, 271, 267, 5176, 476, 22550, 267, 1822, 759, 3660, 538, 13019, 1258, 563, 288, 330, 1258, 267, 27846, 814, 513, 2551, 540, 476, 2735, 267, 2004, 279, 543, 568, 519, 476, 15686, 628, 4102, 2749, 538, 519, 2136, 2276, 269, 634, 2551, 5860, 568, 476, 274, 267, 1001, 829, 13483, 11465, 799, 568, 476, 14625, 274, 260, 2362, 982, 519, 11882, 3328, 543, 476, 29340, 274, 260, 2362, 982, 519, 3084, 3328, 269, 634, 11667, 2085, 538, 13019, 1258, 568, 476, 4391, 799, 568, 5111, 476, 278, 260, 2539, 982, 519, 11882, 3328, 540, 476, 4375, 563, 763, 13019, 1258, 267, 11882, 267, 23195, 8579, 1858, 267, 607, 3989, 676, 519, 2136, 2276, 8433, 540, 5004, 543, 20907, 267, 568, 606, 1858, 9967, 540, 1079, 17521, 267, 27169, 543, 5800, 720, 267, 538, 29036, 11882, 543, 568, 12979, 1819, 676, 519, 2749, 540, 13019, 1258, 269, 1306, 540, 519, 476, 1001, 271, 14829, 267, 519, 631, 6347, 1185, 513, 2551, 540, 476, 3583, 274, 267, 1220, 563, 288, 330, 1258, 267, 11882, 630, 15121, 264, 9043, 281, 2551, 267, 7851, 267, 1483, 10040, 4429, 307, 1941, 5964, 2534, 281, 13019, 1258, 268, 19327, 3140, 28575, 2534, 568, 2282, 11882, 1533, 3328, 20193, 568, 476, 1556, 260, 3152, 982, 519, 2949, 772, 2529, 269, 3328, 907, 2201, 476, 276, 270, 4029, 270, 2735, 276, 267, 513, 7121, 674, 276, 630, 10946, 269, 2842, 11250, 476, 28360, 268, 28760, 18890, 264, 28575, 476, 2641, 269, 272, 5195, 2476, 689, 519, 13019, 1258, 2749, 4099, 7166, 476, 1240, 1004, 543, 13676, 476, 20542, 1004, 543, 3361, 1063, 1269, 2004, 267, 1822, 267, 1822, 543, 1269, 4335, 267, 1822, 267, 1822, 538, 14796, 907, 2201, 476, 275, 270, 1556, 270, 3422, 276, 267, 513, 7121, 674, 275, 630, 10946, 269, 2842, 11250, 476, 21709, 4429, 14532, 540, 13019, 1258, 267, 11882, 769, 476, 9264, 276, 267, 4937, 17363, 3131, 9469, 267, 606, 11882, 22575, 10243, 518, 267, 543, 513, 3936, 2401, 3957, 6754, 13879, 1185, 519, 22509, 697, 547, 1294, 519, 5413, 540, 513, 4087, 693, 519, 5207, 1448, 540, 519, 2943, 3562, 15515, 32472, 11882, 543, 661, 4471, 22575, 563, 14813, 334, 256, 2171, 2125, 924, 6206, 5320, 21909, 687, 547, 3313, 519, 6249, 540, 707, 3896, 543, 2488, 20438, 10372, 2059, 609, 20438, 6808, 9193, 269, 4855, 5215, 540, 4143, 543, 2442, 17161, 538, 513, 8216, 602, 616, 1644, 547, 707, 5697, 20438, 609, 713, 20438, 11718, 0, 763, 2136, 2276, 9411, 883 ]

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

[ 28938, 2593, 270, 26877, 636, 1588, 454, 21366, 281, 476, 2412, 278, 278, 2420, 276, 7629, 636, 1588, 454, 1692, 547, 2721, 513, 15529, 610, 536, 22324, 2987, 2653, 3268, 585, 1453, 267, 3214, 267, 14987, 3992, 11053, 583, 3645, 540, 5373, 4480, 1547, 14301, 5850, 267, 9209, 20861, 962, 19834, 11473, 4427, 18285, 4179, 2517, 4178, 28938, 2593, 4882, 889, 2675, 3628, 318, 22487, 286, 5417, 318, 12528, 284, 322, 691, 3019, 327, 889, 7591, 4289, 4179, 2517, 4178, 28938, 2593, 270, 2452, 4289, 286, 4289, 284, 12195, 9331, 280, 339, 312, 342, 1673, 336, 280, 301, 7495, 307, 278, 321, 714, 343, 2129, 299, 321, 1839, 10870, 313, 4211, 298, 302, 19534, 5291, 2517, 322, 691, 3019, 327, 889, 2593, 270, 18248, 5291, 2517, 322, 691, 3019, 327, 889, 2420, 269, 24108, 4944, 582, 23357, 13045, 21366, 281, 476, 13923, 23283, 280, 14295, 3019, 16735, 454, 20756, 16764, 256, 898, 781, 942, 585, 513, 1612, 1328, 689, 707, 5172, 968, 300, 2075, 609, 513, 631, 1926, 5608, 16458, 23051, 256, 30180, 538, 519, 3905, 572, 520, 538, 713, 16458, 23051, 476, 273, 3474, 1328, 607, 649, 1265, 856, 952, 16458, 23051, 666, 538, 1249, 5884, 269, 4270, 2110, 2626, 568, 621, 781, 3833, 7294, 585, 938, 5869, 16458, 23051, 267, 543, 513, 1906, 2556, 1919, 723, 547, 4755, 1354, 16458, 23051, 666, 538, 1249, 5884, 269, 7102, 1811, 267, 1265, 856, 952, 16458, 23051, 666, 5884, 538, 713, 16458, 23051, 476, 273, 3474, 1328, 269, 1656, 2972, 930, 13849, 9644, 1369, 713, 16458, 23051, 476, 273, 3474, 1328, 602, 1612, 3672, 2907, 13849, 9644, 1862, 810, 594, 7058, 596, 666, 2161, 649, 1205, 1256, 811, 13849, 982, 519, 3312, 1862, 6202, 4440, 711, 1862, 8117, 693, 2547, 649, 666, 2161, 649, 6836, 267, 543, 25473, 267, 602, 568, 1434, 2614, 585, 803, 269, 7102, 15367, 267, 2972, 713, 16458, 23051, 476, 273, 3474, 1328, 256, 24639, 7034, 31304, 23813, 281, 4179, 2517, 4178, 28938, 2593, 11305, 270, 763, 10111, 8527, 663, 22025, 6737, 17004, 22244, 17395, 721, 593, 281, 4179, 2517, 4178, 269, 2183, 1504, 2593, 270, 8364, 8527, 663, 13607, 520, 657, 6011, 270, 674, 5357, 299, 8582, 721, 593, 281, 4179, 2517, 13512, 7867, 2593, 14727, 663, 303, 17004, 849, 1862, 674, 5357, 299, 8582, 721, 593, 281, 5291, 2517, 8364, 8527, 663, 13607, 520, 657, 6011, 6745, 3518, 331, 337, 2593, 674, 5357, 299, 8582, 721, 593, 281, 4179, 2517, 4178, 4877, 15517, 2593, 270, 663, 13607, 6737, 270, 6145, 270, 18704, 952, 596, 10150, 621, 256, 8946, 3198, 16775, 11123, 654, 2969, 6224, 5058, 2336, 21366, 281, 476, 278, 4037, 4281, 276, 276, 634, 2961, 8527, 543, 8000, 6737, 8058, 454, 8923, 6145, 267, 4427, 18285, 543, 2671, 256, 8081, 3057, 21289, 256, 29477, 484, 5291, 2517, 4226, 269, 569, 270, 272, 749, 278, 5141, 29477, 484, 17676, 27107, 22003, 288, 23333, 3036, 5058, 623, 8980, 2464, 281, 29477, 484, 5291, 2517, 4178, 269, 3405, 714, 600, 990, 773, 2593, 270, 3712, 1681, 1790, 1137, 270, 29477, 484, 966, 3041, 3951, 5990, 5508, 293, 2975, 24361, 25723, 7034, 25492, 11123, 27749, 5442, 19489, 7246, 3582, 6730, 8121, 4811, 6730, 595, 32323, 4811, 22244, 17395, 23333, 3036, 5058, 623, 8980, 2464, 6730, 10758, 5456, 4456, 296, 256, 29477, 484, 5291, 2517, 4178, 269, 3405, 714, 600, 990, 773, 2593, 29477, 484, 6145, 3057, 21289, 593, 9365, 256, 29477, 484, 4179, 2517, 4178, 269, 2183, 1504, 2593, 9706, 1137, 270, 11321, 21289, 270, 276, 3066, 278, 8618, 4375, 274, 4281, 272, 27898, 29477, 484, 3057, 21289, 568, 513, 16168, 2110, 476, 274, 323, 19347, 4670, 594, 2813, 1394, 538, 476, 1220, 279, 585, 519, 10790, 540, 1323, 11582, 1576, 594, 3576, 538, 519, 14318, 1153, 540, 519, 2160, 540, 5303, 17638, 269, 2991, 513, 1032, 540, 1818, 621, 781, 2196, 538, 519, 13037, 11387, 594, 723, 4956, 547, 2022, 621, 593, 11060, 585, 4896, 547, 1294, 269, 6884, 922, 2182, 547, 1847, 513, 29134, 1810, 4486, 855, 513, 3787, 540, 19967, 2575, 1175, 1223, 798, 519, 8945, 269, 6034, 539, 18025, 22004, 270, 2304, 13846, 543, 3798, 1243, 676, 4790, 14932, 918, 31051, 529, 8535, 834, 313, 528, 9346, 781, 19933, 257, 676, 631, 1731, 529, 23323, 528, 752, 529, 2271, 549, 2575, 834, 7069, 330, 517, 657, 257, 676, 8355, 23340, 14675, 676, 22819, 3240, 18708, 267, 8125, 523, 857, 334, 12229, 281, 4201, 3941, 330, 15609, 476, 279, 269, 276, 267, 23489, 2991, 12186, 267, 23489, 2776, 14741, 699, 267, 23489, 26598, 269, 32217, 2752, 9169, 6730, 23414, 8104, 25712, 3582, 281, 9625, 275, 628, 18603, 1323, 574, 325, 652, 476, 1220, 280, 269, 12736, 1676, 540, 476, 274, 6113, 1747, 1299, 10748, 1466, 13815, 269, 9625, 27845, 748, 21542, 4139, 17912, 16635, 476, 1220, 280, 269, 12736, 1676, 7454, 1323, 13846, 17912, 1299, 7454, 1323, 11582, 10748, 1466, 13815, 269, 9625, 26780, 5259, 17912, 16635, 476, 1220, 280, 269, 12736, 1676, 8940, 269, 6665, 3218, 14893, 13815, 269, 9625, 301, 1157, 601, 1712, 517, 1323, 11582, 16635, 476, 1220, 280, 269, 24722, 19139, 269, 9625, 5522, 520, 845, 320, 11473, 280, 281, 808, 1722, 7981, 631, 1549, 269, 28414, 781, 2985, 281, 5291, 2517, 4178, 269, 3405, 714, 600, 990, 773, 2593, 10615, 781, 2985, 281, 5291, 2517, 4178, 269, 534, 11582, 5503, 2593, 16593, 596, 899, 621, 256, 20231, 681, 26996, 4811, 19419, 27263, 3633, 256, 744, 8738, 549, 1855, 574, 657, 334, 630, 309, 6403, 1372, 334, 1621, 571, 9809, 5964, 264, 21844, 367, 510, 424, 356, 495, 14091, 489, 373, 423, 480, 502, 422, 371, 478, 28859, 350, 377, 18713, 374, 7511, 421, 358, 368, 24291, 404, 511, 14534, 8294, 14507, 24291, 28257, 14180, 18716, 21333, 3057, 21289, 3541, 588, 23152, 5142, 3832, 661, 1088, 8342, 3214, 3381, 269, 5753, 7260, 454, 21366, 281, 476, 3707, 275, 4343, 6187, 595, 269, 918, 31051, 529, 454, 8248, 653, 320, 28522, 538, 19446, 910, 634, 10326, 5600, 910, 32172, 18028, 480, 2633, 355, 21005, 918, 1695, 8643, 5984, 910, 19446, 14295, 9398, 585, 8866, 29477, 483, 4427, 18285, 281, 5291, 2517, 4226, 269, 569, 270, 8248, 653, 320, 295, 785, 328, 29477, 483, 589, 777, 632, 16223, 986, 515, 688, 328, 3212, 653, 320, 28522, 25697, 4013, 8756, 269, 3212, 653, 320, 556, 6255, 328, 688, 328, 3284, 928, 544, 16244, 267, 533, 28385, 28050, 669, 1774, 536, 327, 2967, 6723, 1183, 1094, 987, 269, 8080, 547, 519, 24722, 3212, 653, 320, 28522, 8756, 543, 519, 1753, 540, 3212, 653, 320, 593, 13334, 256, 1284, 723, 2813, 513, 1158, 540, 3212, 653, 320, 609, 14501, 543, 735, 559, 725, 547, 1832, 1256, 519, 1034, 6131, 3212, 653, 320, 11655, 6126, 269, 17949, 543, 1810, 1405, 7340, 547, 24049, 269, 29477, 484, 6145, 3212, 653, 320, 28522, 593, 9365, 281, 5291, 2517, 4226, 269, 569, 270, 8248, 653, 320, 303, 580, 293, 289, 29477, 484, 16731, 938, 4013, 3896, 281, 10674, 2517, 4226, 269, 569, 270, 8248, 653, 320, 303, 580, 2171, 2125, 924, 29477, 484, 7427, 3212, 653, 320, 593, 12108, 281, 5291, 2517, 4226, 269, 569, 270, 8248, 653, 320, 303, 580, 23562, 7867, 623, 7968, 5183, 623, 5456, 9736, 589, 4306, 4041, 312, 22601, 298, 2207, 21096, 9654, 2464, 700, 31813, 270, 7728, 12224, 288, 2562, 16774, 21450, 5177, 700, 31813, 476, 1220, 274, 269, 3212, 653, 320, 28522, 2813, 676, 4460, 22823, 543, 3026, 6807, 8330, 2917, 269, 1948, 8248, 653, 777, 580, 2633, 373, 18028, 480, 2633, 355, 21005, 1948, 8248, 653, 777, 580, 295, 785, 328, 1948, 295, 785, 545, 691, 9398, 454, 21366, 281, 476, 278, 1321, 30663, 275, 3212, 653, 320, 28522, 19446, 454, 258, 2304, 24650, 21652, 1740, 1948, 293, 21209, 9209, 309, 1122, 564, 1963, 9209, 1948, 292, 553, 1176, 25440, 4415, 5141, 599, 19743, 14886, 267, 596, 786, 1451, 875, 547, 4019, 1114, 1826, 540, 6272, 883, 29641, 543, 29759, 269, 1411, 666, 4019, 713, 1826, 540, 29759, 543, 29641, 26002, 585, 7305, 5463, 2610, 267, 9549, 5253, 5463, 2610, 543, 3427, 5741, 269, 901, 1826, 540, 7044, 786, 2087, 707, 27065, 543, 11310, 269, 901, 568, 519, 3203, 540, 17164, 762, 543, 29759, 2961, 1324, 269, 1280, 10036, 1148, 1374, 269, 7490, 3643, 11197, 1500, 689, 22110, 2433, 4179, 2517, 344, 719, 340, 269, 2041, 270, 4353, 342, 278, 322, 326, 325, 297, 327, 20067, 4414, 14986, 2961, 1324, 2433, 4179, 2517, 344, 719, 340, 269, 2041, 10768, 4135, 294, 332, 23682, 6434, 7246, 2961, 8527, 8768, 2433, 4179, 2517, 344, 719, 340, 269, 2041, 24474, 7876, 297, 327, 10436, 21203, 752, 7490, 4427, 18285, 713, 19305, 547, 13773, 769, 25291, 609, 2974, 269, 4534, 8729, 1411, 1924, 13518, 1280, 2659, 8081, 269, 4534, 1403, 1022, 14511, 13875, 547, 1496, 16942, 6870, 2639, 21366, 281, 476, 15433, 9262, 275, 1323, 25975, 781, 7435, 1740, 454, 14399, 616, 938, 1769, 256, 8752, 543, 513, 3787, 540, 13542, 269, 2311, 1101, 267, 6379, 269, 594, 7058, 267, 1004, 1589, 267, 621, 779, 519, 942, 540, 7772, 269, 4270, 267, 1631, 595, 5964, 6487, 267, 1018, 621, 779, 585, 1483, 269, 9282, 972, 616, 930, 5418, 9778, 585, 2021, 2523, 952, 1352, 814, 1134, 15515, 6409, 539, 9393, 476, 876, 281, 4962, 3689, 10432, 476, 6349, 281, 5379, 5822, 10432, 476, 4962, 281, 5881, 12059, 10432, 476, 6187, 281, 736, 19549, 10432, 476, 5881, 281, 5379, 25004, 10432, 476, 5400, 281, 4649, 12844, 639, 476, 6021, 281, 3451, 1323, 12830, 17217, 8342, 5500, 27977, 585, 1453, 8342, 5500, 12292, 14295, 9398, 27977, 585, 1453, 8342, 5500, 27977, 21250, 656, 9462, 496, 500, 6930, 496, 500, 303, 6369, 312, 299, 8780, 6930, 496, 500, 6930, 496, 500, 10323, 3008, 2177, 476, 272, 4179, 2517, 4226, 269, 569, 270, 273, 302, 277, 299, 336, 313, 290, 8535, 676, 20615, 2438, 14675, 281, 4179, 2517, 4178, 269, 788, 573, 12515, 895, 2593, 13045, 21366, 281, 476, 4391, 278, 279, 1839, 1626, 2997, 665, 5964, 21676, 921, 594, 15434, 5414, 22383, 454, 1607, 28094, 2882, 930, 540, 519, 782, 6066, 1655, 5929, 645, 13903, 645, 22324, 14295, 9398, 689, 519, 13642, 7232, 571, 269, 2353, 14501, 723, 1044, 1121, 770, 1229, 538, 18074, 476, 10482, 271, 267, 519, 2053, 543, 3877, 616, 7396, 2630, 269, 476, 876, 281, 1015, 634, 654, 871, 344, 654, 629, 4226, 645, 13903, 645, 22324, 630, 3707, 273, 264, 630, 7230, 770, 1229, 18074, 476, 10482, 271, 335, 264, 476, 278, 281, 3953, 8865, 540, 519, 31932, 670, 732, 630, 289, 13903, 645, 22324, 264, 630, 3707, 273, 264, 630, 7230, 770, 1229, 264, 630, 8461, 476, 10482, 271, 335, 264, 476, 1428, 281, 4510, 634, 654, 629, 4226, 5808, 595, 877, 547, 2672, 3899, 630, 289, 13903, 645, 22324, 264, 630, 3707, 273, 264, 630, 7230, 770, 1229, 264, 630, 8461, 476, 10482, 271, 335, 264, 476, 2537, 281, 7906, 12096, 532, 670, 732, 630, 289, 13903, 645, 22324, 264, 630, 3707, 274, 264, 630, 7230, 770, 1229, 264, 630, 8461, 476, 10482, 271, 335, 264, 476, 3953, 281, 1240, 654, 871, 5942, 654, 629, 4226, 630, 289, 13903, 645, 22324, 264, 630, 3707, 274, 264, 630, 7230, 770, 1229, 264, 630, 8461, 476, 10482, 271, 335, 264, 476, 4375, 281, 876, 589, 12397, 344, 19270, 15300, 630, 289, 13903, 645, 22324, 267, 4432, 1067, 674, 3291, 1299, 623, 1251, 344, 28522, 264, 630, 3707, 274, 264, 630, 7230, 770, 1229, 264, 630, 8461, 476, 10482, 271, 335, 264, 476, 5379, 281, 4649, 18610, 670, 732, 630, 289, 13903, 645, 22324, 264, 630, 3707, 273, 264, 630, 7230, 770, 1229, 264, 630, 8461, 476, 10482, 271, 335, 264, 476, 7918, 281, 1839, 7102, 645, 4637, 4653, 630, 289, 13903, 645, 22324, 267, 623, 1251, 344, 28522, 267, 4432, 1067, 674, 3291, 264, 630, 3707, 273, 264, 630, 7230, 770, 1229, 264, 630, 8461, 476, 10482, 271, 335, 264, 476, 279, 628, 10048, 291, 13748, 2593, 543, 782, 1543, 9736, 476, 1001, 276, 1290, 9037, 300, 311, 20941, 269, 2353, 2924, 11603, 269, 1133, 17769, 946, 568, 19275, 269, 634, 3138, 2292, 26107, 630, 21720, 569, 19451, 607, 10753, 2292, 1677, 976, 264, 543, 8585, 4471, 9253, 3672, 3126, 2934, 3197, 971, 607, 12961, 536, 22324, 267, 546, 3530, 344, 21868, 1299, 20230, 344, 6477, 269, 634, 3138, 2292, 26107, 27977, 267, 9413, 543, 1007, 3138, 2292, 26107, 1397, 723, 1044 ]

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

[ 7268, 2765, 346, 272, 2410, 335, 266, 272, 4153, 2431, 264, 9681, 3602, 1269, 335, 259, 568, 519, 25586, 6305, 630, 328, 4318, 269, 1269, 335, 317, 330, 259, 568, 519, 25586, 781, 16748, 264, 543, 1269, 296, 3287, 7751, 296, 3287, 264, 815, 1422, 2765, 3189, 306, 7950, 3287, 20972, 343, 4151, 2765, 3189, 18406, 3287, 20972, 343, 6525, 529, 519, 7039, 3599, 4994, 540, 1535, 269, 476, 273, 6809, 1881, 769, 519, 12854, 12031, 11331, 834, 2704, 326, 3596, 916, 538, 519, 5530, 540, 11638, 704, 2739, 543, 744, 9536, 17828, 10606, 257, 630, 30104, 15062, 539, 1934, 264, 543, 6192, 538, 476, 1220, 274, 267, 30370, 29813, 2993, 28756, 3293, 602, 519, 20800, 737, 593, 519, 25586, 6305, 533, 533, 585, 606, 9642, 3501, 1297, 715, 815, 630, 335, 317, 330, 7565, 332, 317, 273, 264, 533, 317, 330, 7565, 332, 317, 273, 264, 568, 835, 630, 328, 4318, 269, 649, 666, 6749, 737, 1040, 330, 1040, 32114, 29813, 2993, 781, 28756, 675, 568, 3020, 267, 1281, 4896, 917, 952, 972, 2291, 630, 1415, 264, 834, 324, 8997, 257, 2164, 630, 335, 30972, 1250, 946, 540, 519, 2165, 267, 594, 1175, 1223, 711, 1589, 540, 513, 1732, 2262, 264, 538, 519, 3332, 267, 3226, 609, 2463, 547, 1894, 1063, 519, 25586, 6305, 533, 267, 519, 20800, 737, 543, 519, 1297, 1422, 306, 5720, 3189, 293, 2350, 346, 301, 2410, 335, 317, 330, 3686, 286, 1422, 6912, 3189, 2765, 346, 301, 2410, 335, 317, 330, 3686, 286, 594, 723, 267, 865, 2484, 267, 1152, 1044, 2111, 547, 1205, 3180, 540, 14529, 23383, 853, 7568, 328, 781, 2376, 11331, 834, 302, 9536, 17828, 10606, 281, 589, 6555, 529, 528, 13565, 547, 519, 25586, 12664, 338, 16748, 2668, 769, 1880, 267, 4063, 602, 29813, 2993, 781, 28756, 675, 10522, 519, 1739, 1894, 281, 594, 9638, 317, 330, 14638, 296, 9638, 317, 330, 264, 815, 594, 9638, 264, 815, 1422, 293, 2350, 22669, 266, 272, 2410, 335, 348, 594, 9852, 317, 273, 264, 535, 2350, 22669, 266, 272, 2410, 335, 348, 296, 9852, 317, 273, 264, 815, 1422, 293, 2350, 346, 273, 2410, 296, 9638, 14587, 535, 2350, 346, 273, 2410, 296, 9638, 14587, 815, 1422, 293, 2350, 346, 273, 335, 2410, 335, 535, 2350, 346, 273, 335, 2410, 335, 1341, 476, 272, 348, 272, 6525, 6518, 267, 538, 2490, 267, 3947, 519, 630, 13700, 20190, 264, 15821, 3961, 281, 1422, 293, 2350, 346, 272, 2410, 335, 6525, 315, 2765, 346, 272, 2410, 335, 348, 815, 1422, 293, 2350, 346, 272, 2410, 335, 266, 272, 348, 535, 2350, 346, 272, 2410, 335, 266, 272, 348, 1341, 22570, 293, 2350, 346, 272, 2410, 335, 16585, 7268, 293, 2350, 346, 272, 2410, 335, 266, 272, 348, 9385, 2765, 346, 272, 2410, 335, 4153, 3847, 7268, 2765, 346, 272, 2410, 335, 266, 272, 4153, 2431, 14638, 3602, 533, 259, 335, 259, 529, 519, 25586, 6305, 630, 328, 4318, 269, 533, 317, 330, 259, 335, 317, 330, 259, 529, 519, 25586, 781, 16748, 264, 543, 594, 3287, 7751, 296, 3287, 264, 815, 1422, 293, 2350, 346, 306, 7950, 3287, 20972, 343, 348, 535, 2350, 3189, 306, 7950, 3287, 20972, 343, 4151, 529, 519, 7039, 3599, 4994, 540, 1535, 269, 259, 343, 15478, 780, 272, 0, 258, 3004, 19649, 1756, 4341, 692, 263, 16446, 20526, 689, 3004, 19649, 18042, 4341, 994, 29309, 532, 3239, 454, 307, 7275, 345, 18042, 318, 22364, 318, 650, 755, 1674, 26666, 454, 763, 1599, 535, 3287, 264, 630, 514, 4544, 264, 568, 4114, 13846, 676, 513, 5276, 1599, 630, 514, 2699, 6393, 1103, 6128, 267, 519, 25671, 1756, 4341, 630, 1492, 3703, 2165, 264, 610, 25671, 18042, 4341, 630, 1492, 1977, 2165, 264, 568, 513, 1259, 547, 5111, 5173, 519, 17386, 7533, 692, 314, 924, 343, 316, 1422, 842, 3709, 320, 8703, 321, 348, 535, 3287, 264, 11459, 16804, 924, 343, 6540, 763, 25671, 1756, 4341, 1568, 676, 4114, 26305, 519, 3148, 896, 519, 3113, 540, 519, 1599, 1496, 924, 343, 316, 325, 3287, 25011, 924, 343, 316, 676, 513, 25671, 1756, 543, 12719, 922, 1858, 269, 898, 5205, 602, 692, 314, 924, 343, 316, 1422, 842, 3709, 320, 8703, 321, 348, 535, 3287, 264, 15848, 1422, 13627, 630, 321, 8584, 9385, 2765, 346, 325, 5416, 264, 1341, 535, 6357, 20972, 273, 348, 16804, 924, 343, 6540, 2414, 5173, 713, 7533, 811, 8308, 267, 835, 1101, 10943, 1080, 519, 8884, 540, 5610, 1496, 924, 343, 6012, 320, 267, 536, 6012, 924, 343, 316, 883, 562, 4130, 1016, 5793, 10094, 267, 543, 1287, 10039, 519, 25671, 1756, 4341, 593, 1142, 540, 873, 269, 2290, 3489, 338, 519, 12432, 25671, 1756, 4341, 1384, 314, 924, 343, 316, 315, 842, 19963, 317, 321, 535, 3287, 9385, 267, 11459, 1422, 13627, 1422, 2765, 15830, 8584, 2410, 333, 348, 1422, 3847, 263, 2715, 325, 5416, 264, 1341, 535, 6357, 264, 1422, 1478, 476, 273, 348, 1341, 1422, 8999, 3709, 330, 284, 272, 8703, 333, 268, 272, 348, 535, 1422, 3847, 263, 513, 266, 330, 1422, 2765, 15830, 8584, 2410, 333, 348, 1422, 2431, 264, 1422, 2431, 1040, 314, 924, 343, 6540, 1607, 666, 4244, 569, 581, 2854, 607, 1384, 314, 924, 343, 316, 315, 842, 19963, 317, 321, 535, 3287, 9385, 267, 11459, 1422, 13627, 1422, 2765, 15830, 8584, 2410, 273, 333, 348, 1422, 3847, 6600, 3287, 318, 271, 264, 1341, 535, 3287, 5332, 264, 1341, 476, 273, 325, 3287, 318, 272, 264, 1341, 476, 273, 325, 3287, 318, 273, 264, 10954, 25854, 266, 273, 325, 3287, 3709, 333, 268, 272, 16585, 1422, 2431, 1040, 314, 924, 343, 6540, 763, 25671, 1756, 4341, 568, 835, 540, 513, 1920, 540, 12596, 585, 10230, 5610, 1572, 13053, 4211, 4925, 12596, 269, 3244, 12121, 781, 4341, 568, 1776, 267, 1419, 811, 4977, 267, 4759, 540, 519, 1482, 1920, 269, 3244, 12121, 781, 4341, 543, 824, 899, 2409, 666, 581, 4397, 547, 2087, 593, 519, 25671, 1756, 4341, 585, 3252, 799, 616, 7466, 11179, 1114, 4192, 282, 2705, 585, 13193, 326, 615, 3252, 519, 25671, 1756, 4341, 568, 2693, 547, 6961, 30074, 269, 5047, 267, 519, 25671, 1756, 4341, 11148, 547, 1831, 5393, 4977, 950, 13350, 3252, 616, 7471, 936, 741, 5712, 267, 513, 1249, 1655, 6956, 538, 4276, 609, 519, 25586, 5336, 659, 331, 4768, 514, 14805, 566, 4542, 780, 1012, 22108, 692, 1892, 3203, 543, 27639, 454, 1892, 18831, 540, 519, 2622, 1109, 263, 10674, 2517, 4178, 28482, 611, 655, 1157, 1749, 2593, 270, 1890, 743, 31638, 27651, 21703, 14727, 870, 1845, 994, 1892, 6611, 543, 18395, 0, 9336, 1843, 538, 938, 1158, 814, 2339, 538, 621, 543, 3217, 2230, 269, 27014, 616, 2901, 17571, 267, 15559, 267, 610, 9362, 269, 1284, 1289, 519, 2078, 1063, 606, 3615, 2527, 543, 4320, 267, 5860, 269, 25670, 568, 519, 2179, 540, 513, 2527, 5258, 676, 519, 2179, 4320, 269, 769, 824, 1913, 267, 875, 9395, 519, 2339, 568, 16081, 4364, 883, 513, 1978, 2230, 269, 898, 3217, 476, 273, 4773, 540, 3937, 547, 2268, 519, 5860, 540, 606, 1843, 269, 1403, 519, 1843, 568, 513, 2834, 1843, 267, 2495, 621, 814, 476, 274, 6366, 2786, 5011, 267, 596, 1131, 946, 513, 17784, 11237, 3666, 630, 29173, 264, 543, 513, 14610, 269, 1403, 519, 1843, 568, 606, 12150, 1843, 267, 2495, 621, 814, 795, 698, 3022, 610, 5186, 12097, 5011, 267, 596, 1131, 946, 513, 17784, 11237, 3666, 630, 29173, 264, 543, 513, 21783, 12718, 780, 763, 4542, 585, 5860, 568, 2854, 667, 284, 332, 23218, 269, 634, 4559, 585, 5860, 616, 10101, 8276, 650, 559, 3438, 630, 326, 8276, 299, 264, 610, 10101, 270, 1417, 12281, 7750, 539, 630, 326, 30763, 274, 6393, 23804, 519, 5860, 540, 606, 1843, 5673, 593, 1018, 519, 7516, 616, 269, 1403, 519, 1843, 814, 782, 6366, 267, 2786, 5011, 267, 621, 568, 513, 2834, 1843, 630, 22366, 547, 9273, 1040, 1323, 1383, 540, 713, 568, 513, 11308, 3625, 269, 769, 1931, 547, 1265, 519, 5860, 540, 513, 11308, 3625, 267, 649, 1131, 946, 513, 17784, 11237, 3666, 610, 4336, 543, 513, 14610, 269, 3689, 267, 596, 1131, 9260, 519, 3625, 779, 2527, 676, 1210, 513, 17784, 11237, 3666, 269, 634, 2527, 568, 476, 17168, 10101, 269, 8921, 649, 2268, 519, 5011, 1210, 513, 11973, 14610, 269, 634, 4542, 585, 4466, 4320, 540, 513, 4396, 1843, 568, 3259, 1535, 8700, 1535, 4463, 610, 561, 1535, 530, 1535, 554, 563, 21920, 815, 476, 1556, 4699, 454, 310, 5954, 815, 476, 280, 9492, 454, 3891, 697, 815, 476, 275, 9492, 454, 1556, 9492, 1535, 476, 280, 9492, 1535, 476, 275, 9492, 815, 476, 31256, 9492, 274, 780, 3086, 519, 5860, 666, 581, 7229, 1210, 891, 7403, 563, 291, 815, 476, 17168, 326, 270, 31256, 9492, 274, 22217, 1881, 667, 815, 1547, 10037, 326, 30763, 274, 1403, 519, 1843, 814, 795, 698, 3022, 8728, 610, 568, 513, 3337, 824, 982, 513, 13306, 267, 1287, 621, 568, 606, 12150, 1843, 269, 1323, 1383, 540, 713, 568, 513, 4224, 269, 769, 1931, 547, 1265, 519, 5860, 540, 513, 4224, 267, 649, 1131, 946, 513, 17784, 11237, 3666, 610, 4336, 543, 513, 21783, 12718, 269, 3689, 267, 649, 1131, 9260, 519, 4224, 779, 2527, 676, 1210, 513, 17784, 11237, 3666, 269, 634, 2527, 568, 476, 2412, 10101, 269, 8921, 649, 1590, 946, 519, 21783, 12718, 547, 1265, 519, 4320, 676, 8420, 5217, 519, 1216, 269, 634, 1101, 12718, 2982, 519, 1216, 1377, 1354, 519, 4224, 729, 12628, 538, 267, 799, 568, 476, 2004, 20853, 269, 2991, 519, 4224, 729, 12628, 538, 267, 519, 1377, 9782, 547, 476, 6858, 332, 299, 269, 1284, 1265, 519, 3017, 676, 18946, 519, 3312, 1216, 1377, 689, 519, 1007, 1216, 1377, 563, 6858, 332, 299, 910, 476, 2004, 332, 299, 815, 476, 1704, 332, 299, 780, 3086, 519, 5860, 666, 581, 7229, 1210, 891, 7403, 563, 291, 815, 476, 273, 269, 275, 326, 8276, 299, 454, 332, 815, 476, 2412, 326, 454, 341, 815, 476, 1704, 332, 299, 0, 1012, 20145, 476, 279, 628, 9990, 692, 259, 343, 6025, 6661, 271, 269, 3374, 6523, 263, 273, 25490, 346, 276, 15396, 272, 7751, 454, 259, 330, 263, 271, 269, 1839, 6661, 1839, 259, 1269, 330, 284, 1911, 259, 1269, 276, 337, 317, 273, 266, 1911, 284, 271, 259, 1269, 337, 284, 273, 25490, 346, 276, 4151, 1269, 343, 6025, 6661, 322, 3709, 272, 348, 6523, 263, 273, 25490, 346, 276, 348, 339, 11924, 322, 3709, 273, 348, 7562, 263, 273, 25490, 346, 276, 348, 7751, 1269, 343, 263, 271, 6661, 271, 269, 3374, 259, 1269, 322, 3709, 272, 13157, 271, 269, 3374, 259, 1269, 343, 21948, 339, 6661, 268, 273, 25490, 346, 276, 12917, 271, 269, 3374, 264, 7562, 263, 273, 25490, 346, 276, 348, 339, 11924, 273, 25490, 346, 276, 348, 322, 3709, 273, 348, 6523, 263, 273, 25490, 346, 276, 348, 339, 7751, 1269, 343, 21948, 271, 6661, 271, 259, 1269, 322, 3709, 273, 13157, 271, 259, 1269, 343, 6025, 6661, 271, 269, 3374, 6523, 263, 273, 25490, 346, 276, 15396, 272, 7751 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31861, 2115, 8404, 547, 3635, 609, 11835, 601, 538, 519, 6640, 267, 1247, 11835, 601, 568, 6923, 17615, 269, 0, 27609, 532, 19997, 281, 589, 4807, 568, 7555, 538, 519, 10051, 269, 2701, 568, 6158, 883, 519, 8254, 269, 2701, 6585, 1896, 26633, 540, 5820, 269, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 1434, 2025, 1922, 5831, 539, 5556, 565, 3150, 21312, 2780, 834, 536, 834, 2025, 1922, 5831, 539, 5556, 565, 3150, 1434, 21312, 2780, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 2657, 281, 1496, 3650, 518, 316, 1215, 547, 917, 952, 596, 723, 838, 1180, 2643, 2670, 1496, 27583, 316, 6733, 585, 8405, 543, 1394, 1928, 269, 1496, 21163, 316, 1975, 1180, 2643, 2670, 1419, 814, 1100, 2589, 269, 1717, 267, 952, 621, 1281, 3132, 2589, 267, 1928, 2059, 519, 8405, 543, 12636, 568, 835, 540, 519, 1034, 1455, 269, 3097, 288, 269, 1496, 11357, 25074, 316, 5901, 707, 8405, 543, 1394, 2786, 282, 952, 707, 8405, 568, 15319, 621, 1797, 602, 596, 723, 838, 1180, 2643, 2670, 269, 1403, 621, 568, 4330, 607, 1373, 15319, 543, 22224, 267, 1287, 596, 949, 723, 838, 1180, 2643, 2670, 563, 289, 269, 634, 1928, 949, 1152, 2408, 593, 519, 17525, 610, 8930, 3481, 2127, 593, 519, 2062, 15767, 610, 9944, 519, 23969, 269, 1496, 11357, 25074, 316, 3026, 1188, 543, 1394, 1928, 2882, 9636, 950, 596, 1118, 513, 31329, 543, 707, 11263, 13029, 563, 290, 269, 634, 1928, 1058, 581, 7646, 267, 2356, 711, 30898, 792, 762, 269, 1496, 11357, 25074, 316, 1677, 3713, 952, 596, 723, 838, 1180, 2643, 2670, 267, 855, 798, 711, 581, 19035, 540, 621, 267, 1413, 856, 585, 4745, 2152, 610, 824, 9636, 563, 291, 269, 901, 1928, 568, 519, 1267, 540, 519, 11983, 25923, 13204, 7992, 543, 2870, 11508, 1063, 519, 9451, 13887, 7633, 543, 5924, 2604, 593, 519, 13285, 269, 634, 1928, 538, 707, 1394, 610, 8405, 1928, 949, 849, 2234, 5573, 547, 707, 17873, 563, 12585, 281, 667, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 17186, 532, 10425, 281, 589, 812, 568, 2938, 6340, 547, 519, 8254, 3297, 513, 3349, 609, 1585, 5820, 543, 14296, 9788, 856, 269, 634, 812, 454, 288, 269, 30012, 519, 5820, 883, 513, 4837, 1927, 543, 23238, 513, 18654, 883, 519, 4837, 563, 289, 269, 1287, 25361, 513, 12826, 609, 519, 5820, 543, 5956, 1818, 513, 26889, 563, 290, 269, 30012, 5820, 1472, 883, 513, 1804, 12826, 543, 1178, 1424, 519, 12826, 609, 1010, 4527, 563, 291, 269, 4025, 522, 1114, 15559, 883, 513, 12826, 543, 30012, 873, 1927, 563, 12585, 281, 589, 0, 9223, 281, 634, 4279, 8092, 27538, 540, 476, 6642, 280, 3576, 1747, 538, 799, 1533, 540, 519, 7330, 888, 12585, 281, 476, 5379, 628, 1533, 0, 9223, 281, 6904, 10381, 568, 1634, 607, 519, 3751, 540, 2296, 29380, 525, 563, 12585, 281, 588, 559, 2023, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 634, 10824, 2877, 547, 581, 6740, 538, 741, 1697, 1747, 267, 799, 729, 1141, 888, 288, 269, 476, 4401, 532, 4604, 454, 289, 269, 476, 13962, 454, 290, 269, 476, 3349, 454, 291, 269, 476, 7181, 454, 292, 269, 476, 15808, 454, 12585, 281, 292, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 5253, 543, 9373, 8877, 281, 1496, 3650, 518, 316, 1215, 547, 1118, 513, 5672, 16336, 328, 543, 10381, 16741, 1496, 27583, 316, 4425, 559, 519, 1714, 28647, 269, 1496, 21163, 316, 19130, 1216, 538, 513, 1494, 543, 1747, 621, 593, 513, 23041, 1283, 547, 14974, 269, 4495, 621, 814, 23017, 267, 13248, 519, 1714, 28647, 883, 519, 14495, 1216, 543, 723, 621, 14974, 2394, 2571, 269, 3097, 288, 269, 1496, 11357, 25074, 316, 1411, 798, 711, 723, 547, 14974, 519, 1714, 28647, 547, 1118, 519, 16741, 282, 2705, 267, 1025, 534, 4221, 873, 6770, 856, 519, 26185, 538, 519, 17339, 543, 10607, 519, 4005, 532, 269, 1403, 596, 3434, 519, 1714, 28647, 676, 2933, 267, 596, 786, 991, 547, 2759, 873, 538, 3368, 547, 4688, 4055, 563, 289, 269, 3973, 13248, 538, 519, 6070, 543, 3434, 519, 23969, 2394, 621, 7140, 883, 4396, 1533, 269, 2991, 827, 476, 1428, 3764, 267, 519, 23969, 1058, 2408, 2571, 267, 899, 513, 3443, 322, 820, 563, 290, 269, 4107, 2250, 553, 1491, 827, 476, 1015, 268, 1556, 3764, 547, 581, 2571, 855, 2638, 593, 519, 10189, 8846, 547, 581, 2386, 267, 789, 2356, 2285, 519, 3169, 942, 972, 269, 4495, 519, 1714, 28647, 616, 4628, 23017, 1747, 513, 897, 6387, 538, 519, 16173, 543, 8963, 782, 519, 18437, 563, 291, 269, 1496, 11357, 25074, 316, 6744, 519, 23969, 1419, 547, 1118, 2386, 621, 568, 6109, 269, 623, 3183, 513, 23643, 538, 519, 23969, 1522, 1711, 561, 7927, 563, 12585, 281, 595, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 5835, 19384, 6928, 834, 536, 834, 19384, 5835, 6928, 834, 15017, 288, 281, 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 ]

