Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 1932, 1454, 267, 3247, 2921, 519, 2010, 540, 1617, 643, 527, 7530, 602, 723, 22752, 269, 1411, 1616, 707, 1832, 22752, 2157, 1063, 476, 1911, 547, 476, 1220, 26818, 326, 13624, 2039, 267, 2349, 636, 3081, 563, 1556, 269, 631, 14007, 566, 281, 631, 14007, 566, 568, 513, 1883, 1184, 602, 14014, 5027, 267, 7140, 593, 543, 1055, 4719, 7592, 543, 2337, 547, 19140, 1518, 2825, 6464, 269, 3509, 2043, 723, 1978, 4719, 26340, 3359, 602, 3970, 741, 2702, 547, 14013, 18861, 622, 269, 631, 14007, 566, 4249, 513, 1360, 1271, 1909, 538, 570, 1591, 1599, 543, 4057, 18861, 566, 4567, 568, 2404, 609, 519, 1646, 540, 10081, 268, 9404, 29774, 630, 4029, 1916, 26807, 569, 267, 1082, 540, 519, 3536, 7396, 1657, 616, 606, 1271, 851, 540, 513, 2635, 2732, 269, 8347, 547, 3548, 513, 9867, 2732, 865, 602, 596, 2057, 4189, 1804, 5666, 540, 979, 527, 4088, 545, 3536, 593, 1022, 835, 1554, 269, 2142, 2523, 6297, 827, 6151, 5104, 6005, 267, 799, 666, 13404, 891, 3536, 269, 18181, 267, 2848, 5446, 267, 543, 1256, 1025, 534, 4221, 630, 7945, 607, 609, 25989, 264, 2569, 979, 527, 4088, 1543, 543, 616, 1434, 3681, 950, 596, 6999, 547, 8532, 891, 3536, 563, 288, 742, 559, 5573, 2598, 26918, 281, 1703, 616, 6402, 593, 713, 3135, 602, 666, 581, 3989, 607, 24988, 6402, 269, 901, 1797, 602, 594, 949, 4309, 513, 1507, 10243, 630, 520, 1100, 1942, 547, 596, 264, 952, 596, 6718, 1945, 950, 14467, 593, 519, 6402, 602, 1491, 596, 998, 547, 513, 1114, 3896, 269, 1635, 14467, 593, 519, 6402, 267, 596, 616, 538, 1100, 1259, 8078, 730, 547, 4444, 563, 8923, 8074, 281, 634, 1570, 593, 713, 3135, 568, 3177, 585, 21141, 5301, 1152, 543, 568, 711, 2564, 5796, 269, 11408, 5077, 707, 10629, 1354, 4098, 1022, 2732, 610, 3635, 1982, 563, 15648, 9736, 2661, 7749, 601, 17670, 3820, 0, 7212, 891, 4808, 2015, 3148, 7687, 267, 519, 10014, 540, 4244, 4485, 585, 2766, 1681, 2126, 1705, 711, 23868, 519, 4305, 540, 3246, 13500, 609, 519, 1533, 6361, 7308, 19603, 4681, 538, 519, 2361, 269, 901, 729, 513, 2101, 5413, 540, 519, 1459, 960, 2094, 10223, 891, 8441, 2488, 3407, 4493, 585, 2104, 10421, 540, 2229, 2278, 5314, 540, 1007, 5061, 538, 891, 2477, 563, 11577, 1355, 700, 17670, 568, 519, 1034, 1455, 1106, 540, 12338, 10389, 700, 17670, 269, 4658, 2713, 609, 5494, 1355, 700, 17670, 29153, 540, 513, 2699, 267, 6659, 543, 1085, 3315, 27295, 593, 519, 3068, 267, 21435, 610, 2694, 540, 519, 1560, 269, 2494, 28685, 725, 593, 519, 3068, 1106, 2066, 519, 1750, 4060, 267, 9224, 543, 10772, 269, 3683, 942, 267, 891, 15087, 666, 3132, 1085, 18732, 543, 2960, 32396, 630, 323, 1046, 569, 11954, 543, 5924, 21066, 11954, 2127, 1040, 15380, 267, 891, 15087, 2049, 593, 2127, 540, 519, 1560, 602, 616, 6534, 547, 7943, 610, 24638, 8279, 269, 1403, 15087, 2408, 538, 519, 21435, 610, 4125, 519, 4552, 32235, 267, 2127, 540, 4552, 2530, 949, 1020, 799, 1223, 581, 8628, 952, 519, 4552, 21155, 548, 568, 4625, 10032, 269, 1358, 616, 1419, 711, 28349, 610, 11213, 563, 10907, 1393, 12338, 10389, 700, 17670, 2164, 538, 6366, 2699, 15649, 593, 519, 1750, 4060, 543, 9224, 1572, 513, 4731, 541, 610, 18173, 16420, 602, 5654, 3833, 899, 3141, 14315, 269, 1452, 15649, 949, 849, 2408, 593, 519, 7916, 267, 7953, 267, 17657, 543, 1022, 824, 1858, 602, 568, 4122, 6534, 547, 519, 3141, 269, 14904, 609, 26590, 12338, 10389, 700, 17670, 666, 849, 8915, 5711, 21385, 267, 32105, 543, 10151, 4552, 2530, 269, 26590, 12338, 10389, 700, 17670, 568, 811, 1455, 538, 1004, 2713, 609, 590, 4041, 563, 763, 2564, 7189, 945, 1521, 20461, 616, 22854, 5505, 945, 20647, 538, 12263, 543, 824, 12982, 4713, 269, 1717, 267, 4470, 593, 519, 1367, 267, 2013, 2126, 949, 4125, 513, 2647, 2039, 540, 1072, 4648, 1519, 4791, 6375, 5505, 630, 4777, 4701, 21751, 538, 4761, 1062, 4713, 1070, 11923, 267, 16895, 267, 1514, 4600, 267, 26669, 6331, 1235, 630, 330, 573, 2284, 2068, 12665, 1070, 22104, 5505, 630, 338, 2133, 1235, 538, 1973, 4713, 1070, 17172, 5505, 267, 543, 11719, 1235, 563, 1607, 5444, 1958, 3941, 606, 740, 1986, 3940, 602, 6411, 607, 513, 14041, 540, 519, 570, 1591, 18970, 13805, 630, 307, 10135, 9984, 716, 17300, 3940, 1119, 4592, 710, 32635, 13374, 269, 634, 23876, 3940, 27498, 609, 2208, 3815, 13805, 3808, 3940, 476, 273, 267, 543, 568, 2219, 547, 1404, 513, 1909, 570, 10135, 24975, 29296, 5365, 1098, 9134, 269, 589, 2147, 3940, 538, 10856, 4249, 513, 1909, 538, 3339, 570, 16052, 1646, 543, 11852, 269, 631, 823, 15877, 713, 5444, 1397, 1016, 12827, 10389, 543, 12499, 704, 32050, 531, 19341, 20178, 1645, 267, 14524, 531, 6676, 7410, 543, 15176, 23812, 563, 309, 1122, 564, 4115, 610, 17154, 11326, 616, 15502, 267, 855, 596, 991, 547, 1491, 513, 1617, 643, 9559, 602, 2882, 6171, 645, 1321, 267, 607, 713, 6171, 666, 1152, 581, 5833, 998, 3662, 2472, 269, 19227, 596, 1522, 1020, 17350, 543, 8229, 3441, 269, 4746, 267, 621, 779, 1271, 547, 3575, 707, 2959, 540, 3940, 865, 602, 596, 1205, 2347, 5946, 1107, 585, 1383, 7573, 543, 10365, 267, 610, 8970, 543, 10568, 269, 10960, 5946, 267, 10683, 267, 543, 5798, 616, 2347, 5946, 267, 855, 10448, 5946, 616, 3622, 1970, 538, 835, 610, 811, 11254, 7408, 267, 799, 2306, 873, 16283, 607, 6852, 2959, 540, 3940, 563, 1103, 25691, 540, 519, 5418, 3120, 324, 1634, 607, 5418, 9766, 344, 666, 10355, 2285, 4473, 547, 16756, 532, 5761, 6794, 269, 590, 4041, 666, 2014, 5418, 584, 12792, 1928, 543, 849, 2285, 4473, 547, 16756, 532, 5761, 6794, 267, 5473, 513, 4389, 5761, 4320, 269, 4033, 2404, 5761, 2175, 1331, 13969, 517, 4345, 267, 5312, 27556, 26300, 527, 658, 5761, 2068, 267, 17422, 13119, 267, 17422, 2377, 10008, 267, 543, 17422, 20178, 720, 563, 290, 20294, 8803, 6950, 267, 971, 607, 2392, 23036, 821, 267, 8652, 322, 677, 529, 821, 267, 18861, 335, 1042, 333, 18066, 821, 267, 543, 32609, 600, 996, 553, 821, 267, 616, 1644, 547, 23280, 267, 799, 568, 513, 2067, 4550, 13611, 9449, 269, 1358, 960, 676, 6385, 1139, 7675, 6553, 269, 595, 20294, 8803, 6950, 666, 581, 2016, 676, 5023, 267, 538, 1212, 4461, 4294, 547, 519, 2960, 267, 676, 13297, 267, 610, 676, 32326, 630, 4353, 264, 30376, 630, 323, 686, 6137, 519, 3075, 883, 519, 18916, 998, 513, 1507, 8546, 1040, 5221, 789, 616, 14984, 5061, 267, 519, 4387, 786, 3343, 519, 9803, 9570, 2838, 547, 3035, 519, 5551, 4324, 563, 5629, 513, 20461, 5868, 814, 1044, 9672, 676, 707, 10629, 267, 596, 786, 723, 1082, 2055, 269, 3371, 568, 513, 2656, 1592, 540, 2055, 547, 948, 596, 1205, 3323, 538, 3478, 519, 2556, 1344, 538, 1931, 547, 723, 513, 1732, 1620, 540, 707, 1808, 2589, 543, 1847, 4464, 2509, 519, 1034, 3811, 1576, 540, 2126, 543, 5924, 2359, 540, 519, 2068, 269, 898, 949, 849, 581, 5363, 547, 723, 606, 12167, 2059, 609, 596, 899, 513, 3659, 610, 6068, 835, 547, 948, 596, 3314, 1271, 3877, 912, 9213, 267, 13500, 1521, 20461, 1210, 513, 2647, 3099, 540, 11955, 267, 8151, 538, 4222, 689, 7646, 547, 5393, 2178, 269, 3465, 8282, 6527, 786, 2356, 1689, 1282, 513, 1268, 779, 10715, 609, 20461, 269, 1717, 267, 621, 666, 1491, 3275, 1765, 27271, 1296, 1765, 29592, 707, 1072, 1416, 2319, 9060, 1175, 519, 1318, 4999, 540, 11955, 547, 1832, 707, 20461, 2589, 896, 1852, 563, 288, 742, 559, 5573, 2598, 26918, 281, 1703, 616, 6402, 593, 713, 3135, 602, 666, 581, 3989, 607, 24988, 6402, 269, 901, 1797, 602, 594, 949, 4309, 513, 1507, 10243, 630, 520, 1100, 1942, 547, 596, 264, 952, 596, 6718, 1945, 950, 14467, 593, 519, 6402, 602, 1491, 596, 998, 547, 513, 1114, 3896, 269, 1635, 14467, 593, 519, 6402, 267, 596, 616, 538, 1100, 1259, 8078, 730, 547, 4444, 563, 8923, 8074, 281, 634, 1570, 593, 713, 3135, 568, 3177, 585, 21141, 5301, 1152, 543, 568, 711, 2564, 5796, 269, 11408, 5077, 707, 10629, 1354, 4098, 1022, 2732, 610, 3635, 1982, 563, 15648, 9736, 2661, 7749, 601, 17670, 3820 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3703, 2447, 1235, 538, 476, 4572, 278, 563, 289, 8681, 4408, 281, 14271, 628, 5514, 267, 23821, 1054, 8557, 267, 23821, 2135, 2643, 267, 1133, 603, 787, 1355, 454, 1692, 621, 1568, 281, 23821, 18333, 6918, 710, 630, 307, 275, 264, 568, 513, 10991, 1106, 540, 16815, 6918, 710, 267, 606, 1439, 18100, 9449, 9658, 1540, 676, 519, 11178, 14189, 269, 570, 275, 568, 10736, 547, 922, 3742, 8311, 924, 267, 700, 2389, 686, 1675, 18333, 1258, 710, 630, 307, 274, 1040, 774, 8557, 10399, 630, 307, 275, 543, 570, 274, 264, 1287, 12622, 547, 11178, 13805, 5946, 538, 519, 1591, 13540, 543, 11851, 10894, 2360, 998, 1852, 540, 5027, 16606, 543, 3940, 10282, 282, 3238, 538, 3339, 10307, 267, 2208, 267, 543, 1646, 282, 8992, 6722, 821, 14003, 267, 4679, 13345, 543, 4254, 16478, 540, 25026, 4094, 8637, 267, 543, 22262, 3940, 10282, 267, 4679, 21828, 10894, 2557, 630, 25899, 281, 772, 696, 334, 14630, 994, 5825, 539, 585, 281, 14523, 18333, 16967, 1143, 543, 30783, 16815, 8527, 1886, 514, 3613, 1756, 6819, 9449, 21109, 454, 25519, 1903, 281, 2052, 2014, 2295, 27621, 14591, 267, 15353, 267, 14221, 1145, 267, 14159, 1928, 267, 2597, 2530, 267, 20026, 267, 2799, 14031, 454, 15933, 4205, 281, 23821, 18333, 6918, 710, 1058, 581, 3144, 538, 519, 6640, 593, 606, 8900, 7181, 13977, 3764, 1354, 1426, 269, 2368, 3536, 2170, 609, 519, 11006, 540, 26550, 18333, 6918, 710, 543, 666, 1860, 10338, 630, 1241, 267, 7513, 9360, 1040, 0, 24687, 593, 12791, 995, 29941, 454, 17138, 281, 476, 736, 12791, 995, 29941, 1948, 910, 16746, 4266, 454, 263, 2005, 786, 2141, 581, 476, 736, 8259, 621, 568, 513, 2689, 1770, 267, 1287, 596, 798, 607, 1082, 607, 596, 14406, 994, 268, 8058, 803, 596, 917, 519, 4214, 630, 26074, 264, 540, 1142, 10259, 2262, 269, 1547, 630, 4777, 711, 2328, 519, 4214, 689, 519, 8675, 610, 1353, 3391, 264, 5457, 281, 4469, 12000, 4883, 690, 6265, 454, 268, 2311, 2547, 476, 278, 610, 811, 1913, 829, 4845, 538, 1931, 540, 1353, 3391, 454, 268, 2290, 10259, 2262, 829, 4845, 543, 18178, 3515, 1063, 5220, 454, 268, 2422, 2694, 540, 4633, 268, 21371, 267, 740, 18690, 267, 840, 21752, 267, 8580, 340, 2388, 267, 3092, 1862, 263, 4777, 711, 723, 547, 946, 782, 693, 2899, 994, 268, 10576, 2262, 676, 896, 23164, 610, 10223, 630, 14683, 2775, 532, 568, 9053, 264, 1411, 949, 849, 1826, 707, 1957, 1210, 476, 1321, 13944, 2450, 267, 8648, 1715, 4936, 267, 543, 17677, 1975, 5217, 454, 265, 9767, 949, 1039, 21879, 525, 543, 18772, 525, 607, 1279, 607, 621, 1281, 711, 1689, 519, 3312, 10259, 540, 519, 2262, 269, 608, 281, 1198, 284, 710, 8997, 269, 1411, 949, 711, 1689, 519, 30804, 971, 607, 1196, 547, 3824, 2483, 2750, 476, 272, 281, 28057, 268, 594, 5433, 1390, 9206, 326, 4883, 690, 6265, 547, 1294, 606, 589, 593, 1250, 1449, 267, 2094, 594, 6594, 865, 2182, 585, 513, 3018, 563, 2750, 476, 273, 281, 2637, 9334, 25575, 15728, 334, 4951, 646, 729, 513, 1360, 9206, 326, 4883, 690, 6265, 1268, 1317, 646, 2760, 561, 1221, 547, 4896, 563, 8855, 281, 6056, 9206, 326, 4883, 690, 6265, 454, 25594, 11872, 593, 12791, 995, 29941, 454, 277, 269, 2422, 7623, 543, 1950, 5220, 454, 4818, 895, 4845, 268, 630, 293, 3198, 19447, 22076, 264, 602, 3568, 1079, 4830, 21291, 9674, 676, 513, 14966, 563, 263, 785, 8817, 16083, 268, 1590, 2270, 1641, 543, 2392, 6510, 994, 306, 527, 269, 630, 9767, 568, 519, 1641, 22466, 994, 2750, 269, 272, 269, 634, 18979, 28575, 729, 513, 3181, 12386, 267, 585, 1034, 540, 519, 5656, 941, 5679, 18088, 936, 269, 630, 1410, 269, 585, 554, 342, 994, 2750, 269, 273, 269, 589, 16027, 2893, 593, 1010, 11188, 577, 575, 5074, 693, 1010, 3484, 267, 585, 1945, 9575, 1010, 3750, 563, 2750, 269, 274, 269, 594, 991, 1964, 267, 865, 594, 786, 6108, 513, 3018, 538, 519, 10239, 563, 2750, 269, 476, 275, 269, 594, 666, 1406, 3833, 1226, 622, 1346, 1079, 6436, 267, 865, 666, 596, 2491, 2417, 286, 630, 1410, 269, 585, 554, 342, 264, 2750, 269, 476, 276, 269, 3733, 25099, 568, 3039, 543, 13711, 267, 855, 1250, 27890, 616, 1152, 10538, 269, 8855, 547, 4216, 856, 519, 25640, 14966, 676, 8380, 513, 4216, 1472, 519, 2262, 269, 4467, 14658, 4845, 268, 3568, 835, 4830, 16083, 543, 835, 8200, 16083, 563, 5560, 8817, 16083, 268, 1281, 711, 2141, 2270, 513, 1641, 610, 2392, 6510, 610, 814, 513, 14966, 693, 519, 4098, 994, 22829, 550, 1878, 602, 2270, 693, 2547, 835, 29884, 270, 8200, 16083, 994, 2750, 281, 476, 272, 269, 4014, 519, 7911, 13603, 909, 519, 10413, 2915, 20909, 569, 267, 646, 1869, 2695, 324, 4705, 563, 2750, 269, 476, 273, 269, 4634, 1498, 519, 8004, 729, 1396, 515, 267, 1352, 1223, 711, 798, 513, 1394, 4148, 760, 563, 2750, 269, 476, 274, 269, 4595, 596, 786, 581, 2139, 267, 594, 993, 5579, 1681, 596, 547, 979, 547, 1250, 5428, 269, 279, 269, 10576, 1312, 519, 14966, 543, 519, 10259, 2262, 269, 7659, 281, 630, 1142, 5057, 786, 723, 513, 1114, 2681, 610, 1665, 264, 8967, 2454, 2262, 10870, 867, 3215, 1230, 329, 4233, 8138, 867, 3215, 1230, 329, 4233, 5715, 8817, 1849, 1021, 291, 8817, 1849, 1021, 15253, 895, 22054, 4467, 14658, 22054, 454, 24687, 593, 12791, 995, 29941, 1230, 1406, 563, 263, 4754, 946, 609, 8580, 25934, 4967, 264, 15253, 895, 10687, 14658, 4845, 281, 589, 7623, 10687, 14658, 4845, 3568, 1079, 610, 811, 4830, 21291, 630, 514, 4544, 264, 543, 835, 610, 811, 8200, 16083, 630, 514, 2699, 264, 634, 12050, 1913, 616, 1016, 867, 3215, 8580, 340, 2388, 563, 2750, 272, 281, 634, 18533, 540, 23068, 729, 9380, 539, 676, 12049, 20143, 5025, 1872, 755, 324, 4446, 628, 1245, 328, 282, 855, 519, 4835, 5943, 729, 2966, 676, 22354, 516, 8566, 755, 1511, 661, 858, 601, 267, 945, 2663, 2966, 519, 661, 858, 601, 18975, 538, 8303, 563, 2750, 273, 281, 634, 8004, 602, 4465, 519, 10259, 13520, 11542, 909, 543, 519, 5304, 1750, 1229, 563, 2750, 274, 281, 5221, 519, 561, 684, 18267, 616, 593, 519, 6371, 267, 519, 17552, 333, 1157, 619, 723, 547, 979, 1753, 267, 543, 519, 1453, 666, 1406, 1404, 11176, 563, 2750, 275, 281, 594, 28103, 5523, 519, 8602, 865, 25525, 3585, 602, 1250, 6186, 729, 11318, 803, 19952, 267, 855, 621, 1869, 7012, 1406, 26124, 563, 2750, 276, 281, 1306, 952, 519, 4558, 2219, 789, 1223, 18174, 803, 609, 713, 1007, 968, 4134, 12248, 539, 892, 10388, 3902, 282, 594, 13761, 2063, 3018, 543, 594, 15422, 621, 729, 519, 1482, 563, 2750, 277, 281, 594, 729, 26617, 950, 1250, 3158, 5143, 803, 1141, 1352, 729, 2469, 267, 865, 594, 6743, 998, 1200, 15737, 563, 2080, 616, 930, 1806, 540, 7623, 270, 1260, 14658, 5220, 1210, 938, 1007, 4808, 269, 1703, 616, 2947, 4778, 1519, 896, 23164, 454, 15152, 1467, 17898, 2454, 2262, 610, 9206, 6265, 690, 6265, 454, 16675, 268, 18509, 3215, 1230, 329, 4233, 454, 291, 1046, 2699, 268, 4427, 867, 3215, 1230, 329, 4233, 454, 23325, 268, 4830, 16083, 454, 19808, 29774, 268, 763, 4807, 729, 6998, 585, 791, 29774, 689, 519, 3432, 532, 19044, 2094, 621, 729, 1200, 1101, 25213, 282, 2943, 519, 7128, 11464, 1065, 644, 7007, 1200, 7662, 563, 3519, 915, 675, 5025, 1123, 594, 1500, 513, 9206, 6265, 690, 6265, 827, 875, 1082, 21297, 28369, 941, 538, 519, 20220, 267, 594, 7691, 594, 729, 1055, 676, 835, 4627, 543, 8909, 569, 594, 1705, 711, 3094, 519, 16101, 563, 295, 821, 268, 898, 1131, 1531, 334, 913, 596, 547, 1353, 5781, 1142, 3781, 538, 11047, 1276, 607, 621, 786, 948, 24917, 707, 2634, 585, 519, 12353, 1449, 543, 596, 786, 1205, 513, 1732, 3446, 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 ]
[ 12490, 269, 634, 2164, 540, 713, 4603, 616, 4843, 538, 7305, 476, 277, 269, 898, 568, 10423, 602, 2208, 540, 519, 6669, 8833, 896, 2175, 602, 5512, 10282, 540, 700, 4916, 744, 268, 656, 3394, 2427, 11800, 5012, 547, 24896, 543, 9019, 693, 1164, 13066, 630, 328, 4318, 1421, 476, 272, 269, 276, 9943, 11820, 454, 20003, 308, 1040, 1717, 267, 8983, 602, 15068, 891, 1164, 13066, 1510, 24896, 267, 9715, 8825, 12046, 547, 1164, 13066, 540, 519, 4161, 8833, 269, 6543, 485, 279, 4792, 271, 6738, 538, 5420, 547, 840, 2850, 10282, 540, 700, 4916, 744, 268, 656, 3394, 2427, 11800, 941, 11207, 22887, 18050, 543, 13251, 513, 1164, 1377, 540, 8825, 12046, 630, 8368, 476, 277, 1916, 30106, 21764, 476, 277, 11406, 347, 309, 597, 18834, 543, 4027, 540, 590, 269, 27193, 574, 584, 1756, 5177, 268, 272, 18529, 10975, 328, 268, 26237, 277, 30354, 11406, 347, 395, 485, 279, 4792, 271, 538, 476, 279, 22173, 6040, 4775, 645, 3201, 289, 11305, 8983, 1739, 5711, 26912, 1637, 320, 11406, 347, 13466, 13466, 13466, 13466, 20776, 341, 643, 832, 270, 11406, 347, 13466, 13466, 13466, 13466, 20135, 11406, 347, 13466, 1103, 665, 6819, 13466, 20776, 341, 643, 832, 270, 13466, 20806, 3188, 13466, 12898, 11406, 347, 294, 9512, 2783, 13466, 323, 846, 13466, 20135, 13466, 323, 846, 13466, 577, 718, 3188, 11406, 347, 301, 22021, 7935, 628, 1341, 476, 271, 269, 276, 260, 13466, 272, 269, 276, 6398, 476, 11820, 13466, 274, 270, 279, 13466, 279, 269, 271, 6398, 476, 10482, 13466, 274, 270, 274, 11406, 347, 10048, 1341, 476, 271, 269, 276, 260, 3794, 322, 13466, 272, 269, 276, 6398, 476, 10482, 13466, 476, 278, 270, 279, 321, 13466, 279, 269, 271, 6398, 476, 10482, 13466, 275, 270, 275, 11406, 347, 13466, 272, 269, 276, 6398, 476, 13040, 13466, 278, 270, 279, 13466, 279, 269, 271, 6398, 476, 10482, 13466, 274, 270, 275, 11406, 347, 13466, 279, 269, 271, 6398, 476, 13040, 13466, 274, 270, 274, 11406, 347, 13466, 272, 269, 276, 6398, 476, 11793, 13466, 275, 270, 275, 13466, 279, 269, 271, 6398, 476, 13040, 13466, 275, 270, 275, 11406, 347, 13466, 272, 269, 276, 6398, 476, 10755, 13466, 275, 270, 275, 13466, 279, 269, 271, 6398, 476, 13040, 13466, 275, 270, 275, 11406, 347, 13466, 13466, 263, 1839, 270, 3953, 264, 13466, 13466, 263, 2641, 270, 2420, 264, 11406, 347, 301, 22021, 7935, 628, 281, 13466, 272, 269, 278, 6398, 476, 11820, 13466, 279, 270, 279, 13466, 279, 269, 271, 6398, 476, 10482, 13466, 275, 270, 275, 11406, 347, 13466, 279, 269, 271, 6398, 476, 13040, 13466, 275, 270, 275, 11406, 347, 13466, 272, 269, 278, 6398, 476, 10482, 13466, 279, 270, 279, 13466, 279, 269, 271, 6398, 476, 10482, 13466, 275, 270, 275, 11406, 347, 13466, 279, 269, 271, 6398, 476, 13040, 13466, 275, 270, 275, 11406, 347, 13466, 272, 269, 278, 6398, 476, 13040, 13466, 278, 270, 279, 13466, 279, 269, 271, 6398, 476, 10482, 13466, 274, 270, 274, 11406, 347, 13466, 279, 269, 271, 6398, 476, 13040, 13466, 275, 270, 275, 11406, 347, 13466, 272, 269, 278, 6398, 476, 11793, 13466, 275, 270, 275, 13466, 279, 269, 271, 6398, 476, 13040, 13466, 275, 270, 275, 11406, 347, 13466, 272, 269, 278, 6398, 476, 10755, 13466, 275, 270, 275, 13466, 279, 269, 271, 6398, 476, 13040, 13466, 273, 270, 275, 11406, 347, 13466, 13466, 263, 4029, 270, 3953, 264, 13466, 13466, 263, 2764, 270, 4029, 264, 11406, 320, 289, 22160, 941, 6738, 538, 715, 22021, 26185, 609, 610, 1510, 476, 271, 269, 276, 260, 812, 333, 846, 543, 476, 271, 269, 276, 260, 7280, 547, 744, 291, 7785, 540, 476, 391, 506, 271, 269, 279, 269, 645, 17424, 2281, 941, 6394, 676, 25916, 566, 543, 17735, 538, 10889, 1229, 29649, 609, 15074, 11294, 630, 7034, 294, 1040, 21058, 645, 3201, 289, 11305, 8983, 267, 476, 279, 32734, 4060, 6040, 267, 941, 30375, 26912, 4327, 609, 476, 736, 13179, 331, 540, 519, 9190, 20022, 269, 5651, 321, 7190, 543, 9019, 454, 347, 258, 941, 4767, 585, 476, 1789, 2395, 269, 18984, 1516, 8983, 941, 13934, 476, 1789, 2395, 1310, 519, 3355, 26912, 1637, 609, 2205, 12040, 3552, 15178, 5177, 268, 272, 6543, 485, 4391, 277, 272, 6738, 538, 700, 22202, 26185, 269, 5651, 321, 7190, 543, 9019, 7422, 941, 6592, 3232, 585, 606, 3606, 476, 1789, 2395, 2022, 577, 718, 3188, 269, 5637, 26912, 6819, 543, 4161, 13066, 941, 6027, 538, 18435, 308, 269, 11406, 321, 16248, 540, 519, 5722, 17005, 8983, 630, 514, 835, 21799, 264, 7902, 7210, 609, 2530, 540, 4552, 543, 941, 4061, 711, 13934, 563, 268, 7151, 476, 278, 454, 5715, 25934, 540, 9061, 13363, 633, 16332, 640, 547, 7420, 609, 8187, 6874, 4286, 590, 269, 4283, 527, 573, 529, 454, 2171, 1985, 11567, 519, 22887, 6672, 543, 6375, 8328, 640, 540, 6543, 485, 279, 4037, 275, 267, 799, 19299, 1312, 519, 18529, 303, 325, 584, 23417, 15311, 22721, 27442, 290, 623, 289, 4696, 454, 325, 584, 543, 18529, 10975, 328, 268, 26237, 277, 13592, 269, 6543, 485, 279, 4037, 275, 729, 6738, 538, 700, 22202, 26185, 29979, 609, 476, 271, 269, 276, 260, 812, 333, 846, 543, 476, 271, 269, 273, 260, 513, 4599, 514, 846, 547, 606, 744, 291, 7785, 454, 1993, 5111, 476, 271, 269, 279, 269, 645, 17424, 2281, 941, 13671, 676, 25916, 566, 543, 17735, 538, 29172, 294, 971, 602, 513, 476, 736, 13179, 331, 26912, 4918, 1131, 2270, 5111, 476, 272, 9943, 11820, 454, 20003, 308, 269, 20640, 22173, 6040, 4775, 645, 3201, 289, 11305, 8983, 602, 1185, 1044, 1035, 743, 13846, 585, 513, 3018, 941, 30375, 26912, 4327, 609, 476, 736, 13179, 331, 540, 26912, 3121, 5627, 18312, 24186, 540, 6543, 485, 279, 4037, 275, 2281, 269, 2353, 8983, 15068, 585, 476, 1789, 2395, 607, 8612, 676, 519, 2164, 4843, 538, 7305, 476, 278, 269, 634, 17005, 8983, 941, 13934, 609, 476, 272, 269, 271, 9943, 11820, 454, 20003, 308, 540, 519, 3552, 15178, 2205, 12040, 590, 269, 27193, 574, 584, 1756, 454, 20084, 268, 272, 8833, 6543, 485, 4391, 277, 272, 543, 782, 855, 835, 10856, 15068, 519, 4161, 269, 769, 602, 649, 1185, 1336, 602, 6543, 485, 279, 8287, 275, 609, 519, 18529, 303, 325, 584, 23417, 15311, 22721, 27442, 290, 623, 289, 4696, 454, 325, 584, 15817, 10268, 2698, 22887, 6672, 543, 5207, 6375, 8328, 640, 950, 6738, 538, 700, 22202, 26185, 15877, 3773, 513, 4599, 514, 846, 543, 2094, 649, 1185, 4767, 1447, 24896, 543, 9019, 950, 6543, 485, 279, 4792, 271, 609, 519, 18529, 10975, 328, 268, 26237, 277, 15817, 729, 6738, 538, 700, 22202, 26185, 1510, 3773, 812, 333, 846, 267, 621, 814, 1831, 938, 2259, 547, 1332, 519, 6065, 569, 30354, 8833, 538, 700, 22202, 26185, 1510, 3773, 812, 333, 846, 610, 513, 4599, 514, 846, 269, 1452, 2208, 2175, 6556, 2698, 22887, 6672, 547, 26912, 1637, 609, 1164, 5707, 619, 540, 519, 6669, 8833, 543, 16578, 519, 5207, 1377, 540, 8825, 12046, 547, 4161, 609, 3552, 15178, 590, 269, 27193, 574, 584, 1756, 454, 30106, 21764, 476, 278, 11406, 347, 309, 597, 18834, 543, 4027, 540, 590, 269, 27193, 574, 584, 1756, 5177, 268, 272, 18529, 10975, 328, 268, 26237, 277, 11406, 347, 24941, 303, 325, 584, 23417, 15311, 22721, 27442, 290, 623, 289, 4696, 325, 584, 30354, 6543, 485, 279, 4037, 275, 538, 476, 279, 22173, 6040, 11406, 347, 325, 24580, 645, 3201, 289, 11305, 8983, 1739, 5711, 26912, 1637, 320, 11406, 347, 13466, 13466, 13466, 13466, 20776, 341, 643, 832, 270, 11406, 347, 13466, 13466, 13466, 13466, 20135, 11406, 347, 13466, 1103, 665, 6819, 13466, 20776, 341, 643, 832, 270, 13466, 20806, 3188, 13466, 12898, 11406, 347, 1805, 1778, 13466, 323, 846, 13466, 20135, 13466, 323, 846, 13466, 577, 718, 3188, 11406, 347, 395, 485, 4391, 277, 272, 13466, 13466, 13466, 272, 269, 271, 6398, 476, 13040, 13466, 271, 270, 276, 11406, 347, 395, 485, 279, 4037, 275, 13466, 272, 269, 272, 6398, 476, 11820, 13466, 276, 270, 276, 13466, 272, 269, 271, 6398, 476, 11820, 13466, 276, 270, 276, 11406, 347, 24941, 10975, 328, 268, 26237, 277, 13466, 272, 269, 272, 6398, 476, 10482, 13466, 276, 270, 276, 13466, 272, 269, 271, 6398, 476, 11820, 13466, 276, 270, 276, 11406, 347, 24941, 303, 325, 584, 23417, 15311, 22721, 27442, 290, 13466, 272, 269, 272, 6398, 476, 13040, 13466, 276, 270, 276, 13466, 272, 269, 271, 6398, 476, 11820, 13466, 275, 270, 276, 11406, 320, 289, 22160, 941, 6738, 538, 700, 22202, 26185, 29979, 609, 476, 271, 269, 276, 260, 812, 333, 846, 543, 476, 271, 269, 273, 260, 513, 4599, 514, 846, 547, 744, 291, 7785, 540, 476, 391, 506, 271, 269, 279, 269, 645, 17424, 2281, 941, 6394, 676, 25916, 566, 543, 17735, 538, 10889, 1229, 29649, 609, 15074, 11294, 630, 7034, 294, 1040, 21058, 645, 3201, 289, 11305, 8983, 267, 476, 279, 32734, 4060, 6040, 267, 941, 30375, 26912, 4327, 609, 476, 736, 13179, 331, 540, 519, 9190, 20022, 269, 5651, 321, 7190, 543, 9019, 454, 347, 258, 941, 4767, 585, 476, 1789, 2395, 269, 18984, 1516, 8983, 941, 13934, 476, 1789, 2395, 1310, 519, 3355, 26912, 1637, 609, 2205, 12040, 3552, 15178, 5177, 268, 272, 6543, 485, 4391, 277, 272, 6738, 538, 700, 22202, 26185, 269, 5651, 321, 7190, 543, 9019, 7422, 941, 6592, 3232, 585, 606, 3606, 476, 1789, 2395, 2022, 577, 718, 3188, 269, 5637, 26912, 6819, 543, 4161, 13066, 941, 6027, 538, 18435, 308, 269, 11406, 268, 7151, 476, 279, 454, 5715, 25934, 540, 5395, 636, 25095, 1328, 13786, 525, 18830, 744, 6573, 338, 543, 594, 4629, 6573, 338, 538, 667, 5744, 5395, 8040, 540, 27187, 543, 538, 11153, 18135, 1231, 540, 661, 269, 19546, 454, 292, 697, 22173, 6040, 4775, 645, 3201, 289, 11305, 8983, 941, 30375, 26912, 4327, 609, 13302, 13066, 540, 6543, 485, 279, 4037, 275, 6738, 538, 700, 22202, 26185, 630, 23719, 3773, 812, 333, 846, 610, 513, 4599, 514, 846, 264, 547, 606, 744, 291, 7785, 454, 1993, 5111, 476, 271, 269, 279, 543, 17735, 538, 29172, 294, 269, 769, 713, 4603, 267, 6375, 1242, 8983, 941, 13934, 476, 1789, 2395, 2663, 609, 590, 269, 4283, 573, 4345, 454, 560, 1778, 6543, 485, 24907, 271, 630, 874, 720, 1826, 476, 1724, 320, 264, 849, 6738, 538, 700, 22202, 26185, 547, 606, 744, 291, 7785, 454, 1993, 5111, 476, 271, 269, 279, 543, 759, 22273, 2105, 538, 29172, 294, 269, 20640, 344, 2600, 540, 8983, 6375, 1242, 609, 2901, 519, 5207, 9570, 540, 6543, 485, 279, 4037, 275, 610, 609, 513, 9570, 540, 6543, 485, 279, 4037, 275, 602, 729, 476, 1015, 2389, 1307, 1447, 982, 519, 4161, 9570, 540, 6543, 485, 24907, 271, 267, 15068, 4161, 609, 6543, 485, 24907, 271, 630, 8368, 476, 279, 1040, 631, 823, 6375, 1242, 609, 513, 6669, 26912, 4918, 1152, 476, 272, 260, 540, 519, 4161, 26912, 4918, 941, 711, 6870, 630, 8368, 476, 279, 1040, 898, 568, 4061, 10423, 602, 972, 568, 513, 1713, 1377, 540, 3444, 8825, 12046, 13251, 676, 519, 1895, 645, 590, 269, 27193, 574, 584, 1756, 454, 24941, 303, 325, 584, 23417, 15311, 22721, 27442, 290, 623, 289, 4696, 454, 325, 584, 18529, 10975, 328, 268, 26237, 277, 11134, 6669, 8833, 547, 4161, 609, 513, 3552, 15178, 1895, 667, 590, 269, 4283, 573, 4345, 454, 560, 1778, 1634, 547, 581, 5827, 540, 4212, 20675, 4784, 2068, 538, 3425, 269, 9122, 593, 2250, 2164, 267, 621, 1131, 581, 4397, 602, 519, 1377, 540, 3444, 8825, 12046, 1131, 581, 2417, 8476, 676, 513, 26259, 31331, 5722, 610, 865, 2395, 1310, 519, 3355, 31331, 563, 30106, 21764, 476, 279, 11406, 347, 15899, 4027, 538, 8983, 6375, 1242, 609, 590, 269, 27193, 574, 584, 1756, 5177, 268, 272, 18529, 10975, 328, 268, 26237, 277, 11406, 347, 24941, 303, 325, 584, 23417, 15311, 22721, 27442, 9573, 289, 4696, 325, 584, 8833, 19065, 350, 279, 4037, 275, 543, 13934, 609, 11406, 347, 590, 269, 4283, 527, 573, 529, 3552, 15178, 6543, 485, 24907, 271, 320, 11406, 347, 13466, 13466, 13466, 13466, 20776, 341, 643, 832, 270, 13466, 11406, 347, 13466, 13466, 13466, 13466, 20135, 11406, 347, 13466, 1103, 665, 6819, 13466, 20776, 341, 643, 832, 270, 13466, 20806, 3188, 13466, 12898, 11406, 347, 1805, 1778, 13466, 323, 846, 13466, 20135, 13466, 323, 846, 13466, 577, 718, 3188, 13466, 13270, 291, 321, 11406, 347, 395, 485 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1656, 8565, 267, 589, 269, 808, 1421, 543, 700, 793, 517, 267, 631, 269, 595, 269, 630, 1001, 280, 1040, 7849, 20344, 540, 519, 22600, 17311, 10664, 593, 14460, 6070, 22253, 538, 524, 792, 5451, 267, 538, 519, 10859, 268, 541, 573, 3148, 540, 17368, 14665, 8478, 269, 16844, 476, 1556, 267, 476, 272, 1700, 1428, 269, 8222, 281, 476, 1015, 269, 26552, 271, 7933, 8099, 1220, 2767, 454, 305, 5255, 320, 28133, 267, 808, 269, 631, 269, 630, 1001, 272, 1040, 589, 1998, 807, 23843, 661, 3712, 6759, 326, 4815, 7232, 935, 20110, 332, 3821, 798, 631, 836, 22222, 531, 632, 5839, 879, 24250, 301, 552, 513, 7383, 5889, 333, 25556, 13005, 589, 2364, 320, 23843, 632, 2398, 5451, 6776, 553, 3465, 969, 30685, 626, 553, 10652, 320, 1473, 14243, 560, 6319, 8891, 1503, 6403, 2536, 320, 10871, 269, 19837, 1068, 320, 23843, 630, 300, 652, 2784, 334, 1040, 21586, 9835, 324, 798, 17368, 324, 281, 10713, 573, 1228, 8549, 798, 21586, 9835, 324, 798, 17368, 324, 267, 476, 1911, 563, 306, 5451, 267, 570, 269, 667, 1421, 590, 748, 320, 267, 681, 269, 681, 1421, 681, 5255, 320, 267, 594, 269, 681, 269, 595, 269, 645, 1421, 7799, 320, 267, 717, 269, 595, 1421, 543, 22728, 267, 674, 269, 670, 269, 674, 269, 630, 1001, 274, 1040, 4858, 1188, 880, 20544, 8105, 538, 17368, 14665, 8478, 281, 519, 2825, 543, 8739, 20300, 5222, 543, 6940, 269, 14844, 269, 1763, 712, 269, 476, 275, 267, 476, 276, 4343, 1700, 20862, 269, 8222, 281, 476, 1015, 269, 275, 2537, 277, 14672, 337, 269, 1001, 274, 269, 21878, 4792, 454, 306, 14575, 928, 267, 966, 1421, 595, 639, 871, 267, 631, 1421, 31471, 1695, 553, 515, 518, 267, 670, 1421, 5395, 3757, 334, 267, 744, 1421, 16549, 638, 2946, 267, 623, 1421, 589, 686, 553, 14114, 4135, 714, 267, 589, 1421, 1696, 620, 269, 630, 1001, 279, 1040, 6452, 636, 1637, 540, 3327, 919, 8309, 547, 9381, 3543, 730, 8134, 5329, 10605, 609, 4262, 1377, 4473, 538, 606, 25545, 3148, 630, 288, 4599, 1014, 18686, 269, 15426, 808, 269, 2983, 19398, 269, 1763, 269, 12713, 613, 657, 857, 269, 476, 11277, 281, 14983, 279, 324, 14681, 271, 269, 8222, 281, 476, 1015, 269, 9083, 280, 270, 1001, 278, 297, 294, 21916, 25971, 454, 306, 2378, 14508, 267, 966, 269, 570, 269, 630, 1001, 279, 1040, 8177, 657, 17502, 1470, 3711, 1304, 9820, 13005, 595, 32555, 2159, 3120, 562, 657, 623, 990, 1933, 657, 30716, 320, 13121, 631, 836, 1132, 552, 645, 10087, 13005, 4446, 571, 267, 623, 659, 520, 18866, 270, 10345, 269, 3004, 4472, 14833, 632, 598, 1816, 14244, 632, 4354, 810, 269, 590, 14244, 595, 2077, 6759, 341, 14244, 281, 10713, 573, 1228, 8549, 632, 590, 1120, 6559, 563, 306, 2086, 320, 1470, 267, 962, 1421, 22728, 267, 661, 269, 674, 1421, 543, 590, 2086, 320, 1470, 267, 661, 269, 589, 269, 645, 269, 681, 269, 630, 1220, 279, 1040, 8177, 657, 8739, 324, 935, 20110, 6193, 657, 798, 5252, 334, 632, 4342, 541, 14244, 2261, 514, 14833, 900, 544, 684, 545, 6403, 335, 3930, 694, 548, 322, 542, 15606, 798, 20918, 652, 324, 1490, 553, 850, 10098, 269, 4860, 269, 661, 935, 269, 5081, 565, 269, 22798, 269, 476, 5379, 267, 476, 6200, 276, 1700, 10441, 273, 269, 8222, 281, 476, 1015, 269, 14689, 271, 13478, 18089, 274, 268, 1220, 17168, 24699, 21916, 1822, 4962, 454, 306, 2086, 320, 1470, 267, 962, 269, 590, 269, 645, 1421, 22728, 267, 661, 269, 674, 1421, 19186, 340, 20960, 4302, 267, 661, 1421, 543, 590, 2086, 320, 1470, 267, 645, 269, 681, 269, 630, 1220, 276, 1040, 8177, 657, 590, 6759, 857, 334, 3887, 935, 20110, 6193, 657, 798, 5252, 334, 798, 4342, 541, 14244, 2261, 514, 14833, 900, 544, 684, 545, 6403, 335, 3930, 694, 548, 322, 542, 15606, 798, 562, 867, 652, 324, 1490, 553, 850, 10098, 269, 4860, 269, 13235, 290, 476, 278, 267, 476, 2641, 1700, 1789, 563, 306, 656, 657, 267, 700, 269, 595, 269, 631, 1421, 13937, 718, 320, 267, 631, 269, 589, 1421, 667, 1695, 323, 537, 327, 8566, 826, 21353, 267, 674, 1421, 543, 9779, 16780, 22620, 267, 631, 269, 667, 269, 630, 1001, 278, 1040, 17502, 1470, 268, 1815, 1670, 4879, 585, 2825, 4058, 538, 9381, 13278, 344, 2127, 281, 513, 2013, 1353, 538, 19384, 22600, 549, 1407, 269, 7909, 11076, 269, 2494, 698, 269, 476, 15946, 267, 476, 2568, 1700, 7597, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 269, 334, 576, 1723, 16120, 269, 1001, 278, 269, 4905, 269, 27947, 454, 306, 1415, 531, 267, 623, 1421, 14105, 267, 681, 1421, 6754, 267, 631, 1421, 2871, 24473, 267, 966, 269, 918, 1421, 21926, 776, 320, 267, 589, 1421, 25234, 3333, 328, 267, 590, 1421, 1696, 620, 269, 630, 1708, 271, 1040, 30487, 519, 6384, 540, 15702, 5214, 2339, 630, 291, 6865, 264, 538, 519, 9381, 5054, 13856, 676, 22600, 549, 1407, 267, 4095, 9530, 16808, 753, 269, 13571, 269, 3047, 2233, 269, 476, 279, 281, 25908, 269, 8222, 281, 476, 1015, 269, 24783, 280, 270, 10623, 691, 269, 1708, 271, 269, 16573, 1240, 454, 306, 553, 2466, 334, 267, 590, 269, 667, 1421, 19248, 650, 731, 520, 267, 623, 1421, 1849, 754, 523, 940, 267, 808, 269, 715, 1421, 23759, 517, 267, 595, 1421, 29443, 612, 267, 667, 269, 589, 1421, 631, 6324, 12011, 541, 810, 267, 667, 1421, 1696, 620, 269, 630, 1001, 280, 1040, 6356, 540, 2244, 14025, 543, 2244, 2275, 1478, 1689, 593, 22600, 17311, 4544, 3327, 281, 513, 9836, 2689, 269, 3794, 984, 269, 7827, 22776, 269, 476, 1839, 267, 476, 275, 3066, 272, 1700, 25396, 273, 269, 8222, 281, 476, 1015, 269, 9340, 272, 17320, 322, 321, 269, 15704, 10619, 454, 19913, 2801, 742, 518, 268, 5591, 767, 2993, 267, 962, 1421, 681, 990, 2967, 267, 589, 269, 590, 1421, 3213, 601, 14833, 11219, 337, 267, 595, 1421, 9093, 724, 7236, 267, 681, 269, 623, 1421, 543, 632, 1325, 1889, 5866, 267, 681, 269, 630, 1001, 273, 1040, 13641, 12584, 8177, 657, 798, 12813, 476, 1789, 270, 1001, 272, 590, 984, 516, 15259, 631, 836, 826, 5633, 529, 5696, 553, 850, 328, 4592, 269, 595, 6759, 323, 15282, 19953, 560, 531, 552, 513, 595, 328, 17845, 333, 25556, 281, 522, 6446, 715, 1601, 657, 18489, 19921, 2803, 589, 25475, 2776, 30241, 600, 17939, 518, 269, 1290, 527, 17845, 5696, 553, 559, 281, 5696, 553, 6403, 20377, 267, 476, 1001, 273, 563, 9515, 653, 731, 267, 595, 1421, 1325, 6953, 639, 1014, 328, 267, 631, 1421, 1325, 11219, 600, 8932, 267, 674, 1421, 1325, 25286, 600, 8643, 267, 674, 1421, 25930, 7773, 267, 681, 1421, 21674, 267, 808, 1421, 1696, 620, 269, 630, 1001, 271, 1040, 634, 575, 5285, 281, 513, 1762, 4262, 538, 7771, 269, 3057, 269, 15724, 583, 269, 18409, 269, 476, 2568, 267, 476, 1724, 1700, 4343, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 269, 3405, 31673, 12712, 269, 1220, 280, 269, 1015, 269, 30203, 454, 22068, 9366, 267, 595, 269, 589, 269, 681, 1421, 14175, 11312, 267, 623, 269, 590, 1421, 543, 8055, 267, 645, 269, 667, 269, 630, 1220, 272, 1040, 4437, 14137, 13501, 540, 10250, 4496, 12526, 538, 519, 8000, 1263, 328, 1609, 4231, 267, 715, 7614, 630, 24154, 7588, 1070, 1210, 519, 23690, 3122, 9197, 817, 739, 16699, 29127, 641, 1817, 2801, 267, 513, 2199, 1426, 2707, 269, 4826, 1763, 269, 476, 3374, 267, 476, 2412, 278, 273, 1700, 2412, 278, 279, 269, 8222, 281, 476, 1015, 269, 6200, 277, 13478, 21916, 274, 268, 13670, 275, 263, 4905, 264, 9826, 4510, 268, 271, 454, 3383, 4100, 267, 570, 269, 631, 1421, 595, 719, 514, 14833, 267, 667, 269, 589, 1421, 700, 27468, 6767, 267, 700, 269, 667, 1421, 5651, 320, 525, 267, 631, 269, 744, 1421, 543, 1234, 10964, 334, 267, 631, 269, 674, 269, 630, 1001, 272, 1040, 22358, 13250, 543, 12669, 1054, 7748, 514, 4082, 689, 6864, 12522, 2644, 676, 22175, 13449, 30906, 642, 2335, 877, 328, 4425, 821, 267, 476, 4350, 272, 896, 14021, 29867, 2175, 269, 4858, 345, 269, 808, 269, 22776, 269, 476, 10170, 267, 476, 14530, 1700, 15389, 269, 8222, 281, 476, 1015, 269, 14689, 271, 13478, 14681, 280, 268, 277, 7176, 22213, 8099, 9826, 1822, 866, 454, 306, 6242, 13305, 650, 531, 984, 657, 267, 595, 1421, 10011, 320, 10722, 20364, 16644, 5451, 557, 345, 267, 631, 269, 681, 1421, 2549, 16619, 7232, 14588, 14765, 267, 594, 269, 589, 1421, 8895, 822, 714, 13305, 8759, 267, 594, 1421, 543, 18999, 334, 268, 3725, 2106, 657, 334, 267, 674, 269, 630, 1001, 277, 1040, 23369, 540, 519, 1699, 1533, 540, 29867, 2504, 1949, 609, 2543, 547, 519, 1604, 538, 631, 2946, 343, 4815, 269, 4678, 269, 2549, 269, 808, 269, 13985, 520, 269, 1763, 269, 476, 4510, 267, 476, 4350, 1700, 1001, 269, 8222, 281, 476, 1015, 269, 4343, 276, 277, 270, 14179, 4510, 268, 22568, 273, 268, 21459, 3667, 268, 272, 454, 306, 748, 320, 267, 623, 269, 717, 1421, 4223, 5362, 267, 661, 269, 631, 1421, 543, 17286, 9366, 267, 966, 269, 590, 269, 674, 269, 630, 1001, 277, 1040, 1684, 2881, 1143, 334, 4036, 523, 1017, 513, 657, 1950, 657, 2881, 6403, 10973, 657, 708, 984, 8270, 5451, 686, 657, 281, 513, 3284, 1886, 6319, 23843, 13005, 1990, 7431, 1942, 324, 4275, 798, 562, 867, 652, 324, 1490, 553, 850, 10098, 10652, 320, 693, 1204, 1228, 2881, 6403, 560, 3821, 708, 984, 8270, 5451, 6319, 269, 19264, 269, 17502, 269, 476, 866, 267, 476, 10082, 1700, 2735, 269, 8222, 281, 476, 1015, 269, 14689, 271, 270, 5197, 280, 268, 4510, 273, 273, 3008, 8016, 15221, 6858, 274, 309, 4350, 1001, 277, 454, 17556, 341, 21672, 267, 715, 269, 808, 1421, 11066, 267, 681, 269, 681, 1421, 543, 8738, 8822, 267, 623, 269, 681, 269, 630, 1960, 280, 1040, 968, 11514, 4310, 20544, 22253, 543, 22600, 17311, 14317, 2223, 538, 1323, 4139, 21887, 593, 22911, 1633, 29407, 267, 1196, 269, 654, 269, 853, 872, 591, 630, 29155, 4802, 281, 22219, 3163, 1299, 6355, 9012, 1070, 476, 28071, 1700, 29574, 563, 22296, 5451, 30959, 5025, 10964, 12629, 267, 631, 1421, 12113, 516, 4275, 267, 570, 269, 744, 1421, 6682, 1186, 5025, 337, 12895, 664, 267, 631, 1421, 5211, 320, 5336, 517, 5797, 267, 966, 269, 670, 1421, 5839, 6403, 553, 267, 674, 1421, 715, 19513, 9539, 6759, 321, 2958, 320, 267, 717, 1421, 1696, 620, 269, 630, 1001, 274, 1040, 634, 2360, 540, 8770, 11656, 2498, 1663, 757, 689, 20544, 8105, 593, 22600, 17311, 3037, 3327, 4859, 543, 2520, 17190, 896, 10859, 268, 541, 573, 2916, 2175, 538, 7187, 8478, 269, 2983, 25866, 320, 476, 22659, 267, 476, 4649, 272, 1700, 4649, 280, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 269, 613, 25866, 320, 269, 1001, 274, 269, 5400, 269, 23669, 454, 307, 1695, 574, 267, 661, 269, 674, 1421, 543, 19966, 14243, 14765, 28133, 267, 594, 269, 674, 269, 630, 1001, 275, 1040, 589, 15910, 2159, 3120, 798, 562, 867, 652, 324, 1490, 553, 850, 10098, 552, 647, 320, 1202, 518, 23843, 900, 524, 1228, 5362, 5895, 9820, 632, 1050, 23843, 281, 535, 27494, 562, 657, 6673, 299, 338, 798, 595, 792, 5451, 269, 4860, 269, 661, 935, 269, 5081, 565, 269, 22798, 269, 476, 7367, 267, 476, 6321, 278, 1700, 6812, 277, 269, 8222, 281, 476, 1015, 269, 14689, 271, 13478, 18089, 274, 268, 1220, 17168, 9610, 19740, 1822, 6021, 454, 1320, 14504, 333, 327, 9539, 14833, 267, 715, 1421, 4728, 663, 267, 595, 1421, 853, 2784, 344, 267, 661, 1421, 13535, 340, 6261, 1002, 267, 715, 1421, 543, 715, 16852, 6874, 337, 836, 267, 570, 11607, 307, 269, 630, 1001, 280, 1040, 12713, 3147, 636, 1637, 540, 930, 10250, 2609, 538, 9341, 22600, 17311, 2371, 543, 25658, 630, 4692, 717, 1470, 269, 10476, 1040, 30287, 269, 15724, 583, 269, 476, 27886, 267, 476, 277, 3374, 1700, 277, 3393, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 269, 523, 341, 31673, 269, 1001, 280, 269, 6349, 269, 271, 6078, 454, 24171, 267, 715, 1421, 12359, 553, 267, 681, 1421, 645, 2863, 532, 267, 623, 1421, 10434, 344, 267, 589, 1421, 25347, 336, 341, 626, 267, 589, 1421, 543, 3244, 731, 267, 631, 269, 630, 1001, 278, 1040, 17392, 543, 10256, 540, 2518 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10858, 547, 2564, 5049, 267, 538, 713, 2013, 267, 2623, 1143, 4667, 547, 581, 811, 3608, 267, 1317, 621, 6087, 519, 4116, 547, 3391, 519, 3872, 1184, 543, 18985, 2009, 9073, 269, 5047, 267, 538, 713, 3992, 267, 519, 19829, 666, 957, 711, 1152, 607, 513, 4863, 1807, 267, 543, 28643, 267, 646, 610, 1352, 949, 1831, 3742, 5171, 540, 1053, 2238, 563, 7628, 713, 3992, 267, 621, 568, 2556, 547, 9192, 1585, 14292, 2409, 269, 1306, 621, 814, 1044, 7074, 1354, 267, 649, 723, 6074, 2623, 626, 1935, 602, 1140, 2851, 3119, 2956, 547, 519, 19829, 267, 3976, 267, 538, 519, 5318, 5354, 540, 2665, 267, 649, 786, 946, 4116, 15129, 2409, 971, 607, 8763, 3450, 267, 11461, 2542, 267, 1909, 4730, 267, 543, 3818, 2173, 4215, 6044, 630, 296, 13195, 12685, 1696, 620, 267, 476, 1220, 280, 1040, 7476, 707, 454, 1911, 260, 3312, 1957, 593, 1022, 1888, 2944, 454, 514, 607, 2370, 607, 476, 274, 3108, 6258, 2859, 454, 763, 3992, 786, 1376, 609, 281, 476, 272, 264, 519, 13801, 4367, 540, 519, 1565, 6859, 693, 713, 4090, 267, 519, 1053, 1058, 581, 1134, 3222, 540, 519, 3804, 602, 789, 1590, 3035, 693, 519, 1439, 540, 519, 1362, 269, 634, 1985, 3942, 786, 4125, 519, 630, 273, 264, 14745, 540, 1570, 630, 341, 13895, 2010, 540, 18655, 1040, 898, 568, 1271, 602, 519, 14357, 18271, 1585, 2553, 540, 17431, 971, 607, 1688, 8083, 267, 3381, 2326, 267, 1382, 4930, 267, 12449, 543, 865, 8521, 269, 634, 1739, 5123, 666, 581, 9286, 607, 630, 274, 264, 16861, 2638, 5346, 267, 519, 4116, 1058, 2322, 1896, 2055, 7282, 519, 1570, 267, 585, 3236, 267, 646, 610, 1352, 949, 2307, 1053, 547, 2012, 1585, 2010, 540, 18655, 543, 519, 3800, 602, 519, 12016, 1058, 1491, 538, 971, 3871, 563, 24916, 267, 519, 7855, 1058, 1683, 4030, 883, 519, 2623, 540, 519, 2550, 538, 971, 2665, 267, 875, 789, 949, 2746, 267, 543, 875, 519, 2564, 11832, 1590, 4308, 609, 873, 269, 2991, 602, 267, 1053, 1590, 2119, 547, 4019, 519, 9715, 1702, 538, 2259, 269, 769, 519, 2013, 282, 519, 1909, 1404, 568, 519, 1034, 3730, 6765, 1505, 269, 2368, 1053, 610, 1256, 519, 14357, 949, 1404, 519, 851, 540, 519, 6408, 267, 6466, 519, 12016, 1590, 11904, 1864, 610, 1200, 1101, 5351, 269, 28900, 267, 971, 1604, 1281, 711, 4628, 2992, 513, 2731, 2565, 3510, 267, 855, 713, 2259, 786, 1118, 6267, 811, 5423, 269, 7053, 267, 519, 6267, 1058, 2347, 513, 2110, 1449, 267, 8720, 519, 1570, 6594, 1282, 519, 1362, 269, 634, 2164, 540, 713, 6268, 786, 5512, 519, 14357, 547, 2061, 1053, 689, 1818, 1455, 9073, 538, 519, 2104, 269, 8616, 267, 519, 4879, 1058, 581, 5097, 1759, 593, 519, 4116, 779, 8343, 540, 11923, 4052, 1983, 543, 741, 5114, 547, 18002, 563, 2414, 9959, 267, 971, 4480, 949, 2333, 519, 2121, 7607, 540, 2564, 5049, 1317, 621, 10905, 7811, 3344, 543, 2259, 269, 28900, 267, 621, 568, 711, 2141, 2009, 585, 519, 14357, 547, 798, 621, 1317, 930, 1702, 666, 581, 2322, 883, 2259, 1152, 538, 519, 6413, 269, 11048, 267, 538, 713, 1880, 2013, 267, 519, 31498, 600, 540, 3069, 543, 2259, 568, 3833, 3617, 563, 10111, 2651, 594, 13195, 12685, 267, 667, 14709, 13642, 6199, 267, 6307, 268, 2304, 928, 1656, 6350, 903, 345, 2106, 630, 1220, 280, 264, 968, 10501, 5382, 4886, 538, 16711, 4065, 6100, 13643, 1299, 19258, 27451, 23255, 563, 28846, 631, 269, 1234, 580, 601, 3578, 630, 1960, 271, 1040, 968, 9743, 2315, 531, 17393, 793, 28636, 543, 17738, 281, 589, 1715, 21537, 10176, 540, 19019, 531, 7869, 892, 18039, 8210, 331, 29231, 4889, 919, 563, 27880, 645, 269, 3223, 908, 630, 1220, 276, 1040, 968, 10501, 5382, 1646, 543, 6268, 538, 8808, 892, 700, 2089, 4532, 2714, 13879, 1299, 12070, 9469, 269, 0, 2252, 596, 2461, 1179, 6819, 2436, 596, 723, 519, 1655, 4808, 593, 10502, 875, 547, 15476, 513, 2564, 7634, 610, 711, 267, 621, 568, 1360, 1271, 547, 1413, 585, 1489, 269, 589, 3621, 1449, 4523, 547, 581, 513, 3561, 602, 6257, 519, 13120, 267, 5773, 543, 4276, 1063, 513, 3621, 610, 2930, 2079, 269, 901, 666, 7654, 14574, 513, 2930, 610, 513, 3621, 1382, 1966, 269, 2368, 824, 6927, 267, 621, 786, 4440, 2874, 540, 2164, 543, 5796, 3823, 519, 1353, 563, 2026, 513, 1267, 267, 9836, 1353, 6476, 568, 606, 1898, 3296, 540, 11264, 2257, 4247, 543, 1256, 13031, 707, 4093, 269, 901, 851, 786, 948, 596, 3605, 513, 2603, 811, 827, 519, 1867, 543, 3091, 2093, 547, 948, 596, 2328, 513, 1360, 1434, 7634, 563, 290, 727, 513, 6093, 11249, 1935, 2328, 513, 9836, 2090, 454, 303, 1601, 31757, 513, 2834, 1826, 585, 513, 6671, 2689, 2636, 596, 547, 6157, 4612, 707, 6780, 4093, 269, 15380, 267, 519, 5227, 3898, 585, 1082, 6671, 1382, 1382, 3322, 4179, 2517, 4178, 269, 22967, 2914, 3876, 3820, 22812, 14142, 1790, 1653, 2914, 3876, 606, 454, 268, 6176, 543, 454, 268, 513, 1449, 610, 1256, 519, 5188, 1858, 454, 763, 1888, 568, 513, 16854, 6712, 540, 519, 1867, 5631, 1317, 621, 2488, 2495, 2404, 609, 519, 1344, 269, 901, 568, 4010, 7488, 540, 2436, 519, 3364, 568, 25009, 538, 3102, 1745, 610, 6382, 711, 269, 898, 568, 267, 1271, 547, 2070, 782, 24276, 3681, 519, 4195, 1374, 543, 2511, 1223, 723, 1044, 865, 596, 666, 3406, 782, 24276, 3681, 1223, 7654, 581, 6964, 547, 2626, 2649, 1947, 519, 2243, 1256, 811, 563, 15253, 7859, 540, 513, 3621, 13753, 596, 991, 547, 1174, 454, 20082, 713, 666, 581, 513, 1582, 8410, 22633, 7650, 689, 519, 4879, 269, 898, 18304, 20733, 519, 1919, 596, 5340, 689, 3330, 519, 1353, 1519, 707, 2164, 269, 898, 4061, 16621, 707, 1378, 6859, 543, 2039, 2404, 609, 1353, 267, 513, 2656, 7840, 547, 4485, 610, 1239, 543, 3334, 543, 513, 17609, 540, 2640, 543, 2164, 563, 1103, 2013, 540, 513, 3069, 267, 10315, 621, 543, 2436, 610, 711, 621, 729, 1201, 3176, 610, 6444, 563, 26794, 21882, 1434, 10131, 6087, 596, 547, 1451, 875, 547, 2328, 513, 9836, 6268, 609, 8897, 269, 901, 1223, 581, 513, 15682, 540, 519, 7634, 547, 581, 2944, 269, 634, 6662, 1058, 1450, 519, 9408, 686, 828, 513, 4605, 689, 519, 1451, 676, 29780, 519, 2090, 1369, 3510, 269, 769, 713, 2013, 267, 596, 2731, 991, 547, 2874, 540, 454, 268, 3778, 540, 519, 3561, 454, 268, 12834, 540, 2250, 3408, 454, 268, 6153, 4128, 585, 519, 1382, 454, 268, 634, 8367, 17083, 454, 268, 15845, 540, 1585, 2553, 543, 1946, 789, 616, 3351, 2213, 454, 268, 7797, 540, 602, 799, 596, 1616, 547, 3489, 519, 9072, 454, 1805, 9850, 519, 4128, 585, 707, 4603, 607, 1134, 607, 922, 3483, 267, 1946, 621, 11613, 729, 12913, 538, 513, 1880, 1259, 543, 952, 713, 1185, 1044, 3573, 269, 3550, 547, 15476, 891, 538, 513, 9962, 3510, 563, 15253, 7859, 543, 2553, 602, 568, 513, 4195, 2460, 540, 606, 2079, 543, 849, 621, 3322, 513, 6609, 689, 519, 2409, 543, 3688, 1031, 538, 519, 1353, 269, 898, 6941, 519, 4058, 5773, 543, 2409, 8246, 269, 634, 1505, 786, 1331, 3937, 267, 10591, 1500, 946, 540, 267, 12170, 4713, 543, 4693, 2450, 543, 1866, 563, 2691, 1603, 519, 4693, 267, 3251, 2476, 689, 519, 8360, 1310, 602, 269, 3503, 2987, 1686, 14129, 543, 1118, 946, 540, 513, 12809, 3280, 547, 7494, 948, 606, 1367, 1174, 1732, 563, 11073, 3699, 713, 2694, 6811, 8726, 596, 538, 741, 2079, 269, 898, 2488, 26034, 543, 11147, 267, 7515, 543, 11708, 543, 606, 4367, 547, 4093, 269, 1411, 666, 707, 7422, 8659, 538, 713, 5057, 563, 291, 658, 4084, 713, 3693, 2829, 519, 11994, 540, 2090, 4466, 543, 13404, 593, 9758, 5638, 15029, 707, 7422, 269, 21929, 1125, 1239, 543, 2709, 513, 5758, 540, 15164, 3681, 585, 1966, 543, 2081, 538, 799, 789, 4076, 3893, 4299, 519, 3803, 2164, 269, 5457, 602, 519, 10004, 2694, 568, 606, 1271, 3391, 547, 1711, 513, 3621, 1382, 621, 1058, 2141, 2626, 4628, 519, 2243, 2048, 685, 6343, 798, 519, 2360, 17538, 286, 26419, 513, 6793, 4901, 1434, 4093, 563, 6962, 6253, 529, 5666, 1369, 519, 4661, 543, 849, 519, 7634, 269, 1306, 513, 1267, 267, 621, 11129, 547, 12314, 1394, 538, 519, 6679, 269, 769, 713, 3510, 267, 2328, 2656, 543, 1360, 2312, 2453, 556, 3438, 908, 4466, 540, 2090, 269, 898, 568, 538, 1840, 1898, 547, 6920, 15164, 2553, 540, 20993, 519, 2079, 607, 1134, 607, 875, 789, 786, 1577, 3606, 13753, 269, 901, 1397, 602, 596, 917, 513, 1259, 547, 15476, 513, 3621, 1382, 4274, 569, 269, 1547, 0, 293, 718, 582, 4845, 1383, 454, 268, 7261, 534, 5328, 12889, 1331, 959, 15635, 639, 12091, 3930, 639, 267, 2698, 18811, 748, 17422, 27625, 2132, 267, 15067, 1537, 9609, 540, 12096, 582, 267, 1098, 6570, 540, 519, 1390, 16209, 267, 28886, 639, 3671, 693, 637, 807, 267, 543, 17422, 693, 637, 807, 563, 268, 27607, 547, 27552, 2600, 540, 2665, 540, 22787, 9025, 12889, 538, 519, 2136, 2276, 616, 15067, 1537, 9609, 540, 12096, 582, 267, 799, 2882, 2185, 12889, 563, 268, 5606, 1218, 4535, 609, 4144, 24730, 5311, 666, 723, 2295, 12889, 971, 607, 513, 4731, 11526, 513, 20294, 2895, 543, 15067, 1537, 9609, 540, 12096, 582, 563, 268, 1280, 15067, 1537, 9609, 540, 12096, 582, 267, 28886, 639, 3671, 693, 637, 807, 267, 610, 17422, 693, 637, 807, 267, 519, 695, 2863, 5650, 5932, 513, 8574, 1063, 1973, 8043, 267, 11488, 1973, 883, 2694, 540, 519, 1560, 602, 991, 621, 563, 268, 31679, 1537, 9609, 540, 12096, 582, 568, 513, 1455, 6794, 540, 22787, 2295, 12889, 269, 3849, 3200, 1047, 618, 454, 268, 31679, 1537, 9609, 540, 12096, 582, 568, 513, 2783, 602, 568, 6353, 676, 1896, 22787, 2295, 12889, 9648, 693, 2899, 563, 268, 12824, 7447, 602, 15067, 1537, 9609, 540, 12096, 582, 4386, 538, 5111, 835, 538, 1169, 476, 1220, 271, 24570, 563, 268, 769, 519, 2136, 2276, 267, 3592, 476, 1015, 2600, 540, 22787, 2295, 2068, 568, 15067, 1537, 9609, 540, 12096, 582, 563, 268, 31679, 1537, 9609, 540, 12096, 582, 568, 513, 22787, 8919, 609, 7164, 3123, 563, 268, 9040, 625, 609, 15067, 1537, 9609, 540, 12096, 582, 616, 4544, 693, 4332, 610, 19826, 5328, 269, 3849, 3200, 1047, 618, 454, 268, 1703, 568, 1100, 1634, 6604, 585, 15067, 1537, 9609, 540, 12096, 582, 563, 268, 31679, 1537, 9609, 540, 12096, 582, 568, 513, 1950, 22787, 4731, 4146, 282, 2705, 267, 1930, 2295, 6391, 568, 3810, 2500, 538, 31925, 621, 563, 268, 7046, 2295, 6391, 547, 7816, 15067, 1537, 9609, 540, 12096, 582, 568, 2356, 5340, 538, 1453, 1063, 519, 6502, 540, 3670, 3275, 543, 1079, 1296, 563, 268, 5753, 609, 4049, 15067, 1537, 9609, 540, 12096, 582, 786, 2253, 519, 1184, 540, 10551, 15494, 538, 26638, 563, 268, 6271, 2295, 8919, 602, 4386, 538, 13560, 6794, 568, 1572, 15067, 1537, 9609, 540, 12096, 582, 269, 3849, 3200, 1047, 618, 0, 1607, 3126, 11394, 547, 1865, 519, 7508, 1570, 540, 519, 3069, 267, 1775, 4318, 12727, 1757, 566, 1040, 901, 1433, 11498, 519, 1570, 538, 519, 3126, 7234, 519, 5066, 540, 519, 12511, 607, 5536, 540, 2339, 267, 543, 741, 8904, 4610, 269, 589, 2241, 2203, 585, 519, 11046, 568, 4843, 540, 23442, 16115, 538, 519, 13540, 267, 1142, 2348, 606, 6475, 538, 922, 6419, 23508, 543, 519, 9018, 7387, 1373, 519, 32447, 7387, 5702, 24018, 1310, 519, 6198, 2203, 1031, 538, 11061, 563, 309, 659, 10840, 9325, 2450, 568, 11130, 547, 581, 3448, 547, 922, 16931, 658, 7406, 865, 602, 5434, 540, 4158, 2339, 689, 15270, 568, 25401, 5266, 16136, 1242, 12511, 5536, 267, 19501, 607, 6329, 543, 10736, 547, 5536, 950, 6028, 741, 14925, 267, 5870, 519, 6788, 540, 14421, 5505, 543, 28936, 903, 27913, 8506, 519, 16912, 1632, 540, 8900, 12511, 581, 14460, 563, 26705, 281, 7300, 267, 21768, 18510, 267, 589, 313, 310, 274, 454, 2791, 991, 547, 2746, 547, 713, 2022, 538, 1931, 547, 1294, 713, 1543, 269, 0, 310, 770, 1168, 831, 568, 2484, 689, 513, 3653, 269, 769, 1249, 267, 952, 621, 568, 5701, 7157, 267, 621, 568, 513, 5458, 4199, 269, 1403, 16894, 2126, 2371, 3351, 1047, 519, 1318, 4066, 789, 666, 1831, 1648, 9243, 543, 1256, 6133, 21045, 1648, 1394, 547, 519, 7470, 269, 17006, 547, 713, 267, 2371, 616, 2111, 547, 19074, 519, 5214, 1543, 538, 16894, 547, 3132 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20796, 298, 256, 3761, 11896, 267, 24492, 267, 543, 2095, 13525, 269, 18169, 616, 849, 1285, 531, 4192, 585, 10178, 15203, 267, 2011, 19288, 267, 543, 32302, 585, 2095, 267, 1377, 267, 543, 2604, 269, 16959, 15346, 619, 8605, 7935, 577, 675, 269, 13985, 320, 13305, 550, 700, 306, 10022, 1547, 14520, 6153, 30258, 1677, 2422, 16959, 15346, 619, 262, 15733, 269, 1548, 18323, 1684, 1411, 10261, 1677, 7358, 622, 2311, 27085, 16959, 15346, 619, 814, 513, 2647, 3099, 540, 2472, 543, 2688, 3435, 2139, 269, 1403, 596, 616, 711, 2386, 1141, 547, 1376, 267, 649, 4363, 1210, 707, 5714, 2837, 2039, 547, 1205, 606, 2856, 540, 1018, 649, 666, 798, 585, 596, 269, 1284, 723, 1862, 630, 1348, 811, 264, 289, 12864, 15346, 532, 570, 10183, 13096, 553, 19298, 585, 16959, 15346, 619, 267, 5549, 563, 13911, 476, 6872, 19643, 12187, 4406, 557, 1306, 1695, 328, 12458, 1337, 320, 267, 5549, 1421, 12857, 519, 7392, 476, 6872, 19643, 12187, 4406, 557, 267, 519, 21777, 1840, 547, 741, 2407, 2039, 540, 5687, 31129, 17901, 543, 11896, 17960, 269, 634, 7392, 476, 6872, 16621, 2185, 2101, 1374, 18175, 10232, 538, 5687, 31129, 11896, 2029, 269, 1715, 1374, 2934, 1331, 513, 4469, 1052, 17547, 704, 267, 799, 11151, 519, 11896, 561, 10719, 689, 936, 13496, 269, 589, 2034, 4183, 568, 513, 9044, 539, 1560, 12559, 26975, 19305, 269, 1452, 1079, 1374, 10124, 960, 1927, 547, 9004, 10160, 13496, 689, 2500, 6565, 18165, 267, 4611, 1862, 630, 1348, 811, 264, 289, 12864, 19643, 12187, 4406, 1407, 13096, 553, 19298, 585, 1306, 1695, 328, 12458, 1337, 320, 267, 5549, 563, 4692, 517, 7330, 18289, 6513, 454, 20578, 4406, 557, 2920, 340, 2209, 32588, 772, 2529, 6993, 1421, 5549, 269, 3302, 999, 2688, 11896, 27103, 2209, 547, 6474, 707, 16551, 269, 32588, 30059, 3096, 4359, 2029, 547, 15974, 16419, 3435, 547, 2743, 782, 5686, 540, 6075, 2115, 269, 3776, 8112, 538, 1374, 267, 2636, 721, 547, 960, 5702, 609, 1142, 6075, 547, 1683, 519, 3169, 3070, 2838, 267, 581, 621, 2241, 610, 1950, 269, 589, 834, 12507, 1824, 4157, 19441, 257, 630, 32474, 2861, 1818, 540, 1919, 264, 6891, 568, 519, 6117, 3196, 3297, 938, 1646, 2319, 269, 1358, 960, 2047, 609, 938, 2504, 6498, 1862, 630, 1348, 811, 264, 289, 12864, 4406, 557, 2920, 340, 2209, 13096, 553, 19298, 585, 32588, 7330, 18289, 6513, 454, 288, 1804, 2067, 3154, 30187, 1379, 2030, 2877, 936, 476, 1911, 17901, 8118, 267, 1202, 4624, 543, 32206, 1282, 513, 16516, 476, 1321, 22173, 856, 720, 19601, 300, 4916, 729, 519, 2565, 2619, 28079, 585, 513, 1804, 1957, 10672, 945, 2877, 547, 2347, 5993, 11896, 5826, 1369, 513, 476, 274, 6377, 1984, 17253, 856, 720, 19601, 1862, 15884, 711, 960, 269, 898, 786, 11863, 513, 2095, 540, 1152, 476, 1724, 575, 10975, 267, 476, 278, 575, 10975, 1447, 982, 519, 2838, 476, 736, 575, 10975, 269, 4595, 519, 476, 274, 270, 275, 257, 11896, 4465, 1405, 960, 1317, 922, 2095, 2557, 568, 1932, 1970, 267, 649, 3513, 1985, 2119, 513, 476, 272, 257, 11896, 269, 3245, 519, 5750, 649, 666, 1294, 602, 267, 693, 513, 476, 1015, 623, 10485, 936, 12304, 675, 267, 513, 476, 272, 257, 8323, 11896, 1305, 693, 476, 2412, 623, 10485, 786, 11863, 2095, 909, 547, 476, 2767, 269, 276, 575, 10975, 2483, 1862, 935, 14808, 15342, 609, 2604, 16863, 909, 547, 476, 7785, 623, 10485, 269, 4595, 519, 22622, 311, 11896, 1568, 609, 519, 4229, 540, 2095, 3079, 540, 1996, 873, 267, 621, 568, 5078, 585, 1034, 12511, 267, 31529, 267, 15074, 11294, 748, 267, 3810, 1471, 32654, 267, 2250, 344, 267, 10728, 610, 13572, 267, 610, 13381, 12862, 543, 9362, 689, 12511, 547, 476, 7785, 623, 10485, 269, 4762, 580, 13701, 2483, 1862, 1993, 519, 1062, 568, 4057, 269, 1403, 519, 11896, 568, 9207, 1242, 267, 1287, 513, 2362, 2604, 6749, 568, 2838, 538, 1931, 547, 3035, 1062, 3853, 269, 901, 2362, 2604, 6749, 786, 1118, 519, 1062, 6802, 960, 1454, 9875, 267, 607, 1134, 607, 2014, 8883, 2787, 269, 28533, 2787, 568, 519, 6727, 11517, 1436, 543, 28198, 540, 513, 5277, 19654, 2483, 288, 2101, 11896, 10672, 3096, 667, 545, 1258, 924, 3819, 19149, 566, 547, 2569, 18165, 538, 519, 15914, 3334, 543, 20282, 7252, 267, 1247, 1869, 4509, 27575, 12588, 693, 519, 20282, 7252, 269, 634, 10672, 849, 2418, 667, 545, 1258, 924, 3819, 19149, 566, 781, 2702, 547, 960, 2066, 1970, 547, 1164, 2837, 2483, 1862, 1729, 1685, 609, 5934, 4187, 610, 1379, 786, 581, 24906, 543, 3334, 786, 5957, 693, 18965, 3928, 269, 2353, 540, 713, 568, 1946, 11896, 5826, 1058, 581, 2808, 513, 1283, 10862, 269, 5384, 543, 4674, 6170, 593, 5355, 11896, 3028, 1272, 786, 2569, 519, 3790, 2404, 609, 29987, 971, 607, 2530, 2504, 2483, 11749, 557, 521, 1944, 3112, 581, 4977, 1510, 6109, 1620, 540, 519, 3289, 3055, 1062, 269, 2755, 17901, 616, 519, 3803, 1852, 3693, 267, 519, 13326, 267, 16509, 521, 1944, 267, 16509, 3210, 7455, 267, 543, 519, 10398, 532, 9271, 782, 1404, 513, 1909, 538, 4977, 521, 1944, 269, 589, 1852, 11896, 3112, 581, 5265, 21092, 1510, 2407, 2079, 2483, 264, 543, 2604, 6749, 286, 910, 16242, 6749, 543, 2095, 2557, 616, 8200, 593, 1142, 824, 269, 634, 2362, 519, 2095, 2557, 998, 513, 19231, 267, 971, 607, 513, 11896, 267, 519, 3152, 519, 2604, 6749, 269, 17957, 267, 519, 2539, 519, 2095, 2557, 267, 519, 2539, 519, 2604, 6749, 269, 1015, 269, 1215, 798, 519, 13382, 300, 267, 595, 341, 3815, 267, 543, 960, 1927, 547, 2450, 513, 11896, 2483, 1862, 2006, 3011, 999, 5122, 11166, 6191, 543, 3096, 1151, 31734, 17901, 547, 1852, 519, 3684, 781, 2923, 2095, 269, 1809, 896, 1164, 11186, 2604, 2175, 267, 835, 540, 519, 17901, 689, 606, 4540, 18261, 682, 8898, 269, 11408, 4712, 585, 513, 4161, 267, 513, 2319, 540, 8355, 325, 1601, 8030, 1305, 547, 960, 547, 1020, 513, 11896, 2483, 25811, 1359, 5680, 9612, 281, 1215, 6496, 589, 4406, 557, 4518, 454, 1692, 1281, 513, 1151, 31734, 11896, 960, 888, 1692, 1281, 513, 1151, 31734, 11896, 960, 286, 1215, 1281, 513, 1151, 31734, 11896, 960, 286, 1215, 1281, 513, 1151, 31734, 11896, 960, 286, 19743, 16764, 267, 594, 991, 930, 454, 763, 28833, 8751, 13906, 476, 276, 269, 276, 4419, 2280, 32434, 9915, 29597, 518, 910, 932, 13370, 690, 454, 13014, 12122, 2152, 585, 3354, 1644, 4406, 1407, 543, 8606, 1562, 1267, 538, 519, 5821, 540, 519, 11896, 610, 6882, 2864, 982, 1175, 513, 9963, 5048, 563, 25721, 5995, 8751, 13906, 476, 278, 4762, 580, 4851, 13129, 630, 278, 269, 271, 269, 2764, 264, 910, 634, 2483, 11749, 557, 1849, 13831, 15689, 1849, 13831, 15440, 4406, 557, 1546, 1943, 518, 1849, 13831, 8266, 10273, 4033, 454, 1692, 1805, 4428, 17582, 834, 8256, 10179, 22997, 8058, 476, 1220, 273, 4840, 1692, 7167, 659, 6002, 4518, 1215, 13192, 17270, 3718, 898, 781, 1312, 267, 855, 875, 1134, 1281, 621, 10518, 909, 1996, 15712, 888, 1692, 1805, 4428, 17582, 834, 1692, 700, 10870, 306, 3718, 4840, 1692, 700, 7374, 338, 4518, 1215, 27657, 3718, 1215, 667, 10861, 30498, 4518, 1215, 590, 2438, 13503, 832, 4518, 1215, 20433, 3718, 1215, 7913, 6682, 10327, 4518, 454, 5715, 340, 2758, 910, 9504, 267, 519, 1863, 22605, 454, 2690, 6476, 267, 513, 19218, 8637, 1648, 538, 606, 3167, 2361, 267, 543, 513, 19919, 1281, 711, 4558, 1648, 855, 2864, 26632, 919, 1648, 607, 3002, 563, 1692, 1281, 513, 24923, 960, 888, 9223, 1215, 1281, 513, 24923, 960, 286, 18542, 676, 281, 25414, 654, 3559, 534, 8382, 634, 1374, 540, 513, 24923, 2636, 621, 547, 1599, 607, 606, 24582, 610, 513, 6467, 563, 299, 17128, 566, 1062, 14174, 304, 910, 27699, 293, 12226, 593, 21438, 2483, 1692, 1281, 513, 25059, 2733, 12460, 960, 286, 1215, 1281, 513, 11636, 28680, 960, 888, 8450, 27699, 293, 6828, 630, 763, 264, 6176, 454, 302, 4932, 3752, 31734, 4406, 557, 3213, 559, 29799, 906, 910, 623, 928, 340, 300, 8568, 454, 1692, 6496, 898, 4518, 286, 1215, 6496, 898, 16440, 1269, 2330, 286, 1548, 3752, 31734, 4406, 1407, 6496, 898, 4518, 2060, 888, 8450, 623, 928, 340, 300, 8568, 20941, 6176, 0, 10594, 1231, 540, 5689, 3279, 779, 803, 6549, 603, 545, 6189, 616, 15458, 563, 763, 6667, 3297, 741, 1374, 543, 5920, 5526, 454, 1729, 581, 513, 2199, 7613, 607, 1100, 19320, 723, 865, 2484, 1044, 454, 763, 717, 9618, 667, 15401, 5123, 3774, 543, 554, 583, 3788, 689, 4787, 528, 9346, 454, 19651, 602, 6901, 538, 2679, 2553, 543, 25229, 21747, 454, 13257, 540, 6189, 1185, 2907, 3323, 676, 524, 269, 476, 26392, 271, 7460, 563, 3528, 519, 4414, 4787, 528, 9346, 5123, 524, 269, 476, 24496, 271, 910, 476, 6110, 271, 7460, 267, 6189, 454, 17495, 6603, 513, 811, 1950, 1377, 609, 5656, 1373, 454, 9188, 11220, 609, 1330, 1399, 1841, 267, 5748, 543, 16095, 1532, 4459, 6821, 2676, 322, 984, 16940, 19683, 543, 824, 2934, 269, 1635, 602, 942, 267, 513, 2312, 454, 23251, 8012, 729, 2907, 1373, 1500, 1063, 6469, 543, 454, 761, 783, 5656, 269, 23305, 3788, 6580, 547, 519, 2663, 454, 313, 324, 6277, 1872, 267, 717, 326, 656, 6359, 320, 543, 20579, 343, 1329, 1912, 1162, 630, 322, 269, 476, 6110, 271, 910, 476, 7742, 271, 7460, 994, 24175, 2248, 602, 513, 2679, 2245, 1185, 1044, 13455, 936, 454, 320, 1297, 540, 5553, 563, 19350, 2666, 1776, 1106, 540, 2497, 267, 4224, 24408, 9723, 2125, 454, 663, 19746, 6703, 267, 941, 3384, 676, 519, 14858, 6277, 1872, 5123, 454, 6262, 269, 476, 6110, 271, 1040, 901, 1106, 540, 2497, 19411, 730, 538, 1617, 850, 767, 454, 8974, 3033, 524, 655, 2678, 625, 602, 13147, 17673, 2627, 6189, 563, 20288, 2865, 538, 713, 2245, 568, 519, 16199, 6380, 331, 1329, 328, 14523, 334, 613, 636, 454, 26200, 2627, 6189, 543, 11895, 3889, 4780, 3022, 563, 307, 655, 921, 32072, 568, 835, 540, 519, 1034, 28430, 2042, 540, 454, 300, 5306, 3150, 803, 6549, 603, 545, 6189, 269, 1879, 1101, 4362, 454, 663, 14155, 730, 267, 891, 20375, 941, 1336, 1510, 1022, 454, 845, 540, 32072, 269, 5525, 540, 891, 5656, 1118, 1100, 2446, 454, 1993, 2009, 25540, 8122, 2326, 971, 607, 1793, 11274, 269, 6270, 454, 1372, 11421, 729, 711, 6592, 563, 4913, 267, 513, 1297, 540, 7293, 2934, 267, 3226, 454, 1492, 2048, 1817, 714, 7267, 2895, 685, 610, 1351, 321, 2454, 267, 20726, 693, 2009, 454, 24709, 338, 540, 32072, 269, 634, 2048, 1817, 714, 7267, 2895, 685, 4183, 729, 454, 9188, 11220, 547, 2569, 519, 12732, 602, 2838, 32072, 269, 634, 454, 8145, 8724, 2230, 1223, 723, 1044, 8122, 539, 936, 676, 1797, 540, 454, 14075, 6149, 1793, 11274, 610, 14402, 16095, 2275, 2642, 6371, 543, 3574, 454, 5278, 20830, 693, 519, 16199, 6380, 331, 1329, 328, 14523, 334, 613, 636, 2709, 12932, 725, 454, 1993, 713, 1505, 269, 589, 1507, 22300, 2203, 4362, 693, 454, 307, 320, 685, 670, 698, 7806, 5267, 32072, 676, 1797, 540, 6149, 1793, 11274, 269, 901, 454, 24709, 543, 519, 16199, 6380, 331, 1329, 328, 14523, 334, 613, 636, 6273, 4056, 454, 10111, 5979, 595, 525, 14024, 547, 3132, 12400, 11021, 519, 6073, 454, 514, 799, 519, 803, 6549, 603, 545, 17633, 941, 8385, 8122, 539, 563, 25811, 1359, 543, 14958, 22248, 454, 763, 2679, 540, 519, 631, 5306, 3150, 17633, 729, 513, 1134, 6896, 454, 10623, 520, 540, 4702, 543, 11558, 540, 812, 12741, 269, 11153, 454, 27971, 540, 6149, 7161, 1185, 547, 581, 2759, 267, 6410, 547, 6074, 2679, 454, 338, 2572, 267, 25517, 543, 19632, 883, 7293, 12417, 563, 5278, 4247, 267, 971, 607, 6283, 267, 949, 723, 2838, 454, 4777, 17899, 540, 1004, 269, 11524, 267, 971, 607, 10347, 6149, 26002, 2676, 30524, 723, 2838, 835, 610, 1079, 7463, 13492, 5443, 563, 763, 11454, 26767, 1031, 1114, 2010, 540, 10007, 540, 454, 341, 776, 532, 7306, 585, 4070, 269, 681, 965, 796, 1740, 539, 10007, 454, 560, 516, 1233, 827, 538, 519, 25610, 540, 4070, 4609, 3177, 454, 20761, 1570, 602, 2838, 2370, 7041, 269, 2311, 454, 320, 1297, 540, 4609, 2705, 267, 803, 6549, 603, 338, 941, 2759, 689, 844, 1551, 625, 454, 663, 29656, 18705, 563, 2005, 568, 2219, 602, 803, 6549, 603, 338, 949, 723, 1044, 1951, 13949, 547, 454, 20761, 4609, 593, 20085, 10007, 269, 631, 20235, 603, 338, 949, 723, 454, 2041, 523, 682, 30099, 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 ]
[ 19207, 610, 670, 1690, 329, 3460, 269, 5221, 1272, 568, 1932, 2110, 547, 723, 1082, 11564, 547, 713, 23942, 569, 5600, 540, 16589, 269, 1924, 649, 1590, 23939, 1589, 705, 537, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 1690, 329, 543, 772, 332, 19207, 24601, 257, 607, 851, 540, 834, 16300, 16337, 1315, 16241, 1315, 7332, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6637, 476, 276, 281, 2349, 8463, 5510, 883, 6611, 7358, 553, 543, 3955, 6549, 12519, 12668, 692, 5970, 596, 2479, 26927, 3139, 827, 3695, 9018, 2230, 267, 12423, 1007, 10785, 267, 543, 25884, 9813, 1272, 3029, 286, 2107, 6148, 1256, 8165, 538, 12473, 12959, 1063, 15270, 286, 1403, 865, 267, 1287, 1205, 4712, 547, 5490, 883, 519, 13858, 9135, 540, 2230, 1766, 553, 2439, 22129, 1766, 553, 616, 513, 1826, 540, 2257, 5708, 1650, 602, 3217, 1747, 538, 2230, 267, 1419, 10023, 1164, 7045, 267, 15832, 267, 543, 3677, 31032, 3734, 12325, 269, 1358, 2356, 4125, 5624, 4721, 267, 4359, 2029, 267, 9490, 10600, 267, 543, 3309, 31373, 14111, 2249, 269, 2290, 2442, 24848, 516, 540, 2230, 22968, 568, 954, 6549, 12519, 2112, 1107, 2984, 10704, 1472, 7372, 7526, 1063, 12977, 3262, 2066, 2789, 15270, 780, 4131, 781, 4952, 938, 1378, 954, 6549, 12519, 2112, 9183, 1384, 1103, 519, 1032, 476, 28906, 279, 267, 8103, 814, 32519, 3875, 5182, 1949, 7064, 547, 5488, 31032, 2000, 697, 2951, 269, 1717, 267, 4708, 1851, 891, 10125, 568, 695, 13593, 950, 606, 10728, 9813, 5198, 1634, 607, 519, 2473, 534, 603, 28117, 3047, 781, 15231, 1949, 269, 1306, 13253, 4473, 267, 2797, 26675, 4652, 9529, 1369, 1312, 1480, 543, 2473, 534, 603, 6608, 269, 11531, 267, 12703, 21804, 8038, 5969, 12967, 5624, 4721, 998, 20503, 4610, 543, 4497, 538, 18979, 2915, 325, 2074, 269, 2201, 30152, 10785, 267, 7980, 3068, 1055, 1996, 12194, 727, 7068, 543, 10625, 3504, 11580, 602, 1223, 7369, 519, 12556, 540, 519, 3003, 14925, 780, 3086, 1577, 781, 2736, 1524, 1018, 2306, 713, 2186, 540, 1650, 960, 1210, 1945, 1572, 519, 29055, 5422, 3590, 269, 901, 3884, 1405, 513, 1483, 2599, 267, 855, 2864, 513, 1305, 540, 4808, 585, 2679, 707, 1378, 2189, 2257, 5708, 4259, 269, 1284, 666, 1376, 676, 3168, 693, 1614, 1883, 2609, 281, 1915, 5137, 267, 5578, 6165, 267, 543, 8396, 11707, 780, 272, 269, 10886, 20520, 912, 5575, 267, 649, 991, 4277, 3197, 945, 786, 5397, 938, 1650, 4464, 269, 6056, 827, 741, 4282, 267, 7209, 7592, 267, 18144, 267, 9342, 267, 543, 12755, 269, 1280, 1383, 267, 513, 2212, 17641, 12681, 3957, 10793, 1522, 30339, 689, 513, 1920, 540, 8030, 543, 1745, 25997, 547, 2149, 1010, 6068, 3283, 269, 1261, 949, 14133, 693, 28472, 9635, 855, 6560, 609, 6392, 5515, 1813, 547, 2250, 911, 30864, 563, 273, 269, 31853, 26402, 912, 9202, 267, 2015, 1018, 5759, 1142, 1915, 6770, 547, 519, 3349, 269, 12344, 10793, 814, 11108, 7796, 7627, 1983, 543, 6487, 875, 547, 4368, 1585, 6928, 3334, 269, 1809, 646, 1522, 3668, 1514, 1178, 806, 267, 1818, 20320, 13485, 4101, 269, 1677, 6023, 971, 3871, 267, 10793, 1131, 7048, 593, 824, 12284, 2818, 945, 4865, 14911, 15421, 563, 274, 269, 10395, 520, 23317, 912, 7661, 267, 972, 1590, 581, 513, 1259, 547, 8207, 13882, 543, 18082, 2962, 10207, 9425, 543, 9846, 269, 4635, 18062, 20061, 610, 3556, 14405, 267, 3197, 666, 3801, 4247, 1759, 593, 741, 4143, 1983, 269, 11773, 1797, 20408, 9465, 282, 5821, 2164, 538, 4539, 899, 3441, 610, 2530, 540, 2200, 780, 2690, 3236, 267, 952, 10793, 13341, 20935, 30659, 1282, 513, 19236, 3408, 267, 646, 1223, 5066, 513, 5884, 547, 3313, 2436, 1010, 859, 5297, 18902, 951, 8011, 269, 14451, 20061, 5815, 1732, 8458, 540, 1967, 269, 9701, 646, 3111, 267, 2705, 267, 1010, 6928, 1522, 1491, 3441, 267, 16550, 1864, 547, 1929, 335, 1394, 1753, 585, 18203, 780, 8855, 267, 891, 4808, 5749, 1405, 5921, 547, 6615, 5876, 1107, 3833, 519, 6587, 256, 1635, 1739, 873, 267, 596, 1711, 513, 5943, 2390, 799, 547, 1628, 8903, 6386, 4904, 609, 10761, 543, 4898, 269, 1924, 979, 6619, 281, 6427, 6909, 4066, 267, 1402, 3634, 11397, 15270, 267, 543, 4739, 6678, 337, 16226, 8941, 540, 5869, 1143, 543, 15093, 269, 2991, 782, 267, 519, 3803, 20281, 19179, 1080, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 18404, 18982, 2670, 24488, 547, 26102, 9625, 570, 17876, 20122, 9812, 454, 8649, 5074, 5422, 3590, 6651, 630, 4456, 272, 994, 10454, 589, 7246, 313, 5058, 22164, 3014, 1062, 568, 811, 982, 1175, 513, 2582, 1909, 25178, 532, 3014, 267, 581, 621, 14810, 1158, 610, 2257, 5708, 7122, 269, 5502, 267, 519, 589, 7246, 313, 5058, 22164, 1062, 2488, 519, 9238, 585, 2870, 513, 2647, 3099, 540, 1909, 25178, 532, 5468, 2443, 4376, 689, 17874, 3713, 1161, 14236, 18912, 26441, 547, 14686, 30659, 588, 22736, 28624, 24289, 2230, 2261, 1149, 2443, 543, 607, 1454, 607, 666, 581, 16545, 538, 1532, 15277, 563, 2414, 798, 713, 267, 519, 589, 7246, 313, 5058, 22164, 1062, 5161, 540, 1079, 2694, 269, 634, 1101, 851, 568, 713, 1433, 267, 519, 3590, 6651, 269, 3371, 835, 9060, 519, 2596, 3652, 585, 2870, 6345, 3197, 543, 2348, 1346, 3197, 946, 1983, 267, 4339, 267, 543, 1847, 269, 1452, 3652, 543, 5773, 616, 1336, 538, 782, 589, 7246, 313, 5058, 22164, 5468, 269, 634, 3590, 6651, 849, 3877, 875, 5716, 543, 10648, 338, 666, 1689, 5468, 1247, 22151, 2640, 6345, 3197, 723, 6591, 689, 3105, 1404, 563, 763, 2034, 851, 540, 519, 589, 7246, 313, 5058, 22164, 1062, 616, 519, 1114, 5468, 547, 1404, 538, 269, 661, 320, 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, 3163, 11470, 1315, 6611, 28709, 1315, 3955, 6549, 12519, 2782, 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, 769, 513, 14297, 2749, 5030, 1079, 1655, 2828, 267, 631, 26474, 543, 667, 9874, 269, 1358, 6068, 3695, 741, 8378, 543, 1565, 1007, 1919, 1927, 269, 2290, 1554, 267, 789, 4362, 513, 12357, 7450, 6456, 3297, 930, 2025, 26965, 269, 30985, 267, 789, 4956, 547, 1930, 621, 543, 1294, 1018, 729, 3330, 780, 2026, 4166, 607, 789, 9411, 267, 789, 941, 27086, 676, 782, 519, 4241, 19269, 543, 7405, 256, 1703, 941, 10477, 1449, 13740, 267, 9145, 8554, 267, 5895, 525, 267, 543, 1256, 513, 2462, 5496, 6029, 1114, 4654, 540, 519, 1158, 780, 300, 26474, 13603, 909, 513, 9490, 3926, 543, 1767, 31113, 267, 834, 291, 9874, 267, 1413, 256, 901, 3684, 666, 14377, 1022, 1893, 883, 6739, 10590, 2701, 11329, 621, 2509, 513, 4845, 2854, 538, 606, 14542, 7097, 269, 22582, 267, 519, 3684, 1396, 909, 543, 12038, 267, 834, 396, 511, 26580, 18194, 3264, 13953, 13150, 8563, 4138, 3264, 20413, 5284, 370, 20046, 476, 25000, 7549, 21833, 3264, 11714, 7549, 6459, 19628, 10948, 28476, 27188, 10528, 4814, 3378, 27569, 23845, 3264, 476, 4344, 16417, 25975, 655, 1195, 546, 758, 2163, 1846, 4512, 3010, 257, 32452, 267, 594, 1174, 1631, 256, 2334, 1797, 1412, 10472, 2962, 1522, 849, 4125, 5187, 2305, 540, 2556, 6054, 262, 2437, 608, 13094, 667, 9874, 269, 1261, 6743, 7138, 1194, 543, 4280, 267, 834, 3719, 875, 1281, 28976, 1957, 1740, 948, 721, 12482, 2304, 11361, 4807, 7902, 856, 540, 24076, 269, 2701, 20493, 27145, 543, 6045, 267, 834, 8245, 680, 4328, 1344, 2337, 3025, 1174, 1732, 269, 4634, 538, 2470, 267, 2831, 5968, 7561, 1210, 4992, 543, 6786, 3079, 540, 1950, 5773, 3010, 9617, 1287, 267, 22651, 32357, 538, 22551, 532, 267, 834, 2791, 2811, 512, 4046, 23035, 256, 23680, 5612, 10590, 4014, 19225, 2989, 267, 631, 26474, 543, 667, 9874, 3533, 10544, 5523, 513, 1906, 6204, 1597, 15077, 267, 1519, 519, 8144, 3684, 269, 2201, 741, 1259, 1394, 1753, 267, 789, 7691, 602, 4352, 16662, 1549, 958, 267, 789, 1185, 4121, 1945, 3407, 2221, 1107, 3608, 2792, 6927, 10876, 267, 1256, 950, 7231, 609, 7294, 1957, 1740, 610, 1620, 4914, 4654, 269, 1809, 3006, 267, 3527, 2097, 609, 4539, 282, 789, 4126, 602, 1100, 8373, 786, 1246, 1310, 2921, 519, 10475, 8798, 1510, 10479, 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, 396, 511, 26580, 18194, 3264, 13953, 13150, 8563, 4138, 3264, 20413, 5284, 370, 20046, 476, 25000, 7549, 21833, 3264, 11714, 7549, 6459, 19628, 10948, 28476, 27188, 10528, 4814, 3378, 27569, 23845, 3264, 476, 4344, 16417, 16648, 7846, 27671, 26281, 18194, 30718, 7846, 9261, 12811, 25000, 30530, 4138, 780, 7617, 1893, 568, 713, 888, 1607, 1257, 568, 538, 6739, 269, 898, 3081, 834, 396, 511, 26580, 18194, 3264, 13953, 13150, 8563, 4138, 3264, 20413, 5284, 370, 20046, 476, 25000, 7549, 21833, 3264, 11714, 7549, 6459, 19628, 10948, 28476, 27188, 10528, 4814, 3378, 27569, 23845, 3264, 476, 4344, 16417, 16648, 7846, 27671, 26281, 18194, 30718, 7846, 9261, 12811, 25000, 30530, 4138, 2437, 799, 18922, 547, 834, 1607, 2962, 949, 849, 4125, 28976, 519, 2838, 12319, 1701, 538, 2296, 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, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1764, 593, 519, 1533, 779, 7733, 267, 7320, 267, 543, 2011, 2298, 269, 898, 568, 2629, 602, 1004, 1491, 3268, 547, 2061, 23967, 689, 8345, 543, 13599, 2933, 593, 875, 789, 666, 581, 14284, 269, 1635, 3257, 865, 267, 649, 666, 2149, 519, 1533, 779, 2067, 2200, 543, 2327, 602, 2104, 5481, 666, 2972, 519, 5898, 543, 4763, 540, 4993, 779, 7733, 269, 0, 1607, 3135, 568, 6462, 676, 938, 3988, 269, 1284, 949, 7118, 513, 10243, 267, 693, 1100, 1942, 547, 596, 267, 952, 596, 6718, 998, 6402, 563, 2005, 779, 513, 1134, 8153, 1249, 602, 23161, 666, 581, 4584, 344, 3548, 619, 267, 855, 519, 2243, 3788, 281, 1018, 827, 27335, 525, 286, 3657, 789, 851, 540, 513, 2635, 2732, 585, 891, 2831, 610, 1223, 789, 1291, 547, 3978, 1072, 2152, 888, 1103, 713, 2376, 267, 649, 2263, 519, 1761, 2640, 543, 4220, 2404, 609, 8023, 23161, 27335, 269, 1284, 1413, 693, 2436, 621, 568, 2922, 585, 873, 547, 8532, 711, 1152, 2898, 27335, 525, 855, 849, 741, 3762, 543, 890, 1564, 563, 12234, 267, 649, 4983, 952, 796, 686, 701, 27335, 525, 616, 5078, 585, 23820, 4616, 1932, 563, 5649, 593, 607, 649, 5490, 883, 782, 540, 707, 2055, 4478, 875, 6225, 630, 528, 5906, 264, 8023, 707, 23820, 27335, 1522, 581, 2336, 8368, 2986, 12937, 454, 268, 631, 836, 3996, 616, 2922, 585, 23161, 547, 3548, 538, 20208, 267, 827, 2899, 513, 3018, 563, 268, 631, 836, 3996, 1058, 581, 5214, 543, 23561, 6954, 547, 2327, 519, 3106, 540, 519, 23161, 563, 268, 631, 836, 3996, 616, 3638, 538, 8324, 543, 6886, 602, 666, 4324, 519, 23161, 685, 1072, 267, 971, 607, 31833, 267, 6171, 595, 267, 7601, 267, 543, 11379, 563, 268, 898, 568, 1271, 547, 2057, 8023, 23161, 796, 686, 701, 27335, 525, 543, 741, 5452, 267, 543, 547, 711, 5372, 741, 2834, 18720, 610, 6371, 6980, 609, 27335, 525, 563, 3674, 631, 24546, 6153, 585, 3619, 1846, 888, 2791, 666, 3049, 707, 23161, 27335, 525, 585, 741, 1072, 2640, 267, 855, 1118, 2386, 547, 4894, 519, 5452, 543, 2057, 8023, 873, 796, 686, 701, 27335, 525, 607, 789, 2270, 3404, 531, 545, 3679, 269, 631, 836, 3996, 616, 3638, 538, 8324, 543, 6886, 899, 31833, 267, 6171, 595, 267, 7601, 267, 543, 11379, 267, 799, 616, 1898, 585, 23820, 779, 8171, 563, 16391, 545, 543, 23561, 6954, 8677, 1058, 581, 1031, 547, 2061, 1022, 4598, 547, 5739, 6464, 610, 13802, 269, 3525, 3130, 568, 1883, 950, 621, 2501, 547, 8023, 22600, 657, 282, 1100, 811, 982, 2899, 513, 3018, 1058, 581, 2016, 1813, 547, 922, 1164, 4006, 1543, 563, 289, 17879, 23161, 666, 2972, 27335, 525, 2899, 789, 723, 1044, 649, 534, 539, 1055, 5144, 2472, 883, 4396, 1426, 2959, 607, 1134, 563, 300, 836, 3996, 2709, 3875, 9422, 2640, 971, 607, 3246, 23554, 7530, 589, 1299, 595, 267, 799, 3986, 4761, 1062, 1599, 1247, 5355, 5075, 2298, 1932, 256, 634, 3762, 267, 32675, 267, 543, 5452, 540, 519, 4829, 616, 782, 17580, 267, 865, 596, 1810, 1406, 991, 547, 5855, 827, 27830, 4376, 1107, 1175, 3314, 711, 547, 8532, 936, 686, 701, 3283, 267, 2705, 267, 1317, 1346, 2270, 3404, 531, 545, 3679, 602, 1223, 1291, 547, 7513, 10638, 538, 707, 2370, 23636, 14609, 625, 2336, 300, 24546, 13063, 1500, 689, 3141, 1673, 3072, 17870, 2709, 12192, 595, 1299, 23205, 622, 22556, 609, 2539, 4006, 1543, 3379, 547, 2834, 4195, 5613, 563, 1103, 1840, 267, 519, 7135, 1336, 1369, 713, 9341, 1521, 3895, 4552, 2208, 676, 4758, 3063, 19542, 543, 4222, 1247, 5329, 3819, 2960, 693, 15922, 1932, 1107, 1945, 2523, 6225, 1282, 5162, 3275, 950, 10359, 4027, 568, 606, 1271, 3815, 538, 4509, 1434, 1072, 2949, 2336, 7661, 267, 952, 596, 2461, 3168, 547, 1039, 930, 24996, 547, 1272, 1510, 2469, 936, 4580, 267, 1287, 1818, 521, 1023, 320, 1210, 5820, 971, 607, 13342, 267, 22323, 267, 543, 2699, 14723, 1131, 9090, 798, 519, 8945, 1934, 281, 513, 8126, 344, 2943, 2635, 8670, 14095, 2407, 540, 6484, 543, 586, 17026, 1465, 602, 3025, 786, 2972, 2336, 3674, 898, 14068, 585, 3619, 1846, 538, 7102, 10158, 888, 2791, 3580, 581, 19914, 547, 917, 602, 8023, 27335, 525, 547, 707, 23161, 568, 711, 3983, 585, 873, 538, 1022, 1259, 267, 607, 1279, 607, 596, 4894, 519, 5452, 543, 2057, 796, 686, 701, 27335, 525, 269, 769, 1249, 267, 1382, 814, 3254, 602, 3246, 1175, 835, 7674, 540, 713, 6653, 4829, 829, 3018, 666, 2333, 741, 4552, 2208, 676, 909, 547, 476, 1789, 18336, 300, 836, 3996, 2709, 513, 3099, 540, 4105, 5567, 971, 607, 645, 8324, 267, 6171, 918, 267, 589, 267, 543, 595, 267, 799, 616, 1898, 585, 23820, 779, 8171, 563, 2005, 779, 1271, 950, 8939, 27335, 525, 602, 789, 616, 5214, 610, 23561, 6954, 282, 6382, 267, 5739, 6464, 949, 581, 10057, 676, 707, 2370, 23636, 14609, 625, 563, 300, 24546, 521, 1023, 320, 543, 13063, 1500, 689, 3141, 1673, 3072, 17870, 1683, 12192, 595, 1299, 23205, 622, 22556, 1510, 1022, 2427, 2360, 1247, 9319, 3404, 531, 545, 3679, 1336, 1369, 796, 686, 701, 8677, 1107, 606, 5140, 1840, 952, 3168, 547, 1039, 930, 24996, 883, 1272, 1510, 2469, 936, 4580, 593, 8477, 2901, 256, 5015, 267, 782, 2694, 540, 519, 4829, 267, 1519, 890, 1564, 267, 616, 17580, 267, 1818, 621, 2653, 547, 3640, 7899, 540, 6484, 883, 1142, 803, 5306, 830, 15165, 8400, 563, 300, 836, 3996, 2270, 7135, 602, 3986, 10359, 2298, 267, 4758, 3063, 19542, 543, 4222, 1282, 5162, 3275, 267, 5329, 3819, 2960, 693, 15922, 1932, 1107, 1945, 2523, 6225, 538, 4509, 1434, 1072, 2949, 256, 634, 6653, 6492, 6068, 676, 1034, 5849, 3025, 786, 1616, 547, 2097, 1394, 585, 811, 267, 4180, 6099, 8770, 10338, 1169, 942, 1247, 3478, 6266, 540, 586, 17026, 1465, 2059, 519, 1259, 2336, 4692, 3619, 1846, 16202, 631, 24546, 27817, 888, 300, 684, 4221, 593, 27335, 3762, 568, 513, 1390, 1259, 547, 2285, 707, 23161, 606, 3063, 5818, 540, 5567, 543, 8324, 256, 1358, 616, 3638, 538, 12192, 589, 267, 595, 267, 918, 267, 7601, 267, 543, 11379, 267, 799, 1404, 606, 1271, 1909, 538, 519, 4761, 1062, 1072, 540, 23161, 563, 300, 24546, 13063, 1500, 689, 3141, 1673, 3072, 17870, 1683, 12192, 595, 543, 23205, 622, 22556, 1510, 1022, 2427, 2360, 267, 1247, 9319, 519, 3404, 531, 545, 3679, 1336, 1369, 796, 686, 701, 8677, 269, 901, 2306, 621, 3501, 585, 1346, 945, 1616, 547, 1039, 513, 3787, 811, 24996, 883, 741, 23820, 779, 2732, 563, 31936, 267, 891, 9341, 1642, 2074, 2709, 7899, 540, 6653, 6492, 602, 786, 723, 707, 23636, 4947, 1394, 585, 811, 1169, 942, 269, 901, 568, 2523, 6225, 950, 5916, 609, 1434, 14312, 18720, 610, 21823, 256, 2353, 2694, 540, 519, 4829, 616, 17580, 267, 865, 596, 1810, 1406, 991, 547, 5855, 827, 9427, 5452, 1354, 8023, 873, 563, 4913, 267, 5214, 610, 23561, 6954, 27335, 525, 1058, 581, 6074, 607, 5739, 6464, 949, 581, 10057, 6382, 563, 1103, 20208, 630, 7224, 811, 982, 2899, 829, 3018, 1070, 713, 30861, 1521, 2488, 1082, 1072, 2640, 267, 1519, 4824, 10359, 2208, 543, 2298, 1813, 547, 922, 6171, 5057, 267, 7132, 8476, 5075, 7064, 547, 922, 1164, 2157, 540, 23554, 7530, 589, 543, 595, 256, 1306, 1279, 607, 4816, 23161, 7227, 2394, 2025, 2614, 1354, 11981, 891, 13000, 267, 972, 12582, 1406, 581, 4376, 16069, 596, 689, 10962, 930, 8949, 1145, 883, 741, 11326, 2221, 563, 4692, 3619, 1846, 16202, 631, 24546, 3212, 1564, 888, 300, 24546, 890, 1564, 616, 606, 5140, 1840, 547, 513, 23820, 779, 2732, 269, 1358, 616, 3638, 538, 8324, 543, 6886, 899, 12192, 661, 267, 918, 267, 543, 595, 267, 3246, 1898, 5567, 585, 2635, 2208, 607, 1134, 607, 6492, 7375, 563, 8253, 1152, 602, 267, 855, 27335, 525, 616, 1970, 538, 8477, 2943, 1869, 2709, 7899, 540, 1072, 2640, 269, 1280, 1383, 267, 789, 666, 2087, 10359, 2298, 1813, 547, 741, 6171, 1543, 269, 1717, 267, 621, 568, 1271, 547, 3314, 602, 711, 782, 5613, 616, 2813, 3160, 950, 621, 2501, 547, 8023, 6208, 563, 4462, 686, 701, 27335, 525, 2270, 3404, 531, 545, 3679, 267, 799, 666, 2014, 7513, 10638, 952, 10057, 1932, 1419, 610, 676, 1762, 23161, 563, 16391, 1227, 6738, 610, 23561, 6954, 27335, 525, 1058, 581, 6074, 8164, 2009, 547, 2057, 3824, 20535, 5739, 6464, 269, 1306, 1279, 607, 519, 27335, 525, 616, 5423, 1510, 1022, 3606, 5820, 602, 1522, 10460, 4220, 267, 789, 616, 2922, 585, 23161, 547, 3548, 267, 2436, 6151, 610, 11273, 10750, 563, 2791, 666, 849, 1205, 3860, 609, 875, 596, 4196, 27335, 525, 547, 707, 23161, 269, 3245, 4195, 4829, 21100, 547, 1818, 707, 1378, 19471, 6653, 543, 25970, 521, 1023, 320, 1210, 3141, 1673, 3072, 17870, 267, 972, 779, 1945, 1934, 5078, 1256, 585, 4584, 344, 3548, 619, 563, 11101, 267, 27335, 525, 2709, 7899, 540, 6484, 5013, 269, 1358, 1683, 1804, 5666, 540, 1648, 2059, 609, 8192, 11103, 267, 799, 948, 609, 12536, 267, 2523, 1282, 3905, 4832, 2395, 950, 14031, 3622, 11081, 1851, 2831, 267, 1519, 23161, 563, 12234, 267, 741, 1164, 2157, 540, 12192, 589, 948, 2087, 5075, 267, 799, 568, 2523, 3730, 693, 3781, 942, 1813, 547, 741, 6923, 8476, 32416, 5759, 3379, 547, 3425, 563, 7661, 267, 1810, 1406, 7340, 602, 20208, 568, 1883, 269, 3683, 16567, 27335, 525, 1223, 1291, 547, 9667, 2152, 269, 898, 568, 5227, 547, 3049, 27335, 525, 547, 23161, 1100, 811, 982, 2899, 829, 3018, 267, 2436, 10480, 4805, 610, 6404, 7258, 18720, 17320, 14993, 6980, 267, 4470, 593, 1367, 6492, 7375, 563, 4692, 3619, 1846, 16202, 1133, 686, 701, 631, 24546, 888, 6826, 6297, 950, 8023, 23161, 796, 686, 701, 27335, 525, 267, 607, 789, 2270, 3404, 531, 545, 3679, 799, 666, 2014, 7513, 10638, 563, 16391, 545, 610, 23561, 6954, 27335, 525, 616, 5227, 585, 9319, 1022, 1761, 1072, 4220, 602, 1223, 581, 3361, 676, 10438, 5739, 6464, 269, 1133, 686, 701, 27335, 5452, 1058, 849, 581, 6569, 1991, 547, 4616, 2094, 789, 2270, 1164, 2157, 540, 4006, 543, 949, 10460, 9667, 2152, 538, 23161, 952, 10057, 1932, 1419, 563, 2691, 8600, 513, 7594, 609, 796, 686, 701, 22600, 657, 267, 972, 616, 1896, 5986, 2409, 2139, 971, 607, 14495, 267, 11256, 267, 543, 1989, 3739, 1510, 3606, 5820, 899, 6070, 610, 4006, 799, 1522, 798, 811, 2800, 982, 1434, 585, 707, 3662, 779, 2732, 3666, 563, 300, 836, 3996, 1058, 711, 5372, 18720, 17320, 14993, 6980, 855, 3079, 6039, 2899, 829, 3018, 7258, 873, 607, 17573, 13000, 1813, 547, 741, 1970, 17811, 1543, 2943, 3638, 6484, 5013, 1519, 12192, 589, 543, 918, 2059, 609, 824, 1898, 6886, 971, 607, 31833, 543, 7601, 1851, 1866, 602, 3986, 10359, 2298, 1247, 5355, 5075, 5759, 693, 3781, 942, 7064, 547, 741, 6923, 8476, 32416, 7207, 3379, 547, 3425, 17483, 1103, 20208, 267, 2705, 267, 796, 686, 701, 27335, 525, 2709, 7899, 540, 1072, 2640, 585, 23161, 267, 1818, 873, 606, 4998, 15165, 4781, 689, 942, 547, 942, 5103, 5627, 3404, 531, 545, 3679, 538, 741, 5888, 563, 268, 27759, 631, 24546, 281, 17179, 5452, 1299, 22019, 630, 28436, 1916, 268, 17491, 12474, 281, 8899, 17811, 1543, 1299, 1100, 3773, 14836, 1282, 519, 7041, 1184, 454, 268, 12594, 12700, 281, 6762, 538, 8324, 589, 1299, 918, 267, 824, 1898, 6886, 899, 31833, 1299, 7601, 454, 268, 7621, 531, 545, 18729, 12474, 281, 1230, 13935, 930, 2179, 540, 3404, 531, 545, 3679, 855, 2922, 952, 5423, 7157, 454, 14454, 267, 27335, 525, 666, 581, 513, 14312, 543, 8949, 1521, 585, 23161, 269, 1717, 267, 621, 779, 1271, 547, 3314, 602, 1932, 1454, 540, 513, 1434, 3364, 666, 581, 3983, 267, 543, 519, 1482, 6585, 3020, 585, 27335, 525, 269, 3619, 1846, 1058, 581, 10480, 27335, 525, 538, 20208, 267, 543, 796, 686, 701, 27335, 525, 1058, 581, 14284, 15587, 563, 2026, 519, 6031, 4422, 267, 782, 1919, 538, 20208, 269, 30839, 707, 23161, 27335, 525, 538, 20208, 666, 1683, 873, 609, 1082, 1072, 2640, 267, 1247, 849, 3246, 513, 17705, 1521, 269, 0, 1692, 547, 1451, 2236, 29569, 13450, 538, 2296, 888, 1692, 547, 1451, 2236, 29569, 13450, 538, 2296, 888, 18853, 13052, 5508, 28132, 19006, 454, 268, 1548, 616, 2236, 29569, 13450, 888, 268, 2422, 519, 15864, 1259, 547, 1353, 1912, 6652, 531, 7638, 2125, 454, 268, 23531, 540, 1912, 6652, 531, 7638, 2125, 454, 268, 634, 2495 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17992, 630, 291, 6311, 264, 568, 513, 6310, 5106, 602, 21810, 513, 5311, 540, 2338, 883, 1776, 5311, 540, 2338, 269, 769, 519, 2796, 540, 4633, 4393, 267, 519, 667, 6311, 568, 1031, 547, 2981, 519, 6882, 4871, 19367, 883, 513, 1305, 540, 14170, 1572, 9253, 22039, 595, 788, 560, 1537, 3213, 324, 13266, 630, 300, 293, 6717, 338, 1040, 1452, 14170, 2099, 519, 1648, 538, 1142, 4908, 6512, 593, 519, 9253, 4336, 267, 543, 616, 1031, 607, 2934, 585, 4633, 6284, 780, 3086, 602, 649, 1174, 519, 3268, 3238, 538, 12719, 631, 293, 6717, 338, 267, 1577, 781, 1413, 693, 930, 3009, 780, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5228, 1085, 27251, 269, 742, 339, 17569, 1104, 546, 551, 692, 3698, 544, 325, 764, 4433, 793, 531, 267, 3732, 318, 3433, 2187, 825, 1948, 5153, 476, 272, 281, 2776, 15041, 3508, 529, 454, 825, 840, 318, 655, 3508, 529, 815, 476, 271, 269, 9032, 454, 825, 15091, 5334, 793, 531, 815, 5286, 6910, 4433, 793, 531, 314, 271, 3910, 5365, 314, 272, 281, 316, 910, 840, 318, 655, 3508, 529, 2608, 5365, 11468, 268, 272, 20285, 825, 1948, 5153, 476, 273, 281, 13368, 532, 454, 825, 7406, 15481, 815, 476, 271, 269, 28276, 454, 825, 7406, 23919, 728, 815, 476, 271, 269, 4905, 454, 825, 7406, 28747, 267, 7406, 14067, 788, 815, 7406, 15481, 2608, 3732, 318, 3433, 267, 7406, 23919, 728, 2608, 3732, 318, 3433, 454, 825, 5365, 28747, 815, 7003, 263, 655, 3508, 1242, 5334, 793, 531, 994, 825, 14604, 815, 5286, 25910, 9230, 842, 18828, 269, 576, 559, 4433, 793, 531, 28747, 1315, 7406, 14067, 788, 24270, 703, 6600, 9347, 28747, 21875, 825, 585, 1775, 538, 2039, 17301, 18828, 269, 576, 559, 4433, 793, 531, 28747, 1315, 7406, 14067, 788, 4297, 2187, 1038, 14604, 5157, 267, 2433, 316, 815, 15091, 5334, 793, 531, 5157, 2608, 7406, 14067, 788, 281, 328, 2608, 7406, 14067, 788, 1341, 7406, 28747, 6540, 825, 1948, 5153, 476, 274, 281, 6489, 12976, 454, 825, 6885, 815, 5286, 19544, 2459, 532, 6600, 9347, 28747, 994, 825, 6885, 539, 6958, 29707, 815, 14604, 2608, 6885, 692, 825, 1948, 5153, 476, 275, 281, 16258, 22263, 17992, 630, 293, 10499, 994, 825, 29458, 10499, 815, 476, 24423, 454, 825, 4012, 6958, 29707, 815, 5286, 269, 11274, 5193, 18828, 269, 742, 339, 25331, 742, 339, 263, 13388, 15735, 6958, 29707, 267, 29458, 10499, 11723, 825, 1948, 5153, 476, 276, 281, 9253, 31207, 7813, 14409, 454, 825, 562, 325, 2830, 815, 476, 2412, 454, 825, 5283, 318, 9557, 815, 5286, 269, 28776, 18828, 7456, 1231, 10628, 263, 271, 267, 29458, 10499, 12262, 476, 273, 267, 562, 325, 2830, 1341, 476, 273, 264, 2608, 630, 22143, 10499, 12262, 476, 273, 264, 1315, 3732, 318, 3433, 994, 825, 554, 345, 318, 9557, 815, 476, 10384, 2608, 630, 1015, 2878, 630, 17745, 318, 9557, 1315, 476, 28796, 276, 264, 910, 476, 272, 994, 825, 10822, 815, 5286, 269, 28776, 9230, 22143, 10499, 1341, 476, 272, 264, 2608, 554, 345, 318, 9557, 1315, 3732, 318, 3433, 2020, 825, 535, 23810, 815, 5286, 25910, 9230, 333, 325, 2830, 267, 703, 18828, 269, 28776, 18217, 293, 10499, 1315, 476, 273, 1341, 476, 272, 4297, 4917, 825, 585, 544, 538, 2039, 263, 272, 267, 562, 325, 2830, 1341, 476, 272, 2187, 1038, 535, 8548, 28804, 639, 815, 703, 6357, 514, 314, 332, 910, 476, 272, 8079, 476, 1948, 2451, 454, 1038, 535, 8548, 815, 703, 6357, 514, 314, 332, 8079, 476, 1948, 4099, 454, 1038, 535, 8548, 318, 15200, 815, 703, 6357, 514, 314, 332, 1341, 476, 272, 8079, 476, 1948, 1318, 692, 1038, 585, 737, 538, 2039, 6600, 8548, 28804, 639, 267, 535, 8548, 2187, 2018, 535, 23810, 314, 332, 910, 476, 272, 267, 737, 316, 815, 630, 330, 910, 10822, 314, 332, 910, 476, 272, 8079, 1315, 630, 16535, 314, 332, 316, 910, 10822, 314, 332, 910, 476, 272, 7481, 1038, 585, 737, 538, 2039, 6600, 8548, 267, 535, 8548, 318, 15200, 2187, 2018, 535, 23810, 314, 332, 910, 476, 272, 267, 737, 316, 815, 630, 16535, 314, 332, 1341, 476, 272, 316, 910, 737, 264, 1315, 630, 16535, 314, 332, 1341, 476, 272, 316, 910, 10822, 314, 332, 7481, 825, 6882, 318, 3316, 802, 815, 5286, 31715, 9852, 698, 6958, 29707, 267, 535, 23810, 11053, 994, 825, 6882, 318, 3316, 802, 815, 5286, 269, 3602, 6600, 559, 614, 318, 3316, 802, 2652, 476, 271, 267, 5286, 8807, 16769, 263, 15615, 1040, 10134, 267, 6882, 318, 3316, 802, 264, 476, 1948, 31592, 853, 1464, 454, 825, 6882, 318, 3316, 802, 815, 476, 736, 2608, 5286, 28802, 1015, 6600, 559, 614, 318, 3316, 802, 264, 476, 1948, 28108, 692, 825, 1948, 5153, 476, 277, 281, 2598, 4740, 15328, 710, 17992, 630, 291, 6311, 994, 825, 1003, 318, 576, 1186, 815, 476, 1724, 454, 825, 544, 325, 764, 815, 546, 551, 6600, 559, 614, 318, 3316, 802, 267, 1826, 284, 273, 267, 7852, 284, 272, 267, 2343, 8782, 2180, 334, 10807, 18020, 476, 272, 281, 630, 11133, 318, 576, 1186, 1341, 476, 272, 13580, 567, 1948, 5901, 476, 273, 268, 1724, 692, 825, 6882, 318, 3316, 802, 20699, 630, 12639, 32557, 6600, 559, 614, 318, 3316, 802, 267, 7852, 284, 271, 264, 1341, 476, 272, 324, 268, 279, 994, 825, 544, 325, 764, 20699, 630, 12639, 32557, 9852, 325, 764, 267, 7852, 284, 271, 264, 1341, 476, 272, 324, 268, 279, 994, 825, 2132, 544, 325, 764, 454, 7884, 1103, 713, 3009, 267, 649, 1101, 4019, 840, 15041, 3508, 529, 547, 519, 3403, 5365, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 10384, 2608, 630, 1015, 2878, 630, 17745, 318, 9557, 1315, 476, 28796, 276, 264, 910, 476, 272, 4297, 476, 1948, 22417, 9253, 547, 21636, 454, 825, 10822, 815, 5286, 269, 28776, 9230, 22143, 10499, 1341, 476, 272, 264, 2608, 554, 345, 318, 9557, 1315, 3732, 318, 3433, 2020, 825, 535, 23810, 815, 5286, 25910, 9230, 333, 325, 2830, 267, 703, 18828, 269, 28776, 18217, 293, 10499, 1315, 476, 273, 1341, 476, 272, 4297, 4917, 825, 585, 544, 538, 2039, 263, 272, 267, 562, 325, 2830, 1341, 476, 272, 2187, 1038, 535, 8548, 28804, 639, 815, 703, 6357, 514, 314, 332, 910, 476, 272, 8079, 476, 1948, 2451, 454, 1038, 535, 8548, 815, 703, 6357, 514, 314, 332, 8079, 476, 1948, 4099, 454, 1038, 535, 8548, 318, 15200, 815, 703, 6357, 514, 314, 332, 1341, 476, 272, 8079, 476, 1948, 1318, 692, 1038, 585, 737, 538, 2039, 6600, 8548, 28804, 639, 267, 535, 8548, 2187, 2018, 535, 23810, 314, 332, 910, 476, 272, 267, 737, 316, 815, 630, 330, 910, 10822, 314, 332, 910, 476, 272, 8079, 1315, 630, 16535, 314, 332, 316, 910, 10822, 314, 332, 910, 476, 272, 7481, 1038, 585, 737, 538, 2039, 6600, 8548, 267, 535, 8548, 318, 15200, 2187, 2018, 535, 23810, 314, 332, 910, 476, 272, 267, 737, 316, 815, 630, 16535, 314, 332, 1341, 476, 272, 316, 910, 737, 264, 1315, 630, 16535, 314, 332, 1341, 476, 272, 316, 910, 10822, 314, 332, 7481, 825, 6882, 318, 3316, 802, 815, 5286, 31715, 9638, 578, 6958, 29707, 267, 535, 23810, 11053, 994, 825, 6882, 318, 3316, 802, 815, 5286, 269, 3602, 6600, 559, 614, 318, 3316, 802, 2652, 476, 271, 267, 5286, 8807, 16769, 263, 15615, 1040, 10134, 267, 6882, 318, 3316, 802, 264, 476, 1948, 31592, 853, 1464, 454, 825, 6882, 318, 3316, 802, 815, 476, 736, 2608, 5286, 28802, 1015, 6600, 559, 614, 318, 3316, 802, 264, 476, 1948, 28108, 454, 825, 1003, 318, 576, 1186, 815, 1003, 318, 1723, 27889, 454, 825, 544, 325, 764, 815, 546, 551, 6600, 559, 614, 318, 3316, 802, 267, 1826, 284, 273, 267, 7852, 284, 272, 267, 