[ 754, 22751, 543, 590, 1117, 3429, 454, 20112, 754, 22751, 798, 8774, 267, 855, 789, 1810, 1406, 8774, 607, 1454, 607, 824, 5243, 602, 723, 9663, 2864, 982, 4552, 269, 7108, 754, 22751, 723, 4552, 2864, 982, 2757, 2915, 9663, 267, 543, 2687, 547, 513, 2915, 19081, 518, 945, 814, 811, 982, 476, 274, 1296, 540, 25462, 1995, 789, 616, 711, 5595, 18396, 730, 267, 865, 789, 1810, 1406, 6336, 741, 5162, 10359, 950, 519, 4365, 4991, 15911, 563, 4913, 267, 952, 707, 7108, 754, 22259, 814, 5347, 4552, 789, 786, 8774, 811, 538, 519, 4832, 982, 1022, 824, 4005, 1317, 741, 4552, 568, 1360, 2147, 547, 513, 13642, 4825, 686, 1197, 779, 267, 543, 13642, 4825, 4471, 951, 8774, 1419, 563, 7312, 7108, 754, 22259, 786, 8774, 513, 2370, 811, 982, 3339, 950, 5614, 7140, 547, 4832, 543, 519, 4365, 4991, 15911, 267, 855, 596, 2693, 4465, 1406, 5469, 519, 3017, 1317, 621, 786, 581, 13581, 269, 898, 4523, 1317, 540, 519, 2242, 538, 519, 4365, 538, 2837, 267, 543, 519, 4552, 602, 789, 6336, 786, 4166, 1332, 1394, 563, 20112, 754, 22751, 609, 1225, 569, 9663, 10774, 1515, 8774, 621, 538, 513, 2147, 1259, 547, 3425, 281, 7444, 936, 942, 269, 1411, 949, 1265, 707, 4552, 7258, 707, 7108, 754, 22259, 779, 4552, 593, 707, 4172, 577, 267, 4352, 519, 4552, 568, 267, 543, 786, 1413, 267, 1360, 1114, 563, 20112, 754, 22751, 616, 1419, 3834, 334, 718, 1120, 21329, 267, 855, 789, 616, 711, 1100, 1606, 1117, 5243, 269, 1879, 513, 2915, 568, 3834, 334, 718, 1120, 21329, 621, 1797, 602, 789, 616, 811, 15095, 609, 1004, 945, 723, 11959, 547, 546, 6387, 267, 7452, 267, 543, 9663, 1317, 789, 1810, 1406, 723, 513, 2603, 540, 546, 6387, 543, 789, 1810, 1406, 8774, 513, 2603, 540, 9663, 269, 630, 13126, 994, 7212, 7108, 754, 22751, 1810, 1406, 8774, 1454, 543, 786, 8774, 5594, 811, 982, 8912, 950, 519, 4365, 2242, 267, 972, 616, 1919, 538, 513, 7108, 754, 22259, 779, 1272, 602, 666, 2014, 873, 547, 8774, 811, 1419, 982, 3339, 563, 27246, 540, 21418, 7108, 754, 22259, 590, 1117, 3429, 454, 763, 1739, 2188, 666, 1291, 547, 707, 7108, 754, 22259, 17766, 811, 1419, 982, 789, 7363, 798, 563, 29590, 666, 2014, 707, 7108, 754, 22259, 547, 6336, 811, 4552, 982, 3339, 269, 2334, 568, 1175, 875, 741, 1560, 23465, 267, 543, 621, 786, 2693, 3247, 4166, 269, 8347, 547, 4894, 1018, 568, 4929, 707, 7108, 754, 22259, 11991, 2566, 607, 4166, 607, 2009, 563, 5629, 741, 1062, 21560, 1586, 267, 789, 786, 3247, 17766, 607, 1454, 269, 1403, 513, 1007, 4620, 568, 4929, 707, 7108, 754, 22259, 547, 581, 14129, 267, 7227, 585, 513, 1247, 2394, 789, 1205, 1031, 547, 519, 1007, 3662, 267, 543, 789, 786, 3247, 17766, 607, 1454, 563, 268, 14627, 550, 24872, 532, 454, 5472, 25489, 666, 2014, 707, 7108, 754, 22259, 547, 8774, 811, 982, 8912, 1317, 11959, 3006, 1860, 519, 2960, 267, 543, 952, 519, 2960, 568, 11214, 19847, 707, 7108, 754, 22259, 786, 6336, 811, 4552, 982, 3339, 269, 10576, 519, 6784, 523, 543, 4894, 621, 689, 707, 2915, 779, 1604, 269, 2991, 741, 2960, 973, 13569, 267, 789, 786, 3247, 17766, 865, 1454, 563, 7312, 7108, 754, 22259, 779, 6484, 666, 3310, 875, 1454, 621, 24259, 269, 1403, 789, 5749, 1406, 3478, 2614, 5567, 267, 789, 786, 8774, 811, 1317, 741, 1560, 3085, 1406, 1616, 547, 2322, 1648, 883, 5329, 519, 4552, 9800, 543, 2635, 267, 865, 621, 4991, 7759, 540, 621, 563, 2252, 707, 7108, 754, 22259, 568, 9561, 7372, 5666, 540, 741, 4552, 267, 1491, 873, 547, 519, 17022, 543, 1294, 952, 789, 616, 3478, 2614, 5567, 269, 1403, 789, 5749, 1406, 267, 4657, 741, 2732, 865, 602, 789, 616, 786, 3533, 2061, 2104, 4552, 2530, 563, 2252, 707, 7108, 754, 22259, 568, 1373, 10627, 1117, 1932, 4749, 789, 786, 8774, 811, 982, 789, 1058, 269, 1403, 513, 7108, 754, 22259, 568, 10627, 1117, 1932, 1419, 741, 2960, 786, 3819, 856, 543, 789, 666, 1205, 21399, 269, 1879, 741, 2960, 1743, 625, 856, 267, 741, 4552, 3587, 811, 17866, 543, 789, 6336, 811, 540, 621, 982, 3339, 269, 8307, 536, 7752, 707, 7108, 754, 22259, 827, 2899, 513, 3018, 563, 763, 1072, 540, 707, 7108, 754, 22259, 786, 3310, 875, 1454, 4552, 789, 8774, 269, 1403, 789, 1020, 606, 4576, 610, 1205, 7210, 267, 741, 1560, 786, 2322, 3388, 621, 666, 883, 1818, 707, 2915, 2635, 1586, 543, 519, 4552, 786, 581, 20495, 563, 2026, 4166, 607, 707, 7108, 754, 22259, 779, 1072, 10607, 267, 789, 786, 8774, 1447, 269, 2368, 6527, 666, 849, 2014, 4430, 17766, 563, 294, 3336, 532, 2659, 7108, 754, 22259, 454, 2252, 596, 1616, 547, 2057, 4466, 707, 7108, 754, 22259, 779, 4552, 538, 707, 1753, 950, 519, 4365, 3587, 15911, 2676, 20112, 754, 22751, 991, 547, 581, 19081, 539, 1169, 476, 277, 268, 279, 4374, 269, 1411, 949, 1616, 547, 2285, 707, 7108, 754, 22259, 513, 10156, 688, 1009, 1803, 982, 3339, 538, 519, 4832, 865, 789, 666, 1832, 3579, 950, 519, 5210, 4473, 607, 741, 4552, 786, 1832, 3002, 538, 267, 2523, 952, 621, 568, 2731, 1225, 569, 269, 901, 3884, 1406, 2556, 267, 855, 596, 949, 1616, 547, 4470, 593, 1141, 596, 2661, 543, 875, 3636, 621, 4991, 538, 519, 4832, 4005, 563, 2252, 707, 7108, 754, 22259, 568, 17766, 23494, 543, 596, 723, 711, 1044, 2111, 547, 2697, 519, 2014, 540, 621, 267, 1491, 707, 2915, 547, 519, 16943, 269, 1358, 786, 2693, 581, 2111, 547, 2697, 1018, 568, 4929, 707, 7108, 754, 22259, 547, 8774, 865, 1454, 543, 2995, 596, 875, 547, 2569, 519, 2179, 540, 17766, 602, 568, 9648, 563, 14454, 267, 7108, 754, 22751, 1810, 1406, 8774, 23494, 811, 950, 519, 4365, 2242, 543, 3587, 15911, 267, 855, 789, 786, 6336, 5594, 811, 4552, 1317, 741, 1560, 568, 8600, 585, 519, 15911, 4365, 267, 543, 621, 3085, 1406, 1616, 707, 2915, 547, 936, 17742, 269, 15439, 0, 8923, 2328, 2110, 1557, 585, 661, 21815, 2243, 827, 476, 4335, 2262, 1293, 269, 11289, 596, 2336, 268, 2422, 513, 3044, 1557, 3898, 585, 6114, 547, 782, 2055, 630, 328, 4318, 1421, 606, 4367, 267, 1647, 9433, 543, 3932, 1916, 268, 13786, 525, 1590, 581, 29921, 5595, 17898, 3166, 267, 1210, 513, 3044, 13944, 630, 328, 4318, 1421, 8648, 1715, 4936, 264, 543, 476, 1321, 1448, 1826, 2450, 15030, 867, 1293, 568, 10691, 835, 540, 519, 7355, 602, 568, 1031, 538, 26471, 2798, 547, 1603, 10467, 269, 10925, 2854, 4267, 883, 707, 1378, 1913, 269, 1684, 711, 3274, 2759, 543, 13594, 707, 4267, 689, 519, 5769, 543, 798, 711, 5299, 707, 4267, 689, 519, 1837, 269, 2142, 2386, 547, 3277, 547, 519, 1576, 21038, 585, 811, 3877, 593, 17096, 543, 1697, 11239, 6163, 563, 268, 4208, 1281, 513, 2146, 4431, 9797, 950, 606, 540, 524, 518, 568, 19636, 286, 630, 274, 994, 268, 4208, 798, 930, 1004, 3494, 602, 7496, 1063, 7128, 540, 524, 619, 543, 3979, 4892, 3100, 31837, 25236, 762, 286, 630, 273, 994, 268, 1548, 616, 519, 1883, 3334, 540, 519, 24686, 582, 2920, 602, 723, 6659, 6161, 609, 18371, 2950, 543, 1946, 286, 630, 274, 994, 268, 4208, 568, 621, 1271, 547, 2232, 5208, 2404, 609, 13842, 11486, 5362, 10963, 543, 547, 10646, 873, 689, 824, 10963, 286, 630, 272, 264 ]

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

[ 11203, 476, 271, 543, 9642, 18045, 11203, 476, 271, 912, 2018, 2132, 8771, 692, 825, 2132, 6936, 692, 2745, 9638, 531, 318, 11279, 2891, 15869, 8364, 8442, 2020, 3698, 7984, 299, 1518, 19304, 272, 267, 26319, 2187, 825, 1193, 272, 815, 1193, 272, 11468, 6352, 19304, 272, 9984, 263, 6352, 19304, 272, 9984, 26319, 22708, 825, 1193, 272, 284, 1598, 272, 18622, 2897, 2891, 834, 2437, 260, 736, 5602, 825, 2132, 1193, 272, 454, 672, 692, 2745, 263, 21589, 299, 1518, 2891, 16031, 3627, 8055, 825, 14307, 1724, 11723, 3698, 2638, 318, 11279, 16615, 19304, 272, 267, 1193, 273, 2187, 825, 1193, 272, 284, 1598, 272, 31573, 4590, 825, 1193, 273, 284, 1598, 273, 31573, 4590, 825, 952, 7003, 19304, 272, 264, 11203, 7003, 19304, 273, 2187, 1038, 2132, 8771, 454, 825, 3116, 912, 1038, 952, 4433, 9285, 19304, 272, 264, 2652, 15044, 19304, 273, 15892, 2018, 2132, 6936, 28329, 825, 2132, 8771, 28329, 2745, 263, 13765, 318, 11279, 16615, 2891, 15916, 14824, 961, 4141, 295, 339, 257, 4297, 0, 3698, 606, 8183, 318, 13765, 4433, 272, 29679, 273, 2187, 825, 521, 272, 284, 338, 272, 18622, 2897, 2891, 834, 2437, 20257, 12294, 4590, 825, 521, 273, 284, 338, 273, 18622, 2897, 2891, 834, 2437, 20257, 12294, 4590, 8931, 825, 2132, 15044, 4433, 272, 264, 2652, 15044, 4433, 273, 2020, 2745, 263, 534, 8183, 318, 13765, 3488, 305, 1047, 543, 1744, 710, 12887, 4537, 710, 543, 22547, 14609, 344, 10807, 2020, 258, 19686, 476, 273, 454, 3698, 606, 8183, 318, 13765, 4433, 272, 29679, 273, 2187, 825, 521, 272, 284, 338, 272, 18622, 2897, 2891, 834, 2437, 20257, 12294, 4590, 825, 521, 273, 284, 338, 273, 18622, 2897, 2891, 834, 2437, 20257, 12294, 10797, 825, 952, 12759, 4433, 272, 264, 11203, 7003, 4433, 273, 15892, 1038, 2132, 8771, 22562, 825, 1293, 28121, 8679, 825, 585, 4484, 538, 521, 272, 912, 1038, 952, 4484, 538, 1293, 912, 2018, 1293, 314, 12072, 316, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1293, 314, 12072, 316, 815, 476, 272, 28329, 825, 585, 4484, 538, 521, 273, 912, 1038, 952, 4484, 538, 1293, 912, 2018, 1293, 314, 12072, 316, 20699, 476, 272, 454, 1038, 3116, 912, 2018, 1293, 314, 12072, 316, 815, 476, 272, 692, 825, 585, 737, 538, 1293, 912, 1038, 952, 1293, 25208, 316, 11203, 476, 271, 912, 2018, 2132, 8771, 22562, 825, 2132, 6936, 692, 2745, 263, 534, 8183, 318, 13765, 2891, 11990, 5500, 21701, 14824, 310, 1779, 518, 6348, 329, 1506, 257, 4297, 8528, 5814, 4351, 454, 5814, 942, 454, 5814, 11885, 607, 5286, 454, 577, 1513, 815, 834, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 5723, 7374, 9128, 21203, 296, 297, 298, 299, 300, 301, 8008, 304, 305, 4306, 10013, 310, 311, 312, 313, 11277, 27174, 4281, 280, 271, 268, 23785, 256, 287, 258, 259, 260, 317, 261, 265, 4840, 26319, 25507, 9272, 2891, 1432, 1058, 581, 519, 3259, 540, 707, 10957, 286, 315, 333, 27363, 3698, 1780, 318, 2102, 16325, 2187, 825, 10957, 815, 11713, 825, 585, 1775, 538, 2039, 16325, 2187, 1038, 10957, 6910, 263, 12690, 26716, 4069, 263, 577, 1513, 4917, 825, 2132, 5286, 26509, 1664, 9638, 817, 5320, 994, 2745, 9638, 817, 318, 2102, 10857, 2654, 4297, 476, 7531, 3698, 18616, 677, 19906, 2187, 825, 23396, 815, 6936, 454, 825, 1247, 23396, 912, 1038, 23396, 815, 8771, 454, 1038, 585, 1775, 538, 2039, 12759, 19906, 9984, 272, 2187, 2018, 952, 2855, 5157, 316, 3436, 2855, 5157, 266, 272, 14158, 3546, 2855, 5157, 3910, 2855, 5157, 266, 272, 316, 815, 2855, 5157, 266, 272, 3910, 2855, 5157, 2639, 3546, 23396, 815, 6936, 454, 825, 2132, 2855, 454, 333, 25507, 9272, 2891, 11767, 519, 3259, 540, 519, 5044, 281, 27328, 6783, 284, 4289, 9852, 777, 17301, 267, 6358, 2891, 11767, 519, 5044, 547, 581, 15044, 281, 834, 1040, 29328, 14061, 20889, 3890, 4297, 11468, 333, 2639, 2745, 6357, 889, 7632, 677, 263, 6783, 4297, 8528, 3698, 24450, 31374, 19906, 2187, 825, 585, 1775, 538, 2039, 263, 272, 267, 6352, 19906, 4297, 1384, 1038, 1883, 815, 2855, 5157, 316, 8528, 1038, 795, 815, 1775, 910, 476, 272, 454, 1038, 1247, 795, 285, 284, 271, 543, 1883, 2999, 2855, 1496, 329, 14158, 2018, 2855, 14728, 266, 272, 316, 815, 2855, 14728, 2639, 2018, 795, 20699, 476, 272, 454, 1038, 2855, 14728, 266, 272, 316, 815, 1883, 454, 825, 2132, 2855, 3097, 333, 25507, 9272, 2891, 11767, 519, 3259, 540, 519, 5044, 281, 27328, 6783, 284, 4289, 9852, 777, 17301, 267, 6358, 2891, 11767, 519, 5044, 547, 581, 15044, 281, 834, 1040, 29328, 14061, 20889, 3890, 4297, 11468, 333, 2639, 2745, 263, 12133, 542, 31374, 263, 6783, 11723, 3698, 15652, 16325, 267, 869, 267, 14683, 2187, 825, 22141, 815, 1003, 27007, 869, 266, 14683, 264, 12262, 476, 273, 2639, 825, 1775, 815, 1970, 910, 476, 272, 454, 825, 795, 815, 1164, 1341, 476, 272, 692, 825, 1247, 6936, 912, 13872, 1038, 1775, 6834, 476, 272, 454, 1038, 1247, 1003, 5157, 316, 2999, 22141, 912, 2018, 1775, 6834, 476, 272, 28329, 1038, 795, 20699, 476, 272, 454, 1038, 1247, 1003, 14728, 316, 3436, 22141, 912, 2018, 795, 20699, 476, 272, 28329, 1038, 952, 1775, 285, 284, 795, 912, 2018, 2132, 795, 454, 1038, 1003, 5157, 3910, 1003, 14728, 316, 815, 1003, 14728, 3910, 1003, 5157, 6540, 3698, 2656, 5334, 677, 16325, 2187, 825, 1219, 2656, 5334, 677, 273, 263, 19477, 267, 869, 267, 14683, 2187, 1038, 952, 1970, 2999, 1164, 912, 2018, 8237, 16229, 815, 15652, 263, 19477, 267, 1970, 267, 1164, 994, 2018, 2656, 5334, 677, 273, 263, 19477, 267, 869, 267, 20889, 16229, 994, 2018, 2656, 5334, 677, 273, 263, 19477, 267, 20889, 16229, 266, 272, 267, 14683, 994, 825, 2656, 5334, 677, 273, 16325, 267, 271, 267, 6352, 16325, 9984, 272, 994, 825, 2132, 1003, 22562, 333, 25507, 9272, 2891, 11767, 519, 3259, 540, 519, 5044, 281, 27328, 6783, 284, 4289, 9852, 777, 17301, 267, 6358, 2891, 11767, 519, 5044, 547, 581, 15044, 281, 834, 1040, 29328, 14061, 20889, 3890, 4297, 11468, 333, 2639, 2745, 263, 638, 1157, 5334, 677, 263, 6783, 4297, 567, 692, 3698, 5542, 5334, 677, 19906, 2187, 825, 585, 1775, 538, 2039, 12759, 19906, 15892, 1038, 561, 16229, 815, 1775, 454, 1038, 585, 795, 538, 2039, 9217, 266, 272, 267, 6352, 19906, 15892, 2018, 952, 2855, 14728, 316, 2999, 2855, 314, 331, 16229, 14158, 3546, 561, 16229, 815, 795, 454, 1038, 2855, 5157, 3910, 2855, 314, 331, 16229, 316, 815, 2855, 314, 331, 16229, 3910, 2855, 5157, 2639, 825, 2132, 2855, 454, 333, 25507, 9272, 2891, 11767, 519, 3259, 540, 519, 5044, 281, 27328, 6783, 284, 4289, 9852, 777, 17301, 267, 6358, 2891, 11767, 519, 5044, 547, 581, 15044, 281, 834, 1040, 29328, 14061, 20889, 3890, 4297, 11468, 333, 2639, 2745, 263, 572, 3005, 5334, 677, 263, 6783, 4297, 8528, 5035, 26761, 912, 825, 1293, 815, 476, 271, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 720, 267, 2998, 1023, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 720, 815, 2085, 454, 1038, 1582, 269, 2998, 1023, 815, 3853, 454, 1038, 26761, 29644, 6834, 476, 272, 28329, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 9497, 11243, 281, 2715, 9574, 6520, 281, 2715, 9574, 17644, 281, 15079, 2668, 8971, 4311, 20508, 267, 1345, 269, 720, 267, 1345, 269, 2998, 1023, 11723, 343, 815, 26761, 2891, 4537, 643, 600, 2580, 2641, 267, 1911, 994, 344, 815, 26761, 2891, 292, 6577, 2580, 3066, 267, 6344, 994, 2745, 3287, 2437, 315, 333, 2580, 344, 994, 2745, 263, 32156, 29644, 264, 8528, 5035, 26761, 912, 8931, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 720, 267, 15680, 776, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 720, 815, 2085, 454, 1038, 1582, 4732, 531, 776, 815, 14057, 22562, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 9497, 11243, 281, 2715, 9574, 6520, 281, 2715, 9574, 6428, 776, 281, 15079, 2668, 8971, 4311, 20508, 267, 1345, 269, 720, 267, 1345, 4732, 531, 776, 264, 9239, 5035, 1179, 338, 263, 32156, 2567, 1948, 1103, 615, 13330, 22562, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 720, 267, 15680, 776, 267, 19417, 2187, 1038, 2706, 4433, 701, 14369, 267, 1582, 1040, 1029, 8181, 9191, 4067, 267, 720, 267, 15680, 776, 994, 1038, 1582, 269, 19417, 815, 4463, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 840, 815, 2706, 4433, 701, 14369, 267, 1582, 1040, 1029, 1598, 1029, 4590, 1038, 840, 6834, 14307, 27551, 281, 15079, 2668, 8971, 9230, 1345, 269, 19417, 4917, 1038, 2132, 840, 454, 345, 815, 1179, 338, 2891, 4537, 643, 600, 2580, 2641, 267, 1911, 1822, 876, 267, 14444, 994, 2745, 18750, 264, 567, 692, 3698, 12430, 15507, 19906, 267, 25279, 2187, 825, 585, 1775, 538, 2039, 12759, 19906, 15892, 1038, 952, 1605, 2652, 2855, 5157, 14158, 2018, 2132, 1775, 454, 825, 2132, 910, 272, 692, 333, 25507, 9272, 2891, 11767, 519, 3259, 540, 519, 5044, 281, 27328, 320, 284, 4289, 9852, 777, 17301, 267, 6358, 2891, 11767, 519, 2609, 538, 519, 5044, 281, 834, 1040, 29328, 14061, 20889, 3890, 4297, 11468, 333, 2639, 324, 25507, 9272, 2891, 11767, 519, 3693, 547, 581, 22646, 281, 27328, 2745, 2891, 10831, 1336, 693, 5044, 4994, 281, 14307, 30791, 15507, 5416, 267, 324, 264, 9239, 3698, 23030, 15507, 19906, 267, 25279, 2187, 825, 1101, 815, 476, 271, 454, 825, 2063, 815, 7003, 19906, 9984, 272, 454, 825, 4994, 815, 910, 272, 692, 825, 1247, 6600, 1009, 10922, 2063, 264, 543, 630, 8161, 2652, 910, 272, 2187, 1038, 4571, 815, 630, 14140, 266, 18431, 264, 2260, 273, 454, 1038, 952, 2855, 314, 13232, 316, 2652, 1605, 912, 2018, 4994, 815, 4571, 454, 1038, 8640, 1605, 2999, 2855, 314, 13232, 14158, 2018, 2063, 815, 4571, 910, 476, 272, 454, 1038, 3116, 912, 2018, 1101, 815, 4571, 1341, 476, 272, 454, 825, 2132, 4994, 454, 2745, 2891, 763, 1297, 568, 1336, 693, 5044, 4994, 281, 14307, 289, 2435, 15507, 8443, 1015, 267, 736, 267, 1789, 267, 2412, 267, 2004, 3910, 2412, 4297, 8528, 5814, 20313, 454, 5814, 7510, 14808, 2280, 692, 336, 284, 28255, 269, 20075, 826, 4590, 11133, 1499, 17342, 1015, 267, 736, 267, 1789, 267, 2412, 267, 2004, 267, 2568, 267, 3583, 2639, 1721, 1775, 538, 2338, 912, 825, 7117, 269, 1584, 9217, 994, 258, 2060, 5272, 7179, 15048, 513, 1007, 3693, 786, 581, 5697, 1759, 547, 519, 2990, 538, 519, 20313, 563, 258, 293, 9281, 302, 454, 2745, 32429, 10947, 15405, 2745, 32429, 10947, 15405, 2745, 32429, 10947, 15405, 2745, 32429, 10947, 15405, 2745, 32429, 10947, 15405, 2745, 19629, 333, 15419, 258, 299, 9281, 302, 454, 336, 272, 284, 28255, 11482, 604, 334, 20075, 826, 4590, 1721, 1535, 538, 2338, 912, 825, 7117, 272, 269, 1584, 3287, 994, 2745, 32429, 272, 10947, 15405, 2745, 32429, 272, 10947, 15405, 2745, 32429, 272, 10947, 15405, 2745, 32429, 272, 10947, 15405, 2745, 32429, 272, 10947, 31156, 258, 26212, 640, 6581, 826, 454, 336, 274, 815, 20313, 10422, 1874, 640, 20075, 826, 4590, 336, 274, 269, 1584, 9230, 273, 2437, 4537, 643, 600, 6129, 559, 13225, 657, 1446, 27363, 336, 274, 269, 1584, 9230, 272, 2437, 300, 1446, 27363, 336, 274, 269, 1584, 9230, 274, 267, 2641, 11723, 6112, 711, 630, 336, 274, 269, 24105, 3890, 2187, 825, 1820, 32429, 274, 10947, 31156, 19638, 19638, 7531, 672, 692, 7531, 0, 18851, 13329, 2939, 5811, 1210, 1257, 4565, 984, 8173, 5228, 1257, 4565, 984, 1104, 7956, 7922, 984, 454, 5228, 11356, 1104, 9137, 692, 14766, 815, 3403, 2891, 11767, 519, 29250, 540, 519, 2376, 547, 2196, 519, 2079, 24097, 333, 15419, 14835, 284, 20684, 263, 14766, 2020, 14835, 6155, 5877, 4590, 14835, 269, 27785, 4590, 14835, 8542, 331, 335, 10797, 3667, 815, 2376, 27904, 4424, 454, 2745, 29495, 9239, 4565, 984, 815, 7956, 7922, 984, 29495, 994, 338, 550, 2939, 815, 1025, 984, 4732, 550, 2939, 4877, 6897, 640, 3097, 18851, 910, 272, 1677, 476, 272, 630, 289, 611, 25341, 6153, 264, 8173, 2745, 4433, 550, 2939, 2020, 604, 18941, 2652, 476, 271, 912, 825, 1820, 2891, 763, 1543, 540, 519, 2376, 5654, 9243, 5602, 19197, 630, 271, 283, 338, 550, 2939, 2999, 476, 271, 269, 276, 476, 2187, 825, 1820, 2891, 763, 9137, 568, 930, 2914, 1002, 2318, 5602, 19197, 18941, 13843, 476, 271, 269, 276, 912, 825, 1820, 2891, 763, 9137, 568, 5403, 633 ]