2343, 8782, 2180, 334, 10807, 18020, 476, 272, 281, 630, 11133, 318, 576, 1186, 1341, 476, 272, 13580, 567, 1948, 5901, 476, 273, 268, 1724, 692, 825, 6882, 318, 3316, 802, 20699, 630, 12639, 32557, 6600, 559, 614, 318, 3316, 802, 267, 7852, 284, 271, 264, 1341, 476, 272, 324, 268, 279, 994, 825, 544, 325, 764, 20699, 630, 12639, 32557, 9852, 325, 764, 267, 7852, 284, 271, 264, 1341, 476, 272, 324, 268, 279, 994, 825, 2132, 544, 325, 764, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 10289, 918, 12685, 328, 7377, 3203, 543, 4706, 17583, 547, 6820, 5071, 12367, 692, 7072, 912, 16954, 1148, 7153, 607, 513, 3982, 7499, 3350, 538, 519, 4571, 268, 4198, 271, 338, 538, 6628, 543, 3013, 267, 6353, 676, 922, 946, 540, 11052, 689, 2442, 2528, 971, 607, 10229, 267, 13371, 2835, 267, 543, 27217, 2686, 3615, 269, 901, 1576, 1770, 12538, 883, 1715, 10215, 781, 2189, 9295, 547, 1402, 1148, 267, 1634, 607, 918, 12685, 328, 1402, 1148, 267, 1247, 8220, 621, 547, 2518, 1374, 3466, 269, 1284, 786, 2263, 519, 3140, 2796, 540, 1402, 1148, 267, 4983, 1883, 5159, 543, 1568, 267, 543, 5659, 519, 4644, 540, 713, 7524, 1148, 1106, 1369, 4207, 2486, 780, 4089, 476, 272, 281, 8466, 12745, 540, 7377, 3203, 454, 2414, 1174, 519, 11944, 540, 1402, 1148, 267, 621, 781, 1898, 547, 2015, 519, 8739, 14426, 2916, 540, 2022, 21351, 3013, 543, 2342, 269, 634, 4473, 540, 2527, 2923, 267, 7082, 1143, 267, 543, 519, 18735, 540, 2442, 2528, 2813, 1007, 3308, 4654, 602, 15449, 730, 4948, 1272, 269, 1452, 7506, 3366, 5159, 899, 9400, 16803, 267, 661, 706, 16037, 14529, 23383, 3960, 328, 267, 20858, 700, 747, 1084, 7322, 267, 543, 29871, 2782, 3128, 547, 6451, 891, 2609, 883, 741, 960, 269, 769, 3257, 865, 267, 789, 23324, 519, 6302, 1063, 1164, 543, 1970, 2528, 267, 4101, 2757, 18765, 540, 5386, 1148, 780, 4089, 476, 273, 281, 17959, 540, 918, 12685, 328, 7377, 3203, 454, 1103, 6476, 547, 922, 1977, 543, 3703, 13413, 267, 918, 12685, 328, 1402, 1148, 814, 4607, 1447, 3007, 1813, 547, 10923, 10072, 543, 4130, 2551, 2450, 269, 1717, 267, 1715, 10215, 781, 10058, 11100, 540, 6805, 8575, 9461, 5389, 267, 7810, 1686, 267, 543, 7414, 29474, 3310, 8329, 547, 513, 3638, 13795, 540, 3308, 18305, 543, 6386, 269, 6206, 5515, 538, 519, 11944, 540, 918, 12685, 328, 1402, 1148, 1331, 30912, 6004, 330, 639, 747, 267, 23583, 9546, 1562, 267, 543, 4793, 12390, 569, 269, 4256, 960, 1419, 11368, 12050, 4778, 267, 12166, 5546, 267, 543, 12572, 11269, 540, 589, 582, 792, 10394, 781, 2067, 5898, 780, 4089, 476, 274, 281, 8865, 5530, 910, 16299, 29443, 3960, 749, 281, 1323, 27748, 545, 918, 12685, 328, 7377, 30310, 454, 291, 1157, 29443, 3960, 749, 568, 24903, 835, 540, 1715, 10215, 781, 1034, 1134, 8153, 1402, 5159, 269, 3571, 11599, 7206, 834, 31466, 4486, 547, 570, 5942, 16515, 2725, 651, 257, 28837, 1010, 2702, 547, 19467, 19635, 2686, 8100, 24568, 713, 2013, 267, 18557, 3197, 543, 8575, 9461, 737, 578, 327, 2967, 3369, 2967, 3270, 23121, 1711, 2502, 543, 2219, 4538, 15885, 269, 1635, 6313, 29443, 3960, 749, 781, 4876, 18330, 267, 649, 2744, 5813, 883, 519, 2081, 646, 4044, 919, 1950, 2152, 4478, 3961, 267, 12796, 2305, 267, 543, 3261, 566, 1369, 4207, 1148, 2259, 780, 4089, 476, 275, 281, 12634, 25684, 540, 7377, 3203, 454, 4407, 930, 13915, 8044, 602, 1402, 1148, 4503, 11610, 1739, 922, 30971, 1485, 538, 519, 1412, 2568, 338, 543, 1412, 3583, 338, 267, 1866, 2226, 602, 621, 3788, 4143, 2221, 1813 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3791, 543, 3803, 1128, 531, 618, 540, 519, 4139, 19937, 593, 8693, 7827, 779, 630, 7709, 6717, 779, 264, 15795, 4879, 1867, 5950, 16074, 2488, 2312, 4287, 547, 6608, 593, 1018, 568, 2877, 547, 2061, 26464, 2916, 15059, 563, 763, 3803, 5758, 267, 8815, 676, 782, 476, 4198, 540, 519, 1158, 779, 6608, 267, 1445, 4513, 593, 519, 991, 585, 2620, 543, 7525, 11912, 547, 5434, 19610, 609, 513, 3670, 19507, 2333, 538, 5092, 547, 1489, 519, 6521, 547, 513, 1970, 3327, 2104, 563, 2005, 3081, 8511, 3154, 5434, 1590, 8445, 676, 476, 1708, 276, 543, 581, 4553, 676, 513, 14869, 7771, 547, 2743, 519, 3077, 540, 12145, 2104, 8022, 547, 476, 272, 269, 276, 290, 1657, 840, 11897, 12009, 2157, 563, 763, 1867, 849, 21410, 602, 519, 3790, 2404, 609, 10300, 1324, 2518, 5434, 676, 476, 10711, 271, 616, 8766, 267, 4611, 538, 519, 9472, 30945, 540, 2518, 12654, 676, 476, 13078, 271, 1373, 1175, 476, 272, 268, 273, 260, 2539, 267, 1247, 15738, 856, 602, 519, 1480, 543, 2804, 3790, 540, 711, 3257, 865, 616, 2484, 3152, 563, 21837, 623, 665, 1442, 267, 2146, 15134, 832, 539, 18763, 6845, 622, 11134, 538, 519, 20554, 267, 1572, 593, 519, 8241, 6554, 547, 646, 539, 519, 5796, 540, 519, 1158, 779, 3744, 563, 10527, 7379, 6717, 1867, 568, 519, 1267, 540, 930, 5722, 1032, 779, 22111, 960, 676, 519, 1655, 3621, 8186, 6313, 2182, 2963, 2223, 6424, 1767, 563, 10527, 7379, 6717, 779, 4681, 20838, 519, 991, 585, 14849, 2962, 267, 3246, 513, 6885, 540, 1175, 476, 1789, 3275, 538, 799, 649, 1590, 3247, 2810, 5434, 563, 10527, 597, 5796, 568, 796, 25406, 5914, 950, 621, 2501, 547, 1007, 8093, 4492, 3785, 1373, 1945, 519, 1158, 3274, 666, 1406, 6488, 267, 607, 1134, 607, 519, 5458, 4220, 540, 1022, 3609, 1935, 602, 12346, 593, 796, 2889, 1597, 4066, 563, 2108, 7197, 11932, 267, 519, 7379, 6717, 2982, 602, 649, 1869, 723, 606, 4316, 547, 2057, 519, 2360, 540, 2916, 15059, 4742, 26464, 563, 2108, 2026, 519, 8689, 540, 519, 1648, 543, 2916, 10872, 693, 519, 4741, 585, 4139, 7025, 4521, 21208, 7288, 1234, 27688, 2798, 856, 267, 1022, 1761, 7182, 593, 1483, 2358, 713, 4316, 616, 711, 3621, 610, 6639, 855, 2797, 543, 2804, 563, 22154, 568, 606, 4316, 649, 3112, 6488, 547, 4413, 543, 5245, 666, 267, 543, 1590, 267, 1397, 5718, 269, 901, 568, 606, 2804, 4316, 602, 814, 1713, 9806, 585, 8241, 10820, 952, 6608, 1205, 519, 3609, 1318, 563, 763, 7379, 6717, 1867, 19156, 519, 2956, 540, 3395, 1007, 7733, 543, 19620, 11934, 855, 3081, 891, 3800, 4805, 786, 711, 581, 2614, 547, 22771, 952, 8093, 4492, 946, 568, 711, 943, 1078, 856, 269, 898, 849, 2798, 547, 10565, 8813, 538, 519, 1942, 540, 7791, 1648, 4066, 267, 538, 930, 2665, 676, 909, 547, 476, 5952, 18336, 8201, 9501, 300, 275, 281, 6820, 23435, 294, 5434, 540, 1110, 8215, 11444, 630, 325, 18365, 1564, 538, 19937, 513, 269, 543, 2404, 13063, 538, 7754, 1564, 536, 267, 524, 267, 546, 264, 543, 15810, 12998, 4093, 689, 2282, 3856, 3609, 10526, 585, 476, 10711, 271, 630, 32292, 601, 536, 264, 0, 1103, 2487, 1296, 267, 519, 1158, 814, 14754, 513, 8037, 10006, 538, 4123, 9993, 543, 4027, 626, 3800, 269, 634, 2518, 5251, 540, 3486, 4123, 568, 18460, 513, 7004, 267, 9141, 676, 513, 2039, 540, 2188, 602, 616, 7133, 11615, 267, 4213, 267, 543, 6800, 5001, 269, 901, 2046, 2376, 6663, 547, 8774, 1769, 593, 519, 1883, 4128, 3297, 519, 3395, 7678, 540, 4123, 9993, 543, 741, 6286, 593, 519, 2518, 4346, 563, 272, 269, 2983, 19205, 570, 5014, 281, 2983, 19205, 7526, 1063, 2101, 9467, 6082, 723, 3648, 8329, 547, 519, 4473, 538, 4123, 9993, 269, 20579, 14554, 267, 24476, 267, 543, 4123, 7496, 723, 1044, 29937, 539, 607, 20320, 2645, 267, 3056, 547, 2799, 4123, 13253, 543, 21463, 538, 2518, 3761, 11800, 563, 273, 269, 2817, 8232, 31700, 281, 31700, 936, 3084, 3354, 723, 19430, 6082, 547, 6615, 519, 13143, 543, 1104, 540, 1978, 5370, 543, 4066, 269, 901, 568, 3226, 10423, 538, 519, 10509, 2872, 267, 1141, 519, 1852, 540, 2565, 3334, 543, 7214, 3959, 814, 1831, 513, 1543, 1190, 3390, 563, 274, 269, 9483, 10466, 1143, 281, 10466, 626, 4507, 723, 1044, 17947, 676, 930, 2477, 607, 513, 1797, 547, 13104, 6469, 6080, 689, 4914, 6735, 269, 1452, 4507, 1419, 1491, 519, 1106, 540, 29388, 267, 24307, 267, 543, 9889, 553, 267, 2870, 513, 4101, 1604, 585, 3486, 4123, 563, 275, 269, 17455, 2438, 268, 5715, 340, 1027, 2598, 4533, 687, 281, 634, 5046, 268, 866, 6855, 6534, 16426, 538, 2518, 3761, 11800, 267, 20872, 930, 6082, 547, 556, 24834, 10663, 741, 13829, 593, 4914, 5370, 543, 2326, 269, 901, 814, 3366, 547, 7125, 585, 18534, 1681, 610, 683, 6702, 1681, 2504, 267, 5732, 4227, 3486, 4123, 12531, 563, 276, 269, 11780, 1955, 4472, 1734, 281, 6431, 11962, 4123, 20817, 1063, 2477, 723, 23185, 9840, 827, 14619, 543, 9698, 538, 3486, 4123, 269, 18831, 609, 1804, 4123, 1147, 680, 4926, 723, 2097, 896, 2604, 547, 2232, 891, 20817, 267, 3056, 547, 4123, 3609, 11941, 563, 277, 269, 21744, 6820, 18868, 281, 24021, 6990, 616, 4730, 606, 5051, 1713, 1909, 538, 2518, 4123, 269, 1306, 891, 6082, 1332, 538, 2804, 4222, 267, 789, 616, 28196, 1456, 4123, 3347, 543, 6384, 267, 799, 666, 1291, 547, 10593, 538, 4123, 4507, 563, 3412, 4124, 585, 4139, 11780, 912, 763, 32117, 4123, 9993, 723, 2484, 23568, 4539, 585, 2518, 4123, 912, 272, 269, 18242, 20456, 2598, 4533, 687, 281, 4139, 3761, 11800, 723, 1831, 811, 7925, 547, 21463, 267, 7133, 519, 12905, 6765, 540, 5370, 543, 2533, 563, 273, 269, 16842, 26959, 281, 11780, 9993, 666, 1267, 538, 2362, 3790, 585, 4213, 267, 799, 949, 6038, 581, 5293, 593, 547, 6800, 538, 519, 1106, 540, 2362, 5777, 563, 274, 269, 28687, 1643, 1399, 281, 24371, 616, 5185, 609, 3152, 10462, 1813, 547, 519, 17674, 1464, 540, 4123, 4507, 267, 1818, 1279, 3856, 4058, 543, 9541, 4101, 563, 275, 269, 15783, 585, 11780, 12668, 281, 634, 15583, 566, 540, 4123, 9993, 666, 9594, 1427, 8932, 2218, 3527, 689, 4299, 6082, 267, 3056, 547, 4123, 10617, 602, 666, 2800, 519, 2518, 4346, 563, 276, 269, 1955, 6244, 539, 9483, 12618, 281, 11780, 9993, 666, 17225, 2804, 2208, 676, 12145, 1569, 547, 2518, 6990, 543, 4227, 4123, 5829, 2816, 3255, 563, 763, 8375, 7678, 540, 4123, 9993, 2066, 519, 1158, 568, 513, 1950, 3390, 609, 15491, 3123, 269, 2755, 930, 3800, 949, 581, 9141, 676, 16048, 4145, 267, 789, 849, 10460, 1713, 2591, 585, 3486, 4123, 267, 2518, 2804, 2208, 267, 543, 9316, 1851, 6082, 269, 22367, 6362, 513, 3666, 1063, 7863, 3084, 4690, 543, 5807, 3486, 4123, 3788, 513, 2629, 4305, 585, 14519, 543, 519, 2518, 2146, 269, 0, 2005, 779, 3636, 543, 13566, 267, 543, 621, 779, 707, 1554, 1055, 269, 898, 779, 2182, 547, 5706, 519, 20882, 547, 2212, 585, 513, 12701, 540, 1216, 547, 7669, 267, 3165, 267, 610, 2972, 1216, 5026, 269, 2201, 971, 856, 902, 267, 1082, 616, 15673, 539, 547, 1039, 513, 1906, 24253, 4568, 2213, 10425, 547, 519, 16830, 267, 855, 4568, 543, 1216, 5026, 666, 6961, 547, 581, 513, 1360, 5906, 4999, 563, 10666, 835, 4627, 1004, 5884, 538, 713, 11662, 538, 1022, 2016, 1032, 269, 1717, 267, 1034, 546, 3497, 902, 1223, 581, 14284, 543, 616, 1419, 1813, 547, 1981, 23824, 610, 606, 23388, 267, 971, 607, 30534, 547, 2322, 593, 513, 1272, 29075, 269, 27051, 476, 3199, 2600, 540, 9601, 616, 2367, 267, 1317, 789, 616, 3622, 811, 22672, 1652, 982, 2021, 563, 2704, 4022, 5526, 547, 581, 513, 3815, 538, 5176, 3368, 540, 782, 546, 3497, 902, 1851, 4079, 543, 14038, 267, 5631, 1317, 621, 666, 10556, 10385, 543, 2333, 1981, 23824, 269, 1280, 1383, 267, 7669, 11302, 616, 811, 2693, 547, 979, 856, 1932, 2484, 689, 13272, 543, 581, 8572, 547, 1118, 621, 1394, 267, 610, 789, 949, 711, 5469, 875, 4411, 789, 2811, 3478, 269, 769, 519, 7535, 267, 13546, 321, 686, 730, 2043, 616, 849, 811, 2693, 547, 4685, 883, 1216, 602, 568, 1932, 13719, 269, 1656, 1851, 10935, 619, 267, 4568, 666, 10556, 3666, 267, 5075, 543, 5114, 942, 267, 799, 6941, 1946, 4568, 568, 513, 3815, 538, 1614, 856, 540, 2947, 1630, 908, 7972, 563, 7804, 9722, 543, 6117, 3652, 4019, 547, 1216, 5026, 607, 1134, 256, 1924, 2972, 707, 19463, 1216, 5026, 1101, 543, 4688, 519, 4568, 2213, 10425, 585, 950, 596, 2461, 9108, 1394, 593, 13272, 269, 3525, 3130, 568, 2141, 538, 1434, 6492, 267, 1256, 593, 12647, 543, 8933, 256, 0, 24400, 519, 3501, 10516, 585, 513, 1126, 666, 581, 513, 4101, 4305, 267, 543, 621, 666, 581, 1256, 811, 865, 950, 519, 1126, 814, 10295, 269, 5753, 609, 10295, 723, 2189, 4690, 543, 22740, 8481, 267, 543, 519, 1655, 13344, 585, 873, 616, 1346, 602, 8597, 547, 741, 1808, 2115, 543, 7375, 269, 3371, 779, 513, 3391, 547, 948, 596, 3442, 519, 1318, 10516, 585, 1453, 609, 10295, 267, 19040, 676, 2085, 1895, 563, 1432, 547, 2015, 950, 7446, 513, 10516, 585, 1453, 609, 10295, 454, 2691, 7446, 13344, 585, 1453, 609, 10295, 267, 2015, 741, 2189, 10444, 2115, 543, 7375, 269, 3509, 1453, 609, 10295, 5660, 9162, 602, 2709, 28241, 610, 3308, 14242, 269, 1452, 1223, 1331, 535, 573, 1326, 9162, 267, 5277, 5163, 11164, 4565, 619, 267, 610, 10444, 1319, 338, 563, 30772, 267, 2015, 741, 11095, 1377, 2864, 982, 741, 26567, 2085, 269, 589, 11442, 602, 568, 1646, 958, 3617, 786, 581, 811, 2502, 543, 6225, 547, 519, 1126, 563, 7661, 267, 2015, 741, 1808, 4690, 269, 3509, 1453, 609, 10295, 723, 2027, 2127, 540, 1719, 267, 543, 513, 10516, 1644, 547, 891, 4690, 666, 581, 7184, 6209, 547, 873, 563, 294, 22284, 585, 1453, 609, 10295, 676, 2085, 454, 307, 15957, 6840, 630, 272, 268, 274, 13012, 994, 2690, 20854, 609, 10295, 267, 10444, 9162, 616, 606, 5140, 3903, 269, 1358, 12954, 519, 12823, 543, 948, 538, 3384, 5179, 1983, 563, 17806, 3293, 11576, 800, 645, 8712, 281, 1452, 11084, 2097, 538, 1114, 5546, 267, 7306, 267, 543, 18282, 267, 3246, 28241, 14242, 563, 15404, 673, 29698, 281, 11822, 7405, 899, 27120, 610, 1535, 2643, 2684, 2158, 666, 948, 2087, 3384, 5386, 5179, 1983, 267, 543, 6338, 873, 547, 1114, 4992, 799, 666, 948, 609, 1893, 1646, 563, 25413, 26541, 3149, 610, 853, 4428, 539, 12292, 281, 1452, 1683, 4313, 543, 666, 581, 3730, 538, 3384, 1514, 543, 3929, 1983, 563, 7093, 4149, 1041, 630, 275, 268, 276, 13012, 994, 4263, 713, 2085, 267, 7820, 3214, 1376, 3695, 741, 1604, 811, 8362, 269, 1677, 903, 602, 948, 873, 1451, 543, 1174, 741, 10450, 616, 4998, 585, 3214, 563, 303, 340, 26072, 281, 11822, 13410, 666, 948, 2087, 1966, 9010, 1983, 543, 1688, 31378, 11558, 563, 8624, 1681, 7734, 281, 1452, 666, 948, 2087, 1445, 543, 5876, 1247, 849, 1373, 513, 22196, 2534, 563, 19465, 2349, 4169, 281, 1452, 666, 12954, 5876, 543, 8901, 4656, 563, 18662, 5025, 613, 630, 277, 268, 1321, 13012, 994, 18662, 21943, 1453, 609, 10295, 949, 4324, 689, 9162, 602, 3895, 1514, 5872, 543, 5042, 1646, 563, 32317, 10632, 281, 11822, 4604, 3756, 666, 948, 2087, 1514, 1983, 267, 2490, 23824, 267, 543, 7580, 3206, 563, 20486, 281, 16514, 2835, 610, 1346, 609, 2241, 2984, 666, 948, 2087, 1893, 543, 8223, 1983, 563, 9209, 4675, 15533, 281, 595, 2001, 976, 267, 1216, 3712, 832, 267, 610, 10036, 666, 948, 7820, 1453, 2769, 5876, 543, 4196, 607, 513, 22196, 2534, 563, 5938, 523, 6162, 630, 1724, 268, 1240, 13012, 994, 5938, 523, 6162, 609, 10295, 1522, 5660, 13344, 602, 8597, 547, 741, 1808, 4690, 610, 948, 873, 1020, 1272, 1983, 563, 22492, 9314, 7734, 610, 23861, 338, 281, 1403, 789, 723, 513, 1880, 1719, 610, 15908, 267, 513, 1433, 610, 23861, 1644, 547, 602, 1131, 581, 513, 1390, 10516, 563, 290, 8504, 13088, 281, 11822, 5986, 2645, 610, 513, 3434, 1504, 609, 2653, 10346, 666, 948, 873, 1020, 7115, 543, 1272, 1983, 563, 297, 712, 11594, 610, 4144, 2456, 281, 1452, 666, 1683, 606, 17752, 585, 741, 4555, 543, 4606, 267, 543, 948, 873, 2087, 741, 2792, 1983, 563, 763, 7454, 9162, 585, 513, 1126, 609, 10295, 8552, 4524, 454, 2080, 616, 930, 1390, 13344, 585, 1453, 609 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 2601, 1946, 12675, 9361, 791, 4202, 1072, 543, 8992, 2068, 814, 547, 798, 609, 519, 7636, 22107, 3547, 602, 2049, 2390, 7555, 563, 2026, 2417, 6045, 538, 519, 1433, 267, 834, 7476, 5455, 10590, 1369, 476, 3445, 7643, 540, 8375, 689, 9361, 547, 7555, 267, 519, 16757, 543, 10408, 1949, 602, 1184, 1973, 4006, 267, 27831, 1938, 267, 543, 8501, 2443, 799, 616, 25358, 676, 7378, 2443, 616, 15181, 563, 5472, 540, 891, 7636, 2360, 616, 15181, 3274, 676, 8876, 707, 1560, 7076, 2390, 707, 7953, 269, 1452, 10408, 6127, 616, 849, 3743, 585, 11319, 10173, 883, 707, 2281, 543, 267, 952, 2944, 5781, 267, 786, 32753, 6175, 707, 1981, 540, 3987, 543, 8377, 563, 1103, 2110, 267, 693, 519, 7636, 1377, 267, 519, 1480, 1560, 729, 2966, 547, 581, 3742, 543, 593, 519, 1847, 782, 1554, 1279, 269, 17547, 3001, 585, 6905, 5712, 540, 942, 267, 543, 621, 781, 899, 10213, 707, 1560, 621, 781, 942, 547, 9505, 1524, 543, 5965, 585, 2669, 563, 4407, 649, 5693, 991, 547, 1964, 689, 942, 547, 942, 267, 602, 1964, 568, 9277, 547, 2736, 909, 2534, 267, 711, 519, 824, 1259, 1472, 269, 590, 9231, 568, 711, 9277, 547, 581, 513, 1259, 540, 1272, 269, 590, 9231, 538, 513, 11381, 568, 513, 1360, 796, 11499, 14302, 602, 568, 3983, 711, 1152, 585, 707, 1394, 855, 849, 707, 10307, 563, 293, 6136, 267, 519, 16185, 568, 2241, 281, 3680, 9361, 543, 1205, 811, 3350, 883, 707, 1272, 269, 1403, 596, 723, 606, 5604, 2816, 267, 2015, 3478, 513, 1796, 5346, 11380, 269, 1306, 513, 2489, 4358, 23988, 267, 23821, 710, 15565, 7555, 585, 693, 2547, 476, 1015, 3764, 1142, 5662, 269, 1403, 596, 4312, 1044, 9361, 1524, 585, 513, 2407, 5662, 267, 596, 4312, 2893, 1932, 1279, 269, 594, 3494, 476, 1015, 3764, 568, 519, 6207, 5934, 543, 267, 23679, 267, 596, 9364, 1616, 547, 3970, 9361, 547, 1614, 3108, 610, 1447, 563, 2750, 947, 633, 590, 9231, 8048, 338, 547, 1401, 9151, 539, 20709, 454, 30342, 25356, 676, 707, 5604, 2816, 286, 901, 1932, 949, 723, 1945, 547, 798, 609, 7050, 9361, 269, 1306, 4080, 538, 513, 476, 1001, 278, 1353, 538, 519, 4750, 540, 27999, 6925, 267, 799, 844, 518, 1221, 476, 4510, 278, 5604, 4600, 281, 1321, 454, 10454, 17013, 6170, 606, 3328, 540, 476, 277, 269, 3066, 3108, 540, 606, 476, 279, 16923, 2324, 6521, 538, 513, 9361, 2990, 269, 634, 2164, 4951, 602, 476, 4366, 269, 279, 260, 540, 519, 5171, 1705, 711, 1745, 6899, 609, 741, 960, 560, 725, 543, 476, 10463, 269, 277, 260, 5433, 25356, 1282, 519, 960, 1485, 563, 12234, 267, 476, 277, 269, 274, 260, 11124, 689, 13119, 267, 543, 476, 1556, 269, 273, 260, 540, 873, 4080, 5409, 28309, 573, 8598, 269, 634, 2164, 540, 519, 28679, 304, 1496, 301, 867, 545, 4053, 1529, 25063, 7726, 32666, 316, 4951, 602, 8405, 630, 7871, 269, 276, 15992, 2539, 1394, 630, 7871, 269, 273, 8472, 543, 13105, 630, 7906, 269, 277, 8472, 2589, 941, 519, 1034, 11342, 1966, 1851, 5604, 4600, 6693, 5978, 2164, 8612, 602, 1279, 9361, 2053, 941, 2404, 609, 25874, 1282, 519, 2324, 1554, 267, 8519, 2816, 9547, 267, 13119, 267, 543, 30273, 4524, 2589, 538, 519, 17525, 267, 2539, 1394, 267, 25427, 338, 267, 543, 19704, 540, 5604, 4600, 4799, 9556, 4733, 8447, 11314, 2052, 2254, 2142, 3683, 323, 821, 454, 1103, 5437, 476, 1708, 274, 594, 26906, 3220, 269, 6276, 744, 262, 11390, 1030, 324, 267, 513, 6315, 6048, 609, 519, 11068, 29958, 320, 9839, 4659, 693, 853, 269, 8402, 11233, 538, 17857, 4975, 267, 827, 3635, 546, 3151, 269, 1261, 6192, 1010, 3556, 5735, 2866, 693, 25832, 18669, 563, 3891, 543, 1614, 824, 1071, 2246, 4243, 3370, 513, 13849, 20400, 538, 519, 4728, 5025, 1440, 559, 476, 1708, 274, 3390, 540, 16713, 6925, 267, 1724, 519, 4760, 540, 519, 16713, 3557, 6481, 5948, 267, 799, 814, 7096, 6286, 269, 594, 2070, 713, 1353, 607, 513, 19506, 602, 32753, 4957, 1250, 5784, 593, 3635, 269, 8422, 1883, 1491, 3620, 2345, 3357, 856, 540, 713, 1382, 912, 272, 269, 32451, 1454, 24526, 3635, 1394, 18394, 2443, 1403, 596, 2811, 25161, 543, 2253, 547, 3635, 267, 596, 1205, 513, 9570, 17466, 6175, 538, 9019, 267, 3987, 267, 4965, 267, 1164, 1973, 2604, 267, 18337, 2068, 267, 21404, 267, 26878, 13449, 807, 267, 8813, 543, 811, 269, 1717, 267, 3564, 476, 4037, 3764, 829, 3018, 267, 596, 1376, 9561, 1346, 2640, 269, 15332, 2185, 3108, 513, 3018, 267, 596, 711, 1152, 2744, 4986, 538, 2474, 540, 1072, 2640, 267, 596, 849, 32753, 6318, 707, 1981, 540, 2295, 2042, 563, 273, 269, 2791, 3112, 936, 4777, 9793, 3635, 2443, 769, 519, 2013, 540, 9793, 3635, 267, 2705, 2443, 29101, 3989, 607, 16706, 547, 519, 1448, 1141, 596, 2811, 5594, 2842, 539, 855, 666, 4163, 593, 513, 6643, 2443, 621, 781, 1360, 2312, 602, 811, 4959, 1732, 543, 3112, 581, 22536, 821, 563, 22818, 1256, 811, 9670, 267, 9793, 3635, 849, 10607, 782, 2275, 1021, 6668, 1732, 982, 24526, 3635, 2443, 827, 1079, 2053, 1732, 269, 6201, 540, 9793, 2168, 2534, 1331, 12202, 267, 2777, 1740, 267, 10649, 543, 6972, 267, 1175, 547, 2012, 513, 1906, 563, 274, 269, 7021, 4777, 532, 4222, 2866, 568, 8338, 982, 3257, 4986, 693, 782, 2443, 634, 2640, 540, 4222, 2866, 3193, 525, 856, 693, 476, 2412, 547, 476, 2568, 3764, 513, 3018, 269, 15332, 602, 267, 596, 2811, 9561, 4324, 267, 543, 2899, 596, 1205, 547, 476, 9873, 547, 476, 9610, 3764, 540, 4222, 2866, 829, 3018, 267, 596, 2965, 1439, 909, 609, 20796, 10345, 1279, 3856, 6668, 982, 1004, 945, 1810, 1405, 4222, 5721, 2336, 3383, 267, 476, 736, 3764, 7466, 513, 3018, 593, 1875, 8410, 5913, 5737, 2395, 267, 610, 476, 2412, 3764, 2899, 513, 3018, 568, 519, 6653, 5544, 269, 1411, 849, 1810, 1405, 1616, 707, 3635, 20786, 547, 4099, 1472, 4222, 2866, 269, 898, 1058, 581, 606, 1039, 6823, 267, 607, 596, 1205, 2484, 3152, 2640, 3274, 689, 6972, 267, 610, 1022, 824, 9793, 3635, 563, 1432, 782, 540, 713, 1797, 538, 4052, 2474, 568, 602, 972, 781, 1100, 991, 547, 4497, 538, 1164, 27233, 588, 1066, 6681, 3635, 3564, 476, 4037, 3764, 829, 3018, 267, 610, 4222, 2866, 3564, 476, 2412, 3764, 513, 3018, 269, 23560, 865, 666, 581, 3810, 4831, 335, 8793, 563, 21156, 267, 1445, 593, 7646, 547, 9793, 2168, 2238, 267, 1919, 602, 1832, 707, 1560, 538, 5163, 1510, 11093, 1454, 8833, 610, 2566, 593, 621, 269, 29303, 568, 5310, 519, 1655, 2534, 596, 666, 798, 269, 898, 781, 827, 476, 273, 267, 1822, 3268, 829, 13304, 267, 543, 1169, 476, 272, 267, 1822, 3268, 596, 1205, 593, 3328, 829, 1554, 6971, 707, 9019, 676, 476, 1015, 260, 547, 476, 1428, 18336, 4517, 267, 1586, 267, 1247, 2640, 2253, 547, 29415, 1472, 476, 1321, 267, 1822, 3268, 267, 789, 798, 711, 6175, 543, 1831, 4831, 335, 8793, 267, 607, 1018, 4523, 950, 596, 2811, 3257, 1932, 1454, 1164, 27233, 3635, 563, 2690, 513, 2657, 1512, 5020, 267, 12315, 5455, 2659, 17348, 454, 763, 2963, 568, 11566, 693, 713, 1448, 602, 12675, 9361, 786, 2569, 707, 14438, 676, 5009, 5312, 2068, 269, 2311, 11953, 5934, 267, 2057, 9361, 585, 811, 982, 476, 2004, 3764, 856, 540, 1169, 5662, 269, 27814, 267, 596, 9364, 1616, 547, 3970, 9361, 607, 1454, 607, 2009, 269, 1306, 5018, 4505, 267, 1004, 945, 2661, 538, 989, 337, 4115, 2950, 1694, 606, 3328, 540, 1175, 1614, 3108, 513, 1554, 267, 799, 1131, 581, 606, 8098, 10928, 3804, 563, 296, 849, 4363, 4101, 3054, 547, 3802, 607, 1454, 607, 2009, 1142, 1554, 269, 1403, 596, 723, 547, 3442, 1063, 2469, 547, 519, 15547, 547, 960, 856, 543, 3274, 6972, 811, 267, 6972, 949, 581, 519, 1732, 3903, 269, 2334, 1767, 267, 952, 596, 1616, 547, 2731, 28231, 5021, 2640, 267, 1039, 538, 476, 4037, 3764, 540, 1164, 27233, 3635, 543, 476, 2412, 3764, 540, 4222, 2866, 829, 3018, 607, 1134, 269, 0, 29730, 8663, 545, 5135, 3797, 630, 295, 289, 5588, 994, 29730, 8663, 545, 5135, 3797, 630, 295, 289, 5588, 264, 568, 513, 2564, 2126, 1141, 513, 1268, 3826, 1127, 6986, 5135, 538, 513, 2046, 28962, 12068, 267, 3850, 811, 5135, 547, 23271, 538, 519, 1973, 543, 5351, 538, 7067, 269, 898, 568, 1031, 547, 1521, 513, 3099, 540, 2175, 971, 607, 10920, 16054, 19210, 267, 1875, 13463, 2718, 16398, 267, 543, 930, 14715, 2175, 563, 1692, 1281, 670, 289, 5588, 960, 888, 295, 289, 5588, 3322, 7244, 6986, 5135, 538, 513, 12068, 602, 568, 2046, 28962, 547, 513, 1377, 2362, 982, 3339, 11626, 2604, 269, 634, 2799, 2604, 2636, 811, 5135, 547, 581, 15702, 538, 519, 18072, 267, 799, 666, 3895, 7067, 543, 2569, 6553, 563, 2691, 649, 13236, 2011, 693, 4262, 1377, 267, 519, 5135, 538, 519, 2011, 568, 5645, 676, 2699, 1973, 2281, 543, 16487, 547, 519, 8031, 538, 938, 1560, 269, 1717, 267, 950, 519, 1560, 568, 13676, 610, 972, 568, 513, 3668, 540, 5135, 3761, 267, 519, 7067, 1184, 666, 581, 15176, 269, 769, 971, 2665, 267, 670, 289, 5588, 666, 1683, 3606, 5135, 547, 519, 1560, 267, 799, 666, 948, 547, 3895, 7067, 543, 2569, 6553, 563, 1432, 2175, 666, 670, 289, 5588, 581, 1031, 547, 1521, 888, 295, 289, 5588, 814, 1044, 1031, 547, 1521, 513, 2647, 2039, 540, 2564, 2175, 267, 1519, 912, 268, 1546, 4818, 1833, 19210, 281, 670, 289, 5588, 568, 4122, 1031, 547, 1521, 4129, 945, 1995, 10920, 16054, 19210, 267, 849, 1634, 607, 968, 1492, 536, 1742, 1848, 901, 2783, 4386, 950, 9436, 18616, 1106, 538, 519, 18072, 543, 8031, 1813, 547, 4028, 2242, 538, 2604, 1282, 11362, 269, 670, 289, 5588, 666, 948, 547, 23271, 519, 18616, 543, 2569, 519, 2589, 540, 519, 2783, 563, 268, 12539, 24785, 15464, 281, 670, 289, 5588, 666, 581, 1031, 547, 1521, 3327, 24785, 15464, 676, 4543, 547, 4894, 519, 3327, 24785, 689, 519, 18072, 543, 8031, 563, 268, 654, 895, 7067, 281, 670, 289, 5588, 666, 3895, 10138, 7067, 676, 2810, 5135, 3761, 547, 519, 8031, 543, 4227, 6553, 563, 268, 24658, 3797, 281, 670, 289, 5588, 666, 581, 1031, 547, 3986, 519, 7145, 540, 5982, 3797, 676, 2810, 5135, 3761, 547, 519, 10510, 563, 268, 3004, 9964, 2634, 5945, 281, 670, 289, 5588, 814, 1044, 6594, 607, 513, 1761, 2126, 585, 15779, 2634, 5945, 267, 607, 621, 949, 948, 547, 2569, 2634, 6553, 543, 3895, 7067, 563, 268, 853, 6593, 281, 670, 289, 5588, 814, 849, 1044, 6594, 607, 513, 1761, 2126, 585, 8482, 267, 607, 621, 949, 948, 547, 2333, 5135, 3761, 547, 519, 2634, 543, 2569, 6553, 563, 268, 20150, 281, 670, 289, 5588, 814, 1044, 6594, 607, 513, 1761, 2126, 585, 10295, 267, 607, 621, 949, 948, 547, 2569, 6553, 538, 519, 2634, 563, 1432, 616, 519, 1761, 2640, 540, 670, 289, 5588, 888, 763, 1761, 2640, 540, 670, 289, 5588, 1331, 912, 268, 20865, 10138, 7067, 281, 670, 289, 5588, 666, 948, 547, 3895, 10138, 7067, 676, 2810, 5135, 3761, 547, 519, 8031, 543, 4227, 6553, 563, 268, 25841, 6553, 281, 670, 289, 5588, 666, 948, 547, 2569, 6553, 538, 519, 1560, 267, 799, 949, 581, 6225, 585, 513, 3099, 540, 2564, 2175, 563, 268, 20865, 5135, 3761, 547, 519, 8031, 281, 670, 289, 5588, 666, 948, 547, 2333, 5135, 3761, 547, 519, 8031, 267, 799, 949, 3895, 7067, 543, 2569, 519, 1981, 540, 5160, 3441, 563, 268, 24046, 7145, 540, 5982, 3797, 281, 670, 289, 5588, 666, 581, 1031, 547, 3986, 519, 7145, 540, 5982, 3797, 676, 2810, 519, 5135, 3761, 547, 519, 10510, 563, 1432, 616, 519, 1761, 4220, 540, 670, 289, 5588, 888, 763, 1761, 4220, 540, 670, 289, 5588, 1331, 912, 268, 4446, 582, 571, 6373, 281, 670, 289, 5588, 666, 2014, 3046, 582, 571, 6373, 267, 799, 568, 3441, 547, 519, 1560, 779, 8031, 1813, 547, 2242, 538, 2604, 269, 901, 666, 2049, 538, 519, 10772, 267, 5609, 4926, 267, 9641, 267, 543, 4522, 563, 268, 27488, 17219, 281, 22165, 3107, 6986, 5135, 693, 1164, 2604, 666, 2014, 5135, 17219, 267, 799, 666, 1267, 538, 17465, 267, 5075, 2242, 267, 543, 824, 2589, 563, 268, 1849, 320, 755, 5268, 14113, 281, 2368, 1004, 949, 1995, 804, 320, 755, 5268, 14113, 610, 4160, 1247, 538, 519, 5409, 8663, 545, 12068, 563, 268, 9605, 9651 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 5883, 707, 8401, 1145, 267, 5676, 1456, 707, 26068, 2623, 267, 543, 12419, 707, 4633, 1134, 563, 288, 1857, 4633, 827, 2528, 2636, 1004, 547, 2263, 602, 2528, 781, 1082, 18125, 543, 666, 1217, 610, 22321, 606, 5304, 18531, 827, 513, 2528, 666, 679, 13097, 1346, 6217, 519, 4633, 267, 799, 3947, 519, 5304, 513, 4960, 547, 1451, 827, 3344, 540, 513, 2528, 789, 917, 2370, 827, 1004, 949, 1265, 269, 12989, 568, 513, 1863, 21626, 540, 2528, 1148, 2378, 716, 7291, 689, 4550, 3594, 267, 707, 2707, 585, 1863, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 2686, 31074, 4633, 7291, 25644, 269, 8836, 31074, 10950, 547, 707, 2686, 31074, 1565, 1576, 713, 1565, 1770, 786, 3356, 998, 3388, 596, 991, 547, 917, 547, 2569, 707, 31536, 542, 267, 1451, 519, 17950, 540, 3760, 6340, 267, 543, 2322, 1927, 513, 8013, 2686, 31074, 4633, 269, 0, 288, 5420, 13355, 3819, 1184, 16945, 1984, 269, 589, 6151, 17524, 568, 519, 3937, 1031, 547, 20836, 6151, 2326, 883, 834, 3863, 332, 1460, 257, 1282, 519, 5478, 540, 14066, 267, 796, 268, 3033, 5536, 1131, 6749, 547, 519, 5377, 267, 543, 4430, 1216, 9782, 547, 519, 1283, 269, 634, 1216, 729, 1547, 29137, 840, 515, 831, 269, 9537, 540, 3819, 6151, 17524, 1331, 3440, 14200, 267, 16945, 14200, 543, 17200, 14200, 563, 288, 3440, 1984, 568, 513, 1826, 540, 32291, 1031, 547, 20836, 543, 11100, 2326, 585, 946, 538, 7777, 19703, 634, 3440, 1984, 666, 20836, 1585, 22714, 543, 824, 2326, 2901, 6632, 610, 3819, 269, 1703, 616, 1079, 5686, 540, 3440, 1984, 267, 16416, 1826, 543, 936, 6420, 1826, 1813, 547, 1114, 454, 15879, 626, 675, 593, 5439, 543, 519, 8990, 540, 1216, 538, 5439, 616, 8268, 269, 476, 3607, 288, 2776, 5183, 337, 28808, 543, 519, 2409, 540, 15018, 891, 5439, 269, 27759, 634, 3440, 1984, 568, 513, 3730, 3926, 585, 8860, 17571, 602, 616, 711, 1932, 2182, 269, 898, 5161, 540, 513, 454, 19878, 476, 1724, 267, 476, 1001, 277, 11831, 14200, 723, 513, 1297, 540, 5383, 585, 17819, 17571, 2901, 6632, 610, 3819, 269, 3440, 14200, 666, 13918, 713, 676, 13544, 7566, 519, 12718, 543, 21883, 4411, 1216, 269, 11831, 14200, 616, 2139, 689, 476, 271, 269, 272, 547, 476, 4335, 271, 7523, 6632, 610, 3819, 4390, 563, 13202, 476, 2764, 267, 476, 1001, 277, 6271, 1271, 9936, 568, 519, 4396, 1543, 538, 519, 1984, 3049, 269, 1547, 769, 519, 1985, 1900, 267, 1793, 25744, 4396, 1543, 519, 7626, 2597, 547, 1216, 4320, 729, 10371, 6356, 540, 28634, 1604, 593, 519, 737, 27282, 543, 10069, 7497, 540, 3819, 3440, 17819, 563, 305, 1926, 476, 278, 267, 538, 2090, 593, 15144, 2666, 538, 513, 3440, 1984, 267, 1336, 2370, 1689, 538, 519, 2698, 853, 3305, 543, 22748, 8291, 476, 279, 1118, 519, 3948, 602, 519, 7509, 1543, 568, 13980, 540, 519, 5439, 941, 2901, 12699, 476, 272, 5662, 693, 476, 8099, 610, 1313, 16438, 8491, 3819, 610, 6632, 563, 9802, 476, 272, 267, 476, 1001, 271, 18919, 10712, 5954, 568, 23478, 606, 4401, 7626, 15018, 1299, 8860, 2030, 585, 513, 476, 277, 332, 540, 476, 274, 332, 512, 6853, 540, 4401, 7626, 1373, 10480, 547, 1079, 27414, 3819, 619, 267, 1079, 3440, 14200, 267, 1079, 634, 1071, 268, 9690, 27414, 3819, 518, 1743, 625, 519, 1570, 543, 6971, 519, 7509, 1377, 547, 476, 272, 18336, 288, 2413, 8860, 1984, 1590, 581, 2111, 547, 4308, 609, 1082, 4247, 1247, 3246, 513, 581, 5462, 971, 607, 7509, 610, 5230, 4496, 1543, 1590, 711, 581, 12012, 538, 1022, 1259, 1282, 519, 2904, 519, 3732, 581, 12015, 610, 2377, 761, 339, 1194, 1354, 8860, 286, 631, 3739, 26836, 12724, 1667, 15585, 528, 24759, 28981, 24759, 12928, 1057, 24759, 5494, 24759, 11831, 24759, 563, 1721, 1383, 267, 519, 2603, 639, 1198, 281, 6289, 27494, 730, 17234, 610, 19267, 616, 1216, 268, 543, 589, 3819, 8860, 1184, 609, 8860, 11084, 540, 269, 3436, 274, 6515, 3331, 502, 568, 2356, 1079, 2010, 540, 3440, 14200, 799, 1683, 519, 2838, 1648, 3403, 585, 2458, 18042, 8860, 1524, 547, 519, 0, 21801, 476, 1691, 267, 476, 1001, 279, 2098, 4532, 10638, 666, 2049, 609, 3676, 971, 607, 15867, 327, 985, 2068, 267, 22377, 894, 897, 4345, 13689, 593, 519, 10335, 540, 519, 10638, 267, 513, 1072, 3318, 949, 26678, 13129, 2271, 1389, 585, 12192, 589, 267, 12192, 918, 267, 1488, 11420, 545, 267, 16907, 517, 2676, 313, 4532, 568, 513, 3114, 3693, 609, 3090, 31626, 543, 10570, 1297, 476, 1789, 269, 898, 568, 519, 1101, 3693, 538, 1895, 5696, 817, 267, 606, 18585, 540, 7601, 543, 13058, 538, 1585, 17114, 267, 729, 1031, 607, 2038, 607, 519, 772, 2529, 269, 24959, 11752, 12333, 7433, 476, 279, 736, 281, 476, 2641, 1700, 1839, 563, 5591, 767, 27974, 26606, 2098, 4532, 15681, 584, 728, 20905, 585, 3733, 18201, 658, 3131, 325, 4288, 24919, 1765, 20007, 1670, 634, 6131, 13487, 9501, 17614, 12514, 609, 4396, 15581, 20017, 26606, 13058, 2995, 584, 728, 595, 313, 307, 634, 1543, 593, 713, 3135, 568, 5497, 585, 1072, 4648, 563, 288, 13354, 1353, 540, 13058, 267, 7601, 267, 20017, 26606, 267, 543, 1291, 2157, 538, 15417, 543, 1102, 1068, 850, 2367, 634, 1102, 1068, 850, 2367, 1185, 2362, 1611, 9830, 540, 11919, 7601, 982, 1346, 540, 634, 1543, 593, 713, 3135, 568, 5497, 585, 1072, 4648, 269, 0, 3412, 704, 658, 1143, 547, 32685, 328, 11837, 2534, 568, 513, 1390, 4199, 585, 10962, 519, 32685, 328, 5736, 607, 1053, 4786, 519, 22030, 602, 3262, 689, 21570, 543, 3564, 547, 1711, 519, 7526, 543, 14784, 3056, 547, 519, 1390, 2112, 269, 15875, 1143, 267, 16851, 543, 1158, 2112, 1775, 22030, 910, 607, 7074, 4505, 267, 1082, 1004, 630, 10175, 7003, 514, 543, 1082, 2261, 343, 1235, 264, 4718, 513, 1463, 4276, 1063, 1412, 574, 704, 658, 1143, 262, 543, 519, 2112, 1765, 6352, 514, 11130, 1312, 941, 1463, 2360, 540, 513, 1880, 267, 3803, 3942, 540, 16851, 269, 10812, 993, 7701, 5070, 15772, 781, 4604, 1770, 476, 274, 281, 22030, 1299, 32685, 328, 593, 533, 15517, 1923, 1294, 811, 2093, 827, 1158, 2112, 835, 267, 2112, 10344, 543, 1686, 269, 1215, 1705, 22030, 2014, 32685, 328, 910, 321, 761, 338, 941, 7255, 609, 2208, 540, 24141, 10125, 267, 941, 7255, 602, 789, 941, 1100, 3476, 519, 10700, 30566, 910, 11296, 15180, 1845, 536, 339, 1233, 31564, 267, 535, 8896, 543, 27437, 630, 4157, 3323, 1802, 2847, 855, 27437, 3323, 2921, 519, 1291, 269, 2060, 519, 20552, 540, 8474, 538, 519, 8087, 2829, 721, 22363, 538, 513, 1689, 538, 519, 2932, 540, 9297, 689, 513, 17033, 2504, 1759, 2486, 563, 13328, 2112, 476, 272, 22030, 5013, 21099, 8165, 1990, 21343, 781, 538, 476, 6942, 280, 1930, 270, 29148, 10624, 4367, 910, 32685, 272, 22030, 22030, 729, 835, 540, 519, 1292, 3123, 540, 1158, 2112, 269, 8866, 1451, 827, 519, 3123, 540, 1158, 2112, 1775, 1519, 24816, 267, 6214, 267, 22030, 267, 543, 519, 26923, 540, 2895, 706, 651, 7542, 27849, 875, 513, 2582, 1256, 3323, 513, 2531, 3626, 1198, 602, 3366, 547, 2112, 269, 15486, 540, 32685, 328, 513, 4853, 1143, 3366, 782, 24067, 2477, 20582, 22030, 585, 519, 1739, 4128, 281, 476, 272, 2804, 2744, 3842, 14226, 540, 2067, 2200, 563, 300, 3464, 15854, 1408, 338, 26905, 7819, 2090, 26905, 561, 10107, 15627, 1164, 1153, 22030, 543, 32685, 328, 538, 1362, 2200, 16154, 1576, 1158, 2112, 1775, 630, 327, 517, 832, 264, 1158, 2112, 1775, 269, 15875, 1143, 538, 1158, 2112, 476, 272, 22030, 729, 835, 540, 519, 2185, 7700, 2188, 547, 519, 2014, 540, 1158, 2112, 835, 267, 2059, 609, 5728, 24816, 267, 2113, 10560, 1143, 267, 543, 18541, 621, 568, 519, 1034, 1271, 2014, 540, 32685, 272, 267, 1317, 621, 2813, 513, 1628, 5346, 540, 8082, 538, 21570, 543, 3544, 540, 21570, 267, 543, 998, 22030, 267, 519, 1614, 824, 3123, 941, 2111, 547, 269, 15875, 1143, 729, 835, 540, 519, 2185, 7700, 2188, 547, 519, 2014, 540, 32685, 328, 267, 2059, 609, 5728, 24816, 267, 2113, 10560, 1143, 267, 543, 18541, 621, 568, 519, 1034, 1271, 2014, 540, 32685, 328, 267, 1317, 621, 2813, 513, 1628, 5346, 540, 8082, 782, 1472, 21570, 269, 2622, 2112, 835, 281, 22030, 1557, 560, 327, 893, 719, 1686, 267, 4986, 814, 1044, 811, 14042, 543, 607, 16160, 607, 2112, 6710, 267, 1928, 267, 4965, 267, 10072, 267, 27781, 543, 2669, 723, 1044, 930, 3119, 4539, 269, 1977, 22030, 281, 513, 2165, 602, 4016, 547, 519, 2804, 267, 4108, 267, 543, 2686, 3310, 540, 519, 8087, 2829, 593, 824, 2477, 7269, 543, 1379, 7819, 22030, 568, 513, 2165, 602, 4016, 547, 519, 2804, 267, 4108, 267, 543, 2686, 3310, 540, 519, 8087, 2829, 593, 824, 2477, 563, 3412, 704, 658, 1143, 267, 2113, 10560, 1143, 543, 24816, 538, 1158, 2112, 1775, 593, 31914, 599, 795, 2317, 476, 2764, 267, 476, 4489, 275, 538, 32646, 1690, 5271, 334, 267, 21246, 267, 513, 4759, 540, 519, 22681, 1895, 1572, 519, 3109, 1688, 267, 8929, 2895, 706, 651, 21473, 345, 7542, 27849, 269, 634, 1390, 32685, 328, 15784, 281, 945, 729, 547, 16620, 513, 8470, 4901, 593, 519, 1298, 27812, 910, 8653, 281, 476, 272, 281, 3393, 281, 5392, 2247, 320, 632, 7784, 345, 7921, 4099, 585, 24067, 2090, 476, 4029, 267, 25090, 5784, 269, 1977, 22030, 1185, 513, 2101, 1198, 593, 519, 1158, 538, 713, 3992, 267, 1265, 856, 875, 513, 4182, 2968, 513, 851, 540, 519, 721, 585, 3592, 476, 2004, 1296, 543, 875, 269, 15875, 1143, 22030, 22030, 3989, 676, 519, 8675, 540, 1480, 11585, 267, 568, 519, 5137, 543, 5826, 540, 606, 21376, 2804, 267, 2686, 267, 543, 16857, 2078, 267, 2356, 1063, 2829, 543, 1419, 538, 519, 1106, 540, 606, 10504, 267, 1759, 593, 28735, 543, 1016, 867, 1588, 563, 3412, 704, 658, 1143, 729, 513, 1804, 851, 540, 519, 2014, 540, 1158, 2112, 835, 267, 621, 3361, 8082, 1063, 6082, 543, 2813, 15180, 1845, 267, 971, 607, 519, 1101, 536, 1779, 534, 6433, 267, 13296, 535, 8896, 543, 24469, 1101, 2968, 7255, 609, 27437, 781, 2113, 10560, 1143, 269, 2136, 2829, 22030, 630, 2346, 272, 264, 795, 612, 3821, 535, 1484, 1282, 32685, 272, 519, 8087, 2829, 4553, 519, 3609, 540, 22030, 22030, 4386, 950, 513, 6793, 4182, 11498, 741, 4108, 267, 2804, 543, 5924, 2797, 1852, 936, 21260, 11182, 269, 1977, 22030, 568, 513, 3609, 519, 5021, 10923, 10137, 540, 7819, 1463, 2797, 543, 4108, 1852, 5949, 538, 519, 21987, 540, 1158, 2112, 13797, 27260, 3412, 704, 658, 1143, 538, 32685, 272, 1018, 568, 22030, 22030, 568, 513, 3609, 540, 14178, 1776, 2197, 781, 1379, 543, 3310, 998, 17091, 267, 946, 540, 4108, 3196, 269, 15875, 1143, 4299, 1158, 2112, 1775, 538, 1896, 2081, 267, 971, 607, 5935, 2797, 24816, 1063, 6082, 7722, 538, 519, 2112, 543, 676, 11651, 1154, 3007, 2476, 689, 6469, 2152, 543, 2509, 2804, 6454, 6913, 676, 6082, 11543, 1852, 540, 19052, 3338, 31564, 267, 519, 8087, 2829, 267, 678, 17892, 543, 563, 288, 5458, 2014, 540, 32685, 328, 729, 18541, 267, 2113, 10560, 1143, 267, 22030, 543, 519, 2797, 543, 2804, 31195, 609, 538, 519, 6082, 22030, 3361, 535, 8896, 543, 27437, 547, 269, 2290, 540, 519, 7887, 3123, 540, 1158, 2112, 835, 267, 729, 519, 4999, 540, 27437, 781, 14699, 267, 799, 729, 8547, 676, 922, 561, 755, 585, 22030, 267, 543, 519, 4890, 7526, 1063, 519, 10125, 27437, 781, 269, 7348, 552, 665, 1445, 1770, 476, 275, 22030, 543, 32685, 2089, 339, 343, 689, 536, 2675, 476, 1911, 276, 693, 536, 992, 731, 2852, 721, 1686, 22030, 1299, 1158, 2112, 1775, 1174, 519, 4657, 1909, 540, 519, 721, 538, 1158, 12602, 998, 519, 1439, 540, 269, 15875, 1143, 729, 835, 540, 519, 2185, 7700, 2188, 547, 519, 2014, 540, 1158, 2112, 835, 267, 2059, 609, 5728, 24816, 267, 2113, 10560, 1143, 267, 543, 18541, 621, 568, 519, 269, 0, 19177, 2157, 540, 7881, 538, 1857, 7245, 972, 568, 513, 15796, 540, 2157, 540, 7881, 267, 1142, 540, 799, 814, 922, 1378, 2073, 1305, 540, 9021, 476, 272, 264, 2123, 13919, 9789, 2596, 2631, 540, 1318, 543, 4636, 269, 5853, 539, 538, 476, 4572, 278, 676, 519, 23328, 267, 519, 1533, 3046, 540, 1608, 4727, 568, 606, 11889, 6186, 540, 519, 1608, 4727, 18678, 5480, 4027, 540, 519, 1857, 568, 519, 5207, 10862, 540, 519, 1533, 3046, 782, 17864, 8026, 538, 1608, 4727, 1590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2229, 1759, 538, 918, 663, 1695, 541, 269, 901, 6825, 519, 4098, 540, 513, 1007, 3184, 538, 13529, 1686, 267, 6353, 676, 513, 3395, 2631, 540, 3084, 3961, 543, 16857, 16285, 269, 3683, 942, 267, 15787, 1131, 2097, 547, 4196, 607, 513, 2565, 17280, 7997, 1063, 12721, 11440, 7060, 267, 1519, 519, 3703, 543, 6739, 23693, 780, 7628, 519, 3735, 13524, 2540, 267, 6628, 8179, 547, 4228, 922, 3310, 538, 519, 3148, 998, 513, 3126, 540, 7580, 24816, 543, 4108, 11044, 1634, 15217, 607, 519, 834, 15124, 10794, 1701, 6576, 267, 29285, 267, 6322, 547, 5150, 1569, 547, 3636, 1216, 16788, 3842, 519, 4095, 7909, 267, 4259, 519, 3942, 585, 513, 13029, 31195, 602, 1131, 6414, 2429, 1454, 540, 519, 14206, 2540, 269, 27933, 560, 713, 23786, 24187, 267, 15787, 7283, 7361, 14628, 267, 4509, 513, 10347, 3666, 1063, 5007, 12503, 1247, 5807, 513, 3982, 2686, 543, 2797, 3961, 693, 1753, 780, 1103, 476, 4489, 280, 267, 1739, 5756, 540, 9940, 3703, 1852, 267, 15787, 10294, 922, 7115, 267, 16287, 513, 1713, 24182, 538, 519, 4182, 781, 1391, 585, 1582, 24148, 269, 1717, 267, 713, 1974, 540, 3448, 6617, 729, 2110, 24331, 267, 607, 4835, 15523, 543, 20748, 13882, 4166, 5795, 1259, 547, 5208, 543, 16132, 269, 769, 476, 3192, 274, 267, 513, 19420, 546, 262, 564, 520, 3366, 676, 15011, 25428, 20707, 3716, 16679, 4547, 606, 1439, 547, 15787, 781, 13439, 1417, 11180, 4603, 267, 22338, 519, 1259, 585, 513, 19588, 540, 28974, 17710, 945, 17388, 547, 2226, 1931, 8015, 20387, 1514, 19727, 780, 763, 8168, 12289, 540, 476, 3192, 280, 2417, 28978, 891, 13253, 267, 32168, 532, 519, 2197, 883, 513, 1486, 26167, 4655, 602, 1131, 2063, 5176, 513, 8717, 269, 23556, 539, 676, 12019, 2782, 32370, 543, 9141, 676, 2706, 12741, 27606, 267, 713, 22266, 2112, 8507, 538, 10373, 1480, 7092, 543, 7839, 9552, 269, 6736, 3355, 12374, 267, 519, 8168, 4229, 6038, 8959, 547, 844, 749, 519, 1202, 4026, 1890, 267, 20872, 741, 15639, 538, 476, 2735, 280, 780, 16729, 519, 8168, 18956, 267, 15787, 26731, 883, 14784, 267, 12109, 22486, 676, 1102, 18017, 1851, 1585, 17740, 656, 2516, 5275, 547, 6445, 519, 1379, 12511, 2451, 3297, 269, 7324, 873, 941, 519, 13669, 28063, 267, 513, 2182, 1467, 5771, 626, 3350, 23032, 676, 9031, 267, 799, 9782, 547, 23146, 538, 519, 4571, 268, 1960, 271, 338, 269, 1635, 476, 1960, 277, 267, 789, 1185, 25868, 1852, 540, 918, 5429, 267, 25412, 513, 1951, 935, 1014, 7664, 540, 9099, 1876, 2390, 519, 2551, 543, 3771, 321, 1681, 3486, 9810, 1235, 971, 607, 14642, 4821, 10822, 700, 23565, 780, 4322, 7835, 1305, 519, 3942, 585, 519, 13249, 2621, 540, 5181, 476, 1556, 267, 476, 1220, 272, 267, 950, 20291, 22681, 6285, 13351, 9072, 538, 1715, 3840, 4975, 543, 6115, 267, 9823, 267, 11318, 5215, 540, 17608, 21127, 269, 769, 3210, 267, 519, 2136, 2276, 9250, 513, 29505, 4108, 5859, 1996, 519, 13669, 28063, 12512, 267, 24847, 522, 755, 532, 922, 3401, 543, 16459, 513, 1007, 2229, 8149, 547, 30176, 11180, 3741, 543, 28530, 17119, 1143, 780, 4913, 267, 5103, 2038, 24984, 267, 519, 3510, 538, 15787, 3788, 3348, 13895, 267, 12735, 4240, 676, 10770, 31837, 2102, 2886, 267, 19856, 656, 13313, 267, 543, 26740, 17061, 540, 5208, 269, 5047, 267, 6237, 7060, 899, 9031, 3136, 547, 29937, 9645, 3310, 1369, 15787, 781, 10665, 267, 635, 2364, 908, 3646, 547, 3715, 9434, 4708, 543, 6617, 780, 2026, 649, 2992, 593, 891, 3140, 7835, 267, 1896, 1883, 4245, 10836, 269, 3689, 543, 19466, 267, 519, 2013, 540, 15787, 19156, 519, 829, 2812, 540, 1390, 1379, 6735, 267, 3226, 950, 621, 2501, 693, 519, 13258, 540, 4130, 6082, 9575, 538, 519, 3444, 13933, 269, 5015, 267, 621, 8761, 519, 1419, 14042, 4539, 540, 4914, 6304, 267, 1256, 950, 17298, 609, 15626, 15752, 269, 7053, 267, 519, 6043, 540, 519, 13529, 1004, 5713, 607, 513, 15266, 547, 519, 967, 558, 3386, 6891, 540, 8103, 267, 22348, 721, 602, 4126, 543, 8990, 666, 7173, 841, 1256, 538, 519, 3068, 540, 9583, 31837, 25236, 762, 12918, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1607, 7127, 2356, 8711, 2101, 8978, 2621, 543, 1699, 2152, 543, 949, 1331, 513, 3948, 827, 835, 610, 1079, 1883, 2104, 3466, 563, 25105, 24703, 20961, 667, 7838, 305, 3198, 296, 19618, 519, 623, 1662, 339, 684, 11031, 543, 8547, 15787, 538, 476, 14690, 278, 269, 634, 2197, 6039, 607, 513, 17280, 1063, 519, 3703, 543, 6739, 5927, 2231, 2394, 621, 4465, 7115, 689, 711, 1308, 3703, 1852, 538, 476, 4489, 280, 269, 589, 5618, 4603, 538, 2799, 9111, 8694, 538, 513, 476, 3192, 274, 19420, 543, 513, 476, 3192, 279, 21340, 4831, 322, 19281, 269, 634, 8168, 5742, 22983, 538, 476, 3192, 280, 547, 1489, 519, 9103, 18146, 13529, 21340, 12512, 267, 15700, 1055, 513, 1279, 543, 16160, 2112, 269, 634, 28268, 24013, 4319, 538, 476, 2735, 280, 896, 29287, 2604, 676, 18368, 6462, 4550, 268, 10919, 626, 18665, 26400, 573, 514, 30280, 269, 589, 3126, 540, 7766, 3540, 10617, 4718, 918, 5429, 6368, 2887, 538, 476, 1960, 277, 547, 519, 13669, 28063, 267, 513, 2182, 1467, 9031, 328, 17898, 29107, 3350, 602, 7153, 538, 476, 1960, 275, 547, 1439, 519, 2197, 781, 3540, 2112, 543, 606, 8944, 269, 11374, 519, 476, 1556, 5181, 476, 1220, 272, 22681, 6285, 267, 513, 2475, 267, 20466, 267, 543, 4550, 6874, 531, 28063, 8832, 19137, 4108, 2962, 547, 653, 1194, 519, 570, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 17113, 630, 22139, 267, 6239, 267, 3162, 267, 4639, 28851, 264, 1315, 1977, 7169, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 519, 14297, 1558, 24227, 540, 570, 514, 1088, 16011, 267, 1141, 9909, 616, 18705, 883, 1591, 592, 1355, 4641, 267, 5030, 606, 26137, 6752, 14704, 3957, 700, 10154, 918, 9545, 6308, 269, 19612, 585, 1010, 1166, 3711, 1195, 656, 2511, 543, 11763, 1648, 267, 646, 1185, 8815, 547, 1491, 593, 513, 2189, 1788, 910, 8888, 24853, 585, 519, 3810, 17191, 9542, 540, 30554, 22828, 19811, 262, 29711, 1014, 3209, 267, 1412, 763, 12017, 518, 10632, 262, 780, 3080, 3141, 10275, 1170, 539, 6640, 267, 607, 700, 10154, 521, 5792, 6995, 1247, 31300, 532, 998, 25780, 540, 1761, 856, 22327, 267, 972, 729, 513, 9543, 22545, 593, 1010, 7450, 269, 898, 2220, 2426, 1930, 547, 7866, 513, 1762, 4807, 609, 535, 30711, 2699, 4552, 13615, 1394, 538, 513, 9395, 2909, 573, 267, 900, 14283, 3039, 4064, 4904, 609, 8990, 267, 543, 1289, 748, 539, 3946, 804, 583, 4221, 513, 6367, 269, 901, 729, 15576, 333, 1170, 17451, 1372, 523, 267, 519, 16502, 540, 1412, 763, 12017, 518, 10632, 3299, 945, 688, 6150, 689, 10588, 476, 1321, 780, 257, 16031, 269, 918, 9545, 6308, 2437, 1352, 30870, 11688, 527, 14688, 267, 2921, 538, 519, 3063, 341, 698, 656, 10450, 24224, 609, 7524, 17234, 267, 17207, 267, 543, 3524, 1231, 269, 8528, 299, 10154, 20493, 27145, 267, 4259, 11735, 1010, 7484, 269, 834, 8923, 267, 1289, 803, 700, 10154, 3010, 7021, 519, 1985, 1906, 2395, 267, 789, 32524, 5702, 267, 8939, 2326, 267, 17501, 23157, 267, 543, 7234, 2035, 269, 4438, 891, 7886, 267, 700, 10154, 791, 14975, 930, 3407, 1272, 4245, 547, 15576, 333, 1170, 827, 1582, 22325, 267, 10100, 267, 543, 6043, 269, 1452, 941, 1898, 7907, 2838, 711, 1175, 1369, 519, 22266, 26750, 540, 519, 12017, 518, 10632, 855, 849, 3564, 621, 267, 538, 519, 1483, 1158, 780, 4913, 267, 9624, 782, 713, 5876, 543, 16345, 267, 1978, 2818, 540, 519, 2504, 2319, 8057, 5051, 7255, 827, 875, 700, 10154, 781, 23349, 6272, 1522, 31083, 20760, 519, 8904, 540, 519, 4729, 1467, 269, 2991, 782, 267, 519, 7167, 20738, 781, 14226, 540, 1453, 729, 5921, 547, 581, 519, 3844, 6249, 267, 711, 1164, 6752, 2439, 8601, 21855, 267, 700, 10154, 7283, 32344, 267, 18468, 16119, 538, 519, 13710, 1379, 540, 7802, 269, 1656, 3020, 2614, 267, 950, 15576, 333, 1170, 22283, 5196, 519, 3942, 538, 1200, 11599, 3595, 10571, 267, 28287, 12628, 267, 12514, 4945, 539, 267, 543, 9458, 5001, 4371, 741, 7362, 269, 8786, 267, 519, 28459, 729, 10565, 267, 855, 865, 1932, 729, 519, 9661, 1373, 5143, 780, 21953, 267, 1169, 2962, 814, 922, 12343, 269, 2755, 700, 10154, 781, 13144, 3773, 3178, 547, 519, 3197, 543, 26675, 547, 519, 2239, 267, 789, 17275, 15784, 1851, 13915, 15819, 2436, 971, 26723, 550, 520, 1190, 30933, 5963, 6719, 519, 791, 1478, 1639, 13102, 269, 2368, 1256, 15034, 873, 540, 24735, 1944, 519, 10335, 540, 519, 3871, 5185, 676, 1346, 2713, 896, 519, 26568, 12512, 780, 32701, 267, 700, 10154, 11542, 6109, 3297, 1010, 960, 267, 22348, 3025, 602, 8874, 1419, 6039, 607, 19141, 10452, 6848, 2152, 267, 2943, 789, 1223, 849, 1599, 607, 15413, 1143, 267, 5356, 4126, 543, 6667, 1282, 4101, 2053, 269, 4107, 11932, 267, 646, 15091, 602, 1148, 3029, 899, 6752, 12582, 1405, 581, 16876, 610, 3989, 676, 6302, 282, 3079, 267, 789, 11129, 547, 7903, 7182, 267, 18427, 4664, 267, 543, 12954, 7391, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 8005, 4249, 28037, 3534, 538, 519, 476, 1001, 273, 4670, 2048, 763, 12017, 518, 10632, 685, 888, 1432, 568, 519, 2626, 888, 1103, 519, 476, 1001, 273, 7260, 834, 763, 12017, 518, 10632, 2437, 519, 1915, 28037, 3534, 568, 5129, 676, 606, 17076, 3957, 700, 10154, 918, 9545, 6308, 269, 1261, 568, 519, 1268, 945, 2337, 10571, 909, 519, 1292, 1915, 267, 15576, 333, 1170, 267, 585, 519, 2462, 6735, 14325, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 8080, 547, 938, 3184, 782, 827, 18297, 2533, 543, 519, 3078, 1158, 540, 8874, 543, 8613, 2982, 602, 789, 2709, 256, 1411, 1522, 723, 4862, 540, 2442, 5867, 899, 28923, 267, 1141, 1004, 666, 4585, 9413, 543, 3126, 1318, 689, 741, 1378, 5321, 269, 1809, 798, 596, 917, 875, 1419, 891, 2533, 9337, 741, 10070, 286, 2913, 781, 4685, 883, 519, 2479, 19145, 5251, 540, 7260, 543, 1397, 13847, 2439, 5331, 6972, 883, 513, 3381, 23934, 4558, 630, 8145, 1897, 1346, 24047, 543, 7487, 6216, 1007, 10643, 10268, 593, 519, 21684, 269, 2334, 10761, 540, 12423, 1945, 4195, 543, 4277, 547, 4585, 568, 1018, 6634, 540, 1004, 1995, 950, 18297, 2533, 899, 28923, 5177, 1039, 1007, 1543, 269, 1452, 2533, 7683, 960, 547, 3142, 721, 1007, 2984, 267, 32026, 267, 543, 9035, 689, 1472, 519, 8608, 780, 4131, 781, 2263, 930, 1483, 1806, 540, 2487, 23937, 547, 28923, 5177, 1384, 265, 834, 2304, 769, 935, 1597, 1304, 14938, 601, 281, 18266, 547, 5295, 257, 630, 1001, 278, 2567, 901, 2219, 4538, 4670, 2934, 5449, 21470, 5518, 1325, 717, 648, 607, 646, 5170, 1010, 5880, 1228, 547, 6318, 4656, 827, 2916, 1689, 269, 5994, 952, 596, 1223, 1711, 513, 3524, 601, 547, 707, 5172, 1650, 282, 1131, 596, 3136, 3695, 5432, 4798, 610, 6338, 6397, 23538, 286, 3807, 899, 5830, 1020, 13602, 267, 3197, 267, 543, 6835, 267, 3744, 543, 2825, 15628, 899, 6004, 269, 717, 648, 2671, 1271, 1344, 998, 8903, 6386, 780, 265, 834, 5825, 543, 23067, 257, 630, 1001, 278, 2567, 589, 1753, 12289, 4278, 14525, 6645, 513, 24457, 995, 9661, 540, 4655, 1063, 513, 14547, 1920, 543, 2576, 5275, 5126, 269, 1548, 2306, 513, 1434, 5636, 664, 610, 5869, 286, 2052, 1312, 2291, 1369, 835, 1915, 286, 1306, 6362, 2055, 899, 891, 2337, 721, 1174, 1114, 5380, 1247, 11981, 13858 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 18181, 3414, 3778, 910, 4197, 5020, 538, 519, 12815, 998, 5253, 6490, 1559, 692, 8893, 281, 834, 288, 570, 4292, 540, 519, 12815, 281, 10289, 5020, 538, 519, 24517, 1674, 6682, 1186, 540, 519, 3162, 3979, 2782, 5016, 7072, 912, 5331, 1373, 2111, 547, 2951, 1394, 538, 942, 543, 1995, 1272, 538, 513, 1114, 5736, 256, 2755, 649, 666, 1405, 2965, 979, 1394, 538, 942, 267, 649, 666, 1869, 1451, 827, 519, 2250, 676, 6313, 2984, 267, 11147, 267, 543, 1256, 10346, 689, 1279, 3516, 269, 901, 3992, 786, 1491, 721, 593, 513, 3460, 547, 2263, 1018, 1272, 729, 899, 585, 1453, 2713, 538, 519, 5834, 13122, 540, 519, 3162, 3979, 2782, 630, 10193, 1634, 607, 519, 5822, 4425, 518, 2782, 264, 1063, 476, 6245, 280, 543, 476, 5002, 273, 269, 1284, 786, 4983, 875, 1004, 693, 519, 942, 6956, 543, 4330, 891, 3786, 2833, 1210, 1312, 2854, 6054, 543, 11147, 269, 1924, 10544, 707, 24203, 976, 543, 1577, 781, 1205, 5986, 1247, 10707, 1394, 538, 1686, 2439, 4089, 476, 272, 281, 1548, 21518, 24517, 1674, 6682, 1186, 888, 3519, 1417, 1674, 13122, 941, 4025, 1141, 1804, 2516, 540, 1004, 941, 24428, 1927, 267, 2356, 896, 2352, 2175, 269, 4438, 519, 3162, 3979, 2782, 267, 3703, 4229, 1305, 909, 891, 13122, 547, 2777, 3885, 543, 21127, 19774, 676, 8165, 1063, 10656, 13896, 1572, 4425, 619, 543, 519, 3703, 7276, 269, 10251, 267, 1082, 1004, 11124, 689, 3676, 971, 607, 27193, 1355, 543, 7988, 550, 2044, 1813, 547, 4057, 19455, 543, 3668, 540, 1697, 1426, 7727, 269, 23897, 1343, 4503, 741, 2729, 1317, 540, 713, 269, 1635, 4974, 6589, 689, 1346, 945, 5030, 998, 891, 2053, 267, 12206, 948, 721, 1174, 519, 23434, 5185, 676, 891, 2043, 780, 12244, 476, 272, 281, 5994, 1411, 3657, 1703, 454, 5141, 846, 707, 4064, 543, 4952, 596, 616, 835, 540, 519, 1453, 538, 519, 5834, 3786, 269, 6056, 827, 1018, 2186, 540, 6980, 1522, 723, 1044, 5423, 2016, 3908, 2200, 543, 5820, 269, 3503, 1524, 1614, 2009, 8286, 1500, 689, 2241, 267, 1875, 704, 27720, 3688, 269, 1280, 1383, 267, 513, 12403, 1500, 689, 27574, 5388, 610, 513, 6366, 30103, 19323, 609, 1152, 7912, 543, 1216, 269, 9523, 707, 13144, 609, 15032, 2439, 4089, 476, 273, 281, 24722, 19475, 543, 22878, 454, 7628, 519, 2112, 267, 8387, 6854, 5638, 24223, 3232, 2621, 1369, 519, 13122, 269, 1452, 3769, 1344, 827, 678, 725, 267, 10108, 267, 7972, 267, 543, 824, 4143, 1239, 269, 3958, 267, 21706, 9676, 2592, 18995, 10207, 3330, 519, 13122, 269, 5637, 2959, 1683, 3407, 4030, 883, 1620, 519, 19178, 540, 1272, 972, 269, 1717, 267, 789, 849, 2097, 609, 1978, 7687, 267, 799, 3173, 991, 547, 2015, 950, 16208, 873, 780, 12244, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21607, 1154, 898, 883, 6657, 2433, 4635, 12339, 21442, 674, 847, 3293, 5853, 1049, 1143, 538, 3194, 532, 5753, 538, 519, 24517, 1674, 6682, 1186, 540, 519, 3162, 3979, 2782, 454, 2421, 700, 714, 26304, 543, 590, 826, 29216, 454, 17206, 540, 25470, 282, 2160, 540, 19903, 2120, 454, 306, 1539, 1670, 3194, 6732, 267, 11730, 476, 1556, 267, 17136, 476, 272, 2676, 3725, 18727, 281, 476, 2641, 4455, 476, 1220, 276, 20504, 539, 281, 476, 273, 4119, 476, 1220, 276, 15618, 281, 476, 4029, 3057, 476, 1220, 277, 454, 293, 655, 21442, 5762, 3293, 13654, 1143, 814, 1044, 2919, 936, 513, 3126, 540, 10319, 12591, 607, 513, 5916, 26381, 1108, 543, 12191, 267, 4352, 621, 814, 5631, 1044, 5941, 538, 26381, 1670, 2474, 269, 898, 729, 10512, 2213, 607, 513, 12191, 538, 513, 4745, 1382, 1788, 538, 3162, 4000, 7255, 609, 14236, 1079, 1271, 2081, 602, 519, 2833, 540, 1453, 538, 519, 3162, 3979, 2782, 476, 6245, 280, 268, 5002, 273, 267, 538, 1880, 538, 519, 5834, 13122, 3964, 1282, 922, 4971, 334, 543, 1412, 2675, 528, 3481, 3618, 262, 5123, 267, 941, 6719, 29629, 24345, 281, 538, 519, 4013, 5638, 267, 543, 538, 10344, 269, 634, 3877, 540, 519, 1382, 543, 1603, 1184, 3238, 616, 3177, 1472, 546, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 10749, 1299, 15881, 2510, 1315, 5253, 6490, 1559, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 5149, 7170, 281, 634, 6520, 540, 16709, 538, 19565, 27140, 281, 1133, 557, 4979, 519, 654, 1180, 619, 540, 938, 9891, 3590, 692, 7072, 912, 763, 1353, 540, 9018, 2230, 814, 2141, 26970, 1480, 9345, 269, 3245, 3504, 7242, 3098, 10503, 18477, 4703, 607, 10971, 543, 15831, 525, 547, 2413, 3621, 29293, 13031, 1007, 4030, 883, 938, 7122, 779, 13655, 267, 8103, 779, 22906, 609, 1018, 6013, 3564, 938, 4541, 2982, 1100, 4191, 540, 530, 22135, 269, 901, 1770, 12538, 2620, 883, 11174, 15923, 1568, 5059, 593, 519, 1686, 540, 3859, 1062, 3408, 543, 6602, 1282, 519, 6520, 540, 16709, 269, 1284, 786, 2263, 875, 891, 6386, 723, 7960, 936, 942, 267, 8272, 337, 1681, 6848, 7760, 267, 2686, 10593, 267, 543, 6639, 23484, 269, 1635, 6313, 1883, 5931, 1369, 713, 9135, 267, 1053, 786, 2744, 2565, 7924, 1983, 1247, 5807, 7279, 543, 7071, 585, 2257, 543, 17651, 780, 9556, 2544, 2290, 281, 12745, 783, 1944, 519, 6520, 540, 16709, 454, 6524, 11362, 883, 1808, 11174, 15923, 5931, 267, 621, 568, 2629, 547, 1174, 519, 3140, 2796, 540, 519, 6520, 540, 16709, 1107, 513, 1974, 6825, 676, 1713, 2518, 8906, 17364, 519, 476, 1428, 628, 998, 476, 1704, 628, 5553, 269, 4438, 713, 5736, 267, 3864, 7060, 24389, 593, 16529, 16831, 1137, 2066, 17946, 14975, 11182, 9141, 676, 2804, 27606, 267, 3909, 535, 969, 528, 267, 543, 3621, 26675, 269, 769, 1082, 2081, 267, 713, 1482, 6891, 540, 7045, 543, 19818, 585, 1702, 666, 581, 2938, 16079, 539, 538, 4207, 2230, 30295, 780, 12244, 281, 5620, 1053, 1382, 1114, 3344, 540, 519, 6520, 540, 16709, 971, 607, 7986, 5515, 267, 18144, 3297, 3408, 267, 5222, 593, 6805, 5095, 267, 3092, 1421, 1287, 1459, 741, 4681, 1210, 19180, 2645, 899, 2776, 17844, 610, 17948, 269, 11559, 5717, 1472, 19320, 1063, 3140, 29293, 543, 1699, 2230, 13485, 780, 9556, 2544, 5565, 281, 7216, 16610, 540, 6611, 543, 519, 15328, 21573, 454, 1103, 1931, 547, 9787, 519, 11144, 540, 2093, 3823, 938, 3859, 1062, 267, 649, 1590, 1101, 4983, 2038, 4978, 4371, 676, 1585, 12977, 269, 4841, 1058, 5659, 3119, 2959, 899, 5259, 14544, 1323, 1314, 698, 23768, 262, 3409, 602, 519, 3141, 729, 513, 535, 30711, 4224, 2864, 982, 513, 10143, 11769, 267, 610, 9099, 31485, 1325, 5174, 597, 27376, 781, 4977, 16759, 540, 3047, 781, 18592, 269, 24951, 891, 3504, 5380, 547, 811, 2487, 3283, 8711, 519, 4720, 540, 3621, 3206, 780, 17806, 5811, 281, 3367, 16965, 32461, 689, 834, 16100, 547, 519, 25578, 257, 676, 11370, 3960, 25548, 12541, 543, 654, 754, 344, 7385, 630, 299, 1410, 850, 1377, 281, 476, 27151, 299, 1070, 7234, 875, 519, 4589, 11753, 3140, 23278, 4925, 883, 741, 2239, 269, 9105, 1053, 547, 2697, 1455, 4798, 1851, 1114, 4529, 262, 5784, 540, 519, 26355, 780, 9556, 2544, 8422, 281, 667, 11921, 540, 7073, 18395, 543, 519, 10515, 1716, 4618, 7169, 454, 29727, 850, 334, 22191, 328, 543, 12832, 7637, 639, 10515, 1716, 16307, 4547, 12316, 2242, 547, 938, 1620, 540, 519, 3859, 1062, 269, 4256, 927, 328, 12510, 878, 2203, 17591, 539, 17888, 2520, 12510, 878, 6436, 267, 11093, 519, 6129, 693, 519, 4099, 3079, 540, 3047, 269, 6270, 17565, 10593, 20838, 519, 2956, 540, 15819, 3964, 2915, 5733, 543, 8508, 2963, 2861, 7744, 1107, 3741, 1869, 4909, 538, 2221, 781, 13241, 4610, 780, 17806, 5811, 281, 4635, 834, 763, 9855, 257, 676, 7917, 8738, 548, 662, 630, 299, 1410, 850, 1377, 281, 5084, 30663, 299, 1070, 1865, 519, 1764, 540, 31595, 781, 7599, 7422, 593, 4101, 2757, 4978, 269, 6651, 1053, 538, 9236, 713, 2239, 609, 519, 3105, 9074, 781, 2326, 267, 10771, 13289, 538, 3621, 1620, 780, 9556, 2544, 9050, 281, 634, 22370, 8084, 16527, 543, 15332, 454, 4415, 4824, 16263, 2029, 267, 3744, 1223, 7747, 18477, 4703, 609, 13778, 9355, 269, 29312, 3223, 16980, 15568, 4031, 540, 19236, 5163, 267, 1247, 16902, 2224, 28500, 623, 807, 3960, 328, 4362, 9919, 637, 267, 519, 1101, 20503, 269, 1452, 7835, 1305, 519, 3942, 585, 2417, 8906, 2429, 519, 476, 1240, 628, 543, 476, 866, 628, 5553, 267, 1519, 28800, 639, 267, 3026, 31337, 267, 543, 5555, 32624, 780, 17806, 5811, 281, 18918, 1053, 609, 834, 8450, 532, 25578, 281, 634, 9452, 540, 519, 23571, 257, 676, 30960, 4678, 3279, 630, 2969, 5308, 2542, 1377, 281, 476, 277, 269, 278, 1040, 30850, 267, 7520, 1895, 5717, 3695, 875, 6639, 10124, 5397, 3621, 8441, 780, 9556, 2544, 12866, 281, 12634, 6611, 16709, 543, 8892, 13571, 4536, 454, 5804, 962, 19441, 717, 698, 18288, 4742, 519, 1101, 1480, 538, 10739, 547, 5571, 9370, 30024, 13485, 267, 2230, 3408, 5170, 547, 11457, 6385, 269, 1306, 649, 1413, 4464, 547, 1761, 812, 2740, 13485, 547, 9370, 543, 3564, 267, 2502, 1762, 3988, 609, 2085, 29003, 2943, 11826, 15923, 5931, 2636, 873, 547, 7119, 8362, 538, 891, 3078, 18697, 780, 19061, 281, 17130, 1053, 609, 2870, 513, 15415, 15386, 2101, 19325, 538, 2230, 3408, 2094, 519, 21554, 540, 519, 6611, 6520, 269, 1358, 949, 6451, 3308, 2609, 267, 1102, 16623, 267, 610, 5409, 31904, 547, 4143, 2200, 269, 18224, 6192, 3785, 30326, 538, 519, 4928, 267, 8716, 9263, 6278, 543, 5188, 780, 6962, 912, 9961, 713, 1770, 267, 1053, 9691, 9916, 3309, 11174, 15923, 5931, 10704, 593, 519, 6520, 540, 16709, 543, 922, 6286, 585, 938, 1620, 540, 519, 3859, 1062, 269, 1635, 8220, 2250, 10781, 609, 4207, 3466, 267, 6267, 2919, 4514, 8223, 540, 1312, 3140, 2621, 543, 11972, 3621, 3741, 269, 5015, 267, 789, 4378, 539, 1898, 7924, 1983, 2556, 585, 10188, 1950, 21141, 5931, 269, 11086, 267, 14237, 7279, 543, 15131, 585, 1565, 16877, 1053, 547, 1831, 5483, 4961, 5827, 540, 1818, 6209, 7418, 2509, 2104, 3621, 18129, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8489, 1772, 3776, 9891, 3590, 888, 2421, 5153, 7315, 773, 17939, 565, 543, 23413, 30623, 1180, 3040, 3487, 540, 519, 7316, 1772, 286, 10022, 454, 17413, 15618, 476, 1001, 279, 454, 17504, 4032, 476, 279, 267, 5400, 275, 454, 268, 7956, 29203, 454, 268, 22858, 850, 5426, 281, 476, 278, 3199, 299, 454, 268, 11083, 5308, 7335, 5426, 281, 476, 276, 269, 274, 454, 268, 8121, 13658, 10606, 454, 268, 13658, 476, 4572, 278, 3066, 267, 476, 272, 8121, 18745, 454, 268, 3683, 7804, 633, 7913, 3883, 19672, 10812, 593, 10369, 2897, 454, 268, 13595, 10361, 902, 454, 268, 4934, 518, 2230, 454, 268, 18395, 734, 18693, 2762, 734, 17315, 8736, 3332, 454, 268, 9891, 1062, 734, 17315, 8736, 3332, 454, 268, 18395, 734, 14532, 734, 17315, 8736, 3332, 454, 268, 19565, 27140, 1923, 3163, 1299, 7186, 1923, 18395, 454, 268, 19565, 27140, 1923, 3163, 1299, 7186, 1923, 13028, 625, 454, 268, 5753, 781, 7734, 270, 5472, 12698, 454, 268, 19565, 27140, 1923, 3163, 1299, 7186, 1923, 3047, 7070, 910, 4937, 454, 268, 4934, 518, 2230, 734, 7336, 2610, 734, 17315, 8736, 3332, 454, 268, 9891, 1062, 454, 2252, 596, 1265, 513, 476, 274, 6113, 5428, 4199, 602, 3884, 1405, 3015, 547, 596, 267, 5225, 4757, 519, 2012, 543, 3095, 540, 519, 4199, 267, 607, 1134, 607, 1022, 3877, 827, 707, 2115, 267, 547, 6589, 287, 22826, 20486, 14492, 563, 3412, 1137, 21806, 540, 21101, 267, 3906, 267, 543, 3006, 741, 2473, 630, 845, 28861, 12108, 264, 20362, 1701, 780, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30351, 6053, 27571, 547, 3013, 630, 12626, 3013, 16532, 568, 513, 5313, 14081, 1547, 898, 5161, 540, 476, 2004, 2829, 2073, 513, 5313, 8664, 630, 1492, 3854, 2749, 540, 6115, 267, 9823, 16532, 2947, 2101, 2047, 9769, 17466, 11182, 2073, 543, 8370, 6532, 11182, 1547, 634, 476, 4366, 733, 27631, 2136, 2276, 630, 21865, 1572, 519, 13722, 476, 4366, 3738, 543, 14522, 616, 538, 3345, 3013, 543, 1927, 1106, 519, 25550, 2136, 2276, 2073, 1247, 519, 1533, 540, 16127, 543, 4130, 856, 2391, 2127, 9114, 538, 519, 7414, 543, 12144, 1530, 553, 6606, 269, 634, 2197, 814, 513, 1360, 1164, 10923, 543, 20296, 4763, 609, 513, 1804, 3099, 540, 3662, 543, 2030, 2249, 563, 763, 2136, 2276, 540, 3013, 568, 519, 3791, 4102, 2197, 538, 519, 1158, 538, 2474, 540, 1858, 540, 476, 280, 269, 10695, 2929, 4009, 12919, 630, 12898, 6576, 543, 4516, 3738, 543, 538, 2474, 540, 2551, 540, 827, 476, 28664, 269, 275, 2929, 1004, 630, 12898, 3624, 543, 594, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 7111, 1977, 1315, 7111, 1977, 6181, 1742, 543, 23205, 16161, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3408, 540, 4008, 3961, 256, 901, 568, 513, 2230, 1141, 649, 666, 1451, 827, 945, 649, 616, 543, 875, 649, 1616, 547, 2769, 6000, 269, 2913, 781, 1376, 676, 1620, 1018, 4008, 3961, 1797, 780, 5331, 596, 4312, 1044, 14376, 547, 513, 2462, 28076, 5428, 269, 1411, 1205, 547, 3442, 1022, 1915, 596, 899, 1107, 513, 15705, 267, 513, 4023, 12682, 1446, 27959, 267, 610, 1256, 707, 5172, 3662, 256, 3767, 1589, 827, 713, 910, 950, 7446, 707, 28076, 267, 798, 596, 1745, 1034, 6899, 16116, 1945, 602, 13292, 875, 596, 1294, 3054, 3330, 286, 2107, 6148, 596, 1131, 4782, 547, 5957, 1945, 1114, 982, 1018, 1004, 1522, 2503, 1759, 593, 875, 789, 13498, 596, 2496, 5978, 4008, 3961, 568, 2147, 547, 14045, 799, 28076, 7959, 1318, 585, 721, 693, 519, 5428, 269, 898, 781, 827, 875, 649, 1745, 593, 519, 3330, 543, 875, 649, 1616, 547, 2769, 6000, 547, 519, 1158, 269, 6884, 938, 4008, 3961, 13292, 519, 6788, 1866, 723, 585, 721, 1759, 593, 938, 1560, 267, 855, 3006, 621, 3085, 1405, 269, 1656, 1312, 2833, 616, 9985, 15502, 2439, 2467, 616, 1082, 1913, 1004, 946, 547, 4766, 741, 4008, 9163, 269, 2368, 1455, 3283, 616, 8004, 267, 4807, 267, 7911, 267, 812, 267, 543, 1875, 321, 2435, 269, 6348, 321, 2435, 568, 513, 2165, 1031, 676, 1004, 4171, 4008, 1281, 711, 3514, 883, 519, 6688, 540, 5256, 610, 4775, 269, 1358, 949, 2697, 607, 2348, 1100, 4008, 267, 2789, 25469, 267, 610, 513, 4999, 540, 5256, 543, 4775, 780, 4131, 781, 2911, 811, 827, 1373, 1875, 321, 2435, 269, 5994, 596, 2731, 2648, 9849, 9660, 602, 9192, 6163, 3335, 2808, 24940, 543, 21522, 269, 9320, 596, 2972, 9849, 6367, 2906, 609, 32293, 610, 18535, 27890, 609, 8141, 569, 25568, 269, 1403, 891, 7802, 5079, 948, 596, 2769, 945, 596, 5963, 616, 3330, 267, 1287, 596, 1223, 2161, 707, 4008, 3961, 568, 1875, 321, 2435, 269, 5457, 267, 972, 3884, 1405, 1175, 835, 1259, 547, 1413, 610, 957, 1875, 321, 2435, 282, 3025, 4991, 547, 6430, 1018, 2306, 873, 1745, 1034, 8076, 780, 3086, 1577, 781, 1865, 1946, 3695, 938, 4008, 3961, 568, 1271, 269, 3807, 899, 3843, 593, 24853, 693, 513, 5428, 267, 23115, 856, 938, 4008, 3961, 2636, 721, 547, 1265, 519, 1655, 3514, 585, 6000, 269, 1879, 649, 1174, 543, 3398, 938, 1378, 4008, 3961, 267, 649, 1628, 1582, 21873, 543, 1711, 6793, 4296, 609, 1866, 1317, 649, 1397, 909, 607, 938, 3020, 30441, 269, 1635, 18245, 543, 14120, 3309, 4008, 9163, 267, 649, 849, 3565, 547, 2679, 8537, 2950, 1141, 3025, 7959, 2938, 267, 4862, 267, 543, 12595, 780, 2026, 596, 3136, 1565, 827, 4008, 3961, 267, 3314, 602, 972, 568, 1100, 834, 2431, 257, 610, 834, 342, 3994, 257, 1259, 547, 1995, 621, 269, 2659, 4606, 616, 4570, 267, 543, 2921, 942, 547, 2263, 873, 786, 1291, 596, 547, 1732, 1174, 945, 596, 616, 543, 875, 596, 1616, 547, 2769, 3054, 269, 1924, 979, 6619, 267, 2119, 593, 1346, 14165, 673, 24853, 267, 543, 3605, 519, 2189, 543, 5863, 1268, 596, 941, 5921, 547, 581, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2108, 27094, 3217, 1055, 519, 13968, 602, 649, 4250, 649, 3112, 2661, 1510, 543, 917, 649, 3112, 2661, 1369, 3034, 587, 499, 6276, 25930, 7773, 454, 10454, 2186, 540, 1689, 649, 616, 1310, 568, 10408, 607, 1134, 607, 12250, 267, 568, 2123, 543, 15982, 267, 568, 7104, 607, 1134, 607, 2686, 269, 1284, 616, 1818, 2648, 24190, 609, 5126, 563, 2108, 2691, 649, 5391, 4733, 6000, 689, 519, 20772, 602, 649, 1590, 723, 782, 1919, 23125, 856, 267, 649, 4283, 513, 25113, 540, 6568, 3034, 587, 499, 590, 3415, 320, 11412, 2465, 13177, 454, 15371, 596, 513, 1007, 547, 3797, 610, 13059, 585, 513, 1007, 5133, 267, 594, 6415, 9599, 596, 2811, 1934, 563, 296, 7485, 689, 513, 3099, 540, 6436, 543, 2409, 547, 1489, 1142, 7817, 1759, 593, 741, 2115, 267, 1818, 946, 540, 5900, 16670, 7869, 267, 10610, 8644, 3130, 267, 26225, 10456, 267, 2609, 540, 12480, 624, 673, 19884, 10657, 630, 291, 6630, 1070, 21150, 617, 2939, 267, 32313, 958, 10312, 539, 10657, 267, 12339, 21442, 7869, 267, 15053, 22159, 267, 2609, 540, 18378, 7731, 7010, 267, 24238, 2861, 10657, 267, 7763, 643, 1049, 19877, 532, 267, 6348, 24825, 550, 9442, 267, 2609, 540, 590, 11703, 10657, 267, 543, 23247, 10657, 563, 296, 2709, 476, 2004, 18826, 7658, 515, 531, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29638, 14740, 16709, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 13834, 1299, 11557, 7081, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5629, 2390, 513, 942, 267, 538, 513, 6126, 8378, 1572, 24442, 6807, 267, 972, 5030, 1082, 3885, 540, 782, 5546, 543, 7306, 269, 7324, 873, 941, 519, 8055, 338, 267, 513, 8748, 1617, 3394, 518, 1049, 1920, 1500, 909, 540, 9835, 2742, 661, 1492, 331, 267, 589, 2863, 26795, 267, 1133, 2193, 7585, 267, 543, 1079, 2370, 3214, 3957, 15207, 543, 22123, 269, 634, 8055, 338, 6068, 7836, 942, 1927, 267, 4687, 2984, 267, 4730, 3756, 267, 543, 4543, 1142, 824, 856, 780, 3080, 13566, 1554, 267, 607, 789, 2893, 896, 519, 12094, 540, 741, 2462, 18073, 3529, 267, 9835, 2742, 661, 1492, 331, 3323, 6158, 827, 875, 1919, 1031, 547, 581, 950, 1352, 729, 1762, 269, 2701, 6045, 602, 1279, 3516, 267, 621, 7012, 1405, 16613, 585, 2789, 5481, 540, 513, 1920, 547, 2661, 1927, 538, 835, 1753, 780, 257, 3963, 1705, 3025, 2661, 1927, 1394, 1287, 8119, 4280, 8049, 2370, 15207, 780, 294, 8681, 2742, 20493, 27145, 267, 834, 11039, 267, 15207, 267, 1394, 1287, 267, 3006, 3237, 1131, 1831, 1932, 2025, 610, 7210, 547, 1491, 1416, 540, 2933, 5265, 269, 4256, 6738, 1575, 1453, 1522, 723, 5280, 1413, 1310, 873, 676, 18136, 873, 547, 3251, 538, 741, 1378, 8075, 3010, 306, 958, 16403, 539, 538, 267, 834, 12024, 649, 798, 1631, 256, 1411, 948, 631, 20207, 543, 667, 23098, 3434, 12129, 3006, 267, 1318, 6182, 15967, 12482, 288, 2863, 26795, 3773, 267, 834, 4517, 1810, 1405, 7340, 602, 9835, 2742, 849, 8843, 1200, 7326, 609, 596, 1312, 256, 2334, 781, 1776, 1259, 1352, 3217, 1416, 540, 596, 15323, 20755, 3240, 21330, 24617, 267, 834, 31800, 1695, 267, 855, 945, 3576, 1416, 540, 9835, 2742, 950, 590, 4047, 729, 2370, 12482, 4462, 2193, 7585, 2322, 1010, 6186, 1472, 9835, 2742, 267, 834, 6546, 781, 1141, 938, 1390, 3766, 805, 22594, 2097, 883, 1404, 269, 1358, 6659, 707, 1390, 20516, 267, 945, 8057, 909, 547, 581, 513, 2178, 4807, 1175, 899, 707, 1989, 15967, 1934, 269, 1656, 713, 4783, 5170, 998, 1169, 5108, 3010, 2414, 9414, 1200, 1448, 2417, 267, 9835, 2742, 4951, 519, 1453, 513, 5832, 8405, 331, 864, 609, 1114, 11954, 10007, 8204, 1142, 4759, 540, 741, 1920, 269, 3962, 6149, 20109, 922, 7023, 267, 29544, 2648, 267, 1489, 267, 543, 1416, 1063, 14077, 2429, 1686, 780, 9515, 4797, 267, 834, 1607, 4276, 3085, 1405, 1152, 4125, 3168, 1310, 1142, 824, 9308, 282, 3929, 4296, 2339, 1932, 269, 19457, 8823, 267, 17409, 267, 543, 1256, 17229, 18791, 938, 6125, 607, 513, 1920, 3010, 28012, 22123, 9289, 16965, 267, 834, 3719, 1946, 3884, 1405, 16764, 2713, 899, 713, 15042, 286, 4208, 5749, 1405, 811, 3885, 9363, 2673, 12482, 11321, 15925, 521, 19042, 28663, 1354, 16460, 267, 834, 307, 1307, 1689, 267, 15210, 269, 2368, 3885, 949, 711, 2661, 2282, 1142, 824, 1813, 547, 960, 13800, 267, 1153, 3255, 267, 610, 3274, 1317, 789, 4782, 2348, 741, 1378, 2230, 269, 1809, 1100, 2339, 519, 3845, 267, 3314, 602, 1373, 851, 540, 513, 1617, 3394, 518, 1049, 1920, 1797, 649, 2141, 4163, 835, 1776, 538, 938, 12271, 543, 8186, 3010, 4415, 16012, 7071, 585, 741, 2189, 1920, 6422, 267, 519, 16254, 6170, 519, 1964, 540, 519, 12784, 6998, 2055, 543, 6947, 32348, 547, 8941, 838, 684, 676, 741, 22242, 1107, 1726, 20011, 1169, 4090, 3838, 1851, 741, 4190, 267, 12391, 267, 29076, 1920, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 290, 15811, 18120, 749, 568, 513, 3194, 29533, 693, 519, 3427, 540, 1546, 10879, 5525, 269, 21965, 568, 4867, 2324, 593, 519, 2817, 4659, 585, 2657, 3194, 14102, 2048, 289, 21392, 2657, 538, 1763, 6342, 538, 5516, 23467, 630, 289, 17098, 305, 6224, 264, 685, 1788, 593, 5355, 1072, 1416, 585, 7264, 538, 1416, 5321, 563, 290, 15811, 18120, 749, 779, 1382, 4690, 616, 538, 1416, 267, 30333, 267, 1920, 267, 29076, 3347, 267, 12110, 543, 1416, 5321, 563, 290, 15811, 6645, 721, 827, 930, 540, 519, 1883, 4681, 689, 1200, 25719, 1382, 267, 2139, 538, 519, 3370, 1957, 267, 18120, 749, 267, 595, 269, 630, 1001, 279, 1040, 5516, 585, 4587, 1004, 538, 1617, 3394, 518, 1049, 3885, 281, 513, 1272, 1576, 2079, 2066, 2185, 5481, 269, 19198, 267, 17716, 543, 5081, 7724, 269, 278, 267, 272, 267, 6032, 269, 476, 9818, 268, 13199, 263, 866, 994, 22512, 585, 24771, 4658, 538, 5564, 3394, 518, 1049, 19198, 454, 2026, 519, 2551, 6502, 267, 606, 2810, 1297, 4587, 1004, 786, 991, 2298, 1416, 269, 594, 4941, 547, 1174, 875, 4587, 1004, 11231, 1416, 585, 2933, 269, 901, 5921, 1565, 827, 1018, 519, 1416, 12417, 6743, 899, 538, 1469, 267, 543, 875, 891, 1416, 12417, 554, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 7731, 1315, 5564, 3394, 518, 1049, 1315, 3955, 23400, 17716, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 5216, 12215, 829, 8792, 630, 553, 519, 2025, 20793, 300, 3199, 275, 729, 15951, 264, 519, 1101, 5299, 568, 3648, 5488, 2483, 268, 8525, 476, 1556, 267, 634, 2311, 926, 3763, 518, 781, 12754, 269, 5292, 269, 10001, 267, 17136, 476, 272, 269, 5437, 476, 1960, 271, 910, 5130, 476, 1960, 272, 267, 2311, 926, 781, 26257, 21558, 281, 763, 2311, 926, 20793, 300, 2568, 276, 1862, 4289, 3902, 1269, 15782, 276, 1862, 4926, 519, 570, 4488, 7844, 700, 289, 268, 9873, 276, 8955, 1820, 2599, 1862, 0, 2304, 7769, 281, 11894, 568, 519, 7226, 540, 519, 1482, 2831, 602, 666, 581, 1336, 538, 519, 3864, 2477, 267, 7132, 1082, 689, 5607, 543, 4000, 269, 1703, 616, 476, 2568, 267, 1822, 3662, 2249, 538, 519, 2898, 11782, 540, 2342, 269, 11894, 814, 476, 3199, 267, 1822, 269, 11894, 568, 1753, 547, 5017, 540, 1082, 5686, 267, 2523, 538, 519, 834, 289, 8674, 21537, 2478, 257, 519, 3084, 6288, 593, 8235, 3509, 553, 267, 29001, 590, 1794, 331, 383, 377, 32244, 383, 377, 2282, 918, 904, 29800, 267, 538, 594, 345, 18029, 3331, 485, 600, 5306, 383, 377, 570, 15120, 20393, 383, 377, 3092, 454, 10112, 657, 267, 519, 4583, 3450, 4099, 540, 25196, 267, 568, 13883, 827, 476, 3445, 918, 332, 269, 2476, 689, 2052, 752, 330, 1446, 693, 519, 5045, 851, 540, 519, 11662, 269, 2755, 21409, 689, 2052, 752, 330, 1446, 267, 596, 991, 547, 1246, 519, 4155, 547, 15718, 341, 659, 1731, 543, 1491, 519, 4155, 547, 2667, 657, 267, 799, 568, 476, 1704, 918, 332, 1279, 267, 7522, 855, 29271, 1259, 269, 2667, 657, 568, 4092, 593, 519, 7013, 570, 5802, 267, 7404, 547, 15729, 700, 624, 558, 630, 289, 629, 629, 1248, 340, 1070, 543, 6587, 540, 519, 6816, 540, 15776, 321, 657, 269, 2667, 657, 6013, 1369, 519, 519, 8498, 540, 2142, 327, 1090, 330, 1446, 267, 799, 568, 13883, 693, 519, 1283, 540, 519, 14629, 269, 634, 11141, 3504, 21219, 6580, 1394, 547, 519, 2038, 19730, 21943, 267, 519, 12627, 2312, 2881, 638, 18857, 4262, 267, 6456, 17822, 267, 519, 24788, 766, 540, 519, 32363, 613, 534, 22839, 267, 20605, 10877, 1115, 267, 8949, 3165, 543, 17681, 29278, 782, 3565, 547, 519, 16007, 540, 2667, 657, 267, 799, 22262, 519, 4884, 607, 513, 17681, 15805, 5544, 269, 4515, 269, 5395, 323, 541, 690, 1663, 267, 519, 4583, 9125, 6048, 540, 519, 3135, 267, 26564, 519, 4162, 540, 2667, 657, 607, 519, 2189, 10282, 540, 1686, 267, 29271, 5898, 267, 543, 6803, 2528, 269, 11153, 2242, 1185, 1624, 3293, 538, 2667, 657, 2094, 519, 1101, 11175, 538, 519, 2038, 19730, 2085, 827, 476, 274, 678, 323, 1984, 22431, 645, 5861, 269, 769, 519, 13067, 1067, 779, 2272, 267, 621, 729, 10645, 602, 519, 7013, 24528, 540, 570, 5802, 941, 4866, 547, 2274, 5586, 2103, 543, 789, 1500, 741, 2713, 607, 9378, 523, 543, 31503, 1282, 519, 1296, 540, 519, 18858, 13568, 10617, 269, 898, 729, 10645, 602, 519, 9510, 2012, 540, 519, 2749, 729, 16677, 553, 657, 543, 519, 2012, 2667, 657, 729, 6508, 689, 621, 269, 2201, 519, 824, 1688, 267, 2142, 327, 1090, 267, 519, 1459, 2012, 540, 519, 1858, 267, 568, 513, 8174, 566, 540, 631, 12112, 1090, 267, 20850, 4013, 945, 3357, 547, 2667, 657, 593, 10279, 269, 9603, 547, 922, 7580, 4087, 676, 519, 4262, 267, 1896, 12977, 941, 20948, 1472, 519, 3135, 971, 607, 10370, 323, 2103, 267, 6431, 2103, 267, 11829, 2103, 267, 623, 1120, 600, 976, 267, 5824, 2103, 267, 17286, 329, 4157, 2103, 543, 519, 12228, 30689, 269, 634, 1035, 24227, 540, 2667, 657, 267, 3710, 593, 513, 14629, 2531, 3215, 1312, 4262, 543, 2244, 568, 827, 476, 24487, 15432, 1657, 519, 4262, 7400, 543, 568, 11303, 676, 6821, 827, 476, 274, 918, 332, 269, 538, 7003, 724, 339, 269, 634, 14629, 3091, 20498, 5784, 540, 519, 32363, 613, 534, 4262, 543, 519, 7404, 5259, 6532, 540, 15776, 321, 657, 7868, 11454, 540, 23723, 320, 267, 519, 536, 537, 548, 614, 542, 9967, 540, 2493, 340, 22863, 267, 1507, 26832, 5656, 267, 543, 519, 15547, 19063, 1756, 267, 519, 14364, 267, 519, 588, 10394, 267, 519, 27394, 24227, 543, 519, 989, 7702, 666, 581, 7150, 607, 519, 20923, 1806, 540, 519, 21219, 269, 9737, 476, 29575, 910, 4343, 278, 645, 5861, 269, 2073, 14163, 582, 1446, 267, 18573, 779, 1034, 4583, 2875, 267, 729, 849, 14376, 547, 2667, 657, 676, 19555, 324, 5362, 267, 2875, 543, 3659, 540, 14163, 582, 1446, 267, 543, 6170, 936, 1614, 1296, 2713, 543, 3450, 972, 269, 1261, 5342, 1010, 2038, 1011, 582, 776, 960, 538, 18186, 1108, 267, 7350, 543, 7762, 3415, 267, 543, 5795, 15872, 693, 519, 15547, 19063, 1756, 269, 13966, 609, 824, 15107, 517, 1235, 2473, 523, 758, 6233, 849, 5030, 538, 19555, 324, 5362, 262, 19289, 585, 513, 1247, 269, 4438, 519, 20850, 1974, 267, 2667, 657, 729, 835, 540, 519, 1101, 4872, 538, 5375, 26277, 16288, 267, 945, 3398, 8567, 269, 901, 1223, 581, 2808, 607, 519, 1267, 540, 853, 269, 6754, 781, 543, 853, 269, 12359, 553, 262, 3643, 547, 519, 2749, 269, 1879, 853, 269, 6754, 3357, 547, 2667, 657, 689, 28641, 18858, 553, 593, 3723, 543, 1558, 853, 269, 12359, 553, 972, 267, 1287, 789, 30774, 547, 15776, 321, 657, 563, 297, 262, 2967, 679, 21129, 964, 562, 537, 767, 956, 964, 7218, 269, 570, 719, 524, 262, 652, 959, 11726, 338, 959, 11726, 338, 536, 1329, 1780, 2946, 561, 832, 632, 3288, 5186, 27599, 27056, 563, 9558, 325, 1068, 338, 1612, 325, 7159, 910, 2463, 964, 931, 793, 525, 563, 8867, 1698, 527, 12578, 682, 584, 513, 647, 1375, 2946, 17243, 632, 1680, 518, 546, 262, 527, 514, 2946, 571, 790, 282, 8350, 7218, 23835, 1680, 2946, 1696, 476, 2812, 476, 18863, 2946, 959, 11726, 338, 454, 338, 15384, 325, 7159, 632, 3288, 19583, 269, 594, 3149, 562, 262, 2632, 4996, 694, 14906, 516, 20221, 17833, 2096, 333, 657, 1286, 3288, 5789, 20527, 3279, 527, 21050, 585, 974, 1696, 682, 454, 5115, 527, 12578, 562, 262, 320, 32488, 642, 537, 1663, 840, 526, 516, 632, 1567, 4302, 563, 289, 517, 928, 16138, 761, 675, 910, 13755, 29037, 513, 11355, 8350, 1509, 321, 637, 546, 262, 2946, 638, 760, 720, 563, 297, 324, 751, 556, 1067, 322, 773, 13248, 524, 8291, 5698, 959, 11726, 338, 535, 1192, 826, 2224, 563, 291, 753, 561, 262, 3430, 25366, 632, 751, 561, 790, 2676, 289, 1329, 20221, 547, 328, 2676, 303, 21788, 700, 2464, 966, 302, 312, 8980, 2464, 717, 2894, 2207, 3201, 307, 21788, 454, 20278, 7638, 974, 476, 866, 454, 307, 2946, 331, 2433, 476, 876, 476, 3953, 476, 9262, 476, 3451, 476, 4029, 476, 5325, 1315, 454, 293, 1314, 2433, 476, 876, 476, 3953, 476, 9262, 476, 4097, 476, 1321, 476, 7367, 0, 309, 528, 20160, 3988, 267, 6121, 332, 12579, 267, 12824, 693, 519, 2160, 540, 1401, 2678, 6481, 3427, 543, 18301, 5441, 5507, 1835, 684, 3481, 2228, 1239, 3177, 676, 811, 982, 476, 1704, 267, 1822, 1004, 4587, 982, 476, 2004, 543, 1336, 513, 9756, 1063, 3257, 2262, 13410, 543, 4824, 5042, 2773, 269, 1358, 5462, 602, 1004, 945, 798, 30573, 13410, 267, 585, 1383, 267, 723, 12058, 602, 1599, 607, 952, 789, 616, 476, 1015, 1296, 7820, 982, 741, 6211, 2085, 267, 3226, 950, 621, 2501, 547, 7744, 3432, 543, 2110, 3856, 3965, 6111, 269, 6919, 19431, 338, 267, 543, 31851, 18544, 949, 723, 606, 5413, 950, 621, 2501, 547, 9363, 15508, 1762, 267, 693, 2547, 952, 789, 798, 1945, 609, 741, 5578, 1169, 1554, 563, 763, 1353, 568, 936, 1506, 6244, 267, 2705, 267, 950, 621, 2501, 547, 2014, 543, 1198, 269, 2334, 779, 2687, 547, 8361, 10067, 333, 322, 651, 267, 16628, 540, 623, 21627, 3163, 267, 519, 17354, 540, 11020, 295, 304, 267, 513, 2634, 13652, 1456, 1982, 1759, 593, 519, 2257, 540, 5778, 27415, 640, 563, 2108, 314, 2005, 316, 1281, 711, 2995, 721, 952, 1004, 945, 798, 3444, 6919, 723, 1447, 5042, 7771, 1317, 540, 602, 610, 952, 1004, 945, 723, 1447, 5042, 7771, 616, 811, 2693, 547, 2972, 3257, 3444, 6919, 2223, 646, 3081, 267, 15738, 547, 513, 1114, 1353, 630, 14457, 264, 5342, 676, 3173, 693, 2160, 540, 9098, 269, 590, 15659, 5171, 676, 2085, 267, 519, 9098, 3173, 1336, 602, 693, 1169, 2085, 267, 1004, 945, 1705, 30573, 13410, 1185, 1732, 5042, 1599, 269, 1717, 267, 789, 1336, 1100, 2963, 547, 2303, 602, 3257, 811, 30573, 13410, 4389, 2085, 5829, 11081, 538, 17133, 563, 2414, 2731, 4990, 713, 856, 543, 2626, 519, 2014, 543, 1198, 678, 1497, 267, 3744, 798, 1018, 616, 1572, 968, 2889, 338, 8826, 19747, 6417, 8062, 1848, 769, 971, 513, 1353, 267, 5171, 1131, 581, 14477, 8655, 547, 2901, 513, 30573, 610, 513, 1875, 2275, 1484, 5320, 1895, 543, 27424, 936, 942, 547, 3313, 952, 3444, 6919, 948, 609, 17133, 563, 300, 23167, 322, 651, 3081, 835, 971, 1353, 814, 1044, 2944, 269, 12824, 693, 519, 2160, 540, 19578, 10443, 513, 476, 6924, 272, 16512, 1353, 630, 1492, 594, 295, 4456, 306, 5530, 264, 538, 799, 3444, 6919, 941, 1031, 607, 519, 6476, 2534, 1996, 519, 2780, 1242, 267, 29010, 2861, 2634, 5751, 2139, 538, 11020, 295, 304, 16634, 0, 1103, 519, 1455, 1876, 3656, 1062, 267, 606, 967, 1112, 618, 568, 513, 6101, 5279, 540, 2348, 8149, 513, 3978, 7803, 25213, 269, 769, 1346, 22875, 799, 11677, 519, 1523, 540, 513, 21688, 3415, 267, 519, 3978, 6760, 1055, 775, 1131, 581, 513, 21688, 3415, 282, 1346, 22875, 799, 723, 27618, 519, 1523, 540, 513, 21688, 3415, 1419, 12990, 3079, 519, 1523, 540, 606, 967, 1112, 762, 1055, 775, 267, 1775, 4318, 269, 606, 1055, 775, 799, 3340, 606, 967, 1112, 618, 269, 27603, 606, 967, 1112, 618, 729, 19942, 1524, 676, 513, 6264, 21139, 267, 855, 1034, 1455, 1876, 22875, 630, 5976, 519, 9868, 540, 1346, 538, 519, 2136, 2276, 264, 723, 27618, 6264, 795, 3753, 563, 1103, 5245, 267, 606, 967, 1112, 618, 568, 9783, 676, 2229, 4013, 630, 1492, 30374, 29731, 267, 519, 10615, 540, 5398, 1160, 5913, 1903, 267, 610, 835, 540, 741, 1016, 24002, 1040, 589, 4012, 626, 3433, 1287, 6585, 513, 3479, 2145, 6217, 267, 799, 16976, 2436, 519, 2963, 568, 3978, 2614, 547, 3479, 519, 1268, 547, 4693, 563, 1103, 2665, 1141, 972, 568, 513, 4693, 267, 967, 1112, 762, 1055, 1878, 616, 7363, 6836, 676, 21139, 267, 8259, 519, 15034, 3649, 1161, 519, 1318, 547, 513, 21139, 4693, 269, 1717, 267, 519, 5318, 5354, 540, 2665, 538, 519, 2136, 2276, 616, 12306, 3842, 513, 5418, 320, 20476, 664, 269, 769, 1455, 1876, 1949, 267, 519, 15034, 568, 711, 7363, 13886, 547, 513, 21139, 4693, 952, 519, 1055, 775, 609, 799, 789, 723, 1044, 9901, 1281, 711, 2154, 606, 967, 1112, 618, 282, 519, 1292, 9868, 1934, 568, 602, 22875, 538, 519, 2136, 2276, 9886, 519, 1318, 547, 513, 21139, 4693, 585, 1034, 7803, 1055, 1878, 563, 18704, 707, 4555, 267, 2055, 543, 16555, 1934, 454, 23763, 547, 917, 811, 286, 9612, 22605, 267, 7194, 543, 15473, 912, 18208, 1234, 548, 1162, 11406, 763, 9504, 2376, 3769, 593, 713, 2985, 568, 13931, 896, 519, 454, 3412, 1137, 949, 581, 1641, 547, 4143, 5411, 262, 10677, 563, 5472, 824, 2609, 616, 630, 322, 264, 10677, 13780, 22913, 2593, 476, 1220, 274, 268, 276, 269, 2353, 7126, 27616, 563, 5825, 720, 10522, 6876, 609, 2474, 267, 476, 9083, 273, 267, 544, 0, 347, 17413, 540, 2709, 1475, 1001, 280, 2008, 347, 20428, 1377, 1475, 15152, 12392, 5426, 476, 272, 2008, 26180, 4315, 1475, 20428, 31246, 4811, 299, 267, 5426, 267, 2598, 23002, 1299, 17227, 11261, 2008, 1607, 1641, 13976, 593, 519, 2875, 779, 6602, 540, 519, 22524, 11163, 540, 5639, 543, 1560, 538, 12054, 6856, 476, 272, 269, 634, 1770, 5170, 5466, 7329, 3930, 2106, 29386, 6208, 538, 1931, 547, 2417, 1020, 513, 6198, 267, 3608, 543, 8465, 1560, 543, 5639, 269, 901, 1641, 786, 1331, 513, 5542, 689, 519, 1739, 281, 2168, 4656, 540, 7362, 538, 519, 1560, 267, 16757, 640, 267, 16982, 267, 3742, 6947, 543, 737, 2088, 20469, 4656, 269, 898, 786, 946, 267, 2168, 27906, 5314, 267, 6422, 11052, 267, 9633, 960, 267, 804, 578, 940, 543, 11733, 673, 1404, 547, 19334, 10444, 8226, 269, 901, 1770, 568, 1071, 1673, 601, 9121, 547, 645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1103, 519, 1439, 267, 1498, 519, 3355, 3804, 7012, 1405, 1558, 1813, 547, 27644, 6381, 267, 519, 2828, 4362, 1945, 1256, 3152, 281, 9322, 543, 6043, 1851, 873, 269, 3414, 14488, 267, 789, 4718, 20250, 519, 1379, 540, 5698, 543, 11587, 1107, 4245, 2484, 811, 3407, 982, 1022, 2179, 540, 6394, 4154, 269, 1656, 865, 267, 6263, 1035, 27163, 8057, 883, 2178, 18073, 4054, 267, 22348, 3025, 602, 2208, 1419, 5956, 1310, 513, 7088, 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, 290, 1538, 528, 1125, 713, 2376, 2687, 547, 519, 1888, 563, 763, 1739, 2376, 568, 827, 519, 946, 540, 7715, 4206, 27448, 585, 1507, 4213, 563, 293, 12099, 543, 6355, 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, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 4197, 519, 774, 8812, 13012, 262, 2782, 692, 7072, 912, 5970, 596, 2479, 4862, 827, 513, 942, 950, 1004, 10692, 1317, 789, 1185, 1114, 4978, 286, 2107, 950, 2477, 4682, 547, 2112, 1317, 789, 4941, 811, 1379, 286, 2334, 781, 1018, 5949, 1282, 519, 774, 8812, 13012, 262, 2782, 256, 901, 2112, 16768, 513, 1279, 942, 910, 13977, 1296, 267, 1175, 899, 922, 2012, 5267, 256, 898, 3576, 1747, 6140, 538, 6239, 2342, 267, 799, 2882, 2413, 6377, 5125, 267, 15212, 267, 543, 16231, 6243, 269, 2913, 781, 4685, 883, 713, 4241, 851, 540, 1686, 1927, 2439, 4089, 476, 272, 281, 15486, 540, 519, 774, 8812, 13012, 262, 2782, 692, 10144, 1394, 1287, 4769, 1405, 2141, 1205, 2059, 267, 2523, 952, 789, 4553, 1114, 10764, 269, 4438, 519, 774, 8812, 13012, 262, 2782, 267, 972, 941, 1079, 1292, 3909, 2516, 8165, 1142, 824, 281, 23597, 543, 14308, 1218, 269, 3509, 17710, 8359, 741, 1378, 4984, 267, 855, 3006, 741, 5396, 5156, 8335, 269, 5994, 707, 4116, 1373, 7826, 543, 1818, 3025, 979, 547, 7826, 5939, 593, 9530, 904, 1256, 1498, 596, 616, 513, 17557, 1107, 602, 9327, 1406, 1745, 4023, 267, 1131, 621, 286, 4270, 267, 1945, 2147, 17275, 519, 4098, 540, 713, 2462, 4655, 1572, 519, 774, 8812, 13012, 262, 2782, 780, 5194, 2601, 585, 713, 2112, 729, 519, 6560, 1063, 5333, 630, 6518, 7012, 1406, 2943, 513, 8087, 2197, 264, 543, 519, 670, 11274, 7921, 338, 630, 15367, 12199, 1082, 3338, 1472, 2342, 1040, 5637, 5011, 4941, 811, 8513, 543, 3310, 267, 865, 789, 4956, 547, 4339, 1996, 1142, 824, 269, 1358, 1031, 519, 3909, 3604, 1851, 1004, 607, 606, 28195, 547, 1376, 513, 2112, 780, 4089, 476, 273, 281, 5565, 590, 1938, 540, 519, 18366, 692, 7628, 519, 2038, 5933, 540, 519, 774, 8812, 13012, 262, 2782, 267, 649, 666, 1589, 540, 519, 1079, 2101, 5011, 607, 5205, 1384, 265, 14640, 268, 3412, 704, 658, 19137, 281, 18831, 899, 13785, 267, 16862, 267, 543, 5333, 267, 945, 10353, 519, 10513, 4936, 14890, 630, 1492, 6205, 540, 782, 4436, 11182, 1070, 1500, 909, 713, 1895, 269, 4107, 569, 9967, 540, 17557, 6082, 267, 891, 2477, 8179, 3152, 5191, 547, 2259, 741, 5132, 563, 265, 15875, 19137, 281, 27439, 676, 519, 10513, 4936, 14890, 5128, 267, 713, 2427, 3769, 3532, 7826, 2829, 971, 607, 8050, 543, 28554, 7559, 269, 4256, 3804, 729, 547, 2226, 9322, 1369, 519, 7276, 896, 7826, 4341, 780, 4913, 267, 1919, 3893, 7294, 3533, 267, 609, 1585, 21308, 543, 1483, 793, 906, 2429, 519, 2112, 269, 700, 5819, 2906, 17146, 4749, 1759, 593, 2797, 13418, 267, 4611, 538, 3875, 13346, 24816, 780, 4089, 476, 274, 281, 589, 20121, 10614, 2782, 692, 3086, 4952, 2713, 693, 513, 942, 950, 2112, 3357, 5679, 12177, 593, 707, 7450, 21163, 1169, 1906, 1296, 269, 4658, 11124, 7494, 1813, 547, 3586, 12959, 267, 1340, 1149, 267, 543, 3676, 269, 22307, 4536, 1419, 561, 2393, 539, 14252, 267, 27560, 1426, 543, 2200, 2556, 585, 6668, 269, 1306, 513, 12343, 267, 7031, 8959, 267, 3056, 547, 7839, 14000, 269, 1677, 1118, 6927, 8338, 267, 10108, 3262, 6385, 998, 20679, 267, 11318, 2484, 811, 1004, 982, 4890, 8396, 1705, 780, 3528, 519, 1439, 540, 519, 774, 8812, 13012, 262, 2782, 267, 12206, 7447, 602, 12341, 1063, 476, 275, 269, 276, 547, 476, 279, 2929, 2729, 941, 4503, 269, 2368, 2694, 540, 2413, 5125, 4718, 5095, 7771, 676, 3368, 610, 811, 256, 19198, 941, 14324, 6306, 282, 5321, 10032, 267, 6028, 3297, 26711, 2066, 3003, 2950, 780, 6962, 1384, 4407, 7234, 971, 513, 13249, 2680, 949, 3100, 18447, 267, 1620, 3140, 2621, 2337, 721, 5660, 875, 1454, 3356, 8103, 814, 1500, 2094, 1287, 269, 3414, 4974, 938, 2250, 267, 649, 1451, 3407, 4245, 827, 10892, 267, 9316, 267, 543, 6568, 269, 1924, 1985, 942, 2576, 6645, 596, 827, 1776, 1268, 8026, 513, 1114, 4984, 610, 4947, 689, 513, 11397, 2244, 267, 3314, 519, 774, 8812, 13012, 262, 2782, 543, 3442, 11587, 3079, 540, 4655, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 1320, 8812, 13012, 262, 2782, 2008, 347, 8512, 540, 519, 3864, 10617, 540, 4984, 543, 3943, 1700, 295, 11274, 7921, 31195, 2008, 29381, 547, 1318, 912, 347, 12901, 328, 268, 3412, 704, 658, 19710, 1991, 547, 476, 14321, 276, 314, 320, 316, 1475, 3412, 704, 658, 19710, 1991, 547, 476, 14321, 276, 314, 321, 316, 2008, 347, 8070, 268, 14321, 276, 13458, 540, 26285, 826, 1475, 8070, 268, 14321, 276, 13458, 540, 26285, 826, 2008, 347, 8333, 32752, 543, 3401, 2008, 347, 16655, 3065, 4890, 314, 322, 6012, 323, 316, 1475, 16655, 3065, 4890, 2008, 18871, 553, 783, 2906, 543, 9271, 2008, 23382, 520, 7972, 281, 314, 328, 316, 11406, 8099, 267, 1822, 538, 16528, 3028, 454, 3199, 267, 1822, 538, 3943, 3028, 14728, 2639, 1789, 267, 1822, 538, 20636, 3028, 454, 6344, 267, 1822, 538, 15875, 3028, 454, 1789, 267, 1822, 538, 28554, 4115, 3028, 454, 300, 26090, 7972, 689, 2068, 281, 476, 10384, 267, 1822, 1700, 272, 267, 12573, 267, 1822, 25208, 316, 11406, 13707, 19742, 4666, 281, 476, 274, 267, 4335, 267, 1822, 1700, 277, 267, 4335, 267, 1822, 454, 13707, 4666, 281, 476, 275, 267, 4335, 267, 1822, 1700, 279, 267, 1822, 267, 1822, 454, 763, 774, 8812, 13012, 262, 2782, 314, 331, 316, 729, 835, 540, 519, 13074, 543, 1034, 16160, 7526, 538, 3864, 1686, 267, 9434, 689, 476, 14065, 279, 547, 476, 13932, 279, 269, 674, 4454, 5097, 538, 6239, 2342, 267, 606, 6059, 476, 275, 269, 276, 547, 476, 279, 2929, 7980, 543, 21127, 5747, 607, 513, 1267, 540, 6370, 267, 26380, 267, 543, 2068, 267, 1247, 930, 2127, 540, 2413, 5125, 4810, 2551, 23229, 540, 936, 476, 2004, 10065, 13565, 7526, 1331, 519, 20640, 344, 13012, 262, 2782, 267, 512, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 476, 273, 269, 273, 10241, 547, 8838, 2711, 6513, 692, 1103, 713, 3296, 267, 649, 786, 2263, 835, 540, 519, 1034, 3078, 543, 26374, 3156, 540, 16803, 11219, 659, 11893, 4834, 281, 6099, 1852, 3069, 269, 901, 3532, 6310, 1907, 814, 1044, 1031, 547, 4194, 930, 540, 519, 27162, 4554, 2042, 538, 4702, 267, 9297, 267, 6323, 267, 543, 1082, 824, 4610, 269, 1284, 786, 1376, 676, 10962, 519, 2596, 2035, 540, 6099, 1852, 543, 1287, 5490, 883, 875, 16803, 11219, 659, 11893, 4834, 666, 948, 721, 1265, 519, 6099, 3435, 269, 1635, 519, 1439, 540, 713, 3296, 267, 596, 786, 1174, 875, 891, 17715, 4834, 666, 948, 721, 1374, 1732, 6517, 267, 2087, 2883, 9541, 267, 543, 1256, 4688, 2729, 2439, 273, 269, 273, 269, 272, 1548, 568, 8838, 2711, 6513, 2496, 5331, 596, 616, 8888, 513, 1582, 28391, 1286, 269, 2659, 1292, 6662, 568, 547, 1205, 689, 1448, 589, 547, 1448, 645, 607, 3533, 543, 9108, 607, 2009, 269, 1717, 267, 972, 616, 1896, 2188, 547, 2015, 950, 2679, 971, 513, 1062, 1384, 265, 1215, 1058, 519, 1286, 17108, 543, 20347, 547, 7413, 2951, 942, 1510, 18731, 3106, 888, 265, 9701, 519, 1286, 1491, 8325, 7140, 610, 3476, 267, 23704, 10092, 888, 265, 1215, 1058, 519, 1286, 2746, 547, 6397, 9465, 2059, 519, 1259, 2496, 4322, 2055, 782, 2887, 896, 519, 22597, 540, 6099, 1852, 9789, 1353, 540, 4466, 519, 1655, 2081, 547, 13861, 1949, 547, 3035, 5551, 3853, 269, 769, 938, 1582, 28391, 1286, 1383, 267, 519, 834, 17882, 257, 5161, 540, 519, 6174, 3294, 543, 922, 1604, 267, 1247, 519, 834, 31553, 257, 4016, 547, 519, 3527, 3144, 547, 3391, 519, 1286, 630, 324, 3052, 1421, 10231, 267, 29584, 267, 23376, 6393, 2414, 28879, 25666, 606, 6099, 1852, 1966, 267, 649, 991, 1079, 1919, 281, 513, 1942, 1599, 543, 6422, 10148, 269, 634, 1942, 1599, 6257, 1018, 649, 1616, 547, 11126, 267, 2356, 6829, 607, 513, 10230, 1871, 2404, 609, 1142, 15164, 3070, 269, 1280, 3236, 267, 538, 938, 1582, 28391, 1286, 9183, 267, 519, 1942, 1599, 1223, 2099, 519, 2698, 2951, 942, 610, 513, 4999, 540, 1312, 2951, 942, 543, 3106, 3800, 269, 2201, 519, 824, 1688, 267, 6422, 10148, 4766, 875, 519, 1062, 27372, 936, 942, 1759, 593, 519, 6074, 8060, 269, 1452, 1522, 1331, 2168, 4031, 12044, 5163, 267, 4492, 4616, 3928, 267, 610, 2825, 9993, 780, 763, 4161, 6013, 538, 4466, 519, 1305, 540, 8060, 602, 24024, 630, 528, 12366, 3278, 264, 519, 1942, 1599, 1247, 17598, 782, 2016, 10148, 269, 901, 1419, 3322, 6061, 1950, 11938, 2042, 267, 799, 6770, 721, 547, 938, 1985, 1888, 281, 1210, 16803, 11219, 659, 11893, 4834, 547, 10994, 6099, 1852, 2152, 780, 273, 269, 273, 269, 273, 14572, 8838, 2711, 6513, 10819, 4635, 16803, 11219, 659, 11893, 12307, 692, 2026, 5018, 4505, 267, 16803, 11219, 659, 11893, 630, 295, 297, 264, 4834, 1683, 513, 3532, 5943, 585, 5466, 6099, 1852, 2042, 269, 1677, 9414, 741, 10626, 267, 1577, 781, 30603, 938, 1582, 28391, 1286, 1383, 269, 14597, 649, 5581, 519, 1533, 6152, 1269, 343, 259, 607, 519, 2990, 18159, 335, 318, 272, 267, 533, 318, 273, 7751, 543, 6991, 18159, 341, 318, 272, 267, 642, 318, 273, 7751, 540, 519, 1286, 538, 513, 1079, 8820, 2230, 269, 3958, 267, 8263, 649, 723, 513, 1942, 1599, 8204, 519, 2698, 2951, 942, 7132, 513, 15163, 2165, 8051, 585, 3106, 1384, 2330, 297, 314, 340, 7268, 10383, 13580, 815, 1422, 842, 3709, 271, 8703, 307, 348, 630, 272, 1341, 737, 25490, 28452, 318, 272, 317, 273, 266, 341, 318, 273, 317, 273, 16585, 19049, 267, 9681, 3602, 1269, 330, 3436, 476, 271, 259, 4564, 519, 3448, 2956, 540, 3106, 3379, 547, 2951, 942, 267, 543, 1269, 340, 7268, 10383, 7751, 18575, 519, 4294, 1852, 11378, 693, 1169, 8216, 630, 328, 4318, 1421, 10231, 543, 7432, 2557, 1040, 3776, 6662, 568, 547, 3313, 519, 6099, 1852, 4640, 1269, 340, 317, 265, 7268, 10383, 7751, 602, 24024, 1269, 297, 16859, 3086, 267, 11291, 689, 4427, 22780, 476, 273, 269, 272, 602, 670, 297, 4834, 4125, 10747, 513, 16803, 1014, 1599, 1269, 295, 259, 4470, 593, 519, 1533, 4632, 267, 1852, 11378, 267, 543, 1022, 3606, 2474, 1644, 547, 519, 1966, 1384, 2330, 295, 3287, 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 ]