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

[ 4505, 6881, 949, 849, 2049, 609, 4028, 12614, 540, 4049, 2589, 267, 538, 1880, 19818, 269, 634, 1034, 1455, 2589, 540, 1826, 476, 272, 3987, 22577, 546, 332, 616, 4874, 22202, 267, 4874, 323, 2354, 807, 267, 543, 4874, 874, 698, 807, 267, 2059, 609, 561, 817, 3363, 267, 15353, 267, 543, 23324, 5075, 267, 782, 540, 799, 1267, 689, 519, 5409, 16744, 20945, 3294, 269, 1677, 4766, 519, 9043, 540, 2043, 540, 1072, 2533, 2687, 547, 519, 4632, 6594, 269, 901, 568, 4440, 519, 1101, 3102, 1837, 593, 1439, 4531, 11659, 543, 3987, 22577, 799, 568, 30363, 676, 930, 540, 519, 6845, 328, 768, 739, 21944, 4966, 538, 519, 2361, 269, 634, 2619, 30986, 540, 1826, 476, 272, 3987, 24283, 689, 519, 16991, 9552, 540, 7378, 572, 920, 1154, 25524, 2281, 269, 9502, 267, 5868, 543, 8760, 540, 3987, 22577, 269, 4455, 476, 2764, 267, 476, 1001, 276, 5103, 741, 7145, 538, 16715, 9025, 24896, 543, 9019, 267, 2493, 1231, 476, 274, 5139, 32611, 274, 332, 14007, 6921, 583, 776, 331, 1723, 523, 10405, 513, 1487, 551, 848, 554, 16936, 337, 20127, 723, 1044, 3254, 547, 581, 2404, 609, 513, 1507, 1981, 540, 10071, 3987, 22577, 269, 769, 930, 2665, 267, 575, 323, 332, 568, 2965, 1826, 476, 273, 3987, 602, 814, 711, 5892, 1044, 8995, 267, 855, 585, 1034, 2550, 519, 269, 15482, 2359, 9270, 585, 519, 3461, 609, 3987, 269, 589, 4909, 543, 4791, 1257, 632, 516, 330, 561, 3266, 603, 267, 521, 830, 517, 1775, 269, 7392, 476, 272, 3987, 5892, 1572, 1202, 592, 785, 8817, 3987, 22577, 610, 11174, 976, 564, 3987, 949, 2272, 585, 476, 276, 260, 547, 476, 1015, 260, 540, 782, 8995, 2665, 540, 3987, 269, 634, 10424, 513, 26894, 2852, 540, 2489, 9439, 543, 3987, 31065, 267, 476, 1001, 277, 269, 1717, 267, 2094, 1082, 2550, 609, 1826, 476, 273, 3987, 2154, 7378, 267, 713, 16166, 3123, 10539, 543, 1058, 1100, 3476, 581, 1031, 563, 763, 2783, 568, 2356, 8995, 538, 1004, 9907, 936, 476, 2412, 1296, 267, 609, 513, 8445, 2085, 540, 12614, 538, 2919, 2477, 540, 476, 2568, 278, 271, 1296, 540, 2085, 269, 4658, 609, 3987, 723, 11465, 1981, 2157, 13380, 547, 1004, 609, 1991, 11465, 476, 736, 260, 476, 866, 260, 476, 271, 476, 276, 476, 1015, 476, 1428, 476, 736, 476, 1839, 3987, 1100, 1991, 11465, 1991, 11465, 1100, 3987, 561, 2550, 609, 3987, 1510, 3105, 11465, 723, 607, 1164, 540, 513, 1981, 540, 11465, 607, 562, 1180, 328, 12185, 2550, 609, 3105, 11465, 269, 9947, 476, 1556, 267, 476, 1001, 272, 4791, 23314, 540, 3987, 22577, 795, 2317, 476, 1556, 267, 476, 1001, 272, 676, 3987, 663, 339, 13015, 519, 3987, 568, 811, 6654, 982, 538, 4079, 267, 519, 2589, 538, 1453, 621, 19599, 267, 602, 519, 5868, 666, 581, 3006, 8959, 610, 16607, 267, 3987, 568, 513, 1390, 708, 527, 1807, 269, 10644, 540, 1826, 273, 3987, 22577, 543, 519, 1909, 540, 2168, 3635, 519, 2164, 540, 1585, 1246, 1575, 2090, 723, 7000, 602, 519, 1697, 2732, 5916, 609, 2168, 3635, 616, 711, 1152, 3730, 538, 7303, 1826, 273, 3987, 22577, 543, 5355, 2068, 4567, 855, 616, 849, 2500, 538, 519, 6604, 543, 2126, 540, 782, 824, 7378, 269, 3057, 476, 1556, 267, 476, 1708, 271, 693, 2988, 673, 5409, 16744, 20945, 6881, 5267, 6236, 513, 10368, 540, 824, 2010, 540, 3987, 269, 10765, 5359, 5815, 606, 2810, 9860, 540, 1826, 476, 273, 3987, 22577, 512, 323, 273, 332, 538, 1453, 543, 10708, 1472, 519, 1158, 538, 782, 6803, 885, 267, 7654, 1813, 547, 2810, 9860, 540, 8377, 269, 634, 1065, 27074, 566, 2564, 6392, 993, 1742, 267, 896, 1016, 7611, 476, 3422, 321, 279, 540, 269, 12128, 22577, 1696, 5735, 543, 2619, 30986, 4719, 16991, 10194, 2825, 7488, 540, 922, 2014, 267, 3987, 568, 5097, 513, 4524, 540, 7280, 10307, 678, 339, 15534, 610, 13385, 7378, 3761, 543, 528, 4057, 13345, 540, 519, 7378, 602, 568, 2139, 269, 11916, 1439, 4531, 11659, 543, 3987, 22577, 4320, 476, 272, 7824, 269, 9509, 1257, 1205, 513, 7792, 5299, 7824, 3758, 540, 519, 2347, 2376, 476, 6795, 272, 330, 267, 610, 4945, 593, 513, 2985, 3239, 2630, 547, 19584, 2985, 676, 2985, 269, 769, 713, 1106, 540, 3987, 267, 519, 2557, 540, 536, 3250, 9552, 568, 3833, 4756, 267, 1373, 4028, 538, 930, 2043, 5631, 12256, 543, 1453, 543, 3500, 538, 1866, 5631, 4079, 269, 4750, 540, 3987, 543, 922, 8374, 795, 26501, 568, 513, 4760, 585, 1072, 1416, 9439, 543, 3173, 267, 602, 32245, 3312, 1382, 827, 519, 31630, 267, 5868, 543, 2359, 540, 3987, 22577, 543, 922, 8374, 269, 634, 5767, 9193, 12354, 3426, 476, 1220, 280, 5815, 972, 941, 936, 476, 13970, 267, 1822, 1007, 2665, 540, 3987, 8995, 538, 519, 20410, 1282, 519, 2250, 1032, 267, 8744, 519, 2698, 1297, 540, 1346, 8995, 547, 476, 273, 269, 12128, 3987, 22577, 3987, 22577, 3987, 563, 2304, 15435, 540, 1826, 476, 273, 3987, 568, 896, 1259, 538, 1312, 2919, 543, 3384, 2477, 827, 476, 1240, 2929, 1004, 538, 519, 579, 269, 634, 6437, 6227, 2866, 538, 782, 2185, 6082, 540, 519, 20410, 269, 11916, 19183, 540, 8459, 2068, 1851, 721, 4079, 269, 5623, 2376, 3987, 22577, 513, 14042, 10894, 269, 4937, 2259, 2359, 540, 1826, 476, 273, 3987, 3987, 31065, 269, 17976, 337, 543, 9074, 6205, 267, 8257, 540, 24027, 1072, 9443, 267, 1312, 334, 6280, 267, 536, 1824, 32272, 476, 273, 269, 12443, 22202, 568, 3361, 676, 23015, 5328, 1019, 999, 529, 6281, 547, 5409, 16744, 20945, 269, 5221, 621, 3947, 782, 519, 2010, 1775, 666, 1631, 948, 930, 824, 1004, 602, 1616, 547, 1205, 1072, 269, 7392, 476, 273, 3987, 22577, 666, 2356, 581, 21630, 689, 1826, 476, 272, 3987, 22577, 593, 519, 4493, 540, 1686, 543, 2168, 6514, 4681, 543, 2241, 8047, 4255, 1294, 960, 1575, 563, 763, 2165, 3987, 22577, 6257, 3676, 540, 9402, 19346, 10307, 602, 616, 6353, 676, 5409, 16744, 20945, 269, 11916, 23314, 540, 3987, 22577, 3987, 543, 269, 12186, 540, 3987, 7824, 3987, 22577, 2069, 269, 589, 20200, 673, 5409, 16744, 20945, 6881, 5267, 6236, 513, 10368, 540, 824, 2010, 540, 3987, 269, 6465, 1231, 543, 1007, 976, 564, 3987, 22577, 543, 15847, 269, 7392, 476, 272, 3987, 6589, 585, 827, 476, 1015, 476, 1428, 260, 540, 782, 31911, 269, 769, 713, 2543, 267, 519, 1353, 2295, 2557, 13260, 607, 2038, 24750, 518, 585, 519, 6268, 540, 3987, 22577, 3356, 676, 678, 269, 4455, 476, 3066, 267, 476, 1708, 271, 519, 1034, 1455, 2589, 540, 1826, 476, 272, 3987, 22577, 546, 332, 616, 4874, 22202, 267, 4874, 323, 2354, 807, 267, 543, 4874, 874, 698, 807, 267, 2059, 609, 561, 817, 3363, 267, 15353, 267, 543, 23324, 5075, 267, 782, 540, 799, 1267, 689, 519, 5409, 16744, 20945, 3294, 269, 589, 476, 7871, 20204, 1245, 812, 609, 1826, 476, 273, 546, 332, 540, 476, 279, 1296, 8653, 6799, 547, 519, 16758, 609, 513, 1686, 540, 1928, 543, 513, 20414, 610, 1327, 6362, 14815, 950, 12394, 547, 4827, 519, 11263, 540, 1010, 1318, 1688, 269, 4985, 3987, 22577, 568, 513, 10894, 4524, 6353, 676, 10770, 5409, 16744, 20945, 1164, 1973, 4006, 1377, 563, 5278, 2550, 267, 3226, 669, 559, 546, 1066, 543, 10708, 267, 949, 1459, 609, 27520, 29403, 2670, 607, 519, 269, 12207, 616, 513, 1900, 6251, 547, 1620, 1946, 3987, 568, 269, 12128, 22577, 546, 332, 267, 4122, 1634, 607, 3987, 267, 568, 513, 1895, 540, 10894, 4713, 6353, 676, 513, 1164, 1973, 4006, 1377, 936, 513, 12675, 1974, 540, 942, 269, 12128, 22577, 15428, 533, 696, 562, 6344, 3987, 22577, 1990, 30377, 269, 31080, 616, 2808, 693, 1164, 1981, 585, 3987, 952, 789, 269, 8241, 2852, 540, 2489, 9439, 543, 3987, 31065, 267, 476, 1001, 275, 269, 4455, 476, 3066, 267, 476, 1708, 271, 1826, 476, 273, 3987, 22577, 666, 2356, 581, 21630, 689, 1826, 476, 272, 3987, 22577, 593, 519, 4493, 540, 1686, 543, 2168, 6514, 4681, 543, 2241, 8047, 4255, 1294, 960, 1575, 269, 12128, 22577, 568, 513, 5312, 25012, 4524, 267, 6353, 676, 5409, 16744, 8619, 8598, 4611, 689, 6207, 610, 3448, 7378, 10638, 269, 11916, 23314, 540, 3987, 22577, 795, 2317, 476, 1556, 267, 476, 1001, 272, 676, 3987, 663, 339, 13015, 519, 3987, 568, 811, 6654, 982, 538, 4079, 267, 519, 2589, 538, 1453, 621, 19599, 267, 602, 519, 5868, 666, 581, 3006, 8959, 610, 16607, 267, 3987, 568, 513, 1390, 708, 527, 1807, 269, 7392, 476, 273, 3987, 568, 27537, 676, 9402, 7378, 21131, 1813, 547, 15672, 4187, 269, 1290, 4124, 543, 519, 942, 540, 5868, 540, 3987, 22577, 538, 3119, 1416, 519, 11117, 4632, 941, 1124, 1675, 655, 4919, 4162, 267, 8653, 540, 2068, 543, 12614, 540, 8374, 689, 1004, 609, 513, 5868, 540, 3987, 22577, 269, 589, 1007, 2165, 267, 952, 326, 15176, 17509, 7280, 267, 11225, 7280, 2418, 602, 616, 3152, 982, 610, 3160, 547, 476, 1911, 8406, 323, 331, 543, 909, 547, 476, 10219, 8406, 323, 331, 269, 28088, 532, 2901, 689, 16283, 21131, 540, 9449, 7378, 267, 606, 7850, 3210, 540, 3077, 1591, 547, 7378, 610, 4999, 540, 891, 2188, 269, 14904, 609, 1826, 476, 273, 3987, 616, 3622, 17324, 267, 543, 949, 723, 1035, 13183, 2670, 562, 580, 878, 753, 543, 528, 554, 15077, 583, 1143, 538, 563, 297, 26501, 849, 32245, 4930, 593, 12214, 543, 7636, 3344, 540, 7280, 27921, 269, 4475, 267, 519, 2832, 540, 938, 1353, 729, 547, 6218, 519, 4791, 6881, 543, 2359, 540, 3987, 22577, 538, 6379, 543, 3715, 741, 1198, 593, 519, 6364, 540, 6379, 269, 2776, 28700, 3928, 540, 1875, 1231, 592, 785, 8817, 3987, 22577, 562, 1342, 332, 1759, 593, 606, 5711, 7280, 10892, 1449, 267, 1686, 267, 543, 6646, 946, 941, 11117, 538, 606, 26627, 1069, 1497, 5035, 2146, 540, 4587, 269, 5004, 540, 1826, 476, 273, 3987, 22577, 544, 747, 10247, 4915, 269, 8447, 6514, 8761, 513, 27621, 762, 12162, 2544, 936, 519, 8772, 543, 11359, 1558, 659, 17369, 2684, 531, 1052, 531, 26818, 335, 10549, 269, 4658, 945, 723, 1826, 476, 272, 3987, 666, 1100, 3476, 1118, 713, 9449, 269, 6184, 6081, 8060, 875, 1454, 4006, 13978, 538, 707, 1973, 269, 5004, 540, 1973, 7280, 538, 1826, 476, 273, 3987, 22577, 7824, 269, 5463, 476, 1015, 267, 476, 736, 519, 11841, 540, 3987, 22577, 568, 1164, 538, 737, 17703, 7159, 2190, 543, 786, 3136, 547, 2333, 1839, 538, 2070, 540, 519, 2810, 11841, 540, 8377, 538, 519, 2551, 269, 12580, 1419, 1331, 7928, 30614, 267, 2799, 19818, 267, 543, 2799, 269, 898, 729, 1101, 4080, 538, 26131, 1014, 12377, 827, 476, 4968, 271, 1296, 3516, 269, 2422, 540, 519, 544, 747, 10247, 29302, 9584, 6293, 607, 513, 2268, 540, 30218, 27101, 15672, 29302, 538, 1826, 476, 272, 3987, 269, 23398, 2242, 538, 519, 1576, 540, 546, 9492, 267, 1896, 6198, 2242, 1020, 543, 3356, 4137, 476, 272, 563, 7093, 28700, 3928, 540, 1875, 1202, 592, 785, 8817, 3987, 22577, 562, 1342, 332, 1759, 593, 606, 5711, 7280, 10892, 1449, 267, 1686, 267, 543, 6646, 946, 941, 11117, 538, 606, 26627, 1069, 1497, 5035, 2146, 540, 4587, 269, 12128, 22577, 568, 519, 1034, 1455, 2014, 540, 5312, 8459, 2068, 538, 519, 1158, 267, 3056, 547, 2789, 8374, 1519, 1439, 560, 720, 17669, 2068, 267, 9025, 2068, 267, 3968, 267, 543, 2669, 269, 27275, 27248, 679, 999, 529, 6281, 547, 4874, 22202, 666, 581, 606, 16315, 540, 12614, 269, 898, 568, 5497, 547, 1683, 513, 16046, 8115, 1063, 519, 2259, 540, 4791, 4915, 543, 2257, 540, 1439, 4531, 11659, 269, 2004, 279, 476, 278, 2767, 476, 279, 4817, 476, 15793, 278, 476, 5611, 273, 476, 280, 1691, 476, 15793, 476, 15221, 278, 476, 4649, 274, 476, 15793, 280, 476, 276, 6507, 476, 16825, 280, 476, 14321, 476, 14625, 276, 476, 5611, 276, 476, 279, 4097, 476, 276, 3066, 476, 279, 3066, 476, 8099, 273, 476, 279, 6858, 476, 13199, 476, 24062, 476, 13893, 280, 476, 276, 1724, 476, 13923, 278, 476, 16318, 277, 476, 2735, 476, 2412, 476, 10755, 476, 30020, 476, 9818, 276, 476, 5611, 280, 476, 279, 4510, 476, 31134, 476, 14983, 275, 476, 8064, 476, 14681, 476, 1220, 476, 4281, 276, 476, 20542, 476, 27244, 476, 22332, 0, 763, 3339, 7344, 8647, 540, 519, 2295, 5673, 593, 1697, 5122, 8647, 267, 10630, 538, 519, 18615, 11852, 540, 10605, 20447, 2281, 267, 543, 519, 3339, 18640, 540, 2534, 998 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3992, 5956, 609, 3815, 4054, 543, 10953, 7444, 547, 28809, 676, 23454, 543, 2027, 3270, 269, 17029, 3149, 808, 1723, 6115, 780, 10190, 267, 1053, 2328, 782, 540, 519, 3815, 8424, 540, 519, 3791, 2165, 543, 5858, 519, 6292, 269, 8479, 22697, 1451, 547, 14458, 7787, 3252, 998, 28809, 269, 634, 28809, 4976, 267, 1053, 946, 741, 4267, 616, 1318, 1934, 616, 2556, 585, 1053, 5659, 519, 1655, 851, 540, 713, 4976, 269, 8921, 3815, 519, 1101, 1079, 2474, 543, 3815, 519, 2063, 1079, 2474, 269, 769, 713, 28809, 4976, 267, 1053, 14458, 959, 30796, 338, 269, 9717, 959, 30796, 4976, 4267, 609, 28809, 3211, 547, 269, 1403, 11234, 267, 5225, 6330, 547, 519, 3617, 15682, 4087, 269, 1284, 723, 1500, 621, 2653, 585, 596, 547, 1265, 513, 7300, 661, 9248, 1510, 1022, 20857, 269, 769, 1312, 3044, 543, 2626, 950, 4358, 609, 2606, 2055, 269, 1452, 4066, 616, 1031, 585, 1919, 899, 1719, 1759, 661, 1206, 344, 18537, 269, 2422, 1034, 1419, 267, 28809, 4976, 4267, 543, 2626, 1883, 568, 3769, 269, 1411, 3112, 2824, 513, 2243, 952, 519, 1699, 1353, 1900, 568, 711, 513, 2243, 269, 16748, 538, 1114, 2994, 538, 513, 3992, 585, 28809, 9076, 18267, 780, 15648, 1570, 543, 28809, 3211, 4267, 267, 1287, 2626, 950, 1101, 269, 769, 1249, 1819, 959, 30796, 338, 4976, 4267, 543, 3815, 519, 4976, 2697, 519, 269, 6611, 568, 3177, 547, 5299, 519, 2953, 2626, 950, 3177, 269, 6271, 1935, 547, 959, 30796, 338, 543, 2626, 1883, 568, 849, 1265, 543, 269, 3689, 267, 519, 30494, 568, 1336, 1210, 519, 25355, 14497, 269, 9906, 814, 29933, 13392, 780, 18800, 1114, 28809, 2409, 585, 23481, 338, 267, 959, 30796, 338, 267, 543, 21335, 269, 1403, 789, 941, 3160, 547, 835, 267, 519, 2179, 540, 942, 596, 6108, 1131, 581, 7494, 27571, 269, 13017, 23652, 547, 959, 30796, 338, 4976, 4267, 585, 1919, 899, 952, 519, 959, 30796, 7215, 602, 616, 2907, 606, 3169, 4605, 540, 269, 3689, 2097, 2066, 538, 28809, 959, 30796, 338, 4976, 4267, 269, 1358, 723, 10375, 4267, 616, 596, 3112, 2824, 513, 959, 30796, 286, 901, 568, 513, 28809, 959, 30796, 338, 676, 23454, 681, 2839, 291, 4041, 4976, 269, 2353, 540, 519, 9076, 18267, 538, 519, 4199, 723, 513, 3056, 11664, 540, 835, 269, 769, 713, 7223, 3992, 267, 1053, 4194, 959, 30796, 338, 1210, 2027, 3270, 269, 898, 568, 519, 2626, 519, 3381, 602, 789, 9305, 28809, 513, 28809, 286, 3689, 1711, 707, 2626, 6656, 814, 29933, 2042, 689, 6061, 543, 269, 10261, 513, 2370, 3063, 948, 2496, 1103, 513, 959, 30796, 267, 621, 568, 711, 513, 2370, 4503, 2496, 9202, 3815, 4054, 543, 2653, 585, 28809, 13392, 7215, 602, 6238, 609, 2606, 2055, 610, 1312, 2318, 610, 3017, 10945, 2626, 609, 28809, 959, 30796, 338, 4976, 4267, 585, 1053, 3815, 856, 780, 15933, 1357, 4976, 585, 28809, 2596, 9076, 18267, 3815, 267, 543, 2347, 606, 7979, 1512, 814, 513, 1463, 8390, 2078, 547, 1820, 1142, 786, 2901, 581, 2111, 547, 269, 0, 5141, 846, 692, 1012, 1548, 3123, 606, 1843, 547, 1689, 3432, 610, 4287, 2496, 2690, 806, 1860, 875, 3615, 1847, 269, 1358, 949, 2014, 5163, 282, 789, 949, 849, 3500, 267, 3247, 267, 610, 1689, 519, 4287, 540, 5163, 540, 606, 1843, 602, 568, 2907, 3001, 269, 4595, 3196, 2014, 2242, 538, 519, 3432, 610, 4287, 540, 606, 1843, 267, 649, 666, 2161, 602, 4229, 2014, 2242, 538, 6991, 269, 1924, 4229, 2014, 10231, 780, 1012, 1548, 3196, 3123, 513, 3001, 1843, 547, 3432, 909, 2496, 30311, 476, 273, 1107, 17086, 1118, 1919, 3432, 909, 630, 528, 17108, 1040, 1879, 513, 3196, 24864, 610, 27605, 519, 1843, 267, 519, 1843, 786, 1847, 538, 519, 4287, 540, 519, 3196, 269, 634, 8273, 519, 3196, 267, 543, 519, 14402, 519, 1843, 267, 519, 3152, 519, 10231, 780, 1012, 1548, 3123, 606, 1843, 547, 1847, 3432, 909, 3500, 1524, 543, 3247, 610, 1689, 4287, 2496, 2690, 19335, 3615, 543, 3615, 3001, 609, 513, 11931, 3432, 538, 513, 2786, 1899, 267, 782, 519, 4229, 22599, 1142, 824, 856, 267, 1775, 4318, 269, 789, 616, 7059, 269, 1403, 519, 4229, 616, 711, 7059, 1287, 519, 5163, 540, 519, 1843, 2242, 269, 898, 949, 3432, 909, 267, 3500, 1524, 543, 5924, 1689, 4287, 780, 1012, 1548, 786, 4755, 547, 519, 3432, 540, 513, 3001, 1843, 950, 649, 4019, 3196, 538, 4287, 540, 5163, 2496, 2252, 519, 3196, 4294, 593, 519, 1843, 568, 538, 519, 4287, 540, 922, 5163, 267, 519, 3432, 540, 519, 1843, 4679, 269, 1403, 519, 3196, 568, 4294, 538, 519, 4287, 6587, 547, 519, 4287, 540, 5163, 267, 1287, 621, 2164, 538, 513, 6175, 538, 519, 3432, 540, 519, 1843, 269, 2913, 721, 2015, 930, 811, 1806, 780, 1012, 1215, 666, 649, 2569, 519, 3432, 540, 513, 3001, 1843, 2496, 12585, 281, 1403, 3196, 568, 4294, 538, 519, 4287, 6587, 547, 519, 4287, 540, 519, 5163, 2073, 621, 2164, 538, 513, 6175, 538, 519, 3432, 540, 519, 1843, 780, 1012, 2052, 513, 1447, 7372, 1843, 723, 811, 11610, 982, 513, 811, 7372, 1843, 2496, 288, 1447, 7372, 1843, 666, 2760, 723, 811, 11610, 982, 513, 811, 7372, 1843, 269, 5565, 9838, 3615, 616, 3001, 538, 6587, 8846, 693, 519, 1482, 3432, 269, 634, 4464, 3001, 1843, 786, 723, 519, 6574, 11610, 780, 1012, 6496, 513, 19335, 1843, 723, 24880, 2496, 1103, 1068, 807, 568, 513, 3196, 799, 8952, 19335, 3615, 693, 1964, 543, 3001, 3615, 538, 5163, 693, 3586, 6991, 269, 769, 1068, 807, 568, 513, 3196, 799, 6770, 782, 3615, 547, 513, 1964, 2990, 269, 2353, 3615, 723, 24880, 269, 16258, 2173, 8221, 3615, 723, 811, 24880, 982, 3500, 2173, 8221, 3615, 780, 1012, 1879, 606, 1843, 11250, 909, 1281, 621, 2744, 11610, 2496, 763, 11610, 540, 606, 1843, 666, 1689, 269, 5565, 3615, 609, 519, 1482, 2527, 786, 2141, 723, 519, 1482, 11610, 269, 3502, 782, 3001, 3615, 723, 11610, 269, 1879, 606, 1843, 11250, 909, 621, 12374, 11610, 780, 1012, 1215, 666, 513, 811, 7372, 1843, 723, 519, 1482, 15452, 1648, 607, 513, 1447, 7372, 1843, 2496, 1607, 568, 5726, 540, 11610, 269, 20653, 6290, 568, 519, 12018, 3815, 538, 11610, 269, 4746, 267, 538, 601, 2880, 16580, 1797, 602, 519, 3615, 786, 711, 25483, 1055, 1310, 16580, 269, 4475, 267, 519, 3432, 540, 519, 811, 7372, 1843, 786, 581, 519, 1482, 607, 519, 3432, 540, 519, 1447, 2173, 817, 633, 1843, 1317, 540, 4483, 540, 15452, 1648, 780, 1012, 1215, 798, 596, 917, 952, 606, 1843, 814, 811, 15452, 1648, 2496, 12179, 5503, 2339, 568, 538, 5163, 621, 814, 15452, 1648, 269, 634, 5488, 606, 1843, 7575, 267, 519, 811, 15452, 1648, 621, 814, 269, 634, 811, 2527, 606, 1843, 814, 267, 519, 811, 15452, 1648, 621, 814, 269, 4340, 547, 713, 3830, 267, 1018, 2360, 918, 9950, 269, 811, 519, 2527, 610, 519, 6991, 2496, 1012, 1215, 798, 596, 917, 952, 606, 1843, 814, 811, 1761, 1648, 2496, 763, 2179, 540, 14965, 1761, 1648, 606, 1843, 814, 5673, 593, 922, 4463, 543, 2527, 269, 634, 18219, 519, 1843, 543, 519, 2362, 621, 568, 1657, 519, 2666, 267, 519, 811, 14965, 1761, 1648, 621, 6585, 780, 1012, 2052, 606, 1843, 723, 811, 982, 835, 1106, 540, 1648, 2496, 4407, 1648, 666, 2097, 538, 1082, 1114, 2010, 267, 972, 616, 1152, 1079, 1292, 3029, 540, 1648, 281, 15452, 1648, 543, 1761, 1648, 269, 1452, 19367, 616, 1336, 538, 782, 3615, 269, 1403, 606, 1843, 568, 538, 5163, 630, 328, 4318, 269, 3001, 1070, 621, 568, 1767, 547, 723, 15452, 1648, 780, 1012, 1548, 616, 519, 2188, 7133, 519, 15452, 1648, 540, 606, 1843, 2496, 2467, 616, 1079, 2188, 602, 1860, 875, 1454, 15452, 1648, 513, 3001, 1843, 786, 723, 281, 2527, 543, 3432, 780, 1012, 1548, 616, 519, 2188, 602, 3310, 519, 15452, 1648, 540, 713, 20987, 2496, 763, 2179, 540, 20943, 2045, 6052, 602, 606, 1843, 19299, 568, 8200, 593, 1079, 2188, 281, 2527, 543, 6991, 269, 5637, 540, 891, 2188, 616, 2047, 14354, 547, 519, 15452, 1648, 780, 1012, 1548, 568, 519, 15452, 1648, 540, 513, 476, 1911, 4846, 1843, 602, 568, 3001, 609, 513, 3432, 540, 476, 1321, 269, 276, 332, 590, 2496, 284, 476, 278, 267, 279, 1321, 269, 276, 795, 537, 956, 2659, 13613, 568, 1259, 856, 540, 1445, 267, 543, 7543, 547, 1224, 780, 1012, 1548, 4523, 547, 519, 15452, 1648, 540, 513, 3001, 1843, 952, 922, 6991, 568, 23060, 2496, 12585, 269, 1403, 6991, 568, 23060, 267, 20943, 2045, 6052, 4679, 676, 476, 275, 2053, 269, 20943, 2045, 1648, 540, 513, 1560, 568, 519, 1648, 22234, 676, 621, 267, 676, 16495, 540, 922, 5163, 267, 1775, 4318, 269, 952, 519, 1560, 568, 3001, 621, 786, 2141, 723, 15452, 1648, 780, 1708, 272, 268, 4962, 268, 1428, 0, 258, 6673, 10803, 15099, 476, 1220, 278, 2271, 549, 307, 8962, 692, 263, 11795, 2397, 1063, 26941, 994, 297, 2794, 547, 281, 12445, 267, 3406, 454, 31280, 607, 540, 476, 4962, 281, 1321, 267, 476, 278, 4728, 476, 1220, 279, 630, 1613, 2707, 264, 296, 17383, 291, 514, 990, 630, 307, 1779, 1923, 1980, 338, 264, 630, 20681, 7343, 25209, 1299, 7844, 4406, 9179, 264, 16378, 494, 24771, 12575, 7351, 14469, 607, 540, 476, 1428, 281, 4366, 267, 476, 276, 4989, 476, 1001, 274, 630, 1613, 2707, 264, 296, 17383, 291, 514, 990, 630, 307, 1779, 1923, 1980, 338, 264, 544, 630, 20681, 10574, 1773, 1824, 264, 630, 1321, 13591, 26941, 711, 3254, 264, 7412, 476, 273, 281, 7412, 476, 273, 281, 2652, 32417, 609, 13088, 630, 15612, 2209, 543, 23675, 264, 2525, 2652, 32417, 609, 13088, 630, 15612, 2209, 543, 23675, 264, 2525, 910, 589, 2565, 5057, 538, 1022, 1239, 2079, 610, 1184, 1620, 1935, 568, 519, 1646, 540, 513, 2203, 269, 17738, 723, 11741, 10763, 11269, 630, 324, 3052, 1421, 12596, 267, 12572, 4834, 267, 3092, 4700, 634, 2203, 568, 4749, 1031, 547, 1353, 519, 1184, 27985, 269, 2506, 2869, 673, 15418, 540, 519, 2203, 568, 5645, 676, 726, 19982, 538, 1239, 543, 2965, 4152, 519, 2203, 269, 901, 15418, 1900, 949, 581, 2944, 16924, 267, 676, 7384, 519, 2203, 12605, 610, 2203, 23221, 689, 6592, 7403, 269, 901, 3335, 949, 581, 2944, 676, 1688, 1152, 585, 1507, 1297, 540, 7422, 630, 283, 1015, 1040, 769, 2259, 267, 1034, 540, 519, 942, 267, 649, 2328, 630, 528, 946, 2291, 550, 264, 6620, 543, 2780, 3292, 602, 25117, 891, 9273, 585, 1732, 4398, 267, 6111, 543, 11007, 538, 7311, 519, 2203, 547, 3677, 14449, 269, 1341, 589, 2565, 5057, 538, 1022, 1239, 2079, 610, 1184, 1620, 1935, 568, 519, 1646, 540, 513, 2203, 269, 17738, 723, 11741, 10763, 11269, 630, 324, 3052, 1421, 12596, 267, 12572, 4834, 267, 3092, 4700, 634, 2203, 568, 4749, 1031, 547, 1353, 519, 1184, 27985, 269, 2506, 2869, 673, 15418, 540, 519, 2203, 568, 5645, 676, 726, 19982, 538, 1239, 543, 2965, 4152, 519, 2203, 269, 901, 15418, 1900, 949, 581, 2944, 16924, 267, 676, 7384, 519, 2203, 12605, 610, 2203, 23221, 689, 6592, 7403, 269, 901, 3335, 949, 581, 2944, 676, 1688, 1152, 585, 1507, 1297, 540, 7422, 630, 283, 1015, 1040, 769, 2259, 267, 1034, 540, 519, 942, 267, 649, 2328, 630, 528, 946, 2291, 550, 264, 6620, 543, 2780, 3292, 602, 25117, 891, 9273, 585, 3152, 4398, 267, 6111, 543, 11007, 538, 7311, 519, 2203, 547, 3677, 14449, 269, 1703, 616, 513, 1297, 540, 1496, 10674, 2517, 523, 25769, 3820, 28293, 270, 8266, 15058, 14067, 520, 6750, 7272, 871, 1137, 8579, 3301, 2645, 630, 2889, 31810, 264, 602, 835, 666, 2308, 585, 1239, 2079, 543, 8579, 4393, 4940, 2368, 540, 891, 616, 281, 1496, 10674, 2517, 4178, 4732, 553, 2593, 590, 3008, 3910, 1496, 10674, 2517, 4178, 269, 1910, 560, 520, 2593, 20219, 4306, 2969, 3910, 1496, 10674, 2517, 4178, 4732, 335, 1087, 2593, 590, 31723, 3910, 1496, 10674, 2517, 4178, 25331, 3491, 915, 3820, 681, 3910, 20886, 306, 8016, 305, 316, 3910, 3092, 269, 1703, 616, 513, 1297, 540, 1496, 10674, 2517, 523, 25769, 3820, 28293, 270, 8266, 15058, 14067, 520, 6750, 7272, 871, 1137, 8579, 3301, 2645, 630, 2889, 31810, 264, 602, 835, 666, 2308, 585, 1239, 2079, 543, 8579, 4393, 4940, 2368, 540, 891, 616, 281, 1496, 10674, 2517, 4178, 4732, 553, 2593, 590, 3008, 3910, 1496, 10674, 2517, 4178, 269, 1910, 560, 520, 2593, 20219, 4306, 2969, 3910, 1496, 10674, 2517 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29557, 13012, 692, 258, 476, 280, 269, 5400, 11730, 540, 929, 3359, 543, 26561, 692, 8893, 692, 24127, 568, 519, 2179, 540, 2230, 606, 3615, 3217, 909, 267, 713, 666, 581, 519, 2179, 540, 2230, 513, 476, 274, 291, 3337, 26328, 610, 519, 2230, 602, 513, 6219, 630, 338, 13521, 267, 5277, 610, 3154, 264, 25361, 269, 898, 568, 6027, 1210, 4559, 971, 607, 12945, 1984, 22015, 637, 630, 7825, 274, 1070, 12945, 1298, 22015, 637, 630, 9492, 274, 264, 543, 12945, 15432, 630, 332, 274, 6393, 2414, 1265, 519, 4320, 540, 1109, 14328, 929, 3359, 476, 1109, 933, 666, 9062, 519, 1614, 7516, 1927, 269, 5564, 28745, 519, 3259, 676, 519, 4560, 3947, 721, 519, 1858, 540, 519, 3490, 267, 649, 666, 1287, 9062, 713, 676, 519, 4463, 547, 1265, 519, 4320, 780, 24127, 540, 513, 14328, 24388, 692, 763, 4320, 540, 513, 14328, 24388, 568, 2016, 676, 692, 7445, 3667, 346, 24127, 7684, 7807, 3667, 346, 26319, 476, 4153, 9392, 20728, 15830, 1348, 628, 476, 4153, 9392, 20728, 346, 19417, 476, 4151, 24127, 815, 26319, 6398, 30103, 628, 6398, 19417, 2073, 610, 692, 259, 309, 284, 331, 24585, 536, 24585, 554, 259, 309, 284, 331, 9943, 321, 9943, 327, 692, 2162, 10222, 9771, 929, 3359, 692, 2414, 1265, 519, 4320, 540, 513, 21083, 24388, 267, 649, 666, 798, 607, 649, 1705, 585, 519, 14328, 24388, 543, 1265, 519, 1297, 540, 10945, 602, 1131, 3382, 519, 3490, 630, 19327, 540, 519, 3490, 264, 16611, 676, 519, 4463, 780, 3383, 1109, 1492, 4320, 568, 1384, 7445, 3667, 346, 24127, 7684, 7807, 3667, 346, 22704, 540, 519, 6906, 476, 4153, 9392, 20728, 346, 3891, 697, 540, 519, 24388, 476, 4151, 24127, 815, 22704, 540, 519, 6906, 6398, 3891, 697, 540, 519, 24388, 692, 7712, 519, 24388, 666, 1413, 3833, 1114, 4470, 593, 519, 21083, 3068, 543, 799, 1259, 621, 568, 7259, 730, 649, 991, 547, 581, 18762, 827, 799, 7403, 649, 946, 538, 938, 9273, 780, 2414, 5173, 519, 4320, 540, 513, 21083, 24388, 649, 991, 519, 3490, 543, 13902, 4463, 540, 519, 21083, 3068, 607, 1134, 607, 519, 3259, 1109, 1993, 519, 24388, 1109, 268, 519, 3845, 1063, 519, 1079, 21083, 8188, 267, 1109, 6518, 568, 849, 5219, 547, 607, 1109, 1492, 13902, 4463, 540, 519, 24388, 692, 11693, 891, 1614, 7403, 519, 4320, 540, 513, 21083, 24388, 666, 581, 1336, 607, 5205, 780, 24127, 540, 21083, 929, 3359, 692, 2690, 21083, 929, 3359, 1384, 7445, 3667, 346, 24127, 7684, 7807, 3667, 346, 22704, 540, 519, 6906, 4153, 9392, 20728, 346, 19417, 540, 519, 24388, 4151, 24127, 815, 22704, 540, 519, 6906, 9943, 19417, 540, 519, 24388, 692, 7617, 649, 666, 14458, 547, 1269, 309, 284, 25105, 259, 309, 284, 25105, 780, 2971, 4518, 539, 1383, 692, 8340, 519, 4320, 540, 519, 21083, 24388, 3254, 780, 13914, 281, 1109, 2171, 1616, 547, 2697, 519, 3490, 543, 13902, 4463, 540, 519, 21083, 3068, 543, 519, 3259, 540, 519, 24388, 269, 1284, 666, 1287, 946, 519, 4542, 281, 4399, 3667, 346, 24127, 7684, 7807, 3667, 346, 22704, 540, 6906, 4153, 9392, 20728, 346, 19417, 540, 519, 24388, 4151, 24127, 815, 22704, 540, 6906, 9943, 19417, 540, 519, 24388, 780, 2710, 1384, 1269, 309, 259, 309, 1269, 284, 259, 284, 4399, 3667, 346, 22704, 540, 6906, 4153, 9392, 20728, 346, 19417, 540, 519, 24388, 4151, 22704, 540, 6906, 9943, 19417, 540, 519, 24388, 3503, 1524, 4542, 269, 1269, 284, 259, 284, 4399, 3847, 7268, 2765, 346, 272, 2410, 273, 4153, 9392, 275, 24585, 274, 9368, 9385, 9392, 277, 259, 263, 1321, 25991, 9943, 275, 9943, 274, 264, 9943, 277, 15240, 3482, 538, 2016, 13080, 269, 1269, 284, 259, 284, 1269, 277, 24585, 277, 259, 277, 9943, 277, 21414, 519, 1858, 1101, 1269, 284, 259, 284, 1269, 3607, 259, 3607, 21414, 519, 1587, 547, 1265, 519, 4320, 692, 3383, 519, 4320, 540, 519, 21083, 24388, 568, 1269, 3607, 259, 3607, 4699, 273, 780, 8269, 937, 281, 1284, 666, 1294, 602, 538, 519, 2013, 1109, 1993, 1312, 519, 14328, 24388, 267, 543, 519, 21083, 24388, 267, 649, 1101, 7229, 519, 1858, 540, 519, 6366, 3490, 602, 2306, 909, 519, 3337, 267, 543, 1287, 16611, 713, 676, 519, 4463, 540, 519, 24388, 269, 1703, 568, 4986, 2027, 1109, 12671, 891, 1079, 5546, 267, 543, 538, 1249, 267, 649, 666, 1265, 519, 4320, 540, 1022, 24388, 1210, 519, 1482, 1505, 269, 2334, 568, 267, 952, 649, 917, 519, 1858, 540, 519, 3490, 543, 519, 4463, 540, 519, 24388, 649, 666, 1265, 519, 4320, 780, 2162, 11730, 540, 929, 3359, 692, 24127, 540, 513, 24388, 692, 2690, 782, 929, 3359, 1384, 7445, 3667, 346, 24127, 7684, 7807, 3667, 346, 22704, 540, 519, 3490, 4153, 9392, 20728, 346, 19417, 540, 519, 24388, 4151, 24127, 815, 22704, 540, 519, 3490, 9943, 19417, 540, 519, 24388, 692, 7617, 649, 666, 14458, 547, 1269, 309, 284, 25105, 259, 309, 284, 25105, 780, 2971, 6657, 2055, 692, 7462, 7726, 476, 272, 692, 8340, 519, 4320, 540, 519, 4137, 3254, 780, 7462, 7726, 476, 273, 692, 13706, 519, 24388, 3254, 538, 519, 6516, 780, 272, 269, 1548, 568, 519, 3337, 540, 519, 3490, 540, 713, 24388, 2496, 13640, 5537, 6945, 692, 288, 692, 31590, 4120, 692, 289, 692, 305, 624, 4120, 692, 290, 692, 306, 13645, 692, 291, 454, 273, 269, 4855, 519, 1858, 540, 519, 24388, 781, 3490, 780, 274, 269, 4855, 519, 4320, 540, 519, 24388, 780, 2162, 595, 2643, 785, 619, 692, 288, 12718, 568, 1360, 2147, 547, 513, 24388, 630, 21955, 585, 519, 14694, 3068, 1070, 865, 519, 4320, 666, 581, 1336, 1210, 519, 1482, 1523, 649, 723, 2907, 19927, 780, 24127, 540, 513, 12718, 454, 4399, 3667, 346, 24127, 540, 595, 2643, 5407, 476, 4151, 24127, 540, 595, 2643, 5407, 1269, 284, 259, 284, 4399, 3667, 346, 22704, 540, 12476, 476, 4153, 9392, 20728, 346, 3891, 697, 540, 2398, 1143, 4151, 22704, 540, 12476, 6398, 3891, 697, 540, 2398, 1143, 4399, 3667, 346, 24127, 540, 595, 2643, 5407, 476, 4151, 24127, 540, 595, 2643, 5407, 1269, 284, 259, 284, 4399, 7032, 678, 317, 273, 24585, 554, 259, 11027, 337, 273, 9943, 327, 4399, 3667, 346, 24127, 540, 595, 2643, 5407, 476, 4151, 24127, 540, 595, 2643, 5407, 1269, 284, 259, 284, 4399, 7032, 678, 317, 273, 327, 259, 11027, 337, 273, 327, 692, 2971, 6657, 2055, 692, 7462, 7726, 476, 274, 692, 13706, 519, 4396, 3254, 538, 519, 6516, 780, 272, 269, 1548, 568, 519, 3337, 540, 519, 3490, 540, 713, 4396, 2496, 290, 2643, 5407, 692, 288, 692, 306, 2438, 22511, 692, 289, 692, 305, 624, 4120, 692, 290, 692, 290, 22511, 692, 291, 454, 273, 269, 4855, 519, 3169, 1858, 540, 519, 4396, 781, 3490, 269, 23680, 1109, 20365, 2626, 538, 2474, 540, 4399, 7032, 259, 11027, 780, 274, 269, 4855, 519, 3169, 4320, 540, 519, 4396, 269, 1109, 32306, 707, 2626, 538, 2474, 540, 4399, 7032, 259, 11027, 780, 7462, 7726, 476, 275, 692, 8340, 519, 4320, 540, 519, 12718, 17031, 547, 1079, 8918, 4025, 780, 1012, 15531, 606, 7164, 2427, 2016, 519, 4320, 692, 15919, 649, 1522, 917, 519, 4320, 540, 513, 24388, 855, 649, 616, 7508, 835, 6482, 971, 607, 519, 519, 3259, 610, 4463, 269, 4635, 6498, 267, 649, 666, 960, 23651, 689, 519, 4542, 547, 1265, 856, 519, 7508, 1871, 780, 2690, 1383, 281, 2094, 513, 13306, 814, 3160, 3259, 267, 8700, 543, 4463, 267, 952, 649, 917, 922, 4320, 1287, 1109, 933, 666, 960, 856, 922, 2427, 3259, 676, 2921, 519, 13306, 3597, 540, 519, 4320, 610, 6998, 6000, 834, 1432, 1871, 16611, 676, 3294, 1269, 274, 259, 274, 2053, 786, 3160, 519, 2016, 4320, 286, 6231, 2971, 4518, 539, 1383, 692, 7462, 7151, 692, 288, 14328, 24388, 814, 513, 4320, 540, 1269, 20065, 259, 20065, 1109, 9492, 274, 267, 543, 814, 513, 3259, 540, 1269, 2420, 259, 2420, 1109, 1417, 22015, 637, 543, 8700, 540, 1269, 276, 259, 276, 1109, 1417, 22015, 637, 269, 1548, 568, 519, 4463, 540, 519, 24388, 2496, 13914, 281, 634, 4320, 568, 3259, 16611, 676, 8700, 16611, 676, 4463, 269, 1677, 1265, 606, 7164, 1871, 649, 991, 547, 7941, 519, 4320, 676, 519, 1634, 2418, 269, 1284, 666, 2328, 713, 18005, 538, 606, 3830, 543, 30337, 519, 3830, 547, 1265, 519, 4463, 780, 2710, 1384, 1269, 309, 259, 309, 1269, 284, 259, 284, 1269, 299, 24585, 654, 24585, 670, 259, 299, 9943, 310, 9943, 295, 3503, 519, 4542, 269, 1269, 20065, 259, 20065, 1269, 284, 259, 284, 1269, 2420, 24585, 276, 24585, 670, 259, 2420, 9943, 276, 9943, 295, 15240, 3482, 538, 1634, 2418, 269, 1269, 20065, 259, 20065, 1269, 284, 259, 284, 1269, 8099, 295, 259, 8099, 295, 22217, 1518, 519, 1318, 1688, 2427, 269, 4399, 2765, 346, 20065, 2410, 8099, 4151, 20065, 8099, 25991, 1269, 284, 259, 284, 4399, 2765, 346, 8099, 295, 2410, 8099, 4151, 8099, 295, 8099, 25991, 19147, 1312, 5011, 676, 1269, 8099, 259, 8099, 269, 1269, 295, 259, 295, 1269, 284, 259, 284, 1269, 274, 259, 274, 22217, 1518, 519, 9889, 1801, 692, 2171, 666, 1294, 602, 519, 24388, 814, 513, 4463, 540, 1269, 274, 259, 274, 4699, 780, 2971, 6657, 2243, 692, 7462, 7726, 476, 276, 692, 288, 24388, 814, 513, 4320, 540, 1269, 31275, 259, 31275, 4699, 274, 780, 2252, 621, 814, 513, 3490, 1858, 540, 1269, 8099, 259, 8099, 4699, 273, 267, 1265, 519, 4463, 540, 519, 24388, 269, 0, 305, 580, 573, 23301, 692, 427, 375, 379, 454, 305, 580, 573, 23301, 692, 763, 14461, 23301, 568, 513, 7344, 2203, 602, 568, 1031, 547, 2491, 15914, 1949, 269, 1323, 17062, 14461, 23301, 568, 513, 476, 274, 8820, 14461, 1843, 267, 971, 607, 513, 1283, 269, 1677, 7259, 971, 606, 1843, 538, 2230, 1614, 7285, 616, 2838, 269, 589, 2027, 14461, 23301, 568, 519, 5276, 23301, 799, 568, 513, 476, 273, 8820, 1843, 267, 8506, 1079, 7285, 547, 4766, 922, 10066, 269, 1323, 1383, 540, 513, 5276, 23301, 568, 513, 1019, 30061, 11140, 269, 2859, 2489, 6675, 899, 1216, 630, 553, 2096, 13240, 23301, 1070, 20342, 630, 22131, 13240, 23301, 1070, 610, 15655, 630, 4944, 17202, 23301, 264, 616, 476, 274, 8820, 267, 1294, 8760, 540, 6675, 780, 763, 5276, 23301, 692, 763, 5276, 14461, 23301, 2203, 5161, 540, 1079, 1448, 13999, 4092, 693, 6378, 9883, 689, 741, 4099, 540, 2527, 269, 634, 6378, 3845, 1063, 519, 1079, 13999, 543, 519, 2418, 540, 519, 13999, 616, 519, 1152, 4162, 540, 519, 14461, 2203, 269, 1717, 267, 585, 1082, 4890, 1019, 520, 15299, 713, 2203, 568, 1932, 25516, 2094, 9883, 616, 2356, 711, 4625, 6378, 269, 4856, 516, 2388, 593, 519, 14461, 2203, 666, 581, 1500, 547, 22771, 585, 1507, 7648, 538, 519, 3845, 269, 4634, 538, 971, 513, 2013, 519, 14461, 23301, 2203, 568, 513, 3730, 1448, 540, 22576, 630, 10045, 1054, 19195, 2203, 6393, 763, 8106, 5276, 14461, 23301, 692, 763, 8106, 5276, 23301, 5161, 540, 1079, 1448, 13999, 544, 272, 543, 544, 273, 630, 5976, 4389, 2527, 4399, 14153, 815, 1422, 2765, 31551, 318, 272, 332, 318, 273, 2410, 332, 318, 272, 266, 332, 318, 273, 4151, 264, 1142, 693, 513, 3845, 681, 269, 634, 23301, 568, 14461, 952, 681, 568, 4830, 540, 942, 269, 634, 10252, 14670, 923, 540, 513, 5276, 14461, 23301, 568, 2356, 4330, 676, 1797, 540, 20085, 8701, 10974, 267, 799, 1106, 513, 11282, 1062, 540, 681, 274, 269, 769, 519, 6323, 15007, 519, 10974, 616, 519, 1071, 2000, 520, 3363, 630, 7999, 603, 264, 5086, 4399, 9064, 22773, 8961, 519, 19976, 630, 1794, 574, 3578, 264, 5086, 4399, 12534, 12978, 20867, 259, 543, 519, 3845, 681, 269, 634, 7285, 14574, 519, 10066, 540, 519, 23301, 538, 2230, 269, 634, 15452, 1648, 570, 540, 519, 5276, 14461, 23301, 568, 2016, 676, 692, 259, 273, 307, 815, 1422, 14153, 681, 317, 273, 315, 15927, 1496, 315, 25346, 3189, 9064, 11892, 273, 266, 7268, 25346, 315, 12534, 12978, 315, 12101, 7562, 24592, 8203, 273, 315, 15927, 24557, 1422, 14153, 681, 317, 273, 1422, 15927, 7268, 25346, 3189, 9064, 4153, 282, 20939, 1422, 25346, 3189, 12534, 12978, 348, 1422, 19136, 264, 1422, 8218, 32413, 348, 476, 272, 1299, 476, 271, 8607, 476, 271, 1299, 1422, 7562, 317, 273, 1422, 9064, 8607, 1422, 754, 32413, 348, 1422, 8218, 32413, 348, 1422, 25346, 3189, 9064, 27874, 1422, 25346, 3189, 12534, 12978, 348, 1422, 754, 32413, 348, 815, 1422, 14153, 1422, 19136, 7268 ]

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

[ 1592, 9852, 777, 17301, 267, 535, 18667, 14061, 20889, 263, 12887, 21875, 825, 2132, 1509, 692, 3698, 1820, 8548, 655, 9852, 655, 2187, 825, 1820, 263, 3299, 8339, 21860, 9852, 777, 19304, 267, 1509, 21875, 13872, 3698, 2196, 318, 32491, 9852, 655, 2187, 825, 26099, 815, 476, 271, 454, 825, 1247, 6936, 912, 1038, 26099, 815, 2196, 318, 13318, 2315, 9852, 655, 267, 26099, 994, 1038, 952, 26099, 568, 7183, 912, 2018, 2736, 692, 3698, 1566, 13892, 318, 5417, 9852, 655, 267, 26099, 2187, 825, 1509, 314, 332, 655, 314, 335, 322, 266, 274, 14963, 815, 1509, 314, 332, 655, 314, 335, 322, 266, 272, 14963, 1341, 1509, 314, 332, 655, 314, 335, 322, 266, 273, 27663, 825, 2132, 26099, 266, 275, 692, 3698, 1566, 13892, 8548, 738, 17586, 9852, 655, 267, 26099, 2187, 825, 1509, 314, 332, 655, 314, 335, 322, 266, 274, 14963, 815, 1509, 314, 332, 655, 314, 335, 322, 266, 272, 14963, 2608, 1509, 314, 332, 655, 314, 335, 322, 266, 273, 27663, 825, 2132, 26099, 266, 275, 692, 3698, 1566, 13892, 318, 1410, 527, 9852, 655, 267, 26099, 2187, 825, 2132, 7183, 692, 258, 16849, 7193, 540, 1985, 6044, 267, 610, 7183, 952, 1982, 1058, 14827, 454, 3698, 2196, 318, 13318, 2315, 9852, 655, 267, 26099, 2187, 825, 1566, 322, 3941, 815, 13634, 1038, 476, 272, 281, 1566, 13892, 318, 5417, 2676, 1038, 476, 273, 281, 1566, 13892, 8548, 738, 17586, 2676, 1038, 476, 4200, 281, 1566, 13892, 318, 1410, 527, 2676, 825, 7684, 692, 825, 1566, 13892, 815, 1509, 314, 335, 322, 2639, 825, 952, 1566, 13892, 711, 538, 1566, 322, 3941, 912, 1038, 6318, 1401, 4003, 6600, 262, 1103, 20777, 1566, 13892, 281, 2715, 641, 13892, 348, 5073, 825, 2132, 1566, 322, 3941, 314, 641, 13892, 28488, 332, 655, 267, 26099, 2020, 5035, 14840, 25284, 14818, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 2196, 15305, 4311, 267, 3403, 267, 3977, 2187, 1038, 2196, 318, 32491, 9272, 994, 1038, 1582, 27863, 9272, 267, 3977, 2020, 825, 1219, 1449, 318, 14725, 318, 32491, 4311, 2187, 1038, 1582, 269, 14725, 15305, 8443, 272, 267, 271, 267, 271, 267, 271, 267, 4200, 3910, 1496, 273, 267, 271, 267, 271, 267, 271, 267, 4200, 7481, 1038, 1582, 269, 14725, 15305, 8443, 273, 267, 274, 267, 271, 267, 274, 267, 4200, 3910, 1496, 273, 267, 274, 267, 271, 267, 277, 267, 4200, 7481, 1038, 1582, 269, 14725, 15305, 8443, 273, 267, 275, 267, 275, 267, 276, 267, 4200, 267, 271, 3910, 1496, 273, 267, 275, 267, 275, 267, 276, 267, 4200, 267, 280, 3199, 272, 7481, 1038, 1582, 269, 14725, 15305, 8443, 272, 267, 272, 267, 272, 267, 275, 267, 4200, 267, 276, 267, 277, 267, 271, 267, 4200, 3910, 1496, 1789, 267, 272, 267, 272, 267, 275, 267, 273, 267, 276, 267, 277, 267, 271, 267, 4200, 20285, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 263, 1410, 527, 25716, 2020, 825, 1976, 8548, 655, 815, 1224, 17750, 4590, 825, 585, 10902, 538, 2039, 263, 271, 267, 476, 1911, 2187, 1038, 585, 8231, 538, 2039, 263, 271, 267, 476, 1911, 2187, 2018, 1509, 815, 1976, 8548, 655, 6983, 4878, 4590, 2018, 1509, 314, 272, 316, 815, 10902, 454, 2018, 1509, 314, 273, 316, 815, 8231, 454, 2018, 2196, 318, 32491, 9852, 655, 2020, 2018, 952, 1509, 314, 271, 316, 2652, 476, 3422, 3445, 278, 736, 912, 3546, 1820, 263, 1911, 2608, 10902, 1341, 8231, 994, 0, 3698, 27353, 318, 30185, 16325, 2187, 825, 678, 339, 815, 1003, 454, 825, 1247, 1003, 13843, 476, 272, 912, 1038, 678, 339, 815, 678, 339, 2608, 630, 11133, 910, 476, 272, 994, 1038, 1003, 20699, 476, 272, 454, 825, 2132, 678, 339, 7531, 3698, 27353, 23631, 15479, 542, 16325, 2187, 825, 952, 1003, 10922, 476, 273, 912, 1038, 2132, 1003, 454, 825, 3116, 912, 1038, 2132, 27353, 23631, 15479, 542, 16325, 910, 476, 272, 264, 2608, 1003, 7531, 258, 9717, 513, 1297, 715, 2132, 519, 4994, 1871, 540, 519, 25828, 5311, 2676, 258, 1141, 519, 5311, 568, 912, 258, 476, 271, 267, 272, 267, 272, 267, 273, 267, 274, 267, 276, 267, 279, 267, 1724, 267, 2641, 267, 4097, 267, 4649, 267, 8660, 267, 13893, 19601, 16482, 3698, 4017, 20906, 318, 30185, 16325, 2187, 825, 513, 267, 536, 815, 476, 271, 267, 476, 272, 454, 825, 585, 9041, 538, 2039, 16325, 910, 476, 272, 2187, 1038, 513, 267, 536, 815, 536, 267, 513, 1341, 536, 454, 825, 2132, 536, 7531, 3698, 4017, 20906, 23631, 15479, 542, 16325, 2187, 825, 952, 1003, 2999, 476, 273, 912, 1038, 2132, 1003, 454, 825, 3116, 912, 1038, 2132, 4017, 20906, 23631, 15479, 542, 16325, 910, 476, 272, 264, 1341, 4017, 20906, 23631, 15479, 542, 16325, 910, 476, 273, 9239, 258, 25956, 513, 1599, 602, 10941, 525, 513, 5569, 1210, 454, 258, 21767, 543, 1287, 16571, 542, 2336, 3698, 9258, 23919, 318, 28375, 9272, 23919, 2187, 825, 20328, 23919, 815, 834, 4840, 825, 32102, 815, 1592, 9272, 23919, 994, 825, 1247, 32102, 912, 1038, 20328, 23919, 815, 20328, 23919, 1341, 32102, 21014, 4590, 825, 2132, 20328, 23919, 7531, 3698, 9258, 23919, 23631, 15479, 542, 9272, 23919, 2187, 825, 952, 7003, 9272, 23919, 264, 2652, 476, 272, 912, 1038, 2132, 3403, 23919, 454, 825, 3116, 912, 1038, 2132, 3403, 23919, 15631, 272, 316, 1341, 9258, 23919, 23631, 15479, 542, 9272, 23919, 11468, 268, 272, 7481, 0, 5814, 19523, 19638, 692, 3698, 1224, 8548, 777, 318, 16059, 10031, 825, 5727, 1607, 1599, 946, 519, 1224, 4786, 3977, 543, 838, 2830, 519, 1239, 547, 1079, 1592, 3490, 593, 519, 2197, 13892, 454, 1038, 543, 476, 18419, 519, 21336, 17473, 454, 1038, 1287, 1045, 5803, 519, 2301, 520, 601, 626, 547, 2285, 519, 3803, 1267, 454, 1038, 18452, 3898, 281, 322, 14394, 1422, 339, 630, 341, 728, 1355, 282, 12248, 787, 282, 12248, 787, 13892, 994, 1038, 19243, 3898, 281, 2301, 520, 601, 626, 17338, 272, 267, 4289, 273, 264, 3097, 4449, 11434, 1592, 272, 543, 1592, 273, 538, 3898, 630, 322, 14394, 267, 341, 728, 1355, 267, 12248, 787, 267, 12248, 787, 13892, 994, 825, 29185, 825, 1239, 17342, 2639, 825, 585, 1899, 538, 19523, 14714, 19734, 912, 1038, 8509, 626, 284, 1467, 14714, 8692, 14061, 20889, 19629, 339, 5602, 1038, 3877, 4289, 284, 339, 6374, 626, 314, 272, 4940, 29328, 14061, 20889, 2891, 282, 5602, 1038, 1007, 1467, 17342, 339, 6374, 626, 314, 271, 3910, 30956, 5661, 4289, 314, 271, 3910, 30956, 5661, 4289, 314, 272, 3910, 30956, 5661, 4289, 314, 273, 27663, 1038, 1239, 6910, 28956, 1467, 2020, 825, 1592, 272, 17342, 2639, 825, 1592, 273, 17342, 2639, 825, 454, 825, 1948, 838, 2830, 519, 1239, 547, 1079, 1592, 3490, 593, 519, 2197, 13892, 18419, 519, 21336, 17473, 3097, 825, 585, 4737, 538, 1239, 912, 2018, 952, 4737, 314, 274, 316, 2525, 257, 272, 257, 543, 4737, 711, 538, 1592, 272, 912, 3546, 1592, 272, 6910, 21405, 994, 2018, 8640, 4737, 314, 274, 316, 2525, 257, 273, 257, 543, 4737, 711, 538, 1592, 273, 912, 3546, 1592, 273, 6910, 21405, 994, 825, 2301, 520, 601, 626, 17338, 272, 267, 4289, 273, 2020, 692, 3698, 2301, 520, 601, 626, 17338, 272, 267, 4289, 273, 2187, 825, 5727, 1607, 1599, 1224, 519, 8638, 689, 1224, 8548, 777, 318, 16059, 543, 524, 659, 738, 324, 519, 1267, 454, 1038, 18452, 3898, 281, 4289, 272, 267, 4289, 273, 454, 1038, 19243, 3898, 281, 8597, 326, 800, 282, 20135, 281, 2338, 282, 1086, 550, 538, 2197, 273, 269, 3097, 7386, 454, 825, 8173, 825, 7121, 338, 17342, 2639, 825, 3708, 582, 2643, 626, 17342, 2639, 825, 3803, 8217, 17342, 2639, 825, 1007, 8217, 273, 17342, 2639, 825, 2034, 6831, 14394, 338, 17342, 6540, 825, 1948, 1205, 519, 2197, 2012, 540, 2197, 272, 543, 2197, 273, 454, 825, 2197, 272, 284, 4289, 272, 314, 271, 6012, 273, 2639, 825, 2197, 273, 284, 4289, 273, 314, 271, 6012, 273, 6540, 825, 1948, 1265, 799, 4737, 540, 630, 341, 8721, 539, 267, 7121, 264, 540, 1592, 273, 568, 849, 538, 1592, 272, 454, 825, 585, 4737, 538, 1592, 273, 912, 1038, 4737, 314, 273, 24557, 12248, 787, 272, 454, 1038, 4737, 314, 274, 316, 6889, 272, 4840, 1038, 952, 4737, 538, 1592, 272, 912, 2018, 1007, 8217, 273, 6910, 21405, 994, 2018, 2034, 6831, 14394, 338, 6910, 21405, 314, 271, 20285, 825, 1948, 2322, 782, 519, 6688, 538, 1592, 272, 1927, 607, 606, 5044, 8931, 825, 585, 1899, 538, 1592, 272, 912, 1038, 7121, 338, 6910, 263, 1467, 314, 271, 20285, 825, 1948, 1265, 519, 2189, 6688, 454, 825, 3708, 582, 2643, 626, 284, 3553, 6262, 14394, 338, 2020, 825, 1948, 585, 1169, 7121, 1265, 519, 1293, 1297, 538, 1312, 7121, 338, 543, 2034, 6831, 14394, 338, 454, 825, 1948, 865, 649, 723, 519, 2053, 540, 3381, 7678, 532, 538, 519, 1312, 1079, 2197, 1759, 593, 519, 7121, 454, 825, 1948, 5173, 519, 3803, 1267, 543, 4558, 519, 3977, 607, 2838, 3898, 538, 3803, 8217, 454, 825, 585, 524, 622, 538, 3708, 582, 2643, 626, 912, 1038, 1293, 15893, 284, 322, 14394, 338, 29644, 6262, 622, 994, 1038, 2034, 15893, 284, 16149, 6831, 14394, 338, 29644, 6262, 622, 994, 1038, 2600, 284, 16149, 15893, 11305, 870, 15893, 265, 1911, 454, 1038, 1007, 1467, 284, 322, 622, 266, 21968, 257, 266, 1598, 6262, 870, 15893, 11924, 21968, 257, 266, 1598, 263, 1037, 263, 704, 1417, 267, 272, 4297, 266, 257, 260, 4840, 1038, 3803, 8217, 6910, 28956, 1467, 2020, 825, 1948, 1820, 519, 1267, 547, 519, 3977, 3758, 454, 825, 585, 3688, 538, 3803, 8217, 912, 1038, 3877, 284, 19477, 21858, 2891, 282, 5602, 1038, 1820, 5560, 564, 5661, 314, 271, 27994, 21968, 2698, 281, 834, 266, 30956, 5661, 314, 272, 27994, 21968, 834, 266, 30956, 5661, 314, 273, 27994, 257, 538, 834, 266, 12248, 787, 273, 266, 257, 315, 333, 257, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1224, 8548, 777, 318, 16059, 4590, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 32046, 593, 774, 340, 2904, 476, 2764, 476, 736, 281, 866, 281, 4391, 476, 1708, 271, 5897, 287, 10461, 281, 13924, 753, 16852, 14977, 698, 328, 1477, 18851, 1477, 1012, 11730, 540, 513, 15214, 12106, 1477, 5814, 11885, 607, 5286, 1477, 3698, 562, 8967, 1877, 24127, 5560, 574, 267, 621, 337, 8029, 825, 1293, 18425, 318, 4944, 1877, 815, 476, 271, 5897, 825, 585, 1293, 538, 2039, 263, 527, 337, 8029, 1038, 11282, 815, 5286, 20179, 26509, 6134, 8987, 272, 269, 271, 267, 476, 272, 269, 271, 267, 3897, 3418, 1038, 2343, 284, 11282, 2608, 11282, 1477, 1038, 3845, 815, 5286, 27904, 3799, 768, 3418, 1038, 952, 3845, 2999, 476, 272, 269, 271, 6769, 2018, 1293, 18425, 318, 4944, 1877, 6834, 476, 272, 5897, 825, 2132, 630, 273, 269, 271, 1262, 323, 574, 264, 2608, 630, 12248, 18425, 318, 4944, 1877, 1315, 621, 337, 3418, 2745, 3488, 22704, 540, 17781, 284, 3299, 562, 8967, 1877, 24127, 263, 273, 267, 476, 1911, 1822, 17903, 2745, 3488, 24127, 540, 476, 1015, 5937, 14523, 619, 335, 1877, 284, 3299, 562, 8967, 1877, 24127, 263, 1015, 267, 476, 1911, 1822, 4297, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 12163, 14756, 503, 12916, 510, 4970, 353, 14748, 30837, 508, 419, 358, 374, 476, 7511, 421, 497, 378, 23989, 8147, 23989, 419, 353, 374, 4970, 353, 14748, 30837, 508, 420, 368, 509, 7511, 10533, 368, 12255, 12486, 14395, 481, 10524, 361, 30006, 493, 12916, 491, 12255, 21211, 421, 25693, 15159, 418, 490, 487, 419, 483, 356, 20881, 484, 31365, 7511, 25913, 19764, 493, 11858, 502, 417, 480, 357, 7511, 8147, 23946, 370, 4970, 498, 30006, 493, 14748, 420, 488, 480, 30536, 9463, 359, 420, 25693, 11858, 502, 417, 480, 357, 13601, 12916, 491, 12255, 21211, 12486, 692, 13644, 371, 12916, 510, 16533, 484, 4970, 353, 14748, 12255, 25203, 372, 20693, 510, 8147, 23946, 370, 23284, 25203, 372, 12571, 490, 25051, 351, 19764, 493, 13213, 498, 18713, 508, 22047, 23989, 419, 353, 374, 25520, 7511, 421, 497, 378, 23989, 12486, 692, 12916, 510, 23746, 23284, 417, 479, 485, 18777, 378, 30522, 353, 29072, 12255, 21211, 476, 271, 476, 18263, 489, 14035, 500, 8147, 30244, 4970, 353, 14748, 12255, 421, 25693, 21251, 25263, 504, 23284, 476, 271, 19764, 478, 14035, 368, 12486, 692, 23521 ]