[ 4057, 1582, 30625, 538, 1453, 630, 3725, 828, 267, 476, 1001, 280, 1040, 3371, 267, 2866, 7886, 593, 7059, 15970, 267, 2519, 593, 519, 2956, 540, 3617, 6302, 543, 6788, 1223, 581, 6225, 563, 268, 9483, 27465, 610, 6710, 281, 901, 4016, 547, 513, 1920, 779, 6560, 547, 2743, 2596, 2115, 1813, 547, 2883, 10148, 267, 799, 666, 3565, 547, 2566, 543, 1761, 11095, 2152, 538, 1453, 630, 290, 5142, 335, 1299, 25306, 267, 476, 1708, 271, 1040, 24727, 6322, 693, 4227, 6710, 267, 1519, 2200, 585, 13844, 1570, 5351, 543, 1489, 2533, 585, 3885, 538, 2804, 11605, 267, 1223, 948, 13468, 891, 2360, 563, 274, 269, 25398, 5426, 454, 268, 5948, 609, 32592, 550, 9905, 281, 901, 4016, 547, 2502, 609, 9905, 945, 8858, 8965, 2042, 610, 4497, 538, 24431, 3469, 2238, 267, 799, 949, 5000, 2147, 2623, 630, 300, 14525, 267, 476, 1001, 277, 1040, 2290, 4831, 4472, 3496, 2962, 1223, 581, 2502, 891, 2043, 538, 11295, 2238, 602, 3895, 2318, 9263, 12205, 563, 268, 25398, 18349, 610, 1514, 10072, 281, 901, 3322, 1373, 9846, 25323, 610, 14284, 676, 9905, 267, 799, 666, 1291, 547, 4606, 540, 20420, 543, 5732, 2333, 1981, 2188, 585, 2790, 1072, 2152, 630, 295, 1168, 7723, 1299, 853, 19172, 2041, 267, 476, 1708, 271, 1040, 27800, 1522, 4125, 1514, 1983, 2866, 547, 2087, 4205, 543, 3347, 609, 9905, 563, 268, 20134, 9263, 2604, 281, 901, 14753, 547, 519, 3310, 540, 9905, 8716, 30907, 610, 5739, 5615, 538, 606, 1367, 630, 298, 817, 514, 267, 17658, 3438, 320, 267, 1299, 22110, 2023, 267, 476, 1708, 273, 1040, 10644, 3646, 1522, 581, 10704, 1472, 3450, 6043, 1983, 547, 5706, 971, 2046, 525, 267, 610, 2679, 2792, 9055, 609, 11215, 4079, 563, 268, 14627, 550, 2242, 538, 9263, 2516, 610, 3668, 540, 7123, 17052, 281, 901, 25701, 547, 2348, 18633, 3347, 543, 3586, 2242, 538, 11505, 2516, 267, 3056, 547, 18633, 1514, 1489, 630, 3725, 828, 267, 476, 1001, 280, 1040, 3117, 11962, 9525, 538, 2146, 2238, 610, 15731, 1223, 2709, 513, 3760, 585, 8108, 11931, 543, 11215, 3347, 563, 268, 3212, 619, 945, 3895, 17181, 776, 610, 11830, 5367, 5615, 281, 901, 568, 519, 9183, 1141, 2043, 685, 9263, 2516, 6536, 25641, 610, 21678, 8456, 267, 7133, 741, 8226, 543, 2126, 540, 1866, 630, 290, 5142, 335, 1299, 25306, 267, 476, 1708, 271, 1040, 16473, 894, 3800, 1223, 1331, 2069, 3292, 602, 3895, 4763, 10343, 267, 6568, 267, 543, 2463, 585, 782, 2146, 2818, 563, 275, 269, 3427, 5426, 454, 268, 18648, 4081, 2773, 281, 901, 4016, 547, 513, 5812, 5821, 547, 2743, 3872, 4441, 610, 6859, 267, 799, 666, 17225, 2123, 2208, 543, 1582, 12635, 630, 289, 655, 1299, 1546, 808, 784, 267, 476, 1001, 274, 1040, 14288, 6351, 971, 607, 23468, 610, 1565, 1489, 2533, 1223, 2087, 2773, 543, 11177, 6015, 563, 268, 3427, 15534, 2465, 1143, 610, 1854, 3599, 281, 901, 568, 6353, 676, 7928, 610, 12675, 5805, 322, 4310, 9000, 689, 1153, 267, 5732, 3056, 547, 4081, 543, 1514, 22303, 630, 295, 1168, 7723, 1299, 853, 19172, 2041, 267, 476, 1708, 271, 1040, 8617, 2385, 14482, 12329, 10618, 543, 6278, 1223, 2709, 5813, 883, 5817, 2152, 543, 7520, 1732, 20343, 563, 268, 19768, 540, 1153, 6278, 610, 4276, 281, 901, 568, 950, 513, 2875, 568, 796, 28717, 9407, 610, 19330, 1719, 538, 1153, 2238, 799, 949, 1267, 538, 1970, 8404, 543, 2631, 540, 10362, 630, 3725, 828, 267, 476, 1001, 280, 1040, 634, 6388, 540, 29355, 543, 7317, 1565, 2833, 1223, 5818, 6278, 563, 268, 4400, 1153, 6749, 719, 281, 901, 4386, 950, 1053, 4734, 6281, 1153, 16349, 569, 267, 4611, 538, 1279, 3856, 5222, 593, 741, 4876, 16548, 543, 2123, 1646, 630, 289, 655, 1299, 1546, 808, 784, 267, 476, 1001, 274, 1040, 18601, 6749, 719, 2665, 949, 4125, 5356, 25367, 610, 4244, 3872, 3681, 602, 8597, 547, 3309, 1565, 2115, 543, 4876, 17050, 563, 268, 20134, 1153, 1604, 630, 324, 3052, 1421, 1164, 3928, 540, 11648, 267, 1970, 4116, 1489, 2567, 901, 25701, 547, 513, 1153, 2916, 602, 568, 14432, 267, 5667, 6269, 677, 633, 267, 610, 22247, 630, 300, 14525, 267, 476, 1001, 277, 1040, 15789, 5009, 6568, 543, 11587, 267, 610, 11044, 1996, 11648, 267, 607, 1134, 607, 4116, 1646, 3292, 666, 948, 6536, 513, 2318, 1153, 2916, 563, 268, 769, 1228, 12930, 1569, 547, 4081, 2200, 630, 324, 3052, 1421, 21493, 267, 24784, 2567, 901, 568, 513, 3510, 1141, 1053, 3668, 2556, 1565, 11226, 610, 5583, 267, 12145, 741, 4081, 1967, 630, 295, 1168, 7723, 1299, 853, 19172, 2041, 267, 476, 1708, 271, 1040, 10298, 1223, 1331, 2810, 6578, 782, 23148, 2509, 971, 2200, 610, 23712, 609, 1875, 2889, 22327, 945, 1223, 2709, 1489, 563, 268, 26521, 610, 17181, 1759, 593, 5198, 267, 4008, 267, 610, 824, 2188, 281, 901, 9607, 8320, 1141, 1053, 3068, 15490, 2126, 1813, 547, 741, 3961, 630, 289, 655, 1299, 1546, 808, 784, 267, 476, 1001, 274, 1040, 589, 6304, 1223, 4125, 1153, 17253, 2866, 593, 4763, 543, 13784, 267, 547, 6536, 2463, 585, 782, 1053, 267, 28000, 540, 3961, 12508, 563, 268, 3427, 4507, 602, 23494, 19439, 2864, 982, 11222, 4106, 622, 281, 901, 8100, 30095, 3527, 602, 1445, 811, 593, 5309, 1438, 3800, 2864, 982, 30997, 610, 11222, 4106, 894, 2994, 630, 298, 817, 514, 267, 17658, 3438, 320, 267, 1299, 22110, 2023, 267, 476, 1708, 273, 1040, 31197, 585, 2963, 2861, 9015, 2994, 602, 4225, 29260, 5126, 2864, 982, 10751, 1223, 1118, 513, 8101, 3017, 563, 276, 269, 7991, 5426, 454, 268, 19768, 540, 16351, 610, 2146, 2200, 281, 901, 4016, 547, 9207, 5703, 2950, 1141, 6703, 585, 2168, 267, 2686, 267, 610, 1514, 2238, 616, 3908, 610, 15534, 630, 289, 655, 1299, 1546, 808, 784, 267, 476, 1001, 274, 1040, 22388, 1889, 9778, 1223, 4125, 2146, 3785, 6322, 693, 2870, 16351, 5624, 610, 2200, 563, 268, 4317, 10072, 281, 901, 14753, 547, 513, 3668, 540, 1514, 4296, 543, 513, 2631, 540, 10362, 1369, 835, 779, 2199, 2146, 630, 290, 5142, 335, 1299, 25306, 267, 476, 1708, 271, 1040, 7991, 2621, 267, 15731, 267, 610, 3838, 5624, 949, 7520, 14479, 543, 2569, 10072, 563, 268, 19768, 540, 2146, 22122, 281, 901, 1797, 519, 9000, 540, 1455, 2418, 610, 3838, 3961, 1851, 2146, 2818, 267, 8423, 27128, 2146, 6891, 630, 298, 817, 514, 267, 17658, 3438, 320, 267, 1299, 22110, 2023, 267, 476, 1708, 273, 1040, 4980, 22899, 513, 2631, 540, 22122, 1223, 581, 6913, 998, 2146, 17253, 2621, 610, 7341, 2519, 593, 2199, 3961, 610, 3838, 2418, 563, 268, 17290, 1569, 547, 2533, 630, 8234, 267, 2069, 267, 1514, 2567, 901, 4386, 950, 7850, 2533, 1898, 585, 2489, 1134, 5630, 616, 28998, 610, 2352, 547, 1569, 630, 3725, 828, 267, 476, 1001, 280, 1040, 24046, 7616, 543, 15424, 3646, 1223, 1445, 593, 4180, 12581, 1569, 547, 891, 2629, 2533, 563, 268, 19768, 540, 2816, 3255, 281, 901, 568, 513, 9183, 1141, 972, 616, 13385, 7694, 3681, 538, 519, 2146, 267, 4061, 11874, 18363, 4747, 2157, 543, 2298, 540, 1272, 630, 295, 1168, 7723, 1299, 853, 19172, 2041, 267, 476, 1708, 271, 1040, 9024, 328, 2510, 547, 4482, 4213, 610, 1902, 538, 25367, 2866, 666, 3986, 2816, 16548, 563, 268, 7025, 10898, 610, 14107, 281, 901, 3322, 4598, 547, 5739, 6878, 538, 519, 1604, 602, 666, 28148, 1860, 2168, 1072, 543, 2298, 540, 1272, 630, 289, 655, 1299, 1546, 808, 784, 267, 476, 1001, 274, 1040, 31197, 585, 7453, 2825, 6042, 543, 2973, 5346, 7341, 666, 948, 2327, 10930, 2713, 2175, 563, 268, 19768, 540, 2922, 5624, 610, 1857, 2127, 281, 901, 4523, 950, 972, 568, 513, 17211, 538, 2922, 267, 1857, 5054, 602, 7520, 5872, 543, 16351, 2238, 630, 290, 5142, 335, 1299, 25306, 267, 476, 1708, 271, 1040, 12861, 971, 5624, 1223, 4125, 4683, 4058, 602, 15109, 2146, 2115, 267, 610, 3922, 3278, 2922, 267, 1857, 11018, 5624, 563, 32391, 11790, 5288, 13363, 633, 11790, 454, 28406, 633, 2188, 543, 1981, 2188, 616, 1079, 2565, 2035, 602, 948, 2491, 519, 1761, 1646, 540, 2790, 1072, 4713, 543, 2949, 5626, 1134, 5630, 630, 290, 5142, 335, 1299, 25306, 267, 476, 1708, 271, 1916, 268, 11485, 2188, 616, 2175, 602, 2333, 519, 10171, 540, 3384, 5626, 2042, 630, 289, 655, 1299, 1546, 808, 784, 267, 476, 1001, 274, 1040, 1452, 2175, 12732, 689, 2123, 267, 6211, 267, 547, 1514, 7516, 267, 543, 616, 24970, 1027, 757, 547, 1761, 4713, 563, 268, 13363, 633, 2188, 616, 2175, 602, 3986, 1004, 779, 6043, 543, 948, 873, 11883, 3927, 609, 17173, 3871, 630, 290, 5142, 335, 1299, 25306, 267, 476, 1708, 271, 1040, 1452, 2175, 267, 8151, 689, 2178, 1514, 1489, 5121, 547, 2635, 12003, 6127, 267, 4196, 607, 513, 17280, 1996, 519, 1646, 543, 10335, 540, 2790, 1072, 4713, 269, 1323, 3236, 540, 713, 1131, 581, 606, 1367, 609, 513, 2635, 6197, 630, 1410, 2075, 2358, 267, 2635, 2732, 267, 543, 6190, 3207, 264, 945, 666, 1732, 4383, 1272, 21500, 543, 568, 4061, 1447, 2693, 547, 1020, 4965, 630, 3725, 828, 267, 476, 1001, 280, 1916, 28406, 633, 2188, 666, 11574, 519, 1764, 540, 1981, 2188, 267, 7551, 4227, 741, 1761, 2800, 269, 1280, 3236, 267, 14038, 6534, 547, 2942, 9263, 2604, 630, 320, 1981, 3815, 264, 855, 28429, 2178, 1582, 12635, 543, 15366, 1489, 630, 23181, 633, 2188, 264, 616, 1447, 2693, 547, 9772, 519, 2942, 5615, 540, 741, 9905, 630, 298, 817, 514, 267, 17658, 3438, 320, 267, 1299, 22110, 2023, 267, 476, 1708, 273, 1916, 347, 2026, 1051, 1475, 32391, 11790, 1475, 28406, 633, 11790, 2008, 347, 14240, 1475, 30812, 1431, 610, 10305, 602, 2333, 519, 10171, 540, 513, 2942, 6364, 13954, 30812, 1431, 610, 10305, 602, 2569, 610, 11574, 519, 10171, 540, 513, 2942, 6364, 8198, 347, 14300, 630, 23149, 5426, 10534, 1700, 8899, 1582, 12635, 2008, 1700, 18648, 12003, 6127, 454, 1700, 6764, 592, 572, 1852, 2042, 454, 347, 1700, 16508, 6043, 2008, 1700, 15474, 12003, 2994, 454, 1700, 23281, 540, 3483, 610, 2104, 10066, 454, 347, 14300, 630, 23991, 5426, 10534, 1700, 7731, 4655, 2008, 1700, 9977, 531, 6219, 6057, 454, 1700, 9483, 27465, 454, 347, 1700, 19171, 1920, 7554, 2008, 1700, 8081, 633, 1753, 1604, 454, 1700, 9483, 6617, 454, 347, 14300, 630, 26322, 5426, 10534, 1700, 4400, 8378, 1821, 4800, 2008, 1700, 17290, 1569, 547, 2533, 454, 1700, 4317, 10072, 610, 30886, 454, 347, 1700, 15765, 2146, 2516, 2008, 1700, 7457, 547, 2790, 1072, 2533, 454, 1700, 2997, 22355, 540, 2146, 2200, 454, 19064, 582, 1113, 27159, 1475, 1700, 16842, 13438, 547, 8801, 2360, 2008, 1700, 27551, 2989, 8458, 540, 2942, 1272, 2621, 454, 1700, 25841, 6043, 1996, 2591, 454, 347, 1700, 24046, 2702, 547, 3068, 2591, 2008, 1700, 25841, 8458, 540, 2942, 1272, 2621, 454, 1700, 16237, 6533, 539, 6043, 543, 2318, 9542, 454, 17387, 14688, 267, 713, 6422, 568, 1655, 9763, 998, 513, 11095, 7828, 2094, 1981, 610, 8825, 2188, 3310, 2242, 1282, 519, 1367, 779, 14438, 630, 3725, 828, 267, 476, 1001, 280, 1040, 4438, 18273, 267, 585, 3236, 267, 1434, 4081, 2773, 666, 1599, 607, 513, 8825, 3815, 1996, 1854, 3599, 267, 6466, 538, 15296, 267, 4081, 2773, 568, 1419, 2484, 1447, 1271, 607, 2188, 899, 513, 11215, 23947, 563, 32391, 2188, 1404, 513, 2565, 1909, 538, 1480, 6530, 269, 3245, 22686, 1686, 267, 2123, 5615, 267, 21500, 267, 547, 1514, 2175, 267, 891, 2609, 267, 950, 1459, 267, 2333, 519, 10171, 540, 3384, 5626, 18063, 269, 1306, 513, 1267, 267, 4974, 543, 5883, 891, 2188, 568, 3810, 4143, 538, 5009, 2949, 2790, 543, 2168, 1072, 563, 289, 655, 267, 590, 1421, 1299, 1546, 808, 784, 267, 670, 269, 700, 269, 630, 1001, 274, 1040, 11933, 3749, 2152, 538, 6530, 281, 1323, 4367, 269, 5507, 281, 590, 720, 563, 290, 5142, 335, 267, 681, 269, 808, 269, 543, 25306, 267, 681, 269, 715, 269, 630, 1708, 271, 1040, 12708, 4317, 10017, 269, 5507, 281, 590, 720, 563, 295, 1168, 7723, 267, 631, 269, 543, 853, 19172, 2041, 267, 654, 269, 630, 1708, 271, 1040, 1323, 4985, 547, 4317, 10017, 269, 1715, 3840, 281, 25067, 563, 298, 817, 514, 267, 590, 1421, 17658, 3438, 320, 267, 808, 269, 543, 22110, 2023, 267, 918, 269, 630, 1708, 273, 1040, 12708, 338, 540, 10017, 269, 1715, 3840, 281, 590, 720, 563, 300, 14525, 267, 670, 269, 630, 1001, 277, 1040, 634, 590, 17803, 15610, 540, 7869, 538, 10017, 269, 1715 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8176, 8841, 267, 945, 729, 4535, 5147, 476, 3066, 267, 476, 3707, 276, 267, 1310, 1010, 4651, 2451, 4789, 585, 1753, 563, 9515, 729, 547, 12446, 538, 8575, 755, 517, 3735, 2221, 563, 306, 25885, 269, 6182, 514, 9529, 9411, 3028, 538, 5988, 476, 3707, 273, 543, 2451, 585, 4789, 538, 5181, 476, 3707, 273, 269, 1261, 729, 6728, 539, 538, 4789, 585, 476, 3451, 3275, 543, 8120, 1753, 538, 5147, 476, 3707, 276, 269, 1261, 729, 26809, 602, 5181, 563, 763, 7008, 729, 9310, 538, 853, 269, 6307, 779, 5939, 693, 12891, 6202, 267, 4789, 267, 543, 741, 338, 729, 519, 1101, 17454, 12677, 16806, 5340, 538, 12891, 6202, 1282, 519, 2112, 269, 11427, 269, 6182, 514, 9529, 568, 519, 8250, 540, 6004, 269, 543, 11427, 269, 670, 17679, 269, 630, 19604, 1245, 8841, 264, 661, 2917, 267, 12891, 6202, 267, 543, 1352, 814, 835, 7015, 267, 4165, 821, 267, 476, 1626, 269, 3040, 454, 7069, 3312, 2022, 1185, 3877, 593, 8176, 267, 1010, 4108, 1686, 543, 1010, 2150, 830, 569, 2669, 538, 476, 4198, 271, 269, 1809, 609, 519, 948, 540, 6004, 269, 32149, 543, 930, 3606, 20857, 267, 649, 666, 2322, 811, 3877, 547, 713, 2295, 342, 9879, 2648, 1650, 563, 28846, 667, 1442, 560, 14575, 6182, 514, 9529, 5747, 593, 10732, 267, 5147, 476, 1789, 267, 476, 4198, 271, 693, 1010, 8575, 755, 517, 1753, 540, 513, 2295, 17966, 618, 269, 1261, 729, 1175, 476, 3607, 269, 1635, 602, 942, 267, 646, 543, 20152, 1185, 1614, 14930, 281, 8176, 8841, 267, 945, 1185, 9976, 1010, 476, 276, 628, 14512, 519, 1554, 1354, 1010, 4651, 779, 2669, 282, 20900, 29092, 267, 476, 274, 282, 543, 15537, 15966, 548, 961, 534, 267, 476, 272, 269, 2991, 7092, 971, 513, 14042, 2530, 267, 11427, 269, 6182, 514, 9529, 3576, 1200, 14930, 543, 8120, 547, 4789, 543, 519, 1489, 540, 1200, 1920, 269, 1358, 3357, 1394, 547, 519, 2136, 2276, 538, 4864, 476, 4198, 272, 20829, 519, 6928, 10348, 6307, 563, 300, 3464, 269, 6182, 514, 9529, 9310, 5261, 14642, 13871, 538, 8575, 755, 517, 593, 4728, 476, 1789, 267, 476, 4198, 273, 269, 634, 7008, 6410, 547, 12548, 25951, 267, 12548, 538, 476, 3422, 276, 269, 2701, 5747, 5181, 476, 276, 267, 476, 3192, 273, 538, 12548, 25951, 563, 763, 1614, 14930, 540, 8176, 543, 20152, 6182, 514, 9529, 782, 1185, 4108, 11678, 899, 741, 4651, 269, 8176, 966, 269, 6182, 514, 9529, 6039, 538, 519, 772, 2529, 269, 5794, 10414, 538, 10476, 267, 519, 14655, 13323, 2782, 543, 538, 12925, 269, 1261, 5747, 593, 4873, 476, 1015, 267, 476, 1220, 277, 269, 15537, 631, 269, 6182, 514, 9529, 6039, 538, 519, 772, 2529, 269, 13149, 17620, 538, 10476, 689, 476, 3422, 278, 268, 3192, 273, 269, 1261, 5747, 593, 5412, 476, 2537, 267, 476, 1220, 276, 269, 20900, 645, 269, 6182, 514, 9529, 6039, 538, 519, 772, 2529, 269, 5794, 10414, 538, 4789, 269, 1261, 2729, 538, 5842, 21293, 267, 7147, 563, 3528, 1022, 3044, 267, 621, 729, 513, 7168, 5347, 6455, 2816, 269, 769, 2038, 5412, 476, 4572, 271, 267, 2370, 715, 2088, 7066, 583, 601, 540, 26751, 704, 267, 16855, 267, 729, 1603, 835, 540, 1200, 2834, 5022, 547, 1200, 589, 2863, 21877, 630, 307, 516, 583, 601, 264, 2961, 4802, 269, 2991, 930, 2834, 1870, 267, 519, 476, 277, 4458, 6040, 1793, 5792, 538, 513, 2022, 27771, 538, 13922, 621, 1131, 948, 1200, 3489, 513, 1726, 25979, 11442, 6564, 563, 2108, 17764, 256, 8786, 589, 2863, 21877, 594, 723, 476, 2537, 10634, 21347, 782, 10710, 909, 4712, 585, 602, 12373, 569, 2223, 715, 2088, 5206, 269, 630, 288, 20036, 11735, 281, 519, 21347, 1129, 729, 2854, 23651, 4700, 968, 9617, 1589, 589, 2863, 21877, 267, 1133, 2193, 30546, 1767, 594, 1223, 723, 621, 585, 1269, 272, 269, 2004, 10634, 1848, 630, 12988, 2072, 13362, 543, 21347, 4191, 8094, 3080, 666, 1175, 4952, 538, 602, 2370, 8004, 779, 2247, 267, 589, 2863, 21877, 729, 1175, 7996, 547, 1451, 540, 519, 476, 2537, 21347, 547, 13021, 519, 2898, 4308, 269, 9320, 1256, 538, 942, 585, 8285, 476, 4572, 271, 256, 898, 19595, 803, 540, 519, 476, 2735, 274, 4670, 267, 589, 8285, 9452, 267, 514, 799, 513, 1762, 7911, 1568, 593, 1010, 1378, 6725, 12334, 547, 3489, 513, 4414, 27550, 1457, 16087, 710, 2962, 476, 1220, 6879, 582, 2039, 2203, 2011, 29461, 269, 5590, 538, 519, 476, 3707, 271, 338, 538, 1507, 2389, 1144, 18518, 267, 1454, 540, 519, 4729, 25856, 1472, 2370, 25453, 773, 779, 3646, 547, 1205, 602, 29461, 585, 8285, 1152, 547, 581, 5143, 676, 1585, 4079, 267, 968, 2791, 3580, 9496, 707, 3750, 856, 3034, 1103, 519, 4670, 267, 25453, 773, 4991, 1010, 29461, 267, 855, 649, 1810, 1406, 917, 952, 715, 2088, 2479, 3893, 602, 19644, 12373, 569, 269, 898, 779, 9266, 547, 8263, 1352, 711, 1152, 5206, 1200, 4484, 540, 19583, 267, 855, 5310, 21284, 621, 609, 930, 3068, 3562, 19904, 4901, 609, 15210, 589, 2863, 21877, 543, 1200, 7015, 267, 1133, 2193, 30546, 7066, 583, 601, 269, 1411, 786, 1205, 1434, 12918, 952, 267, 899, 803, 267, 596, 3494, 715, 2088, 3893, 1200, 12373, 569, 563, 288, 2863, 21877, 2961, 4802, 729, 513, 5172, 540, 782, 519, 1453, 538, 519, 7066, 583, 601, 26260, 2335, 17507, 3885, 269, 2701, 729, 519, 2034, 3917, 537, 978, 652, 1126, 540, 10218, 543, 28741, 24297, 7066, 3241, 269, 4173, 1920, 6410, 547, 26751, 704, 538, 476, 5002, 271, 1310, 519, 2669, 540, 1200, 4651, 269, 21877, 729, 513, 30508, 4484, 5856, 543, 6854, 513, 2143, 16150, 1504, 689, 799, 713, 4484, 3357, 563, 301, 2088, 7066, 583, 601, 8057, 909, 543, 9310, 18039, 14355, 269, 1358, 6170, 1034, 540, 741, 9310, 1272, 538, 654, 879, 651, 1146, 267, 13325, 267, 585, 513, 942, 5665, 513, 1507, 17365, 4558, 2143, 11992, 593, 713, 5816, 269, 2701, 729, 835, 540, 519, 7820, 19946, 540, 1250, 20516, 267, 25007, 630, 307, 516, 583, 601, 264, 30567, 17507, 269, 715, 2088, 5747, 538, 476, 1220, 276, 538, 14151, 563, 22818, 519, 1034, 23406, 851, 540, 602, 476, 4572, 271, 4484, 3357, 1354, 519, 6455, 12334, 585, 519, 12373, 569, 269, 968, 3963, 4769, 1406, 596, 2097, 1524, 10732, 9495, 1352, 5206, 269, 968, 11039, 594, 1590, 9505, 909, 1317, 17328, 6499, 547, 2673, 1010, 4484, 609, 2648, 689, 544, 4821, 3034, 296, 6557, 3622, 711, 513, 10178, 540, 1514, 2923, 2985, 968, 331, 10105, 892, 610, 8843, 610, 10178, 17192, 269, 2755, 621, 568, 835, 11973, 540, 1967, 538, 519, 2228, 1158, 267, 621, 849, 666, 1305, 721, 909, 585, 2653, 29359, 269, 2334, 1373, 1767, 267, 594, 729, 3833, 20938, 547, 1294, 1250, 22594, 685, 16806, 8666, 2721, 971, 8799, 8292, 593, 606, 17749, 2985, 6131, 547, 8497, 519, 2984, 3297, 6337, 563, 306, 3058, 7731, 16071, 12286, 713, 476, 4572, 276, 16806, 17855, 2221, 267, 2059, 609, 519, 11356, 1650, 3370, 16172, 1310, 519, 7365, 540, 14161, 674, 269, 30567, 17507, 543, 25007, 966, 269, 7066, 583, 601, 269, 1306, 540, 713, 1603, 630, 1652, 982, 835, 2407, 1554, 593, 4159, 1070, 519, 8666, 814, 476, 272, 267, 28318, 15055, 269, 589, 10386, 540, 519, 21951, 8292, 912, 14881, 723, 513, 2147, 4605, 540, 1250, 22594, 269, 1411, 4076, 6273, 803, 547, 7406, 621, 3034, 2108, 32452, 256, 27202, 4605, 28461, 28317, 3020, 14951, 3034, 2108, 1805, 7342, 8666, 269, 11146, 1169, 1469, 269, 589, 10516, 585, 596, 547, 723, 713, 3034, 29205, 1406, 2648, 713, 2614, 2507, 560, 650, 3168, 585, 6337, 540, 1250, 22594, 12311, 26204, 3034, 2108, 6546, 568, 1631, 949, 5172, 16806, 8666, 256, 1548, 513, 14951, 28461, 296, 11643, 519, 8666, 547, 30540, 7731, 16071, 689, 7066, 25979, 22032, 267, 938, 11078, 3135, 269, 1403, 596, 616, 593, 17749, 267, 1265, 873, 7711, 338, 1511, 26967, 31688, 657, 269, 1411, 666, 849, 1294, 519, 19922, 593, 741, 1357, 3135, 563, 2710, 532, 1382, 593, 1920, 1686, 568, 606, 3078, 3460, 269, 2334, 568, 519, 2898, 2856, 3297, 7066, 25979, 22032, 267, 513, 1507, 1870, 6131, 547, 4543, 596, 4786, 856, 543, 3356, 593, 707, 1686, 3460, 269, 1284, 16436, 782, 540, 519, 3988, 540, 519, 30567, 17507, 25201, 547, 3643, 543, 1246, 7066, 25979, 22032, 563, 2467, 616, 6266, 540, 2228, 12240, 543, 2533, 856, 972, 6131, 547, 5444, 30688, 543, 1686, 269, 1403, 602, 782, 4667, 11566, 547, 596, 267, 7066, 25979, 22032, 568, 513, 1434, 1747, 547, 1376, 269, 1403, 596, 4076, 3323, 707, 1382, 543, 991, 513, 5818, 689, 513, 3318, 11001, 267, 7066, 25979, 22032, 568, 849, 585, 596, 269, 4634, 952, 596, 2461, 606, 4274, 543, 1616, 547, 2322, 930, 811, 2909, 1233, 3297, 707, 3785, 267, 649, 666, 948, 563, 2171, 711, 1152, 2709, 513, 2407, 24365, 540, 2533, 267, 855, 649, 786, 849, 5838, 4277, 267, 3730, 1543, 593, 938, 5816, 269, 1284, 20647, 538, 912, 20124, 26198, 1299, 4825, 537, 4221, 454, 307, 516, 25979, 22032, 8057, 856, 540, 513, 2648, 585, 1686, 269, 15608, 30567, 17507, 267, 938, 8783, 11001, 543, 8227, 267, 814, 1044, 3257, 5444, 30688, 1382, 585, 811, 982, 513, 8717, 269, 1261, 8255, 519, 2442, 30567, 17507, 25201, 1357, 3135, 267, 543, 814, 1044, 513, 3318, 5856, 543, 3868, 1807, 585, 811, 982, 476, 1789, 1296, 269, 769, 476, 1001, 271, 267, 646, 3370, 1010, 1101, 1433, 267, 634, 17714, 5851, 281, 3733, 12429, 779, 9452, 540, 9435, 267, 18321, 543, 5020, 16644, 4474, 21001, 3380, 269, 3571, 1101, 1686, 1788, 729, 4543, 1010, 4651, 1376, 2650, 1424, 1927, 1010, 1920, 5072, 689, 5125, 543, 623, 9593, 16492, 269, 2334, 8057, 883, 513, 2101, 23072, 269, 634, 30567, 17507, 25201, 6585, 811, 982, 476, 1428, 267, 1822, 2592, 543, 5215, 540, 8978, 6054, 563, 14532, 568, 513, 3460, 543, 606, 2479, 19145, 10278, 269, 1306, 649, 899, 547, 2161, 267, 1169, 1650, 19262, 513, 5639, 267, 543, 513, 22299, 269, 1284, 616, 1934, 547, 581, 707, 7649, 538, 1686, 563, 2171, 4076, 7074, 11992, 593, 713, 5816, 519, 10344, 1983, 540, 14161, 674, 269, 30567, 17507, 267, 855, 25015, 649, 4076, 4362, 602, 646, 543, 1010, 7015, 12070, 6975, 717, 269, 30567, 17507, 1185, 15421, 609, 1863, 8518, 14745, 269, 11554, 593, 519, 1032, 1504, 693, 12493, 4400, 3427, 538, 9835, 14943, 1749, 267, 12598, 1421, 519, 14552, 6039, 3592, 607, 546, 3241, 532, 5159, 563, 297, 644, 3101, 676, 519, 1899, 12400, 1142, 1500, 538, 1164, 1153, 543, 538, 1296, 1310, 267, 1312, 2367, 1185, 7499, 5759, 269, 12070, 6975, 630, 6245, 280, 268, 2735, 278, 264, 1101, 6039, 607, 606, 7376, 543, 9375, 585, 519, 13259, 323, 1177, 698, 600, 1032, 1504, 269, 13259, 323, 1177, 698, 600, 568, 606, 4095, 2262, 602, 4016, 547, 519, 968, 18314, 21758, 22850, 1749, 892, 2059, 519, 16855, 5211, 269, 634, 1032, 1504, 729, 1101, 3370, 538, 476, 4489, 277, 269, 12070, 6975, 21783, 689, 12493, 538, 476, 4489, 279, 267, 543, 14161, 4553, 538, 476, 4572, 272, 269, 5637, 14161, 630, 5002, 272, 268, 2735, 273, 264, 543, 12070, 6975, 16668, 519, 12383, 585, 519, 1032, 1504, 779, 3296, 3817, 267, 971, 607, 1325, 30282, 543, 11846, 267, 543, 519, 1585, 1362, 6810, 563, 310, 559, 6975, 16668, 513, 10875, 6010, 8864, 1759, 593, 14161, 779, 1164, 1153, 22692, 4605, 269, 634, 5767, 1383, 540, 1688, 12383, 649, 1223, 1265, 568, 689, 476, 3707, 276, 267, 6029, 513, 772, 2529, 269, 3028, 4759, 1985, 547, 519, 6031, 267, 968, 16605, 1055, 519, 17151, 5202, 1848, 634, 13108, 1425, 545, 17507, 538, 519, 14745, 12217, 513, 11495, 11696, 28917, 547, 14161, 269, 3571, 5067, 5213, 333, 717, 269, 30567, 17507, 630, 4572, 277, 268, 1001, 275, 264, 6039, 20829, 519, 2475, 306, 670, 17344, 3430, 7345, 1282, 2622, 2782, 4083, 269, 0, 20376, 12053, 29714, 543, 6355, 7261, 3380, 454, 5804, 476, 6942, 274, 547, 476, 2735, 273, 519, 2475, 19004, 2833, 476, 2918, 12424, 687, 267, 609, 4686, 17756, 267, 519, 12424, 687, 941, 10483, 676, 513, 7771, 538, 6006, 5777, 269, 4438, 519, 18060, 532, 20073, 687, 538, 1870, 2534, 267, 6006, 5777, 2356, 9782, 563, 312, 3658, 593, 9746, 267, 18513, 543, 2475, 2229, 7554, 607, 1134, 607, 824, 1719, 3928, 723, 5176, 2141, 24111, 1282, 519, 2663, 5933, 540, 909, 1873, 902, 538, 1870, 9979, 543, 15468, 1282, 17498, 342, 902, 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 ]
[ 538, 707, 1272, 543, 10450, 22038, 267, 1634, 269, 32084, 519, 4622, 281, 1863, 786, 5288, 12556, 3594, 281, 6408, 540, 12556, 666, 1405, 9101, 22038, 519, 522, 20432, 267, 2322, 2390, 32037, 689, 1010, 4332, 267, 28715, 1864, 689, 519, 1376, 269, 4828, 827, 22038, 543, 12556, 8915, 22038, 1557, 8915, 22038, 8915, 22038, 729, 513, 3661, 602, 3323, 538, 519, 476, 7277, 271, 779, 1557, 476, 273, 12556, 543, 1863, 786, 269, 674, 622, 543, 22038, 538, 968, 334, 20268, 556, 343, 892, 543, 968, 4364, 20660, 892, 910, 15293, 1603, 3594, 811, 1863, 3594, 12556, 5288, 1863, 786, 281, 32037, 556, 343, 269, 674, 622, 5288, 1863, 786, 3594, 519, 2243, 540, 2436, 938, 2729, 616, 6417, 676, 12556, 610, 1863, 786, 814, 543, 786, 2141, 581, 1472, 711, 8209, 513, 22038, 563, 305, 727, 334, 543, 20246, 910, 22038, 543, 12556, 476, 274, 3817, 476, 278, 1428, 1913, 23891, 4231, 476, 1001, 276, 10710, 3594, 4688, 707, 3594, 1934, 865, 596, 666, 12398, 873, 3533, 269, 29975, 781, 6249, 281, 12556, 5288, 1863, 2914, 650, 3594, 4424, 6692, 2917, 11828, 1082, 1271, 4798, 22038, 729, 1932, 3136, 2542, 713, 1557, 3136, 2542, 269, 32084, 281, 12556, 5288, 1863, 786, 32037, 281, 12556, 5288, 1863, 786, 1557, 12556, 568, 3743, 875, 835, 666, 7369, 1010, 22038, 998, 519, 1688, 540, 1863, 786, 269, 21145, 281, 476, 8270, 611, 3594, 2140, 281, 22038, 267, 12556, 267, 1863, 786, 543, 1863, 3903, 538, 4630, 518, 781, 476, 8270, 611, 563, 293, 622, 543, 22038, 538, 3332, 476, 275, 3817, 476, 10482, 277, 1913, 562, 4912, 476, 1001, 275, 10710, 3594, 4688, 707, 3594, 1934, 865, 596, 666, 12398, 873, 3533, 269, 5131, 17440, 593, 12556, 543, 22038, 689, 1557, 4157, 1260, 267, 519, 20410, 3594, 2754, 585, 1557, 267, 12031, 543, 17440, 1603, 269, 26647, 31227, 609, 4798, 971, 607, 12556, 543, 1863, 786, 538, 8683, 28965, 5889, 23717, 338, 32037, 519, 4622, 649, 5889, 23717, 557, 3893, 519, 2656, 543, 2653, 1970, 6658, 593, 621, 1934, 563, 763, 8106, 11715, 2103, 15874, 519, 4655, 1063, 12556, 543, 1863, 786, 693, 519, 2295, 540, 1169, 1390, 13357, 6013, 519, 8471, 6560, 1063, 519, 1480, 31007, 547, 3398, 12556, 11613, 543, 519, 2067, 7287, 547, 1852, 22038, 269, 634, 2621, 538, 32037, 519, 4622, 267, 2854, 676, 8683, 28965, 267, 1397, 606, 5817, 2078, 540, 812, 781, 1863, 786, 4540, 1369, 519, 17184, 1931, 610, 12556, 799, 519, 563, 291, 652, 4176, 12556, 543, 1863, 786, 1557, 454, 2171, 1058, 2253, 676, 6158, 827, 1018, 1863, 786, 568, 1863, 786, 610, 1100, 1863, 786, 6138, 1557, 1820, 4704, 713, 22038, 267, 610, 2392, 652, 1588, 269, 674, 622, 5288, 1863, 786, 910, 1004, 616, 865, 1775, 1336, 707, 1557, 547, 581, 1360, 20585, 543, 835, 540, 1250, 9998, 4930, 1107, 1863, 786, 5288, 22038, 11721, 622, 31574, 12609, 568, 1869, 835, 540, 1250, 269, 7797, 6057, 1753, 2798, 540, 2070, 12556, 5288, 1863, 786, 12556, 5288, 1863, 786, 547, 519, 4229, 540, 942, 610, 22038, 723, 1863, 786, 1317, 540, 12556, 563, 5649, 713, 1557, 593, 12556, 543, 1863, 15884, 538, 519, 27356, 8124, 2097, 19584, 938, 1804, 3059, 23999, 540, 1863, 3732, 3594, 1205, 519, 1702, 596, 991, 538, 1931, 547, 1780, 707, 5049, 543, 811, 269, 5438, 1329, 1424, 12556, 610, 7680, 12556, 610, 267, 519, 18052, 281, 22805, 786, 543, 22038, 538, 585, 519, 5301, 540, 1250, 1557, 267, 1507, 1922, 12556, 543, 1507, 1673, 22038, 786, 581, 269, 10749, 12556, 543, 1863, 786, 12556, 543, 1863, 786, 649, 1205, 606, 8076, 543, 8723, 2243, 827, 22038, 543, 12556, 602, 1034, 540, 721, 538, 782, 10171, 1131, 2307, 269, 1772, 621, 12556, 610, 1863, 15884, 513, 6949, 908, 6249, 538, 15567, 3780, 32614, 281, 607, 12556, 11887, 938, 22038, 267, 1863, 15884, 2636, 721, 547, 609, 1010, 12556, 15567, 3780, 32614, 543, 14697, 639, 269, 4828, 22038, 267, 12556, 267, 543, 1863, 786, 538, 12335, 781, 16664, 476, 9032, 275, 1913, 1923, 476, 275, 3817, 16664, 281, 519, 1909, 540, 12556, 12556, 4249, 606, 1271, 1909, 538, 12335, 781, 16664, 563, 294, 22330, 7005, 3332, 17440, 910, 22038, 267, 12556, 267, 543, 1863, 786, 538, 12335, 781, 16664, 269, 3367, 713, 1557, 593, 32037, 519, 4622, 281, 1863, 786, 610, 12556, 713, 1557, 786, 1865, 875, 1863, 786, 543, 22038, 1599, 538, 519, 1079, 4249, 1101, 269, 4828, 593, 22038, 1266, 1557, 476, 272, 538, 519, 1404, 968, 1492, 13357, 540, 15567, 3780, 32614, 892, 676, 13275, 12335, 972, 568, 1079, 4229, 693, 960, 12556, 543, 1863, 786, 12556, 729, 3254, 269, 5131, 1557, 281, 22038, 267, 12556, 543, 1863, 786, 538, 4630, 518, 781, 27356, 8124, 12556, 4667, 547, 1219, 344, 8103, 693, 1169, 2490, 513, 812, 949, 723, 1010, 1272, 9709, 856, 547, 519, 2063, 2034, 269, 4515, 281, 22038, 543, 12556, 1557, 1806, 1527, 281, 543, 7985, 902, 786, 782, 2097, 689, 938, 1863, 786, 1250, 22038, 568, 5462, 676, 519, 5079, 1775, 1118, 2429, 1250, 1272, 269, 0, 10403, 1557, 281, 522, 12921, 541, 11634, 785, 2401, 781, 3527, 1282, 519, 2868, 12151, 519, 2868, 12151, 2356, 4016, 547, 562, 21532, 27437, 781, 9836, 21393, 540, 1585, 9082, 1282, 519, 269, 744, 12921, 541, 11634, 785, 2401, 267, 2112, 1527, 924, 518, 267, 4807, 6500, 267, 543, 562, 21532, 5428, 4759, 267, 3587, 519, 12691, 5869, 543, 5260, 1640, 540, 827, 476, 272, 267, 476, 1911, 32432, 9925, 338, 1282, 519, 2868, 12151, 269, 476, 1001, 277, 268, 1556, 268, 1015, 4797, 689, 519, 1565, 3391, 476, 276, 693, 519, 4098, 540, 519, 2112, 11634, 785, 2401, 729, 513, 6067, 9037, 1164, 2713, 2112, 1527, 924, 518, 14221, 547, 1118, 2724, 689, 519, 3765, 325, 28232, 540, 519, 9925, 338, 563, 19284, 1034, 11049, 1299, 6169, 15105, 2533, 267, 649, 12575, 585, 3388, 281, 8239, 267, 10259, 267, 18685, 267, 2856, 2095, 267, 4845, 2497, 267, 1299, 811, 1205, 3323, 1631, 269, 476, 1001, 279, 268, 278, 268, 272, 3594, 689, 1433, 4048, 338, 1683, 1390, 2093, 585, 522, 12921, 541, 11634, 785, 2401, 3594, 543, 1957, 3584, 899, 1557, 2070, 713, 2875, 1557, 827, 522, 12921, 541, 11634, 785, 2401, 269, 744, 12921, 541, 11634, 785, 2401, 267, 519, 812, 543, 519, 5869, 267, 1557, 538, 513, 1362, 4974, 519, 2868, 12151, 563, 1001, 276, 268, 275, 268, 1839, 519, 4693, 540, 522, 12921, 541, 9240, 2287, 24203, 476, 1839, 267, 1175, 607, 835, 630, 11634, 785, 2401, 585, 1383, 264, 10710, 865, 1082, 267, 849, 835, 812, 23689, 1082, 610, 538, 713, 2013, 267, 588, 1961, 689, 1082, 11783, 476, 1001, 279, 268, 278, 268, 280, 536, 686, 25053, 267, 4807, 2358, 543, 6704, 15991, 519, 10305, 4397, 540, 513, 5869, 267, 855, 522, 24249, 11634, 785, 2401, 729, 606, 6397, 5869, 538, 30217, 748, 2053, 522, 24249, 11634, 785, 2401, 729, 513, 1870, 2006, 945, 1500, 1010, 2724, 856, 540, 29227, 513, 10464, 2707, 540, 11668, 268, 519, 9925, 338, 849, 1134, 1634, 729, 1010, 2648, 540, 2021, 267, 4568, 543, 269, 1133, 342, 3739, 5182, 281, 522, 2993, 342, 807, 546, 629, 4900, 6390, 267, 9907, 1614, 267, 4249, 519, 11599, 1412, 326, 20071, 538, 519, 2699, 10359, 262, 538, 476, 1960, 274, 522, 24249, 10888, 11634, 785, 2401, 781, 1592, 563, 10403, 1557, 281, 968, 15367, 1197, 17990, 513, 2582, 1272, 267, 621, 568, 607, 952, 646, 1185, 10710, 519, 2898, 1158, 892, 630, 16967, 330, 8657, 264, 891, 1913, 267, 607, 25250, 856, 538, 519, 3777, 14125, 1014, 5657, 31053, 267, 24901, 269, 476, 1001, 274, 268, 1556, 268, 1321, 522, 24249, 16771, 476, 1960, 274, 281, 1655, 4605, 713, 3391, 786, 4983, 930, 540, 519, 4282, 547, 519, 4670, 11634, 785, 2401, 779, 1592, 543, 269, 476, 1960, 275, 268, 273, 268, 1626, 522, 12921, 541, 11634, 785, 2401, 5013, 281, 24141, 1870, 2006, 522, 12921, 541, 11634, 785, 2401, 630, 5002, 279, 268, 3192, 275, 264, 10710, 9925, 338, 538, 1135, 663, 543, 524, 14864, 657, 21754, 25474, 689, 2669, 693, 519, 3946, 540, 519, 562, 1794, 529, 1282, 1158, 2112, 13797, 676, 14139, 873, 538, 1010, 12051, 269, 476, 1001, 279, 268, 277, 268, 2767, 513, 4015, 540, 5444, 11530, 673, 12632, 1644, 547, 11634, 785, 2401, 781, 1592, 281, 519, 2370, 8004, 609, 519, 2699, 10359, 910, 519, 3020, 1650, 269, 744, 12921, 541, 11634, 785, 2401, 779, 7004, 689, 562, 21532, 2112, 1527, 924, 518, 547, 2149, 528, 540, 9925, 338, 568, 519, 1641, 540, 1896, 32026, 267, 519, 1655, 5498, 29818, 3209, 11634, 785, 2401, 779, 1592, 563, 1001, 272, 268, 1321, 268, 1428, 1496, 539, 3218, 779, 4063, 281, 2046, 1404, 568, 10583, 547, 1459, 3184, 476, 272, 540, 938, 1101, 3381, 1557, 3126, 538, 1463, 11450, 609, 967, 1171, 790, 281, 9059, 543, 1769, 281, 519, 8874, 540, 2848, 1597, 269, 2060, 1010, 960, 519, 2468, 19631, 29478, 267, 522, 12921, 541, 11634, 12661, 1067, 14593, 7544, 883, 519, 476, 736, 628, 2540, 267, 1210, 20419, 880, 24853, 543, 6505, 15437, 538, 513, 29737, 3408, 540, 29678, 1107, 543, 513, 1007, 14266, 2982, 1055, 1010, 2189, 9345, 269, 5131, 522, 12921, 541, 11634, 785, 2401, 4574, 267, 3594, 267, 543, 1382, 4574, 269, 2859, 1557, 1806, 593, 562, 1794, 1143, 19875, 2705, 267, 1310, 646, 9310, 900, 559, 773, 10652, 345, 331, 538, 476, 4572, 279, 930, 8082, 729, 4547, 909, 1063, 1864, 543, 1010, 4651, 12462, 338, 577, 785, 2401, 12092, 9731, 1001, 279, 268, 278, 268, 276, 519, 522, 12921, 541, 11634, 785, 2401, 568, 835, 540, 519, 1034, 2442, 10467, 1851, 1053, 262, 6054, 952, 596, 616, 12758, 609, 1603, 610, 7508, 2093, 267, 20801, 1524, 543, 1265, 6667, 538, 519, 1655, 5439, 269, 476, 1001, 278, 268, 1556, 268, 1015, 875, 13840, 4977, 729, 11634, 785, 2401, 781, 1592, 9337, 22599, 11634, 785, 2401, 781, 1592, 568, 1759, 593, 519, 3020, 1650, 540, 519, 519, 522, 24249, 11634, 785, 2401, 1650, 12662, 621, 269, 3367, 713, 3332, 1557, 543, 936, 476, 6434, 267, 1822, 824, 1382, 6054, 522, 24249, 11634, 785, 2401, 522, 24249, 11634, 785, 2401, 522, 12921, 541, 11634, 785, 2401, 1131, 2760, 723, 1044, 4896, 779, 4998, 5260, 1640, 267, 2523, 585, 519, 9925, 880, 2146, 269, 744, 12921, 541, 11634, 785, 2401, 3377, 1265, 8840, 3377, 267, 16555, 267, 543, 31150, 1344, 827, 522, 12921, 541, 11634, 785, 2401, 689, 519, 5513, 25293, 580, 1388, 7302, 545, 698, 582, 1026, 2317, 563, 1001, 275, 268, 274, 268, 866, 30602, 544, 5186, 933, 779, 1433, 522, 12921, 541, 11634, 785, 2401, 281, 519, 2150, 1245, 2272, 540, 1010, 1272, 267, 29053, 2238, 543, 519, 3020, 1650, 3297, 519, 1592, 1058, 581, 2808, 513, 5929, 538, 3329, 894, 543, 3140, 1382, 1759, 593, 11042, 609, 19421, 540, 2868, 12151, 15000, 10710, 676, 522, 12921, 541, 11634, 785, 2401, 543, 609, 1569, 547, 269, 476, 1001, 279, 268, 278, 268, 276, 1205, 782, 519, 3877, 593, 11634, 785, 2401, 781, 1592, 281, 2575, 630, 16557, 264, 6609, 267, 2079, 267, 543, 811, 267, 865, 596, 666, 1174, 519, 1202, 543, 16080, 540, 11634, 785, 2401, 781, 1592, 269, 476, 1001, 279, 268, 278, 268, 1704, 2347, 5758, 540, 28114, 737, 2940, 958, 781, 11634, 785, 2401, 781, 1592, 679, 4925, 4729, 24096, 3382, 782, 519, 1713, 2962, 540, 11634, 785, 2401, 781, 1592, 269, 0, 10403, 1557, 281, 14447, 543, 24139, 2924, 950, 1775, 1224, 519, 3948, 602, 1767, 649, 12582, 1405, 25058, 938, 3646, 547, 5009, 519, 2924, 540, 8350, 321, 2103, 543, 14447, 2367, 269, 24380, 2917, 4622, 8239, 543, 5888, 3992, 476, 4037, 12819, 1557, 593, 14447, 7365, 7365, 568, 519, 602, 7303, 575, 904, 543, 8350, 321, 2103, 689, 513, 14447, 2924, 269, 4892, 798, 3494, 538, 3246, 3160, 2924, 547, 519, 14447, 2146, 267, 649, 786, 2328, 513, 2688, 1557, 3732, 593, 12819, 1557, 281, 14447, 7365, 4481, 585, 596, 269, 2368, 540, 519, 1655, 3594, 3126, 267, 9880, 267, 519, 2165, 1957, 1603, 2221, 1934, 596, 4444, 2688, 2854, 4574, 2139, 693, 4550, 612, 904, 24139, 267, 14447, 267, 5198, 267, 2621, 543, 563, 1607, 1863, 15257, 1557, 593, 1557, 281, 14447, 7365, 568, 3501, 585, 15257, 1053, 547, 946, 2048, 326, 599, 2924, 568, 1480, 2924, 685, 575, 904, 610, 24139, 1152, 814, 1114, 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, 11900, 1068, 539, 676, 12844, 5500, 18722, 538, 21145, 6103, 693, 13723, 267, 4728, 476, 2641, 560, 476, 1001, 279, 269, 4460, 539, 609, 1547, 476, 5655, 270, 1911, 15951, 676, 476, 3583, 275, 3755, 454, 1607, 533, 271, 560, 3296, 6770, 476, 3374, 8666, 540, 6103, 267, 930, 540, 873, 616, 1519, 476, 273, 526, 6103, 4569, 6096, 18827, 1656, 25513, 15026, 476, 279, 269, 8866, 6096, 1280, 2353, 8281, 1656, 9523, 5131, 5822, 6103, 476, 277, 269, 476, 273, 526, 6103, 4569, 5871, 11759, 3557, 11621, 6096, 476, 14917, 269, 476, 273, 526, 6103, 4569, 6478, 10819, 476, 8287, 563, 5472, 7126, 27616, 269, 5071, 730, 30931, 267, 12478, 543, 782, 23345, 2326, 676, 3755, 616, 519, 3959, 540, 741, 9757, 5411, 269, 6096, 15206, 543, 5131, 28826, 269, 2353, 7126, 1234, 951, 539, 563, 15100, 476, 1001, 277, 6096, 15206, 543, 5131, 28826, 267, 29651, 269, 27931, 27931, 27931, 27931, 27931, 27931, 27931, 27931, 27931, 0, 1103, 519, 4832, 540, 476, 1001, 278, 267, 513, 18453, 3644, 5631, 7133, 519, 12907, 267, 1336, 922, 1259, 5196, 519, 1292, 18134, 2780, 1949, 540, 8585, 1188, 20739, 1136, 688, 22106, 585, 519, 2754, 269, 4340, 547, 519, 9931, 9335, 4750, 267, 519, 10071, 1942, 519, 14453, 9649, 1269, 277, 3583, 2929, 547, 1121, 18957, 267, 855, 811, 11932, 267, 621, 3361, 17522, 547, 519, 2504, 540, 1079, 540, 8585, 1188, 779, 12963, 10074, 281, 8493, 553, 559, 476, 280, 630, 14549, 14466, 650, 558, 8785, 264, 543, 1234, 18474, 643, 1314, 630, 295, 788, 22807, 645, 3644, 1070, 10074, 547, 948, 2061, 16770, 10299, 5563, 269, 4438, 519, 6433, 267, 8585, 1188, 22666, 689, 513, 15509, 6669, 6006, 335, 850, 267, 538, 1931, 547, 2743, 3761, 19647, 585, 8493, 553, 559, 476, 280, 269, 1717, 267, 602, 729, 711, 519, 2013, 609, 1234, 18474, 643, 1314, 267, 519, 22031, 22807, 645, 6669, 2016, 547, 782, 9002, 4098, 519, 1101, 1554, 540, 1272, 269, 1703, 568, 3395, 6161, 1851, 930, 3744, 827, 519, 11956, 7755, 340, 2779, 4452, 538, 10074, 543, 922, 2360, 593, 519, 14715, 1072, 540, 1453, 269, 12824, 616, 3226, 7255, 609, 8585, 1188, 779, 3810, 6375, 8328, 7755, 340, 2779, 267, 2549, 6973, 748, 1325, 26891, 10281, 32611, 874, 24043, 590, 17139, 622, 630, 8150, 9391, 1040, 8493, 553, 559, 543, 1234, 18474, 643, 1314, 616, 519, 1152, 10074, 13931, 547, 2270, 21191, 9391, 269, 1284, 1631, 723, 811, 982, 513, 1032, 779, 4502, 540, 1239, 547, 4983, 2094, 519, 4323, 538, 476, 1001, 278, 950, 1621, 518, 1460, 5174, 729, 5189, 269, 2201, 3328, 972, 941, 476, 3066, 7972, 4080, 12422, 585, 19939, 1296, 1991, 547, 519, 4323, 630, 1220, 274, 547, 476, 1001, 278, 1040, 769, 476, 1001, 279, 972, 941, 1152, 476, 277, 4080, 630, 1729, 1439, 540, 5437, 476, 1001, 279, 1040, 5565, 540, 1346, 7972, 4553, 1234, 18474, 643, 1314, 563, 30560, 1188, 781, 8493, 553, 559, 6669, 4718, 513, 476, 4649, 260, 2333, 936, 2063, 1032, 779, 3791, 10116, 267, 2121, 1154, 1269, 272, 269, 4962, 5479, 538, 2518, 6455, 585, 519, 3791, 10116, 540, 476, 1001, 279, 269, 8729, 547, 5001, 6455, 267, 519, 8493, 553, 559, 6669, 814, 1831, 519, 1283, 2724, 20536, 585, 8585, 1188, 269, 674, 15127, 4942, 12609, 267, 519, 6725, 4123, 8313, 585, 6669, 9755, 267, 5359, 602, 8585, 1188, 779, 8493, 553, 559, 814, 1044, 4412, 2454, 519, 7966, 320, 9649, 779, 6669, 1770, 538, 2487, 20453, 267, 543, 602, 3085, 1405, 1413, 899, 621, 3513, 581, 4657, 269, 634, 2754, 12034, 811, 2208, 6619, 7064, 547, 606, 968, 684, 2181, 13484, 2333, 538, 5001, 3747, 892, 585, 19690, 10074, 267, 606, 10324, 1767, 269, 18601, 519, 6669, 781, 2773, 593, 513, 2487, 10554, 1289, 267, 8585, 1188, 779, 7022, 540, 2518, 1480, 1072, 14088, 2480, 515, 577, 614, 1767, 519, 2754, 568, 968, 572, 4370, 13778, 2333, 538, 5001, 3747, 585, 519, 19690, 10074, 1848, 1261, 1767, 2518, 3747, 814, 968, 323, 12874, 1194, 538, 519, 2063, 1032, 4805, 1848, 11531, 267, 519, 1286, 333, 720, 2451, 3297, 689, 2527, 8493, 553, 559, 12674, 3292, 5170, 547, 1205, 1158, 17253, 4598, 267, 607, 7189, 267, 3744, 267, 543, 9601, 1413, 585, 2081, 547, 28586, 2527, 8493, 553, 559, 12674, 3292, 269, 589, 2487, 11018, 538, 8581, 693, 606, 17692, 32177, 10554, 4547, 1927, 1082, 1158, 3401, 547, 1865, 519, 8493, 553, 559, 1966, 267, 543, 1776, 5870, 568, 16516, 538, 519, 772, 2529, 269, 538, 476, 1001, 280, 1282, 519, 20150, 2290, 10554, 267, 693, 519, 476, 275, 628, 16316, 4139, 19690, 28404, 4065, 32600, 563, 763, 1876, 325, 3305, 540, 7395, 331, 1470, 18332, 1299, 1677, 1446, 267, 623, 6993, 269, 9307, 4505, 713, 3923, 630, 20809, 267, 476, 1001, 279, 264, 602, 789, 1185, 7858, 7007, 513, 1269, 6200, 2929, 13362, 11175, 585, 606, 10867, 945, 11124, 513, 4049, 5114, 547, 519, 2725, 553, 956, 631, 7927, 11676, 7578, 630, 12613, 305, 264, 6669, 269, 589, 835, 4458, 6040, 2635, 4816, 8004, 267, 945, 729, 2907, 6972, 543, 16246, 267, 4607, 25750, 585, 2725, 553, 956, 631, 7927, 11676, 7578, 630, 12613, 305, 1070, 22031, 22807, 589, 267, 12794, 655, 17232, 639, 14118, 20044, 2801, 1826, 645, 630, 295, 756, 1070, 2776, 341, 333, 541, 630, 335, 12149, 8205, 1070, 543, 24430, 545, 7578, 630, 577, 1157, 523, 21479, 264, 593, 5988, 476, 1724, 267, 476, 1001, 274, 269, 2334, 10543, 267, 519, 3993, 8068, 519, 4816, 729, 8886, 762, 543, 8611, 880, 269, 2991, 513, 1289, 547, 519, 12963, 1014, 267, 519, 4387, 15695, 16474, 547, 2285, 1200, 570, 2643, 523, 565, 543, 5484, 611, 787, 331, 269, 634, 8611, 4797, 585, 1896, 2395, 267, 543, 593, 519, 10543, 1354, 519, 4816, 779, 16516, 12963, 1014, 3643, 267, 519, 4816, 3459, 2348, 4049, 17465, 269, 2701, 729, 32357, 547, 519, 6595, 4055, 269, 2701, 4682, 883, 13487, 543, 7929, 10654, 267, 543, 7189, 5116, 1200, 593, 513, 5887, 559, 1807, 269, 634, 17465, 543, 13487, 10654, 2451, 519, 4816, 609, 513, 4049, 2634, 5945, 267, 29363, 14527, 267, 9729, 673, 5075, 15717, 267, 959, 684, 5632, 5492, 8205, 630, 869, 4887, 3159, 1070, 543, 8459, 5821, 269, 2991, 3275, 540, 2126, 693, 519, 6413, 267, 519, 4816, 6368, 4682, 1753, 267, 855, 1200, 9124, 2838, 7463, 2564, 1416, 543, 15569, 1472, 519, 9219, 585, 519, 1964, 540, 1200, 1272, 269, 634, 1269, 6200, 2929, 13362, 11175, 786, 2628, 585, 519, 1126, 779, 3586, 1164, 7400, 2564, 1416, 585, 519, 1964, 540, 1200, 1272, 269, 634, 1920, 4607, 513, 26686, 2040, 540, 1269, 272, 2929, 9489, 547, 3382, 519, 7525, 3790, 540, 2564, 12014, 543, 9276, 269, 634, 1964, 786, 581, 6976, 856, 998, 606, 3045, 8462, 936, 519, 1126, 779, 10715, 269, 5213, 1405, 2503, 547, 1224, 713, 1650, 538, 519, 8262, 1912, 12609, 17898, 29107, 9746, 834, 10852, 6894, 257, 2923, 267, 1141, 519, 4013, 14985, 568, 602, 10074, 616, 834, 338, 12522, 543, 2500, 4799, 30560, 1188, 25547, 1161, 15111, 13405, 640, 5623, 547, 30771, 667, 836, 2730, 8493, 553, 559, 28404, 547, 6468, 543, 9093, 12698, 476, 2767, 547, 476, 3393, 454, 294, 731, 553, 559, 6669, 10672, 267, 8585, 1188, 267, 9307, 4505, 713, 3923, 630, 18907, 267, 476, 1001, 279, 264, 602, 519, 772, 2529, 269, 5253, 543, 10684, 10029, 630, 293, 6395, 264, 814, 11292, 873, 513, 834, 26212, 640, 5623, 257, 547, 29343, 519, 5906, 543, 11786, 8493, 553, 559, 476, 280, 6669, 547, 2021, 543, 2367, 267, 6502, 476, 2767, 547, 476, 3393, 269, 634, 8493, 553, 559, 6669, 568, 4867, 9516, 585, 6690, 543, 8695, 267, 6502, 476, 280, 998, 476, 2918, 269, 634, 7662, 676, 8585, 1188, 547, 4228, 922, 2344, 547, 2021, 543, 2367, 267, 6502, 476, 2767, 547, 476, 3393, 267, 543, 519, 15111, 781, 13170, 547, 9886, 621, 513, 13405, 640, 5623, 676, 5239, 476, 277, 267, 476, 1001, 279, 267, 5205, 476, 1015, 1296, 1310, 519, 15111, 13351, 1524, 513, 2147, 7662, 547, 4228, 519, 4587, 4528, 540, 8493, 553, 559, 547, 519, 1482, 2085, 1895, 269, 14755, 519, 7366, 540, 2984, 540, 1762, 2021, 1373, 13676, 610, 1256, 7166, 676, 519, 8493, 553, 559, 6669, 267, 607, 1134, 607, 519, 4031, 7057, 20387, 538, 2477, 3544, 519, 772, 2529, 1421, 519, 3370, 1239, 3823, 8493, 553, 559, 1175, 8952, 3478, 8338, 269, 4024, 519, 15111, 2015, 891, 2090, 538, 8159, 952, 8493, 553, 559, 1058, 581, 9450, 547, 513, 3677, 2551, 286, 9701, 333, 1405, 519, 15111, 3079, 581, 8159, 952, 8493, 553, 559, 1058, 1256, 3251, 538, 519, 2344, 267, 607, 824, 2477, 616, 4098, 547, 2307, 888, 8310, 3923, 630, 9802, 267, 476, 1001, 279, 264, 649, 3370, 513, 1867, 689, 519, 6669, 6725, 4123, 8313, 267, 674, 15127, 1912, 12609, 267, 602, 8585, 1188, 781, 6455, 713, 1032, 941, 25588, 2883, 23004, 267, 5097, 1813, 547, 922, 13675, 883, 519, 3624, 2344, 585, 922, 1283, 5498, 29818, 8493, 553, 559, 19690, 6669, 269, 674, 15127, 1912, 12609, 4080, 693, 602, 942, 602, 519, 8493, 553, 559, 6669, 729, 3728, 13652, 22486, 585, 13170, 883, 519, 3624, 2344, 281, 834, 299, 622, 2063, 3923, 267, 519, 4457, 15111, 11292, 8493, 553, 559, 476, 280, 513, 19585, 13170, 1152, 8370, 2395, 883, 513, 2689, 1701, 3767, 267, 674, 15127, 1912, 12609, 568, 8989, 602, 8493, 553, 559, 781, 10343, 883, 519, 3624, 2344, 814, 3812, 8216, 5479, 320, 2231, 563, 30560, 1188, 779, 674, 657, 600, 1314, 17793, 644, 23227, 919, 1215, 8262, 1912, 12609, 543, 15509, 1975, 514, 10803, 547, 590, 749, 769, 324, 8997, 17261, 1149, 543, 24391, 454, 2005, 814, 1044, 936, 513, 8717, 2094, 594, 3357, 547, 519, 20185, 602, 519, 3003, 3924, 540, 4915, 1185, 1044, 536, 14781, 9926, 1194, 676, 519, 18259, 4947, 689, 519, 8262, 1912, 12609, 3075, 543, 6669, 20536, 267, 8585, 1188, 1299, 7577, 267, 602, 922, 865, 10777, 968, 325, 847, 675, 1790, 516, 1203, 894, 892, 3075, 674, 657, 600, 1314, 1185, 1219, 571, 24231, 721, 7189, 543, 938, 2550, 676, 7301, 569, 19101, 513, 968, 2004, 260, 12117, 2557, 892, 538, 519, 6604, 540, 5642, 18655, 538, 11560, 13449, 545, 270, 739, 324, 17881, 5328, 2021, 269, 1635, 3257, 513, 2370, 2979, 267, 594, 6956, 602, 519, 9237, 5168, 540, 519, 2339, 729, 602, 2550, 945, 3576, 519, 3075, 585, 2185, 1296, 1185, 513, 1295, 4593, 2544, 476, 272, 268, 273, 260, 6207, 1981, 5786, 630, 288, 2752, 264, 538, 519, 11841, 540, 18655, 267, 799, 568, 513, 1454, 811, 10853, 4137, 602, 8585, 1188, 267, 1373, 513, 1914, 24403, 11769, 602, 568, 20916, 547, 2995, 3368, 2389, 337, 3578, 338, 610, 30739, 6013, 267, 8359, 711, 547, 946, 538, 922, 22099, 269, 898, 568, 513, 1249, 602, 1373, 5168, 995, 538, 519, 3075, 610, 6669, 2872, 568, 606, 15641, 2939, 547, 9513, 1587, 267, 1317, 789, 1131, 581, 16153, 1154, 789, 941, 9513, 513, 561, 748, 344, 267, 30081, 267, 5266, 23696, 610, 5906, 3075, 610, 6669, 269, 769, 824, 1913, 267, 8262, 1912, 12609, 270, 19136, 309, 3147, 710, 568, 1869, 6707, 536, 14781, 9926, 1782, 721, 7189, 543, 2550, 630, 553, 1134, 607, 8262, 9012, 267, 519, 15509, 267, 519, 15111, 267, 519, 589, 7246, 267, 519, 589, 4338, 267, 519, 14905, 267, 519, 21191, 17025, 267, 519, 22078, 295, 267, 519, 715, 8379, 295, 267, 9931, 9335, 543, 938, 14761, 264, 609, 519, 2025, 632, 21082, 8671, 545, 540, 1210, 3448, 1981, 5786, 7194, 827, 6669, 12117, 2864, 982, 25473, 10213, 721, 519, 811, 5168, 995, 6207, 1981, 5786, 5515, 8164, 789, 616, 12902, 856, 741, 21777, 1107, 543, 5051, 796, 3530, 27522, 1107, 10074, 269, 4475, 267, 594, 25058, 519, 14230, 540, 713, 6241, 547, 8989, 930, 32461, 689, 519, 4950, 543, 1439, 609, 930, 1806, 540, 3370, 2090, 689, 29752, 3173, 945, 723, 8854, 909, 1996, 519, 3075, 2872, 543, 4080, 519, 1271, 7194, 602, 649, 1058, 782, 3747, 547, 917, 950, 513, 6669, 630, 528, 3075, 264, 568, 1373, 4421, 547, 721, 563, 763, 14453, 6725, 4123, 8313, 267, 674, 15127, 1912, 12609, 267, 9307, 713, 3923, 630, 9802, 476, 1001, 279, 264, 602, 8585, 1188, 814, 10726, 9931, 9335, 6788, 585, 741, 8493, 553, 559, 6669, 6455, 1282, 519, 1101, 10116, 540, 476, 1001, 279, 267, 8236, 476, 2190, 260 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 723, 9275, 538, 2241, 22059, 610, 3318, 1860, 566, 267, 723, 972, 514, 2944, 6138, 543, 519, 9443, 1390, 5945, 563, 307, 749, 2725, 1215, 898, 661, 2738, 281, 1323, 4828, 538, 476, 2412, 5999, 910, 28632, 7160, 676, 4406, 4997, 30511, 22088, 267, 13744, 10557, 18722, 563, 12606, 621, 2899, 543, 1224, 621, 593, 707, 28632, 3926, 267, 7193, 267, 11436, 610, 14342, 269, 2422, 2934, 899, 1433, 12201, 267, 4063, 2921, 543, 10223, 1247, 2542, 15681, 2725, 1215, 898, 661, 2738, 281, 1323, 4828, 538, 476, 2412, 5999, 269, 0, 314, 12103, 1506, 339, 268, 1676, 23378, 270, 476, 16659, 2742, 22688, 339, 562, 16745, 337, 1315, 454, 30537, 6440, 572, 1496, 23932, 22271, 7795, 3910, 1315, 16659, 2993, 1990, 16745, 32551, 476, 6942, 279, 1700, 3422, 279, 267, 22341, 6046, 21997, 563, 3951, 24912, 589, 654, 16704, 5508, 5990, 667, 17751, 19532, 22003, 645, 2177, 3198, 313, 288, 2336, 1607, 2842, 6420, 540, 1913, 786, 1118, 596, 3638, 609, 1702, 269, 17719, 707, 3965, 593, 519, 1913, 689, 5147, 476, 2767, 547, 4864, 476, 273, 2336, 9223, 476, 272, 540, 476, 278, 454, 1432, 1281, 834, 2675, 2660, 16591, 257, 1611, 888, 320, 1268, 945, 6411, 607, 1498, 646, 610, 1352, 6487, 3388, 543, 945, 14962, 525, 519, 8369, 267, 8292, 267, 610, 10372, 540, 1866, 563, 320, 1268, 945, 22939, 22590, 610, 2724, 3063, 341, 698, 14688, 610, 3653, 2685, 282, 6108, 628, 337, 3424, 563, 320, 1134, 10784, 1549, 539, 855, 14255, 633, 543, 1419, 13546, 977, 783, 1514, 610, 2797, 6963, 518, 11053, 288, 17395, 5990, 19532, 22003, 9215, 674, 18853, 744, 7473, 454, 24552, 7404, 2725, 527, 1676, 454, 291, 5315, 2593, 1133, 30457, 9122, 593, 519, 15932, 5600, 1133, 30457, 9218, 267, 9736, 15932, 5600, 267, 5549, 269, 476, 1708, 271, 454, 23873, 9218, 8847, 585, 2725, 527, 1676, 454, 270, 630, 23389, 476, 16659, 2742, 527, 333, 16745, 337, 264, 1315, 454, 299, 1047, 630, 16659, 2993, 27474, 345, 16745, 1040, 476, 6942, 279, 1700, 3422, 279, 267, 22341, 6046, 21997, 269, 2060, 670, 23167, 267, 1352, 4362, 1486, 716, 514, 1756, 630, 4489, 279, 1070, 543, 789, 7152, 609, 674, 269, 5899, 817, 10458, 519, 31612, 540, 20879, 454, 31890, 2296, 9218, 910, 13159, 1299, 1133, 30457, 476, 1001, 273, 7913, 9990, 9736, 5261, 19811, 25860, 1299, 3213, 269, 13456, 269, 476, 3192, 280, 267, 476, 2735, 277, 9736, 22489, 31890, 23255, 476, 1960, 279, 267, 476, 1220, 271, 267, 476, 1220, 274, 267, 476, 1220, 276, 267, 476, 1220, 277, 267, 476, 1220, 278, 267, 476, 1220, 280, 267, 476, 1001, 273, 454, 26199, 8847, 585, 2725, 527, 1676, 454, 314, 544, 13682, 339, 12664, 333, 16745, 337, 23378, 288, 755, 6929, 23899, 16528, 21997, 945, 8329, 547, 519, 1101, 6436, 540, 6046, 31612, 269, 4173, 7418, 547, 519, 2361, 540, 6046, 6323, 3366, 547, 519, 1646, 540, 519, 10570, 10514, 543, 6046, 1648, 563, 763, 1977, 11595, 10378, 3163, 9218, 14645, 9736, 476, 1001, 272, 269, 15618, 676, 670, 32080, 631, 858, 4802, 670, 2117, 22620, 14539, 7577, 269, 2353, 2924, 11603, 269, 0, 2419, 4474, 519, 8006, 540, 513, 6174, 779, 12483, 666, 20427, 1860, 1169, 2460, 540, 922, 2773, 267, 689, 10231, 267, 547, 29584, 267, 547, 4492, 4346, 269, 3245, 835, 3665, 547, 519, 1985, 267, 513, 6174, 666, 2744, 610, 10690, 607, 1454, 607, 476, 1839, 2600, 540, 922, 4492, 4346, 267, 1175, 676, 4657, 12483, 8006, 269, 1703, 616, 513, 1297, 540, 2188, 602, 666, 1860, 713, 281, 634, 2599, 779, 18165, 7455, 267, 6174, 2597, 267, 7098, 19392, 543, 575, 8960, 563, 763, 1034, 2442, 10206, 827, 875, 12483, 2450, 5540, 4492, 4346, 568, 602, 513, 12483, 609, 513, 3677, 8006, 786, 3382, 811, 2666, 829, 4838, 267, 3976, 4227, 2949, 575, 8960, 543, 4929, 519, 2599, 547, 2196, 693, 2539, 26201, 829, 8792, 630, 14641, 300, 1040, 2368, 8263, 2539, 681, 15014, 1226, 919, 609, 1447, 4492, 1031, 547, 2951, 519, 1482, 3845, 269, 9282, 713, 2856, 1281, 723, 922, 26350, 543, 568, 3020, 538, 930, 2665, 267, 519, 1198, 568, 15991, 8471, 543, 9775, 7494, 4470, 2390, 519, 6174, 543, 519, 2333, 610, 6175, 538, 8006, 269, 0, 310, 23808, 5058, 307, 2177, 267, 667, 5861, 269, 1107, 4317, 4600, 5129, 513, 1883, 1909, 538, 519, 476, 3422, 274, 4728, 593, 6115, 585, 22868, 543, 15213, 1141, 3220, 269, 9410, 13162, 3751, 12789, 269, 1500, 1010, 8978, 968, 296, 5620, 513, 14134, 892, 4633, 563, 2690, 3236, 267, 1514, 960, 24069, 2817, 7027, 540, 27740, 6468, 5518, 16910, 18333, 27551, 543, 2817, 12124, 13477, 5518, 18724, 2284, 631, 269, 8479, 12789, 269, 5280, 1544, 519, 4728, 593, 6115, 563, 6546, 15292, 267, 799, 8179, 3160, 2126, 585, 3979, 4892, 267, 729, 835, 540, 519, 4102, 23405, 538, 772, 2529, 269, 1686, 269, 898, 5280, 27647, 1125, 1489, 585, 6837, 547, 1780, 1079, 1883, 4773, 540, 9086, 602, 1514, 4600, 6462, 1107, 519, 476, 3422, 275, 6406, 7126, 2920, 543, 476, 3422, 276, 966, 7627, 7126, 2920, 563, 763, 4182, 786, 29428, 519, 476, 2004, 628, 16683, 540, 519, 15292, 593, 4864, 476, 2190, 609, 519, 2817, 11059, 547, 7464, 1125, 519, 14134, 4728, 563, 5629, 1586, 267, 519, 2817, 5948, 540, 4317, 20709, 7028, 713, 2680, 543, 13922, 621, 786, 948, 5000, 519, 2197, 547, 3136, 547, 2661, 909, 547, 519, 3853, 540, 519, 476, 3422, 274, 2680, 563, 11693, 519, 2621, 540, 519, 2063, 1614, 3275, 267, 972, 568, 1869, 1454, 547, 798, 547, 8275, 3220, 269, 3751, 779, 5326, 269, 634, 772, 2529, 269, 10966, 7040, 5063, 1500, 513, 23892, 15194, 602, 1223, 12517, 2800, 17037, 685, 2924, 543, 20038, 269, 7730, 310, 568, 2324, 609, 824, 3906, 547, 1489, 9086, 602, 1131, 4368, 2042, 602, 8507, 689, 713, 15194, 563, 13480, 1590, 849, 581, 2944, 593, 824, 2152, 540, 2956, 547, 1514, 4600, 267, 1519, 28056, 21109, 267, 7292, 27992, 267, 11776, 6963, 267, 7803, 543, 11174, 5126, 15024, 267, 4600, 685, 2924, 543, 513, 2713, 13230, 267, 543, 3160, 2126, 585, 2021, 543, 2818, 540, 519, 10349, 2146, 563, 2793, 14684, 2712, 2471, 596, 547, 1489, 519, 2817, 11059, 547, 7464, 1125, 519, 14134, 4728, 593, 4864, 269, 1656, 649, 1616, 596, 547, 960, 609, 721, 593, 519, 29065, 1377, 543, 25422, 538, 3275, 6619, 547, 946, 519, 11610, 689, 713, 2680, 547, 1489, 9086, 543, 6042, 547, 2232, 1514, 2152, 602, 616, 1271, 547, 938, 3924, 563, 258, 1948, 1948, 454, 763, 2817, 5948, 540, 4317, 20709, 630, 2793, 14684, 1070, 538, 6115, 267, 9823, 267, 568, 519, 4102, 15376, 3919, 540, 3318, 1514, 4600, 609, 5176, 476, 9610, 267, 1822, 2818, 269, 898, 8992, 267, 10953, 267, 543, 14014, 519, 2259, 540, 1514, 960, 543, 1514, 4600, 269, 7730, 310, 849, 11394, 547, 3986, 519, 1134, 5630, 540, 2043, 267, 3885, 267, 543, 2950, 998, 922, 14223, 269, 0, 14240, 540, 9208, 269, 12791, 540, 9208, 269, 14271, 11618, 540, 9208, 454, 2080, 596, 786, 1265, 835, 610, 811, 3137, 538, 2296, 585, 519, 2262, 9208, 269, 4746, 538, 519, 5377, 2451, 540, 519, 2985, 1896, 2694, 540, 28957, 3817, 1644, 547, 519, 2262, 9208, 543, 267, 540, 1576, 267, 9208, 19655, 543, 593, 519, 1318, 2592, 1644, 547, 519, 2262, 9208, 563, 14240, 540, 9208, 454, 20598, 9515, 628, 2701, 628, 267, 562, 563, 763, 851, 540, 513, 726, 578, 799, 3785, 18746, 9944, 519, 11237, 2676, 1721, 8066, 519, 2671, 543, 824, 2324, 2694, 282, 4534, 849, 1572, 454, 20598, 267, 610, 2022, 269, 9208, 24092, 5776, 257, 731, 267, 513, 563, 272, 269, 9861, 267, 3413, 1800, 267, 610, 2687, 609, 267, 513, 3044, 585, 454, 1260, 1706, 2581, 543, 10385, 282, 607, 267, 3044, 942, 282, 3044, 454, 30135, 543, 3800, 282, 513, 3044, 6392, 607, 547, 562, 27658, 454, 614, 916, 282, 3044, 4154, 610, 8988, 563, 273, 269, 9747, 281, 11109, 513, 6444, 543, 8628, 1871, 282, 607, 2676, 20598, 1568, 538, 1686, 282, 3044, 4589, 563, 5416, 264, 3502, 6462, 676, 267, 610, 3728, 2989, 547, 267, 513, 3774, 282, 607, 267, 3044, 454, 6357, 264, 3502, 540, 519, 21221, 2186, 282, 607, 267, 513, 3044, 15090, 3529, 563, 24092, 23156, 267, 9208, 15378, 269, 6423, 896, 15443, 548, 267, 543, 454, 24092, 3070, 269, 630, 290, 1335, 4700, 6423, 9208, 1242, 3070, 2676, 30547, 540, 9208, 689, 28957, 454, 1729, 281, 2051, 2293, 267, 4441, 454, 663, 2768, 976, 9208, 454, 263, 4148, 698, 1070, 513, 1826, 540, 9206, 1031, 585, 2123, 8446, 9208, 454, 263, 5471, 14347, 1070, 606, 1843, 2483, 268, 634, 9208, 454, 1729, 281, 634, 9208, 454, 6357, 663, 1070, 606, 967, 773, 454, 13702, 6512, 689, 24144, 267, 14822, 454, 3799, 334, 767, 1070, 513, 476, 4350, 275, 3209, 454, 2421, 519, 22341, 5856, 454, 24336, 267, 849, 1634, 454, 553, 7073, 9208, 454, 24336, 267, 610, 3274, 454, 300, 663, 18288, 267, 568, 513, 3044, 3099, 454, 268, 769, 7194, 267, 519, 3044, 11539, 454, 529, 513, 2268, 454, 1993, 519, 2179, 454, 1993, 513, 1305, 540, 2418, 269, 589, 1970, 3044, 11539, 6920, 454, 268, 634, 3044, 5470, 454, 263, 10345, 264, 540, 513, 18802, 454, 263, 17141, 606, 7447, 454, 1993, 513, 9936, 264, 568, 519, 3044, 11539, 454, 1993, 922, 10386, 3892, 454, 528, 606, 7447, 454, 268, 9208, 25307, 454, 529, 513, 4922, 9275, 454, 845, 540, 519, 570, 756, 2045, 4654, 454, 7474, 814, 1082, 1455, 8017, 454, 5976, 519, 4633, 454, 1993, 700, 13757, 320, 267, 606, 3331, 506, 6874, 338, 836, 630, 23338, 25307, 264, 13172, 2483, 268, 589, 4154, 3044, 454, 529, 513, 13075, 1062, 454, 1492, 3044, 2804, 454, 22780, 540, 2272, 454, 517, 513, 6378, 7274, 454, 1993, 4154, 269, 634, 4154, 3044, 454, 302, 559, 3213, 269, 5549, 269, 729, 606, 1977, 454, 11798, 6721, 267, 24317, 267, 17975, 267, 6725, 454, 514, 476, 6942, 271, 267, 676, 3627, 667, 269, 18842, 651, 325, 11839, 454, 268, 9208, 15873, 1229, 454, 303, 9448, 568, 513, 3703, 29505, 12948, 454, 663, 2883, 2533, 2754, 2212, 32483, 1229, 454, 514, 5507, 267, 4789, 269, 898, 13333, 454, 268, 634, 4634, 532, 9208, 454, 263, 10193, 519, 5507, 4634, 532, 9208, 454, 264, 568, 513, 2199, 454, 2908, 4944, 1653, 267, 3370, 11728, 454, 514, 9184, 331, 1355, 3898, 454, 514, 5507, 269, 4595, 2483, 13146, 590, 792, 2583, 4429, 16665, 2592, 547, 9208, 0, 31528, 14544, 17127, 1767, 267, 968, 10048, 568, 676, 2470, 513, 1514, 3662, 5608, 543, 2729, 538, 2486, 609, 10103, 563, 11328, 9146, 1851, 1004, 543, 4687, 741, 4606, 609, 1142, 824, 2306, 1480, 2486, 811, 4190, 563, 14549, 7919, 723, 2938, 1082, 22705, 543, 17498, 538, 741, 3460, 540, 4720, 543, 723, 15068, 269, 1809, 5063, 267, 835, 14686, 3644, 2443, 5046, 268, 866, 2443, 814, 4625, 11074, 519, 8647, 540, 938, 2486, 543, 814, 12936, 519, 1272, 540, 1142, 1367, 538, 930, 1259, 563, 4913, 267, 938, 2486, 3085, 1406, 1599, 8449, 585, 782, 1004, 543, 267, 4061, 267, 621, 568, 2731, 1271, 547, 1174, 799, 3296, 540, 938, 2486, 568, 4299, 519, 1034, 865, 602, 938, 2229, 543, 3540, 7239, 666, 960, 609, 811, 4398, 563, 6524, 3843, 547, 1174, 875, 519, 5046, 268, 866, 6855, 814, 12936, 938, 2486, 267, 649, 1058, 917, 513, 2370, 3787, 827, 713, 2068, 563, 2026, 829, 519, 2622, 2657, 25944, 630, 21766, 1070, 20840, 822, 21905, 616, 513, 1804, 1920, 540, 8290, 799, 949, 2014, 4576, 538, 2831, 610, 3425, 269, 769, 3425, 267, 1896, 8318, 822, 21905, 616, 1634, 547, 2014, 7929, 5563, 267, 8151, 689, 1455, 4411, 547, 811, 4049, 3676, 971, 607, 519, 5664, 5101, 28614, 6794, 630, 300, 8991, 264, 543, 27275, 26590, 28614, 15540, 630, 306, 12678, 1916, 763, 1034, 5063, 4362, 11452, 3123, 5046, 268, 866, 269, 898, 568, 606, 11763, 2068, 3361, 676, 519, 1034, 5063, 4362, 8833, 269, 901, 1007, 3644, 543, 2068, 941, 7164, 1354, 519, 12176, 3459, 538, 18961, 7315, 267, 3624, 267, 538, 5412, 476, 1001, 280, 563, 26542, 268, 866, 568, 1631, 513, 6855, 7133, 1082, 2477, 11451, 563, 2690, 811, 1344, 267, 5225, 3277, 547, 519, 14959, 3896, 563, 2691, 594, 729, 538, 1250, 2022, 3766, 571, 706, 566, 693, 570, 3041, 306, 267, 29180, 267, 4974, 1514, 2257, 267, 594 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1970, 538, 824, 5567, 267, 799, 666, 12517, 1860, 707, 1072, 269, 2311, 519, 824, 3665, 267, 513, 1617, 574, 11669, 13362, 2872, 568, 5059, 593, 10213, 2021, 602, 1373, 3514, 1797, 1373, 6094, 543, 602, 2732, 532, 568, 851, 540, 1434, 6484, 269, 0, 14722, 538, 519, 27397, 7256, 3148, 616, 1305, 547, 14556, 1518, 741, 9316, 538, 513, 19915, 547, 15063, 741, 4262, 689, 513, 2039, 540, 2825, 2042, 543, 2490, 621, 883, 513, 4262, 799, 568, 2111, 547, 30396, 1683, 513, 2039, 540, 5370, 543, 2533, 547, 519, 6634, 540, 1004, 2713, 593, 610, 2282, 4429, 14722, 538, 519, 27397, 7256, 3148, 616, 1305, 547, 14556, 1518, 741, 9316, 538, 513, 19915, 547, 15063, 741, 4262, 689, 513, 2039, 540, 2825, 2042, 543, 2490, 621, 883, 513, 4262, 799, 568, 2111, 547, 30396, 1683, 513, 2039, 540, 5370, 543, 2533, 547, 519, 6634, 540, 1004, 2713, 593, 610, 2282, 922, 24528, 269, 645, 2177, 4785, 267, 606, 9167, 30845, 1382, 1788, 568, 513, 1101, 1900, 538, 713, 9316, 5397, 563, 299, 22075, 547, 519, 3345, 7256, 1152, 676, 519, 7522, 2269, 527, 540, 15576, 974, 326, 520, 267, 519, 27397, 7256, 568, 3927, 606, 24654, 4262, 543, 607, 971, 568, 3226, 7925, 547, 2825, 2042, 267, 1317, 4376, 602, 4991, 883, 519, 4262, 786, 4440, 3251, 972, 585, 936, 476, 1789, 1296, 563, 763, 7887, 2825, 2591, 6849, 519, 27397, 616, 552, 583, 5268, 1709, 4611, 689, 7050, 5567, 1373, 18233, 883, 519, 4262, 543, 5533, 609, 13818, 6878, 689, 4853, 2238, 543, 3560, 269, 6145, 1034, 540, 519, 15798, 540, 519, 1158, 267, 922, 3165, 13632, 616, 849, 7092, 607, 513, 1267, 540, 936, 1922, 5109, 267, 543, 922, 9265, 568, 538, 7771, 563, 763, 13438, 540, 519, 27397, 7256, 547, 891, 2042, 814, 1044, 1634, 585, 513, 1279, 942, 267, 543, 538, 476, 3192, 275, 519, 2477, 4478, 621, 9896, 519, 13482, 585, 519, 4027, 540, 519, 13149, 5113, 540, 519, 27397, 7256, 267, 849, 1634, 607, 519, 670, 1564, 1074, 328, 13482, 610, 670, 5085, 26376, 269, 901, 9316, 568, 782, 519, 811, 7415, 950, 835, 15109, 602, 713, 729, 1282, 519, 12019, 2782, 563, 303, 11823, 9316, 936, 519, 4262, 814, 1044, 8476, 607, 519, 2477, 1472, 621, 7930, 8678, 519, 9167, 267, 28285, 538, 476, 1220, 275, 609, 519, 1569, 542, 540, 6480, 8205, 267, 4678, 16129, 267, 26403, 807, 543, 12996, 269, 2060, 519, 9868, 540, 1079, 2110, 21018, 540, 6739, 5032, 267, 519, 4262, 1631, 6013, 7357, 1369, 519, 9167, 563, 2467, 568, 849, 513, 1279, 1686, 540, 3621, 9316, 538, 519, 27397, 3148, 267, 4358, 538, 476, 5002, 273, 609, 519, 5137, 540, 519, 4139, 7027, 585, 519, 16709, 540, 519, 7256, 630, 2975, 2464, 1040, 634, 1739, 5756, 4718, 519, 10661, 540, 811, 3621, 12205, 267, 971, 607, 519, 27397, 13149, 4437, 5505, 543, 519, 27397, 7256, 2983, 5505, 269, 769, 2487, 1296, 9167, 3785, 723, 3177, 1776, 5943, 585, 4745, 1382, 3785, 538, 519, 3148, 563, 3086, 4566, 616, 7192, 2393, 547, 3715, 513, 4745, 27397, 7256, 1382, 10872, 267, 543, 519, 9167, 30845, 645, 2177, 4785, 1788, 568, 513, 1101, 1900, 2509, 713, 269, 634, 645, 2177, 4785, 1788, 6770, 1927, 519, 1382, 7616, 8041, 689, 519, 2477, 4478, 519, 4262, 267, 1519, 6576, 267, 609, 519, 2832, 540, 2870, 519, 2175, 585, 513, 1455, 1382, 16786, 269, 634, 1788, 13922, 547, 2744, 7616, 585, 519, 10872, 896, 519, 2370, 1031, 9137, 476, 15433, 563, 262, 20684, 476, 15433, 568, 1175, 835, 540, 519, 7366, 540, 4930, 799, 10038, 519, 9316, 540, 519, 16588, 2276, 267, 543, 621, 1360, 3274, 3081, 602, 952, 519, 16588, 2276, 3715, 513, 1382, 10872, 267, 1287, 519, 3864, 7991, 666, 7119, 10086, 6045, 3220, 918, 9820, 320, 23951, 517, 523, 540, 519, 9142, 540, 18940, 543, 519, 645, 2177, 4785, 5741, 18509, 13541, 269, 1412, 2005, 568, 513, 1360, 25864, 1031, 7616, 6293, 543, 568, 1360, 1454, 538, 1899, 609, 713, 2856, 540, 519, 3864, 3194, 9351, 543, 25640, 3864, 1382, 25692, 1103, 519, 27397, 7256, 1382, 1858, 267, 782, 519, 10283, 7616, 8041, 786, 2322, 2724, 883, 513, 5691, 1494, 543, 7125, 585, 18747, 786, 581, 3370, 2066, 519, 3148, 269, 589, 2582, 3498, 5650, 786, 1611, 602, 782, 1788, 18747, 786, 581, 24565, 676, 513, 2582, 6268, 8470, 269, 634, 1788, 786, 1265, 856, 16172, 952, 922, 3498, 585, 9137, 476, 15433, 7616, 814, 1044, 3811, 563, 8170, 1576, 621, 568, 711, 2614, 547, 1175, 4163, 856, 1382, 282, 519, 2164, 723, 547, 581, 28078, 547, 3609, 15670, 269, 1412, 14722, 723, 547, 1174, 602, 741, 1382, 814, 547, 581, 3730, 585, 930, 2601, 10086, 29499, 3220, 23951, 517, 523, 267, 15663, 602, 3744, 1058, 581, 9415, 547, 1711, 2645, 799, 666, 581, 4843, 547, 3375, 15670, 7713, 1018, 519, 6364, 540, 513, 1978, 2359, 3375, 786, 581, 269, 2701, 524, 2572, 519, 15096, 2464, 262, 5796, 593, 10068, 9889, 553, 607, 513, 1434, 1383, 540, 875, 3744, 666, 1683, 1382, 2861, 5796, 547, 3609, 15670, 563, 7804, 23951, 517, 523, 814, 1044, 8185, 3238, 538, 519, 13539, 540, 513, 10554, 593, 713, 1360, 1641, 799, 568, 1373, 4371, 538, 670, 1564, 1074, 328, 896, 519, 513, 22273, 1182, 540, 519, 25227, 9167, 24164, 269, 634, 10554, 6663, 547, 6542, 875, 1382, 666, 1489, 519, 4027, 543, 2359, 540, 519, 7286, 1604, 267, 543, 3220, 23951, 517, 523, 13922, 547, 1294, 5717, 538, 519, 10554, 10689, 1063, 3744, 543, 3609, 15670, 563, 27407, 267, 3220, 23951, 517, 523, 13922, 602, 519, 27397, 7256, 786, 4196, 607, 513, 2203, 540, 875, 547, 3095, 2257, 543, 3609, 547, 2936, 519, 3864, 13149, 15613, 269, 1412, 1607, 1223, 2731, 581, 513, 2186, 540, 12681, 17431, 1858, 1141, 649, 666, 1397, 267, 585, 1383, 547, 519, 2477, 540, 519, 11335, 267, 4563, 7256, 543, 3345, 7256, 267, 875, 547, 4308, 609, 891, 1919, 10086, 1352, 29499, 269, 1412, 28646, 649, 786, 1118, 930, 9073, 267, 6148, 649, 786, 1118, 930, 1967, 2984, 267, 855, 782, 713, 568, 1945, 602, 1866, 666, 1451, 827, 543, 649, 616, 2731, 8348, 547, 16175, 12840, 543, 1397, 1018, 649, 616, 3257, 9538, 0, 763, 2817, 13571, 729, 513, 2484, 28878, 2797, 5428, 538, 16848, 602, 25577, 1282, 519, 476, 4350, 271, 338, 269, 2311, 922, 8445, 519, 1895, 1185, 607, 1082, 607, 476, 280, 267, 1822, 2818, 267, 2687, 547, 519, 8466, 9218, 540, 16848, 267, 543, 834, 16673, 723, 1185, 513, 15376, 540, 476, 1839, 267, 1822, 610, 865, 2580, 2687, 547, 519, 17363, 654, 625, 5460, 531, 4741, 563, 347, 22117, 518, 1475, 295, 753, 966, 517, 342, 2643, 543, 21321, 560, 645, 1221, 1069, 2335, 630, 4350, 274, 268, 4350, 275, 10245, 305, 6504, 7009, 928, 630, 4350, 275, 268, 4350, 279, 994, 27144, 18578, 2401, 630, 4350, 279, 268, 3707, 271, 994, 347, 6124, 4944, 1653, 1475, 257, 32056, 661, 16014, 928, 29817, 523, 257, 2008, 763, 5428, 3459, 1272, 10838, 513, 1297, 540, 3181, 908, 15731, 693, 661, 8025, 2098, 584, 747, 267, 1141, 24431, 30146, 267, 18230, 18541, 543, 1489, 585, 2093, 2147, 547, 1346, 2663, 7550, 538, 519, 7292, 3609, 540, 13303, 5125, 1185, 1831, 2442, 1851, 930, 540, 519, 1762, 19174, 269, 589, 1297, 540, 891, 2516, 630, 718, 540, 799, 1071, 268, 6016, 730, 538, 513, 10690, 10480, 3130, 264, 941, 18005, 4547, 1927, 676, 7917, 18578, 2401, 538, 476, 4350, 271, 547, 1106, 519, 3026, 826, 13571, 4352, 713, 1895, 729, 711, 4628, 8149, 547, 3673, 1143, 269, 589, 811, 9097, 1895, 267, 896, 519, 5718, 540, 17713, 966, 517, 342, 2643, 267, 13264, 2476, 538, 519, 15489, 540, 476, 4350, 271, 547, 3715, 519, 2817, 13571, 267, 799, 6322, 547, 4228, 922, 4238, 3544, 519, 6280, 563, 22873, 6053, 519, 2817, 13571, 1705, 711, 1332, 2484, 3544, 519, 32604, 540, 519, 2160, 855, 4166, 519, 5428, 11356, 267, 14216, 661, 16014, 928, 29817, 523, 630, 763, 11635, 645, 3336, 1070, 2968, 4922, 1224, 543, 922, 24431, 655, 12792, 5048, 1336, 606, 5304, 269, 932, 8529, 676, 21321, 560, 645, 1221, 1069, 2335, 267, 519, 1895, 4810, 2208, 543, 538, 4989, 476, 4350, 274, 4646, 606, 19710, 609, 519, 3026, 826, 13571, 799, 267, 896, 519, 5718, 540, 18578, 2401, 267, 6754, 18999, 543, 17713, 744, 12317, 2401, 267, 1185, 3294, 9097, 2213, 543, 1831, 811, 1930, 547, 3673, 1143, 269, 634, 2817, 13571, 12842, 922, 11218, 519, 1739, 3923, 4352, 519, 3026, 826, 13571, 5718, 3533, 3576, 5279, 540, 519, 5916, 3350, 267, 609, 681, 6504, 7009, 928, 6932, 607, 28579, 269, 2506, 559, 590, 1180, 699, 1375, 518, 267, 513, 5449, 4759, 540, 519, 18230, 4937, 16065, 267, 729, 513, 7986, 10584, 543, 9070, 663, 626, 540, 519, 2817, 13571, 693, 713, 942, 269, 634, 5428, 4797, 547, 1332, 543, 4166, 4465, 16295, 593, 2098, 6686, 5341, 14643, 267, 607, 1134, 607, 519, 1489, 540, 1134, 8153, 18230, 5830, 540, 519, 942, 267, 971, 607, 32021, 984, 5576, 3530, 1676, 269, 769, 782, 789, 4371, 476, 1015, 16295, 593, 2098, 584, 747, 18513, 14643, 1739, 519, 5181, 476, 4350, 274, 9550, 269, 21321, 560, 15182, 14551, 339, 267, 519, 5428, 781, 12438, 518, 538, 519, 3345, 8862, 652, 267, 2451, 4166, 1310, 713, 1310, 606, 4835, 15539, 855, 519, 1847, 1185, 1100, 1764, 593, 519, 2208, 540, 519, 13571, 267, 609, 513, 5428, 11356, 267, 12603, 13571, 267, 3964, 4166, 19952, 269, 1635, 476, 4350, 276, 519, 5428, 10645, 476, 1015, 267, 1822, 2818, 563, 5445, 1705, 711, 2097, 856, 4625, 538, 12797, 540, 1022, 12512, 543, 3079, 8179, 547, 26595, 4436, 267, 3943, 543, 7969, 10529, 538, 513, 1455, 18230, 3961, 630, 16269, 9738, 6402, 609, 513, 5634, 14564, 327, 2484, 1318, 1895, 267, 4352, 519, 2817, 13571, 1705, 711, 5859, 10838, 519, 14564, 327, 1040, 16480, 741, 1489, 729, 811, 610, 1447, 28025, 16876, 547, 4436, 6741, 5474, 267, 609, 824, 2516, 16116, 909, 519, 1489, 540, 3673, 626, 2987, 743, 1441, 17037, 538, 519, 824, 10409, 2516, 630, 4462, 542, 2817, 324, 585, 519, 3943, 543, 6181, 320, 9294, 1308, 324, 570, 545, 4042, 585, 32228, 2103, 1040, 16828, 789, 6603, 22581, 609, 519, 824, 2516, 543, 14460, 5859, 532, 538, 1875, 8566, 9007, 2127, 15587, 269, 634, 5428, 781, 1292, 1489, 3490, 729, 538, 5576, 3530, 27346, 523, 1141, 621, 6591, 16295, 538, 519, 2199, 14643, 267, 607, 1134, 607, 1528, 532, 513, 2582, 4759, 540, 519, 2817, 13909, 538, 476, 4350, 276, 269, 634, 10160, 729, 4371, 676, 7917, 18578, 2401, 563, 763, 5428, 3357, 896, 519, 5718, 540, 681, 6504, 7009, 928, 538, 476, 4350, 275, 543, 3459, 547, 11654, 513, 811, 16175, 13303, 16809, 267, 538, 5329, 609, 7009, 928, 781, 2123, 4978, 269, 14171, 5413, 540, 519, 1463, 9111, 2203, 1031, 538, 18230, 6214, 519, 2817, 13571, 7142, 513, 22275, 31558, 593, 513, 13338, 17203, 538, 476, 4350, 276, 602, 8179, 547, 2699, 30472, 519, 1062, 540, 2229, 593, 811, 28929, 267, 7292, 543, 28974, 3515, 269, 634, 11556, 729, 8185, 17204, 563, 763, 13571, 4810, 7771, 607, 3673, 1143, 3357, 547, 581, 27537, 538, 519, 2923, 607, 4956, 569, 834, 684, 4149, 342, 1170, 257, 543, 972, 729, 513, 2442, 1394, 31988, 1996, 519, 3350, 269, 769, 519, 7137, 928, 23632, 267, 519, 5428, 5185, 10997, 602, 634, 16257, 338, 540, 519, 661, 671, 619, 540, 27098, 26991, 18230, 1876, 1996, 25848, 2940, 12326, 269, 6736, 891, 22303, 519, 2817, 13571, 2746, 539, 676, 2182, 2287, 741, 1935, 2417, 267, 9591, 513, 17740, 807, 1895, 543, 2921, 811, 2047, 689, 9294, 1143, 607, 606, 16809, 269, 4256, 476, 2918, 15304, 10872, 267, 3370, 538, 476, 4350, 276, 267, 896, 20040, 519, 5428, 781, 3673, 626, 19609, 267, 10912, 585, 519, 9746, 1533, 543, 5627, 2178, 6285, 593, 12157, 9917, 341, 1143, 267, 25847, 267, 4035, 787, 267, 6154, 655, 21863, 543, 519, 2923, 269, 1358, 941, 2111, 547, 2744, 513, 10160, 538, 519, 2817, 7027, 585, 2098, 584, 747, 538, 519, 476, 4350, 276, 9550, 4352, 2164, 11992, 941, 4057, 563, 1103, 4156, 21389, 836, 1782, 4553, 602, 3366, 547, 2417, 7771, 609, 11240, 725, 3823, 31482, 540, 7616, 689, 5125, 267, 3056, 547, 1082, 2818, 6028, 936, 1018, 789, 4718, 607, 513, 14207, 540, 18230, 7115, 269, 22388, 268, 8010, 338, 941 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1480, 6045, 269, 834, 2005, 781, 513, 1826, 540, 5841, 4987, 602, 2636, 721, 547, 5968, 609, 513, 2780, 1210, 2067, 1893, 269, 898, 781, 899, 6158, 547, 1776, 1268, 267, 855, 998, 1257, 3079, 540, 4633, 3010, 7692, 729, 19832, 269, 1261, 1185, 2760, 4862, 540, 971, 513, 3364, 1354, 256, 634, 1480, 6035, 547, 1397, 1864, 875, 547, 946, 19208, 267, 543, 4166, 7585, 729, 17511, 1010, 1378, 2055, 883, 519, 1982, 780, 2414, 1010, 9983, 267, 19208, 729, 2111, 547, 2626, 782, 540, 1010, 14511, 827, 519, 1158, 267, 1100, 2339, 875, 2462, 610, 1507, 269, 898, 5143, 1864, 827, 1114, 2477, 267, 4529, 267, 543, 4654, 269, 898, 6045, 1950, 2035, 899, 8904, 543, 4720, 538, 2241, 2474, 602, 1256, 7585, 1223, 1174, 269, 1656, 621, 3177, 2143, 3137, 540, 1480, 5615, 543, 9821, 267, 16460, 782, 540, 1010, 8781, 2055, 827, 1946, 1004, 798, 519, 1919, 789, 798, 780, 3719, 519, 1034, 3078, 851, 585, 7585, 729, 950, 646, 4362, 602, 19208, 1223, 849, 948, 1864, 1451, 827, 782, 12204, 540, 3584, 602, 5461, 1864, 269, 3245, 1686, 543, 2257, 547, 3332, 543, 1148, 267, 972, 8604, 547, 581, 1100, 1439, 547, 519, 5763, 540, 1344, 2139, 693, 1010, 31840, 780, 4415, 19208, 781, 5583, 267, 7585, 1305, 1055, 593, 513, 3126, 540, 5691, 9035, 267, 3695, 3388, 689, 519, 17909, 540, 519, 5836, 547, 519, 2627, 540, 9370, 269, 13966, 519, 1259, 267, 646, 11402, 782, 6073, 540, 4241, 3197, 543, 4121, 827, 9118, 13300, 540, 519, 7122, 780, 4517, 1655, 540, 782, 267, 7064, 547, 19208, 781, 4359, 1893, 2203, 267, 7585, 729, 2111, 547, 598, 2091, 11884, 609, 4896, 646, 1558, 267, 7488, 540, 741, 4282, 610, 5065, 11469, 269, 901, 1500, 1010, 12599, 782, 519, 811, 23429, 267, 607, 646, 729, 2111, 547, 1921, 609, 1004, 689, 1169, 7944, 540, 519, 8608, 780, 7437, 891, 7391, 267, 7585, 6591, 3407, 4030, 883, 1480, 2470, 543, 2486, 269, 1261, 14952, 539, 693, 8103, 781, 4390, 585, 5876, 267, 6043, 267, 543, 5647, 269, 1656, 646, 5433, 18507, 585, 519, 4316, 547, 1451, 689, 971, 513, 3309, 5044, 540, 8186, 780, 1103, 519, 1439, 267, 7585, 6785, 602, 1010, 3460, 1185, 1152, 1175, 13175, 269, 1809, 2907, 646, 1185, 1336, 513, 3532, 24343, 538, 19208, 1107, 513, 11967, 3391, 945, 1131, 13173, 1864, 16382, 1010, 7279, 3366, 1864, 1985, 269, 8625, 267, 789, 1131, 3136, 547, 7903, 519, 6302, 540, 1702, 543, 1620, 267, 30196, 519, 11580, 540, 519, 7122, 835, 2243, 693, 513, 942, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 303, 770, 1808, 10618, 267, 519, 1514, 3310, 540, 19208, 6732, 568, 3573, 269, 1635, 5356, 1930, 7450, 547, 606, 2500, 1893, 1374, 267, 713, 1062, 8591, 547, 519, 24339, 26494, 540, 3877, 543, 6791, 267, 14237, 513, 1454, 811, 6457, 1302, 12667, 543, 13473, 2528, 269, 634, 7872, 585, 4081, 3156, 568, 11999, 267, 607, 27466, 525, 5001, 666, 946, 519, 2647, 2039, 540, 3877, 602, 19208, 3096, 267, 20993, 741, 6616, 2833, 543, 9750, 741, 5380, 563, 17809, 4575, 11207, 1863, 10333, 547, 922, 5499, 19208, 1133, 15905, 1893, 1374, 267, 19208, 6732, 568, 513, 22045, 547, 513, 6216, 20642, 2085, 540, 593, 519, 4950, 2792, 267, 1818, 621, 2009, 585, 2043, 547, 2638, 856, 519, 3970, 1652, 3255, 540, 1480, 10687, 13459, 4901, 1510, 1022, 2186, 540, 13258, 563, 763, 8112, 547, 3605, 568, 711, 1175, 7282, 519, 3668, 540, 13075, 9993, 2705, 11338, 7282, 519, 3099, 540, 5396, 543, 5717, 602, 5561, 666, 7119, 538, 269, 19208, 6732, 13352, 513, 5318, 2039, 540, 547, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11059, 1299, 23874, 1315, 4937, 1315, 2372, 3949, 267, 547, 606, 9813, 3957, 7585, 602, 1175, 15354, 593, 3618, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 606, 9813, 609, 1100, 1702, 827, 3618, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 594, 3314, 950, 1250, 7548, 1101, 5143, 803, 827, 5487, 590, 8759, 25076, 1282, 835, 540, 938, 17651, 5049, 269, 2701, 729, 7234, 1114, 2616, 14898, 1472, 519, 1158, 543, 1946, 789, 941, 3710, 538, 1808, 6753, 269, 2334, 781, 950, 1352, 5018, 5487, 590, 8759, 543, 922, 2189, 5544, 538, 519, 2311, 659, 4821, 19164, 540, 16266, 269, 9741, 1705, 594, 917, 1287, 1175, 875, 1454, 713, 1747, 1131, 1689, 1250, 1272, 11014, 780, 296, 1185, 2141, 1044, 19832, 676, 2230, 2094, 594, 729, 513, 4819, 267, 855, 621, 7012, 1405, 2394, 2852, 602, 594, 7691, 594, 1223, 1118, 513, 4876, 856, 540, 621, 269, 3733, 20485, 4718, 1761, 538, 803, 543, 9415, 803, 547, 4019, 585, 22631, 4721, 693, 1585, 2616, 14898, 5001, 269, 2991, 1896, 11042, 267, 594, 4607, 3078, 3377, 910, 594, 3893, 7608, 883, 5487, 590, 8759, 25076, 256, 594, 7948, 1405, 3494, 621, 282, 594, 6785, 713, 4316, 1131, 1450, 803, 547, 5490, 4514, 883, 1620, 519, 7122, 780, 7628, 1250, 942, 972, 267, 594, 2968, 1266, 1484, 539, 538, 4974, 11397, 15270, 543, 1565, 827, 741, 5250, 269, 11554, 7258, 19023, 3173, 5280, 24917, 1250, 1983, 1247, 3246, 3407, 4030, 269, 1809, 1018, 13351, 803, 1034, 729, 519, 22406, 5898, 540, 519, 3781, 6607, 1107, 796, 984, 560, 1192, 539, 5784, 540, 20035, 725, 267, 15246, 6801, 267, 543, 9118, 824, 31676, 4703, 2451, 803, 4633, 1652, 593, 1082, 14026, 780, 3080, 10543, 267, 1310, 3275, 540, 24091, 7421, 1239, 6394, 689, 835, 540, 519, 2616, 2218, 781, 3532, 24985, 267, 1945, 15116, 9575, 1250, 3750, 269, 589, 25861, 1843, 8604, 547, 2408, 23557, 1836, 267, 3592, 899, 621, 729, 1025, 9722, 269, 4354, 6685, 533, 31985, 267, 594, 6170, 2395, 533, 1681, 936, 1169, 1469, 3843, 547, 1174, 1018, 594, 729, 7487, 780, 5475, 17874, 609, 930, 9164, 267, 649, 11943, 602, 713, 31096, 1522, 581, 513, 5892, 7164, 608, 26979, 564, 610, 5310, 1256, 606, 7357, 1007, 1826, 540, 18477, 1560, 269, 1284, 3533, 5423, 513, 11556, 585, 2417, 8343, 942, 267, 15691, 547, 12260, 519, 11580, 6456, 1369, 713, 12357, 11769, 780, 2171, 4060, 5293, 1354, 649, 6368, 7307, 547, 5150, 3606, 942, 593, 519, 16263, 269, 32471, 748, 10761, 11164, 16940, 3330, 803, 6616, 602, 952, 938, 8367, 9863, 2953, 267, 649, 1223, 5732, 28196, 710, 938, 1620, 540, 519, 26355, 269, 1306, 649, 8036, 519, 9165, 2509, 938, 3077, 267, 24736, 4904, 519, 2011, 780, 4517, 1287, 621, 5949, 1107, 21533, 1166, 14414, 2066, 519, 5496, 267, 13031, 26837, 4192, 2963, 5885, 938, 3069, 269, 1548, 3323, 607, 606, 17608, 7279, 5828, 883, 513, 14262, 6602, 256, 3776, 2319, 23217, 9307, 519, 4681, 267, 4929, 678, 31454, 2429, 519, 3621, 2146, 269, 23549, 3288, 24231, 938, 960, 267, 9160, 532, 5487, 590, 8759, 781, 10639, 607, 513, 13398, 585, 5969, 12967, 28936, 12695, 1382, 780, 4913, 267, 9624, 782, 519, 934, 565, 3547, 543, 6284, 267, 594, 5433, 513, 9490, 7962, 1465, 1212, 9429, 538, 269, 901, 4743, 1152, 14556, 1881, 2390, 13059, 1753, 689, 16266, 269, 2755, 3025, 9976, 938, 9740, 267, 9039, 6956, 519, 7096, 1764, 713, 3460, 1185, 593, 803, 13948, 780, 2005, 10393, 5734, 803, 910, 5103, 2348, 6594, 519, 13655, 540, 519, 7122, 267, 594, 18923, 6785, 4376, 827, 8885, 269, 1975, 2056, 865, 1454, 942, 890, 1359, 883, 12808, 5318, 1145, 1500, 803, 8275, 875, 2370, 3007, 594, 6976, 547, 1250, 1378, 6418, 1582, 269, 1656, 3976, 3459, 1776, 3184, 538, 1250, 1272, 267, 2519, 711, 593, 11397, 15270, 855, 2864, 26126, 543, 1582, 22523, 780, 19185, 1394, 1631, 267, 2324, 693, 5487, 590, 8759, 25076, 3788, 835, 540, 519, 10747, 8090, 540, 1250, 6228, 269, 3502, 1152, 1705, 621, 1683, 3318, 2208, 3564, 2268, 267, 855, 621, 849, 17275, 606, 6397, 2943, 2556, 3408, 540, 1250, 3020, 3961, 269, 6884, 267, 519, 4267, 596, 3343, 9114, 6251, 982, 596, 1589, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 18658, 616, 519, 3119, 1382, 3853, 540, 5487, 590, 8759, 25076, 267, 543, 875, 1281, 922, 4087, 948, 3035, 1346, 3853, 888, 763, 3119, 1382, 3853, 540, 5487, 590, 8759, 25076, 616, 547, 1353, 543, 7747, 1585, 18477, 3615, 543, 9259, 971, 607, 6801, 267, 10785, 267, 15270, 267, 543, 24974, 1949, 269, 634, 2616, 2218, 29377, 7422, 538, 1585, 20966, 540, 1769, 267, 1519, 22292, 267, 7298, 267, 543, 2282, 19899, 14518, 269, 898, 849, 6663, 547, 3605, 1007, 3615, 543, 1353, 741, 3601, 267, 971, 607, 608, 26979, 1115, 543, 30563, 780, 763, 4087, 540, 5487, 590, 8759, 25076, 267, 13883, 538, 519, 2311, 659, 4821, 19164, 538, 16266, 267, 568, 4998, 585, 8236, 891, 1382, 3853, 269, 634, 2616, 2218, 568, 4092, 693, 606, 15820, 540, 476, 273, 267, 6110, 7397, 267, 799, 2488, 513, 2312, 543, 3819, 5790, 267, 4998, 585, 24666, 7422, 269, 634, 1164, 15820, 849, 6971, 11626, 23673, 267, 3850, 519, 2616, 2218, 781, 24985, 547, 7001, 20501, 543, 811, 2143, 2592, 540, 18477, 3615, 780, 12234, 267, 519, 4087, 540, 5487, 590, 8759, 25076, 568, 2484, 2476, 689, 1022, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 7170, 281, 22436, 540, 1924, 548, 1160, 3064, 564, 832, 4721, 281, 1323, 769, 3829, 5811, 540, 4201, 16860, 267, 3244, 13109, 267, 543, 21253, 2225, 692, 20082, 281, 901, 1957, 9691, 12116, 519, 5383, 540, 6852, 32388, 832, 4721, 607, 513, 11342, 1106, 540, 1870, 9562, 267, 2519, 593, 519, 7516, 540, 13190, 267, 16134, 267, 543, 8112, 269, 1635, 13754, 1944, 4207, 3332, 543, 29506, 1944, 12170, 2963, 267, 649, 30881, 875, 891, 10305, 3565, 547, 519, 2949, 28211, 543, 6940, 540, 1507, 4213, 538, 1585, 2804, 8658, 269, 5047, 267, 649, 1865, 1761, 7687, 543, 2104, 1382, 8846, 3823, 519, 1909, 540, 2229, 4507, 543, 6639, 7760, 538, 5935, 519, 5251, 540, 6852, 32388, 832, 4721, 780, 272, 4985, 692, 1103, 2221, 781, 6422, 2344, 5054, 267, 1620, 519, 16082, 540, 1114, 3029, 540, 1870, 9562, 568, 2629, 585, 1312, 9439, 543, 5640, 7567, 630, 29834, 1299, 8055, 12789, 1421, 476, 1708, 274, 1040, 7324, 891, 8925, 267, 6852, 32388, 832, 4721, 723, 21959, 1229, 1713, 3007, 1813, 547, 741, 2189, 4162, 267, 799, 10646, 873, 689, 824, 10721, 3889, 971, 607, 12352, 610, 14078, 269, 13018, 267, 713, 1353, 6663, 547, 5490, 883, 519, 2640, 2404, 609, 6852, 32388, 832, 4721, 676, 17766, 1769, 593, 1614, 1883, 3344, 281, 13190, 267, 16134, 267, 543, 8112, 269, 1452, 2609, 4196, 607, 7944, 18429, 585, 11639, 945, 3343, 547, 31194, 593, 741, 5499, 2093, 1247, 10893, 5007, 10148, 543, 17531, 29386, 10848, 630, 297, 2158, 1696, 620, 1421, 476, 1708, 276, 282, 16019, 1299, 4210, 753, 517, 267, 476, 1708, 277, 6393, 273, 6396, 1108, 692, 2414, 1683, 513, 3102, 7650, 540, 519, 5383, 540, 6852, 32388, 832, 4721, 267, 938, 7634, 18271, 513, 11826, 9836, 2689, 1935, 630, 307, 3757, 7615, 1696, 620, 1421, 476, 1708, 275, 1070, 21214, 11050, 267, 12007, 267, 543, 6404, 2173, 1385, 338, 2090, 3370, 1369, 519, 2250, 8717, 269, 1284, 1445, 5097, 593, 9263, 24595, 4930, 4994, 539, 538, 18019, 12240, 899, 661, 935, 299, 527, 267, 808, 4306, 3036, 267, 543, 3163, 17445, 269, 1677, 2327, 7811, 25294, 543, 7347, 1145, 540, 4030, 267, 649, 849, 6451, 4143, 15454, 3332, 267, 1519, 2324, 4574, 267, 4744, 31277, 267, 543, 3609, 5359, 269, 3776, 10763, 5943, 14405, 2390, 3964, 12497, 3631, 630, 324, 3052, 1421, 4199, 2861, 2070, 267, 11834, 1942, 3069, 264, 547, 2708, 519, 12170, 2963, 543, 2697, 32330, 3466, 2066, 3309, 6080, 543, 10923, 5468, 780, 274, 4201, 16860, 281, 15213, 547, 623, 2720, 826, 24573, 584, 658, 17496, 692, 8505, 16860, 4564, 835, 540, 519, 1034, 19644, 5383, 540, 6852, 32388, 832, 4721, 267, 3850, 2043 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28605, 17683, 281, 30016, 268, 279, 20609, 8894, 258, 17214, 676, 5291, 2517, 4178, 269, 601, 7356, 629, 541, 16695, 2593, 454, 258, 901, 786, 4001, 827, 875, 946, 519, 13483, 29411, 2407, 1257, 3406, 454, 258, 5759, 689, 9226, 692, 258, 6168, 692, 258, 1411, 723, 513, 813, 1031, 676, 3755, 286, 654, 13860, 513, 1434, 3406, 10342, 888, 258, 3973, 2936, 2407, 1257, 3406, 630, 293, 4811, 1040, 1772, 2653, 609, 13483, 29411, 267, 1685, 1134, 454, 258, 543, 2285, 1434, 2164, 269, 5403, 26572, 21415, 568, 1776, 6538, 609, 1434, 454, 258, 674, 4811, 10342, 692, 258, 24722, 2703, 338, 454, 258, 5291, 2517, 4178, 4732, 27942, 924, 3820, 270, 30835, 274, 11258, 692, 258, 2422, 21459, 6402, 454, 258, 4179, 2517, 523, 25769, 3820, 28293, 270, 17359, 26748, 318, 14142, 454, 258, 5291, 2517, 25269, 338, 4877, 3155, 3820, 270, 273, 15828, 3869, 4882, 27942, 924, 274, 11258, 692, 258, 4033, 674, 4811, 8021, 267, 4830, 540, 519, 6538, 2599, 454, 258, 5291, 2517, 7090, 10676, 539, 3820, 270, 8005, 9655, 13045, 258, 5291, 2517, 331, 1075, 2940, 269, 777, 5995, 3820, 11305, 648, 13045, 258, 5291, 2517, 338, 874, 514, 343, 14142, 2593, 270, 692, 5814, 10070, 454, 5814, 30220, 454, 258, 5814, 13483, 29411, 274, 454, 5814, 7510, 617, 25900, 454, 5814, 19523, 7531, 5228, 2588, 2812, 1104, 1820, 17138, 267, 1820, 8138, 17138, 267, 1820, 23737, 267, 1820, 307, 629, 267, 1820, 13286, 692, 2745, 17138, 2891, 2791, 991, 547, 1683, 3406, 10342, 5602, 258, 1820, 8173, 258, 2659, 813, 270, 19986, 3135, 991, 513, 1259, 547, 2285, 3406, 2164, 267, 3728, 1299, 2653, 454, 258, 29185, 2745, 8138, 17138, 2891, 5575, 267, 649, 991, 513, 6538, 5602, 258, 901, 786, 2196, 538, 519, 3965, 692, 258, 935, 333, 815, 13483, 29411, 274, 269, 6618, 3488, 281, 332, 25514, 281, 17210, 935, 333, 815, 7510, 617, 25900, 269, 6618, 3488, 11403, 4353, 2207, 28121, 21415, 18218, 7111, 1849, 1304, 476, 1015, 269, 271, 348, 282, 306, 2207, 23615, 284, 305, 4456, 4596, 13993, 29045, 282, 291, 2969, 5723, 17955, 284, 303, 312, 8025, 2177, 24174, 282, 308, 2839, 284, 21542, 282, 303, 310, 291, 284, 31141, 1321, 259, 17210, 258, 598, 333, 269, 992, 318, 16371, 815, 13483, 29411, 274, 10611, 578, 7531, 3698, 608, 324, 306, 27942, 4433, 27942, 2187, 825, 524, 815, 598, 333, 269, 19387, 4590, 825, 524, 20216, 31146, 4433, 27942, 994, 825, 598, 333, 2593, 2466, 4590, 825, 1948, 2132, 524, 8807, 21255, 718, 30800, 3698, 2824, 306, 27942, 4433, 27942, 267, 4164, 338, 22561, 2187, 825, 524, 815, 598, 333, 269, 19387, 4590, 825, 952, 4164, 338, 912, 1038, 524, 20216, 31146, 4433, 27942, 267, 4164, 338, 994, 13872, 825, 3116, 912, 1038, 524, 20216, 31146, 4433, 27942, 994, 13872, 825, 2132, 524, 8807, 21255, 718, 30800, 21415, 318, 17092, 26154, 815, 29185, 604, 10691, 6818, 263, 2824, 2608, 689, 19523, 6745, 1963, 1141, 2012, 815, 1412, 11825, 976, 5073, 825, 2253, 22562, 825, 595, 3918, 12442, 570, 21764, 31080, 454, 825, 630, 8110, 318, 27306, 21850, 9680, 2207, 10691, 715, 26097, 267, 3097, 672, 12164, 4306, 6938, 19860, 31080, 16229, 318, 27306, 623, 6020, 300, 14473, 26395, 312, 14160, 19851, 2207, 3633, 630, 8110, 318, 27306, 13211, 825, 9509, 11243, 966, 24086, 2752, 263, 1911, 1070, 3097, 825, 4975, 966, 24086, 2752, 263, 1911, 1070, 3097, 825, 13474, 966, 24086, 2752, 263, 1911, 13211, 825, 25439, 966, 24086, 2752, 263, 1911, 13211, 825, 9335, 966, 24086, 2752, 263, 1911, 1070, 3097, 825, 19478, 966, 24086, 2752, 263, 1911, 1070, 3097, 825, 23095, 4263, 966, 24086, 2752, 263, 1911, 264, 12467, 8931, 825, 1439, 692, 20701, 21415, 318, 27486, 12224, 815, 29185, 604, 10691, 6818, 263, 2824, 2608, 689, 19523, 6745, 1963, 1141, 2012, 815, 1412, 11825, 976, 5073, 825, 2253, 454, 825, 5442, 306, 12224, 5442, 15674, 31080, 630, 30949, 267, 15575, 787, 267, 17490, 267, 17359, 11243, 267, 1805, 22901, 267, 8110, 318, 27306, 267, 10387, 841, 267, 32046, 4263, 264, 966, 3201, 308, 2464, 630, 29845, 7790, 267, 7790, 267, 7790, 267, 7790, 267, 7790, 267, 7790, 267, 7790, 994, 825, 1439, 454, 20701, 258, 27486, 12224, 5442, 15674, 31080, 630, 30949, 267, 15575, 787, 267, 17490, 267, 17359, 11243, 267, 8110, 318, 27306, 267, 1805, 22901, 267, 10387, 841, 267, 32046, 4263, 264, 966, 3201, 308, 2464, 630, 29845, 7790, 267, 7790, 267, 7790, 267, 7790, 267, 7790, 267, 7790, 267, 7790, 994, 258, 286, 30949, 267, 286, 15575, 787, 267, 286, 17490, 267, 286, 17359, 11243, 267, 286, 27306, 267, 286, 1805, 22901, 267, 286, 10387, 841, 267, 286, 32046, 4263, 692, 2745, 630, 21415, 318, 17092, 26154, 994, 1410, 324, 306, 27942, 263, 21415, 318, 17092, 26154, 2020, 5228, 1239, 1104, 623, 8991, 2177, 306, 454, 258, 2368, 1239, 585, 4152, 454, 258, 9198, 730, 689, 5291, 2517, 4178, 6155, 520, 629, 553, 564, 652, 11907, 2593, 270, 7531, 3698, 1224, 12336, 341, 6262, 12364, 12774, 2187, 825, 1948, 589, 2241, 2588, 1176, 547, 1224, 513, 11483, 309, 6438, 1239, 607, 3957, 14654, 1255, 454, 825, 1948, 8074, 519, 946, 540, 11718, 267, 547, 2057, 1628, 782, 538, 3965, 454, 825, 18007, 815, 7183, 454, 825, 585, 1899, 538, 26417, 12774, 21858, 6050, 10031, 1038, 952, 18007, 912, 2018, 6556, 18007, 11519, 24708, 263, 