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

[ 910, 324, 269, 276, 630, 529, 6697, 547, 476, 272, 269, 13301, 269, 607, 789, 4766, 519, 7274, 540, 1978, 17205, 269, 616, 2687, 547, 519, 1455, 11673, 789, 1683, 269, 276, 1040, 3534, 1073, 268, 571, 1019, 269, 634, 840, 6570, 632, 568, 1031, 1063, 1984, 11252, 2048, 332, 11669, 685, 543, 513, 10902, 1373, 18886, 281, 796, 1984, 11252, 632, 546, 6759, 331, 4100, 2048, 272, 2929, 9489, 9957, 1401, 269, 956, 316, 2048, 1492, 2352, 1568, 685, 634, 28944, 2630, 269, 1547, 610, 538, 513, 27901, 538, 519, 13737, 1106, 269, 524, 1329, 1984, 2158, 632, 4356, 656, 525, 2048, 1911, 6634, 11317, 9957, 25206, 1606, 559, 316, 2048, 534, 4277, 1433, 685, 2048, 320, 2352, 960, 685, 11968, 5391, 4592, 703, 31013, 656, 525, 314, 32221, 5391, 268, 4592, 538, 14482, 3146, 1606, 534, 2389, 525, 316, 2048, 1492, 4277, 2835, 685, 11968, 1073, 6652, 546, 881, 3796, 1496, 32221, 1073, 268, 6652, 1019, 269, 1039, 606, 910, 338, 610, 910, 525, 269, 524, 4532, 340, 31980, 586, 19448, 533, 1221, 6652, 11313, 7906, 10007, 9957, 1677, 1106, 519, 12683, 269, 769, 1603, 856, 5053, 27766, 269, 862, 553, 616, 1031, 538, 1747, 540, 5712, 269, 13301, 269, 5530, 873, 1134, 543, 1451, 547, 4766, 538, 5053, 281, 476, 272, 563, 1889, 268, 549, 316, 1496, 572, 3766, 684, 28273, 316, 1496, 614, 7308, 268, 549, 316, 1496, 330, 8705, 3562, 316, 1496, 7219, 3562, 316, 1496, 572, 802, 3562, 316, 1496, 572, 335, 2389, 328, 269, 1889, 268, 571, 737, 5055, 5498, 316, 1496, 601, 1768, 268, 750, 1612, 268, 571, 4732, 693, 519, 1439, 540, 1142, 2262, 269, 1247, 519, 1547, 5055, 316, 1496, 320, 6122, 269, 2215, 3266, 5302, 1495, 334, 1768, 1356, 334, 524, 22115, 334, 844, 20041, 694, 868, 334, 521, 2946, 696, 24982, 12354, 822, 334, 562, 8576, 334, 26955, 322, 24982, 25460, 8784, 898, 256, 1496, 3064, 269, 3534, 316, 2048, 28049, 685, 2048, 23389, 685, 2048, 300, 1410, 4618, 685, 2048, 6635, 7217, 15687, 685, 1547, 2006, 316, 22176, 2006, 320, 1496, 1889, 3620, 328, 268, 6390, 5991, 334, 316, 5165, 545, 3570, 1496, 541, 10275, 1156, 2389, 328, 6230, 334, 316, 1677, 31418, 1176, 5457, 3245, 519, 2262, 3119, 2495, 1101, 19171, 547, 2296, 2262, 2034, 2422, 782, 28375, 281, 3791, 543, 1768, 1356, 334, 19923, 520, 549, 568, 476, 275, 269, 8072, 1084, 685, 2048, 3240, 1101, 1362, 685, 2048, 1492, 3791, 5037, 685, 21007, 2215, 5028, 804, 848, 4432, 1768, 1356, 533, 5451, 337, 571, 325, 334, 1496, 14741, 17028, 269, 2817, 640, 269, 1452, 1913, 1533, 519, 22874, 610, 1747, 540, 5169, 269, 4256, 12683, 3029, 616, 2813, 676, 4946, 1547, 338, 610, 1547, 525, 269, 1879, 1031, 607, 851, 540, 4408, 269, 7224, 316, 1488, 1326, 2088, 1496, 525, 1790, 320, 268, 5500, 334, 269, 543, 602, 789, 2049, 1354, 519, 17205, 269, 476, 274, 269, 334, 1106, 568, 24940, 6230, 334, 316, 1496, 758, 2389, 320, 8686, 334, 316, 1496, 7224, 269, 519, 2262, 519, 568, 711, 12261, 538, 5053, 269, 8745, 476, 272, 560, 476, 273, 526, 476, 274, 6113, 476, 275, 628, 476, 276, 628, 476, 277, 628, 476, 278, 628, 476, 279, 628, 476, 280, 628, 476, 1015, 628, 1401, 269, 21634, 6559, 21540, 1495, 334, 269, 273, 269, 971, 607, 21634, 6559, 4083, 630, 1348, 607, 2048, 293, 601, 6559, 519, 2034, 685, 1040, 3534, 316, 1496, 1889, 3620, 328, 268, 6390, 268, 3534, 316, 1496, 541, 10275, 1156, 2389, 328, 269, 8754, 18502, 269, 2742, 8807, 334, 316, 11872, 281, 12339, 24100, 3029, 540, 519, 1657, 29039, 2338, 946, 519, 21879, 1547, 18103, 1400, 10606, 269, 1358, 616, 12683, 1242, 676, 4946, 1547, 634, 3029, 29194, 2048, 14140, 685, 543, 1768, 1356, 2048, 628, 2273, 685, 666, 581, 1031, 1354, 24940, 13737, 17205, 269, 711, 1310, 269, 5457, 602, 789, 849, 3858, 609, 519, 17205, 1373, 9168, 538, 2474, 540, 4008, 543, 1297, 269, 557, 5991, 334, 316, 1496, 1372, 6253, 328, 269, 25385, 320, 10722, 565, 22176, 2006, 11204, 334, 14861, 3626, 1496, 525, 1790, 320, 268, 5500, 565, 316, 25385, 320, 10722, 7637, 1496, 320, 6122, 269, 3092, 1040, 1247, 524, 22115, 334, 568, 476, 275, 628, 3245, 5824, 30883, 639, 2048, 325, 633, 9110, 1091, 685, 14520, 3587, 3023, 1341, 547, 3245, 5824, 31027, 655, 2048, 572, 1597, 685, 3245, 5824, 12354, 822, 639, 2048, 324, 12915, 685, 3245, 5824, 562, 913, 332, 2048, 333, 710, 685, 3245, 5259, 632, 6390, 269, 5901, 538, 2247, 602, 519, 3490, 1106, 630, 23719, 21879, 264, 543, 1547, 2034, 269, 1452, 21371, 5815, 519, 1931, 538, 799, 1945, 4386, 630, 14140, 18502, 1106, 568, 519, 21522, 11218, 563, 3534, 1073, 268, 571, 1965, 1790, 320, 268, 5500, 334, 2000, 320, 316, 13121, 5391, 4592, 1965, 11985, 10722, 3421, 1496, 323, 657, 5391, 268, 4592, 1965, 1790, 320, 268, 5500, 334, 269, 543, 2408, 1310, 519, 17205, 269, 2048, 26211, 685, 2048, 20791, 685, 2048, 628, 514, 685, 2048, 572, 15383, 685, 2048, 1872, 569, 685, 2048, 335, 3233, 685, 2048, 21112, 685, 2048, 338, 869, 685, 2048, 3832, 777, 685, 2048, 9767, 978, 262, 1520, 16633, 602, 3277, 547, 2681, 616, 7396, 2630, 281, 1547, 2523, 950, 596, 1616, 707, 19700, 547, 4605, 856, 1018, 596, 2461, 6158, 827, 269, 5633, 316, 1496, 532, 3766, 548, 1606, 320, 316, 1496, 325, 3757, 7308, 1606, 320, 316, 1496, 3873, 1790, 334, 16250, 1606, 320, 316, 1496, 334, 2000, 534, 11546, 1606, 320, 316, 1496, 1602, 2389, 340, 269, 613, 1606, 320, 316, 1496, 514, 28273, 16250, 1606, 320, 316, 1496, 25206, 269, 956, 316, 13121, 1073, 6652, 1965, 11985, 10722, 15614, 1496, 323, 657, 1073, 268, 6652, 1965, 1790, 320, 268, 5500, 334, 2000, 553, 316, 476, 275, 269, 15605, 316, 2672, 21289, 1496, 532, 3766, 956, 316, 16016, 956, 320, 1496, 325, 3757, 2389, 1127, 316, 25845, 320, 1496, 3873, 1790, 334, 268, 5886, 316, 808, 777, 2158, 320, 1496, 334, 2000, 534, 17393, 316, 4591, 663, 525, 320, 1496, 1602, 2389, 340, 20193, 6501, 334, 5696, 553, 850, 25123, 661, 326, 760, 857, 334, 2672, 714, 334, 769, 6921, 15530, 8071, 15530, 808, 777, 517, 15530, 4591, 663, 15530, 9929, 340, 15530, 1473, 517, 15530, 27208, 1496, 328, 268, 2145, 3917, 320, 5991, 334, 316, 7969, 320, 1496, 3630, 1606, 328, 269, 972, 616, 5053, 21371, 540, 22874, 602, 798, 711, 723, 2189, 21522, 3029, 269, 1325, 1729, 700, 14417, 9835, 324, 717, 867, 334, 10507, 10964, 1729, 12844, 17010, 22656, 4437, 26408, 681, 5451, 3671, 334, 2961, 334, 966, 773, 14765, 1496, 531, 3562, 316, 1496, 24882, 269, 2998, 316, 1496, 28699, 11546, 316, 1496, 326, 528, 28273, 316, 1496, 525, 1532, 601, 3562, 316, 1496, 2692, 5991, 328, 3562, 316, 1496, 686, 10275, 334, 316, 1496, 2421, 523, 316, 1496, 571, 1790, 328, 28273, 316, 1496, 6390, 268, 549, 316, 1496, 341, 6614, 269, 2471, 316, 9929, 1132, 320, 1496, 514, 28273, 268, 5886, 316, 10582, 320, 1496, 25206, 269, 1597, 316, 2048, 869, 269, 7381, 685, 2048, 14075, 685, 2048, 26171, 685, 2048, 325, 520, 685, 2048, 16435, 2658, 685, 2048, 2041, 2246, 3814, 685, 2048, 5341, 685, 2048, 16591, 685, 2048, 9724, 685, 2048, 19763, 685, 2048, 1245, 685, 645, 26953, 23634, 334, 3212, 4302, 25123, 5548, 326, 5964, 11557, 344, 3171, 334, 623, 984, 516, 5689, 30766, 334, 4446, 6737, 808, 8576, 1496, 9346, 3620, 334, 316, 1496, 330, 528, 3562, 316, 1496, 701, 268, 651, 268, 5500, 334, 316, 1496, 23437, 3766, 320, 28273, 316, 1496, 572, 3620, 328, 316, 1496, 10623, 3917, 334, 316, 1496, 335, 984, 3146, 316, 1496, 7356, 316, 1496, 6352, 3562, 316, 1496, 9346, 268, 571, 3562, 316, 1496, 14833, 269, 548, 268, 5500, 320, 316, 1496, 324, 268, 1222, 6253, 807, 316, 1496, 1873, 328, 269, 1619, 971, 607, 281, 6480, 15606, 684, 573, 1619, 2052, 611, 1329, 572, 1401, 269, 14833, 316, 2048, 14683, 269, 548, 268, 5500, 334, 316, 5696, 553, 850, 29823, 1496, 324, 268, 1222, 6253, 1470, 316, 661, 326, 760, 25556, 1496, 1873, 328, 269, 1496, 525, 2389, 320, 1673, 657, 268, 340, 5991, 328, 1673, 523, 5498, 316, 1496, 6390, 268, 3534, 1673, 344, 523, 5498, 316, 2048, 13563, 685, 2048, 4692, 6598, 685, 2048, 320, 5053, 1433, 685, 2048, 320, 5053, 960, 685, 2048, 18314, 5053, 2835, 685, 2048, 18314, 5053, 1568, 685, 796, 5391, 549, 25385, 320, 10722, 565, 19448, 1073, 571, 1965, 11985, 10722, 7637, 1496, 684, 5391, 268, 549, 1965, 1790, 320, 268, 5500, 565, 316, 1496, 340, 269, 1452, 616, 1913, 596, 946, 547, 4766, 17205, 269, 2993, 1790, 328, 5991, 334, 316, 21309, 2088, 1496, 328, 268, 2145, 3917, 320, 268, 3534, 316, 1496, 3630, 1606, 328, 269, 29149, 1520, 16633, 269, 1358, 3858, 609, 519, 17205, 789, 12189, 538, 2474, 540, 1297, 543, 4008, 269, 1452, 616, 519, 1913, 602, 1439, 538, 1547, 2993, 1790, 328, 268, 3534, 316, 2048, 2005, 6501, 685, 2048, 24154, 7588, 1014, 685, 2048, 292, 5118, 1014, 685, 2048, 18933, 1170, 685, 2048, 12626, 685, 2048, 23210, 685, 2048, 30153, 685, 2048, 29804, 1633, 685, 2048, 21545, 1872, 12956, 685, 2048, 5715, 2158, 1014, 685, 2048, 23742, 760, 3626, 685, 1717, 563, 569, 334, 316, 1496, 3534, 268, 3757, 269, 3873, 316, 1496, 15879, 268, 571, 28273, 316, 1496, 15879, 3146, 5991, 334, 316, 2048, 18872, 685, 2048, 19990, 685, 2048, 344, 3641, 685, 2048, 528, 1052, 685, 2048, 20580, 921, 685, 2048, 323, 1046, 685, 2349, 534, 1723, 10162, 14765, 7638, 1372, 28266, 631, 1551, 11252, 1849, 16619, 1496, 4565, 534, 10275, 334, 316, 1496, 549, 3620, 334, 316, 1496, 591, 11546, 316, 1496, 549, 1606, 320, 316, 1496, 3405, 268, 1258, 316, 1496, 330, 5055, 268, 549, 316, 2048, 19009, 685, 2048, 1042, 685, 2048, 13582, 685, 2048, 335, 1074, 685, 2048, 321, 3497, 685, 2048, 2775, 685, 1520, 16633, 602, 3277, 547, 6492, 543, 1426, 616, 7396, 2630, 281, 667, 592, 576, 2549, 14417, 5548, 545, 3930, 334, 2836, 1304, 324, 6184, 6403, 3671, 334, 1496, 323, 592, 12991, 1122, 549, 10897, 592, 2549, 541, 21034, 715, 15546, 10937, 5651, 5964, 2859, 7224, 1496, 10864, 268, 549, 316, 1496, 320, 22271, 592, 316, 1496, 320, 2173, 320, 268, 686, 269, 25334, 612, 633, 543, 23227, 894, 1520, 16633, 13885, 334, 316, 1496, 21542, 2000, 320, 28273, 316, 1496, 7032, 10275, 534, 14482, 316, 1496, 325, 686, 269, 630, 8269, 518, 547, 3817, 476, 2767, 547, 476, 2764, 269, 4303, 476, 275, 585, 519, 5750, 540, 5053, 21770, 264, 1452, 21371, 2097, 1354, 519, 17205, 789, 12189, 13885, 334, 316, 2048, 338, 712, 685, 2048, 15680, 1399, 685, 2048, 4944, 5390, 685, 2048, 322, 1245, 685, 476, 276, 269, 634, 4865, 633, 543, 3087, 894, 21770, 649, 723, 6594, 4505, 538, 713, 1576, 666, 581, 2808, 21371, 950, 789, 1599, 607, 1110, 13294, 540, 17205, 269, 2147, 547, 519, 1259, 789, 616, 1031, 538, 2296, 281, 11465, 8732, 320, 2048, 3240, 2777, 31677, 316, 2048, 338, 11548, 685, 1496, 320, 2173, 541, 30559, 316, 2048, 4226, 614, 685, 1496, 1372, 2000, 328, 6253, 14623, 27940, 316, 2048, 23437, 5534, 685, 1496, 32039, 3917, 523, 14482, 316, 2048, 14653, 685, 1496, 514, 1606, 328, 1790, 328, 28273, 316, 2048, 339, 770, 6804, 685, 3397, 26369, 6428, 5964, 20266, 14397, 674, 26369, 1496, 698, 268, 686, 10200, 1965, 657, 9279, 1127, 2048, 29006, 6517, 685, 4586, 11034, 532, 873, 609, 968, 296, 2661, 693, 2560, 892, 610, 968, 296, 786, 2097, 936, 1310, 2560, 892, 28611, 269, 543, 1711, 3347, 1063, 873, 269, 2953, 6165, 540, 840, 21752, 568, 2556, 547, 1451, 538, 1931, 547, 581, 2111, 547, 4431, 5265, 269, 634, 1739, 1592, 2982, 519, 1034, 1455, 3283, 2059, 609, 930, 2596, 1806, 281, 2776, 21752, 513, 1496, 1695, 316, 1884, 525, 632, 1496, 534, 2389, 525, 632, 316, 536, 26953, 1496, 9346, 3620, 334, 316, 524, 2075, 320, 632, 1496, 750, 268, 6390, 632, 316, 598, 1496, 330, 517, 316, 15333, 1496, 330, 517, 13652, 316, 632, 1496, 1372, 316, 12791, 2048, 1729, 685, 2048, 520, 685, 2048, 2421, 1797, 540, 685, 2048, 29592, 8072, 2048, 8974, 685, 2048, 333, 792, 685, 2048, 5976, 685, 2048, 28785, 560, 685, 6201, 513, 3288, 524, 328, 644, 611, 513, 15255, 512, 637, 586, 2923 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6124, 1382, 4947, 856, 540, 772, 6195, 781, 744, 16988, 12298, 13464, 949, 1491, 519, 1699, 1412, 326, 1245, 3044, 262, 585, 2295, 17901, 547, 513, 1007, 1377, 540, 10727, 563, 288, 2319, 540, 3173, 693, 772, 289, 4596, 781, 9839, 4406, 557, 13437, 6997, 630, 295, 309, 12195, 264, 814, 2919, 513, 1259, 547, 2087, 2949, 1973, 2095, 998, 519, 17901, 267, 865, 519, 1374, 540, 7344, 2295, 17901, 786, 811, 5702, 6474, 519, 1483, 3364, 563, 257, 8601, 811, 982, 476, 2412, 1296, 540, 1382, 267, 649, 616, 1869, 31743, 519, 3804, 540, 2870, 7344, 2295, 17901, 602, 1685, 9846, 543, 16900, 3330, 519, 1480, 1560, 2437, 6941, 3220, 269, 670, 14508, 15011, 13758, 328, 267, 606, 12314, 7548, 693, 519, 3427, 540, 7177, 543, 1291, 11001, 585, 519, 22671, 12195, 269, 834, 763, 1259, 1973, 12599, 998, 519, 1560, 568, 1360, 2189, 547, 513, 1268, 781, 17550, 267, 865, 513, 1412, 821, 20695, 13352, 782, 262, 11896, 814, 2141, 1044, 513, 1483, 4161, 4799, 300, 2129, 13758, 328, 267, 2059, 609, 25719, 2875, 1488, 11017, 13225, 1638, 541, 267, 814, 2919, 606, 5499, 7344, 23925, 2378, 2280, 602, 6087, 519, 7344, 2295, 11896, 547, 1599, 1175, 899, 519, 1483, 3364, 269, 589, 23925, 2378, 2280, 11896, 4534, 1079, 12931, 1844, 983, 6978, 7410, 602, 22141, 593, 31963, 4534, 568, 513, 7344, 24891, 602, 2636, 5812, 1973, 32704, 543, 5849, 519, 2095, 568, 538, 835, 4287, 269, 383, 373, 454, 2414, 1224, 519, 2407, 2376, 267, 4945, 1934, 269, 0, 11321, 476, 1556, 267, 476, 1708, 272, 5788, 715, 27197, 32732, 2600, 540, 519, 3441, 729, 11911, 547, 519, 23329, 269, 634, 3790, 4611, 689, 519, 13091, 543, 23329, 538, 3567, 4805, 941, 6059, 693, 1269, 13136, 5479, 20430, 269, 634, 3441, 2306, 519, 476, 1001, 272, 4279, 5101, 3567, 13091, 543, 23329, 519, 1034, 7199, 2067, 9568, 538, 1686, 563, 297, 7246, 5106, 958, 21697, 20381, 543, 15027, 2534, 2429, 519, 2197, 543, 2152, 4143, 21855, 543, 1344, 547, 11574, 3441, 3361, 676, 12469, 1644, 547, 16767, 267, 20016, 600, 529, 543, 15027, 26706, 269, 32495, 820, 3892, 1472, 3567, 630, 3422, 271, 268, 1001, 272, 264, 16424, 540, 32495, 1389, 543, 3038, 1707, 540, 6176, 269, 1677, 6895, 16767, 267, 808, 7246, 13333, 606, 13091, 8343, 3060, 16922, 540, 827, 476, 1220, 17688, 21106, 543, 476, 7785, 20381, 8515, 7397, 563, 13356, 476, 1789, 267, 476, 1708, 271, 5788, 476, 276, 269, 272, 2173, 1725, 3363, 844, 820, 16716, 3567, 1323, 13091, 7893, 476, 276, 269, 272, 593, 519, 6762, 614, 4336, 13351, 3567, 781, 594, 8663, 13403, 840, 2739, 675, 593, 13723, 267, 519, 4365, 8116, 1767, 267, 4946, 602, 1100, 23329, 9963, 729, 9783, 563, 305, 2358, 909, 547, 476, 1789, 3952, 630, 1015, 7397, 264, 1657, 519, 23795, 267, 519, 23329, 2813, 676, 713, 13091, 729, 4767, 2429, 513, 2647, 1858, 2059, 519, 7256, 540, 3567, 781, 5032, 543, 3361, 3441, 689, 17578, 15843, 24499, 547, 717, 9655, 690, 1177, 4673, 269, 476, 1911, 1004, 4503, 741, 2729, 547, 519, 23329, 267, 1519, 23772, 718, 4070, 4600, 543, 11824, 2998, 619, 269, 769, 2698, 267, 476, 10441, 1004, 941, 7166, 563, 9802, 476, 4905, 267, 476, 1708, 272, 5788, 631, 12011, 698, 328, 840, 2739, 675, 13455, 5230, 3441, 538, 519, 14042, 476, 280, 269, 272, 9588, 844, 820, 543, 23329, 602, 2451, 811, 982, 476, 1240, 267, 1822, 1004, 4666, 543, 3361, 513, 15835, 6658, 693, 519, 30738, 2313, 9874, 667, 2967, 24734, 6046, 2030, 563, 268, 476, 5379, 3813, 454, 268, 3967, 24380, 1676, 4132, 338, 454, 1805, 3994, 844, 820, 695, 1389, 3567, 282, 5634, 7063, 267, 1100, 2101, 3441, 269, 21041, 2776, 12401, 4741, 269, 1879, 596, 3643, 1022, 3896, 267, 621, 949, 4558, 610, 23074, 1344, 593, 707, 11422, 267, 6140, 538, 519, 1106, 540, 12897, 269, 901, 1344, 1522, 581, 827, 596, 267, 707, 7375, 610, 707, 3926, 543, 568, 6140, 1031, 547, 1118, 519, 3135, 960, 607, 596, 2503, 621, 547, 563, 5415, 982, 476, 1428, 267, 4335, 1004, 5747, 269, 634, 23329, 849, 16094, 524, 23774, 548, 546, 519, 5989, 540, 519, 2197, 269, 769, 1840, 547, 519, 5215, 540, 10032, 5321, 267, 4213, 267, 9897, 267, 543, 7841, 1811, 267, 519, 23329, 3361, 519, 15835, 6658, 540, 1614, 6046, 19720, 521, 693, 519, 30738, 2313, 9874, 667, 2967, 24734, 17437, 5295, 7233, 269, 0, 18850, 2683, 610, 29881, 1216, 666, 581, 1031, 1510, 14495, 1101, 269, 2353, 824, 1216, 1058, 581, 23017, 1101, 267, 1519, 782, 824, 4420, 1194, 1216, 543, 782, 7148, 1216, 563, 1432, 4523, 952, 596, 14974, 30341, 1216, 888, 3528, 14495, 519, 1216, 267, 6886, 543, 824, 23606, 616, 6569, 267, 6028, 519, 30341, 1216, 538, 513, 2048, 335, 25033, 685, 1533, 269, 5221, 540, 713, 267, 930, 1004, 3494, 6704, 30341, 1216, 666, 948, 2973, 572, 519, 1560, 689, 11991, 6464, 563, 9989, 30341, 1216, 1011, 1712, 950, 23017, 888, 291, 3041, 290, 4785, 31064, 269, 5940, 2683, 1216, 786, 2760, 14974, 269, 898, 786, 11613, 2706, 17742, 538, 519, 17196, 543, 1011, 1712, 538, 707, 3068, 563, 4692, 30341, 1216, 1332, 4551, 888, 4517, 2899, 621, 779, 8118, 267, 581, 2386, 547, 2673, 621, 909, 1134, 1310, 946, 269, 15742, 17900, 666, 1332, 1256, 538, 8770, 1790, 3233, 30341, 1216, 563, 3674, 6704, 30341, 1216, 1434, 585, 707, 14401, 888, 18850, 2683, 1216, 18274, 525, 519, 1560, 998, 5009, 2635, 8459, 1599, 563, 3963, 14495, 568, 2838, 609, 30341, 1216, 888, 1607, 1570, 2636, 5714, 547, 979, 998, 267, 855, 621, 18788, 6070, 543, 23606, 269, 5940, 20746, 1630, 2812, 519, 1216, 267, 543, 1287, 7873, 5151, 519, 9252, 1394, 883, 513, 5277, 547, 4894, 23606, 543, 6886, 563, 3674, 2826, 320, 1216, 30341, 888, 19322, 320, 22012, 1216, 568, 711, 519, 1482, 607, 30341, 1216, 269, 5940, 2683, 18788, 782, 519, 6886, 267, 855, 2826, 320, 1175, 12086, 621, 585, 6492, 543, 9329, 267, 9427, 20841, 676, 1210, 513, 23315, 6882, 269, 31598, 2826, 320, 22012, 1216, 1131, 1869, 2014, 519, 3043, 7777, 7452, 2094, 6886, 616, 1869, 538, 519, 1216, 563, 3963, 596, 1058, 2760, 17196, 1216, 888, 12850, 630, 29671, 264, 1058, 2760, 581, 12699, 538, 513, 17196, 14089, 269, 2560, 1403, 519, 1216, 568, 536, 22981, 610, 20220, 1042, 267, 621, 779, 2614, 540, 513, 8710, 547, 2014, 519, 18616, 547, 6385, 1106, 543, 519, 1267, 568, 606, 1011, 5317, 5277, 602, 568, 9470, 3429, 3905, 563, 3963, 596, 12582, 1406, 14974, 1216, 538, 519, 17196, 888, 2467, 723, 1044, 5359, 540, 1004, 1373, 13676, 950, 1210, 513, 17196, 547, 14974, 1216, 269, 901, 568, 1317, 1216, 12699, 538, 513, 17196, 14089, 666, 581, 12699, 1657, 922, 3339, 14495, 1448, 630, 27273, 515, 730, 1040, 2560, 634, 1216, 666, 849, 1011, 1712, 952, 596, 1039, 513, 8869, 267, 971, 607, 6995, 267, 610, 606, 1843, 547, 13489, 621, 563, 3674, 14580, 8491, 1216, 3983, 585, 596, 888, 22517, 4979, 1216, 538, 519, 17196, 568, 10375, 543, 2922, 269, 634, 1505, 568, 1655, 1031, 950, 8022, 1507, 9424, 540, 1216, 267, 607, 14580, 2314, 666, 15814, 3002, 19514, 569, 269, 4340, 547, 1699, 1382, 267, 1100, 2942, 1072, 2360, 616, 2404, 609, 14495, 1216, 538, 519, 17196, 563, 9989, 8118, 30341, 1216, 979, 3983, 888, 18850, 2683, 1216, 267, 899, 824, 2010, 540, 1216, 267, 1281, 711, 979, 3983, 610, 27253, 269, 2560, 1924, 267, 1247, 707, 1216, 786, 711, 979, 3983, 267, 621, 666, 1831, 13572, 267, 1818, 621, 22247, 547, 4235, 269, 4634, 952, 596, 1544, 547, 946, 30341, 1216, 585, 824, 5301, 824, 982, 6704, 267, 649, 8969, 602, 596, 1131, 1616, 547, 946, 13572, 1216, 563, 9989, 30341, 1216, 6146, 8290, 888, 18850, 20746, 3927, 18788, 22803, 7135, 971, 607, 8407, 630, 548, 611, 1070, 24277, 267, 543, 824, 562, 7572, 766, 5536, 971, 607, 4401, 543, 21052, 689, 513, 598, 268, 512, 3133, 730, 1216, 3761, 269, 634, 14495, 1184, 849, 19754, 14471, 971, 607, 4551, 543, 930, 8290, 563, 4692, 596, 1118, 6995, 609, 30341, 1216, 888, 2690, 10750, 6995, 267, 513, 5934, 7777, 1543, 540, 476, 5611, 268, 1220, 2694, 829, 2929, 568, 1898, 547, 513, 1434, 10868, 269, 4826, 29779, 982, 713, 786, 1267, 538, 4617, 543, 8137, 1652, 6995, 269, 1280, 17611, 637, 810, 267, 596, 1058, 946, 30341, 1216, 563, 1432, 2681, 568, 10729, 950, 707, 14401, 616, 17528, 888, 2691, 14401, 616, 17528, 267, 519, 2799, 5834, 543, 13250, 540, 6878, 538, 10729, 1291, 547, 513, 18632, 2681, 799, 949, 581, 6960, 267, 2699, 610, 13711, 269, 634, 2681, 1689, 568, 1813, 547, 9402, 3940, 610, 4006, 267, 1164, 2157, 540, 2699, 543, 3043, 1973, 2281, 267, 543, 1164, 2338, 540, 8546, 11057, 5536, 1572, 10408, 5641, 338, 563, 1432, 568, 519, 1072, 5006, 1216, 547, 4235, 888, 268, 5345, 1014, 269, 6693, 268, 29321, 331, 2946, 26192, 5020, 269, 6693, 268, 1325, 330, 13824, 4826, 476, 6434, 269, 4634, 1498, 972, 729, 1100, 4013, 1867, 593, 519, 2298, 540, 1325, 330, 13824, 4826, 476, 6434, 630, 2793, 306, 6395, 304, 281, 310, 9898, 1070, 519, 6216, 6585, 13068, 22443, 267, 799, 18715, 3106, 540, 513, 1587, 269, 6693, 268, 3794, 864, 879, 12829, 4826, 269, 901, 968, 8243, 691, 892, 1216, 568, 4986, 2027, 267, 865, 621, 4667, 269, 6693, 1724, 16068, 7549, 4344, 269, 476, 1001, 280, 28314, 563, 1432, 568, 519, 1655, 1216, 547, 4235, 888, 16032, 15788, 281, 3647, 550, 807, 594, 517, 1242, 4826, 454, 10497, 550, 807, 4826, 779, 9357, 1242, 4420, 1194, 1216, 568, 606, 5140, 1587, 269, 898, 779, 2922, 267, 2973, 267, 16919, 1390, 267, 543, 814, 782, 519, 1318, 22783, 269, 898, 779, 513, 2706, 12737, 539, 543, 9357, 1242, 22279, 1216, 602, 779, 22012, 998, 513, 28106, 1184, 602, 1625, 5809, 3647, 550, 807, 779, 1216, 267, 1818, 621, 476, 4200, 269, 280, 260, 6986, 269, 0, 1607, 2243, 593, 519, 1158, 2679, 3135, 17275, 1250, 7279, 593, 2436, 649, 1223, 1294, 4191, 540, 606, 954, 6549, 12519, 10340, 269, 634, 2243, 3294, 3927, 12134, 2436, 713, 568, 2009, 585, 938, 1378, 14925, 269, 4595, 519, 27305, 10158, 568, 476, 1911, 1769, 344, 8986, 2066, 267, 543, 14322, 972, 568, 606, 9813, 1582, 18187, 908, 3684, 5827, 540, 10707, 693, 476, 272, 260, 540, 524, 267, 1287, 621, 1131, 581, 2111, 547, 3935, 1125, 519, 2898, 14925, 538, 827, 476, 1015, 19282, 1296, 2285, 610, 1491, 269, 901, 568, 513, 6263, 2179, 540, 942, 538, 519, 6264, 1686, 540, 519, 7122, 865, 621, 781, 693, 2547, 26363, 563, 4913, 950, 596, 8831, 713, 2219, 547, 954, 6549, 12519, 9883, 621, 3533, 3587, 4652, 29342, 1043, 269, 634, 3845, 547, 519, 1656, 668, 20364, 14925, 568, 476, 273, 19282, 1769, 1296, 543, 519, 8700, 540, 519, 2199, 2706, 743, 13831, 568, 476, 8099, 19282, 269, 13488, 1782, 891, 9883, 693, 476, 272, 260, 524, 1131, 1491, 519, 3003, 2085, 540, 519, 7122, 2483, 3383, 593, 547, 1250, 2243, 281, 568, 621, 2009, 547, 3035, 4376, 2673, 547, 476, 3199, 260, 540, 519, 3432, 540, 1769, 1210, 14965, 6351, 689, 519, 3109, 9475, 28835, 519, 4099, 540, 938, 14925, 888, 296, 1810, 1405, 917, 538, 1469, 875, 8904, 20674, 960, 865, 594, 723, 1100, 2856, 1018, 519, 12145, 2188, 616, 267, 855, 1577, 781, 8263, 649, 723, 6634, 540, 1296, 547, 942, 621, 856, 543, 513, 18232, 642, 6578, 540, 476, 272, 260, 519, 3432, 540, 1769, 563, 7712, 519, 5818, 5673, 593, 519, 16133, 547, 519, 20993, 1560, 594, 8263, 519, 7887, 19224, 548, 1131, 581, 519, 10231, 596, 1131, 723, 547, 22036, 607, 596, 1205, 6251, 547, 519, 3109, 23346, 5818, 619, 269, 1772, 972, 606, 2653, 1259, 547, 7447, 1018, 621, 1131, 1491, 888, 5278, 23040, 7219, 2979, 6645, 803, 621, 781, 10169, 26363, 912, 268, 634, 8006, 540, 519, 3109, 8559, 693, 519, 4099, 540, 938, 14925, 568, 593, 519, 1931, 540, 513, 1769, 8792, 563, 268, 898, 3217, 593, 519, 1931, 540, 476, 1015, 3764, 23960, 693, 476, 4335, 876, 326, 547, 1205, 547, 519, 3432, 540, 1769, 563, 268, 24665, 725, 593, 519, 1931, 540, 476, 4335, 876, 326, 941, 6913, 676, 519, 7841, 7784, 30384, 269, 4595, 972, 616, 930, 18747, 547, 1039, 5907, 13365, 547, 7841, 7784, 1788, 3796, 267, 594, 3513, 8263, 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 ]

[ 4752, 779, 1152, 18911, 577, 2006, 267, 968, 10190, 646, 5433, 606, 20949, 547, 3956, 16965, 609, 7772, 267, 585, 646, 4862, 519, 8325, 11523, 548, 540, 519, 8840, 8371, 607, 519, 3382, 540, 519, 8486, 5795, 1259, 282, 646, 4862, 519, 8325, 3458, 600, 540, 1928, 607, 519, 11329, 30367, 1336, 741, 1665, 6100, 2098, 541, 4752, 2663, 24616, 602, 681, 1622, 5112, 814, 3144, 856, 835, 540, 1010, 1655, 968, 323, 9233, 892, 630, 20130, 18911, 577, 2006, 1040, 901, 2982, 519, 681, 1622, 5112, 6411, 607, 606, 3662, 1317, 2098, 541, 4752, 13587, 1882, 513, 1268, 547, 741, 19319, 269, 3807, 899, 1018, 513, 795, 16331, 541, 610, 533, 6373, 1131, 798, 547, 6146, 741, 10352, 269, 1358, 1131, 1106, 513, 15972, 676, 13147, 10107, 824, 3662, 779, 20282, 7125, 547, 561, 675, 519, 10352, 547, 873, 267, 1152, 547, 581, 13881, 909, 563, 1103, 3932, 267, 681, 1622, 5112, 543, 2098, 541, 4752, 13789, 607, 3425, 676, 6029, 513, 2631, 540, 13919, 269, 681, 1622, 5112, 543, 2098, 541, 4752, 4159, 3662, 2065, 5615, 676, 11318, 824, 1480, 7919, 585, 1187, 543, 4259, 909, 20637, 547, 13587, 633, 1866, 269, 1306, 513, 3992, 267, 9400, 1230, 24274, 729, 3843, 547, 2671, 609, 1010, 3988, 602, 538, 2053, 540, 8594, 267, 3425, 786, 957, 607, 2831, 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 ]

[ 8449, 711, 835, 1732, 982, 519, 824, 6468, 616, 9090, 1732, 1055, 2221, 10738, 513, 1920, 519, 2212, 540, 519, 7622, 729, 2356, 5256, 898, 454, 287, 298, 756, 514, 568, 513, 12468, 11232, 585, 1250, 1557, 1318, 1631, 256, 2336, 268, 9995, 571, 6215, 643, 6390, 267, 2875, 7711, 17459, 20588, 454, 32452, 267, 713, 568, 519, 1655, 1557, 948, 594, 4312, 2479, 4607, 2336, 268, 6682, 341, 340, 1912, 600, 267, 2875, 7711, 772, 540, 631, 454, 2252, 594, 9364, 1634, 827, 7711, 298, 756, 514, 538, 2852, 267, 594, 1131, 723, 20335, 1454, 811, 3207, 454, 268, 23514, 590, 24065, 267, 620, 30282, 7711, 17459, 6369, 0, 288, 11765, 281, 2817, 3163, 7690, 1923, 25032, 281, 1923, 5358, 281, 590, 289, 7644, 1923, 18001, 281, 18001, 594, 1923, 13815, 2549, 870, 281, 476, 5611, 269, 876, 298, 1923, 5729, 281, 476, 1001, 271, 454, 1607, 9540, 6355, 30404, 3194, 630, 306, 289, 7644, 264, 18001, 594, 1788, 786, 6542, 519, 23250, 540, 1210, 2203, 2861, 1852, 540, 2837, 543, 2566, 585, 1984, 1047, 1718, 8755, 32319, 2718, 540, 19202, 530, 2378, 619, 269, 769, 3210, 547, 519, 3747, 585, 2479, 5488, 13365, 602, 8532, 1447, 1379, 267, 519, 2645, 585, 21753, 540, 7471, 11387, 630, 2975, 781, 264, 616, 2838, 547, 1683, 5051, 5730, 1852, 540, 519, 5663, 1184, 267, 552, 3052, 1421, 1852, 540, 519, 23644, 530, 29195, 2837, 1282, 8143, 4393, 269, 634, 5478, 540, 606, 15096, 3322, 7366, 540, 3268, 269, 2290, 540, 891, 3268, 568, 8143, 32319, 2718, 1031, 585, 17585, 656, 11852, 267, 513, 2565, 1900, 538, 15096, 13863, 5663, 269, 8921, 22831, 15096, 781, 991, 1360, 13719, 543, 23589, 15118, 2388, 602, 2154, 32319, 2718, 936, 10156, 942, 5712, 543, 693, 2362, 5210, 267, 799, 568, 711, 2009, 609, 1699, 6671, 21782, 32319, 2718, 3937, 269, 7085, 1047, 1718, 32319, 2718, 609, 24421, 539, 8755, 2000, 10102, 814, 519, 1761, 547, 2743, 519, 1007, 32319, 2718, 4170, 269, 1717, 267, 2591, 1644, 547, 10063, 322, 2225, 543, 2566, 14001, 530, 29195, 3441, 1590, 581, 7753, 1354, 8755, 32319, 531, 666, 581, 1031, 538, 1164, 31891, 5663, 269, 634, 1788, 23083, 547, 1020, 543, 5010, 1125, 513, 1852, 3301, 1587, 547, 948, 17108, 519, 5912, 540, 8755, 32319, 531, 547, 519, 19202, 2872, 269, 634, 6626, 1764, 270, 1260, 14293, 1761, 540, 713, 1788, 568, 538, 922, 2702, 547, 948, 5512, 7839, 10073, 540, 8755, 32319, 531, 1282, 19202, 530, 29195, 4393, 269, 1703, 568, 513, 1713, 1761, 585, 1984, 1047, 1718, 8755, 32319, 531, 547, 9148, 543, 5555, 5372, 6671, 17689, 2861, 21826, 26365, 14409, 630, 305, 9143, 264, 585, 930, 1271, 3268, 538, 19202, 5663, 269, 634, 681, 9143, 2344, 814, 6603, 2673, 547, 1269, 28143, 2929, 538, 476, 1220, 279, 267, 543, 568, 4397, 547, 1332, 3648, 538, 519, 2104, 269, 634, 6069, 1587, 786, 5512, 8755, 32319, 2718, 547, 2743, 519, 23773, 1184, 1852, 4170, 543, 2804, 14573, 267, 543, 948, 5912, 621, 547, 1164, 31891, 5663, 269, 901, 786, 4324, 5561, 543, 786, 538, 2490, 4324, 519, 15096, 15670, 543, 6038, 4324, 2475, 6800, 609, 4130, 267, 5488, 267, 2539, 1379, 3457, 269, 1452, 10124, 786, 1118, 513, 1713, 9295, 547, 14027, 2504, 4066, 585, 2104, 2890, 19491, 3055, 3457, 267, 799, 786, 4324, 519, 2486, 693, 1804, 563, 288, 11765, 281, 22085, 293, 1923, 25032, 281, 9208, 16827, 1923, 5358, 281, 1923, 18001, 281, 1923, 13815, 2549, 870, 281, 476, 5611, 269, 876, 298, 1923, 5729, 281, 476, 1001, 272, 454, 1607, 9540, 6355, 16743, 3194, 630, 306, 289, 7644, 264, 18001, 594, 1788, 6663, 547, 6542, 519, 23250, 540, 4028, 538, 11060, 7020, 540, 7298, 630, 332, 659, 549, 264, 12889, 593, 530, 2378, 619, 538, 19202, 2872, 269, 634, 19202, 5663, 2872, 568, 513, 2101, 23784, 547, 519, 772, 2529, 269, 4346, 269, 932, 2354, 3812, 676, 713, 2872, 616, 1031, 538, 513, 3376, 2039, 540, 3457, 1519, 7193, 338, 543, 1591, 11436, 269, 1703, 616, 827, 476, 4335, 4393, 3268, 3238, 538, 21753, 540, 513, 6093, 13863, 1210, 19421, 540, 4393, 3937, 269, 4347, 31637, 949, 581, 5189, 9170, 538, 519, 4393, 5832, 269, 901, 1788, 6952, 1804, 630, 332, 659, 549, 264, 12889, 602, 616, 7298, 547, 1480, 3750, 607, 4166, 607, 789, 2049, 269, 634, 2856, 3096, 1055, 7308, 1606, 3559, 325, 31554, 2029, 855, 10427, 3239, 4393, 6620, 547, 3713, 543, 19665, 971, 24966, 543, 2697, 14319, 547, 4368, 519, 25768, 3937, 1318, 2476, 1354, 1022, 2417, 4393, 269, 901, 1935, 786, 3648, 2569, 3790, 543, 2333, 519, 3977, 540, 535, 11274, 676, 10893, 519, 2504, 540, 3983, 13365, 269, 901, 3937, 666, 581, 17332, 2429, 519, 21753, 2030, 543, 29598, 24966, 1510, 27200, 530, 29195, 4393, 269, 22453, 10073, 540, 713, 2029, 666, 1683, 1713, 9806, 543, 1683, 519, 772, 2529, 269, 19202, 2872, 609, 513, 8013, 5413, 563, 763, 5010, 1761, 540, 713, 1788, 568, 7175, 7839, 10073, 540, 12550, 12413, 624, 7020, 693, 1169, 1900, 543, 1169, 530, 29195, 538, 19202, 5663, 269, 1703, 568, 8101, 1761, 538, 519, 19202, 2872, 585, 606, 20522, 1907, 585, 1483, 6066, 7020, 540, 12550, 12889, 1318, 693, 519, 3937, 1141, 519, 8919, 568, 6383, 269, 634, 3811, 5010, 1436, 540, 519, 6069, 8919, 7020, 1907, 786, 4217, 538, 3648, 2810, 5663, 11729, 543, 3976, 16715, 3790, 269, 634, 2518, 19202, 8919, 1673, 564, 1254, 2344, 814, 4810, 1713, 2208, 936, 519, 2250, 8717, 609, 519, 2698, 2344, 585, 12747, 1449, 3937, 4397, 547, 9765, 1269, 273, 5479, 538, 476, 1001, 271, 269, 901, 1587, 786, 1265, 946, 538, 1896, 824, 6281, 6990, 971, 607, 631, 32209, 267, 3859, 1648, 3457, 267, 10896, 267, 2584, 9582, 267, 3092, 269, 7053, 267, 2890, 19491, 16361, 5540, 3592, 1169, 2460, 540, 938, 2729, 269, 9747, 267, 513, 1587, 602, 2306, 513, 1713, 9295, 547, 16715, 519, 1942, 540, 5663, 594, 12336, 786, 9797, 1860, 519, 2486, 693, 1804, 563, 288, 11765, 281, 2817, 3163, 7690, 1923, 25032, 281, 1923, 5358, 281, 590, 289, 7644, 1923, 18001, 281, 18001, 594, 1923, 13815, 2549, 870, 281, 476, 1911, 269, 876, 298, 1923, 5729, 281, 476, 1220, 279, 454, 1607, 590, 289, 7644, 18001, 594, 1788, 786, 1020, 2203, 2861, 1852, 540, 6850, 2275, 8707, 7344, 1544, 541, 1436, 1949, 1031, 585, 2104, 5481, 540, 19202, 5663, 269, 634, 2203, 2861, 1852, 786, 6451, 2565, 1062, 1702, 547, 2087, 530, 29195, 7833, 640, 543, 1062, 998, 1584, 269, 634, 3811, 12032, 540, 713, 1788, 786, 4217, 538, 519, 10073, 1007, 30526, 3889, 585, 1985, 5108, 5907, 3457, 269, 898, 949, 849, 3986, 519, 1620, 540, 1528, 1886, 565, 5109, 543, 6850, 680, 908, 3157, 269, 26659, 540, 519, 3157, 786, 849, 2569, 13476, 6213, 3653, 563, 288, 11765, 281, 22085, 293, 1923, 25032, 281, 9208, 16827, 1923, 5358, 281, 1923, 18001, 281, 589, 3041, 299, 1923, 13815, 2549, 870, 281, 476, 273, 269, 3583, 300, 1923, 5729, 281, 476, 1001, 273, 454, 1607, 3376, 6388, 1788, 786, 1711, 513, 3318, 3060, 543, 2146, 540, 2259, 585, 7598, 24635, 595, 2378, 525, 602, 4497, 1164, 1153, 12322, 538, 13241, 269, 634, 595, 2378, 2946, 6982, 604, 1664, 2203, 585, 2502, 4079, 538, 2257, 814, 8810, 1360, 2500, 543, 814, 1044, 4922, 8045, 269, 901, 1788, 13976, 593, 513, 1007, 3811, 2203, 585, 24635, 595, 2378, 525, 8045, 936, 519, 2250, 2947, 1296, 538, 1715, 6792, 630, 10064, 293, 8366, 476, 5881, 272, 5325, 277, 273, 1916, 7021, 476, 276, 1296, 519, 2203, 786, 581, 26987, 909, 538, 5216, 3309, 4525, 2066, 519, 2197, 2519, 3226, 1141, 972, 616, 1804, 2338, 540, 26173, 12322, 269, 11759, 4891, 1331, 3163, 4065, 10298, 538, 1715, 6792, 282, 8828, 13325, 2160, 29885, 6807, 282, 519, 8419, 24635, 2233, 290, 12522, 26844, 282, 3345, 10491, 7467, 540, 7849, 3163, 282, 543, 3163, 20570, 693, 519, 2160, 540, 12548, 563, 763, 1788, 786, 1628, 4390, 585, 513, 3376, 2039, 540, 4959, 292, 543, 13241, 2950, 676, 8716, 543, 14637, 1866, 530, 5109, 547, 1376, 513, 595, 2378, 2946, 1982, 543, 6443, 519, 3060, 269, 634, 6268, 786, 1353, 519, 5222, 540, 1312, 519, 2199, 24635, 595, 2378, 2946, 4609, 607, 1134, 607, 519, 3084, 3060, 269, 634, 6268, 540, 519, 2199, 595, 2378, 2946, 4609, 786, 5659, 519, 2591, 543, 3255, 950, 4259, 909, 2199, 595, 2378, 525, 543, 875, 789, 616, 9619, 282, 875, 1134, 519, 3084, 5121, 2200, 543, 1489, 2743, 2199, 2115, 282, 543, 875, 2199, 14624, 1860, 4093, 585, 12322, 543, 3318, 9458, 269, 634, 6268, 540, 519, 3084, 3060, 6212, 593, 519, 3157, 585, 14123, 2792, 543, 2359, 2066, 519, 4609, 282, 519, 28252, 540, 519, 2200, 3177, 547, 4609, 282, 543, 519, 6940, 540, 519, 2146, 540, 2259, 563, 288, 11765, 281, 2817, 3163, 7690, 1923, 25032, 281, 1923, 5358, 281, 590, 289, 7644, 1923, 18001, 281, 18001, 4083, 1923, 13815, 2549, 870, 281, 476, 5325, 277, 269, 7597, 298, 1923, 5729, 281, 476, 1220, 280, 454, 1607, 8366, 568, 14102, 896, 519, 1977, 18401, 543, 22365, 4034, 618, 2920, 540, 476, 1220, 280, 630, 14276, 4521, 476, 9340, 268, 276, 1040, 901, 9540, 6355, 16743, 3194, 630, 306, 289, 7644, 264, 18001, 4083, 1788, 786, 1020, 513, 5010, 18634, 540, 513, 1483, 6066, 2203, 2861, 17120, 3301, 585, 1985, 22831, 11906, 5336, 324, 22817, 4643, 541, 1436, 18154, 6573, 264, 1949, 1031, 538, 19202, 530, 29195, 5663, 269, 4643, 541, 1436, 568, 606, 7175, 1900, 585, 19202, 32144, 338, 602, 568, 2565, 547, 519, 2872, 781, 5329, 909, 609, 18703, 781, 1876, 269, 8892, 2029, 9136, 540, 476, 3953, 16354, 543, 2630, 2154, 4824, 1377, 540, 2773, 538, 1544, 541, 1436, 2029, 269, 9540, 518, 7516, 543, 519, 946, 540, 811, 10347, 1970, 10275, 8874, 10460, 5051, 22608, 4170, 593, 1544, 541, 1436, 2773, 269, 634, 3811, 1646, 540, 519, 6069, 17120, 3301, 786, 948, 8831, 1544, 541, 1436, 547, 1007, 2157, 540, 2773, 585, 476, 3953, 16354, 2029, 543, 3564, 269, 634, 7601, 1544, 541, 1436, 2344, 568, 17191, 547, 3914, 1269, 279, 2190, 2929, 538, 476, 1220, 280, 267, 543, 513, 1985, 22831, 595, 6573, 17120, 1587, 786, 723, 513, 1713, 1764, 593, 519, 2104, 540, 713, 2344, 269, 634, 6069, 10124, 786, 948, 547, 17108, 519, 10073, 540, 1007, 30526, 3889, 538, 1985, 22831, 19202, 3457, 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 ]