1467, 21858, 26086, 12887, 4917, 1038, 3116, 912, 2018, 20927, 815, 1899, 21858, 26086, 3299, 5073, 2018, 18007, 815, 10070, 8542, 3139, 14654, 921, 2891, 305, 578, 2580, 1496, 343, 18622, 2897, 26086, 262, 22207, 579, 5257, 264, 585, 1535, 538, 20927, 316, 9239, 2745, 23737, 2891, 17387, 532, 476, 1911, 271, 5638, 907, 23528, 2017, 815, 598, 333, 269, 19387, 4590, 2017, 20216, 1815, 583, 655, 1415, 263, 21415, 318, 27486, 12224, 267, 1224, 12336, 341, 27456, 8991, 2177, 306, 4917, 2745, 9497, 291, 821, 10590, 2020, 2745, 23737, 2891, 8794, 22244, 17395, 568, 711, 2614, 5602, 2745, 630, 12163, 3674, 2009, 547, 1685, 14511, 609, 519, 22244, 17395, 20438, 269, 1717, 267, 519, 3593, 8818, 454, 2958, 592, 776, 568, 7294, 609, 1896, 10833, 602, 6615, 519, 4610, 14121, 1963, 547, 3406, 2676, 663, 568, 4440, 683, 806, 776, 547, 6677, 22760, 622, 519, 4610, 547, 3406, 543, 519, 13214, 4440, 786, 454, 704, 845, 8338, 609, 22244, 17395, 982, 609, 1463, 4086, 1707, 17161, 899, 815, 267, 2999, 267, 3436, 780, 2690, 1383, 267, 547, 3406, 2012, 1299, 2749, 602, 1223, 1376, 609, 1412, 3849, 3299, 899, 538, 513, 10081, 10687, 10968, 4216, 454, 12163, 2020, 2745, 23737, 2891, 19894, 22244, 17395, 3406, 15419, 10345, 24086, 318, 299, 296, 17395, 815, 8173, 10345, 22268, 9509, 11243, 267, 4975, 20978, 31080, 18040, 16730, 9509, 11243, 22244, 17395, 476, 7790, 476, 10758, 4975, 22244, 17395, 476, 7790, 22322, 16704, 2207, 15760, 9509, 11243, 454, 20701, 2745, 630, 10345, 24086, 318, 299, 296, 17395, 2020, 258, 6748, 513, 927, 1501, 5311, 540, 3993, 325, 571, 9535, 9101, 9696, 267, 649, 1439, 909, 609, 519, 1739, 30299, 3168, 1899, 24097, 7531, 1721, 4737, 538, 2824, 306, 27942, 263, 10345, 24086, 318, 299, 296, 17395, 267, 18358, 260, 3849, 260, 260, 3299, 1412, 260, 3849, 260, 260, 11172, 2187, 825, 1820, 630, 992, 2020, 935, 333, 2593, 2466, 3890, 11434, 692, 2745, 17138, 2891, 9743, 16226, 519, 674, 4811, 1489, 15419, 2745, 23737, 2891, 306, 27942, 7746, 814, 674, 4811, 13087, 676, 9949, 15419, 2745, 9497, 910, 1175, 991, 547, 1711, 519, 1257, 22331, 9233, 593, 519, 24766, 15419, 2745, 23737, 2891, 849, 991, 547, 1711, 519, 1257, 4994, 593, 519, 1880, 3349, 543, 6241, 15419, 258, 14069, 318, 293, 4811, 815, 8173, 258, 595, 3918, 12442, 966, 7644, 307, 308, 3201, 570, 21764, 31080, 16229, 2475, 5058, 535, 1206, 275, 9638, 3205, 27306, 21850, 267, 1543, 11850, 258, 29185, 258, 14069, 318, 293, 4811, 815, 8173, 258, 4534, 27516, 623, 312, 8025, 2177, 24174, 454, 258, 595, 3918, 12442, 674, 26097, 307, 28692, 29640, 3201, 8104, 623, 8991, 30835, 23166, 589, 6717, 7728, 318, 306, 2894, 10485, 30888, 14510, 815, 5508, 293, 692, 258, 595, 3918, 12442, 674, 26097, 307, 28692, 28960, 13052, 10396, 623, 8991, 2177, 306, 630, 293, 26097, 2793, 10933, 267, 595, 14510, 267, 2910, 7419, 15045, 312, 994, 258, 26395, 312, 28960, 13052, 31080, 16229, 318, 27306, 454, 258, 10396, 623, 8991, 30835, 454, 258, 23166, 5254, 8008, 299, 8780, 815, 20219, 23727, 8528, 258, 5727, 7531, 258, 14069, 318, 293, 4811, 815, 29185, 258, 12327, 4488, 2407, 3667, 318, 11069, 692, 258, 29185, 258, 608, 324, 306, 27942, 263, 21415, 318, 293, 4811, 9239, 28744, 630, 21415, 318, 293, 4811, 2020, 28744, 23737, 2891, 2791, 991, 693, 2547, 476, 272, 2361, 547, 4558, 519, 1239, 267, 543, 2322, 1022, 824, 2361, 596, 991, 585, 808, 302, 27486, 15419, 28744, 23737, 2891, 2791, 991, 547, 1402, 3634, 519, 5691, 3349, 609, 5442, 306, 2207, 4811, 689, 519, 3349, 4433, 264, 602, 616, 851, 540, 519, 4994, 15419, 28744, 9497, 11900, 1068, 532, 519, 1239, 29389, 2020, 258, 14069, 318, 303, 8008, 8085, 12442, 18853, 13052, 815, 8173, 258, 5442, 306, 12224, 5442, 15674, 31080, 16229, 630, 17367, 27306, 267, 1543, 994, 258, 10323, 22268, 16740, 267, 9509, 11243, 13466, 1412, 1412, 13466, 4975, 13466, 1412, 1412, 13466, 13474, 13466, 1412, 1412, 13466, 9335, 454, 258, 672, 20978, 31080, 454, 258, 29185, 258, 1820, 23737, 2891, 9616, 875, 594, 6677, 22760, 622, 519, 4610, 609, 513, 2230, 15419, 258, 1820, 630, 21415, 318, 303, 8008, 8085, 12442, 18853, 13052, 994, 258, 608, 324, 306, 27942, 263, 21415, 318, 303, 8008, 8085, 12442, 18853, 13052, 994, 258, 1948, 1820, 834, 291, 821, 907, 5016, 2745, 23737, 2891, 2414, 723, 519, 4994, 909, 3562, 15082, 267, 946, 12153, 15419, 2745, 17138, 2891, 15507, 532, 609, 674, 4811, 5602, 2745, 23737, 2891, 15507, 568, 1360, 2653, 267, 3079, 540, 22244, 17395, 267, 946, 12164, 14011, 27486, 543, 674, 3918, 4953, 28692, 834, 2020, 10345, 24086, 318, 293, 4811, 815, 8173, 10345, 22268, 2608, 20978, 31080, 454, 20062, 16730, 12164, 14011, 27486, 263, 24682, 7790, 12467, 16704, 2207, 15760, 9509, 11243, 454, 20701, 258, 10323, 24086, 318, 293, 4811, 815, 8173, 258, 10323, 22268, 9509, 11243, 267, 4975, 20978, 31080, 18040, 16730, 3131, 318, 27306, 5442, 27210, 258, 567, 10323, 22268, 1268, 27306, 20978, 31080, 16229, 18040, 16730, 1543, 13878, 6224, 26042, 258, 12467, 258, 10758, 29308, 15760, 9509, 11243, 454, 258, 5727, 19638, 28744, 630, 10345, 24086, 318, 293, 4811, 994, 2745, 8138, 17138, 2891, 15507, 2164, 281, 5602, 258, 5221, 594, 1039, 811, 4610, 547, 713, 267, 519, 2164, 616, 1114, 454, 258, 1721, 4737, 538, 2824, 306, 27942, 263, 10345, 24086, 318, 293, 4811, 267, 9598, 263, 32098, 8782, 3849, 265, 10807, 2187, 1721, 2415, 538, 19523, 27769, 341, 912, 825, 2415, 815, 1412, 257, 262, 266, 2415, 1341, 24003, 257, 7055, 825, 585, 4737, 538, 2824, 306, 27942, 263, 10345, 24086, 318, 293, 4811, 267, 2415, 476, 2187, 1038, 1820, 630, 992, 994, 1038, 1820, 18011, 7474, 1058, 581, 513, 4737, 10807, 8528, 692, 2745, 23737, 2891, 8794, 674, 4811, 267, 568, 2009, 547, 798, 5488, 14511, 585, 1919, 602, 616, 3500, 609, 22244, 17395, 5602, 258, 1820, 834, 2690, 1383, 267, 3168, 585, 513, 5569, 538, 1022, 2990, 24003, 31678, 265, 262, 5016, 2745, 8138, 17138, 2891, 15507, 2164, 281, 5602, 258, 8074, 281, 1772, 2013, 15564, 17567, 2336, 1721, 4737, 538, 2824, 306, 27942, 263, 10345, 24086, 318, 293, 4811, 267, 1412, 31678, 262, 2187, 825, 1820, 630, 992, 2020, 258, 1820, 9497, 4517, 585, 513, 8360, 899, 1412, 291, 650, 534, 3751, 262, 538, 4888, 312, 851, 540, 519, 1543, 257, 9239, 258, 1820, 8138, 17138, 2891, 15507, 2164, 281, 5602, 258, 1948, 8074, 281, 1772, 20583, 538, 834, 4840, 258, 585, 4737, 538, 2824, 306, 27942, 263, 10345, 24086, 318, 293, 4811, 267, 9598, 263, 32098, 8782, 257, 291, 650, 534, 3751, 257, 10807, 2187, 258, 672, 1820, 630, 992, 2020, 2745, 8138, 17138, 2891, 306, 4953, 4238, 5602, 2745, 23737, 2891, 2791, 666, 946, 10758, 267, 10691, 899, 538, 513, 1357, 3406, 2599, 10590, 9239, 2745, 8138, 17138, 2891, 15507, 2164, 6730, 281, 5602, 258, 3807, 5094, 519, 1913, 609, 513, 2230, 454, 1721, 4737, 538, 2824, 306, 27942, 263, 10345, 24086, 318, 293, 4811, 267, 1412, 257, 21914, 265, 3026, 9366, 265, 257, 262, 2187 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 527, 2401, 543, 519, 13303, 16817, 1014, 2622, 1613, 454, 529, 513, 3532, 12576, 540, 519, 3844, 1909, 16817, 779, 2093, 5129, 538, 6679, 519, 1259, 585, 519, 1244, 571, 1386, 8186, 540, 13609, 543, 1010, 18911, 577, 5443, 547, 32230, 543, 4163, 856, 930, 540, 519, 1034, 26648, 10963, 538, 1158, 1686, 269, 4270, 13006, 538, 519, 12591, 540, 519, 5171, 2933, 607, 1134, 607, 538, 519, 6589, 540, 1312, 1977, 543, 4436, 12206, 267, 713, 1433, 568, 513, 865, 828, 532, 1353, 540, 519, 9409, 5613, 540, 513, 7301, 3661, 563, 4306, 14110, 2894, 661, 269, 654, 302, 7495, 310, 3036, 8025, 267, 1912, 6185, 1421, 21133, 7905, 540, 3778, 267, 7147, 4168, 2160, 267, 10783, 29247, 267, 7147, 454, 288, 4101, 1224, 256, 6969, 18167, 883, 713, 1433, 3988, 1058, 25231, 2933, 585, 25884, 513, 1025, 3563, 532, 4323, 1996, 29747, 13609, 779, 4571, 2389, 342, 12351, 10601, 4436, 1391, 547, 3132, 513, 968, 27273, 1640, 5198, 1848, 901, 6138, 19411, 730, 538, 519, 865, 10777, 674, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11947, 570, 800, 1143, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 11572, 8211, 3098, 1315, 20271, 32236, 1299, 27565, 1143, 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, 589, 1247, 1394, 267, 594, 1336, 8885, 2620, 538, 6643, 609, 930, 8284, 24384, 2684, 3796, 827, 938, 5172, 4773, 540, 8301, 3937, 269, 1284, 941, 782, 2220, 6260, 2984, 827, 875, 649, 3893, 3323, 538, 519, 15908, 543, 1018, 2186, 540, 10591, 649, 1185, 693, 1753, 269, 898, 7012, 1405, 1279, 1354, 2576, 4547, 909, 519, 1888, 540, 3160, 9088, 630, 292, 17988, 1070, 799, 3366, 803, 547, 2446, 1250, 1995, 609, 519, 26186, 514, 3059, 4487, 780, 296, 5143, 873, 875, 9599, 594, 729, 950, 594, 1101, 11751, 621, 267, 3206, 602, 621, 1131, 2285, 803, 10700, 1852, 936, 1250, 3280, 1062, 269, 1717, 267, 1310, 1210, 621, 585, 513, 1247, 267, 594, 7691, 1945, 9642, 910, 972, 4769, 1405, 3100, 547, 581, 1022, 3017, 538, 3280, 2298, 2436, 594, 4294, 661, 304, 5468, 610, 2451, 3388, 6366, 256, 901, 3366, 803, 547, 8495, 2417, 543, 3605, 602, 1100, 661, 304, 729, 2965, 2813, 950, 519, 26186, 514, 3059, 4487, 729, 1031, 269, 2311, 2547, 9039, 602, 1500, 606, 3507, 762, 3017, 780, 1607, 17275, 3833, 513, 7521, 1851, 519, 1895, 267, 609, 930, 1004, 1202, 12371, 602, 594, 1590, 723, 2944, 1945, 4636, 267, 543, 1866, 4687, 741, 1378, 2833, 1141, 1978, 661, 304, 11941, 8604, 547, 1118, 2370, 547, 1100, 1764, 593, 741, 8301, 14764, 269, 2290, 1268, 1256, 795, 12097, 602, 6148, 519, 26186, 514, 2754, 31205, 23553, 741, 3926, 547, 2061, 3755, 689, 3190, 532, 909, 519, 3280, 2439, 2026, 811, 1004, 16403, 539, 538, 267, 594, 3459, 547, 1174, 602, 713, 3390, 4682, 3564, 1175, 519, 26186, 514, 3059, 4487, 1107, 1082, 1164, 15134, 8301, 3334, 10645, 547, 2709, 4359, 661, 304, 2934, 267, 855, 1419, 26857, 11029, 2164, 693, 1655, 269, 2368, 11130, 602, 713, 729, 1813, 547, 9120, 1374, 3741, 6964, 538, 1346, 3457, 267, 6466, 1866, 5156, 602, 6725, 6811, 3274, 856, 335, 3166, 6639, 7207, 780, 5475, 3257, 930, 1382, 2228, 267, 594, 16686, 2066, 1585, 16060, 7234, 713, 1360, 1641, 1369, 27423, 2950, 269, 3509, 4966, 6700, 602, 3020, 521, 4577, 29356, 1223, 1152, 2097, 689, 1387, 4084, 3435, 2864, 982, 13461, 9003, 593, 3059, 4393, 269, 11524, 11329, 2509, 28400, 659, 15064, 9259, 602, 1522, 2491, 1946, 3425, 3006, 13498, 5634, 3604, 607, 1713, 9283, 780, 8269, 22162, 593, 782, 713, 1344, 267, 594, 3357, 547, 5660, 519, 6988, 540, 8301, 12093, 543, 922, 2078, 609, 1480, 8226, 269, 2755, 594, 7620, 5433, 25922, 676, 1250, 6602, 3823, 519, 26186, 514, 3059, 4487, 267, 594, 1631, 4718, 621, 607, 606, 4316, 547, 1451, 811, 827, 519, 14960, 540, 3280, 4702, 269, 5047, 267, 1373, 851, 540, 713, 13395, 2146, 4847, 803, 547, 4497, 538, 4241, 7391, 543, 2744, 3407, 4030, 602, 8476, 1250, 2949, 18399, 540, 2575, 543, 8301, 2029, 780, 3383, 267, 2469, 1394, 547, 707, 2243, 281, 3657, 891, 1079, 5220, 22950, 29320, 540, 1142, 824, 286, 8786, 267, 789, 6655, 519, 1482, 4909, 1523, 1210, 5594, 9867, 2262, 532, 269, 1656, 1454, 899, 891, 5220, 267, 9583, 19635, 2609, 540, 1250, 3460, 6038, 4780, 3022, 547, 1106, 513, 23887, 2898, 1107, 835, 4904, 609, 1702, 267, 23274, 267, 543, 513, 7096, 7071, 585, 519, 1148, 540, 6947, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 5591, 661, 304, 729, 2813, 950, 519, 26186, 514, 3059, 4487, 729, 1031, 4586, 5591, 661, 304, 729, 2813, 950, 519, 3059, 4487, 540, 26186, 514, 729, 1031, 16317, 6701, 891, 1079, 5220, 22950, 29320, 540, 1142, 824, 888, 2419, 7860, 281, 513, 1040, 1100, 282, 536, 1040, 9811, 3248, 321, 1040, 9811, 692, 4322, 1079, 5220, 616, 22950, 29320, 540, 1142, 824, 1317, 789, 1312, 2769, 519, 1482, 2856, 281, 602, 1100, 661, 304, 630, 16029, 1436, 264, 729, 2813, 950, 519, 3059, 4487, 1644, 547, 26186, 514, 729, 1031, 269, 634, 1931, 540, 519, 1913, 568, 5594, 1114, 267, 855, 519, 2495, 13978, 519, 1482, 269, 1924, 267, 789, 616, 1175, 1079, 1114, 2081, 540, 6031, 519, 1482, 3364, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 2878, 272, 269, 274, 11137, 540, 519, 6092, 4373, 8702, 547, 938, 3078, 3460, 998, 519, 1158, 540, 5373, 543, 12514, 256, 769, 713, 1576, 267, 649, 786, 2263, 1079, 5863, 2081, 540, 13830, 543, 2870, 2592, 281, 609, 22796, 543, 1957, 267, 543, 609, 12514, 2439, 5575, 267, 1577, 781, 2911, 827, 5373, 269, 1879, 596, 2721, 267, 596, 1205, 547, 946, 707, 9345, 547, 3142, 707, 2093, 547, 1272, 256, 1411, 666, 1711, 4376, 596, 1616, 1107, 1004, 267, 2831, 267, 8916, 267, 5656, 267, 543, 811, 269, 1656, 519, 1655, 851, 568, 267, 972, 781, 1100, 1318, 610, 4636, 1259, 547, 798, 621, 269, 898, 781, 782, 909, 547, 596, 2439, 1103, 713, 1576, 267, 649, 786, 1451, 1114, 2553, 543, 1983, 585, 5373, 267, 971, 607, 27864, 267, 5133, 267, 543, 17114, 269, 1284, 786, 849, 2259, 1210, 1114, 2326, 267, 899, 22796, 267, 23315, 267, 2250, 1564, 267, 543, 12508, 269, 1635, 519, 1439, 540, 519, 1576, 267, 596, 786, 723, 782, 519, 2645, 596, 991, 547, 1118, 4190, 12400, 602, 2769, 707, 2189, 2511, 780, 3086, 267, 1577, 781, 1847, 593, 547, 12514, 269, 5620, 596, 2479, 9289, 875, 513, 8254, 1568, 286, 4270, 267, 621, 781, 2965, 3833, 4241, 256, 589, 8254, 568, 513, 1907, 602, 13071, 721, 7001, 8090, 538, 942, 543, 8190, 873, 11014, 269, 2060, 513, 8254, 267, 649, 666, 1491, 5961, 540, 938, 2828, 543, 1920, 267, 3561, 2027, 14026, 267, 543, 1256, 2995, 2984, 998, 11147, 780, 1103, 713, 1576, 267, 649, 786, 1451, 827, 519, 1114, 2694, 540, 513, 8254, 543, 875, 789, 960, 1927, 547, 1491, 513, 4605, 269, 1284, 786, 849, 2263, 1114, 2010, 540, 12514, 267, 689, 16389, 547, 667, 20784, 20745, 267, 543, 1451, 875, 547, 946, 1142, 835, 3927, 269, 9578, 267, 649, 786, 4685, 883, 519, 1148, 540, 10344, 3294, 267, 7234, 5888, 267, 8654, 267, 543, 824, 1271, 2609, 602, 979, 883, 1818, 513, 1390, 8666, 780, 3719, 1934, 781, 519, 2731, 3579, 3364, 281, 676, 9256, 5373, 543, 10344, 267, 649, 666, 1711, 1256, 811, 6909, 11247, 256, 5994, 1373, 2111, 547, 6451, 1483, 3734, 6337, 883, 707, 12400, 267, 610, 1210, 707, 1702, 540, 10344, 547, 3986, 707, 11516, 4221, 4480, 269, 634, 7399, 616, 11995, 2439, 3383, 31617, 909, 267, 1317, 649, 2811, 827, 547, 7832, 593, 513, 1187, 543, 3872, 7045, 602, 786, 1930, 909, 513, 2898, 1007, 1158, 540, 5876, 585, 596, 269, 5192, 4712, 547, 3605, 519, 1379, 540, 5373, 543, 12514, 267, 543, 25793, 1662, 707, 6418, 7376, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 19352, 532, 543, 6682, 10327, 257, 5497, 585, 1762, 1453, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 272, 269, 272, 269, 1548, 568, 14301, 543, 6682, 10327, 286, 2580, 834, 272, 269, 273, 269, 11957, 540, 519, 1576, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 274, 269, 11137, 540, 519, 1576, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 713, 1770, 568, 5497, 585, 1762, 1453, 2835, 267, 865, 946, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 1015, 4458, 6040, 1131, 3362, 1174, 269, 15681, 606, 2502, 543, 28292, 1650, 543, 2057, 1022, 1950, 2035, 610, 2930, 2474, 0, 6092, 5149, 281, 6468, 781, 11470, 16262, 3098, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 2021, 781, 5708, 16320, 3098, 1369, 519, 2796, 540, 4168, 3332, 543, 10070, 1299, 16320, 3098, 269, 1284, 786, 2263, 1585, 1568, 676, 20152, 2311, 6229, 267, 513, 30508, 5856, 945, 814, 1500, 1713, 7418, 547, 519, 9135, 269, 901, 1770, 6663, 547, 1683, 606, 538, 3829, 2079, 540, 875, 891, 2984, 2992, 4207, 2152, 5185, 676, 2021, 1247, 5356, 2189, 5380, 12082, 538, 5132, 543, 17035, 780, 296, 269, 4197, 6468, 781, 11470, 16262, 3098, 454, 288, 269, 9502, 543, 3140, 4282, 454, 272, 269, 9622, 10885, 540, 2021, 781, 9739, 538, 3332, 454, 273, 269, 12472, 540, 21044, 4145, 543, 30031, 4485, 454, 289, 269, 17583, 547, 8567, 454, 272, 269, 16709, 540, 3909, 4798, 543, 18305, 454, 273, 269, 28249, 1275, 1063, 22158, 543, 5132, 454, 290, 269, 25684, 538, 2413, 2486, 454, 272, 269, 18601, 5571, 4008, 8635, 543, 1514, 5126, 2152, 454, 273, 269, 25085, 618, 998, 9423, 692, 2862, 269, 24167, 20152, 2311, 6229, 781, 3718, 454, 288, 269, 11137, 540, 2311, 6229, 781, 4876, 543, 18517, 454, 272, 269, 22453, 2039, 540, 11964, 543, 12043, 454, 273, 269, 23779, 543, 1764, 593, 2518, 2148, 2137, 454, 289, 269, 5811, 540, 2824, 5931, 454, 272, 269, 2608, 763, 7435, 2742, 573, 781, 26626, 20330, 320, 269, 29325, 17380, 1014, 5075, 540, 30013, 1852, 454, 321, 269, 4427, 11437, 540, 13400, 6386, 454, 322, 269, 20154, 4187, 543, 6043, 454, 273, 269, 2608, 29272, 781, 16685, 20330, 320, 269, 13216, 28402, 540, 4775, 11505, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 2470, 1500, 596, 1745, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 19285, 2356, 979, 547, 19051, 547, 28306, 543, 23365, 8885, 538, 519, 4190, 29278, 267, 621, 568, 1250, 2470, 3797, 269, 634, 5836, 9001, 4992, 540, 6329, 12902, 593, 519, 11824, 267, 519, 554, 10105, 2059, 22586, 30917, 602, 26182, 513, 2631, 585, 803, 602, 942, 2781, 1162, 547, 1611, 4376, 543, 594, 1131, 3802, 782, 1554, 269, 594, 979, 593, 3141, 23438, 543, 23863, 6968, 338, 267, 8666, 554, 10105, 547, 23144, 519, 1034, 4277, 7725, 267, 16115, 267, 30917, 267, 5810, 267, 12772, 1216, 16304, 689, 4388, 540, 3762, 269, 10435, 519, 7552, 811, 2027, 814, 2141, 3769, 519, 606, 4316, 547, 3643, 14609, 903, 563, 296, 993, 1360, 7255, 2436, 616, 2356, 522, 21993, 269, 543, 4743, 17159, 267, 865, 1411, 991, 596, 547, 13236, 267, 1832, 707, 3946, 547, 3054, 267, 4779, 534, 952, 596, 723, 547, 267, 1775, 5963, 4318, 269, 519, 2067, 30032, 14179, 27035, 3210, 282, 855, 1810, 1406, 1376, 27012, 707, 2027, 2694, 610, 1256, 3801, 538, 1931, 547, 13468, 3054, 267, 607, 602, 568, 968, 14179, 27035, 4082, 2223, 799, 568, 9425, 678, 8775, 267, 796, 331, 8221, 267, 543, 12662, 707, 13309, 538, 606, 11104, 3585, 13943, 2816, 563, 2414, 2417, 5818, 707, 19140, 2305, 543, 29915, 566, 1995, 267, 3548, 811, 6960, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 15168, 2632, 1670, 12594, 910, 14171, 5516, 540, 24771, 20661, 3414, 7743, 5253, 543, 27276, 692, 5970, 596, 2479, 2219, 827, 875, 1426, 666, 948, 1004, 3251, 2635, 607, 789, 1205, 4587, 286, 3807, 899, 950, 649, 941, 2370, 3214, 543, 2877, 14312, 6980, 547, 1332, 2462, 543, 2178, 267, 11361, 11570, 849, 991, 17705, 543, 7059, 8286, 547, 1832, 873, 3514, 543, 6126, 256, 901, 7936, 540, 6484, 568, 1572, 12908, 2632, 1670, 6484, 267, 799, 6212, 593, 1018, 4587, 4079, 630, 15161, 9907, 476, 4792, 1296, 2025, 543, 909, 264, 1058, 3548, 543, 4235, 547, 2661, 741, 2729, 547, 519, 2407, 652, 780, 2026, 938, 4703, 1689, 936, 942, 267, 865, 798, 938, 8192, 2115, 269, 1280, 1383, 267, 930, 4587, 4079, 1522, 723, 8373, 21400, 610, 24948, 1978, 3536, 1813, 547, 5959, 2152, 610, 2564, 2175, 269, 11524, 949, 2154, 7864, 8477, 855, 1869, 991, 1898, 8324, 543, 6886, 269, 2334, 781, 1141, 12908, 2632, 1670, 6484, 2501, 538, 1107, 621, 2337, 721, 1174, 891, 2242, 543, 1711, 7594, 4566, 602, 8597, 547, 1142, 1367, 781, 2189, 4170, 780, 4131, 781, 2263, 1614, 1883, 3344, 540, 12908, 2632, 1670, 6484, 1384, 272, 269, 2878, 19187, 20697, 4995, 4826, 4249, 513, 1713, 1909, 538, 5329, 938, 1560, 1949, 8647, 7157, 269, 1546, 5139, 1674, 666, 1291, 547, 10539, 267, 21994, 267, 8813, 267, 543, 1256, 30674, 1851, 20650, 269, 11559, 707, 22594, 610, 11361, 2828, 547, 521, 760, 1216, 2429, 519, 1554, 267, 2709, 5613, 543, 19787, 609, 1164, 1216, 1543, 899, 31480, 267, 14274, 267, 5283, 976, 267, 543, 18683, 267, 543, 3970, 10425, 5627, 14933, 610, 4568, 267, 799, 1223, 13204, 3433, 873, 2417, 563, 273, 269, 2878, 25911, 2331, 11326, 3638, 538, 5567, 4995, 4595, 4587, 4079, 1419, 991, 7864, 8477, 267, 621, 781, 2629, 547, 2327, 1169, 11116, 12523, 256, 13667, 585, 1585, 2898, 3536, 14095, 609, 8324, 267, 6886, 267, 5946, 267, 543, 6775, 1247, 12145, 9268, 16152, 543, 24494, 13000, 269, 2368, 9735, 3681, 1331, 10709, 16469, 267, 3165, 267, 5798, 267, 10365, 267, 10808, 267, 5452, 267, 5613, 267, 5388, 267, 1970, 19339, 10683, 2472, 267, 543, 2898, 9274, 269, 3958, 267, 6451, 7513, 11656, 5079, 899, 5144, 267, 18506, 267, 10381, 267, 22282, 267, 25989, 267, 543, 25167, 2030, 2861, 2113, 802, 547, 2226, 5642, 1072, 563, 274, 269, 2878, 11754, 7675, 2027, 4145, 4995, 15742, 2564, 2175, 2154, 1808, 2732, 12381, 269, 1280, 3236, 267, 1346, 609, 3987, 1590, 6895, 19346, 6981, 267, 1247, 2043, 609, 2295, 2068, 1522, 4324, 689, 4389, 3170, 543, 9770, 4616, 269, 898, 781, 1898, 547, 5077, 3782, 4648, 1354, 1818, 1022, 27290, 2242, 547, 835, 781, 4189, 6208, 282, 2705, 267, 1620, 891, 2591, 666, 7668, 721, 547, 5965, 8949, 543, 16138, 5109, 6980, 585, 6000, 543, 938, 6068, 3283, 780, 3086, 4952, 952, 596, 1223, 946, 713, 16012, 1702, 547, 6505, 523, 2576, 781, 1554, 256, 1411, 1223, 3434, 513, 3636, 17339, 4904, 609, 19787, 585, 707, 6264, 8001, 267, 27106, 513, 16801, 540, 19337, 3694, 1210, 2898, 10568, 7912, 267, 610, 3274, 7618, 707, 7023, 547, 4235, 2614, 1216, 1282, 3905, 4832, 1310, 7224, 976, 269, 1635, 3257, 865, 267, 711, 1152, 1131, 596, 3565, 9797, 547, 741, 8171, 267, 855, 596, 9364, 849, 1831, 606, 12167, 585, 12908, 2632, 1670, 6484, 1107, 18445, 602, 1434, 1426, 5963, 814, 519, 1379, 547, 3142, 7772, 693, 1022, 2085, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22479, 1388, 1125, 593, 707, 9342, 543, 1376, 513, 14785, 4876, 607, 513, 4052, 12016, 269, 6969, 679, 13764, 538, 513, 13931, 4052, 8808, 1982, 267, 2015, 707, 1915, 7907, 269, 3657, 596, 12391, 267, 17519, 267, 3461, 267, 543, 18906, 633, 286, 1452, 7907, 267, 811, 982, 519, 2930, 1983, 6591, 538, 519, 8808, 1982, 267, 786, 3313, 707, 8458, 540, 1967, 269, 1306, 513, 4052, 12016, 267, 596, 3580, 960, 5702, 609, 2550, 547, 3895, 1072, 267, 13599, 2043, 267, 3885, 267, 543, 2950, 267, 543, 4217, 538, 519, 6051, 689, 8650, 610, 5312, 3676, 563, 299, 545, 10234, 4052, 11923, 1416, 585, 2550, 896, 519, 4287, 540, 513, 10805, 12016, 610, 10629, 269, 4256, 3119, 10279, 3322, 2596, 5127, 2515, 1416, 269, 4033, 9021, 1331, 7893, 543, 10916, 4105, 4191, 267, 10138, 1416, 267, 29780, 543, 5464, 25108, 1562, 267, 28720, 6527, 267, 2123, 1416, 971, 607, 28876, 543, 19703, 2550, 267, 10688, 543, 1489, 267, 543, 27459, 2358, 14468, 8808, 20843, 269, 2755, 700, 14149, 338, 616, 9859, 676, 10805, 11923, 267, 789, 1590, 544, 2967, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 518, 2632, 1670, 12594, 257, 607, 851, 540, 834, 25503, 1315, 10791, 10657, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 10289, 7756, 9537, 540, 7734, 692, 8702, 267, 2104, 3988, 256, 5620, 596, 2479, 2219, 827, 782, 519, 1114, 2010, 540, 2835, 972, 616, 856, 972, 286, 1703, 616, 7045, 2984, 267, 2257, 5708, 8941, 267, 13655, 267, 22808, 267, 543, 865, 1454, 811, 256, 4653, 267, 649, 786, 2263, 930, 2189, 5686, 540, 2835, 602, 1522, 9983, 543, 10508, 596, 780, 272, 269, 23664, 13895, 23397, 20393, 5590, 538, 23433, 2622, 338, 454, 5331, 513, 1158, 1510, 2367, 267, 4904, 609, 2021, 945, 16196, 1510, 873, 269, 16319, 9490, 267, 1318, 286, 2334, 781, 4010, 1018, 5949, 538, 834, 763, 5295, 2437, 676, 10878, 23449, 25548, 9007, 269, 901, 554, 559, 13895, 3209, 5055, 3217, 1747, 538, 513, 1158, 12199, 676, 2021, 267, 1141, 789, 4865, 513, 12357, 3196, 602, 2636, 873, 547, 6850, 322, 1393, 1866, 269, 898, 849, 2934, 20868, 1919, 899, 3478, 1164, 593, 13803, 543, 562, 7360, 4023, 625, 2713, 1851, 1004, 256, 4634, 1498, 713, 1650, 19528, 1945, 1572, 834, 17954, 343, 527, 2437, 1810, 1405, 5855, 952, 596, 1810, 1405, 1174, 621, 2943, 282, 1175, 2972, 519, 14902, 338, 543, 10761, 1247, 12423, 513, 1007, 2186, 540, 1158, 563, 273, 269, 6611, 7358, 553, 3171, 520, 1005, 15776, 15487, 623, 29521, 543, 13329, 1304, 590, 4721, 454, 3086, 1577, 781, 3460, 883, 9018, 2230, 543, 2743, 24139, 31503, 4971, 324, 1359, 10995, 5624, 4721, 256, 8786, 267, 596, 4862, 602, 1318, 256, 7788, 2274, 1188, 773, 781, 834, 2304, 322, 16736, 10456, 257, 6645, 971, 513, 13858, 9661, 540, 1379, 9620, 543, 1582, 22523, 602, 596, 4465, 1405, 1256, 5469, 922, 1950, 4798, 269, 1411, 3513, 2648, 1739, 6601, 336, 267, 2899, 851, 540, 513, 6801, 1222, 3642, 9013, 5215, 540, 4703, 267, 855, 1631, 4389, 547, 5665, 1152, 835, 1480, 1106, 269, 5994, 2348, 2828, 945, 941, 2694, 540, 707, 1378, 6928, 11652, 1287, 9561, 873, 256, 1284, 9153, 596, 513, 16945, 1723, 2120, 11878, 998, 519, 6801, 609, 713, 9735, 3209, 563, 274, 269, 6490, 7546, 338, 2349, 2105, 2060, 9012, 5811, 454, 15919, 4589, 2671, 741, 2123, 2833, 7258, 16367, 7422, 827, 938, 2486, 269, 10906, 808, 27255, 1705, 10502, 602, 950, 1352, 5206, 834, 290, 6817, 547, 10055, 1701, 1306, 513, 19784, 8720, 2101, 3377, 3906, 267, 15516, 269, 808, 27255, 8843, 9159, 2984, 689, 1200, 4876, 543, 3091, 10372, 585, 5355, 19761, 269, 2701, 6941, 2035, 899, 834, 10852, 6894, 2923, 257, 543, 11828, 2081, 20859, 1223, 9718, 9111, 676, 5466, 2042, 1369, 741, 2361, 269, 1635, 9256, 1483, 3734, 9035, 609, 18759, 593, 519, 2956, 540, 22973, 1344, 267, 15516, 269, 808, 27255, 2982, 721, 875, 4241, 543, 4105, 1434, 8989, 666, 581, 563, 275, 269, 12056, 25491, 12267, 6168, 3203, 3778, 454, 12441, 596, 917, 602, 1148, 1686, 666, 581, 2407, 540, 11580, 7996, 547, 581, 20114, 286, 8355, 9466, 781, 834, 763, 20707, 30058, 8943, 257, 12857, 7917, 18999, 18484, 267, 513, 1623, 321, 6048, 3843, 547, 4194, 513, 12638, 9814, 23091, 609, 3504, 3909, 6698, 543, 9479, 6456, 1369, 4583, 1568, 540, 1148, 269, 2755, 21264, 532, 10881, 267, 6004, 269, 18999, 18484, 6887, 909, 609, 20153, 773, 3026, 557, 340, 267, 513, 16805, 3943, 6939, 19212, 269, 8625, 267, 789, 5198, 1996, 942, 547, 2061, 1776, 11318, 543, 7866, 26648, 18408, 12617, 2620, 3330, 3864, 1686, 269, 5192, 4712, 585, 24457, 267, 2962, 267, 543, 10578, 13410, 1759, 593, 4890, 3140, 5013, 563, 276, 269, 12844, 639, 5080, 21215, 2637, 637, 2336, 2467, 616, 9118, 824, 11964, 4502, 3695, 267, 1519, 9589, 17779, 267, 29711, 1014, 9089, 267, 22342, 26497, 619, 267, 543, 1082, 811, 269, 2368, 2835, 9192, 1896, 6163, 267, 1818, 585, 6909, 5339, 15322, 269, 1924, 2141, 581, 1930, 547, 1007, 2542, 9035, 543, 3314, 602, 1169, 9135, 814, 922, 9059, 547, 2709, 2439, 7312, 12414, 2336, 13914, 827, 891, 2055, 1310, 18138, 938, 1576, 1770, 1384, 265, 1548, 1826, 540, 9135, 533, 31985, 707, 1719, 1034, 286, 4208, 888, 265, 2052, 596, 2012, 1022, 2835, 596, 4312, 1224, 1354, 602, 3514, 891, 2189, 6688, 888, 265, 1215, 798, 596, 1745, 6616, 602, 972, 616, 865, 1082, 3309, 11964, 2139, 547, 1224, 2496, 8855, 267, 9750, 707, 20030, 543, 5887, 1005, 883, 14542, 11182, 666, 1291, 547, 7415, 8906, 543, 1272, 19145, 8090, 269, 8414, 7335, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7069, 3659, 20917, 814, 5680, 3817, 17609, 519, 2835, 646, 814, 1224, 2094, 476, 1220, 275, 269, 594, 4941, 547, 1832, 1732, 3950, 540, 1018, 594, 1224, 267, 865, 693, 519, 4098, 540, 476, 1220, 278, 267, 594, 3323, 5329, 513, 1592, 1934, 269, 1280, 835, 3364, 267, 4657, 6009, 693, 519, 1439, 540, 476, 1220, 278, 5921, 594, 1185, 6266, 811, 2542, 942, 982, 594, 1031, 547, 267, 1317, 594, 1631, 723, 1018, 5666, 547, 513, 1857, 18302, 862, 1393, 563, 295, 559, 13895, 3209, 5055, 1305, 538, 513, 1158, 1510, 2367, 630, 11004, 781, 1100, 7778, 540, 1946, 267, 610, 540, 875, 2021, 16196, 1510 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5459, 12479, 602, 835, 4563, 3778, 13600, 1131, 14897, 1317, 4563, 3778, 454, 13195, 5963, 11368, 883, 519, 5958, 540, 1977, 2219, 1272, 543, 2069, 269, 2334, 18387, 1406, 5949, 2943, 269, 594, 10272, 519, 7087, 14400, 16635, 538, 6660, 342, 879, 27365, 835, 1032, 267, 543, 621, 454, 13195, 606, 1271, 19214, 883, 1776, 1158, 269, 3502, 1175, 519, 1004, 267, 741, 7802, 267, 741, 3536, 267, 543, 741, 4529, 941, 1373, 3838, 267, 855, 3388, 729, 538, 7087, 4654, 454, 1729, 334, 269, 594, 729, 538, 4095, 13474, 563, 23895, 30503, 1674, 543, 2318, 14751, 566, 616, 1271, 547, 5329, 721, 14762, 543, 14388, 269, 2913, 721, 782, 1711, 513, 4563, 13474, 713, 5988, 676, 22805, 4563, 1004, 267, 7802, 267, 3536, 2676, 663, 2528, 1472, 721, 269, 5269, 707, 1378, 1592, 540, 2081, 547, 8661, 267, 855, 1934, 616, 930, 540, 1250, 2093, 547, 23365, 6000, 563, 272, 269, 9359, 609, 4000, 267, 676, 796, 14048, 519, 2942, 5784, 540, 938, 3993, 2197, 269, 3367, 513, 1433, 827, 3979, 12977, 610, 979, 593, 11060, 585, 606, 3979, 3778, 3992, 269, 6258, 827, 519, 454, 28893, 10812, 3464, 945, 14612, 547, 519, 772, 2529, 269, 543, 1394, 267, 1354, 8474, 538, 1358, 595, 877, 6969, 19090, 676, 25909, 11709, 590, 1068, 9874, 563, 273, 19403, 827, 4563, 3778, 543, 17760, 29713, 538, 519, 1158, 267, 538, 519, 772, 2529, 269, 543, 538, 16855, 538, 513, 1433, 610, 593, 11060, 269, 4000, 779, 717, 3424, 547, 3013, 676, 808, 6993, 269, 29124, 267, 2349, 2931, 538, 16855, 676, 3220, 563, 313, 12329, 344, 23101, 267, 14730, 4518, 281, 634, 6355, 540, 26913, 676, 3220, 269, 2441, 344, 18412, 6261, 340, 329, 4673, 269, 1284, 616, 7996, 585, 3220, 269, 18412, 10658, 329, 4673, 779, 1433, 593, 3979, 4892, 538, 16855, 563, 274, 11053, 1779, 547, 1920, 2818, 543, 2828, 827, 2081, 547, 1863, 519, 2247, 540, 513, 10553, 610, 7810, 6497, 1275, 543, 3811, 2994, 596, 723, 8246, 547, 7753, 10168, 563, 275, 269, 5938, 548, 7483, 519, 9510, 2818, 538, 707, 1920, 543, 2307, 873, 827, 1920, 1686, 269, 3503, 1524, 1018, 789, 2161, 543, 2307, 2055, 269, 9105, 1946, 707, 1920, 6410, 689, 519, 3162, 610, 454, 3602, 616, 707, 1920, 8129, 543, 875, 1705, 596, 2097, 547, 2661, 538, 16855, 563, 276, 2529, 6269, 677, 4563, 1870, 267, 3906, 543, 5238, 667, 5085, 296, 21612, 2969, 5085, 312, 454, 323, 1005, 713, 3923, 269, 16179, 4563, 7801, 2835, 585, 707, 1453, 267, 1205, 1491, 13050, 689, 454, 14937, 14060, 267, 4444, 1018, 596, 991, 689, 4563, 4213, 267, 1256, 952, 621, 1611, 454, 2169, 571, 4674, 610, 7996, 585, 25855, 9753, 563, 277, 11482, 809, 585, 3688, 543, 13742, 538, 707, 1753, 602, 2769, 4563, 2528, 543, 454, 10177, 1885, 269, 1548, 616, 519, 2984, 3297, 9835, 2742, 779, 31910, 1206, 593, 707, 5127, 286, 1684, 596, 454, 17647, 4563, 1148, 538, 707, 1753, 286, 1548, 1920, 2984, 616, 4448, 547, 513, 4062, 540, 454, 325, 1248, 8132, 610, 4837, 2264, 286, 5269, 2386, 596, 1205, 513, 1863, 5299, 267, 676, 1977, 7731, 454, 11900, 4269, 267, 540, 2913, 779, 13185, 6168, 898, 256, 589, 1433, 16033, 908, 519, 9597, 1023, 593, 3557, 454, 1805, 22901, 543, 519, 5159, 945, 2813, 873, 563, 278, 269, 5970, 513, 7544, 5662, 1142, 1554, 547, 4563, 2575, 689, 20154, 338, 267, 547, 27227, 267, 547, 31522, 2676, 305, 261, 289, 543, 31177, 14929, 269, 3619, 998, 782, 519, 23929, 596, 666, 3314, 547, 519, 2575, 454, 9767, 2648, 269, 8347, 1007, 5159, 543, 2307, 519, 7820, 1920, 2818, 547, 4001, 596, 519, 454, 279, 269, 18744, 4585, 4563, 9413, 267, 570, 17679, 269, 2982, 267, 543, 4249, 593, 11060, 543, 593, 8613, 563, 9616, 875, 707, 5133, 2242, 950, 596, 23365, 3054, 538, 4563, 454, 30502, 269, 2142, 16496, 1759, 593, 707, 7099, 543, 2436, 596, 1616, 547, 1589, 454, 1372, 788, 569, 610, 14902, 3552, 569, 269, 853, 725, 543, 593, 11060, 2533, 616, 4881, 24299, 454, 5976, 4563, 3197, 713, 3923, 269, 8835, 6305, 814, 513, 18270, 622, 4563, 20717, 454, 338, 7685, 585, 4563, 3778, 13600, 563, 280, 15030, 792, 4563, 5071, 619, 269, 1411, 1522, 723, 513, 4024, 773, 310, 792, 6221, 538, 707, 5008, 564, 899, 454, 1889, 267, 543, 972, 616, 4563, 9858, 1312, 2199, 543, 25422, 602, 596, 666, 6488, 454, 1729, 5957, 267, 2436, 621, 568, 3004, 1097, 1234, 3150, 945, 6272, 585, 631, 7865, 548, 15525, 610, 5487, 5226, 534, 454, 29834, 945, 6272, 585, 3025, 563, 1015, 5861, 809, 2066, 519, 4563, 1158, 269, 769, 8956, 540, 4563, 3778, 13600, 267, 1946, 711, 454, 339, 11538, 5986, 1114, 4563, 32345, 689, 1472, 519, 1158, 286, 6258, 519, 454, 20931, 540, 21411, 571, 602, 14612, 689, 4000, 547, 3013, 269, 21411, 571, 666, 581, 11273, 538, 454, 3467, 2081, 982, 22304, 543, 23017, 269, 14929, 11017, 3627, 568, 513, 7573, 543, 17112, 267, 7013, 454, 323, 880, 602, 4422, 676, 1776, 2012, 609, 1114, 14546, 538, 519, 12144, 543, 454, 22152, 320, 269, 8347, 707, 3946, 693, 20299, 4618, 7573, 543, 17112, 543, 30645, 4779, 328, 4779, 328, 269, 2659, 454, 339, 4292, 19512, 786, 581, 19914, 585, 713, 8949, 3460, 563, 296, 723, 824, 2093, 602, 1331, 9683, 4563, 15882, 593, 1899, 267, 7658, 874, 11238, 513, 454, 14937, 1920, 4759, 610, 3659, 543, 982, 6362, 873, 585, 11587, 267, 15388, 519, 454, 14937, 22032, 17460, 11873, 267, 5885, 513, 4563, 6205, 610, 3919, 609, 454, 320, 2883, 21856, 267, 28617, 707, 2212, 1055, 609, 4563, 635, 539, 2103, 269, 2290, 540, 1250, 454, 325, 2948, 2572, 568, 16429, 21112, 543, 594, 1810, 1406, 1205, 547, 1294, 1864, 2614, 269, 1879, 594, 4585, 1010, 454, 2108, 306, 514, 21112, 7316, 772, 2142, 523, 892, 3381, 594, 14902, 693, 1010, 24668, 1586, 543, 1586, 269, 1215, 827, 454, 326, 1430, 532, 1920, 11147, 543, 21458, 267, 6580, 543, 1818, 12215, 585, 454, 22336, 821, 865, 602, 713, 26278, 9371, 786, 711, 581, 4503, 269, 1306, 513, 10564, 267, 513, 454, 24175, 2248, 542, 568, 547, 2328, 6965, 827, 782, 602, 568, 1271, 538, 707, 1272, 1247, 596, 454, 325, 1371, 593, 9363, 9308, 543, 15508, 1072, 538, 519, 5162, 3275, 269, 901, 568, 513, 454, 26211, 3923, 267, 855, 596, 666, 798, 835, 3364, 1142, 1554, 547, 8661, 4563, 1004, 543, 454, 712, 4241, 2081, 269, 8414, 4563, 3778, 13600, 269, 0, 3080, 540, 519, 1034, 4277, 1919, 827, 519, 5824, 1977, 2528, 568, 602, 649, 723, 454, 534, 8626, 27274, 3638, 3979, 6561, 602, 568, 28955, 538, 1082, 8286, 267, 9821, 2676, 323, 1734, 267, 543, 5389, 269, 3776, 1426, 568, 513, 3575, 540, 3864, 267, 6805, 267, 543, 3979, 454, 10177, 1885, 269, 901, 2063, 6803, 1895, 4547, 609, 873, 10346, 543, 2553, 602, 649, 454, 560, 650, 946, 538, 938, 6539, 29353, 563, 6097, 547, 1686, 2835, 267, 519, 1101, 10935, 2903, 540, 3979, 10437, 8452, 538, 27816, 454, 514, 476, 13923, 277, 543, 621, 729, 711, 2394, 476, 6977, 275, 602, 8474, 729, 27618, 267, 1863, 532, 936, 476, 2412, 267, 1822, 454, 16435, 2314, 269, 1717, 267, 519, 20552, 540, 8474, 538, 27816, 6039, 607, 513, 2797, 11802, 2676, 7224, 2804, 3800, 941, 3144, 547, 10018, 960, 547, 513, 5318, 2527, 540, 15685, 454, 16435, 2314, 267, 799, 3361, 1082, 540, 873, 547, 2132, 547, 741, 5449, 5411, 547, 4497, 538, 454, 8690, 566, 4074, 269, 634, 2349, 2931, 945, 941, 3144, 689, 4000, 543, 11843, 547, 3013, 454, 2421, 519, 3935, 9088, 1185, 547, 3082, 547, 513, 2732, 540, 519, 1426, 602, 729, 3177, 676, 519, 454, 1633, 14935, 269, 4340, 547, 968, 17442, 16024, 807, 632, 21007, 4793, 6319, 2223, 621, 568, 1634, 602, 538, 27816, 454, 1889, 520, 543, 8970, 941, 2016, 547, 519, 4563, 10437, 540, 519, 15183, 543, 602, 713, 2732, 729, 454, 1260, 921, 1540, 609, 930, 5613, 6738, 538, 519, 1858, 563, 1103, 1082, 12144, 2477, 609, 3979, 3310, 267, 865, 325, 761, 334, 568, 1031, 547, 3434, 607, 513, 454, 21353, 545, 7873, 2939, 269, 898, 568, 3622, 7768, 540, 19637, 267, 13342, 267, 18717, 267, 543, 14274, 563, 25486, 16201, 568, 3773, 547, 2285, 519, 3170, 513, 5835, 880, 2681, 269, 8342, 3832, 1500, 609, 2666, 12015, 454, 25468, 267, 14132, 267, 543, 865, 325, 761, 334, 729, 519, 1034, 8984, 8670, 540, 8474, 602, 2968, 454, 20200, 673, 1813, 547, 519, 2688, 13684, 676, 519, 24873, 5411, 563, 296, 3314, 1250, 20516, 936, 519, 23041, 1818, 2462, 10627, 2583, 540, 1187, 3832, 269, 594, 849, 454, 8145, 1897, 1250, 1390, 20516, 4189, 1187, 3832, 609, 1200, 3946, 267, 1210, 621, 547, 27653, 909, 454, 1492, 5779, 14036, 593, 1200, 6676, 269, 594, 2760, 4448, 519, 3239, 540, 519, 1079, 2021, 602, 454, 3333, 9464, 1250, 2648, 585, 5986, 547, 519, 1249, 602, 789, 941, 1312, 4563, 269, 594, 2760, 4280, 1250, 454, 6588, 526, 15948, 875, 1352, 4121, 547, 1118, 1187, 3832, 610, 1946, 649, 17696, 8342, 3832, 3006, 269, 594, 454, 6866, 6785, 602, 8342, 3832, 729, 513, 8670, 4535, 689, 8474, 269, 1879, 649, 1589, 540, 8342, 3832, 267, 621, 454, 529, 1175, 1945, 602, 938, 20516, 338, 1500, 609, 1100, 1686, 824, 982, 621, 729, 454, 3832, 777, 267, 2653, 267, 543, 11423, 563, 2690, 4563, 3778, 13600, 267, 594, 4734, 596, 513, 4528, 540, 519, 2757, 8342, 3832, 18498, 10722, 5964, 602, 454, 3240, 20516, 1031, 547, 1118, 269, 17949, 2336, 4433, 12883, 476, 279, 607, 513, 2427, 8670, 994, 273, 26486, 10448, 3282, 454, 272, 1507, 2848, 752, 2759, 538, 1507, 18695, 563, 272, 1507, 22323, 267, 546, 5367, 2676, 273, 804, 7174, 13342, 267, 1295, 1027, 563, 274, 3039, 19637, 267, 30000, 563, 275, 1507, 6653, 18717, 267, 546, 5367, 563, 272, 795, 531, 1901, 25123, 6079, 539, 543, 546, 5367, 563, 16006, 7484, 1295, 1027, 524, 559, 656, 549, 454, 272, 23188, 524, 6058, 454, 275, 11680, 540, 1216, 454, 272, 23188, 3045, 16201, 8869, 454, 273, 18324, 9398, 4262, 6070, 454, 273, 11680, 8970, 7912, 454, 1103, 513, 1804, 1494, 267, 3002, 519, 3282, 936, 5420, 3002, 269, 5410, 7750, 539, 2848, 752, 543, 3434, 28817, 609, 454, 320, 11308, 22635, 2394, 536, 27547, 269, 5410, 546, 5367, 19637, 543, 1295, 1027, 13342, 267, 3434, 2394, 454, 10520, 331, 1075, 550, 267, 827, 476, 276, 3764, 269, 5410, 3039, 19637, 267, 6653, 18717, 267, 795, 531, 1901, 25123, 267, 543, 454, 4290, 656, 549, 267, 3575, 3388, 2394, 1134, 5916, 269, 5410, 476, 275, 11680, 540, 1216, 269, 19308, 519, 454, 572, 1783, 902, 543, 3142, 547, 513, 14974, 269, 4495, 621, 568, 14495, 267, 1376, 4946, 519, 7912, 538, 513, 1507, 454, 26920, 1247, 28817, 609, 519, 11308, 22635, 269, 5269, 2386, 519, 7912, 568, 4625, 454, 323, 1170, 9407, 609, 1100, 561, 7927, 1354, 4946, 811, 7912, 269, 15566, 2394, 782, 519, 7912, 814, 454, 2041, 523, 3773, 269, 898, 786, 1376, 5394, 2287, 2864, 3533, 269, 1411, 1590, 13489, 7683, 547, 2057, 454, 1492, 8970, 7912, 8781, 547, 519, 5377, 269, 898, 568, 513, 4074, 1190, 1900, 267, 855, 621, 3085, 1406, 1491, 1454, 454, 5503, 269, 4495, 519, 8970, 7912, 25309, 782, 519, 1216, 543, 621, 814, 513, 14859, 344, 11007, 267, 2490, 454, 1492, 3002, 1055, 269, 18734, 519, 8342, 3832, 547, 513, 2620, 8670, 610, 11256, 8670, 267, 7903, 2182, 547, 3082, 454, 1492, 3337, 540, 519, 8670, 269, 4635, 513, 12285, 22883, 3121, 5347, 519, 1283, 269, 2913, 621, 3579, 693, 4055, 454, 339, 17687, 269, 1879, 4712, 547, 3548, 267, 2490, 519, 6676, 936, 513, 5969, 4604, 543, 20105, 519, 454, 306, 2925, 609, 11877, 8645, 543, 2182, 3043, 10381, 899, 535, 9508, 563, 347, 2414, 1265, 811, 10346, 3643, 1250, 3896, 912, 4178, 8807, 1161, 5151, 25659, 622, 2593, 610, 1246, 803, 593, 1514, 2923, 563, 293, 864, 1504, 281, 12866, 590, 5151, 6022, 622, 269, 12108, 1299, 17749, 281, 0, 763, 20726, 568, 519, 2012, 547, 1018, 513, 1610, 19708, 1905, 626, 779, 3924, 14122, 269, 1358, 1489, 543, 4383, 7606, 609, 2168, 9124, 602, 949, 581, 13251, 676, 513, 3099, 540, 2175, 267, 1519, 2068, 267, 8194, 610, 2025, 2085, 5861, 515, 1188, 719, 21220, 13135, 4284, 23956, 2986, 29430, 10830, 585, 811, 9623 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7387, 2731, 25998, 780, 3086, 649, 1205, 547, 1776, 540, 1346, 5187, 5874, 269, 1703, 779, 513, 2898, 1858, 540, 3069, 1934, 602, 594, 6557, 1175, 1688, 342, 3058, 547, 1832, 713, 2649, 1043, 780, 1103, 1840, 547, 519, 32447, 7387, 267, 972, 779, 1945, 1572, 519, 26634, 6512, 269, 634, 26634, 6512, 568, 519, 1985, 6475, 7387, 856, 689, 519, 32447, 7387, 269, 1879, 1648, 568, 3773, 547, 606, 11046, 267, 621, 666, 7903, 9211, 20733, 676, 513, 7387, 1377, 538, 513, 1184, 1572, 10761, 269, 1879, 606, 9599, 6475, 568, 538, 519, 26634, 6512, 267, 621, 779, 3893, 2614, 1648, 547, 1847, 1472, 1063, 1114, 8444, 780, 763, 19428, 540, 513, 1570, 568, 5462, 676, 519, 3017, 1063, 519, 1648, 6512, 540, 922, 32447, 6475, 7387, 543, 922, 26634, 6512, 269, 1879, 519, 32447, 7387, 543, 519, 26634, 6512, 16937, 267, 519, 1570, 29377, 5201, 1134, 267, 543, 621, 779, 1572, 513, 18364, 269, 2353, 8407, 616, 26423, 269, 1879, 972, 779, 513, 1713, 9668, 1063, 519, 32447, 7387, 543, 26634, 6512, 267, 621, 779, 513, 1875, 8410, 2265, 528, 269, 4107, 1875, 31475, 1023, 3514, 883, 713, 7121, 269, 7053, 267, 972, 779, 513, 3791, 1895, 540, 2326, 602, 13352, 538, 1063, 1107, 1141, 922, 32447, 7387, 543, 922, 26634, 6512, 616, 2673, 267, 855, 711, 20718, 269, 1452, 616, 519, 15373, 832, 269, 1284, 2461, 2469, 547, 2911, 513, 2603, 827, 873, 267, 855, 649, 3580, 2097, 1394, 547, 602, 538, 513, 2370, 3787, 269, 6969, 649, 666, 2731, 2911, 827, 873, 267, 649, 991, 547, 1174, 875, 606, 5122, 5547, 1568, 780, 3383, 1577, 779, 1589, 827, 513, 2241, 5547, 1107, 513, 6007, 4448, 547, 513, 1769, 15941, 269, 1284, 4076, 3893, 1079, 23525, 1107, 513, 2318, 12363, 267, 543, 513, 2942, 12363, 267, 609, 1114, 5122, 4610, 269, 1403, 972, 779, 513, 2619, 602, 9211, 666, 1847, 998, 1063, 519, 23525, 267, 1287, 972, 786, 581, 606, 30402, 12067, 3196, 3812, 676, 519, 2361, 602, 24864, 519, 9211, 689, 519, 2942, 547, 519, 2318, 2394, 519, 4610, 616, 3160, 1242, 269, 769, 1063, 267, 649, 723, 519, 1769, 15941, 267, 799, 3568, 1945, 602, 3884, 1406, 513, 1360, 1434, 18364, 1107, 855, 972, 779, 602, 30402, 12067, 3196, 11319, 519, 9211, 269, 1403, 621, 779, 2178, 2614, 547, 7903, 998, 519, 4617, 18364, 267, 621, 786, 3002, 621, 909, 267, 543, 2014, 621, 547, 16657, 267, 10438, 930, 540, 519, 1648, 602, 779, 8659, 538, 519, 3017, 1063, 519, 4610, 540, 519, 6007, 23525, 269, 1924, 9211, 1205, 14593, 689, 519, 2942, 12363, 998, 519, 5911, 267, 998, 519, 15941, 267, 543, 782, 519, 1259, 547, 519, 2318, 12363, 269, 769, 713, 5547, 267, 649, 1289, 519, 4222, 540, 519, 3017, 1063, 519, 5122, 4610, 540, 519, 23525, 6453, 267, 543, 649, 1289, 519, 1297, 540, 9211, 1373, 6410, 1699, 780, 2171, 4043, 547, 1589, 540, 621, 607, 952, 9211, 616, 3001, 689, 519, 2942, 12363, 547, 519, 2318, 267, 855, 602, 779, 711, 2731, 3020, 269, 5082, 6425, 1810, 1406, 1847, 1360, 2484, 693, 782, 269, 1809, 519, 3196, 9070, 919, 998, 519, 6531, 540, 9211, 538, 513, 18364, 693, 5176, 519, 3432, 540, 1769, 267, 543, 2094, 1367, 9211, 616, 967, 626, 3907, 27720, 267, 676, 15007, 649, 1175, 2161, 602, 606, 6475, 7575, 998, 519, 5547, 267, 950, 1018, 2965, 7575, 568, 1945, 811, 899, 513, 5951, 540, 3196, 3812, 676, 519, 18312, 5122, 4610, 780, 1012, 590, 2438, 13503, 832, 692, 763, 2623, 540, 15373, 832, 568, 693, 519, 2295, 540, 513, 2603, 540, 2413, 11418, 269, 1809, 649, 1810, 1406, 2731, 946, 873, 538, 741, 6986, 1533, 269, 1548, 2306, 15373, 832, 3226, 3407, 568, 602, 649, 666, 1689, 741, 3601, 543, 19428, 1210, 513, 1184, 1572, 546, 14563, 269, 667, 14563, 568, 1175, 791, 27389, 908, 519, 12627, 2497, 540, 513, 19202, 609, 1776, 11046, 630, 322, 718, 617, 513, 17585, 656, 264, 602, 2242, 519, 1259, 621, 31136, 269, 634, 12627, 2497, 540, 15373, 832, 1683, 1079, 2081, 540, 546, 14563, 602, 616, 4143, 547, 5904, 281, 715, 1673, 14563, 267, 543, 623, 1673, 14563, 780, 291, 14563, 17838, 513, 19202, 547, 513, 18364, 1107, 855, 513, 18364, 609, 1880, 3601, 602, 4096, 593, 519, 17585, 656, 780, 4131, 779, 1413, 693, 513, 2203, 540, 513, 13339, 12627, 269, 901, 3884, 1406, 2731, 875, 621, 5654, 1107, 621, 779, 513, 476, 273, 291, 2203, 547, 581, 28505, 630, 8117, 713, 568, 519, 3044, 1259, 602, 621, 779, 11609, 538, 9499, 4700, 3962, 13339, 11046, 814, 476, 275, 32447, 9211, 269, 1924, 621, 3029, 883, 513, 12627, 1141, 1142, 13339, 11046, 568, 11303, 676, 476, 275, 824, 13339, 8444, 267, 543, 1142, 11046, 540, 13339, 8843, 835, 540, 922, 9211, 609, 1142, 540, 922, 12543, 1107, 865, 602, 519, 12627, 31136, 3592, 607, 952, 519, 32447, 16115, 941, 2347, 780, 2691, 649, 715, 1673, 2100, 13339, 630, 335, 18166, 606, 715, 15178, 19202, 1070, 649, 1039, 1945, 602, 2242, 519, 1259, 602, 9211, 1205, 3838, 538, 519, 12627, 2497, 865, 602, 930, 540, 519, 9211, 616, 811, 5985, 269, 1280, 1383, 267, 513, 2731, 1455, 715, 1673, 641, 656, 568, 1912, 6664, 11501, 269, 1912, 6664, 11501, 814, 476, 276, 32447, 9211, 269, 1879, 621, 4991, 29689, 883, 513, 13339, 12627, 267, 1142, 11046, 540, 943, 30950, 639, 568, 11303, 676, 2185, 8444, 540, 13339, 269, 634, 8444, 2671, 9211, 538, 519, 1482, 1259, 607, 538, 513, 6986, 13339, 11046, 1107, 1142, 11046, 8843, 606, 6475, 6292, 609, 1142, 540, 922, 2185, 12543, 269, 1809, 519, 16903, 11046, 814, 606, 3063, 32447, 6475, 799, 3884, 1406, 19610, 269, 2334, 10002, 8529, 6475, 666, 3362, 7914, 1472, 1107, 609, 621, 543, 519, 824, 10859, 6954, 9211, 1472, 16903, 8444, 538, 519, 12627, 24775, 1969, 532, 3592, 899, 519, 6531, 9211, 538, 513, 4496, 269, 1879, 596, 4019, 513, 3196, 1210, 606, 3167, 2361, 267, 519, 1863, 9211, 786, 1847, 538, 3210, 547, 602, 3196, 1107, 519, 19202, 568, 1631, 513, 15116, 18364, 780, 2691, 649, 623, 1673, 2100, 13339, 630, 335, 18166, 267, 596, 31665, 621, 256, 1107, 513, 623, 15178, 19202, 267, 649, 2461, 3257, 1945, 2147, 1107, 649, 2461, 2870, 513, 968, 16451, 892, 5279, 1770, 602, 666, 1847, 1472, 538, 519, 12627, 267, 855, 649, 2461, 3257, 538, 538, 513, 4990, 6361, 6587, 4287, 269, 1284, 6338, 1945, 799, 3085, 1406, 723, 3833, 2614, 9211, 547, 3514, 9985, 883, 519, 13339, 24775, 269, 1280, 1383, 267, 16907, 517, 568, 4122, 1031, 607, 513, 623, 1673, 641, 656, 269, 16907, 517, 1152, 814, 476, 274, 32447, 9211, 269, 1924, 950, 621, 779, 7471, 883, 513, 13339, 12627, 267, 621, 8843, 513, 32447, 6475, 609, 1614, 540, 922, 12543, 1107, 855, 972, 779, 835, 7508, 1107, 513, 8559, 1141, 606, 6475, 666, 3514, 269, 1284, 666, 1589, 540, 602, 8559, 607, 513, 29660, 12268, 1834, 609, 513, 2318, 5279, 269, 769, 519, 1482, 1259, 602, 519, 968, 16451, 892, 6475, 540, 519, 715, 1673, 25660, 13339, 666, 1847, 1472, 519, 12627, 267, 713, 1863, 6475, 8559, 666, 1847, 1472, 519, 12627, 1107, 855, 621, 7575, 538, 519, 6587, 4287, 982, 606, 6475, 1131, 780, 2304, 1271, 3364, 547, 1174, 1934, 568, 602, 17585, 539, 13339, 568, 1869, 30788, 9243, 269, 589, 4062, 540, 715, 1673, 25660, 13339, 3085, 1406, 723, 513, 2942, 5279, 267, 543, 623, 1673, 25660, 13339, 3085, 1406, 723, 513, 2318, 5279, 269, 667, 14563, 519, 13339, 18387, 1406, 4957, 519, 1249, 602, 519, 10997, 616, 7059, 1107, 519, 13339, 568, 814, 513, 9243, 5279, 1312, 1354, 543, 1310, 546, 14563, 256, 5502, 267, 715, 1673, 14563, 814, 10736, 513, 19202, 547, 513, 18364, 602, 2636, 9211, 547, 1847, 998, 519, 26543, 24775, 282, 543, 623, 1673, 14563, 814, 10736, 621, 547, 513, 18364, 602, 2636, 2318, 10997, 547, 2095, 998, 519, 24775, 780, 301, 15178, 543, 623, 15178, 13339, 676, 2933, 5749, 1406, 782, 602, 4277, 269, 1358, 616, 15373, 832, 602, 723, 1044, 26947, 12012, 547, 2932, 5201, 1732, 267, 855, 789, 2461, 711, 607, 1434, 693, 10647, 607, 513, 8799, 4062, 540, 4496, 269, 1548, 2306, 873, 4277, 568, 1018, 4523, 950, 596, 1376, 547, 2322, 873, 1927, 780, 763, 14724, 1383, 630, 528, 267, 693, 2547, 267, 519, 14724, 835, 602, 594, 1174, 14386, 1383, 568, 513, 26534, 267, 799, 568, 1175, 513, 4062, 540, 715, 1673, 25660, 13339, 4448, 547, 513, 4062, 540, 623, 1673, 25660, 13339, 780, 8489, 789, 3346, 267, 513, 19619, 540, 9211, 689, 519, 715, 15178, 13339, 786, 7914, 2066, 519, 7934, 547, 6445, 9475, 538, 519, 623, 15178, 13339, 269, 901, 5932, 513, 3148, 2059, 519, 10465, 602, 3085, 1406, 723, 1863, 9211, 610, 9475, 267, 901, 3148, 568, 1572, 519, 22930, 7997, 269, 2368, 540, 519, 9475, 593, 519, 623, 20933, 616, 4904, 676, 9211, 689, 519, 715, 20933, 267, 865, 602, 1631, 267, 593, 519, 623, 2427, 267, 649, 4076, 2965, 3893, 513, 13581, 2942, 5279, 267, 543, 593, 519, 715, 2427, 267, 649, 4076, 3893, 513, 13581, 2318, 5279, 269, 901, 5932, 606, 3167, 2361, 602, 11151, 811, 9211, 593, 519, 715, 2427, 689, 15385, 519, 22930, 7997, 547, 6445, 9475, 593, 519, 623, 2427, 780, 1432, 4523, 952, 649, 4019, 513, 6453, 547, 519, 2942, 2427, 286, 901, 24864, 9211, 547, 1847, 1107, 543, 609, 2614, 3196, 267, 789, 3580, 1376, 547, 7914, 519, 7934, 2813, 676, 519, 22930, 7997, 269, 898, 3217, 930, 6453, 547, 1205, 621, 3323, 267, 1317, 540, 519, 5122, 2361, 1472, 519, 22930, 7997, 267, 855, 609, 930, 3196, 630, 20200, 1227, 513, 3787, 1447, 982, 513, 18699, 1070, 519, 9211, 786, 1376, 3001, 267, 3592, 607, 952, 596, 1185, 606, 1930, 5547, 780, 3719, 1018, 4523, 952, 596, 9258, 519, 23525, 286, 3973, 596, 723, 513, 3196, 11319, 9211, 538, 519, 6587, 4287, 269, 1284, 4076, 3893, 606, 5122, 2361, 3843, 547, 7903, 9211, 883, 519, 623, 2427, 540, 519, 26534, 269, 5082, 6425, 1376, 11423, 9475, 538, 519, 623, 15178, 2427, 267, 799, 1175, 4679, 519, 2450, 540, 519, 22930, 7997, 267, 1818, 621, 1256, 9875, 547, 7903, 513, 1699, 2066, 602, 7934, 269, 634, 811, 6453, 649, 4019, 267, 519, 3677, 519, 22930, 7997, 4991, 267, 543, 519, 811, 6453, 649, 1131, 991, 547, 4019, 547, 1205, 513, 1699, 2066, 780, 763, 26534, 29377, 5201, 689, 715, 547, 623, 267, 855, 711, 689, 623, 547, 715, 269, 1635, 9256, 715, 543, 623, 1826, 13339, 267, 649, 2461, 2111, 547, 1711, 513, 835, 17574, 11896, 1107, 513, 5057, 799, 1152, 29377, 1699, 538, 835, 4287, 2439, 1607, 568, 519, 1101, 1900, 2509, 513, 2780, 281, 1852, 875, 9211, 1847, 998, 513, 5547, 267, 7303, 873, 689, 1739, 1978, 10092, 780, 9202, 942, 649, 3580, 1413, 693, 27820, 267, 799, 616, 1141, 1919, 1376, 3478, 6422, 256, 634, 24923, 568, 513, 6467, 1510, 3001, 2694, 267, 543, 621, 779, 519, 2295, 540, 2413, 11418, 780, 1012, 22108, 692, 296, 4076, 1044, 3168, 693, 513, 2603, 540, 4025, 547, 948, 2322, 713, 1927, 269, 3371, 779, 930, 1434, 6402, 602, 594, 1031, 269, 594, 6557, 2386, 594, 14406, 930, 267, 865, 594, 23294, 1125, 538, 4434, 256, 0, 1103, 1109, 275, 628, 3446, 4976, 1109, 277, 1577, 779, 4194, 519, 476, 1428, 2055, 593, 1297, 267, 2188, 543, 23385, 269, 1452, 616, 519, 2259, 1449, 2055, 593, 2338, 267, 2188, 543, 23385, 780, 272, 269, 1109, 2237, 519, 1739, 2338, 538, 27766, 1384, 9217, 264, 5565, 4627, 13977, 8370, 10484, 23870, 264, 12866, 4627, 24239, 835, 692, 31702, 264, 1530, 1203, 344, 835, 8536, 5216, 4627, 19939, 692, 263, 643, 264, 5565, 4627, 8938, 1614, 8536, 562, 31106, 692, 273, 269, 1109, 2237, 519, 1739, 2338, 538, 1913, 1384, 9217, 264, 476, 274, 267, 27886, 267, 3583, 276, 692, 23870, 264, 476, 278, 2641, 267, 277, 4366, 267, 3374, 280, 692, 31702, 264, 476, 1015, 267, 27888, 692, 263, 643, 264, 476, 5325, 267, 9826, 692, 274, 269, 1109, 2237, 519, 1739, 2338, 538, 9450, 1106, 1384, 9217, 264, 476, 31874, 277, 4391, 10484, 23870, 264, 476, 7176, 278, 4792, 275, 274, 692, 275, 269, 3503, 519, 1739, 2338, 267, 2016, 538, 9450, 1106, 267, 538, 3044, 1106, 1384, 9217, 264, 476, 4335, 1822, 1341, 476, 4335, 876, 1341, 476, 4335, 271, 1341, 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 ]