[ 11931, 15581, 3435, 538, 1931, 547, 4612, 519, 4839, 4221, 7271, 269, 1717, 267, 607, 649, 666, 1294, 538, 519, 2539, 8440, 540, 8431, 269, 476, 1556, 267, 519, 1292, 3157, 8108, 519, 4839, 4221, 616, 6192, 1369, 476, 1911, 2395, 689, 519, 4098, 540, 519, 9819, 269, 4475, 621, 568, 17191, 602, 513, 5912, 547, 519, 4839, 4221, 4806, 4386, 1369, 519, 2053, 7051, 689, 4832, 547, 519, 1439, 540, 15489, 269, 10261, 1652, 547, 2161, 267, 513, 942, 17466, 4603, 1058, 581, 2944, 538, 1931, 547, 1174, 519, 4839, 4221, 1184, 811, 5693, 269, 4635, 1776, 2203, 267, 649, 786, 8495, 713, 1966, 538, 519, 2282, 2104, 563, 322, 269, 15863, 547, 519, 14927, 532, 11664, 454, 288, 1208, 335, 543, 513, 9668, 7936, 1020, 998, 519, 4999, 540, 519, 4744, 11692, 543, 519, 740, 557, 794, 3157, 540, 519, 5580, 2000, 9707, 11098, 269, 769, 519, 3105, 1016, 7611, 267, 519, 21341, 540, 519, 8545, 1184, 593, 519, 1267, 729, 8947, 269, 769, 713, 1016, 7611, 267, 649, 1397, 519, 21341, 540, 519, 5449, 1184, 563, 763, 9819, 568, 5340, 609, 519, 1482, 2783, 543, 6724, 630, 553, 538, 519, 2539, 8440, 540, 8431, 269, 476, 278, 264, 4849, 602, 519, 14927, 532, 11664, 568, 4957, 689, 476, 271, 269, 275, 6398, 476, 1015, 6629, 277, 521, 6629, 272, 547, 476, 273, 269, 275, 6398, 476, 1015, 6629, 277, 521, 6629, 272, 609, 519, 8884, 540, 476, 271, 269, 275, 6398, 476, 1015, 6629, 277, 521, 6629, 272, 269, 634, 32725, 540, 519, 4320, 3560, 540, 476, 273, 590, 341, 616, 3254, 538, 8431, 269, 476, 1428, 269, 898, 568, 1336, 602, 519, 4087, 540, 519, 9668, 7575, 547, 519, 2451, 607, 649, 946, 519, 4130, 14927, 532, 11664, 269, 8745, 569, 267, 519, 1267, 4485, 602, 540, 519, 835, 2000, 9707, 2203, 630, 5408, 519, 2539, 8470, 540, 8431, 269, 476, 277, 264, 950, 519, 4744, 11692, 1184, 568, 4617, 269, 4475, 513, 1804, 14927, 532, 11664, 568, 2877, 538, 1931, 547, 3132, 513, 9668, 7936, 563, 8201, 476, 1626, 2982, 519, 27754, 540, 519, 1471, 32654, 851, 540, 519, 2539, 2000, 9707, 6991, 538, 519, 2013, 540, 519, 2539, 8470, 540, 8431, 269, 476, 278, 269, 898, 568, 1336, 602, 519, 909, 16946, 630, 6658, 16946, 264, 5526, 3330, 630, 719, 2515, 264, 513, 1208, 335, 269, 1284, 666, 4612, 602, 513, 1208, 335, 267, 602, 568, 267, 513, 4965, 540, 519, 8818, 267, 11498, 883, 4478, 1858, 1813, 547, 519, 27754, 540, 519, 1471, 32654, 851, 540, 519, 2539, 2000, 9707, 6991, 4352, 519, 1459, 2203, 20475, 713, 1184, 607, 519, 968, 18528, 4288, 892, 540, 519, 5580, 2000, 9707, 11098, 1299, 3149, 336, 321, 19749, 481, 324, 519, 1101, 2165, 538, 519, 1318, 11804, 2427, 540, 26169, 269, 630, 279, 264, 4940, 901, 10522, 602, 519, 661, 330, 2006, 32137, 6991, 1175, 1657, 519, 5377, 661, 330, 2006, 4494, 568, 2838, 538, 519, 1483, 5836, 538, 1931, 547, 8831, 519, 1208, 335, 3927, 5196, 519, 15808, 563, 763, 4767, 5860, 543, 2627, 1699, 4610, 5693, 1397, 513, 9668, 7936, 540, 519, 918, 1755, 3333, 1470, 22236, 540, 19109, 2313, 340, 538, 15489, 269, 1717, 267, 519, 9668, 7936, 7106, 8986, 538, 5162, 543, 5614, 950, 513, 5266, 24267, 5860, 2497, 10953, 609, 513, 6094, 5580, 4494, 269, 901, 568, 5812, 609, 519, 2164, 540, 594, 810, 2041, 630, 1960, 280, 264, 945, 6700, 602, 519, 17578, 2313, 9874, 24953, 7351, 568, 513, 851, 540, 519, 15990, 1700, 25629, 2313, 9874, 24953, 7351, 3590, 4849, 538, 15489, 563, 288, 9183, 10451, 513, 9668, 7936, 538, 15489, 568, 24298, 2630, 269, 634, 918, 1755, 3333, 1470, 13576, 2059, 519, 15808, 9386, 7140, 547, 519, 7532, 23589, 569, 543, 3762, 519, 15808, 9386, 1472, 15480, 4673, 26463, 269, 3973, 513, 1208, 335, 568, 1500, 676, 519, 2539, 2000, 9707, 2095, 791, 15781, 593, 519, 5377, 9386, 267, 799, 568, 6829, 676, 519, 2034, 2165, 540, 519, 1318, 11804, 2427, 540, 26169, 269, 630, 279, 1040, 634, 2539, 2000, 9707, 2095, 538, 519, 1482, 4287, 540, 519, 918, 1755, 3333, 1470, 568, 2877, 538, 1931, 547, 1118, 513, 1208, 335, 972, 269, 589, 1208, 335, 538, 519, 15808, 9386, 11498, 547, 519, 13719, 15808, 3148, 1813, 547, 519, 4744, 11692, 267, 799, 6971, 519, 1283, 4919, 16061, 998, 519, 808, 292, 289, 2752, 2165, 269, 634, 3444, 28104, 984, 987, 3560, 10953, 7930, 1472, 519, 1208, 335, 14178, 547, 519, 15808, 3148, 269, 634, 3444, 28104, 984, 987, 3560, 849, 2300, 2572, 519, 1208, 335, 998, 519, 740, 557, 794, 540, 968, 342, 1301, 892, 1216, 689, 519, 2620, 15808, 9386, 269, 634, 2919, 1208, 335, 14998, 3677, 5666, 540, 519, 3444, 28104, 984, 987, 3560, 4724, 519, 15808, 3148, 267, 543, 513, 9668, 7936, 568, 4646, 563, 13295, 519, 4999, 540, 4744, 11692, 543, 740, 557, 794, 3157, 540, 519, 5580, 2000, 9707, 11098, 10953, 513, 1208, 335, 543, 922, 1644, 9668, 7936, 269, 1879, 519, 6094, 5580, 4494, 29572, 338, 519, 740, 557, 794, 1184, 538, 5162, 543, 5614, 267, 513, 9668, 7936, 7106, 8986, 269, 5047, 513, 9668, 7936, 7106, 8986, 950, 519, 4744, 11692, 1184, 568, 4617, 1210, 519, 1507, 14927, 532, 11664, 269, 4475, 267, 950, 9781, 519, 9668, 540, 519, 17578, 2313, 9874, 24953, 7351, 689, 519, 918, 1755, 3333, 1470, 22236, 540, 19109, 2313, 340, 267, 513, 2620, 7510, 322, 333, 665, 1467, 538, 519, 15808, 3148, 568, 2877, 13147, 10107, 15489, 2783, 269, 589, 2110, 2053, 7051, 540, 14927, 532, 538, 519, 13719, 15808, 3148, 568, 849, 2877, 547, 16578, 4839, 4221, 563, 763, 2278, 20475, 1010, 25442, 7064, 547, 4515, 269, 570, 269, 25463, 698, 328, 543, 6004, 269, 681, 269, 590, 269, 7195, 582, 549, 267, 19109, 2313, 340, 2160, 585, 741, 2565, 2542, 540, 519, 12377, 269, 8729, 616, 849, 6905, 547, 519, 4760, 2689, 619, 585, 3730, 10372, 593, 5355, 519, 12377, 269, 4578, 540, 519, 2627, 1699, 941, 5833, 998, 808, 7495, 290, 4578, 6732, 6796, 3590, 630, 297, 5937, 5308, 306, 264, 593, 741, 5680, 3135, 563, 17357, 22046, 532, 2278, 2232, 281, 3220, 269, 589, 1206, 7795, 27323, 594, 810, 2041, 267, 4972, 540, 3047, 3590, 3163, 543, 5303, 267, 3955, 13694, 23958, 3427, 540, 7177, 7070, 267, 19109, 2313, 340, 2160, 267, 476, 277, 268, 272, 267, 918, 553, 32256, 11860, 14535, 267, 918, 553, 32256, 267, 476, 279, 1626, 268, 5952, 279, 271, 267, 3567, 269, 0, 2005, 5654, 899, 596, 2811, 1210, 5769, 25817, 476, 1556, 610, 4587, 269, 901, 3896, 1568, 1655, 609, 2413, 26292, 971, 607, 519, 5767, 8747, 540, 24904, 267, 32288, 2135, 267, 6380, 926, 267, 543, 22750, 269, 1403, 596, 3136, 609, 713, 11422, 267, 596, 949, 1294, 6397, 2164, 563, 27269, 267, 596, 666, 946, 519, 1482, 5773, 596, 1031, 547, 1711, 707, 1382, 2243, 950, 7421, 513, 1353, 269, 1772, 519, 1353, 16460, 513, 4282, 2243, 610, 513, 32215, 2243, 286, 2052, 596, 2697, 519, 623, 2975, 302, 610, 623, 2975, 5588, 540, 519, 1353, 286, 1879, 941, 519, 4093, 540, 519, 1353, 5462, 888, 19675, 594, 2422, 901, 12754, 888, 2691, 10442, 513, 2707, 547, 3313, 952, 596, 1058, 1331, 621, 538, 707, 2079, 267, 2307, 3054, 519, 1739, 2055, 912, 9989, 519, 1353, 270, 5271, 2064, 2232, 1250, 2243, 888, 3674, 519, 2707, 6325, 888, 6701, 519, 2164, 4570, 888, 3674, 519, 12191, 3280, 888, 9989, 519, 2963, 4019, 547, 1250, 3461, 610, 2551, 888, 11749, 7190, 5288, 4039, 6636, 454, 2691, 596, 4983, 513, 1353, 267, 596, 786, 1616, 547, 3313, 952, 621, 568, 4570, 543, 6325, 269, 27814, 267, 519, 2090, 596, 946, 1058, 581, 1312, 4570, 543, 6325, 563, 11749, 7190, 910, 519, 2702, 547, 2268, 1018, 568, 9277, 547, 610, 568, 5497, 547, 581, 6027, 910, 2488, 23674, 2164, 454, 2252, 594, 2268, 1688, 4222, 267, 666, 594, 2721, 513, 3932, 827, 4987, 888, 9824, 6636, 910, 519, 2702, 547, 2268, 1018, 596, 1616, 547, 2268, 593, 7766, 2833, 454, 2252, 594, 1491, 513, 7209, 1449, 7466, 538, 513, 4737, 267, 786, 519, 2164, 581, 519, 1482, 286, 1403, 519, 1449, 568, 6325, 267, 789, 786, 2336, 4462, 516, 28754, 543, 769, 20777, 910, 6496, 711, 2268, 1018, 594, 1616, 267, 543, 519, 2164, 616, 1114, 950, 594, 10956, 519, 1449, 454, 4462, 516, 28754, 855, 4406, 573, 910, 634, 2164, 616, 22522, 543, 519, 1449, 1281, 711, 3100, 547, 2268, 1018, 594, 2219, 621, 1131, 910, 594, 3112, 2721, 513, 3932, 1759, 1055, 540, 1250, 1239, 454, 9824, 4192, 855, 769, 20777, 910, 634, 2164, 616, 5812, 950, 519, 1449, 568, 7368, 267, 855, 594, 3112, 2721, 519, 3932, 594, 2219, 594, 1223, 454, 9824, 4192, 543, 4406, 573, 910, 634, 1449, 3800, 1018, 621, 1058, 267, 543, 519, 2164, 616, 10956, 762, 630, 663, 5812, 609, 824, 7403, 994, 15862, 689, 4179, 2517, 5570, 976, 9884, 1731, 12855, 3820, 28293, 270, 17572, 281, 9824, 6636, 318, 663, 26371, 7190, 4732, 341, 326, 454, 18128, 2064, 2861, 4915, 630, 292, 13696, 264, 26779, 519, 1655, 2139, 2963, 609, 4791, 1995, 602, 2636, 19353, 547, 4363, 267, 543, 741, 2550, 547, 1118, 267, 5483, 5079, 5812, 609, 741, 2418, 269, 808, 24717, 5271, 2064, 2337, 3375, 15670, 2697, 519, 1655, 2139, 2963, 676, 3246, 10274, 547, 519, 9836, 7156, 540, 519, 14496, 267, 2956, 267, 543, 31675, 540, 6811, 827, 519, 4879, 540, 1072, 2042, 543, 519, 4093, 540, 1072, 1416, 563, 27287, 2561, 26150, 6096, 454, 21206, 2565, 813, 26150, 2645, 616, 3177, 676, 519, 10418, 585, 15845, 9122, 6925, 630, 17206, 540, 10228, 994, 4488, 308, 23905, 814, 1569, 547, 1079, 13746, 12394, 547, 4217, 11112, 24782, 630, 663, 5959, 1053, 264, 3843, 547, 3251, 1699, 609, 519, 3332, 676, 13629, 2565, 24096, 540, 5063, 3370, 1382, 269, 0, 3080, 568, 547, 513, 476, 276, 5037, 1557, 2497, 5205, 519, 2596, 1557, 267, 513, 2875, 547, 1544, 1282, 519, 1557, 269, 21261, 538, 519, 2497, 281, 2497, 269, 25947, 707, 2875, 1590, 1101, 3442, 513, 1292, 3889, 883, 799, 3594, 1246, 713, 609, 3594, 269, 3474, 320, 1557, 269, 6969, 1603, 606, 1557, 8908, 269, 16259, 585, 707, 2093, 607, 621, 949, 1683, 1883, 2243, 269, 9022, 343, 269, 5269, 606, 1557, 269, 589, 476, 276, 5037, 3898, 269, 21261, 538, 7005, 269, 1772, 2921, 538, 269, 1452, 4388, 593, 713, 3732, 1557, 666, 3391, 596, 723, 1114, 2081, 547, 2497, 602, 707, 1544, 513, 4693, 269, 21261, 894, 543, 5037, 1557, 269, 1215, 547, 513, 9135, 540, 606, 12819, 1557, 1058, 581, 4824, 286, 25947, 707, 4845, 2497, 269, 1452, 4388, 543, 5098, 269, 6969, 1603, 6280, 540, 4367, 267, 3898, 269, 2986, 606, 1557, 267, 596, 991, 547, 25657, 12819, 543, 5037, 3898, 269, 1403, 596, 998, 519, 2497, 269, 12856, 540, 2963, 602, 596, 616, 1896, 1292, 1560, 814, 3254, 269, 2986, 971, 606, 7291, 568, 1167, 27641, 835, 568, 676, 513, 2757, 4081, 269, 21261, 1557, 2497, 540, 606, 7291, 269, 16259, 585, 13387, 4255, 676, 13215, 1557, 5161, 540, 606, 12819, 1557, 7291, 269, 14268, 267, 3898, 269, 3767, 602, 12819, 3594, 269, 4828, 286, 2290, 568, 547, 4739, 707, 1557, 7291, 269, 9978, 2497, 269, 21261, 894, 3594, 476, 272, 10959, 269, 2659, 1557, 25221, 922, 2497, 585, 707, 1557, 666, 2769, 707, 1557, 267, 1292, 4661, 1557, 267, 1292, 4661, 267, 476, 6734, 24203, 476, 1001, 279, 1557, 269, 6258, 875, 568, 547, 1118, 606, 12819, 1557, 543, 2057, 17096, 2336, 763, 3974, 1557, 2497, 454, 300, 764, 14390, 344, 1143, 269, 13012, 543, 4334, 1063, 1079, 2592, 267, 519, 3594, 269, 5681, 2719, 621, 568, 1152, 476, 273, 281, 32742, 568, 4986, 563, 13625, 2497, 1032, 476, 279, 454, 1692, 547, 2328, 513, 1032, 476, 279, 269, 5153, 476, 277, 282, 476, 274, 9433, 269, 4706, 5304, 2882, 1053, 547, 723, 547, 1439, 540, 519, 5542, 540, 1032, 476, 279, 9102, 593, 513, 1434, 1557, 269, 2659, 1557, 538, 741, 1101, 1032, 476, 1556, 543, 25258, 563, 31955, 16075, 1557, 2497, 454, 296, 1413, 4464, 547, 8011, 609, 721, 269, 4804, 4099, 538, 519, 1557, 19761, 269, 14958, 532, 606, 1557, 1603, 2852, 1557, 267, 6451, 621, 563, 26855, 2163, 894, 1557, 2497, 7291, 454, 288, 4396, 1967, 4661, 4098, 593, 707, 4555, 269 ]

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

[ 476, 272, 269, 3689, 7127, 1448, 883, 1603, 568, 6643, 476, 273, 563, 763, 669, 948, 519, 4116, 547, 17492, 513, 4062, 540, 1603, 602, 2501, 689, 6643, 476, 274, 563, 291, 10735, 3400, 1407, 2813, 634, 5675, 6713, 602, 568, 1034, 4122, 1031, 538, 519, 1153, 1062, 269, 634, 5675, 6713, 568, 7768, 540, 2947, 5933, 269, 634, 5675, 6713, 568, 7768, 540, 2947, 5933, 269, 634, 2947, 5933, 616, 519, 840, 2914, 3876, 3942, 267, 26004, 267, 2847, 2358, 267, 11049, 267, 543, 519, 8313, 3942, 563, 22261, 476, 866, 267, 5788, 8191, 270, 30108, 18496, 3400, 1407, 814, 2854, 1082, 2835, 593, 3450, 1603, 267, 1519, 519, 5929, 1433, 267, 5675, 281, 11334, 543, 5753, 693, 4518, 630, 3891, 514, 655, 2335, 1040, 12606, 0, 303, 27773, 25886, 2853, 941, 711, 865, 20027, 607, 741, 2012, 267, 1185, 740, 6254, 338, 538, 7178, 5080, 9445, 267, 543, 891, 949, 723, 1044, 741, 2062, 14725, 2996, 269, 634, 9466, 1235, 941, 711, 2943, 538, 6228, 267, 543, 519, 27869, 2065, 6963, 619, 538, 519, 5783, 941, 711, 3392, 2456, 269, 13536, 593, 538, 519, 12081, 513, 23837, 568, 538, 7890, 538, 3162, 342, 1046, 269, 634, 5080, 9445, 1016, 31755, 941, 15151, 711, 865, 3982, 569, 6963, 532, 538, 6644, 607, 5507, 269, 589, 1390, 1082, 1004, 538, 3162, 342, 1046, 543, 30340, 996, 1590, 723, 1044, 4096, 1218, 2390, 3909, 8075, 543, 1390, 3235, 27036, 20292, 24284, 267, 543, 1185, 11124, 676, 519, 27072, 543, 519, 1447, 2989, 18820, 540, 519, 31967, 269, 3162, 342, 1046, 1932, 729, 711, 528, 13124, 519, 705, 1712, 540, 7606, 3186, 3482, 538, 1312, 1625, 572, 543, 1915, 267, 945, 3576, 5413, 540, 519, 20849, 22875, 540, 23118, 543, 812, 832, 543, 540, 519, 6144, 320, 268, 512, 542, 972, 547, 1118, 621, 513, 4052, 25113, 269, 634, 1004, 607, 513, 2898, 941, 9048, 31437, 269, 634, 2413, 1990, 7002, 582, 267, 540, 8726, 5428, 267, 945, 22587, 547, 519, 9551, 757, 543, 1686, 540, 519, 26746, 1974, 25864, 30877, 602, 8370, 2389, 5460, 338, 540, 519, 1004, 540, 4789, 941, 9444, 4936, 1235, 6862, 14308, 1218, 267, 607, 693, 1459, 6956, 267, 855, 4682, 547, 5939, 8449, 896, 1169, 4657, 4341, 269, 6145, 10906, 9887, 267, 2859, 267, 595, 1177, 31678, 267, 476, 272, 595, 963, 344, 267, 7083, 20999, 540, 20306, 532, 5069, 267, 7083, 8053, 6558, 543, 519, 1964, 1185, 13984, 519, 4004, 542, 3028, 896, 11977, 267, 519, 7136, 896, 6307, 543, 519, 4004, 542, 3028, 896, 10906, 269, 769, 1200, 12081, 519, 1184, 3459, 676, 799, 519, 3310, 540, 519, 20908, 7057, 543, 519, 5033, 2435, 20577, 2919, 1085, 745, 1255, 538, 519, 8186, 540, 2367, 899, 595, 963, 344, 543, 1866, 267, 799, 5828, 873, 883, 931, 2615, 1190, 973, 639, 1218, 267, 32222, 547, 7390, 519, 2296, 2533, 543, 27102, 519, 10424, 29686, 269, 4746, 519, 1184, 3459, 676, 799, 519, 4831, 3310, 540, 519, 2637, 5271, 534, 6426, 5828, 519, 2527, 540, 519, 1985, 5108, 540, 519, 1647, 5049, 883, 27869, 1235, 269, 26361, 782, 267, 538, 1200, 12081, 267, 519, 4743, 729, 2813, 799, 1500, 15984, 547, 519, 10424, 29686, 543, 1489, 540, 519, 3235, 27036, 20292, 4031, 513, 1449, 540, 32742, 269, 1809, 973, 639, 3599, 3459, 547, 1118, 922, 5920, 1851, 519, 15354, 8425, 787, 269, 1703, 729, 7899, 540, 621, 1851, 602, 5108, 538, 824, 5049, 1932, 267, 855, 789, 2451, 1447, 1665, 593, 519, 1576, 540, 1686, 269, 634, 6554, 729, 711, 1657, 2921, 5469, 540, 519, 9000, 689, 5939, 540, 9493, 1580, 543, 23194, 268, 2367, 543, 540, 2021, 267, 1498, 21246, 958, 540, 9543, 342, 1580, 269, 1677, 798, 519, 8128, 5126, 267, 519, 21991, 1903, 540, 519, 973, 639, 1218, 267, 2531, 545, 18416, 11564, 547, 3406, 585, 10703, 4705, 20577, 543, 585, 18731, 2835, 267, 17465, 540, 7916, 543, 9640, 267, 22717, 543, 1476, 4593, 725, 2968, 811, 7928, 538, 5080, 9445, 607, 519, 15372, 540, 2009, 4914, 4323, 2799, 269, 634, 1175, 1182, 941, 1360, 3742, 1310, 519, 4266, 540, 519, 853, 269, 4446, 628, 565, 727, 342, 32003, 267, 950, 8050, 543, 5333, 941, 267, 22508, 2299, 20093, 821, 3585, 267, 9277, 547, 581, 10260, 6053, 24027, 585, 519, 24057, 992, 540, 646, 637, 344, 269, 1703, 729, 513, 1007, 838, 11047, 540, 2534, 950, 2112, 609, 8050, 729, 4947, 593, 267, 1310, 519, 4049, 973, 639, 3599, 2920, 476, 4905, 265, 2537, 10906, 267, 689, 827, 476, 15647, 273, 11489, 1310, 519, 14710, 540, 519, 14022, 3385, 269, 6168, 476, 14689, 275, 972, 568, 1447, 1129, 540, 973, 639, 3599, 538, 5080, 9445, 267, 855, 621, 543, 519, 10751, 540, 621, 1705, 711, 24044, 269, 3371, 267, 607, 11992, 267, 1498, 476, 272, 11184, 7338, 595, 1177, 31678, 1185, 2893, 538, 519, 12057, 799, 17468, 13099, 531, 29686, 543, 1138, 592, 268, 512, 24345, 17956, 519, 705, 21161, 3338, 269, 1261, 3533, 3893, 936, 1010, 7965, 827, 19785, 3430, 781, 8375, 269, 1261, 729, 513, 9488, 268, 4707, 1246, 518, 540, 1010, 1378, 4690, 896, 1169, 6554, 269, 476, 4343, 274, 454, 17273, 281, 309, 6224, 5080, 9445, 476, 272, 6155, 329, 341, 340, 270, 28526, 454, 297, 2794, 547, 12445, 30180, 547, 3406, 454, 1607, 2985, 2115, 547, 581, 6169, 1348, 269, 0, 300, 1112, 584, 819, 268, 5715, 340, 1027, 1530, 714, 999, 281, 589, 27824, 4813, 540, 4676, 2716, 9210, 17952, 454, 268, 16952, 11657, 27084, 454, 268, 7348, 2353, 454, 289, 19272, 294, 4629, 26685, 281, 4676, 2716, 17465, 616, 5219, 547, 607, 3134, 850, 10364, 17465, 602, 616, 9846, 10511, 18469, 676, 513, 1808, 10444, 17003, 269, 4676, 2716, 17465, 13251, 676, 544, 1112, 584, 819, 616, 1360, 4686, 267, 543, 1906, 2665, 723, 1044, 4330, 269, 631, 24518, 7495, 306, 281, 901, 1353, 5359, 513, 2013, 540, 606, 476, 1556, 4458, 6040, 8004, 609, 17465, 1008, 12097, 676, 544, 1112, 584, 819, 609, 4704, 1500, 547, 5892, 4080, 2665, 538, 519, 3332, 269, 1530, 714, 999, 941, 6353, 676, 2212, 543, 3750, 11539, 547, 519, 1318, 267, 4827, 539, 30484, 4577, 2022, 1005, 540, 519, 2451, 5580, 18215, 267, 10137, 540, 519, 1318, 5580, 18215, 267, 543, 22638, 20902, 512, 4577, 12641, 4577, 23069, 269, 594, 551, 531, 6850, 775, 13921, 6945, 7000, 2312, 1528, 5766, 1429, 545, 4720, 689, 519, 4571, 25218, 3148, 609, 6281, 31633, 269, 25080, 16982, 9196, 540, 519, 2212, 729, 3339, 269, 1530, 714, 999, 941, 5701, 609, 513, 4999, 540, 22725, 657, 29524, 543, 804, 984, 1794, 600, 269, 12164, 12710, 4785, 12778, 306, 281, 589, 4571, 25218, 476, 1112, 531, 1445, 568, 538, 5329, 609, 3105, 5359, 540, 713, 1858, 607, 513, 1761, 3134, 850, 696, 8328, 4099, 585, 544, 1112, 584, 819, 14001, 17465, 563, 13757, 1641, 1858, 0, 763, 2923, 24834, 5507, 1185, 8806, 513, 1906, 8536, 31269, 269, 634, 1558, 24227, 729, 11303, 676, 5394, 17872, 6821, 269, 1306, 519, 2551, 8057, 267, 1004, 12306, 1524, 3544, 519, 6821, 267, 1317, 3338, 538, 519, 1558, 24227, 2968, 7199, 269, 1717, 267, 950, 972, 729, 606, 593, 16435, 4381, 267, 1004, 1427, 8972, 1394, 3330, 519, 1558, 24227, 547, 3343, 4027, 269, 18738, 519, 1558, 24227, 267, 5783, 267, 8075, 540, 519, 5763, 5006, 4961, 267, 543, 4652, 770, 2989, 4009, 11542, 538, 519, 29039, 540, 519, 1558, 24227, 269, 5221, 540, 2370, 12808, 543, 7199, 3338, 267, 1079, 610, 1614, 6989, 8075, 941, 3964, 2059, 519, 7522, 10754, 269, 8409, 8075, 17808, 856, 1034, 540, 24817, 563, 763, 1558, 24227, 1604, 729, 1100, 19455, 269, 634, 1558, 24227, 4749, 1159, 8215, 4731, 31121, 689, 606, 1493, 1373, 543, 1480, 22837, 269, 24447, 1185, 547, 3802, 5402, 2059, 519, 10754, 1317, 7452, 610, 17885, 729, 16207, 856, 689, 519, 6885, 609, 513, 9963, 3956, 547, 1780, 619, 2421, 543, 2052, 529, 5432, 1170, 543, 554, 9233, 25094, 1263, 539, 538, 519, 20549, 269, 5794, 5533, 729, 16310, 519, 26035, 1317, 7733, 941, 1031, 1169, 2897, 538, 519, 1558, 24227, 6902, 1256, 8338, 267, 20522, 1362, 338, 540, 5755, 941, 1031, 676, 14420, 15670, 267, 10085, 619, 267, 543, 1004, 945, 1223, 1875, 6488, 547, 4444, 7733, 563, 2005, 729, 22247, 538, 519, 1558, 24227, 269, 4107, 1196, 12715, 729, 538, 11308, 543, 512, 3639, 941, 1031, 547, 7298, 5982, 538, 519, 4158, 269, 4495, 11642, 3323, 267, 621, 729, 856, 540, 1852, 269, 634, 3354, 729, 16310, 519, 2816, 269, 774, 3971, 338, 543, 2759, 335, 2720, 525, 20807, 539, 519, 10754, 543, 1256, 972, 941, 4158, 29862, 338, 267, 621, 729, 2182, 1317, 519, 10754, 941, 936, 22125, 269, 1773, 6558, 729, 513, 1804, 2367, 864, 547, 5507, 518, 269, 5221, 540, 1447, 1072, 995, 267, 5507, 1185, 5185, 827, 476, 1626, 26706, 1063, 476, 16328, 279, 543, 519, 1034, 3978, 835, 729, 1572, 519, 4279, 1773, 6558, 538, 476, 14917, 276, 563, 763, 1558, 24227, 3177, 1082, 10694, 2238, 269, 1703, 941, 32702, 19194, 543, 2206, 5104, 1375, 6840, 269, 1290, 12203, 543, 10889, 9398, 13631, 519, 3214, 11504, 1247, 15731, 2813, 5559, 553, 1759, 593, 519, 6426, 6386, 563, 16908, 538, 1647, 21943, 5507, 568, 2864, 1114, 269, 634, 3638, 1223, 6488, 547, 6718, 519, 3638, 6073, 813, 732, 3149, 799, 1500, 540, 16463, 610, 16536, 6902, 6466, 267, 519, 688, 20439, 8806, 5957, 519, 9634, 610, 30465, 813, 732, 3149, 269, 769, 1039, 6823, 267, 972, 729, 1100, 10883, 1440, 28619, 610, 1129, 8595, 540, 1394, 909, 532, 1004, 945, 941, 1100, 2702, 547, 960, 267, 865, 972, 941, 1082, 3640, 619, 267, 8806, 519, 5939, 543, 5289, 5572, 2322, 532, 741, 1489, 563, 26581, 787, 543, 2871, 843, 338, 454, 763, 32134, 540, 4123, 4847, 5507, 547, 979, 540, 1104, 2578, 637, 540, 5958, 908, 5370, 543, 3376, 9165, 540, 23335, 2478, 269, 24447, 1185, 519, 1318, 547, 1118, 513, 8630, 610, 6161, 7681, 538, 519, 1558, 24227, 269, 3487, 21871, 267, 8630, 15538, 540, 23335, 23924, 543, 4739, 8243, 753, 602, 18170, 519, 1558, 24227, 269, 634, 1101, 15731, 941, 1572, 519, 23335, 16014, 15731, 269, 634, 2818, 540, 23335, 16014, 15731, 941, 519, 911, 1457, 538, 24996, 267, 15144, 267, 16536, 267, 610, 2724, 630, 4871, 3738, 1547, 1358, 13856, 13075, 2418, 543, 12587, 538, 519, 1558, 24227, 543, 9738, 519, 2298, 540, 23335, 2478, 269, 1306, 17157, 5293, 267, 519, 4739, 8243, 753, 3459, 547, 7941, 689, 23335, 16014, 15731, 543, 4646, 741, 15731, 1572, 4123, 8630, 563, 13436, 547, 21471, 15731, 267, 4123, 15731, 1305, 909, 519, 3044, 2298, 540, 519, 23335, 2478, 269, 13018, 267, 789, 9859, 827, 1169, 6712, 540, 519, 2504, 5650, 269, 2871, 843, 338, 540, 25865, 321, 2401, 267, 649, 28316, 267, 543, 17051, 19431, 338, 7307, 519, 960, 3108, 543, 2322, 13075, 2418, 543, 12587, 269, 14958, 15731, 8329, 547, 2199, 5939, 585, 544, 2056, 267, 3177, 2724, 547, 3186, 3482, 2818, 267, 543, 6976, 585, 5428, 693, 519, 21649, 8938, 21144, 3108, 269, 14958, 15731, 1305, 741, 5370, 538, 513, 8806, 13075, 1871, 267, 1317, 11745, 1944, 547, 519, 5939, 267, 621, 729, 2808, 538, 19891, 748, 547, 798, 2724, 693, 519, 771, 321, 2720, 531, 540, 824, 1004, 563, 3528, 3735, 476, 6344, 271, 338, 267, 4123, 15731, 2968, 1225, 339, 9430, 519, 7584, 269, 631, 699, 569, 519, 1367, 945, 1223, 1205, 519, 1732, 540, 543, 6192, 519, 1394, 12577, 7041, 1131, 979, 513, 4759, 269, 589, 5256, 1126, 1063, 519, 6502, 540, 476, 278, 268, 1015, 1223, 4745, 607, 15226, 269, 1323, 15226, 4121, 547, 25584, 543, 4739, 22920, 689, 741, 12103, 652, 549, 13492, 2006, 945, 16310, 513, 1368, 843, 4759, 269, 634, 6267, 941, 1875, 6976, 855, 789, 4607, 4055, 267, 813, 732, 3149, 267, 543, 10480, 689, 741, 12103, 652, 549, 563, 310, 30689, 543, 5753, 454, 763, 2937, 8951, 540, 2923, 24834, 5507, 7307, 547, 2196, 741, 513, 514, 4145, 543, 798, 519, 1920, 6009, 1247, 930, 1866, 4749, 3238, 538, 4123, 2238, 269, 634, 3638, 1299, 589, 6902, 1035, 1844, 6902, 476, 24994, 12814, 338, 6690, 941, 9310, 693, 1799, 1155, 2085, 547, 798, 7622, 598, 10811, 542, 267, 855, 25013, 2937, 8951, 7227, 2394, 519, 2085, 540, 476, 736, 338, 1317, 789, 1185, 547, 32006, 720, 3160, 2724, 547, 2322, 909, 513, 2777, 609, 741, 13398, 2421, 563, 7197 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14500, 540, 28635, 334, 538, 1744, 574, 20110, 21542, 11662, 269, 2991, 476, 8182, 271, 267, 646, 4682, 1394, 547, 28635, 6737, 630, 852, 4371, 676, 1010, 5067, 670, 9655, 3626, 16549, 600, 1080, 340, 264, 543, 5747, 972, 538, 476, 8182, 272, 563, 268, 19461, 1257, 689, 590, 1263, 18602, 4437, 7240, 9218, 630, 21579, 29718, 5025, 337, 577, 1161, 2593, 264, 674, 310, 5353, 531, 1299, 9460, 26156, 267, 476, 1220, 276, 0, 5575, 267, 3068, 547, 3068, 4205, 666, 1683, 585, 513, 811, 6209, 11505, 269, 1452, 1898, 7554, 1331, 2348, 2576, 547, 2671, 707, 4606, 543, 2093, 609, 538, 513, 1863, 2230, 1141, 9444, 5428, 666, 581, 24565, 269, 14886, 1590, 581, 2111, 547, 4163, 1142, 824, 998, 23434, 543, 581, 972, 547, 2285, 1142, 824, 4313, 950, 2877, 269, 4340, 547, 31929, 2961, 2651, 689, 26851, 5240, 543, 9012, 17290, 267, 968, 2507, 314, 615, 543, 1200, 1655, 3659, 316, 1558, 835, 1776, 2212, 6823, 609, 6457, 543, 9644, 543, 7279, 267, 543, 602, 4847, 585, 26027, 543, 513, 4493, 689, 799, 547, 11349, 513, 1483, 2631, 540, 17604, 892, 630, 10111, 549, 2483, 1862, 1647, 540, 1957, 4429, 2690, 891, 4128, 267, 513, 3068, 547, 3068, 11505, 602, 4652, 9529, 538, 513, 2168, 2230, 568, 811, 8076, 982, 17052, 602, 2611, 5097, 5691, 269, 769, 1931, 585, 606, 993, 27809, 2078, 547, 581, 9758, 543, 1279, 18835, 267, 972, 1590, 581, 2789, 2168, 4205, 269, 3414, 519, 2591, 540, 711, 1373, 2111, 547, 12492, 519, 2168, 543, 3114, 16007, 609, 1776, 1480, 1373, 267, 2348, 21603, 8847, 540, 17052, 267, 543, 5732, 1373, 13587, 1882, 267, 621, 568, 7543, 547, 723, 606, 8076, 11505, 998, 5691, 1797, 269, 8447, 15025, 609, 18825, 6038, 3029, 2556, 3929, 4296, 602, 616, 1271, 585, 1646, 269, 769, 1931, 585, 513, 9758, 11505, 547, 1106, 267, 519, 6405, 4743, 540, 12777, 2348, 2576, 972, 547, 1489, 596, 543, 3391, 596, 267, 2115, 547, 581, 1459, 2094, 621, 9090, 14753, 547, 1945, 602, 568, 513, 13766, 547, 782, 1480, 7919, 563, 23921, 5675, 6435, 888, 7476, 5955, 593, 8239, 267, 9355, 267, 6677, 1707, 543, 7954, 14678, 5861, 515, 1188, 707, 1957, 19314, 268, 634, 5769, 269, 1306, 540, 2221, 267, 1169, 25246, 540, 1480, 1272, 568, 8185, 6766, 676, 1344, 5833, 3842, 1344, 4066, 269, 634, 5769, 267, 899, 606, 17946, 14975, 19069, 267, 14767, 5318, 2200, 267, 1702, 543, 519, 2230, 547, 1711, 2709, 2409, 540, 10618, 269, 898, 1058, 581, 3015, 547, 782, 269, 898, 2636, 585, 2792, 547, 3914, 1472, 519, 1158, 267, 621, 8952, 2043, 7038, 269, 13201, 519, 12588, 547, 4194, 4655, 2653, 543, 2656, 269, 1635, 1210, 519, 4950, 267, 2043, 949, 3489, 519, 3377, 267, 1382, 267, 18563, 267, 543, 10124, 689, 3592, 1022, 5122, 3926, 2807, 1496, 15912, 281, 2622, 22453, 5680, 267, 5769, 267, 8950, 267, 19534, 2639, 14625, 275, 1913, 630, 274, 269, 274, 3817, 994, 268, 634, 2622, 22453, 5680, 568, 18594, 1819, 538, 1931, 547, 1852, 519, 8244, 547, 10363, 610, 13587, 527, 995, 1344, 4961, 723, 269, 4634, 1498, 5769, 543, 5680, 616, 16207, 1472, 30430, 538, 1082, 3871, 267, 972, 568, 513, 3017, 547, 10646, 1063, 873, 269, 634, 5769, 568, 513, 7372, 3060, 540, 5121, 27300, 1344, 1927, 267, 799, 6402, 5904, 1927, 11451, 269, 634, 1357, 568, 513, 1259, 540, 17034, 519, 1344, 2139, 593, 519, 5769, 998, 519, 2953, 3301, 9497, 6224, 300, 7169, 20257, 13689, 593, 519, 2197, 267, 24890, 666, 581, 2919, 883, 1114, 2157, 540, 3354, 2807, 1496, 15912, 281, 2622, 22453, 5680, 267, 5769, 267, 5769, 24890, 2639, 9340, 274, 1913, 630, 274, 269, 273, 3817, 994, 268, 634, 1032, 729, 476, 1220, 272, 543, 1250, 1920, 3893, 922, 1101, 1753, 2780, 543, 519, 4950, 269, 594, 729, 476, 278, 1296, 2025, 543, 594, 3314, 1373, 9599, 543, 8049, 827, 713, 9814, 1634, 607, 519, 2622, 22453, 5680, 269, 3767, 594, 6557, 476, 2641, 1296, 2025, 543, 723, 1185, 1250, 4023, 2671, 540, 4950, 1569, 602, 814, 1044, 1312, 2318, 543, 2942, 538, 1250, 1272, 267, 607, 1382, 2982, 568, 519, 2013, 585, 519, 5354, 540, 4892, 269, 898, 568, 711, 2009, 547, 5862, 519, 4950, 538, 3274, 513, 2942, 610, 2318, 1259, 607, 621, 666, 3362, 581, 9763, 538, 1312, 269, 634, 4950, 568, 4904, 609, 11995, 7399, 267, 543, 607, 513, 1106, 540, 7136, 9012, 621, 568, 538, 513, 1362, 7357, 922, 1378, 2807, 1496, 15912, 281, 5769, 267, 2622, 22453, 5680, 267, 3778, 540, 519, 5769, 2639, 13199, 279, 1913, 630, 274, 269, 276, 3817, 994, 268, 9442, 607, 2221, 18387, 1406, 1044, 519, 1482, 2094, 2063, 476, 1789, 1296, 269, 1403, 596, 4941, 547, 5968, 609, 1866, 267, 1354, 267, 707, 1152, 3681, 941, 547, 6494, 513, 4484, 267, 513, 751, 5586, 1090, 267, 2285, 513, 1289, 610, 979, 538, 1268, 269, 590, 2210, 830, 621, 3217, 942, 547, 4309, 513, 3210, 676, 4484, 269, 11910, 532, 873, 267, 855, 789, 2461, 711, 1753, 547, 2626, 269, 590, 2056, 513, 751, 5586, 1090, 949, 1942, 930, 2724, 269, 634, 2622, 22453, 5680, 267, 610, 1655, 1634, 607, 519, 5769, 814, 4547, 519, 4838, 540, 2029, 621, 1185, 1764, 875, 649, 5968, 609, 1866, 607, 2221, 269, 6969, 519, 5137, 540, 519, 2622, 22453, 5680, 2792, 729, 1114, 689, 1631, 2807, 1496, 15912, 281, 2622, 22453, 5680, 267, 5769, 267, 7033, 12672, 619, 6441, 2465, 2639, 14991, 275, 1913, 630, 275, 269, 276, 3817, 994, 268, 634, 1614, 7044, 5189, 4159, 513, 15415, 543, 519, 4720, 540, 519, 1158, 2647, 1357, 269, 22073, 609, 519, 13653, 7033, 7137, 1676, 6441, 2465, 543, 1010, 1289, 585, 6151, 1239, 3403, 547, 1964, 4450, 519, 4950, 269, 634, 3403, 540, 6151, 1239, 1964, 19099, 519, 4950, 3056, 547, 5680, 476, 273, 269, 271, 269, 5680, 476, 273, 269, 271, 568, 1141, 519, 4950, 729, 1031, 607, 513, 3760, 547, 3715, 4296, 543, 2445, 4987, 269, 5680, 476, 273, 269, 271, 1287, 19658, 519, 1646, 540, 5680, 16302, 269, 7033, 744, 685, 3725, 11035, 13653, 540, 5680, 16302, 267, 8329, 824, 4066, 971, 607, 12514, 267, 2890, 10746, 267, 543, 5100, 3457, 8329, 547, 519, 1239, 2987, 1584, 2497, 540, 519, 1357, 2807, 1496, 15912, 281, 2622, 22453, 5680, 267, 5680, 476, 273, 269, 271, 267, 5769, 267, 12054, 4842, 5680, 2639, 278, 7176, 1913, 630, 273, 269, 274, 3817, 994, 268, 2290, 540, 519, 1034, 1271, 6639, 13120, 540, 782, 942, 568, 519, 1646, 540, 519, 2622, 22453, 5680, 2442, 569, 1634, 607, 968, 4178, 892, 610, 654, 274, 269, 2142, 531, 267, 966, 269, 630, 333, 6155, 4700, 11225, 621, 607, 267, 968, 21353, 1227, 513, 1062, 540, 5769, 13763, 602, 1489, 16887, 30149, 6054, 269, 634, 6054, 616, 30149, 538, 513, 1665, 1575, 1893, 1572, 14103, 630, 29730, 17806, 4460, 1575, 5678, 264, 602, 7028, 6402, 547, 824, 6054, 267, 607, 1134, 607, 12449, 267, 8301, 267, 543, 3381, 6119, 269, 634, 2622, 22453, 5680, 630, 19986, 13763, 264, 616, 2111, 547, 5968, 998, 519, 27427, 270, 7709, 7014, 799, 568, 513, 1455, 1893, 1031, 676, 5904, 547, 5968, 538, 519, 4950, 2807, 1496, 15912, 281, 2622, 22453, 5680, 267, 5769, 267, 5680, 2985, 267, 14103, 2639, 278, 4037, 1913, 630, 273, 269, 273, 3817, 994, 268, 23095, 585, 2792, 267, 519, 4950, 267, 1312, 519, 1158, 2647, 1357, 543, 519, 2620, 1357, 267, 568, 519, 6574, 1259, 547, 10141, 1344, 1063, 2789, 5867, 269, 634, 12825, 2208, 540, 519, 4950, 1152, 2799, 922, 946, 538, 519, 1158, 267, 609, 513, 16221, 540, 3059, 2533, 267, 899, 519, 2923, 267, 4930, 267, 15473, 267, 543, 9913, 543, 1514, 5867, 267, 2523, 1000, 7867, 267, 596, 32353, 267, 3068, 1504, 267, 543, 3818, 16651, 11080, 267, 1210, 621, 607, 513, 6174, 585, 2792, 543, 10825, 1344, 267, 543, 7654, 849, 3310, 269, 634, 3096, 540, 519, 5769, 568, 1434, 547, 917, 267, 2386, 267, 855, 1018, 1281, 621, 723, 547, 798, 609, 519, 1523, 540, 7834, 2807, 1496, 15912, 281, 2622, 22453, 5680, 267, 5769, 267, 3778, 540, 519, 5769, 2639, 10441, 276, 1913, 630, 274, 3817, 994, 268, 17593, 281, 910, 769, 2221, 779, 5736, 267, 607, 649, 782, 917, 4950, 4066, 616, 3395, 6385, 269, 13966, 609, 713, 267, 14678, 267, 5680, 2985, 7840, 616, 849, 5355, 269, 634, 2832, 540, 513, 5680, 2985, 2857, 2658, 1062, 568, 547, 3589, 519, 5680, 2985, 610, 3817, 267, 799, 786, 581, 10272, 689, 513, 2016, 5680, 22240, 540, 513, 3896, 269, 4578, 840, 30112, 568, 835, 2596, 543, 1898, 851, 540, 5680, 2985, 16252, 269, 4578, 840, 30112, 5161, 540, 30749, 543, 14335, 1239, 547, 10891, 585, 25935, 4806, 269, 769, 713, 1957, 267, 649, 1865, 543, 1445, 593, 5680, 2985, 24805, 566, 543, 1909, 540, 1239, 840, 30112, 538, 5680, 2985, 16252, 267, 6236, 875, 1239, 840, 30112, 568, 1644, 547, 5680, 2985, 16252, 269, 21292, 281, 17597, 2658, 3590, 267, 5680, 1862, 1496, 15912, 281, 2622, 22453, 5680, 267, 5680, 2985, 267, 19534, 267, 5680, 7746, 2639, 280, 7761, 1913, 630, 273, 269, 279, 3817, 994, 268, 634, 4950, 568, 1945, 602, 649, 782, 946, 1169, 1554, 538, 938, 1272, 269, 898, 666, 581, 1031, 585, 11995, 7399, 899, 267, 10992, 707, 9344, 585, 1153, 267, 610, 1256, 11488, 2576, 606, 4757, 269, 5272, 7853, 3096, 519, 4950, 585, 1153, 3785, 267, 585, 960, 267, 610, 1256, 1175, 585, 707, 2123, 946, 269, 1284, 267, 607, 3425, 267, 4096, 593, 519, 4950, 865, 1454, 602, 594, 1810, 1406, 1589, 649, 666, 7639, 1510, 621, 15042, 269, 634, 4950, 814, 1044, 606, 8798, 602, 814, 711, 1152, 5280, 856, 2486, 267, 855, 814, 849, 4957, 519, 1158, 269, 634, 2622, 22453, 5680, 666, 581, 4330, 538, 1082, 2081, 2807, 1496, 15912, 281, 4950, 267, 8940, 267, 16814, 267, 1357, 2639, 276, 4366, 1913, 630, 272, 269, 277, 3817, 994, 268, 634, 2622, 22453, 5680, 968, 763, 5680, 1281, 711, 1175, 1921, 6191, 267, 621, 13462, 1004, 892, 630, 20755, 12672, 619, 6441, 2465, 1040, 7033, 12672, 619, 6441, 2465, 4941, 547, 1711, 513, 1259, 585, 21575, 547, 5968, 1344, 3362, 1063, 835, 1776, 269, 1261, 8694, 909, 2870, 835, 540, 519, 1034, 3810, 1031, 4773, 540, 3301, 593, 519, 4950, 2221, 543, 606, 11212, 11684, 1259, 540, 4687, 1344, 11451, 269, 634, 5680, 1185, 1831, 971, 513, 2462, 851, 540, 938, 4948, 2729, 602, 513, 2603, 540, 721, 1131, 711, 917, 1018, 547, 798, 1510, 621, 269, 2368, 1004, 798, 711, 4628, 1174, 1018, 519, 6478, 22453, 5680, 2965, 568, 1498, 2807, 1496, 15912, 281, 7033, 12672, 619, 267, 4950, 267, 3060, 267, 15745, 2639, 1911, 280, 1913, 630, 273, 269, 280, 3817, 264, 0, 25721, 30649, 29952, 661, 568, 3844, 547, 1973, 9067, 29952, 27921, 543, 20188, 3560, 1369, 8031, 269, 634, 5444, 630, 4338, 302, 7232, 264, 17683, 713, 3940, 568, 26340, 545, 269, 4014, 519, 6673, 302, 7232, 275, 27446, 568, 513, 1134, 28004, 1981, 3815, 585, 1312, 15466, 2068, 543, 12216, 781, 2068, 538, 454, 14006, 3146, 335, 8793, 1296, 267, 621, 949, 267, 2705, 267, 538, 1978, 4529, 11721, 29623, 12331, 267, 2709, 513, 3982, 6668, 5413, 269, 634, 1455, 6673, 302, 7232, 274, 27446, 568, 1336, 538, 782, 1480, 5095, 267, 855, 621, 568, 3226, 11342, 538, 1279, 28004, 6694, 11615, 267, 971, 607, 6414, 1472, 519, 11335, 7256, 269, 901, 24716, 609, 519, 9860, 540, 519, 6673, 302, 7232, 275, 27446, 267, 799, 568, 5207, 538, 4529, 602, 1869, 723, 606, 4346, 1759, 593, 25061, 267, 610, 1141, 1426, 3761, 568, 20437, 543, 17077, 269, 6270, 5095, 1331, 12877, 326, 332, 625, 267, 3979, 10609, 16211, 5842, 267, 14570, 1014, 543, 8241, 2806, 10594, 1149, 267, 14466, 340, 753, 267, 700, 1952, 338, 267, 543, 7111, 4892, 630, 6795, 1040, 9122, 593, 713, 3892, 267, 621, 814, 1044, 6700, 602, 519, 18577, 6673, 302, 7232, 275, 27446, 949, 581, 513, 834, 628, 17287, 1399, 257, 27446, 609, 6198, 3601, 602, 3310, 9067, 29952, 10307, 267, 1519, 8501, 2157, 538, 513, 6225, 6073, 538, 519, 3617, 18577, 1604, 269, 1717, 267, 856, 540, 741, 18577, 2796, 630, 328, 4318, 1421, 1369, 513, 4207, 1604, 1141, 5375, 11326, 543, 15325, 7173, 841, 264, 5312, 28115, 894, 3676, 811, 11593, 8915, 2933, 630, 6795, 1040, 4014, 8023, 7154 ]

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

[ 0, 7212, 16637, 1581, 1143, 729, 2760, 513, 22759, 3585, 9836, 6138, 267, 621, 1185, 8630, 676, 16080, 11107, 1317, 540, 741, 4901, 540, 737, 656, 781, 16637, 1581, 2093, 269, 5808, 941, 519, 27428, 540, 16637, 1581, 1143, 519, 16637, 1581, 8630, 267, 8385, 513, 4901, 1895, 585, 771, 26067, 5896, 1770, 4115, 26110, 543, 930, 1866, 269, 1323, 4367, 547, 519, 1898, 5515, 543, 12591, 540, 16637, 1581, 1143, 543, 3102, 538, 7829, 519, 30908, 540, 2219, 2556, 547, 1865, 519, 1888, 269, 2776, 560, 19213, 2777, 781, 5905, 7723, 16637, 1581, 1143, 568, 519, 3501, 4367, 547, 1930, 4901, 540, 519, 4798, 1053, 786, 7237, 568, 606, 1271, 1900, 269, 4033, 1271, 16637, 1581, 1235, 941, 29165, 30602, 555, 648, 879, 267, 476, 8146, 277, 602, 789, 1106, 513, 4901, 1895, 585, 771, 320, 26327, 1762, 1770, 4115, 23464, 563, 24916, 1454, 13016, 2911, 267, 519, 16637, 1581, 1235, 8032, 588, 3042, 4205, 789, 1572, 7391, 1896, 540, 891, 2443, 9188, 8282, 538, 1714, 9626, 890, 629, 1328, 781, 269, 1977, 16637, 1581, 1143, 568, 9247, 513, 2186, 540, 2259, 676, 799, 519, 1158, 540, 8630, 585, 519, 3483, 540, 18398, 4901, 540, 1699, 3584, 538, 6138, 269, 634, 646, 987, 16320, 1108, 540, 7819, 3332, 267, 2019, 476, 272, 630, 1960, 279, 264, 1281, 711, 1865, 16637, 1581, 1143, 538, 2474, 540, 22153, 267, 897, 518, 3805, 267, 610, 4984, 693, 782, 27260, 2791, 4440, 4121, 827, 16637, 1581, 1143, 538, 1164, 1153, 267, 855, 945, 538, 536, 10667, 585, 5717, 540, 811, 12666, 8925, 547, 519, 588, 738, 4328, 269, 3690, 25728, 1581, 1143, 6719, 835, 540, 519, 20443, 5712, 538, 799, 519, 5428, 585, 513, 4901, 540, 519, 1764, 540, 16637, 1581, 1143, 593, 5939, 6963, 538, 1007, 269, 774, 648, 879, 543, 519, 16637, 1581, 1235, 281, 741, 6138, 543, 1644, 4145, 1750, 11927, 521, 664, 328, 781, 4901, 3370, 676, 1750, 11927, 521, 664, 328, 593, 535, 27518, 267, 5104, 569, 476, 2641, 267, 476, 1001, 278, 269, 2986, 900, 3205, 568, 519, 1843, 540, 519, 1459, 4901, 1577, 721, 1101, 6376, 602, 547, 1397, 900, 3205, 781, 620, 334, 1993, 1145, 689, 519, 16637, 1581, 1235, 7015, 3125, 267, 7548, 563, 6624, 540, 519, 1034, 4583, 16637, 1581, 626, 1568, 616, 3594, 666, 606, 1557, 581, 5339, 538, 519, 1482, 1259, 602, 513, 6648, 610, 513, 3209, 568, 519, 16637, 1581, 1235, 269, 769, 11000, 267, 4901, 267, 543, 1507, 1895, 960, 538, 1362, 267, 1053, 1451, 547, 3950, 547, 9787, 543, 5660, 900, 3205, 781, 543, 519, 824, 16637, 1581, 1235, 262, 11509, 269, 3690, 25728, 1581, 1143, 543, 6963, 538, 519, 2085, 540, 900, 3205, 267, 555, 648, 879, 267, 543, 2407, 518, 4901, 593, 16637, 1581, 1143, 543, 2067, 2257, 267, 10023, 1079, 540, 519, 269, 3690, 25728, 1581, 626, 3350, 1331, 281, 678, 19563, 9267, 4777, 900, 3205, 267, 29165, 30602, 555, 648, 879, 267, 4901, 538, 1362, 786, 581, 827, 476, 1428, 3764, 543, 786, 15052, 1053, 1412, 563, 763, 3932, 4667, 547, 581, 602, 513, 19908, 568, 2556, 952, 16637, 1581, 1143, 568, 547, 581, 646, 17660, 693, 782, 267, 10502, 519, 2186, 540, 19908, 568, 8676, 601, 9333, 1389, 269, 3690, 25728, 1581, 1143, 568, 513, 10952, 3350, 602, 2919, 538, 519, 3735, 476, 9264, 271, 338, 543, 476, 8146, 271, 338, 538, 4408, 335, 2167, 2376, 2911, 269, 13028, 7172, 4115, 5498, 21124, 1382, 2200, 593, 16637, 1581, 1143, 689, 519, 1391, 807, 2228, 7172, 4115, 781, 9133, 281, 4901, 540, 16637, 1581, 1143, 5956, 593, 533, 269, 9523, 543, 1865, 2875, 13366, 476, 273, 6338, 16637, 1581, 1143, 1780, 856, 11000, 4967, 630, 8518, 719, 476, 272, 264, 543, 1865, 609, 1362, 476, 274, 979, 936, 900, 3205, 6915, 593, 30127, 563, 1103, 341, 924, 1053, 547, 1865, 519, 2035, 540, 16637, 1581, 1143, 676, 6236, 519, 1739, 2055, 596, 949, 6999, 547, 2328, 891, 2055, 593, 519, 4604, 610, 5750, 1547, 11137, 540, 16637, 1581, 1143, 267, 32055, 1568, 267, 29721, 1299, 3140, 2796, 267, 10530, 267, 4901, 2055, 267, 3730, 6402, 267, 543, 4967, 270, 974, 12329, 8292, 269, 634, 3404, 5112, 25156, 540, 16637, 1581, 1143, 3091, 606, 15834, 1935, 547, 519, 1433, 849, 10741, 909, 519, 4901, 540, 519, 3350, 3564, 519, 1007, 563, 2304, 7291, 540, 519, 11944, 540, 1007, 24469, 16637, 1581, 1143, 609, 1880, 741, 1378, 5717, 593, 16637, 1581, 626, 4798, 811, 4277, 982, 519, 269, 1358, 949, 1291, 547, 811, 13857, 5717, 540, 519, 16637, 1581, 1235, 267, 607, 891, 4775, 13915, 1683, 513, 5639, 585, 1053, 945, 949, 1935, 269, 589, 3802, 538, 519, 18137, 281, 1620, 16637, 1581, 1143, 936, 519, 1576, 540, 25926, 689, 2470, 543, 1582, 3146, 18910, 998, 10319, 4901, 269, 0, 763, 17227, 540, 519, 23821, 2572, 454, 4097, 268, 4366, 16729, 519, 28789, 781, 4971, 267, 15584, 267, 26826, 267, 543, 519, 3401, 540, 519, 2146, 3576, 513, 14829, 540, 519, 1614, 23821, 924, 804, 753, 267, 918, 2129, 987, 267, 717, 619, 327, 517, 267, 543, 8585, 926, 269, 1358, 1705, 713, 676, 1016, 12641, 753, 543, 3885, 543, 10805, 782, 519, 2367, 1063, 519, 6502, 540, 13977, 543, 15823, 945, 941, 11727, 547, 960, 538, 519, 570, 550, 540, 519, 28789, 781, 4527, 267, 607, 5205, 912, 5392, 10376, 812, 729, 10805, 607, 519, 28789, 1185, 26017, 15584, 282, 543, 693, 519, 4971, 540, 519, 28789, 2016, 998, 15584, 267, 1142, 812, 729, 8655, 5539, 585, 1010, 4305, 540, 7674, 610, 8876, 563, 14187, 5240, 22564, 10378, 609, 1546, 17458, 665, 534, 517, 25025, 12458, 335, 665, 787, 6495, 630, 9213, 779, 2296, 19405, 267, 5822, 9990, 264, 9736, 476, 1960, 273, 1977, 6426, 5980, 269, 2353, 2924, 11603, 563, 17951, 997, 5314, 9736, 634, 3703, 543, 14579, 6426, 5980, 476, 3192, 277, 267, 476, 1960, 275, 267, 476, 1220, 275, 454, 763, 10677, 585, 519, 12045, 960, 540, 29842, 5314, 25701, 1152, 547, 519, 1257, 1369, 519, 6153, 5240, 22564, 630, 294, 18199, 264, 602, 3703, 543, 14579, 6426, 5980, 9862, 585, 3703, 5339, 6165, 267, 5812, 609, 8791, 476, 9818, 6357, 264, 540, 519, 2136, 2276, 14645, 2920, 267, 476, 1704, 772, 2529, 5861, 269, 19926, 476, 9818, 6357, 1916, 289, 1043, 1257, 689, 519, 6153, 5240, 22564, 630, 294, 18199, 264, 568, 711, 547, 581, 25735, 538, 12215, 610, 6382, 676, 1022, 1797, 4849, 607, 15868, 538, 1603, 676, 1977, 6426, 5980, 267, 476, 6200, 3345, 14412, 26864, 5101, 267, 4469, 3233, 476, 279, 267, 15740, 267, 13698, 476, 4489, 6187, 268, 21497, 276, 630, 4178, 269, 26410, 321, 1043, 3820, 1916, 5472, 2924, 11603, 269, 3143, 851, 540, 713, 8313, 949, 581, 25735, 610, 10299, 538, 1022, 1106, 610, 676, 1022, 1797, 267, 5907, 610, 7344, 267, 1519, 2584, 665, 4878, 267, 10916, 610, 1022, 1344, 4859, 610, 23023, 1062, 267, 1510, 10479, 538, 1603, 689, 519, 17404, 269, 0, 13775, 609, 2186, 10479, 689, 634, 26366, 601, 11833, 454, 294, 2894, 2207, 3201, 6673, 14154, 2752, 23814, 910, 5940, 3307, 633, 2212, 609, 4190, 3623, 5652, 8720, 267, 609, 1804, 267, 8797, 10995, 4064, 1055, 4259, 1279, 267, 1970, 649, 848, 569, 1560, 269, 10374, 2178, 7953, 282, 4365, 16513, 10359, 563, 6224, 2752, 3722, 9898, 3041, 23154, 910, 10794, 267, 960, 2006, 3697, 1768, 8175, 454, 307, 4932, 25807, 4456, 7728, 910, 18763, 267, 3810, 10995, 267, 5462, 267, 6414, 656, 267, 6213, 267, 15754, 622, 543, 14064, 1881, 563, 4047, 4696, 6730, 27699, 26097, 910, 10361, 9244, 1500, 543, 1804, 267, 855, 538, 8167, 547, 519, 2915, 781, 2450, 267, 6091, 6029, 9058, 1646, 2523, 519, 3193, 16736, 269, 4787, 1638, 3376, 267, 32560, 2509, 519, 3750, 267, 7893, 827, 519, 1482, 689, 519, 6418, 7944, 540, 519, 3750, 547, 1394, 540, 519, 15693, 607, 689, 1274, 547, 1274, 269, 5983, 3650, 1134, 2531, 539, 282, 2212, 4988, 609, 1360, 2571, 3623, 5652, 4552, 568, 711, 16876, 547, 513, 6071, 1283, 330, 2254, 269, 4258, 4060, 7930, 512, 1653, 532, 2509, 2620, 543, 9244, 1500, 18665, 14794, 269, 16334, 14794, 538, 8167, 547, 15693, 607, 1614, 547, 2947, 269, 5440, 540, 519, 18665, 14794, 814, 21083, 11953, 15429, 15738, 23651, 547, 4064, 689, 9224, 827, 606, 10759, 3376, 269, 715, 846, 3109, 563, 292, 312, 2464, 910, 6762, 4158, 6328, 601, 282, 1305, 2647, 6306, 543, 1970, 267, 1804, 585, 513, 1507, 2915, 267, 6505, 267, 2407, 543, 5180, 267, 855, 711, 31732, 24851, 563, 292, 12678, 910, 623, 754, 592, 748, 267, 1305, 1134, 1394, 267, 6306, 543, 1970, 593, 519, 15693, 267, 16304, 2673, 547, 519, 32336, 267, 609, 1360, 13581, 16879, 693, 3490, 267, 3376, 693, 519, 22882, 540, 2212, 543, 512, 1653, 532, 3592, 547, 513, 1448, 267, 2062, 4820, 540, 519, 1274, 4947, 3592, 2786, 1524, 689, 922, 22882, 609, 519, 2212, 547, 519, 9133, 269, 14295, 18382, 543, 2960, 540, 519, 1274, 1360, 6094, 269, 20099, 540, 1274, 689, 1614, 547, 2185, 6279, 269, 661, 1513, 2800, 514, 1047, 538, 7990, 609, 519, 1560, 7990, 269, 769, 513, 14723, 2915, 4988, 609, 2571, 2786, 4158, 4552, 630, 514, 930, 2665, 3592, 3109, 1040, 769, 513, 28401, 2915, 267, 4552, 28401, 538, 7990, 267, 513, 12094, 18632, 982, 519, 1560, 855, 711, 3109, 269, 5637, 1058, 723, 513, 6094, 13692, 540, 1769, 4552, 4358, 827, 1079, 6279, 689, 519, 9133, 543, 540, 5176, 519, 1482, 7990, 543, 9403, 607, 519, 1283, 330, 2254, 4758, 519, 1274, 519, 5920, 540, 513, 3982, 1448, 269, 901, 949, 711, 2408, 2394, 1310, 519, 2085, 540, 1079, 1296, 563, 300, 5495, 8025, 910, 808, 9155, 2178, 609, 513, 3501, 2834, 543, 2347, 1085, 1170, 528, 11116, 1775, 4318, 269, 519, 5580, 4522, 5702, 20718, 519, 2539, 4522, 543, 1305, 4009, 547, 519, 28287, 269, 7102, 11539, 568, 3810, 24379, 269, 29726, 1360, 2178, 267, 2523, 519, 666, 1149, 267, 799, 616, 9058, 538, 2450, 585, 513, 1507, 2915, 269, 2052, 1149, 3514, 1134, 1996, 1142, 824, 267, 547, 2285, 519, 6574, 2139, 8066, 543, 5309, 5109, 7060, 269, 18738, 540, 519, 5023, 3109, 610, 4158, 25549, 563, 301, 4488, 298, 910, 15020, 16757, 267, 1134, 2919, 543, 2178, 267, 6029, 1390, 1379, 269, 4270, 1305, 883, 519, 17525, 454, 293, 16800, 12702, 11286, 8991, 910, 9701, 619, 1134, 9788, 1394, 855, 711, 5230, 269, 5983, 5586, 338, 2110, 609, 10373, 16757, 1646, 543, 5642, 267, 1305, 2647, 6306, 543, 9221, 4947, 1134, 1524, 1063, 873, 269, 5983, 15767, 547, 1246, 1899, 540, 9221, 609, 3952, 15738, 4464, 610, 5594, 21286, 950, 7555, 269, 17020, 344, 7953, 3810, 24379, 454, 289, 7495, 312, 910, 7043, 267, 2178, 543, 8465, 28937, 1134, 16204, 2426, 543, 5180, 267, 9221, 1134, 2919, 543, 1134, 1577, 1524, 1063, 2062, 5586, 338, 282, 1394, 2864, 1970, 693, 17525, 2348, 513, 13581, 18746, 7455, 543, 513, 7222, 2895, 936, 519, 3138, 1231, 267, 13581, 16795, 6749, 689, 1283, 540, 3138, 514, 547, 3597, 540, 2766, 269, 7982, 14752, 1134, 1660, 743, 539, 563, 295, 18853, 12702, 11286, 8991, 910, 13130, 5586, 338, 513, 2370, 3476, 982, 2062, 5586, 338, 2864, 2647, 6306, 267, 855, 711, 3262, 856, 538, 606, 796, 11499, 6073, 267, 25427, 338, 1134, 2919, 269, 853, 604, 548, 2587, 783, 1540, 267, 554, 4169, 1134, 1577, 1524, 563, 25539, 4953, 910, 18471, 543, 1134, 14950, 4765, 269, 13130, 10623, 564, 4130, 982, 2062, 10623, 564, 269, 715, 5661, 4158, 855, 8795, 538, 12094, 2687, 547, 7990, 540, 1560, 282, 25065, 610, 1930, 3952, 3810, 24379, 563, 14011, 6579, 910, 13298, 2110, 267, 689, 5216, 547, 4557, 6279, 267, 2864, 5394, 693, 519, 3597, 267, 3478, 23198, 585, 827, 476, 1015, 9492, 781, 630, 275, 1231, 264, 543, 512, 1653, 532, 1055, 547, 513, 1448, 269, 8253, 27390, 610, 1225, 1194, 538, 1022, 1259, 855, 609, 513, 7455, 899, 513, 1085, 574, 10560, 267, 519, 9133, 267, 950, 9599, 1373, 538, 513, 13902, 1899, 609, 519, 3597, 540, 519, 2766, 269, 5590, 9444, 1932, 1164, 6862, 1932, 1970, 269, 1879, 711, 9599, 568, 5645, 575, 2905, 513, 2370, 1657, 519, 1560, 1377, 563, 16598, 3951, 19072, 10976, 30121, 910, 16200, 2786, 791, 13955, 689, 15493, 267, 4758, 513, 31402, 1863, 543, 2653, 1193, 728, 267, 8757, 4464, 693, 519, 4395, 269, 589, 13888, 588, 559, 1540, 5577, 4771, 610 ]

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

[ 519, 29224, 1747, 593, 3618, 888, 268, 1215, 1164, 666, 513, 8611, 1205, 1354, 596, 5884, 888, 268, 4208, 1281, 8611, 2333, 693, 3781, 888, 268, 1548, 2837, 568, 4411, 2614, 547, 6146, 596, 888, 268, 2052, 596, 19068, 547, 2669, 538, 707, 3207, 888, 268, 1215, 4411, 568, 1932, 4411, 585, 513, 1480, 888, 268, 1215, 4411, 540, 1216, 666, 6146, 596, 888, 268, 1548, 568, 519, 9803, 1560, 2837, 1354, 596, 5884, 888, 268, 1772, 513, 476, 9083, 8611, 3983, 888, 268, 2052, 513, 1480, 7639, 513, 476, 13040, 4110, 8611, 888, 268, 1548, 568, 519, 5207, 2837, 513, 1480, 666, 723, 888, 268, 1215, 3728, 1131, 596, 5884, 538, 4110, 4365, 888, 268, 1548, 2837, 568, 5906, 888, 268, 1548, 4523, 952, 707, 2837, 568, 476, 13040, 888, 268, 2052, 513, 1480, 7639, 476, 9610, 5232, 888, 268, 2052, 3425, 936, 17742, 888, 268, 1772, 476, 4200, 269, 272, 513, 8611, 888, 1432, 568, 519, 5207, 2837, 540, 1480, 1560, 888, 12893, 5232, 281, 2201, 5147, 476, 1015, 267, 476, 2735, 271, 267, 476, 7367, 4458, 6040, 4024, 773, 13643, 540, 24611, 729, 15861, 547, 519, 6413, 609, 3002, 560, 6593, 543, 513, 2837, 540, 476, 12893, 5232, 18278, 563, 3891, 6170, 476, 2190, 2395, 538, 519, 6413, 543, 15068, 563, 297, 2158, 6585, 519, 2871, 514, 1145, 3883, 540, 2622, 19475, 8956, 585, 5207, 6592, 1560, 2837, 10756, 3963, 798, 10506, 1832, 621, 865, 4411, 888, 2026, 28198, 7575, 689, 2627, 547, 2627, 267, 621, 3444, 8764, 919, 873, 269, 1677, 8396, 713, 3262, 540, 2068, 543, 3968, 538, 519, 6413, 4055, 267, 4411, 5210, 543, 1970, 11195, 2061, 28198, 593, 10322, 28895, 7252, 267, 1930, 16398, 267, 543, 5665, 3937, 563, 1432, 2837, 568, 14603, 547, 3425, 888, 4510, 11019, 290, 630, 9340, 269, 273, 11019, 293, 264, 610, 811, 1107, 20290, 6157, 2669, 786, 2049, 282, 2705, 267, 1004, 723, 1044, 1634, 547, 7639, 909, 547, 476, 5379, 269, 276, 11019, 290, 630, 12893, 269, 278, 11019, 293, 1040, 476, 6246, 11019, 290, 630, 11820, 269, 275, 11019, 293, 264, 1107, 28611, 2669, 267, 610, 972, 949, 581, 3978, 2634, 3441, 267, 6024, 5996, 6160, 687, 543, 8710, 563, 1692, 3905, 568, 1932, 3905, 585, 3425, 547, 7639, 888, 763, 2164, 6700, 602, 267, 609, 519, 948, 540, 513, 7535, 540, 1216, 543, 513, 3532, 10178, 267, 513, 1480, 1223, 10703, 643, 2406, 20496, 3002, 540, 909, 547, 476, 9610, 5232, 18278, 538, 2011, 609, 476, 1015, 2600, 11195, 563, 1432, 568, 519, 29224, 1747, 593, 3618, 888, 5719, 987, 9503, 14722, 1869, 723, 547, 19472, 519, 2542, 540, 476, 9873, 5232, 18278, 593, 10732, 267, 519, 6697, 540, 476, 7918, 5232, 17622, 269, 769, 519, 2442, 9345, 267, 12280, 9503, 538, 8828, 4993, 568, 519, 29224, 1747, 593, 3618, 563, 1692, 1164, 666, 513, 8611, 1205, 1354, 596, 5884, 888, 300, 843, 610, 9793, 2829, 540, 8611, 630, 1575, 547, 476, 10755, 11019, 293, 1496, 2412, 269, 4649, 11019, 290, 8079, 2014, 8467, 610, 25874, 855, 616, 711, 538, 2933, 513, 3978, 3463, 547, 1072, 269, 2859, 3978, 905, 951, 267, 538, 799, 1560, 2837, 14380, 547, 476, 10482, 11019, 293, 630, 5655, 269, 2420, 11019, 290, 264, 610, 811, 267, 666, 1267, 538, 5996, 6160, 687, 543, 2669, 563, 3963, 1281, 8611, 2333, 693, 3781, 888, 4263, 3781, 267, 972, 568, 1447, 23280, 538, 707, 1973, 269, 1306, 513, 1267, 267, 707, 3043, 1973, 2281, 11593, 3713, 543, 4339, 5563, 538, 707, 1560, 693, 713, 942, 267, 1008, 3183, 519, 2589, 540, 519, 3968, 547, 2627, 267, 971, 607, 8611, 267, 20316, 267, 669, 1571, 267, 610, 24852, 269, 4475, 267, 596, 1745, 7210, 518, 1282, 519, 3781, 563, 1432, 2837, 568, 4411, 2614, 547, 6146, 596, 888, 29797, 1278, 8926, 568, 513, 2783, 4547, 593, 950, 519, 1560, 2837, 12772, 547, 1447, 982, 476, 4817, 13790, 269, 898, 666, 6146, 563, 4692, 596, 19068, 547, 2669, 538, 707, 3207, 888, 29797, 1278, 8926, 30147, 5540, 519, 2634, 267, 8401, 1062, 267, 543, 824, 15629, 3252, 1765, 4754, 3533, 1291, 547, 2669, 267, 1256, 538, 707, 1378, 1753, 267, 7338, 27347, 267, 606, 6595, 4915, 10629, 693, 519, 25350, 18669, 267, 29808, 563, 1692, 4411, 568, 1932, 4411, 585, 513, 1480, 888, 29797, 1278, 8926, 568, 513, 2564, 6595, 602, 4386, 950, 707, 1560, 19380, 3002, 5488, 982, 621, 666, 3132, 3002, 267, 4929, 513, 5906, 569, 1970, 1560, 2837, 269, 16453, 1560, 2837, 568, 1472, 476, 7176, 269, 277, 674, 630, 4391, 595, 1040, 14523, 1278, 8926, 630, 6062, 1790, 4141, 6874, 295, 7838, 24578, 268, 7795, 264, 4386, 607, 707, 1560, 2837, 8813, 2630, 476, 4817, 674, 630, 3374, 595, 1916, 1692, 4411, 540, 1216, 666, 6146, 596, 888, 3891, 7012, 1406, 9849, 513, 1272, 329, 871, 564, 543, 646, 5747, 1510, 2479, 17774, 5217, 1848, 4340, 547, 4681, 689, 519, 476, 1220, 279, 1382, 1788, 12019, 4826, 645, 2393, 322, 2086, 267, 4411, 1216, 19754, 3533, 543, 621, 3085, 1406, 1256, 723, 547, 581, 602, 4411, 630, 3286, 896, 476, 3583, 5232, 674, 1916, 1432, 568, 519, 9803, 1560, 2837, 1354, 596, 5884, 888, 4263, 476, 11011, 674, 630, 3451, 595, 1070, 596, 666, 1995, 993, 5886, 807, 269, 2311, 476, 11025, 674, 630, 2764, 595, 264, 596, 666, 6336, 9637, 269, 12989, 476, 3583, 674, 630, 2641, 595, 1070, 596, 616, 1767, 547, 723, 7096, 3834, 1278, 8926, 543, 2669, 666, 2049, 267, 27517, 6390, 1767, 563, 3674, 513, 476, 9083, 8611, 3983, 888, 7212, 621, 949, 711, 581, 6899, 267, 513, 2837, 540, 909, 547, 476, 9083, 13790, 568, 3622, 2922, 538, 4079, 269, 769, 1249, 267, 1034, 2635, 4079, 666, 1256, 20496, 513, 8611, 607, 1164, 607, 476, 9818, 13790, 547, 476, 10441, 13790, 585, 2110, 5712, 540, 942, 1510, 2348, 1022, 1713, 2042, 269, 10610, 5210, 2356, 2132, 547, 3339, 2899, 519, 4576, 4422, 2476, 563, 4692, 513, 1480, 7639, 513, 476, 13040, 4110, 8611, 888, 288, 1560, 2837, 540, 476, 10441, 5232, 6920, 8594, 267, 476, 10755, 5232, 568, 538, 519, 4214, 540, 3002, 8482, 543, 513, 2837, 540, 476, 13040, 5232, 1223, 1267, 538, 26464, 1418, 3441, 610, 2669, 563, 1432, 568, 519, 5207, 2837, 513, 1480, 666, 723, 888, 10482, 269, 1691, 13790, 28694, 2837, 281, 476, 10482, 269, 1691, 13790, 634, 5021, 1560, 2837, 513, 1480, 666, 7639, 568, 476, 10482, 269, 1691, 13790, 269, 2311, 2362, 5210, 519, 1560, 7140, 883, 26545, 16940, 5798, 281, 5946, 616, 3954, 25733, 543, 519, 2634, 4991, 8697, 9048, 1706, 2406, 563, 1692, 3728, 1131, 596, 5884, 538, 4110, 4365, 888, 290, 7034, 849, 5359, 602, 519, 2179, 540, 942, 621, 1131, 1491, 585, 2576, 547, 19068, 547, 2669, 5673, 593, 519, 1808, 2175, 267, 968, 8117, 2669, 666, 2049, 538, 896, 606, 5662, 952, 2175, 616, 5906, 2614, 1848, 4340, 547, 519, 2817, 16661, 6796, 267, 968, 29797, 1278, 8926, 666, 2049, 538, 5210, 607, 3636, 607, 476, 2568, 13790, 267, 3226, 538, 1216, 610, 6693, 1432, 2837, 568, 5906, 888, 3849, 6699, 269, 11910, 707, 4387, 952, 707, 2837, 568, 476, 9818, 674, 630, 4375, 269, 275, 595, 264, 610, 2362, 269, 16418, 7525, 2564, 3007, 952, 1022, 540, 891, 4191, 610, 2589, 9311, 625, 513, 8611, 281, 27275, 15677, 563, 1432, 4523, 952, 707, 2837, 568, 476, 13040, 888, 5629, 513, 8611, 4422, 3564, 519, 1164, 1377, 267, 606, 2937, 13788, 5906, 8611, 2157, 630, 10441, 674, 1107, 476, 13040, 674, 1040, 4495, 513, 8611, 10301, 519, 5906, 1377, 267, 849, 1634, 607, 5409, 6853, 516, 19333, 267, 621, 568, 513, 2564, 6595, 543, 596, 1058, 3343, 2564, 1416, 5612, 563, 4692, 513, 1480, 7639, 476, 9610, 5232, 888, 7197, 3425, 786, 7985, 5409, 750, 8926, 1310, 476, 1015, 3764, 538, 5393, 18519, 267, 476, 9610, 24266, 6363, 16366, 630, 2568, 1673, 1122, 4181, 4211, 16364, 264, 3002, 269, 12280, 676, 4411, 568, 9875, 547, 1642, 574, 527, 563, 4692, 3425, 936, 17742, 888, 28959, 25874, 568, 513, 2783, 4171, 2589, 949, 1331, 5230, 24852, 543, 513, 4028, 13942, 267, 513, 1267, 540, 707, 1560, 23986, 908, 269, 898, 779, 835, 540, 1614, 3002, 5829, 25102, 27689, 267, 609, 3002, 25574, 1373, 519, 7646, 652, 543, 3002, 560, 6593, 1373, 519, 1034, 4049, 269, 2560, 18641, 267, 3002, 25874, 568, 28824, 563, 3674, 476, 4200, 269, 272, 513, 8611, 888, 2304, 2937, 4440, 814, 513, 8611, 950, 519, 2837, 568, 1657, 476, 4200, 13790, 547, 476, 4200, 269, 276, 13790, 630, 4391, 269, 273, 9180, 547, 476, 4391, 269, 276, 9180, 1070, 4470, 593, 519, 942, 540, 1554, 269, 0, 9209, 3797, 568, 513, 1106, 540, 21911, 602, 3096, 1148, 5137, 607, 513, 7154, 540, 2792, 269, 1703, 616, 16293, 945, 616, 16887, 8036, 543, 11727, 547, 2259, 1148, 3797, 609, 2550, 7092, 689, 513, 2647, 2039, 540, 2175, 269, 1703, 616, 1082, 1004, 945, 4324, 689, 1148, 3797, 267, 971, 607, 1004, 7092, 689, 2790, 267, 8965, 610, 3929, 1072, 2042, 267, 1565, 610, 2168, 9124, 267, 6219, 6057, 4713, 267, 2634, 2987, 329, 1722, 610, 14715, 2175, 543, 2168, 4576, 563, 763, 11588, 540, 3203, 10657, 4438, 24251, 9615, 454, 9209, 3797, 2636, 1004, 10010, 609, 6219, 6057, 547, 1205, 538, 5905, 609, 741, 6418, 1582, 543, 7654, 1256, 513, 2362, 1379, 269, 898, 2636, 873, 606, 17752, 547, 2769, 4606, 602, 3112, 3362, 581, 4857, 610, 2322, 883, 1913, 269, 901, 1826, 540, 22192, 3797, 666, 948, 6318, 1582, 12635, 543, 2488, 519, 1367, 609, 1007, 2833, 3564, 3110, 3770, 543, 11213, 8965, 13467, 269, 3203, 3797, 666, 849, 948, 606, 1367, 547, 1294, 602, 972, 616, 4244, 2081, 547, 6001, 1510, 1210, 5061, 610, 4568, 563, 9209, 3797, 949, 581, 3177, 585, 2516, 267, 610, 585, 2043, 267, 4470, 593, 519, 1808, 2115, 540, 519, 3461, 269, 4014, 1082, 2550, 1265, 1148, 3797, 11791, 267, 621, 1058, 581, 6854, 538, 2247, 602, 621, 568, 711, 513, 16351, 2534, 610, 606, 1148, 3992, 855, 3079, 513, 3797, 8400, 609, 513, 3483, 269, 3203, 3797, 1281, 711, 2154, 2550, 547, 723, 1022, 3105, 1995, 609, 1148, 269, 901, 1826, 540, 3797, 568, 1031, 547, 1020, 3860, 4082, 267, 6536, 11348, 538, 18517, 543, 960, 998, 14375, 4655, 998, 519, 3860, 1184, 269, 0, 306, 1460, 2081, 547, 3035, 3761, 5832, 6940, 454, 293, 3241, 539, 676, 7082, 7569, 267, 1775, 2483, 763, 4264, 3761, 5832, 814, 1831, 513, 4105, 1107, 543, 2479, 811, 7298, 1107, 3693, 540, 1514, 9746, 5539, 563, 293, 3241, 539, 676, 7082, 7569, 267, 2810, 6042, 543, 513, 20387, 1870, 2013, 267, 23376, 3761, 11800, 538, 513, 811, 4264, 4287, 814, 6738, 689, 3288, 644, 762, 20440, 547, 1270, 15363, 585, 1279, 3856, 11091, 563, 288, 4264, 3761, 5832, 568, 827, 2484, 811, 982, 519, 1604, 267, 1498, 602, 779, 1141, 6800, 1522, 1445, 741, 3007, 269, 20885, 568, 513, 1476, 26475, 540, 1514, 267, 8733, 543, 2804, 5054, 269, 589, 4264, 3761, 5832, 1590, 2057, 18731, 1312, 519, 1604, 543, 519, 1870, 3294, 563, 2005, 779, 849, 1271, 547, 21028, 602, 513, 968, 22529, 1043, 892, 3761, 5832, 3884, 1406, 8209, 519, 1482, 3364, 607, 513, 968, 338, 20980, 892, 3761, 5832, 269, 589, 3743, 3761, 5832, 3335, 5849, 621, 13333, 1369, 782, 3656, 543, 5683, 6724, 269, 901, 3085, 1406, 14751, 6940, 267, 2705, 269, 589, 4264, 3761, 5832, 3217, 883, 2272, 2825, 543, 6848, 4704, 2798, 269, 634, 4264, 5832, 3340, 602, 782, 4891, 2015, 875, 741, 3157, 543, 3527, 666, 581, 6462, 676, 2470, 543, 2486, 936, 519, 1279, 2165, 563, 2467, 779, 1100, 2656, 543, 2653, 2619, 547, 6940, 267, 855, 519, 1318, 3761, 5832, 3435, 666, 948, 707, 1870, 11441, 4724, 267, 543, 5555, 3035, 267, 513, 5377, 1899, 3989, 676, 711, 1175, 7443, 855, 849, 676, 1004, 543, 519, 4541, 563, 8620, 513, 2143, 4786, 454, 28012, 267, 952, 4986, 267, 666, 581, 12913, 1369, 707, 3761, 5832, 952, 596, 1810, 1406, 723, 3730, 15287, 540, 621, 269, 1744, 1442, 5944, 1906, 3549, 2965, 723, 2143, 5784, 540, 741, 3003, 3761, 11800, 267, 799, 616, 811, 1950, 543, 2518, 982, 2479, 269, 29570, 707, 3003, 3761, 5832, 568, 519, 4358, 1448, 269, 589, 2298, 4786, 540, 707, 3761, 5832, 786, 1450, 596, 547, 2697, 5222, 267, 4220, 543, 10256, 540, 3653, 563, 1607, 968, 320, 518 ]

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

[ 0, 3963, 568, 1855, 582, 8811, 340, 659, 534, 1271, 888, 9209, 604, 9711, 1336, 538, 519, 2749, 543, 4609, 2066, 6792, 2303, 1855, 582, 8811, 340, 659, 534, 729, 513, 14547, 4123, 1558, 24227, 538, 922, 6305, 269, 769, 1880, 267, 519, 2749, 29633, 5386, 2116, 22941, 2645, 267, 1519, 27490, 543, 546, 691, 9843, 269, 1855, 582, 8811, 340, 659, 534, 1185, 513, 26771, 593, 2116, 22941, 4123, 9789, 1034, 1271, 16005, 538, 12379, 334, 15330, 3821, 729, 4092, 2282, 519, 2749, 563, 1432, 5949, 538, 519, 13527, 540, 2372, 28856, 531, 1723, 520, 331, 888, 763, 3171, 9312, 4149, 518, 25871, 30958, 729, 26151, 267, 782, 519, 18810, 941, 14324, 689, 519, 11454, 267, 543, 1776, 3760, 729, 3710, 547, 2498, 864, 519, 1795, 1228, 6693, 1432, 1705, 519, 25069, 14369, 1589, 540, 1855, 582, 8811, 340, 659, 534, 888, 5938, 582, 8811, 340, 659, 534, 5641, 513, 1279, 2686, 14692, 998, 1686, 543, 267, 476, 272, 267, 1822, 1296, 1310, 922, 8445, 267, 519, 2063, 1390, 2776, 4211, 565, 3518, 1014, 10340, 267, 519, 25069, 14369, 267, 26060, 519, 2749, 607, 519, 5169, 540, 10340, 269, 1358, 5156, 1855, 582, 8811, 340, 659, 534, 729, 1141, 519, 10971, 1185, 2813, 519, 1459, 5736, 267, 1519, 519, 11359, 543, 1459, 3141, 563, 24078, 519, 13527, 540, 2372, 28856, 531, 1723, 520, 331, 10032, 888, 17746, 2315, 540, 519, 1101, 11454, 3459, 28069, 1310, 476, 15171, 276, 267, 543, 621, 729, 32206, 3670, 2053, 269, 634, 11454, 729, 10032, 676, 519, 5053, 538, 476, 13923, 272, 547, 1118, 1259, 585, 519, 1007, 6792, 4975, 26720, 269, 634, 3135, 568, 851, 540, 519, 19866, 4741, 540, 6792, 4975, 267, 799, 729, 3773, 547, 519, 20648, 2622, 11595, 5903, 538, 476, 2735, 278, 563, 1692, 2462, 568, 519, 2372, 28856, 531, 1723, 520, 331, 18158, 888, 763, 4102, 18158, 267, 543, 519, 4102, 15224, 2479, 9112, 267, 568, 519, 2372, 28856, 531, 322, 6759, 520, 331, 30958, 693, 932, 565, 3121, 632, 681, 643, 611, 822, 807, 267, 476, 6200, 5998, 630, 8287, 5195, 264, 5045, 3887, 770, 540, 6792, 4975, 269, 898, 568, 476, 7918, 544, 630, 10082, 10264, 264, 7381, 267, 543, 922, 3490, 6227, 606, 1858, 540, 5176, 476, 1240, 269, 273, 688, 630, 3393, 14143, 1916, 7617, 2696, 1705, 519, 1855, 582, 8811, 340, 659, 534, 10847, 888, 307, 331, 531, 665, 543, 2372, 28856, 531, 1723, 520, 331, 616, 1851, 519, 1034, 1271, 24587, 538, 1855, 582, 8811, 340, 659, 17505, 269, 670, 826, 16852, 23176, 582, 331, 267, 519, 6196, 2696, 267, 945, 729, 3743, 585, 3595, 543, 729, 26902, 5792, 5097, 538, 519, 4357, 12106, 269, 1261, 729, 519, 19121, 23920, 540, 2777, 543, 5873, 628, 563, 8489, 568, 519, 808, 16331, 541, 693, 1855, 582, 8811, 340, 659, 534, 888, 310, 273, 268, 9826, 280, 281, 808, 16331, 541, 25738, 513, 598, 577, 634, 20066, 540, 519, 808, 16331, 1513, 568, 4092, 5612, 547, 519, 7178, 540, 519, 1773, 18054, 540, 519, 9855, 693, 1855, 582, 8811, 340, 659, 534, 269, 634, 1034, 7986, 544, 1116, 568, 602, 540, 513, 795, 16331, 541, 25738, 513, 905, 9312, 598, 577, 7387, 602, 5671, 1186, 609, 1973, 630, 14808, 269, 654, 273, 268, 9826, 280, 30155, 1432, 568, 519, 4583, 544, 1116, 693, 1855, 582, 8811, 340, 659, 534, 888, 310, 273, 268, 9826, 280, 281, 808, 16331, 541, 25738, 513, 598, 577, 763, 20066, 540, 519, 808, 16331, 1513, 568, 4092, 5612, 547, 519, 7178, 540, 519, 1773, 18054, 540, 519, 9855, 693, 1855, 582, 8811, 340, 659, 534, 269, 634, 1034, 7986, 544, 1116, 568, 602, 540, 513, 795, 16331, 541, 25738, 513, 905, 9312, 598, 577, 7387, 602, 5671, 1186, 609, 1973, 630, 14808, 269, 654, 273, 268, 9826, 280, 1916, 1432, 568, 1855, 582, 8811, 340, 659, 534, 11454, 540, 905, 9312, 1583, 25871, 888, 5938, 582, 8811, 340, 659, 534, 1107, 13527, 540, 519, 3171, 9312, 5395, 25871, 1107, 11265, 1469, 547, 519, 1318, 540, 519, 3268, 269, 769, 3735, 476, 1220, 274, 513, 15993, 9944, 519, 13527, 540, 519, 3171, 9312, 5395, 25871, 729, 18417, 4362, 676, 590, 1120, 1470, 717, 6759, 1889, 345, 932, 5451, 557, 345, 543, 7325, 773, 717, 9579, 7637, 267, 18840, 5505, 540, 519, 2817, 4659, 540, 28668, 543, 3778, 630, 2562, 288, 295, 1916, 1432, 568, 519, 11454, 540, 519, 808, 16331, 541, 538, 932, 545, 1156, 898, 5633, 888, 763, 13527, 540, 519, 808, 16331, 541, 538, 932, 545, 1156, 898, 5633, 729, 3710, 1063, 519, 1296, 476, 1911, 271, 543, 476, 12893, 271, 269, 898, 3217, 922, 2012, 689, 513, 5311, 540, 795, 16331, 1513, 4092, 538, 4395, 540, 519, 2497, 267, 621, 5161, 540, 1114, 6106, 602, 616, 5704, 2299, 20077, 543, 1397, 1114, 2010, 540, 2592, 269, 0, 8368, 540, 12937, 454, 268, 8490, 5463, 12365, 1436, 454, 268, 21150, 617, 1221, 12539, 454, 268, 7358, 1049, 12539, 454, 21615, 617, 1221, 3327, 267, 689, 2679, 2326, 543, 4070, 267, 13408, 827, 513, 3791, 540, 519, 3710, 1604, 781, 8101, 2698, 3327, 11640, 267, 543, 602, 2671, 568, 4397, 547, 1332, 607, 5656, 7678, 4724, 2362, 10512, 4398, 269, 9717, 602, 693, 2547, 476, 279, 260, 540, 2518, 23435, 294, 5434, 949, 4867, 581, 11911, 547, 5663, 2679, 4070, 2326, 267, 4227, 22993, 3327, 568, 606, 1271, 2916, 17846, 4640, 269, 2755, 10512, 3327, 666, 581, 4389, 936, 942, 607, 513, 1267, 540, 7598, 2994, 971, 607, 1648, 4398, 18175, 10232, 543, 519, 946, 540, 7791, 1648, 2959, 267, 22993, 3327, 568, 19526, 538, 607, 4166, 607, 519, 2679, 568, 3710, 269, 6787, 1007, 4070, 610, 22058, 566, 267, 621, 779, 2565, 547, 2232, 543, 1544, 547, 2569, 22993, 3327, 2038, 1282, 519, 4058, 543, 1374, 11775, 540, 513, 1788, 269, 10829, 4328, 22993, 3327, 3340, 1620, 513, 1906, 1883, 2035, 281, 6820, 654, 9879, 15783, 267, 19940, 8490, 5020, 18888, 10495, 267, 7025, 8605, 13207, 25730, 267, 543, 8605, 21145, 16390, 563, 21615, 617, 1221, 12539, 17943, 543, 26479, 454, 294, 310, 303, 6257, 513, 1570, 779, 2698, 9295, 547, 2916, 1689, 543, 568, 835, 540, 519, 2825, 1764, 6688, 6027, 676, 5020, 18888, 10495, 630, 299, 7563, 264, 2645, 269, 28047, 303, 2636, 2326, 547, 581, 3379, 538, 2474, 540, 741, 23435, 294, 5434, 3379, 547, 519, 23435, 294, 5434, 540, 835, 9522, 540, 2910, 273, 269, 5221, 2518, 8337, 568, 3361, 5097, 676, 519, 8781, 540, 8093, 10173, 267, 28047, 303, 568, 9244, 17047, 609, 1079, 824, 2825, 1764, 6688, 9141, 676, 2799, 9830, 540, 23435, 19199, 538, 519, 5790, 281, 3679, 2305, 543, 1159, 690, 5250, 563, 288, 654, 13993, 7563, 568, 2147, 547, 513, 1587, 700, 7563, 267, 855, 519, 1587, 568, 519, 2679, 269, 589, 2347, 654, 13993, 7563, 2882, 782, 2326, 538, 519, 2679, 543, 519, 6198, 1770, 1522, 581, 968, 1492, 3003, 2679, 689, 1374, 547, 23542, 819, 585, 513, 476, 2004, 4458, 3028, 1272, 3034, 2690, 811, 1344, 267, 1294, 590, 10499, 944, 779, 5020, 18888, 10495, 543, 29844, 2985, 563, 2304, 661, 11520, 568, 513, 1907, 3850, 9755, 547, 2490, 3102, 267, 3791, 18407, 268, 591, 1881, 31446, 2026, 883, 13387, 17083, 10297, 585, 741, 2472, 269, 1323, 661, 11520, 31825, 519, 2825, 543, 2773, 5222, 540, 513, 1587, 610, 513, 1570, 593, 513, 10715, 4493, 269, 8409, 5222, 616, 2356, 6027, 676, 28047, 303, 269, 1280, 4070, 2326, 543, 3785, 267, 661, 11520, 338, 3986, 1232, 12365, 1436, 3646, 676, 1818, 621, 2009, 547, 5635, 519, 28047, 303, 5222, 540, 1114, 2326, 267, 8716, 519, 5542, 540, 2539, 1764, 2326, 563, 7968, 17762, 949, 849, 1331, 1344, 971, 607, 1587, 5820, 267, 4199, 946, 267, 543, 5663, 1184, 3877, 269, 14716, 1570, 661, 11520, 338, 616, 2356, 4570, 585, 2947, 1296, 267, 543, 616, 6383, 1759, 593, 4441, 971, 607, 18869, 476, 9610, 2412, 270, 9610, 4510, 267, 18869, 476, 9610, 1839, 267, 13673, 476, 15647, 6860, 267, 610, 18869, 476, 25546, 1789, 4441, 563, 2690, 811, 1344, 267, 1294, 590, 10499, 944, 779, 7025, 8605, 13207, 25730, 630, 7968, 17762, 264, 2985, 563, 13126, 281, 8490, 3690, 10337, 454, 13126, 281, 12539, 15557, 17072, 454, 268, 5020, 9979, 5933, 547, 581, 3769, 538, 519, 700, 7563, 543, 18867, 538, 519, 661, 11520, 454, 268, 8177, 6688, 547, 581, 3769, 538, 1840, 547, 28047, 303, 454, 268, 4578, 602, 568, 1808, 547, 519, 3761, 5832, 267, 543, 799, 568, 2872, 2647, 630, 10090, 545, 994, 268, 595, 2642, 6703, 454, 21615, 617, 1221, 12539, 22020, 454, 268, 19940, 8490, 454, 2662, 1961, 8490, 5020, 18888, 10495, 630, 310, 13993, 7563, 994, 6524, 7598, 22993, 3327, 5786, 2994, 267, 621, 779, 16122, 547, 7447, 519, 2679, 779, 24579, 915, 3327, 11640, 543, 972, 616, 1614, 4485, 585, 3257, 602, 267, 4470, 593, 519, 8244, 540, 1239, 267, 1377, 540, 4674, 267, 543, 2877, 3877, 269, 634, 1101, 568, 513, 2347, 654, 13993, 7563, 267, 1519, 2679, 2326, 267, 4070, 543, 1439, 540, 1272, 2238, 269, 589, 654, 13993, 7563, 568, 519, 1034, 4977, 1505, 547, 7447, 22993, 3327, 543, 28047, 303, 538, 5656, 269, 1879, 2944, 2038, 538, 519, 1374, 11775, 267, 513, 654, 13993, 7563, 666, 1291, 547, 519, 6574, 20214, 538, 22993, 3327, 269, 1280, 1383, 267, 513, 654, 13993, 7563, 949, 1683, 4030, 602, 1291, 519, 1788, 2319, 547, 2015, 1896, 1374, 3681, 585, 1114, 7293, 1949, 267, 865, 602, 519, 1374, 609, 519, 9803, 22993, 3327, 666, 581, 9138, 563, 288, 2034, 1505, 547, 7447, 22993, 3327, 267, 952, 513, 654, 13993, 7563, 568, 711, 15164, 267, 568, 547, 2445, 661, 11520, 338, 543, 3950, 519, 9424, 267, 10672, 267, 16551, 267, 543, 824, 1587, 3344, 1210, 519, 2241, 9819, 538, 7612, 476, 272, 543, 2519, 593, 519, 1898, 2679, 2609, 7396, 538, 7612, 476, 273, 269, 15380, 267, 7293, 2326, 899, 6405, 543, 5374, 1118, 909, 519, 5354, 540, 513, 2679, 779, 22993, 3327, 269, 22982, 661, 11520, 338, 547, 19472, 20214, 6059, 1282, 1374, 676, 8506, 519, 4015, 540, 3761, 5832, 1808, 661, 11520, 338, 1282, 27147, 563, 13126, 281, 12539, 15557, 17072, 454, 290, 13072, 281, 2052, 12061, 5071, 454, 288, 3791, 1935, 267, 952, 513, 654, 13993, 7563, 543, 10655, 661, 11520, 338, 616, 711, 15164, 267, 568, 547, 946, 2872, 25939, 547, 7447, 519, 22993, 3327, 540, 513, 2679, 269, 634, 12539, 15557, 17072, 779, 21150, 617, 1221, 12539, 5484, 577, 5658, 5530, 9916, 936, 476, 272, 267, 1822, 2679, 31446, 2026, 543, 11943, 602, 519, 3355, 22993, 3327, 689, 8609, 589, 538, 513, 6093, 1007, 4070, 2679, 568, 1447, 982, 476, 272, 267, 1822, 4846, 2910, 273, 324, 829, 4009, 11281, 630, 5228, 519, 2497, 267, 5748, 267, 543, 26456, 1040, 476, 272, 267, 1822, 4846, 2910, 273, 324, 829, 4009, 11281, 666, 4196, 607, 513, 15977, 585, 1007, 4070, 3785, 3168, 547, 2569, 22993, 3327, 269, 634, 12539, 15557, 17072, 779, 654, 13993, 7563, 5484, 577, 5658, 5530, 642, 273, 786, 4228, 2390, 713, 1382, 547, 3313, 32321, 543, 1462, 10999, 1808, 14541, 12201, 585, 5656, 267, 1949, 267, 543, 32234, 24018, 609, 5812, 9165, 543, 4282, 1239, 563, 21615, 617, 1221, 12539, 22159, 11150, 454, 4407, 8093, 4492, 13674, 693, 1114, 1272, 4783, 5933, 13054, 519, 3119, 2707, 540, 23435, 294, 5434, 585, 1034, 3906, 267, 23435, 294, 17846, 3322, 513, 3376, 2039, 540, 2994, 602, 979, 1134, 3564, 1648, 543, 27147, 563, 268, 11154, 633, 19074, 540, 4540, 5656, 267, 3079, 540, 14335, 1007, 3283, 454, 268, 12539, 13297, 543, 5924, 1210, 1970, 28003, 6405, 30012, 454, 268, 28392, 6236, 3327, 25673, 2326, 971, 607, 6405, 267, 5374, 267, 543, 11956, 454, 268, 29922, 3327, 268, 2425, 6856, 532, 267, 6915, 2861, 2326, 630, 21666, 4859, 994, 268, 1234, 6748, 2326, 454, 268, 4635, 1164, 3146, 7094, 539, 1543, 2326, 454, 268, 3687, 30093, 3653, 454, 268, 19805, 2326, 609, 3476, 1272, 21269, 454, 294, 6347, 779, 22993, 3327, 4507, 585, 5606, 3175, 22159, 2920, 3785, 15407, 513, 4999, 540, 28047, 303, 7182, 543, 661, 11520, 4170, 585, 1978, 16179, 11162, 4070, 1570, 6688, 267, 4358, 609, 6405, 267, 28372, 267, 5374, 267, 543, 4837, 563, 3682, 10810, 618, 540, 8899, 21150, 617, 1221, 12539, 10049, 543, 15733, 454, 1320, 4454, 995, 4058, 543, 1374, 602, 3922, 3278, 1570, 4398, 543, 19074, 24024 ]

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

[ 1271, 547, 3142, 2620, 1145, 547, 519, 12092, 269, 1358, 666, 581, 4448, 547, 513, 1978, 1367, 779, 6107, 610, 7622, 4282, 269, 898, 568, 1271, 547, 2874, 540, 519, 4282, 540, 519, 1888, 779, 1272, 269, 4495, 519, 2875, 814, 6444, 6163, 267, 646, 610, 1352, 666, 1310, 602, 1376, 1603, 519, 2347, 12092, 563, 763, 15122, 6898, 616, 11338, 2629, 950, 2870, 513, 6915, 269, 589, 21044, 3948, 568, 513, 2647, 1523, 602, 11225, 519, 9759, 540, 606, 1367, 779, 1272, 269, 1280, 1383, 267, 952, 513, 1268, 1185, 513, 1272, 602, 838, 10165, 476, 6110, 1296, 267, 1352, 610, 646, 1131, 723, 2854, 513, 17728, 267, 799, 6257, 1010, 17017, 7552, 998, 1272, 269, 6787, 606, 1367, 729, 2840, 339, 1117, 538, 476, 1240, 628, 2540, 7977, 610, 5030, 538, 519, 2250, 267, 1010, 610, 1200, 12092, 568, 606, 2500, 7650, 547, 1272, 563, 5629, 27466, 525, 723, 2965, 6074, 741, 1888, 267, 789, 2154, 547, 3132, 513, 15415, 540, 519, 1367, 779, 1272, 269, 4635, 513, 1920, 4759, 585, 513, 4480, 1888, 568, 513, 1390, 1259, 547, 798, 713, 269, 1358, 991, 547, 1382, 519, 1883, 2621, 538, 519, 1367, 779, 1272, 267, 543, 1287, 5965, 891, 593, 513, 15415, 269, 1358, 666, 1331, 6337, 267, 2059, 609, 1202, 18587, 267, 538, 519, 15415, 269, 10801, 713, 5650, 267, 789, 991, 547, 3605, 519, 6163, 540, 741, 1888, 563, 763, 15122, 6898, 616, 1898, 267, 3226, 538, 513, 2875, 779, 12092, 269, 1452, 3616, 25730, 666, 5351, 1053, 1020, 513, 6209, 267, 538, 3829, 6915, 269, 634, 15122, 6898, 616, 1360, 1271, 267, 607, 789, 948, 519, 13588, 3489, 606, 1202, 3187, 2070, 540, 519, 1268, 1373, 12649, 269, 1358, 1058, 10123, 1589, 827, 519, 1888, 540, 519, 6915, 269, 1403, 519, 1888, 540, 519, 1979, 19212, 568, 606, 7164, 1297, 267, 1287, 513, 9661, 1759, 2390, 602, 786, 581, 849, 16866, 543, 20585, 269, 5502, 267, 519, 1650, 2115, 547, 581, 5143, 538, 513, 6073, 602, 2306, 519, 1641, 4743, 635, 325, 344, 563, 288, 1979, 19212, 11129, 547, 581, 3222, 540, 519, 6163, 538, 513, 1641, 779, 1272, 269, 1323, 26249, 1590, 581, 513, 2347, 3561, 540, 519, 1641, 779, 1272, 269, 634, 5856, 1058, 723, 513, 546, 9579, 1782, 4605, 540, 519, 1268, 779, 1272, 269, 634, 27367, 960, 11129, 547, 581, 4277, 269, 769, 1840, 547, 713, 267, 519, 2278, 2115, 547, 10123, 581, 2111, 547, 1921, 1010, 610, 1200, 1915, 543, 1915, 269, 769, 930, 2665, 267, 29946, 616, 2731, 2123, 267, 855, 1866, 616, 8806, 513, 1106, 540, 26249, 563, 763, 9135, 540, 12092, 568, 835, 540, 519, 1034, 9053, 1826, 540, 15923, 1603, 269, 769, 922, 15864, 1826, 267, 22808, 616, 2984, 827, 519, 1272, 540, 513, 1268, 269, 1452, 6589, 616, 3335, 1759, 2390, 1292, 2200, 267, 2705, 789, 666, 11338, 581, 29959, 269, 589, 27367, 960, 1058, 581, 4570, 543, 28102, 269, 1879, 621, 2501, 547, 513, 12092, 540, 513, 28910, 267, 519, 5856, 1058, 2061, 3765, 10517, 6974, 532, 519, 1641, 269, 2201, 1283, 540, 602, 267, 519, 5856, 814, 547, 11760, 519, 2959, 602, 19443, 3132, 3391, 779, 1570, 267, 543, 646, 610, 1352, 1058, 581, 28102, 543, 849, 9243, 538, 1010, 17017, 10385, 563, 763, 2511, 540, 513, 12092, 666, 4268, 14916, 267, 4470, 2390, 519, 6662, 540, 3391, 269, 898, 7173, 5661, 585, 513, 1979, 19212, 547, 17492, 19178, 543, 849, 30164, 3877, 538, 606, 4674, 547, 7866, 519, 7209, 540, 513, 1888, 269, 16480, 267, 6236, 602, 513, 6915, 568, 2356, 2854, 538, 519, 1101, 1367, 267, 519, 1979, 19212, 2115, 547, 10123, 6427, 1344, 547, 2347, 519, 5624, 269, 901, 568, 1813, 547, 519, 1249, 602, 1101, 11804, 6054, 568, 16613, 543, 849, 519, 5856, 1590, 1711, 1344, 547, 2995, 519, 1650, 563, 288, 6915, 568, 5921, 547, 581, 1483, 267, 855, 1979, 20802, 1419, 4413, 610, 17663, 5013, 269, 1358, 4043, 547, 1711, 689, 741, 1360, 1378, 21169, 543, 849, 538, 519, 1101, 1367, 269, 589, 1979, 19212, 779, 1603, 2511, 568, 4749, 4646, 676, 519, 1576, 267, 4008, 267, 607, 1134, 607, 942, 538, 799, 513, 1268, 5030, 269, 2755, 513, 6915, 568, 3622, 7282, 513, 1268, 267, 621, 4749, 13290, 547, 4983, 741, 1915, 269, 4014, 519, 1979, 19212, 568, 711, 3622, 513, 18673, 267, 930, 723, 5910, 2105, 547, 581, 269, 5192, 811, 9623, 454, 763, 6915, 11768, 729, 1101, 1500, 946, 540, 538, 6196, 10255, 543, 7507, 267, 1141, 519, 9135, 568, 5219, 547, 607, 968, 321, 1470, 1848, 634, 4279, 1756, 14087, 1807, 636, 23554, 2801, 676, 12397, 601, 3780, 13605, 657, 630, 4510, 14514, 264, 543, 1773, 583, 1105, 779, 5772, 673, 22032, 630, 3199, 9460, 264, 19017, 476, 4366, 22808, 540, 2442, 9038, 269, 2672, 17662, 3780, 267, 1776, 4936, 5856, 267, 5206, 519, 1101, 17169, 267, 25840, 19332, 269, 1261, 11338, 7768, 12964, 824, 17169, 19777, 538, 519, 4936, 7464, 332, 269, 589, 1906, 540, 891, 22036, 2221, 269, 0, 763, 2504, 540, 4837, 568, 606, 2872, 602, 814, 5185, 2591, 538, 519, 2250, 1906, 1296, 1813, 547, 519, 3668, 540, 8244, 540, 5070, 269, 4595, 5070, 3029, 519, 4493, 585, 519, 5478, 540, 4837, 267, 621, 5526, 602, 5001, 17732, 1223, 1360, 1134, 1764, 4213, 269, 634, 2376, 2630, 13290, 547, 2232, 713, 1966, 543, 875, 621, 949, 1860, 4213, 5001, 563, 14112, 720, 2986, 19371, 28620, 24371, 454, 32481, 519, 1158, 267, 4830, 4213, 1590, 2327, 602, 789, 723, 7123, 2326, 267, 7850, 3854, 267, 543, 513, 9952, 13781, 269, 1452, 616, 782, 1898, 952, 1870, 5411, 616, 547, 581, 2386, 741, 3761, 11800, 616, 2324, 3927, 563, 3719, 1256, 609, 891, 30304, 267, 7965, 666, 8451, 30122, 269, 2290, 540, 891, 568, 519, 1761, 17732, 540, 4837, 799, 666, 2014, 688, 22106, 538, 1082, 6080, 882, 5050, 593, 4837, 585, 741, 1898, 3282, 14569, 609, 16945, 563, 6124, 4837, 19698, 454, 10908, 817, 568, 1031, 547, 1118, 1082, 2472, 538, 938, 5321, 543, 13646, 269, 19371, 9486, 543, 9885, 267, 4837, 7515, 267, 543, 6995, 7515, 782, 7048, 593, 4837, 585, 741, 5347, 8647, 543, 4222, 269, 13068, 610, 512, 842, 539, 14296, 616, 1031, 538, 1818, 6174, 12798, 920, 839, 607, 1134, 607, 1896, 824, 3096, 269, 1452, 3688, 3112, 581, 1500, 1510, 519, 8244, 540, 519, 3119, 1570, 267, 799, 568, 4837, 563, 11997, 1022, 1689, 538, 519, 8244, 540, 4837, 1223, 2014, 20317, 610, 20317, 538, 891, 3688, 269, 1879, 713, 4523, 267, 3549, 6721, 971, 2472, 786, 581, 4547, 547, 741, 19704, 543, 1522, 5555, 723, 547, 2673, 1524, 585, 1434, 269, 769, 930, 2665, 267, 789, 949, 6467, 547, 1818, 1114, 2472, 602, 798, 711, 946, 4837, 267, 855, 713, 4781, 568, 711, 2009, 538, 782, 8320, 563, 2419, 5190, 538, 1374, 543, 4070, 540, 5656, 454, 9743, 718, 566, 540, 4837, 9486, 543, 9885, 538, 1007, 5656, 610, 1256, 7816, 960, 547, 4540, 3283, 568, 513, 4305, 602, 4667, 7168, 2653, 950, 3379, 609, 824, 4070, 1568, 269, 12305, 566, 540, 9486, 610, 9885, 666, 581, 2944, 3533, 267, 855, 713, 5673, 593, 519, 8244, 540, 4837, 538, 1585, 7306, 563, 2252, 519, 4837, 2450, 2877, 585, 4070, 568, 711, 2139, 267, 26767, 786, 581, 7142, 547, 3343, 856, 824, 3681, 267, 799, 949, 1942, 873, 811, 538, 2474, 540, 942, 543, 2724, 269, 901, 786, 849, 1291, 547, 513, 8488, 538, 11264, 519, 1788, 1510, 1022, 8969, 269, 6270, 2042, 666, 2014, 9645, 9271, 547, 3959, 5411, 610, 2679, 2359, 10909, 3238, 609, 519, 22058, 725, 610, 4070, 540, 1007, 5656, 563, 9209, 1235, 946, 1114, 4773, 540, 4837, 267, 799, 616, 1500, 538, 1114, 5546, 543, 7306, 585, 741, 960, 269, 19371, 568, 1031, 607, 606, 1569, 800, 547, 14446, 1818, 267, 642, 1162, 267, 24112, 267, 543, 824, 3688, 602, 2154, 519, 5898, 540, 2603, 542, 538, 513, 4837, 11480, 3640, 547, 9148, 875, 789, 1413, 269, 4634, 952, 5159, 4782, 547, 946, 513, 1880, 2186, 540, 4837, 1317, 540, 922, 4241, 7990, 610, 9403, 267, 513, 17732, 538, 519, 8244, 540, 971, 4837, 786, 4734, 873, 609, 1100, 4781, 855, 547, 6467, 547, 824, 5686, 799, 949, 711, 723, 519, 1482, 1198, 563, 10908, 817, 568, 606, 1898, 25499, 540, 1286, 9486, 543, 2842, 3333, 3658, 269, 769, 519, 2250, 1906, 1296, 267, 972, 814, 1044, 513, 17732, 540, 4837, 1813, 547, 1585, 4128, 269, 1403, 713, 5012, 547, 513, 2407, 8397, 20317, 267, 1286, 9755, 786, 581, 2838, 547, 556, 20459, 741, 6272, 543, 723, 1100, 4781, 855, 547, 1118, 9486, 602, 616, 711, 1500, 689, 4837, 269, 634, 2872, 949, 3442, 547, 946, 15229, 3079, 1317, 891, 2326, 666, 2285, 2147, 2164, 607, 4837, 1510, 519, 2042, 1282, 2504, 1813, 547, 3668, 540, 8244, 563, 10908, 817, 568, 1031, 547, 1118, 31316, 1115, 267, 29826, 267, 7515, 267, 642, 1162, 267, 543, 824, 1455, 3688, 538, 5321, 610, 4213, 269, 7102, 17732, 540, 4837, 666, 2014, 7965, 1317, 2504, 786, 581, 8572, 547, 1832, 909, 609, 3747, 799, 1223, 1118, 1896, 9755, 6336, 8907, 563, 1432, 2052, 2142, 667, 821, 1677, 21079, 634, 11485, 2986, 19371, 10374, 1137, 888, 4407, 1082, 4213, 616, 7255, 609, 9319, 22520, 267, 930, 3268, 666, 581, 3144, 547, 2569, 519, 1981, 540, 2110, 3761, 269, 4634, 952, 513, 2754, 814, 711, 11402, 713, 1966, 1354, 267, 621, 568, 1898, 547, 2015, 875, 621, 1223, 4755, 543, 1018, 1522, 581, 2944, 563, 3528, 2921, 519, 942, 1631, 547, 1589, 998, 891, 7399, 267, 3549, 786, 1745, 811, 5150, 1058, 789, 7237, 606, 6397, 17732, 538, 519, 2104, 269, 1703, 616, 1585, 2994, 602, 4213, 666, 2936, 547, 2569, 519, 1981, 540, 22520, 269, 1358, 1331, 3248, 10908, 817, 568, 1419, 13381, 1813, 547, 922, 1279, 14438, 267, 865, 9657, 2025, 4837, 2472, 568, 606, 5140, 1259, 585, 9755, 547, 4688, 2724, 543, 3132, 1007, 3283, 609, 7864, 2326, 269, 901, 2337, 3549, 4688, 2724, 543, 14014, 519, 1604, 676, 4227, 519, 952, 6151, 2326, 2877, 585, 2504, 563, 8794, 7756, 15733, 454, 8794, 13381, 4837, 267, 4213, 1223, 1413, 693, 824, 8925, 971, 607, 15229, 543, 23907, 269, 1452, 3681, 786, 711, 581, 607, 1279, 18835, 607, 1346, 1500, 689, 4837, 282, 2705, 267, 789, 666, 581, 811, 1942, 15807, 585, 3549, 547, 946, 3232, 563, 23804, 589, 1715, 4675, 17067, 454, 2252, 513, 1870, 5781, 3096, 4837, 267, 789, 616, 693, 1981, 540, 22520, 1813, 547, 741, 16126, 593, 835, 18261, 269, 15531, 4244, 14273, 786, 1611, 1447, 3747, 5116, 2390, 891, 3549, 267, 799, 6971, 519, 1297, 540, 1761, 2042, 269, 2986, 1576, 267, 713, 1797, 602, 4213, 786, 723, 547, 2628, 811, 585, 741, 7727, 267, 855, 621, 1223, 581, 606, 5092, 4502, 1818, 563, 2252, 972, 568, 513, 17732, 540, 4837, 538, 519, 2344, 267, 4213, 991, 547, 1577, 1761, 5561, 917, 827, 621, 269, 1403, 789, 616, 31464, 547, 6467, 14273, 610, 946, 1114, 2326, 267, 6800, 666, 948, 4213, 1689, 741, 7180, 543, 1413, 585, 8925, 563, 10908, 817, 22520, 666, 3648, 1764, 4213, 267, 5631, 952, 789, 7048, 2390, 1808, 2010, 540, 4837, 585, 2504, 3157, 269, 2368, 6080, 616, 811, 2693, 547, 581, 4299, 676, 713, 1966, 982, 1866, 267, 855, 972, 616, 1585, 2081, 538, 799, 3549, 666, 2569, 519, 1981, 540, 17732, 563, 10908, 817, 568, 606, 1271, 20161, 585, 6080, 899, 4070, 267, 16669, 5663, 267, 543, 3782, 269, 634, 17732, 540, 4837, 814, 1044, 18363, 4213, 269, 1703, 568, 513, 2603, 540, 10462, 827, 1018, 519, 2104, 6585, 609, 782, 519, 2487, 29388, 543, 4123, 10617, 267, 855, 835, 3364, 649, 666, 581, 2386, 540, 568, 602, 972, 786, 3136, 547, 581, 606, 2799, 3747, 585, 1007, 2326, 547, 1118, 909, 585, 713, 17211, 563, 4415, 519, 17732, 538, 3761, 540, 4837, 267, 596, 991, 547, 1118, 2386, 707, 1870, 814, 513, 1544, 645, 538, 1747, 952, 1022, 21463, 610, 17799, 1223, 1860, 2504, 269, 0, 306, 580, 21105, 5984, 9412, 1548, 568, 590, 580, 21105, 5984, 9412, 17214, 2986, 888, 306, 580, 21105, 5984, 9412, 7768, 540, 25342, 267, 543, 568, 5176, 476, 1220, 7397, 7381, 269, 898, 568, 519, 2182, 2989, 29351, 11690, 540, 513, 1279, 268, 518, 10757, 18962, 269, 898, 729, 4646, 936, 1079, 5479, 1296, 3516, 950, 519, 1858, 1472, 590, 580, 21105 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 276, 12085, 513, 6089, 2860, 31848, 6499, 547, 2995, 1004, 454, 763, 1977, 9435, 5980, 4114, 23660, 602, 1142, 1032, 936, 476, 9965, 267, 1822, 1977, 2021, 543, 476, 273, 267, 1822, 1977, 2367, 786, 581, 4857, 609, 6089, 2860, 563, 17954, 770, 2860, 568, 849, 519, 3119, 2014, 540, 2669, 10838, 2021, 1063, 476, 2412, 543, 476, 4649, 1296, 540, 2085, 543, 568, 519, 2034, 2489, 2601, 540, 2669, 1851, 2021, 799, 568, 20546, 539, 1152, 676, 5761, 2860, 269, 24664, 1176, 267, 519, 9019, 2557, 689, 6089, 2860, 814, 4389, 538, 2487, 1296, 609, 606, 4824, 2566, 593, 2038, 7020, 543, 811, 2500, 524, 999, 563, 288, 3896, 4280, 930, 6089, 2860, 15000, 547, 2671, 930, 5013, 585, 2489, 1857, 543, 1934, 568, 930, 1344, 602, 513, 6089, 2860, 31848, 4941, 1866, 547, 917, 563, 272, 1548, 568, 6089, 2860, 888, 4692, 1356, 5956, 950, 2281, 1376, 547, 1332, 856, 540, 1852, 269, 9435, 666, 1860, 2281, 538, 3592, 1022, 851, 540, 519, 1560, 543, 621, 666, 849, 3262, 547, 824, 2694, 540, 519, 1560, 269, 2290, 971, 2860, 568, 6089, 2860, 267, 1945, 602, 476, 272, 538, 476, 279, 1977, 4807, 568, 6059, 547, 581, 8995, 609, 543, 1256, 2367, 616, 711, 2922, 689, 621, 563, 17954, 770, 2860, 568, 513, 23872, 10510, 602, 6238, 538, 519, 2281, 538, 519, 1858, 540, 519, 6089, 269, 901, 10510, 3568, 513, 1895, 540, 2860, 2281, 602, 723, 519, 12588, 547, 3262, 883, 7404, 8031, 610, 543, 849, 22037, 553, 1125, 547, 1114, 2694, 540, 519, 1560, 269, 23213, 2860, 568, 1455, 3592, 4625, 538, 2021, 563, 288, 6089, 2860, 31848, 729, 4280, 547, 2671, 930, 1344, 609, 1857, 543, 713, 568, 1018, 602, 31848, 6499, 519, 1004, 547, 917, 563, 273, 898, 666, 4755, 547, 4896, 454, 299, 1824, 540, 8561, 568, 2016, 593, 2834, 6089, 18362, 610, 7882, 9999, 269, 634, 2816, 540, 7882, 9999, 568, 547, 5469, 2860, 1354, 10832, 2049, 267, 855, 3006, 2860, 568, 7357, 14406, 593, 513, 7882, 6945, 563, 2026, 621, 568, 267, 519, 1034, 1455, 10835, 540, 6089, 2860, 568, 513, 26686, 610, 2527, 538, 519, 28244, 799, 568, 1928, 1652, 855, 11207, 18476, 950, 20109, 269, 1809, 2687, 547, 519, 1977, 9435, 5980, 263, 3722, 306, 1070, 972, 616, 930, 824, 23053, 12077, 11926, 267, 1928, 538, 519, 562, 21451, 610, 6089, 267, 25017, 593, 519, 6089, 267, 11315, 1145, 540, 6089, 2960, 267, 610, 13888, 2287, 540, 519, 562, 21451, 610, 6089, 2960, 282, 543, 11166, 689, 519, 562, 21451, 602, 3884, 1406, 6089, 5144, 563, 763, 589, 5425, 5359, 602, 811, 982, 476, 5952, 2600, 540, 2021, 945, 1205, 8995, 609, 6089, 2860, 949, 723, 1100, 1920, 1686, 540, 519, 2068, 563, 274, 6314, 334, 814, 811, 2427, 2360, 982, 4552, 2530, 454, 29995, 519, 2126, 540, 1022, 2860, 568, 2447, 334, 543, 5982, 269, 1809, 1312, 540, 873, 2097, 609, 3978, 2427, 2360, 269, 23883, 18068, 267, 2094, 621, 3322, 7630, 532, 1482, 29406, 2281, 883, 519, 1560, 538, 1931, 547, 6146, 824, 29406, 2281, 563, 29995, 1004, 7985, 689, 4552, 2530, 1813, 547, 2447, 334, 267, 855, 824, 2427, 2360, 616, 3668, 540, 14000, 267, 596, 4465, 1406, 1745, 519, 991, 547, 3548, 4376, 269, 898, 849, 3123, 4049, 15353, 543, 13481, 1813, 547, 1560, 32232, 547, 519, 4914, 2860, 2281, 269, 16828, 519, 1560, 779, 4761, 1062, 4991, 865, 25356, 865, 1454, 602, 8467, 543, 9854, 5036, 538, 563, 8448, 2427, 2360, 616, 15319, 1145, 540, 10549, 267, 3819, 1145, 538, 5023, 543, 1256, 2597, 2744, 563, 275, 4634, 2367, 666, 1205, 6089, 2860, 454, 8133, 267, 1256, 2367, 666, 1205, 6089, 2860, 269, 1306, 596, 1590, 723, 6594, 267, 602, 649, 782, 11457, 689, 513, 2582, 1591, 543, 621, 779, 1310, 4374, 649, 616, 575, 25311, 538, 519, 27042, 1310, 10416, 2713, 607, 4775, 585, 513, 1279, 942, 269, 2334, 779, 519, 2601, 2367, 1869, 723, 562, 31454, 543, 849, 930, 6089, 5160, 269, 1656, 8754, 666, 849, 1020, 6089, 2860, 563, 763, 1034, 1455, 5256, 6089, 4524, 568, 1634, 607, 21859, 928, 1260, 770, 807, 269, 898, 568, 711, 513, 10510, 855, 10169, 513, 2208, 538, 519, 2179, 540, 513, 812, 779, 6089, 5160, 269, 21859, 928, 1260, 770, 807, 666, 3100, 607, 513, 7735, 6438, 2208, 896, 519, 562, 21451, 543, 616, 7637, 799, 666, 581, 5433, 543, 3006, 1256, 2938, 563, 294, 344, 928, 1260, 770, 807, 568, 1360, 1455, 538, 18295, 8695, 1317, 540, 519, 2242, 741, 1560, 25457, 7064, 547, 23648, 543, 519, 3666, 540, 10399, 1205, 22841, 269, 1656, 519, 1482, 2601, 621, 568, 1455, 10838, 4587, 2367, 563, 276, 23213, 2450, 3085, 1406, 2339, 454, 10144, 1589, 602, 2021, 609, 2901, 1932, 1507, 28244, 610, 1932, 1804, 28244, 723, 519, 1981, 540, 6089, 2860, 1813, 547, 2179, 540, 5160, 3238, 269, 1809, 2965, 519, 2450, 540, 707, 28244, 4249, 1100, 1909, 538, 707, 1981, 585, 3478, 8995, 609, 6089, 2860, 269, 1656, 519, 1482, 666, 581, 4294, 547, 519, 7020, 540, 2860, 1210, 513, 7882, 6945, 563, 2108, 2026, 1279, 607, 519, 1099, 6048, 666, 1205, 519, 5160, 1369, 519, 10824, 547, 14771, 621, 543, 1205, 519, 3239, 2944, 2443, 799, 789, 666, 3592, 2141, 798, 2443, 972, 12582, 1406, 581, 513, 1966, 267, 968, 338, 904, 3220, 4024, 578, 945, 568, 513, 18490, 4274, 538, 6089, 2860, 563, 9515, 849, 3081, 602, 3478, 8995, 609, 2860, 5673, 593, 2436, 610, 711, 596, 610, 513, 10629, 666, 1745, 513, 29406, 10510, 538, 519, 6089, 269, 898, 849, 5673, 593, 875, 2673, 519, 10510, 568, 547, 519, 2960, 267, 922, 2450, 543, 519, 9403, 540, 707, 2960, 543, 519, 4087, 540, 519, 10510, 269, 898, 814, 4986, 547, 798, 609, 875, 1507, 610, 2462, 707, 28244, 616, 563, 277, 631, 770, 26618, 568, 711, 2141, 519, 1655, 2126, 454, 300, 770, 26618, 568, 519, 6391, 2944, 547, 4894, 835, 610, 1312, 28244, 538, 1931, 547, 1205, 7759, 540, 519, 29406, 2208, 610, 2061, 519, 2860, 689, 10825, 883, 824, 2694, 540, 519, 1560, 538, 2021, 609, 1164, 1981, 563, 3719, 607, 1336, 856, 267, 621, 568, 711, 519, 1655, 1259, 547, 979, 2141, 1282, 2126, 540, 6089, 2860, 269, 4595, 6089, 2860, 1281, 711, 3262, 689, 6089, 547, 6089, 267, 519, 1981, 540, 3478, 2860, 538, 707, 2635, 6089, 4422, 1524, 609, 942, 607, 519, 5061, 543, 2447, 334, 2016, 547, 1521, 519, 2860, 6971, 519, 4960, 540, 621, 1818, 1007, 29406, 2281, 563, 9827, 585, 2021, 945, 616, 8995, 609, 2860, 267, 855, 798, 711, 723, 513, 4719, 15817, 267, 8851, 540, 6089, 798, 4986, 547, 10804, 519, 1272, 269, 0, 310, 514, 7615, 8845, 729, 4535, 543, 13473, 538, 9098, 269, 1261, 8678, 519, 7952, 607, 513, 23071, 538, 476, 5197, 279, 267, 543, 1282, 519, 2782, 540, 476, 8687, 273, 630, 8687, 273, 268, 8687, 276, 264, 729, 15469, 547, 32531, 611, 1512, 2489, 543, 4607, 519, 6837, 1308, 7108, 29274, 269, 1261, 729, 12912, 519, 8136, 779, 4971, 532, 2489, 538, 476, 7277, 272, 543, 6039, 538, 602, 2022, 585, 519, 1985, 476, 736, 1296, 269, 8845, 729, 513, 3084, 5869, 1310, 3056, 835, 540, 519, 1079, 32415, 20679, 1282, 519, 11204, 12677, 2782, 630, 7277, 277, 268, 7277, 279, 264, 543, 7674, 607, 30939, 4108, 17294, 540, 6792, 4975, 267, 543, 4607, 513, 2034, 6837, 1308, 7108, 29274, 269, 769, 476, 6977, 273, 519, 1733, 580, 9549, 9930, 3990, 1864, 607, 741, 16232, 11134, 269, 4014, 646, 4503, 547, 15284, 623, 15127, 267, 646, 7283, 2442, 609, 519, 1857, 543, 4607, 513, 1786, 23439, 13319, 547, 9114, 23133, 2489, 269, 1261, 729, 476, 10619, 1296, 2025, 543, 7092, 689, 1585, 22074, 693, 519, 1376, 540, 519, 1977, 6406, 2782, 269, 4014, 646, 729, 513, 7910, 1014, 267, 538, 4334, 547, 7917, 661, 269, 10557, 267, 8845, 7283, 10121, 547, 519, 5742, 543, 6039, 607, 14062, 12493, 779, 9030, 4108, 9666, 518, 693, 519, 4098, 540, 519, 2112, 269, 1261, 22885, 540, 513, 12675, 3625, 1228, 540, 7013, 16788, 5497, 547, 524, 23774, 548, 519, 3162, 779, 4346, 267, 543, 1287, 6494, 4229, 1524, 519, 14967, 9503, 269, 12493, 1305, 11735, 519, 1544, 538, 3870, 540, 3843, 547, 3533, 24807, 519, 18326, 267, 543, 6723, 15966, 548, 961, 534, 8719, 519, 11361, 2489, 267, 945, 19622, 547, 4639, 8672, 269, 8845, 779, 3625, 1228, 4640, 729, 5555, 642, 785, 5344, 543, 2968, 851, 540, 519, 5742, 779, 3811, 14710, 540, 519, 28583, 2329, 563, 763, 8313, 17099, 593, 713, 12776, 1748, 1592, 1079, 1071, 1790, 889, 14215, 281, 918, 749, 17344, 267, 513, 30508, 17002, 540, 519, 1974, 1454, 538, 519, 1482, 9135, 607, 4354, 8175, 543, 594, 1407, 267, 543, 6723, 1733, 1746, 267, 609, 606, 2232, 2016, 607, 476, 9262, 674, 738, 517, 9335, 267, 799, 568, 1141, 918, 749, 17344, 10443, 513, 1715, 3840, 5604, 2394, 1472, 476, 5908, 271, 269, 634, 18724, 902, 543, 519, 918, 749, 690, 7714, 10423, 569, 9783, 513, 1297, 540, 16493, 1927, 267, 1519, 513, 17855, 540, 14062, 12493, 950, 646, 729, 4881, 585, 7022, 563, 763, 918, 749, 690, 7714, 941, 12776, 20802, 3742, 538, 19134, 5112, 267, 21086, 267, 1715, 3840, 4975, 543, 30159, 267, 1715, 3840, 269, 1358, 3812, 606, 10373, 1297, 540, 3109, 7146, 22554, 543, 1688, 23469, 12776, 21106, 1282, 519, 476, 866, 628, 2540, 267, 2034, 1152, 547, 741, 29629, 2456, 543, 15712, 4354, 8175, 1299, 594, 1407, 269, 634, 21086, 8466, 5980, 814, 3592, 476, 272, 267, 1822, 12776, 21106, 676, 519, 918, 749, 690, 7714, 538, 741, 4015, 267, 1519, 2366, 14939, 10207, 267, 5784, 540, 10034, 543, 5656, 267, 23609, 543, 3140, 10207, 971, 607, 6406, 2782, 12959, 563, 763, 918, 749, 17344, 6109, 729, 8547, 676, 12253, 19159, 918, 749, 17344, 630, 5197, 278, 268, 6942, 275, 1070, 945, 10660, 1229, 13629, 20522, 543, 2442, 12776, 21106, 538, 519, 2136, 2276, 896, 519, 2012, 667, 15030, 269, 918, 749, 17344, 1299, 3213, 269, 538, 19134, 5112, 827, 476, 8146, 274, 269, 15907, 476, 7277, 274, 269, 646, 729, 8678, 676, 1010, 14552, 31611, 8738, 651, 918, 749, 17344, 630, 5197, 280, 268, 6942, 273, 264, 543, 18379, 26400, 28331, 2006, 918, 749, 17344, 630, 8687, 272, 268, 6642, 272, 1070, 945, 3459, 9467, 607, 661, 11065, 269, 543, 661, 5861, 269, 918, 749, 17344, 269, 31611, 1185, 513, 4282, 607, 513, 19784, 543, 9375, 543, 18379, 26400, 729, 8036, 607, 606, 23678, 591, 282, 646, 849, 729, 835, 540, 519, 1101, 538, 519, 772, 2529, 269, 547, 9742, 29607, 31567, 543, 5206, 1521, 2478, 593, 3165, 2528, 269, 4256, 6109, 729, 2212, 32483, 1229, 693, 476, 15793, 6301, 9335, 538, 19134, 5112, 2394, 476, 6977, 273, 269, 634, 918, 749, 690, 7714, 849, 1185, 13646, 538, 1715, 3840, 609, 9710, 864, 774, 9707, 538, 630, 7277, 277, 268, 5325, 1070, 808, 14371, 269, 1290, 18450, 630, 7277, 280, 268, 7367, 1070, 543, 27502, 1510, 4891, 2394, 827, 476, 5908, 271, 269, 8176, 661, 269, 918, 749, 17344, 267, 5067, 540, 661, 11065, 1421, 8678, 519, 1870, 538, 476, 5908, 271, 269, 769, 476, 6942, 272, 267, 5261, 8361, 10089, 18403, 8678, 519, 6109, 543, 9333, 809, 513, 2101, 556, 32360, 540, 519, 1870, 883, 513, 3811, 8228, 2777, 1572, 918, 749, 17344, 1299, 10089, 18403, 267, 21751, 538, 10477, 6985, 14663, 21106, 269, 634, 6109, 2663, 24673, 609, 8865, 267, 24522, 6229, 1299, 11020, 731, 547, 1106, 21086, 11010, 1562, 538, 476, 3707, 278, 563, 763, 4408, 540, 7671, 623, 269, 1733, 1746, 543, 1010, 4651, 6723, 1733, 1746, 849, 2408, 538, 519, 17099, 540, 930, 918, 749, 17344, 16493, 269, 6723, 1733, 1746, 2968, 519, 918, 749, 690, 7714, 685, 9030, 1715, 3840, 8665, 538, 476, 7277, 279, 543, 5249, 585, 873, 2394, 789, 6806, 741, 1715, 3840, 5604, 538, 476, 5908, 271, 269, 3571, 2012, 267, 28484, 968, 294, 269, 1733, 1746, 2223, 7902, 593, 918, 749, 17344, 16493, 2394, 476, 5908, 273, 267, 950, 1733, 1746, 5747, 543, 1010, 5067, 267, 7671, 623, 269, 1733, 1746, 267, 3576, 936, 607, 519, 918, 749, 690, 7714, 685, 1071, 1790, 889, 10091, 543, 2733, 12460, 269, 16024, 1014, 27211, 5685, 26792, 4967, 602, 519, 29501, 968, 293, 10422, 269, 1733, 1746, 892, 5526, 593, 918, 749, 17344, 16493, 9783, 1063, 476, 5908 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 298, 15598, 267, 31780, 779, 513, 8738, 3455, 3751, 1660, 6403, 5212, 332, 6403, 339, 333, 719, 562, 328, 25155, 523, 6403, 8835, 773, 297, 706, 798, 547, 14833, 454, 16675, 701, 864, 16231, 6243, 6462, 513, 26278, 1788, 676, 6424, 570, 384, 505, 20795, 6403, 985, 330, 383, 377, 543, 9324, 13453, 15662, 510, 339, 384, 505, 337, 321, 990, 5451, 945, 4682, 547, 519, 19384, 2829, 540, 589, 920, 543, 8835, 553, 547, 3561, 519, 5222, 540, 713, 1032, 779, 14042, 11642, 538, 519, 8835, 7733, 593, 6805, 1004, 269, 3767, 5682, 701, 864, 568, 4543, 519, 21706, 547, 3262, 519, 2984, 540, 1004, 7092, 1317, 540, 519, 11642, 269, 5811, 540, 519, 14616, 8513, 18327, 602, 7087, 14316, 2127, 941, 1454, 811, 1419, 6098, 676, 18532, 11642, 713, 1032, 982, 538, 3105, 1296, 563, 7628, 5181, 543, 5239, 267, 16231, 21706, 10272, 1079, 6805, 11031, 1107, 21373, 328, 27173, 514, 543, 7442, 584, 2088, 1107, 543, 835, 2199, 5214, 16027, 269, 2353, 1614, 2665, 616, 5532, 676, 519, 1249, 602, 519, 1004, 13006, 593, 519, 5961, 723, 4503, 2694, 540, 741, 1753, 543, 2702, 547, 723, 513, 4264, 17612, 563, 29378, 11182, 723, 5185, 811, 7928, 543, 7839, 11642, 713, 1032, 267, 2687, 547, 519, 5767, 1239, 689, 519, 2817, 4659, 585, 6611, 3194, 630, 2562, 14154, 1040, 634, 1239, 1397, 602, 519, 20737, 945, 1305, 3595, 547, 7733, 616, 22393, 22215, 6870, 7087, 2127, 269, 634, 8041, 267, 799, 1058, 2149, 519, 6805, 11182, 689, 19883, 543, 8781, 267, 616, 896, 519, 12081, 540, 8478, 779, 1007, 7022, 808, 1515, 12157, 5459, 16619, 945, 814, 18604, 873, 2759, 741, 23348, 563, 763, 1297, 540, 11642, 538, 8835, 1014, 7087, 3338, 811, 982, 23060, 538, 519, 1101, 8370, 3275, 540, 476, 1001, 280, 267, 3379, 609, 519, 1482, 1974, 2063, 1032, 267, 8375, 689, 476, 273, 267, 276, 4510, 547, 476, 276, 267, 14065, 269, 11094, 4559, 538, 519, 22986, 4718, 513, 476, 8618, 260, 4473, 538, 3595, 28326, 26105, 267, 689, 476, 277, 267, 4281, 277, 547, 476, 1015, 267, 280, 866, 267, 538, 519, 1482, 1974, 563, 299, 4157, 5451, 20795, 670, 337, 5451, 31990, 267, 13382, 595, 313, 2046, 11464, 267, 3081, 912, 29467, 616, 7899, 540, 2984, 540, 18354, 543, 21817, 899, 519, 3283, 16231, 21706, 538, 8478, 723, 14754, 713, 1032, 269, 10251, 267, 519, 4550, 268, 1815, 1670, 4507, 540, 7022, 12157, 5459, 16619, 723, 12592, 2199, 20737, 945, 1305, 3595, 547, 519, 7733, 547, 28117, 519, 1034, 6870, 2127, 1141, 7087, 11031, 2661, 1848, 0, 15507, 519, 594, 4047, 18482, 540, 2657, 10803, 454, 8005, 12160, 919, 538, 15765, 2274, 15370, 888, 24478, 528, 281, 10803, 4516, 454, 290, 20975, 281, 8447, 11314, 454, 30475, 281, 2168, 2534, 454, 14457, 267, 476, 279, 3817, 563, 22154, 2376, 5654, 693, 519, 3742, 16837, 2238, 540, 23671, 9907, 476, 736, 543, 936, 269, 5384, 14025, 1019, 2456, 11863, 2079, 540, 519, 1826, 543, 3259, 540, 2238, 2944, 593, 513, 2016, 1554, 269, 4635, 1239, 689, 519, 476, 1960, 273, 543, 476, 1220, 276, 4937, 4317, 24028, 903, 630, 294, 7704, 1070, 649, 786, 1413, 693, 3466, 538, 3742, 16837, 7589, 3928, 689, 476, 1960, 273, 547, 476, 1220, 276, 269, 1284, 786, 849, 4983, 799, 2516, 616, 811, 2693, 547, 7119, 538, 3742, 16837, 538, 476, 1220, 276, 3034, 27237, 292, 281, 901, 7300, 568, 2895, 1882, 269, 1677, 1569, 621, 267, 4945, 519, 2140, 3095, 7396, 2630, 519, 968, 19425, 1882, 910, 7300, 3561, 892, 16144, 269, 0, 6097, 547, 8387, 538, 519, 1533, 540, 4639, 9098, 267, 7264, 616, 1631, 1210, 654, 5684, 1975, 2001, 607, 606, 4244, 1106, 540, 29034, 2086, 2867, 8533, 269, 634, 4639, 9098, 3557, 17318, 568, 10912, 621, 513, 834, 3832, 777, 4368, 257, 585, 519, 3075, 543, 723, 3957, 621, 834, 24078, 4771, 2668, 834, 5804, 1018, 649, 2811, 1373, 5143, 267, 952, 596, 946, 621, 267, 596, 917, 267, 596, 1522, 946, 621, 2899, 610, 7466, 543, 581, 5386, 267, 855, 519, 3791, 942, 950, 707, 1560, 16125, 602, 13027, 5114, 267, 621, 666, 6146, 596, 2437, 590, 25885, 269, 8176, 27659, 874, 514, 1767, 269, 7797, 539, 2427, 2360, 1331, 20093, 1738, 2623, 267, 3665, 11926, 267, 543, 25017, 540, 519, 3946, 543, 3952, 563, 6097, 547, 513, 2487, 1353, 593, 623, 4382, 1938, 2944, 676, 519, 2160, 540, 27228, 6441, 514, 11181, 267, 12877, 516, 628, 5514, 568, 519, 3114, 1336, 538, 729, 335, 10936, 602, 568, 519, 2014, 540, 519, 13027, 6547, 269, 674, 7614, 13027, 6547, 616, 2864, 16613, 855, 513, 1268, 1223, 581, 12517, 8914, 539, 267, 2687, 547, 3220, 269, 681, 9801, 5112, 14986, 540, 519, 9098, 7313, 2581, 6513, 563, 4002, 11016, 267, 5147, 476, 1321, 267, 476, 1001, 280, 267, 476, 274, 30072, 7972, 941, 4080, 538, 4425, 821, 6019, 267, 4639, 9098, 689, 519, 946, 540, 654, 5684, 1975, 2001, 269, 2201, 602, 1482, 1554, 267, 476, 1789, 23691, 540, 654, 5684, 1975, 2001, 941, 4421, 538, 4425, 821, 6019, 4805, 563, 306, 21788, 4753, 22829, 2567, 16737, 21158, 267, 705, 322, 278, 2593, 267, 13235, 21158, 0, 4338, 5274, 17323, 1053, 3180, 909, 2247, 7851, 789, 16668, 540, 741, 16973, 267, 8380, 883, 2259, 7047, 2762, 1983, 789, 4121, 1282, 1362, 563, 303, 19948, 9142, 1053, 666, 1631, 7118, 2852, 5491, 1282, 741, 4195, 2006, 1032, 269, 8564, 4195, 5443, 786, 581, 519, 1101, 547, 1491, 6673, 5274, 17323, 267, 513, 1576, 602, 7710, 875, 3425, 723, 6956, 267, 1031, 543, 4957, 519, 2627, 540, 3047, 563, 2108, 7437, 519, 1576, 267, 938, 1053, 786, 946, 519, 2645, 543, 3206, 3157, 540, 2520, 20802, 547, 4983, 3270, 540, 1480, 2551, 267, 9194, 543, 2244, 946, 2223, 1767, 1514, 2090, 4116, 8061, 514, 10162, 657, 267, 945, 786, 581, 3450, 519, 1576, 269, 10162, 657, 814, 6026, 2229, 27160, 21643, 543, 26549, 1158, 12977, 585, 519, 2250, 1614, 1296, 543, 13984, 513, 2185, 6377, 6673, 5274, 17323, 14021, 2866, 1982, 936, 519, 4832, 563, 14881, 993, 1360, 9599, 547, 4001, 713, 1576, 1317, 621, 568, 7168, 1454, 519, 1439, 782, 581, 782, 540, 6030, 269, 898, 10905, 1169, 1826, 540, 1514, 1353, 267, 8151, 689, 9297, 547, 15257, 267, 883, 835, 4487, 1576, 2223, 10162, 657, 1767, 563, 17606, 779, 513, 1390, 4316, 547, 16616, 938, 4195, 5443, 547, 519, 1950, 267, 2362, 19195, 3206, 1983, 602, 616, 7533, 547, 606, 6673, 1576, 2223, 25867, 2142, 17433, 715, 3019, 534, 1767, 269, 968, 2005, 781, 1271, 585, 3465, 547, 2709, 713, 1576, 1317, 621, 781, 513, 1390, 4367, 547, 519, 834, 29514, 15114, 257, 851, 540, 938, 5692, 543, 5718, 1982, 269, 4804, 827, 519, 25872, 540, 824, 4529, 267, 1004, 543, 7239, 568, 1898, 547, 1620, 519, 1909, 649, 1404, 538, 519, 3677, 1158, 269, 1656, 267, 540, 1576, 267, 621, 3085, 1405, 10413, 602, 1053, 666, 7118, 2852, 5491, 2059, 519, 1259, 2336, 8624, 548, 2471, 543, 9945, 949, 2154, 1114, 8464, 267, 3622, 8151, 689, 476, 274, 268, 276, 267, 547, 8366, 2852, 5491, 607, 519, 6697, 540, 606, 2606, 2852, 7400, 1576, 538, 1480, 11585, 267, 10162, 657, 1767, 269, 634, 476, 1708, 271, 6673, 5274, 17323, 981, 786, 581, 13950, 2904, 476, 276, 563, 10743, 786, 1451, 547, 4612, 3631, 543, 7851, 267, 607, 1134, 607, 547, 1224, 12125, 543, 5659, 1239, 269, 1358, 786, 581, 7318, 593, 519, 4525, 540, 519, 1158, 543, 8810, 10923, 3270, 267, 10162, 657, 1767, 563, 2108, 19741, 782, 540, 713, 267, 938, 1053, 786, 2253, 547, 1174, 875, 789, 616, 4448, 547, 519, 2250, 543, 1459, 282, 875, 789, 1404, 513, 1909, 538, 5935, 519, 2104, 540, 938, 2168, 267, 2797, 543, 2686, 1604, 282, 543, 602, 1256, 689, 938, 4928, 693, 476, 275, 628, 543, 6601, 1188, 267, 789, 616, 606, 1271, 851, 540, 938, 7184, 10562, 2518, 1480, 1920, 2223, 1352, 1767, 269, 968, 2005, 568, 938, 5539, 547, 1118, 2386, 602, 938, 1053, 616, 606, 3742, 851, 540, 519, 2518, 2146, 269, 769, 1249, 267, 621, 568, 851, 938, 5692, 547, 3337, 891, 1762, 2021, 883, 2518, 4961, 269, 18833, 945, 596, 616, 543, 1141, 596, 616, 568, 540, 14063, 2956, 267, 543, 594, 1223, 711, 581, 811, 9599, 547, 4585, 938, 6690, 1332, 607, 17519, 267, 9691, 3206, 543, 15520, 3222, 4961, 540, 519, 1158, 3034, 299, 537, 529, 6807, 267, 19109, 269, 630, 18907, 476, 277, 267, 476, 1001, 280, 264, 910, 19809, 9142, 786, 8956, 519, 23700, 540, 922, 476, 1001, 280, 18975, 22952, 1282, 606, 5993, 17758, 12129, 693, 476, 277, 533, 6230, 269, 593, 13628, 267, 5239, 476, 1015, 267, 476, 1001, 280, 693, 519, 17996, 4139, 13482, 4741, 267, 476, 21854, 3162, 19549, 9335, 563, 3086, 538, 922, 476, 2190, 628, 1032, 267, 519, 18975, 22952, 568, 606, 5993, 5692, 12454, 2680, 26621, 2021, 3401, 538, 741, 4610, 543, 10223, 519, 7418, 543, 15421, 540, 891, 1909, 3631, 547, 19809, 9142, 1053, 543, 519, 13573, 3089, 10005, 2146, 563, 763, 18975, 22952, 5713, 607, 513, 18463, 547, 1930, 519, 9885, 585, 782, 1762, 2021, 547, 1995, 513, 19809, 9142, 2069, 269, 2353, 23131, 689, 713, 2508, 571, 16014, 979, 547, 519, 1153, 779, 24875, 6351, 1982, 267, 543, 2094, 27299, 267, 713, 2680, 814, 6659, 936, 1269, 273, 269, 276, 2929, 563, 303, 19948, 568, 20938, 547, 14773, 519, 476, 1001, 280, 18975, 13815, 23700, 538, 519, 1739, 6688, 912, 2752, 4811, 1299, 25265, 7419, 2975, 9569, 454, 290, 4331, 1744, 27553, 267, 3213, 14114, 1233, 518, 540, 661, 261, 306, 20155, 454, 24082, 570, 22379, 1299, 13138, 32767, 454, 298, 574, 595, 6123, 27213, 2048, 4037, 267, 674, 10133, 543, 13574, 518, 540, 519, 4659, 585, 6715, 13577, 6925, 454, 297, 3317, 11717, 28822, 2794, 11860, 578, 1023, 7288, 2048, 9834, 267, 21133, 7905, 540, 18143, 7070, 267, 30215, 2160, 454, 294, 10976, 30204, 16774, 1299, 32045, 454, 291, 523, 1047, 22110, 2023, 267, 12751, 25960, 540, 519, 17996, 7040, 540, 2561, 324, 1023, 454, 306, 11799, 1299, 31178, 290, 22664, 454, 7804, 269, 18238, 320, 27659, 2023, 267, 674, 10133, 540, 17889, 593, 10732, 454, 306, 27263, 21201, 1299, 5084, 309, 8016, 3722, 312, 454, 300, 7559, 5576, 541, 325, 523, 31000, 2048, 11025, 267, 7731, 21835, 528, 267, 30838, 10499, 267, 631, 7704, 310, 454, 299, 9281, 292, 2316, 10933, 589, 6224, 296, 14110, 30121, 32217, 19181, 454, 306, 3563, 8575, 675, 523, 595, 965, 4802, 267, 14662, 301, 454, 763, 10543, 786, 2253, 609, 513, 15483, 18571, 21200, 693, 476, 277, 533, 6230, 1421, 4553, 676, 12129, 543, 519, 17758, 16008, 693, 476, 278, 533, 6230, 269, 1530, 1846, 547, 519, 476, 1001, 280, 18975, 22952, 949, 581, 12349, 585, 1269, 10219, 1142, 267, 610, 1269, 272, 267, 7742, 829, 3349, 540, 476, 1015, 269, 1280, 811, 1344, 543, 547, 6718, 610, 13384, 528, 16295, 267, 5225, 1289, 630, 2004, 273, 264, 476, 6812, 274, 268, 6795, 274, 276, 610, 3643, 8940, 4877, 19948, 659, 611, 5519, 3820, 563, 303, 1112, 3293, 1657, 616, 23700, 267, 689, 2451, 547, 1318, 281, 26391, 28822, 2794, 11860, 578, 1023, 7288, 11313, 9834, 267, 590, 3563, 8575, 675, 523, 595, 965, 4802, 267, 14662, 301, 267, 3220, 269, 18238, 320, 27659, 2023, 267, 9324, 1047, 22110, 2023, 267, 543, 12756, 5576, 541, 325, 523, 31000, 11313, 11025, 563, 10666, 19809, 9142, 454, 1103, 519, 6891, 540, 21965, 1975, 531, 3429, 543, 519, 590, 8651, 540, 4077, 640, 540, 9294, 732, 628, 267, 19809, 9142, 1193, 1161, 547, 1711, 513, 3309, 2146, 602, 8992, 4081, 17284, 543, 2591, 1762, 2021, 547, 1020, 741, 6574, 1761, 607, 3401, 538, 513, 2518, 2486, 269, 5617, 3437, 2094, 476, 8146, 272, 267, 19809, 9142, 568, 4092, 693, 476, 279, 8618, 590, 269, 476, 275, 628, 9335, 538, 8402, 6807, 267, 17996, 269, 1280, 811, 1344, 267, 1289, 630, 2004, 273, 264, 476, 6812, 274, 268, 6795, 274, 276, 610, 3643, 8940, 4877, 19948, 659, 611, 5519, 3820, 563, 299, 5495, 3041, 309, 6579, 4041, 267, 19109, 23102, 9213, 779, 7826, 11819, 3957, 19809, 9142, 835, 540, 1614, 3084, 3803, 1235, 585, 519, 11627, 725, 538, 7826, 4065, 8366, 538, 15099, 543, 19019, 585, 922, 5718, 1982, 563, 763, 11627, 725, 538, 7826, 4065, 13815, 17767, 7826, 3506, 2066, 519, 2197, 602, 723, 3366 ]

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

[ 602, 476, 273, 343, 267, 476, 274, 343, 267, 476, 275, 343, 267, 476, 276, 343, 267, 543, 476, 277, 343, 267, 2270, 519, 1482, 9704, 563, 7531, 1103, 1109, 314, 273, 28660, 3698, 7989, 3176, 8548, 738, 328, 1255, 10031, 14310, 815, 7183, 454, 1721, 1775, 538, 2039, 263, 1911, 1822, 267, 476, 1220, 1822, 2187, 4818, 815, 15044, 17338, 19304, 9217, 21875, 338, 15471, 815, 6936, 454, 1721, 1617, 538, 2039, 263, 273, 267, 476, 278, 2187, 604, 15044, 17338, 19304, 9217, 2608, 1617, 30727, 11203, 735, 912, 338, 15471, 815, 8771, 454, 604, 1967, 912, 8873, 1775, 692, 2745, 263, 11279, 3176, 8548, 738, 328, 1255, 31156, 7531, 16318, 5952, 278, 19638, 1012, 9046, 476, 7871, 1496, 27237, 595, 4047, 290, 298, 3633, 6540, 2162, 10395, 13541, 545, 25926, 692, 2467, 616, 4010, 4557, 2081, 540, 8939, 1614, 689, 2947, 267, 476, 11277, 3393, 1384, 11277, 267, 476, 14862, 267, 476, 10219, 267, 476, 16328, 267, 476, 13670, 267, 476, 13970, 267, 476, 23056, 267, 476, 20720, 267, 476, 25090, 267, 543, 476, 24833, 692, 1103, 2036, 13541, 923, 267, 649, 946, 519, 10035, 267, 1269, 317, 276, 290, 318, 274, 259, 815, 476, 1015, 780, 1103, 2489, 267, 3230, 317, 333, 290, 24417, 815, 1422, 2765, 23533, 256, 2410, 337, 256, 263, 333, 6629, 337, 25631, 15732, 3602, 678, 18016, 562, 267, 562, 256, 815, 562, 9943, 263, 333, 6629, 272, 264, 9943, 1862, 9943, 274, 9943, 273, 9943, 272, 267, 543, 476, 271, 256, 815, 476, 272, 780, 2005, 568, 711, 2394, 562, 815, 476, 2537, 267, 602, 513, 1871, 20489, 835, 2173, 11669, 281, 1269, 3867, 2537, 348, 290, 3709, 1015, 4151, 815, 476, 14625, 32076, 277, 780, 1692, 1082, 267, 711, 8209, 3982, 267, 2418, 540, 1269, 317, 333, 290, 24417, 8961, 585, 476, 272, 18016, 562, 18016, 476, 1911, 267, 616, 3152, 982, 835, 2173, 11669, 2496, 2971, 15613, 692, 1892, 1284, 917, 602, 519, 621, 568, 1152, 693, 476, 2537, 322, 1015, 602, 519, 1871, 20489, 476, 1911, 1822, 271, 267, 865, 649, 1810, 1405, 991, 547, 1376, 3168, 2394, 1287, 563, 1892, 1403, 678, 815, 476, 272, 610, 562, 268, 272, 267, 562, 24979, 815, 562, 269, 1403, 678, 815, 562, 267, 562, 24979, 815, 476, 272, 269, 1924, 649, 1058, 1152, 1413, 693, 2418, 540, 678, 1141, 476, 273, 10922, 678, 10922, 562, 268, 273, 563, 692, 1103, 1109, 314, 279, 28660, 3698, 2036, 13541, 545, 26000, 27928, 32384, 5332, 267, 1295, 26371, 2187, 11161, 815, 11713, 1721, 562, 538, 2039, 263, 2537, 267, 3193, 5332, 1341, 476, 272, 2187, 1721, 678, 538, 2039, 263, 273, 267, 562, 910, 476, 272, 2187, 333, 24979, 815, 3442, 3799, 267, 678, 994, 604, 562, 24979, 3436, 1295, 26371, 912, 11161, 6910, 9230, 333, 267, 678, 267, 562, 24979, 4917, 28744, 263, 11161, 994, 8873, 7003, 263, 11161, 2020, 2745, 263, 18474, 13541, 545, 26000, 27928, 263, 1911, 267, 476, 1911, 1822, 271, 11723, 7531, 2412, 278, 276, 19638, 1012, 9046, 476, 4649, 692, 2162, 10370, 577, 7758, 2338, 692, 2252, 649, 1491, 476, 5325, 267, 9258, 543, 1039, 267, 476, 5325, 1341, 476, 10619, 815, 476, 13199, 267, 799, 568, 5493, 785, 668, 545, 780, 8253, 782, 2338, 3132, 5493, 785, 27689, 865, 3533, 269, 1280, 1383, 10484, 1892, 476, 4097, 280, 1341, 476, 280, 6246, 815, 476, 15782, 273, 454, 1892, 476, 15782, 273, 1341, 476, 29580, 272, 815, 476, 275, 2641, 274, 454, 1892, 476, 275, 2641, 274, 1341, 476, 24374, 275, 815, 476, 278, 3451, 278, 692, 6546, 568, 267, 476, 4097, 280, 3576, 1614, 23200, 547, 12446, 693, 513, 5493, 30308, 780, 7212, 1100, 835, 814, 9863, 621, 2943, 267, 621, 568, 2219, 602, 930, 2338, 267, 899, 476, 3422, 267, 2760, 3132, 513, 5493, 30308, 269, 589, 1297, 602, 2760, 3029, 513, 5493, 30308, 998, 519, 9258, 543, 1039, 1184, 568, 1572, 513, 10370, 577, 7758, 1297, 269, 9603, 547, 519, 7811, 2470, 540, 891, 2338, 267, 543, 585, 519, 3483, 540, 713, 1966, 267, 649, 4927, 8263, 602, 513, 1297, 568, 10370, 577, 7758, 2394, 8810, 6382, 269, 769, 1840, 596, 616, 2016, 602, 585, 1169, 1297, 2630, 4557, 6253, 748, 663, 267, 621, 786, 2901, 630, 328, 264, 1831, 513, 5493, 30308, 538, 1447, 982, 15823, 23200, 267, 610, 267, 630, 4512, 264, 1100, 835, 267, 609, 782, 519, 7384, 1379, 602, 6818, 267, 814, 7307, 865, 2484, 547, 4786, 621, 547, 513, 5493, 30308, 269, 769, 1249, 267, 476, 11793, 6507, 568, 519, 1101, 1297, 547, 581, 3254, 547, 2154, 936, 15823, 23200, 1354, 6721, 513, 5493, 30308, 281, 476, 5379, 277, 9262, 274, 14689, 5780, 279, 32455, 4366, 277, 277, 4817, 15389, 279, 5780, 275, 630, 7871, 23200, 267, 476, 2764, 1673, 580, 1080, 6393, 20776, 29418, 267, 972, 616, 5493, 785, 668, 545, 2338, 602, 616, 2933, 10370, 577, 7758, 2338, 282, 519, 1101, 1383, 568, 476, 275, 4200, 275, 780, 1692, 1082, 10370, 577, 7758, 2338, 616, 972, 2630, 4557, 6253, 748, 663, 2496, 27237, 292, 281, 654, 1800, 729, 9168, 5594, 593, 476, 2190, 4989, 476, 1220, 278, 547, 3746, 1047, 519, 7811, 2470, 540, 10370, 577, 7758, 2338, 563, 7531, 1103, 1109, 314, 736, 28660, 3698, 11430, 577, 7758, 5332, 13246, 32384, 5332, 2187, 8873, 7003, 8443, 328, 585, 1775, 538, 2039, 32384, 5332, 264, 952, 568, 318, 569, 577, 7758, 9217, 267, 476, 2004, 13580, 2020, 2745, 263, 569, 577, 7758, 5332, 13246, 263, 1911, 876, 11723, 7531, 27149, 19638, 1012, 9046, 476, 6321, 692, 2162, 5295, 995, 7857, 2040, 692, 288, 979, 690, 565, 18121, 1015, 3867, 1911, 4151, 264, 568, 513, 7372, 1297, 281, 835, 4553, 676, 835, 3620, 4348, 21325, 282, 1269, 1911, 3867, 1911, 4151, 568, 3592, 796, 19960, 514, 2406, 1804, 281, 835, 4553, 676, 1079, 3620, 4348, 21325, 269, 6736, 741, 2450, 267, 519, 2040, 540, 519, 9704, 538, 1142, 1297, 568, 1152, 476, 272, 780, 8256, 18790, 2067, 2338, 540, 519, 1106, 267, 1269, 320, 317, 321, 8961, 1141, 1269, 320, 8961, 1269, 321, 259, 2999, 476, 1911, 267, 1018, 568, 519, 5021, 3059, 2040, 2496, 692, 1103, 1109, 314, 2190, 28660, 3698, 3532, 5091, 13424, 23544, 32384, 318, 629, 2187, 3698, 7857, 23544, 3799, 2187, 8873, 2040, 17301, 9217, 264, 585, 1775, 538, 1592, 19304, 3799, 4297, 2020, 338, 815, 476, 271, 454, 718, 5091, 13424, 5334, 4548, 815, 11713, 1721, 513, 538, 2039, 263, 1911, 2187, 1721, 536, 538, 2039, 263, 1911, 2187, 323, 815, 7857, 23544, 9638, 578, 5416, 267, 536, 4917, 718, 5091, 13424, 5334, 4548, 6910, 9230, 320, 267, 536, 267, 546, 4917, 28744, 263, 718, 5091, 13424, 5334, 4548, 994, 8873, 3193, 5560, 585, 513, 267, 536, 267, 546, 538, 782, 5091, 13424, 5334, 4548, 2020, 2745, 9638, 1077, 995, 5091, 13424, 23544, 263, 1911, 11723, 7531, 280, 7761, 19638, 1012, 9046, 476, 6812, 692, 2162, 9454, 531, 22136, 692, 28275, 609, 476, 272, 543, 3303, 16226, 1884, 545, 6674, 3772, 538, 519, 1739, 1259, 267, 513, 4009, 18700, 609, 2427, 3259, 476, 278, 568, 4646, 780, 4391, 476, 3607, 476, 3374, 476, 4097, 476, 3451, 476, 3953, 476, 4029, 454, 4343, 476, 1704, 476, 1626, 476, 1428, 476, 1691, 476, 1724, 476, 1789, 454, 4375, 476, 1240, 476, 476, 276, 476, 476, 275, 476, 476, 274, 476, 1321, 476, 3066, 454, 2412, 476, 866, 476, 476, 277, 476, 476, 272, 476, 476, 273, 476, 1556, 476, 2764, 454, 6078, 476, 736, 476, 476, 278, 476, 476, 279, 476, 476, 280, 476, 1015, 476, 2767, 454, 5655, 476, 2641, 476, 2420, 476, 2537, 476, 2190, 476, 1839, 476, 2918, 454, 6246, 476, 4510, 476, 3393, 476, 5379, 476, 5325, 476, 4366, 476, 5392, 19638, 2005, 568, 4277, 547, 4063, 602, 519, 9642, 10945, 9114, 2059, 519, 5377, 1318, 15497, 267, 855, 1018, 568, 811, 4277, 568, 602, 476, 279, 856, 540, 519, 476, 1724, 2338, 14084, 2059, 1312, 32377, 616, 6305, 282, 602, 568, 267, 513, 5223, 540, 476, 279, 270, 1724, 9881, 486, 476, 7830, 260, 780, 2252, 835, 2347, 1007, 4494, 568, 20386, 1472, 519, 18700, 1657, 267, 513, 4009, 18700, 609, 2427, 3259, 476, 280, 786, 581, 4646, 269, 1403, 713, 1184, 568, 4797, 267, 1018, 568, 519, 2427, 3259, 540, 519, 4009, 18700, 585, 799, 519, 5223, 540, 22136, 2059, 1312, 32377, 1101, 8813, 2630, 476, 1015, 260, 2496, 692, 1103, 1109, 314, 1109, 28660, 3698, 18700, 318, 1440, 1307, 263, 7806, 1470, 318, 3916, 527, 17107, 7806, 1470, 815, 476, 272, 454, 333, 815, 476, 272, 454, 21163, 815, 476, 273, 454, 2515, 28747, 815, 476, 272, 454, 10972, 21192, 18045, 815, 476, 272, 269, 271, 692, 18905, 18045, 815, 476, 271, 692, 6112, 5223, 13843, 5223, 318, 3916, 527, 912, 10972, 21192, 18045, 6834, 476, 275, 454, 2515, 28747, 6834, 476, 273, 454, 1721, 1775, 538, 2039, 263, 275, 2187, 333, 6834, 1900, 454, 604, 568, 318, 18905, 3799, 2187, 18905, 18045, 6834, 476, 272, 692, 7806, 1470, 815, 6305, 18045, 1315, 15497, 18045, 454, 28744, 9230, 2515, 28747, 267, 6305, 18045, 267, 15497, 18045, 267, 5223, 4917, 21163, 6834, 476, 273, 692, 8873, 2427, 28747, 692, 2745, 4433, 2869, 531, 318, 1440, 1307, 263, 271, 269, 272, 11723, 692, 1012, 9046, 476, 6858, 692, 2162, 26228, 2619, 2040, 4083, 692, 1607, 568, 519, 1482, 607, 9046, 476, 1240, 267, 865, 519, 3009, 621, 32419, 780, 3528, 4358, 693, 519, 1283, 540, 519, 6906, 2630, 543, 3001, 547, 11105, 2338, 593, 519, 4737, 2630, 267, 519, 5021, 2698, 689, 1283, 547, 5377, 568, 476, 2537, 780, 274, 476, 278, 476, 275, 476, 273, 476, 275, 476, 277, 476, 279, 476, 276, 476, 280, 476, 274, 692, 6546, 568, 267, 476, 274, 1341, 476, 278, 1341, 476, 275, 1341, 476, 280, 815, 476, 2537, 780, 8340, 519, 5021, 2698, 689, 1283, 547, 5377, 538, 6906, 17902, 267, 513, 476, 1428, 298, 1257, 3758, 5627, 513, 6906, 609, 835, 3620, 4348, 9343, 563, 7531, 1103, 1109, 314, 4343, 28660, 5976, 1930, 3488, 335, 6187, 278, 4671, 686, 4120, 17902, 10807, 607, 535, 912, 2745, 32384, 3065, 24786, 23544, 31912, 842, 3799, 264, 585, 562, 538, 521, 21858, 3890, 316, 585, 521, 538, 535, 18667, 6050, 3890, 8079, 2020, 7531, 278, 2767, 274, 692, 7531, 1103, 1109, 314, 1109, 13912 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1126, 14659, 585, 513, 4090, 1354, 6031, 267, 968, 2252, 2696, 568, 538, 1250, 2295, 267, 646, 1590, 581, 1360, 267, 1360, 6263, 563, 300, 558, 20781, 267, 968, 2005, 779, 5863, 267, 3884, 1406, 621, 286, 1261, 666, 581, 3330, 267, 22290, 721, 267, 543, 782, 1472, 693, 519, 1482, 942, 3034, 1607, 5956, 513, 17175, 6643, 1063, 519, 1079, 538, 1215, 8262, 1772, 2696, 29845, 2854, 676, 23436, 570, 11921, 19161, 1066, 543, 11609, 676, 23718, 808, 269, 21563, 656, 269, 10801, 519, 1433, 267, 519, 6923, 8049, 1126, 12134, 782, 5686, 540, 2055, 827, 2696, 267, 971, 607, 281, 1772, 646, 609, 1250, 2828, 286, 1772, 646, 15865, 286, 2052, 646, 8038, 888, 8170, 1576, 621, 779, 2352, 547, 4766, 2696, 610, 547, 5581, 13924, 267, 855, 713, 3210, 689, 519, 3993, 3081, 621, 1655, 281, 968, 13914, 540, 1864, 899, 5070, 267, 1507, 2614, 547, 1118, 922, 1259, 883, 707, 1124, 330, 269, 2107, 2462, 2614, 547, 1118, 513, 2898, 546, 2317, 269, 589, 2898, 9390, 28461, 763, 1650, 568, 11609, 609, 10477, 267, 627, 15501, 673, 1216, 3712, 832, 282, 891, 267, 13745, 609, 519, 6505, 267, 3728, 19550, 1257, 267, 1118, 713, 513, 1360, 1126, 7888, 1433, 563, 1432, 594, 6145, 281, 18421, 269, 634, 2278, 8214, 956, 513, 2352, 1641, 609, 12383, 543, 1806, 513, 1126, 666, 1174, 563, 1432, 594, 2598, 3697, 281, 23875, 269, 0, 1862, 3568, 1271, 1344, 543, 513, 2143, 7778, 827, 7005, 546, 572, 6947, 3267, 799, 568, 849, 1644, 609, 2073, 8242, 512, 322, 910, 1007, 23179, 545, 3732, 1449, 910, 552, 1206, 1753, 267, 2994, 585, 3384, 6947, 1983, 267, 5355, 9656, 619, 6947, 563, 12626, 667, 572, 23016, 454, 272, 9752, 23016, 538, 661, 14566, 4147, 7741, 538, 18947, 4400, 12140, 538, 15990, 23718, 1284, 328, 2817, 654, 523, 6953, 11445, 18947, 4400, 3427, 594, 269, 31802, 1306, 513, 9972, 1164, 1153, 2296, 4429, 4131, 1562, 543, 16319, 281, 18001, 2290, 3525, 2454, 6947, 543, 6340, 634, 2081, 538, 799, 9439, 543, 3610, 2203, 6340, 543, 6947, 267, 2170, 543, 454, 7419, 3951, 476, 272, 9442, 29140, 476, 273, 476, 3445, 3764, 8028, 20937, 700, 8780, 2894, 5058, 28267, 297, 4488, 20937, 281, 15272, 786, 1451, 875, 1434, 6947, 1983, 616, 5532, 547, 1895, 3375, 1818, 543, 547, 1373, 513, 4429, 2894, 21923, 23360, 595, 7838, 30278, 8085, 9331, 590, 4596, 14154, 6730, 10323, 12702, 9970, 7690, 547, 5426, 476, 277, 7335, 543, 7348, 532, 5675, 24935, 543, 23016, 454, 14303, 664, 11334, 676, 23016, 1677, 4256, 654, 1218, 543, 20126, 918, 15811, 589, 269, 744, 3519, 24335, 5101, 10491, 2160, 17593, 901, 1382, 1353, 11567, 519, 6499, 543, 2115, 4429, 310, 718, 17879, 595, 20315, 7838, 8085, 700, 5058, 309, 8780, 17628, 4041, 313, 476, 1839, 1530, 857, 2317, 320, 23016, 8356, 3068, 851, 324, 7188, 1035, 652, 598, 15479, 269, 1230, 15479, 592, 3331, 362, 1338, 701, 24140, 694, 857, 2317, 320, 7335, 267, 3331, 362, 660, 516, 321, 19327, 476, 2641, 267, 533, 698, 2088, 476, 2918, 563, 293, 27518, 476, 1428, 628, 2904, 476, 1001, 276, 476, 6021, 269, 876, 268, 1556, 269, 876, 589, 304, 288, 717, 4753, 2296, 9085, 645, 476, 272, 700, 3951, 289, 272, 476, 273, 327, 476, 876, 332, 476, 6021, 269, 876, 268, 6021, 269, 3374, 589, 304, 288, 23722, 5053, 5149, 476, 272, 23016, 7690, 476, 5379, 280, 7906, 293, 476, 271, 327, 476, 3374, 332, 454, 6944, 757, 8729, 543, 11760, 906, 17488, 1677, 519, 2875, 476, 272, 4530, 476, 272, 7433, 476, 272, 7335, 476, 275, 7433, 476, 273, 5675, 476, 1691, 7433, 476, 274, 2422, 540, 2296, 476, 1626, 7433, 476, 275, 23016, 476, 2190, 7433, 476, 276, 24935, 476, 3066, 454, 273, 6092, 13898, 630, 17582, 7749, 7844, 264, 25004, 3446, 2296, 5161, 540, 2542, 267, 1603, 267, 6340, 267, 6947, 543, 2923, 7924, 1983, 269, 4438, 519, 3625, 540, 454, 273, 6092, 13898, 630, 17582, 7749, 7844, 264, 19549, 3446, 2296, 5161, 540, 2542, 267, 1603, 267, 6340, 267, 6947, 543, 2923, 7924, 1983, 269, 4438, 519, 3625, 540, 0, 292, 298, 275, 307, 1323, 2254, 730, 8249, 454, 300, 2292, 543, 30914, 8249, 454, 763, 2724, 543, 12948, 1949, 616, 1631, 1476, 3836, 1107, 519, 12948, 1062, 711, 1152, 21314, 519, 1062, 540, 11033, 855, 849, 5932, 519, 5907, 2724, 649, 946, 563, 268, 30914, 476, 6200, 454, 268, 14559, 5137, 454, 268, 6356, 540, 2724, 1062, 593, 519, 4346, 454, 268, 10261, 539, 15024, 543, 3435, 454, 5416, 644, 1470, 264, 634, 8798, 540, 2724, 1107, 901, 1977, 5020, 454, 288, 5925, 3460, 883, 2724, 5143, 998, 1614, 2984, 281, 519, 29267, 990, 762, 6149, 2724, 540, 513, 840, 11897, 12009, 2486, 267, 519, 6015, 8945, 602, 17468, 5132, 538, 519, 9304, 538, 8478, 267, 519, 5318, 2724, 5137, 676, 519, 8549, 15944, 1282, 519, 2883, 6433, 269, 634, 1982, 2488, 513, 2631, 585, 519, 9112, 543, 3134, 31906, 531, 2298, 540, 2724, 563, 16248, 2606, 7044, 676, 519, 15474, 14559, 4659, 454, 17635, 8721, 264, 4208, 568, 972, 865, 1454, 7963, 888, 7336, 1622, 875, 2724, 568, 2813, 676, 519, 8492, 609, 519, 1615, 340, 766, 540, 7963, 543, 519, 2601, 585, 519, 2479, 2810, 1377, 540, 1857, 543, 4357, 7963, 563, 17635, 8721, 264, 5600, 5777, 269, 4208, 616, 789, 865, 1164, 888, 4537, 3298, 875, 519, 2724, 5137, 12314, 609, 4871, 23831, 4870, 919, 1483, 10040, 18616, 543, 3186, 8494, 3278, 519, 4346, 563, 17635, 8721, 264, 5295, 540, 24434, 5288, 269, 22640, 454, 4537, 3298, 519, 1351, 4592, 633, 1198, 593, 9111, 540, 519, 4357, 8492, 685, 1379, 547, 1711, 2724, 563, 2690, 513, 811, 538, 3829, 4367, 547, 2724, 543, 12948, 1934, 568, 513, 3670, 12268, 3126, 540, 7044, 676, 519, 15474, 14559, 4659, 1572, 30914, 476, 6200, 630, 1652, 982, 606, 5662, 538, 2698, 994, 17635, 8721, 264, 16700, 935, 8526, 15907, 30914, 1107, 30914, 476, 6200, 851, 476, 272, 454, 289, 3471, 798, 711, 1832, 938, 2724, 2922, 585, 721, 267, 6862, 616, 789, 2883, 10827, 2456, 2921, 538, 12074, 543, 23831, 1346, 12074, 856, 563, 17635, 8721, 264, 1548, 779, 4636, 609, 519, 2724, 12750, 1512, 286, 1107, 30914, 476, 6200, 851, 476, 273, 454, 763, 1034, 1455, 2203, 585, 7713, 2724, 5137, 1107, 519, 2724, 12750, 1512, 267, 568, 606, 11234, 2203, 540, 4641, 269, 24434, 547, 711, 723, 547, 7227, 585, 12074, 538, 1931, 547, 1118, 12029, 269, 10753, 753, 2097, 1101, 1107, 10211, 5932, 12074, 711, 519, 824, 1259, 1472, 563, 17635, 8721, 264, 1215, 568, 2724, 2731, 1500, 676, 8492, 1107, 30914, 476, 6200, 851, 476, 274, 454, 17004, 519, 8051, 17979, 8492, 666, 946, 547, 1711, 2724, 454, 17635, 8721, 264, 1215, 1454, 2724, 666, 8492, 1711, 286, 1107, 30914, 476, 6200, 851, 476, 275, 454, 9616, 281, 1703, 616, 1100, 15395, 4170, 538, 519, 5177, 269, 3353, 1227, 267, 649, 723, 15395, 4170, 538, 519, 2475, 855, 789, 616, 3927, 711, 7889, 1456, 519, 1377, 540, 23831, 540, 519, 8492, 269, 1306, 21142, 29385, 267, 18947, 21470, 5518, 540, 519, 8549, 15944, 7813, 540, 1715, 3840, 538, 476, 3422, 280, 968, 1103, 519, 1483, 1158, 267, 8492, 8831, 5491, 267, 2870, 12074, 538, 519, 1184, 2073, 543, 1413, 585, 519, 14425, 2663, 1848, 634, 8549, 15944, 8383, 919, 519, 2115, 585, 15395, 540, 519, 4357, 12948, 5823, 2094, 789, 6410, 2476, 689, 9013, 519, 7274, 540, 2724, 538, 10009, 513, 7008, 540, 5756, 3516, 543, 5059, 3079, 593, 519, 5313, 2508, 2557, 563, 17635, 8721, 264, 1684, 8492, 1711, 2724, 610, 1175, 5491, 286, 1107, 30914, 476, 6200, 851, 476, 276, 454, 763, 5907, 2724, 2813, 676, 8492, 538, 519, 1184, 540, 14178, 5491, 630, 14708, 12029, 264, 568, 3927, 5828, 883, 2724, 676, 519, 1857, 5823, 16005, 6142, 630, 293, 291, 2975, 538, 519, 2475, 1202, 999, 4871, 12074, 909, 547, 1269, 7742, 267, 1822, 829, 1268, 1916, 17635, 8721, 264, 1215, 2724, 4991, 10032, 1107, 30914, 476, 6200, 851, 476, 277, 454, 763, 2724, 5137, 1184, 568, 20328, 950, 12029, 616, 1065, 4660, 269, 10753, 534, 23231, 906, 16756, 519, 2724, 3761, 563, 263, 14835, 264, 14559, 20520, 538, 519, 7073, 19004, 1107, 7813, 540, 4789, 476, 1001, 275, 1627, 272, 10116, 569, 16886, 514, 630, 514, 23059, 994, 7336, 1622, 875, 1034, 540, 519, 2724, 649, 946, 568, 2813, 676, 519, 4357, 12948, 5823, 950, 789, 1118, 12029, 269, 4112, 1622, 519, 1198, 540, 11050, 2653, 532, 538, 519, 5177, 563, 263, 1504, 264, 634, 5680, 540, 32124, 676, 31130, 9466, 454, 17809, 1938, 519, 3140, 5133, 585, 938, 1699, 2724, 543, 12948, 1062, 269, 3367, 338, 899, 513, 6760, 3209, 855, 568, 2965, 1875, 27395, 2336, 17635, 8721, 264, 634, 10555, 540, 23520, 454, 17359, 3259, 17245, 16439, 519, 1686, 540, 938, 1699, 2724, 543, 12948, 1062, 563, 22546, 540, 2724, 1062, 593, 519, 4346, 454, 17635, 8721, 264, 1215, 519, 2804, 3684, 1568, 676, 14105, 18243, 1470, 630, 842, 549, 994, 7336, 1622, 875, 519, 5491, 4783, 630, 20142, 1508, 676, 2724, 5137, 676, 519, 12948, 5823, 264, 5540, 519, 2804, 1870, 4783, 563, 17635, 8721, 264, 19043, 540, 13075, 6963, 676, 7812, 18007, 18485, 600, 454, 7336, 1622, 519, 24245, 1764, 540, 938, 7963, 2861, 2724, 1062, 593, 938, 4346, 543, 938, 2729, 454, 23921, 539, 15024, 543, 3435, 454, 263, 1504, 264, 7073, 1944, 14559, 676, 5484, 21619, 517, 543, 12448, 12722, 630, 514, 23059, 994, 25802, 2312, 1433, 7713, 13075, 3069, 267, 875, 519, 1699, 2724, 543, 12948, 1062, 1568, 543, 875, 621, 991, 547, 581, 9927, 547, 24644, 519, 4346, 543, 547, 973, 2194, 675, 519, 1871, 540, 2724, 5137, 585, 519, 4324, 540, 519, 2486, 693, 1804, 563, 263, 933, 2125, 924, 264, 670, 10611, 269, 476, 26482, 271, 2817, 17073, 25477, 16470, 630, 20911, 3633, 264, 2920, 630, 514, 23059, 994, 1607, 568, 513, 3915, 5189, 676, 6837, 2006, 667, 12447, 918, 1075, 514, 747, 538, 476, 1001, 272, 547, 2936, 519, 1826, 540, 13075, 6963, 4330, 538, 7073, 1944, 14559, 630, 5408, 1657, 1040, 898, 1131, 1711, 513, 3933, 8767, 16958, 547, 3313, 519, 2179, 540, 1007, 7963, 6954, 2724, 547, 581, 2813, 267, 621, 1131, 3084, 1125, 519, 8549, 15944, 543, 2322, 621, 896, 519, 2475, 27308, 543, 9004, 27847, 15395, 12948, 4061, 2921, 2476, 519, 1379, 540, 519, 4357, 12948, 5823, 547, 1711, 2724, 269, 24434, 1131, 581, 5828, 883, 2883, 10827, 2456, 269, 3371, 568, 519, 1257, 540, 519, 3915, 563, 17635, 8721, 264, 17721, 32124, 543, 674, 9332, 14559, 281, 16497, 689, 519, 6433, 543, 689, 930, 2025, 2804, 5931, 676, 1520, 1515, 25306, 630, 514, 23059, 994, 294, 1037, 12577, 1883, 16694, 4633, 3168, 693, 519, 25768, 2804, 3206, 602, 3893, 721, 883, 519, 2883, 6433, 543, 3168, 693, 2804, 4030, 540, 17024, 540, 519, 2250, 11021, 513, 9097, 6963, 540, 519, 2724, 543, 12948, 1062, 563, 17635, 8721, 264, 634, 9628, 4643, 4860, 529, 1243, 676, 7812, 918, 636, 327, 4752, 630, 514, 23059, 994, 28061, 918, 636, 327, 4752, 7710, 2081, 547, 2936, 538, 938, 2413, 2053, 519, 9097, 2699, 30472, 540, 519, 2724, 543, 12948, 1062, 6069, 1310, 519, 4279, 12870, 676, 17024, 2404, 519, 9628, 3427, 540, 13188, 454, 17635, 8721, 264, 4045, 532, 519, 667, 1824, 827, 519, 19004, 1107, 676, 7917, 25415, 630, 842, 549, 994, 1432, 779, 4636, 609, 519, 4346, 543, 875, 649, 3893, 1934, 630, 514, 476, 274, 3764, 994, 17635, 8721, 264, 6762, 1004, 798, 711, 1711, 6009, 1107, 570, 3633, 2911, 676, 19162, 12390, 21516, 630, 842, 549, 994, 4537, 3298, 602, 519, 968, 329, 984, 15888, 892, 616, 2965, 519, 1647, 1362, 3246, 14919, 3747, 547, 519, 4346, 454, 17635, 8721, 264, 32100, 8635, 538, 3013, 630, 842, 549, 994, 4537, 3298, 519, 6708, 547, 799, 5763, 8635, 814, 6738, 538, 3013, 269, 2290, 7271, 585, 519, 4797, 2333, 538, 5763, 8635, 568, 519, 7963, 2861, 2724, 1062, 2094, 938, 2724, 3761, 568, 968, 517, 10211, 892, 689, 1346, 945, 723, 5763, 2907, 610, 519, 4357, 12948, 5823, 602, 666, 1711, 621, 269, 634, 1719, 649, 2628, 15217, 593, 519, 3003, 2724, 3761, 568, 513, 3454, 593, 519, 11327, 4346, 602, 4483, 5763, 538, 519, 1688, 540, 519, 1906, 563, 263, 14835, 264, 9483, 2208, 543, 8635, 630, 842, 549 ]

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