[ 15369, 21126, 593, 5822, 5678, 4804, 454, 21104, 725, 540, 15465, 23008, 2524, 454, 10955, 6002, 27707, 974, 26701, 2103, 523, 12770, 808, 269, 22859, 714, 632, 21780, 334, 5633, 25592, 5451, 10722, 14162, 27254, 776, 9375, 11412, 2946, 667, 597, 1597, 454, 5825, 720, 15369, 21126, 593, 5822, 5678, 4804, 3798, 1243, 676, 1855, 25564, 27974, 1512, 7224, 590, 21417, 1066, 6489, 10507, 330, 843, 11420, 454, 25835, 476, 7818, 268, 274, 268, 1556, 268, 271, 4391, 278, 3953, 268, 274, 552, 268, 25835, 630, 14457, 264, 476, 7818, 268, 274, 268, 1556, 268, 271, 4391, 5952, 273, 268, 279, 552, 268, 25835, 630, 7968, 18510, 264, 476, 7818, 268, 274, 268, 1556, 268, 271, 4375, 23283, 268, 276, 31192, 476, 5908, 272, 268, 2412, 278, 279, 7732, 540, 6837, 18280, 690, 532, 2987, 6261, 3016, 566, 4578, 589, 595, 7709, 17048, 2594, 585, 713, 1433, 814, 1044, 4294, 585, 693, 519, 7732, 540, 6837, 269, 24157, 4919, 1344, 3370, 676, 519, 1546, 583, 22385, 2817, 321, 9560, 6139, 330, 634, 1546, 583, 22385, 2817, 321, 9560, 6139, 330, 8638, 713, 8313, 538, 519, 1546, 583, 22385, 2817, 321, 9560, 690, 571, 325, 773, 282, 2143, 12190, 4919, 1239, 616, 2139, 593, 519, 5769, 693, 5291, 2517, 323, 333, 321, 6155, 333, 321, 19709, 269, 9736, 476, 1001, 276, 19124, 632, 30421, 344, 614, 717, 3387, 295, 267, 12670, 20324, 10667, 9537, 23293, 281, 623, 9143, 5174, 518, 4802, 267, 5019, 6210, 6874, 13052, 6261, 3174, 717, 3387, 295, 267, 12670, 24614, 543, 11006, 281, 8713, 296, 2835, 717, 3387, 295, 267, 2274, 1188, 2340, 503, 378, 7179, 539, 593, 3679, 6954, 1957, 7179, 539, 538, 2983, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 700, 20315, 308, 17803, 8121, 4811, 1299, 20591, 5746, 12195, 2562, 2464, 1315, 7732, 1299, 6176, 3163, 1315, 19964, 1299, 7981, 23905, 1315, 7467, 769, 26197, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 5843, 325, 12099, 543, 11038, 29621, 692, 8702, 547, 938, 1576, 1770, 593, 29370, 12099, 543, 2883, 10014, 256, 1411, 1522, 4898, 1018, 891, 2474, 1611, 543, 1946, 789, 616, 1271, 269, 2913, 781, 4685, 1318, 538, 543, 2263, 873, 1927, 2439, 5331, 596, 723, 513, 1390, 2856, 585, 513, 1507, 1870, 9513, 29586, 14446, 267, 855, 596, 1810, 1405, 723, 2614, 2724, 547, 4444, 7727, 269, 2107, 5310, 707, 1920, 6499, 547, 1376, 513, 10448, 4677, 693, 1753, 267, 855, 2115, 5452, 543, 2645, 269, 1215, 1223, 596, 1205, 519, 7482, 2877, 547, 2490, 1346, 9909, 883, 4641, 286, 2334, 781, 1141, 29370, 12099, 2501, 538, 2439, 1262, 1432, 568, 29370, 12099, 286, 12533, 10900, 692, 19859, 325, 12099, 4016, 547, 3246, 1507, 12029, 267, 9806, 3255, 267, 6142, 267, 543, 824, 2596, 2883, 2533, 547, 1970, 13867, 2043, 945, 798, 711, 723, 1569, 547, 2757, 12948, 2533, 269, 1452, 1004, 616, 1419, 1572, 519, 834, 684, 23810, 539, 1701, 1635, 5356, 873, 1898, 2883, 2200, 267, 649, 948, 7668, 873, 547, 2087, 741, 2729, 543, 9101, 6710, 780, 265, 4131, 781, 1491, 7705, 267, 513, 2182, 11529, 4807, 2713, 538, 513, 6917, 8498, 538, 24063, 269, 2701, 4121, 875, 547, 18055, 4190, 9660, 543, 1131, 899, 547, 6133, 1200, 13144, 538, 2199, 6990, 269, 1717, 267, 1352, 3085, 1405, 723, 1022, 2724, 10710, 909, 2943, 269, 3414, 513, 29370, 12099, 1982, 267, 7705, 11392, 513, 10211, 602, 2636, 1200, 547, 6718, 5958, 543, 8142, 269, 17652, 267, 1352, 6238, 15980, 4747, 689, 1200, 6455, 543, 17188, 1394, 519, 10211, 936, 942, 269, 22177, 1262, 3963, 568, 2883, 10014, 2629, 286, 12533, 5785, 19030, 26296, 10014, 1797, 4758, 3025, 3160, 1569, 547, 10097, 543, 10375, 2883, 2472, 543, 2533, 269, 1879, 811, 1004, 666, 946, 8492, 543, 2147, 5238, 267, 621, 5012, 547, 1732, 2359, 540, 2123, 18083, 267, 4027, 1996, 4220, 267, 5092, 538, 4213, 267, 543, 2949, 6454, 538, 2298, 540, 1272, 269, 898, 849, 8309, 547, 519, 2197, 781, 2804, 2208, 780, 265, 13914, 827, 7585, 267, 1776, 17055, 540, 7705, 781, 8498, 269, 1261, 17990, 1010, 15271, 1169, 3018, 538, 513, 20220, 6456, 896, 1010, 5127, 269, 2290, 1554, 267, 3775, 1499, 21102, 519, 20220, 269, 1403, 7585, 1185, 1569, 547, 513, 4871, 2272, 267, 646, 9327, 1405, 991, 547, 5855, 827, 17403, 269, 5047, 267, 2348, 513, 2922, 1747, 547, 4688, 786, 5000, 1864, 547, 2322, 11735, 1256, 811, 2724, 1142, 3923, 256, 22177, 1262, 1692, 1281, 29370, 12099, 960, 286, 12533, 10900, 19567, 23777, 1227, 267, 3906, 1634, 607, 29370, 12099, 5238, 1683, 12029, 547, 2516, 540, 10210, 619, 2864, 982, 1367, 7218, 269, 3962, 1895, 4759, 18715, 23231, 618, 540, 1866, 262, 12029, 1369, 741, 2146, 267, 2870, 3972, 543, 1489, 1851, 5171, 269, 1306, 1004, 2628, 1055, 741, 3355, 12029, 267, 789, 1831, 14718, 585, 3677, 3283, 267, 3056, 547, 2417, 7269, 540, 741, 4213, 780, 265, 2691, 7705, 8678, 1200, 8498, 781, 29370, 12099, 1895, 267, 1352, 1558, 1082, 11121, 2021, 609, 1114, 16904, 971, 607, 8105, 267, 4739, 1818, 267, 543, 1426, 642, 2056, 269, 1358, 3838, 2833, 267, 2591, 267, 543, 1967, 2984, 1247, 5885, 835, 1776, 1282, 2352, 2053, 269, 22177, 1103, 3932, 267, 29370, 12099, 543, 2883, 10014, 1404, 4105, 5107, 538, 5009, 7862, 267, 4227, 6710, 267, 543, 5807, 2804, 1646, 5001, 269, 25085, 532, 9207, 5703, 2950, 998, 1569, 547, 2883, 2533, 5932, 11995, 7399, 585, 2043, 899, 7705, 543, 7585, 267, 13321, 741, 2729, 543, 7700, 9797, 547, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 308, 326, 7701, 543, 519, 22558, 293, 454, 303, 20191, 22159, 15613, 14430, 630, 11266, 9915, 338, 994, 10403, 19478, 3502, 2305, 454, 303, 20191, 22159, 15613, 7433, 454, 2304, 10811, 23959, 543, 15873, 476, 272, 630, 18891, 22995, 994, 274, 269, 634, 24770, 661, 2784, 1709, 15613, 454, 275, 269, 5839, 549, 11296, 6617, 267, 5420, 268, 543, 1279, 3856, 18820, 6286, 454, 1993, 519, 18027, 4338, 454, 2304, 10811, 7305, 476, 272, 281, 17644, 267, 9072, 543, 10832, 538, 519, 18027, 4338, 476, 1220, 271, 454, 1607, 1957, 568, 513, 10282, 540, 519, 1292, 2934, 540, 519, 6554, 540, 24063, 781, 24770, 661, 2784, 1709, 11059, 4643, 630, 14154, 4338, 1040, 634, 18027, 4338, 814, 11461, 519, 19862, 540, 2229, 3609, 2094, 922, 27299, 538, 476, 1960, 278, 267, 543, 568, 4867, 1373, 15428, 269, 7201, 713, 1544, 267, 24063, 568, 1373, 9927, 883, 513, 2413, 4346, 538, 799, 1004, 538, 782, 9922, 666, 7119, 538, 2804, 2208, 269, 901, 10522, 513, 1297, 540, 2175, 912, 308, 326, 7701, 781, 24770, 661, 2784, 1709, 11059, 4643, 630, 14154, 4338, 264, 568, 3964, 593, 2185, 2101, 22225, 912, 763, 14469, 540, 519, 18027, 4338, 538, 476, 1220, 271, 14405, 593, 519, 3356, 1500, 2094, 476, 1960, 278, 267, 1519, 519, 1646, 540, 5823, 17253, 4485, 267, 519, 29355, 1382, 5645, 856, 676, 519, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19859, 325, 12099, 543, 11038, 29621, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 4886, 1315, 9483, 4886, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 513, 30152, 2244, 267, 972, 941, 1614, 1655, 2828, 3957, 932, 597, 6853, 267, 570, 933, 1214, 267, 543, 918, 5942, 269, 1358, 941, 2027, 5017, 945, 1185, 519, 2702, 547, 8038, 1279, 9883, 1282, 1114, 12405, 269, 5272, 1032, 267, 789, 1131, 22109, 689, 8235, 13343, 547, 8235, 18557, 543, 1287, 547, 8235, 5507, 780, 3080, 13566, 1554, 267, 1247, 10760, 936, 4190, 3039, 4610, 267, 932, 597, 6853, 4280, 1010, 2828, 267, 834, 12441, 596, 2479, 1589, 827, 875, 2484, 649, 2951, 1169, 4005, 8119, 570, 933, 1214, 14452, 267, 834, 11039, 267, 594, 917, 602, 8235, 13343, 543, 8235, 18557, 616, 476, 2004, 5195, 6306, 269, 1656, 2094, 649, 616, 8938, 5017, 267, 1142, 4005, 950, 649, 979, 547, 8235, 18557, 267, 649, 1590, 723, 2095, 333, 513, 8536, 5195, 1927, 15323, 298, 5942, 8678, 519, 6643, 6031, 267, 834, 6546, 781, 1318, 256, 1809, 1810, 1405, 7340, 282, 1310, 8235, 18557, 267, 649, 3136, 938, 3460, 547, 8235, 5507, 799, 568, 1776, 476, 2568, 5195, 2476, 1701, 19196, 1243, 569, 267, 932, 597, 6853, 1767, 267, 834, 3383, 602, 1797, 649, 1039, 1346, 5195, 1932, 256, 2334, 2306, 621, 476, 272, 267, 1220, 5195, 15587, 15323, 29310, 267, 789, 7691, 741, 2898, 9194, 4988, 606, 11141, 476, 273, 267, 1220, 5195, 256, 901, 6602, 1500, 873, 5660, 741, 5759, 1256, 811, 543, 14952, 693, 2470, 781, 13300, 269, 1717, 267, 1945, 6397, 5949, 593, 741, 1259, 1394, 1753, 269, 9603, 547, 2916, 1689, 7133, 741, 9249, 267, 789, 1336, 856, 602, 8235, 13343, 729, 1100, 3476, 5078, 585, 2713, 269, 4256, 2899, 2922, 1753, 729, 1631, 26130, 543, 5906, 780, 2419, 597, 6853, 8909, 569, 6743, 1472, 543, 9289, 16965, 267, 834, 1432, 786, 4755, 547, 721, 1631, 286, 1284, 666, 1405, 2661, 1934, 15042, 10590, 589, 8797, 2025, 22559, 16841, 4862, 741, 4145, 543, 2220, 17274, 539, 1524, 269, 1261, 6045, 875, 1480, 2238, 3006, 1860, 2470, 11874, 543, 6700, 789, 1413, 585, 513, 1007, 1747, 547, 1628, 741, 9566, 1107, 3450, 3025, 602, 1620, 543, 18245, 2257, 849, 1611, 7863, 938, 1604, 585, 782, 7068, 1390, 543, 1507, 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, 28490, 476, 736, 5017, 22109, 689, 10720, 13343, 547, 10720, 18557, 267, 799, 616, 476, 2004, 5195, 6306, 267, 538, 835, 4005, 267, 543, 1287, 8038, 689, 10720, 18557, 547, 10720, 5507, 267, 476, 2568, 5195, 6306, 267, 538, 519, 1985, 4005, 267, 1018, 568, 519, 2698, 3845, 14612, 676, 782, 540, 519, 5017, 538, 519, 1079, 12405, 888, 1103, 835, 4005, 267, 519, 5017, 22109, 689, 10720, 13343, 547, 10720, 18557, 267, 799, 568, 513, 3845, 540, 476, 2004, 5195, 563, 2252, 972, 616, 476, 736, 5017, 267, 1287, 519, 2698, 3845, 14612, 676, 782, 519, 5017, 568, 476, 2004, 5195, 1535, 476, 736, 5017, 815, 476, 1911, 271, 5195, 563, 1103, 519, 1985, 4005, 267, 519, 5017, 8038, 689, 10720, 18557, 547, 10720, 5507, 267, 799, 568, 513, 3845, 540, 476, 2568, 5195, 563, 26139, 267, 952, 972, 616, 476, 736, 5017, 267, 1287, 519, 2698, 3845, 14612, 676, 782, 519, 5017, 568, 476, 2568, 5195, 1535, 476, 736, 5017, 815, 476, 6344, 271, 5195, 563, 11997, 267, 538, 519, 1079, 12405, 5916, 267, 519, 5017, 14612, 513, 2698, 3845, 540, 476, 1911, 271, 5195, 1341, 476, 6344, 271, 5195, 815, 476, 13136, 271, 5195, 563, 2971, 476, 13136, 271, 454, 763, 2626, 568, 281, 476, 13136, 271, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 713, 2985, 454, 22416, 3279, 11099, 602, 8840, 1524, 2686, 7496, 267, 2679, 513, 2486, 593, 10014, 602, 2418, 4763, 267, 5036, 721, 538, 6236, 519, 824, 1268, 607, 8449, 3407, 267, 3976, 267, 8380, 721, 538, 513, 4282, 540, 606, 5571, 1565, 1184, 602, 2488, 519, 7872, 540, 8994, 1620, 543, 519, 991, 585, 8994, 6284, 540, 2686, 9163, 269, 1677, 713, 1198, 267, 5689, 3279, 11179, 27786, 543, 21697, 519, 2115, 540, 6267, 547, 2327, 602, 519, 2069, 1062, 8992, 513, 2528, 540, 5188, 543, 11180, 2418, 267, 2870, 513, 2230, 585, 2146, 2679, 693, 519, 3084, 1377, 267, 998, 513, 1297, 540, 1655, 2853, 563, 22416, 3279, 814, 17298, 3875, 3800, 538, 4276, 609, 519, 6388, 540, 5689, 3279, 779, 20353, 7949, 16949, 15613, 543, 11059, 4643, 910, 17496, 476, 1708, 271, 968, 19860, 9680, 6938, 3582, 815, 645, 5085, 32670, 5058, 892, 912, 268, 634, 12080, 585, 4065, 543, 25477, 630, 300, 3633, 292, 264, 1305, 909, 513, 2290, 17547, 19255, 1369, 32212, 292, 269, 634, 2290, 17547, 19255, 2488, 4142, 545, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 11554, 18648, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 4317, 11762, 1315, 24770, 1299, 13067, 6804, 1145, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 589, 1906, 1296, 1394, 267, 594, 1336, 8885, 7184, 31737, 538, 519, 1158, 540, 3349, 9008, 11080, 1765, 14588, 32496, 267, 2112, 3756, 865, 13395, 789, 1500, 1250, 2828, 262, 4064, 1350, 10270, 936, 8164, 594, 6836, 547, 2491, 873, 269, 898, 729, 1250, 6612, 267, 855, 711, 1945, 594, 2479, 2219, 1131, 12969, 609, 1250, 18523, 10279, 269, 2334, 782, 4957, 950, 5245, 9307, 922, 5767, 5313, 9550, 780, 2026, 594, 1085, 9776, 998, 1514, 2923, 267, 561, 3512, 532, 519, 3668, 540, 3007, 2016, 547, 4108, 1686, 2069, 7616, 267, 594, 16686, 2390, 513, 2022, 827, 519, 8241, 14130, 543, 922, 28031, 802, 269, 2271, 29098, 267, 594, 1642, 1386, 4514, 267, 12423, 2798, 476, 272, 547, 476, 275, 13890, 1657, 269, 1809, 621, 729, 1448, 476, 276, 267, 834, 16524, 518, 2474, 2437, 602, 9575, 1250, 3750, 543, 17275, 606, 2856, 780, 25938, 2209, 4196, 3670, 4458, 2474, 3379, 547, 2818, 540, 519, 5600, 540, 24929, 945, 1152, 4196, 1614, 4458, 2474, 269, 1656, 972, 621, 729, 910, 1250, 6679, 256, 1403, 594, 1223, 1205, 2614, 1004, 5461, 538, 2870, 1689, 3842, 891, 1447, 6956, 16295, 540, 1379, 267, 5310, 649, 1223, 1118, 513, 3017, 1141, 621, 20974, 1229, 1034, 547, 803, 269, 1924, 267, 11439, 609, 15131, 543, 513, 4604, 3014, 14165, 267, 594, 1305, 856, 593, 513, 5692, 780, 296, 2966, 513, 2241, 530, 1173, 877, 1572, 834, 22479, 20738, 10830, 1849, 1662, 257, 6273, 676, 5929, 4640, 10643, 899, 11485, 267, 4849, 3079, 540, 9518, 1359, 11182, 267, 5716, 1131, 960, 1927, 547, 1780, 12014, 5885, 3123, 2673, 547, 938, 12271, 1107, 1519, 2799, 7616, 585, 4108, 1686, 3292, 269, 3962, 6345, 6719, 513, 2797, 5428, 267, 2347, 609, 2681, 2275, 10757, 4773, 543, 27410, 12485, 2786, 689, 25931, 5650, 780, 2414, 1250, 9983, 267, 519, 2199, 11080, 2146, 17947, 7167, 20738, 10830, 1849, 1662, 2898, 27329, 569, 269, 1284, 4371, 12353, 2743, 5725, 693, 3014, 8637, 1472, 4884, 267, 5373, 3677, 24921, 982, 4896, 1185, 17191, 269, 4658, 6068, 1565, 827, 519, 14960, 540, 519, 14130, 1247, 2054, 1944, 2081, 547, 3094, 1489, 585, 741, 6074, 3123, 780, 4913, 267, 1175, 607, 1919, 941, 2469, 12347, 267, 513, 9670, 4161, 7153, 269, 3776, 1895, 1185, 13631, 519, 3007, 540, 19023, 14761, 945, 4941, 547, 946, 938, 3760, 585, 741, 1378, 989, 31789, 269, 1358, 4718, 1761, 538, 8220, 609, 23466, 3544, 2757, 9055, 543, 3459, 11504, 938, 2621, 267, 23376, 7391, 2509, 741, 4620, 3785, 269, 2755, 930, 20888, 713, 1646, 267, 1866, 5433, 26203, 267, 17116, 519, 1360, 9759, 540, 1018, 938, 2370, 2146, 11542, 585, 780, 2171, 1336, 6000, 693, 513, 3444, 30030, 281, 2226, 519, 4567, 28943, 543, 1981, 4742, 513, 533, 11921, 538, 2797, 2577, 5209, 267, 610, 17997, 3652, 602, 909, 18988, 519, 6891, 540, 13784, 543, 1187, 649, 19644, 269, 2991, 3108, 540, 12699, 7521, 24188, 540, 1022, 7920, 8400, 538, 2052, 828, 571, 267, 649, 4956, 593, 519, 8545, 269, 1635, 993, 2056, 938, 4808, 543, 12145, 22267, 7589, 267, 649, 12873, 938, 2922, 2230, 267, 4180, 3025, 1223, 2972, 1312, 11080, 543, 3540, 11407, 1863, 689, 3768, 826, 3310, 780, 8269, 22162, 593, 713, 1995, 267, 594, 7691, 875, 3532, 29065, 7341, 666, 581, 950, 9141, 676, 9758, 1719, 2864, 982, 2797, 20440, 269, 3414, 7167, 20738, 10830, 1849, 1662, 267, 594, 14754, 4948, 26880, 1831, 7722, 4961, 11235, 547, 1174, 543, 7119, 538, 519, 11180, 1184, 269, 4107, 11932, 267, 594, 4121, 20250, 602, 1256, 9583, 27217, 5238, 899, 519, 8241, 14130, 3180, 2150, 11474, 1761, 585, 5807, 4276, 267, 5188, 267, 543, 2318, 1689, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 18658, 616, 930, 540, 519, 2189, 2934, 610, 3252, 540, 519, 8241, 14130, 602, 10646, 621, 689, 824, 22833, 600, 1968, 15424, 1949, 888, 272, 269, 1160, 1636, 1308, 23830, 281, 634, 8241, 14130, 3096, 513, 1106, 540, 14354, 6041, 1634, 607, 519, 2582, 4483, 762, 8917, 269, 901, 2636, 4130, 6105, 543, 4830, 10457, 547, 723, 513, 3152, 4960, 540, 10888, 513, 10160, 538, 519, 14130, 780, 273, 269, 26321, 23830, 281, 634, 14130, 814, 606, 3160, 1297, 540, 6845, 2209, 585, 1142, 1533, 630, 1321, 6845, 2209, 829, 1533, 264, 7488, 540, 2551, 2450, 269, 901, 5849, 602, 4130, 2829, 723, 513, 5639, 538, 3084, 3375, 6194, 780, 274, 269, 966, 16587, 5295, 281, 634, 14130, 814, 519, 1379, 547, 1654, 1729, 610, 7947, 9086, 5293, 676, 519, 5600, 540, 24929, 269, 901, 2488, 513, 2638, 593, 519, 1379, 540, 519, 2229, 543, 5849, 602, 9086, 568, 8499, 29506, 2213, 780, 275, 269, 9730, 3590, 281, 634, 14130, 814, 513, 2178, 12233, 1062, 267, 799, 2636, 585, 538, 3829, 7634, 543, 22987, 540, 9086, 543, 2229, 3609, 780, 276, 269, 7043, 518, 16301, 281, 27737, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 769, 519, 844, 5593, 4884, 540, 1488, 541, 520, 9503, 267, 31314, 1063, 18932, 3039, 15113, 543, 513, 32668, 5757, 267, 5030, 2185, 2828, 281, 8861, 267, 513, 17519, 476, 1321, 4458, 6040, 282, 18379, 26400, 267, 1200, 19511, 476, 280, 4458, 6040, 7015, 282, 8797, 2025, 6004, 269, 14062, 267, 741, 7023, 282, 543, 6341, 13183, 320, 267, 513, 15826, 21717, 945, 1419, 8179, 7326, 689, 1864, 269, 2290, 13566, 12784, 267, 607, 789, 2893, 9944, 519, 12094, 540, 513, 23836, 18073, 3529, 267, 8861, 4280, 513, 2243, 602, 1185, 27278, 1200, 25015, 1384, 257, 16031, 269, 14062, 2437, 1352, 3459, 11688, 527, 14688, 267, 834, 25585, 1705, 2696, 3442, 25424, 547, 1628, 519, 818, 330, 3079, 540, 4896, 3116, 12482, 16031, 269, 14062, 10709, 539, 1394, 1996, 519, 17657, 540, 519, 3529, 267, 588, 549, 6362, 1010, 1279, 3043, 581, 731, 1354, 1065, 2391, 267, 834, 11039, 267, 1762, 14799, 267, 621, 7012, 1405, 1175, 827, 2679, 606, 818, 330, 1701, 1261, 6743, 1472, 693, 782, 1614, 8049, 8188, 31325, 32348, 693, 1864, 780, 257, 18661, 3085, 1405, 1118, 5079, 8732, 1302, 2437, 4797, 6004, 269, 14062, 269, 834, 3891, 5654, 585, 1978, 7907, 910, 5132, 6888, 267, 11587, 267, 9639, 1862, 663, 1034, 11932, 267, 24150, 3010, 306, 14819, 10539, 593, 519, 1453, 781, 8188, 267, 6341, 13183, 320, 4956, 547, 1039, 1200, 5133, 269, 834, 296, 1589, 621, 1522, 849, 581, 1317, 25424, 19557, 1134, 269, 5457, 875, 3025, 561, 13774, 1117, 693, 1864, 950, 646, 3323, 2679, 519, 818, 330, 286, 898, 1590, 711, 723, 1044, 2653, 547, 3136, 2324, 593, 1945, 865, 2462, 1247, 1004, 1500, 1187, 540, 1864, 3010, 292, 2993, 26400, 21330, 23362, 269, 834, 31800, 1695, 267, 899, 950, 594, 6854, 8026, 1250, 9059, 15361, 5103, 21177, 519, 3440, 2789, 2053, 15323, 2419, 3089, 1782, 28663, 267, 6004, 269, 14062, 8815, 267, 834, 6546, 781, 2953, 256, 3807, 899, 707, 16177, 1282, 2259, 267, 25424, 7152, 26772, 7029, 2509, 16180, 2696, 781, 4971, 3010, 8450, 532, 713, 607, 606, 4316, 547, 4001, 873, 811, 982, 8806, 13400, 1686, 267, 6004, 269, 14062, 11461, 873, 883, 1620, 1483, 3734, 6286, 1210, 11541, 1806, 6537, 689, 741, 1378, 2833, 269, 1358, 5941, 1585, 7653, 1141, 1373, 21705, 267, 2186, 267, 3461, 267, 543, 1073, 539, 1304, 3366, 547, 14909, 2164, 269, 1717, 267, 789, 849, 8268, 3871, 1141, 23304, 8973, 891, 2418, 4547, 8521, 8801, 2360, 780, 7628, 741, 6643, 267, 513, 3765, 2151, 31773, 2856, 1402, 6244, 909, 538, 18379, 26400, 781, 2247, 269, 2991, 851, 532, 2081, 609, 519, 1866, 267, 646, 14229, 8898, 1055, 547, 1010, 5728, 12404, 719, 676, 519, 5757, 23810, 267, 5462, 547, 4020, 1010, 1412, 2381, 328, 818, 330, 9538, 4635, 1000, 12127, 267, 3762, 267, 543, 16095, 267, 646, 6170, 3108, 1266, 1484, 539, 538, 1010, 1788, 2394, 4158, 12269, 3138, 15701, 16841, 267, 8744, 2059, 5230, 11811, 269, 595, 4381, 12707, 335, 1563, 267, 4057, 18379, 26400, 17388, 547, 16102, 1010, 5137, 9624, 519, 7088, 344, 4365, 269, 1635, 10543, 267, 25356, 543, 546, 27221, 267, 646, 8120, 1753, 30160, 6420, 523, 267, 16734, 602, 554, 7360, 3375, 1818, 27507, 540, 1697, 4058, 1223, 1291, 547, 19888, 1600, 4093, 780, 19602, 267, 6273, 676, 519, 1554, 781, 4901, 267, 8861, 24389, 593, 513, 5692, 547, 13686, 6568, 1369, 1200, 2146, 269, 2701, 10272, 11361, 12543, 3232, 267, 4543, 873, 609, 26050, 543, 4687, 2984, 936, 11680, 540, 3905, 10217, 269, 4173, 1507, 6411, 540, 11587, 17275, 513, 678, 21451, 1198, 1851, 824, 7264, 267, 5807, 9322, 543, 23274, 269, 1879, 8861, 4607, 7064, 15130, 6486, 9896, 676, 1082, 27142, 19825, 1200, 3646, 267, 1352, 6956, 519, 7096, 1764, 2241, 17267, 666, 1711, 780, 4002, 1776, 4063, 267, 6341, 13183, 320, 12066, 1194, 609, 5683, 2055, 3823, 17096, 693, 1153, 269, 570, 3319, 539, 547, 5299, 4267, 689, 1283, 1053, 262, 4574, 1282, 18362, 267, 1352, 27416, 6004, 269, 14062, 781, 1913, 827, 8699, 543, 17251, 547, 5706, 971, 2712, 2471, 269, 1306, 2395, 5293, 267, 1352, 4362, 6418, 9547, 31827, 689, 9237, 960, 267, 799, 10630, 9797, 538, 1200, 9344, 1932, 780, 8269, 22162, 2390, 1142, 824, 781, 15322, 4374, 2663, 896, 519, 1482, 2025, 18073, 3529, 267, 789, 14952, 539, 693, 875, 1454, 789, 4121, 3564, 519, 9661, 540, 25424, 543, 519, 18206, 269, 3414, 5717, 10704, 1472, 10143, 6304, 267, 789, 16916, 1898, 1272, 1983, 5009, 5683, 2932, 267, 6043, 267, 1966, 9010, 5759, 267, 543, 28450, 2623, 269, 1656, 4352, 1100, 6264, 27803, 7018, 16074, 267, 11029, 14759, 16036, 539, 20406, 538, 741, 12271, 267, 8272, 337, 1681, 519, 3500, 2943, 11931, 2208, 540, 519, 22800, 818, 330, 593, 6778, 1488, 541, 520, 5553, 3516, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 3963, 798, 596, 1589, 2696, 8359, 25424, 547, 4163, 856, 1010, 1544, 585, 519, 6360, 267, 2864, 982, 2576, 3116, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 723, 2123, 4978, 610, 8369, 267, 855, 2687, 547, 519, 6426, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 1482, 942, 602, 646, 15189, 519, 3935, 601, 781, 3747, 646, 1500, 909, 1010, 2247, 602, 646, 1590, 723, 973, 6847, 547, 11805, 823, 950, 6028, 744, 7758, 267, 547, 16578, 519, 7969, 11464, 547, 3398, 930, 2724, 540, 799, 646, 729, 10423, 569, 538, 991, 563, 1103, 1249, 267, 10876, 519, 3747, 585, 5370, 267, 2523, 540, 1346, 585, 6469, 4616, 267, 8593, 2476, 282, 543, 972, 729, 513, 5786, 538, 519, 3328, 1297, 540, 7606, 6964, 538, 519, 5663, 6080, 547, 519, 6708, 540, 811, 982, 476, 736, 18336, 763, 1367, 1590, 4163, 741, 12689, 1247, 538, 519, 1184, 540, 10068, 543, 3132, 621, 2390, 3747, 689, 513, 5726, 11464, 563, 763, 2489, 22551, 539, 513, 3747, 602, 519, 29816, 1058, 581, 10300, 1540, 267, 519, 22341, 11130, 602, 711, 646, 267, 855, 519, 2362, 4971, 267, 729, 547, 16620, 563, 2171, 4312, 18617, 6000, 649, 2811, 11613, 2953, 855, 649, 1810, 1405, 3747, 602, 540, 1866, 563, 2005, 568, 513, 4074, 547, 4305, 519, 31399, 625, 540, 513, 812, 734, 7945, 2042, 540, 7443, 543, 2530, 267, 540, 1719, 267, 540, 512, 732, 543, 1726, 339, 267, 543, 12238, 3101, 540, 782, 5686, 538, 621, 267, 607, 3747, 513, 8471, 1702, 563, 10214, 1498, 713, 4847, 10412, 5777, 547, 20034, 5471, 543, 3747, 585, 10412, 547, 2333, 267, 930, 540, 1346, 15823, 1004, 3893, 9788, 1055, 267, 1100, 8969, 24373, 741, 535, 1235, 693, 519, 1102, 1716, 531, 575, 514, 607, 789, 7088, 539, 1055, 519, 3959, 563, 763, 1494, 614, 781, 10036, 540, 1772, 577, 807, 6039, 585, 519, 1494, 23065, 540, 595, 636, 2801, 543, 623, 1393, 10008, 538, 3504, 2053, 267, 543, 729, 8197, 538, 9645, 3747, 2394, 519, 31685, 693, 16629, 25271, 857, 7637, 538, 476, 6642, 274, 563, 3891, 2699, 5962, 1082, 20494, 341, 1734, 267, 14931, 519, 7245, 540, 5126, 267, 9415, 16450, 267, 6963, 539, 519, 11777, 720, 267, 855, 607, 942, 4682, 593, 646, 729, 25997, 547, 3747, 3677, 24307, 543, 547, 1491, 4049, 337, 3800, 1996, 1934, 3749, 8369, 563, 25444, 31372, 267, 865, 900, 874, 5597, 543, 23362, 1705, 646, 3747, 741, 3007, 547, 1010, 1650, 563, 2252, 711, 267, 607, 519, 3747, 729, 1433, 539, 1996, 606, 26462, 31458, 267, 972, 786, 581, 513, 4737, 543, 519, 26035, 949, 1439, 21354, 563, 1432, 1318, 723, 596, 267, 1395, 572, 793, 16725, 267, 547, 3747, 606, 2272, 540, 1250, 27589, 543, 17052, 888, 1103, 519, 2013, 540, 513, 6760, 649, 1034, 2712, 326, 1836, 3747, 519, 10751, 585, 971, 606, 957, 282, 538, 519, 2013, 540, 513, 4075, 6681, 957, 649, 2557, 922, 20519, 1034, 3810, 563, 9288, 19280, 513, 2034, 4543, 540, 8970, 593, 519, 25865, 1247, 18226, 693, 519, 4563, 661, 26191, 3212, 320, 849, 4679, 3747, 585, 8970, 267, 855, 585, 3257, 865, 267, 594, 12582, 1405, 1796, 4693, 585, 12638, 563, 3891, 5219, 547, 519, 1249, 602, 519, 14890, 19167, 1185, 759, 5034, 519, 3747, 602, 646, 1058, 11198, 1010, 10136, 689, 2398, 17892, 267, 2523, 950, 602, 3747, 2968, 3622, 1634, 543, 519, 15683, 540, 5333, 729, 7551, 1055, 2105, 563, 1103, 1249, 267, 519, 5605, 26513, 267, 607, 646, 5128, 814, 10294, 267, 729, 2760, 17101, 547, 1118, 602, 3747, 267, 543, 607, 4166, 607, 594, 729, 5483, 540, 621, 594, 1577, 1864, 917, 875, 1454, 594, 7106, 28508, 540, 621, 543, 10288, 1864, 547, 2611, 693, 1010, 2022, 563, 25911, 553, 515, 341, 14452, 602, 972, 729, 834, 333, 5847, 18086, 538, 519, 3747, 267, 1317, 29389, 855, 12653, 520, 29169, 1864, 563, 9515, 6785, 602, 585, 519, 6755, 5633, 1609, 919, 543, 715, 714, 515, 326, 528, 617, 7733, 1352, 1223, 3747, 713, 267, 543, 1352, 4607, 1018, 1352, 18796, 563, 763, 16586, 3747, 519, 6284, 540, 4436, 607, 513, 22232, 1893, 538, 1169, 851, 540, 519, 10504, 267, 865, 602, 513, 4436, 949, 3409, 547, 723, 1010, 1870, 13984, 547, 538, 1010, 1378, 1893, 267, 1256, 538, 18243, 3901, 807, 543, 8895, 545, 807, 563, 763, 590, 5055, 586, 521, 267, 2705, 267, 2838, 602, 267, 1256, 950, 513, 1507, 12102, 540, 23577, 5198, 12306, 538, 1022, 4884, 267, 789, 1058, 711, 581, 25997, 547, 979, 547, 519, 4436, 3506, 267, 855, 1058, 723, 741, 1378, 1153, 3177, 585, 873, 282, 543, 713, 3747, 729, 11292, 676, 16217, 345, 752, 267, 14012, 540, 2069, 896, 4032, 19248, 25377, 563, 1103, 476, 6642, 278, 267, 896, 519, 5718, 540, 3220, 1520, 2401, 267, 519, 24180, 5428, 3459, 547, 2847, 633, 630, 1492, 5428, 540, 5208, 2348, 5747, 2476, 1070, 543, 2094, 1287, 621, 814, 20406, 6591, 538, 2338, 282, 538, 519, 21282, 540, 519, 2797, 10872, 568, 2322, 519, 3747, 585, 8471, 27049, 563, 763, 3665, 4436, 5428, 267, 2705, 267, 3576, 519, 8317, 547, 3747, 602, 5037, 476, 1691, 1058, 581, 4735, 4705, 563, 9989, 938, 4987, 3747, 9322, 888, 16485, 9324, 529, 990, 2436, 621, 568, 711, 856, 540, 519, 2243, 585, 513, 20017, 564, 547, 3747, 9547, 540, 1010, 1036, 14939, 19524, 888, 21156, 540, 519, 3747, 540, 2185, 3275, 4505, 547, 11198, 689, 623, 9593, 16492, 267, 1152, 513, 15639, 3564, 519, 15281, 18779, 729, 1631, 18796, 563, 9515, 6743, 909, 693, 519, 796, 30726, 2065, 3747, 563, 288, 13581, 16802, 540, 17229, 4553, 689, 26795, 2394, 25760, 21235, 513, 4633, 593, 6668, 540, 519, 3514, 11687, 267, 519, 4031, 540, 519, 26570, 267, 519, 1426, 5832, 543, 3761, 543, 3747, 563, 5719, 534, 7368, 1010, 3747, 563, 257, 307, 749, 3117, 531, 12858, 2437, 5206, 519, 20630, 528, 267, 1869, 1166, 19813, 609, 3243, 518, 331, 6308, 267, 834, 7474, 952, 646, 14560, 1010, 2197, 646, 1590, 2901, 29997, 610, 798, 1018, 594, 3747, 4799, 763, 5478, 568, 30109, 5645, 856, 538, 3127, 267, 30111, 543, 519, 26811, 753, 282, 519, 2063, 3957, 23478, 519, 13557, 540, 519, 3864, 3747, 563, 310, 710, 568, 14475, 538, 1804, 9424, 267, 855, 519, 3977, 568, 711, 6190, 547, 2743, 519, 1753, 3747, 563, 763, 3037, 568, 711, 1360, 11327, 267, 4352, 6683, 7912, 8460, 538, 519, 23898, 543, 593, 519, 1377, 2666, 282, 10286, 814, 547, 581, 16865, 547, 2743, 519, 3747, 563, 763, 1985, 3747, 729, 585, 3152, 4368, 640, 540, 26022, 543, 811, 2834, 13319, 267, 607, 1134, 607, 585, 519, 6284, 676, 519, 3549, 540, 519, 16749, 332, 839, 9769, 563, 763, 1244, 583, 625, 540, 519, 26184, 19382, 267, 3079, 540, 1210, 741, 3310, 538, 3870, 540, 31390, 2305, 267, 1223, 1589, 540, 4986, 1732, 982, 547, 3747, 606, 7525, 5996, 6327, 540, 14618, 538, 1931, 602, 789, 1522, 1459, 513, 3915, 17246, 27570, 519, 10136, 543, 7128, 547, 946, 741, 7916, 538, 782, 7526, 1063, 3854, 543, 4074, 267, 8726, 519, 1008, 6327, 1522, 581, 563, 1103, 25931, 6214, 519, 1034, 8037, 2680, 538, 476, 5002, 273, 729, 519, 6881, 540, 513, 16028, 3915, 676, 6178, 528, 2098, 534, 731, 749, 529, 2229, 282, 713, 729, 2944, 711, 1317, 972, 729, 1022, 1483, 3747, 585, 621, 267, 855, 547, 5225, 519, 11705, 27444, 790, 476, 5002, 273, 563, 763, 16795, 11840, 566, 540, 519, 9384, 4716, 30060, 267, 607, 519, 782, 1606, 11211, 4082, 540, 3909, 20174, 267, 543, 513, 7683, 3395, 12402, 2509, 519, 657, 2684, 545, 543, 7793, 545, 25127, 593, 519, 4644, 540, 1169, 1469, 540, 519, 9161, 267, 1223, 711, 3111, 547, 1711, 513, 3747, 585, 28706, 1521, 2478, 540, 713, 2186, 267, 799, 267, 547, 3986, 741, 4052, 10626, 267, 1131, 6923, 4308, 609, 519, 2027, 5931, 543, 32537, 8655, 538, 519, 30060, 547, 519, 1896, 5049, 540, 6815, 11868, 20577, 563, 4263, 513, 7766, 1974, 519, 3747, 585, 6044, 538, 519, 9384, 4716, 2257, 1572, 883, 6228, 513, 1869, 811, 4052, 1305, 540, 8261, 338, 267, 519, 865, 10777, 17833, 11985, 1606, 583, 6652, 267, 610, 30060, 3652, 267, 24223, 267, 538, 13151, 3307, 21428, 528, 3359, 267, 519, 9516, 1576, 540, 9384, 4716, 5650, 267, 1510, 4704, 547, 519, 9277, 5169, 610, 1104, 540, 519, 1896, 32537, 563, 15900, 538, 8361, 4083, 9538, 338, 942, 621, 1185, 1831, 519, 2688, 540, 4789, 585, 519, 5480, 4168, 281, 547, 834, 338, 793, 1518, 257, 922, 4845, 540, 608, 23890, 547, 519, 4622, 543, 547, 3747, 689, 1864, 513, 1060, 540, 1542, 822, 527, 547, 519, 521, 615, 858, 267, 547, 18035, 519, 1268, 608, 10919, 5344, 563, 26139, 646, 2712, 2471, 267, 602, 2094, 25863, 568, 538, 2441, 4805, 267, 543, 602, 267, 1932, 267, 2407, 25863, 543, 593, 519, 4493, 540, 5132, 4805, 267, 519, 3747, 585, 10841, 2045, 1143, 543, 2495, 1652, 18428, 568, 1165, 569, 267, 543, 32047, 887, 2125, 2441, 267, 538, 7247, 17743, 338, 519, 10143, 3505, 1145, 267, 540, 3571, 1318, 995, 29686, 630, 4512, 563, 763, 6219, 1634, 607, 834, 10190, 731, 781, 4544, 2437, 646, 5423, 538, 476, 9692, 280, 538, 3210, 547, 513, 533, 699, 332, 696, 800, 3747, 676, 808, 563, 763, 954, 3146, 331, 725, 540, 519, 2818, 540, 513, 1804, 12733, 540, 1486, 334, 349, 726, 6814, 971, 607, 13822, 513, 3529, 267, 3747, 1454, 16369, 563, 4002, 519, 3747, 540, 31143, 2135, 267, 667, 7568, 2917, 781, 4651, 267, 5637, 6202, 729, 2322, 2390, 1010, 4693, 267, 538, 4989, 267, 855, 31143, 2135, 267, 2348, 1044, 24193, 547, 4283, 519, 2749, 609, 811, 982, 3670, 7390, 1218, 267, 15189, 547, 7390, 267, 543, 5637, 6202, 729, 10294, 711, 16944, 563, 1103, 476, 6642, 276, 772, 2607, 340, 599, 16865, 1034, 540, 1200, 3694, 560, 32332, 282, 1631, 711, 1152, 568, 10568, 6738, 538, 6190, 9424, 547, 2743, 519, 2199, 3747, 267, 855, 513, 21045, 630, 12671, 476, 736, 267, 1822, 11973, 9748, 538, 476, 5002, 279, 268, 280, 264, 568, 12422, 2139, 585, 13143, 563, 20812, 526, 2006, 543, 1866, 538, 31012, 11401, 543, 1184, 687, 538, 5507, 547, 3747, 960, 585, 519, 32014, 563, 300, 1549, 1058, 581, 1500, 540, 519, 2527, 540, 2489, 9086, 5293, 267, 21246, 958, 676, 7262, 2829, 267, 2094, 476, 5002, 276, 267, 538, 3210, 547, 513, 2442, 3747, 585, 2539, 3928, 563, 1607, 3747, 814, 538, 1082, 8320, 3366, 547, 2192, 15926, 30872, 9086, 267, 814, 4749, 16053, 519, 840, 5766, 2510, 543, 1256, 519, 6228, 540, 519, 1533, 862, 3827, 267, 543, 814, 4547, 827, 519, 8574, 676, 1533, 9777, 2137, 540, 5021, 26708, 543, 18213, 2557, 4031, 267, 609, 3928, 865, 1970, 538, 1082, 2665, 602, 789, 723, 1044, 1305, 11735, 676, 519, 10470, 607, 796, 6247, 6627, 563, 262, 296, 8152, 519, 3747, 585, 811, 9252, 568, 8850, 15527, 547, 676, 519, 15245, 563, 1607, 1164, 1611, 2604, 3112, 581, 9738, 585, 1279, 267, 1317, 607, 519, 3432, 4679, 519, 3747, 585, 9252, 829, 1770, 540, 942, 4679, 267, 865, 602, 2759, 11325, 1590, 1491, 1747, 4505, 543, 4505, 538, 519, 8482, 267, 519, 12145, 11931, 3432, 1373, 25189, 950, 519, 2557, 693, 799, 9252, 568, 13859, 547, 519, 26561, 568, 14661, 676, 519, 2759, 11325, 547, 581, 3160, 547, 519, 5021, 2557, 693, 799, 519, 15245, 666, 3132, 9252, 267, 799, 5673, 2390, 519, 5021, 2557, 693, 799, 5755, 666, 581, 26151, 829, 4009, 3723, 540, 16416, 563, 268, 634, 3747, 540, 519, 1459, 1554, 568, 585, 9817, 540, 3677, 1379, 1312, 585, 18213, 543, 5370, 3028, 267, 543, 519, 1966, 568, 547, 1374, 971, 9817, 1369, 519, 7687, 6378, 676, 519, 476, 275, 10264, 563, 2690, 2199, 2533, 1141, 3247, 335, 1137, 616, 7928, 519, 3747, 568, 585, 9817, 5827, 540, 3533, 1412, 2311, 519, 4098, 540, 476, 5002, 279, 519, 4279, 5375, 781, 15205, 15378, 593, 922, 1292, 3515, 729, 11097, 2989, 547, 476, 280, 10264, 563, 3891, 729, 4749, 6964, 538, 13485, 547, 519, 28831, 267, 543, 538, 476, 280, 6924, 547, 31862, 547, 3747, 585, 519, 7820, 32572, 630, 12898, 2072, 32572, 4083, 4700, 519, 1688, 540, 634, 2684, 8457, 267, 8250, 540, 519, 17169, 12832, 788, 1817, 639, 1912, 665, 553, 563, 763, 22445, 849, 15091, 609, 13730, 7118, 652, 1145, 602, 23968, 933, 327, 729, 513, 2696, 4171, 1915, 729, 22233, 267, 543, 2696, 781, 3747, 2390, 3571, 1004, 5840, 729, 711, 585, 24279, 855, 585, 22233, 2932, 563, 763, 3003, 12705, 729, 25356, 538, 513, 1906, 2395, 282, 513, 2034, 543, 513, 3791, 7160, 941, 17077, 569, 7850, 547, 519, 3747 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 941, 3773, 547, 2272, 585, 2127, 602, 26218, 7850, 3795, 563, 10376, 19494, 729, 17956, 547, 513, 4496, 4410, 1354, 1239, 4015, 547, 2061, 3350, 543, 2327, 519, 6111, 540, 519, 7857, 1436, 1184, 269, 589, 5843, 18285, 717, 273, 7857, 6500, 630, 3412, 11302, 542, 264, 729, 1031, 538, 14966, 609, 10910, 514, 665, 14058, 476, 274, 291, 24919, 12229, 630, 27144, 5062, 10468, 601, 1299, 4889, 919, 1040, 634, 5843, 18285, 717, 273, 7857, 6500, 729, 1031, 547, 16924, 3403, 519, 2798, 28367, 593, 519, 2627, 540, 1312, 519, 1350, 31734, 543, 922, 2404, 1085, 777, 983, 3889, 269, 1452, 1239, 941, 6394, 538, 10910, 514, 665, 14058, 1210, 519, 1448, 1843, 1599, 282, 519, 1448, 1239, 6394, 609, 519, 7857, 6500, 941, 1287, 1031, 547, 5352, 513, 7455, 3060, 543, 4396, 17450, 10452, 519, 1350, 31734, 781, 476, 274, 291, 19916, 630, 8201, 476, 276, 1040, 22384, 540, 519, 29256, 3148, 602, 8383, 730, 519, 5021, 8006, 543, 4320, 585, 26561, 540, 476, 276, 267, 476, 1015, 267, 543, 476, 1428, 6515, 3178, 729, 12913, 676, 16924, 2870, 476, 274, 291, 26561, 540, 8795, 8006, 630, 8201, 476, 277, 264, 543, 10647, 2789, 13307, 8062, 547, 2697, 519, 3148, 540, 1655, 3514, 630, 305, 289, 293, 1040, 634, 681, 289, 293, 729, 3989, 607, 519, 3169, 2990, 538, 519, 1350, 31734, 29256, 602, 8383, 919, 519, 6574, 8006, 585, 1142, 12718, 3178, 1510, 2736, 720, 998, 519, 4478, 9729, 673, 2627, 5642, 269, 1879, 519, 681, 289, 293, 729, 4857, 585, 513, 2016, 12718, 3178, 267, 13307, 8062, 941, 7368, 676, 519, 31375, 7466, 547, 2327, 519, 10063, 322, 2225, 543, 6111, 540, 519, 1267, 269, 634, 12499, 5035, 9756, 11664, 729, 6027, 1210, 519, 1239, 6394, 689, 891, 7403, 269, 634, 12718, 13307, 8062, 941, 5342, 538, 513, 6073, 17929, 1142, 12718, 729, 1312, 1377, 609, 543, 13902, 547, 519, 1148, 7781, 2627, 693, 519, 1350, 31734, 4099, 563, 4322, 26561, 941, 3514, 1369, 519, 1560, 540, 519, 1350, 31734, 693, 8795, 6753, 538, 13076, 609, 519, 1350, 31734, 781, 4390, 547, 13918, 741, 18312, 17909, 269, 589, 3983, 3514, 729, 3989, 607, 513, 12718, 8006, 543, 5924, 13307, 602, 8507, 538, 2736, 720, 998, 519, 9729, 673, 2627, 5642, 630, 8201, 476, 278, 1040, 1879, 513, 3983, 3514, 7018, 267, 519, 4693, 1131, 581, 7368, 538, 513, 1114, 29256, 3148, 269, 1403, 513, 3983, 3514, 7018, 2429, 519, 30810, 540, 519, 29256, 267, 12718, 8006, 729, 8519, 676, 476, 271, 269, 272, 6515, 267, 543, 519, 5650, 729, 7368, 269, 1879, 519, 2990, 602, 8383, 730, 519, 6574, 12718, 8006, 585, 513, 2016, 3178, 1510, 2736, 720, 998, 519, 9729, 673, 2627, 729, 4857, 267, 519, 4087, 540, 519, 1448, 1141, 519, 3844, 7852, 540, 519, 12718, 12969, 338, 519, 1350, 31734, 1148, 7781, 2627, 630, 22487, 540, 12718, 264, 3448, 547, 519, 4099, 540, 519, 1350, 31734, 781, 1148, 7781, 2627, 630, 326, 6352, 1355, 4099, 264, 729, 6027, 269, 901, 729, 12913, 676, 7893, 519, 3845, 689, 519, 1350, 31734, 4099, 547, 519, 3844, 7852, 540, 519, 12718, 593, 519, 1350, 31734, 1148, 7781, 2627, 630, 8201, 476, 279, 1040, 634, 1350, 31734, 4099, 729, 11280, 607, 519, 10167, 540, 519, 4571, 9557, 540, 519, 7299, 543, 8880, 17887, 593, 519, 1350, 31734, 13994, 6819, 536, 3415, 2627, 563, 763, 2990, 540, 519, 4099, 540, 519, 12718, 729, 4330, 676, 519, 3845, 689, 519, 1350, 31734, 4099, 543, 519, 5086, 1500, 1063, 519, 476, 1321, 744, 262, 22018, 2990, 540, 519, 7299, 7852, 543, 513, 1899, 689, 519, 1350, 31734, 4099, 547, 519, 4099, 540, 519, 12718, 630, 8201, 476, 280, 1040, 7612, 476, 1015, 4564, 606, 1383, 540, 3803, 12718, 13307, 538, 519, 681, 289, 293, 1310, 12032, 540, 519, 27069, 4152, 5123, 269, 595, 2643, 5407, 12531, 585, 1142, 3811, 4693, 941, 849, 6027, 1210, 10910, 514, 665, 14058, 476, 274, 291, 12166, 2079, 3252, 269, 9255, 618, 8062, 585, 26561, 540, 476, 276, 267, 476, 1015, 267, 543, 476, 1428, 6515, 3178, 941, 1287, 5342, 693, 519, 1350, 31734, 4099, 547, 2697, 519, 5021, 8006, 543, 4320, 585, 1142, 12718, 3178, 563, 763, 1239, 26857, 689, 519, 681, 289, 293, 543, 1350, 31734, 4099, 941, 19250, 9916, 1210, 590, 31723, 10803, 585, 8837, 630, 296, 13696, 1040, 634, 1239, 941, 19250, 3379, 1210, 519, 19610, 3732, 512, 1449, 543, 7368, 3800, 2079, 540, 13065, 269, 1280, 16198, 1063, 28486, 267, 519, 4830, 5439, 512, 1449, 729, 1031, 269, 24488, 729, 1305, 693, 476, 271, 269, 4962, 269, 5015, 267, 2203, 4070, 267, 12718, 17501, 267, 543, 1239, 4015, 941, 2944, 676, 513, 2582, 31375, 269, 2271, 32057, 831, 10727, 729, 12290, 998, 9819, 540, 519, 12499, 5035, 9756, 11664, 538, 590, 31723, 1759, 593, 513, 2582, 678, 831, 267, 6207, 6876, 267, 1079, 17574, 6404, 2360, 2203, 563, 10574, 6394, 585, 519, 476, 4391, 5256, 15013, 7000, 602, 585, 476, 276, 267, 476, 1015, 267, 543, 476, 1428, 6515, 3178, 26561, 13883, 538, 519, 681, 289, 293, 267, 519, 3328, 5021, 8006, 729, 476, 2420, 269, 3374, 13008, 476, 273, 269, 11152, 267, 476, 1704, 269, 2641, 13008, 476, 274, 269, 4366, 267, 543, 476, 1724, 269, 3953, 13008, 476, 274, 269, 1691, 6515, 267, 6606, 269, 634, 4099, 540, 519, 476, 276, 6515, 3178, 12718, 538, 519, 681, 289, 293, 729, 4092, 693, 606, 3328, 5086, 540, 476, 14378, 269, 2190, 13008, 476, 1240, 269, 1556, 4113, 538, 519, 2022, 3266, 2987, 2536, 1640, 9076, 656, 267, 693, 513, 3845, 540, 476, 277, 269, 876, 13008, 476, 272, 269, 10844, 6515, 689, 519, 1350, 31734, 4099, 269, 901, 476, 276, 6515, 3178, 12718, 22234, 267, 593, 3328, 267, 513, 4320, 540, 476, 1960, 276, 269, 4391, 13008, 476, 276, 4097, 269, 3066, 6515, 274, 269, 634, 4099, 540, 519, 476, 1015, 6515, 3178, 12718, 538, 519, 681, 289, 293, 729, 4092, 693, 606, 3328, 5086, 540, 476, 14690, 269, 6187, 13008, 476, 1428, 269, 1321, 4113, 538, 519, 2022, 3266, 2987, 2536, 1640, 9076, 656, 693, 513, 3845, 540, 476, 278, 269, 10602, 13008, 476, 273, 269, 10019, 6515, 689, 519, 1350, 31734, 4099, 269, 634, 3328, 476, 1015, 6515, 3178, 12718, 4320, 729, 476, 25240, 279, 269, 2568, 13008, 476, 15886, 269, 1240, 6515, 274, 269, 634, 4099, 540, 519, 476, 1428, 6515, 3178, 12718, 538, 519, 681, 289, 293, 729, 4092, 693, 606, 5086, 540, 476, 15433, 269, 4343, 13008, 476, 2641, 269, 6858, 4113, 538, 519, 2022, 3266, 2987, 2536, 1640, 9076, 656, 543, 476, 278, 269, 10037, 13008, 476, 274, 269, 5038, 6515, 689, 519, 1350, 31734, 4099, 269, 634, 3328, 476, 1428, 6515, 3178, 12718, 4320, 729, 476, 23417, 278, 269, 6321, 13008, 476, 11793, 275, 269, 5655, 6515, 274, 269, 634, 4998, 4087, 585, 8236, 31062, 12718, 8006, 543, 4320, 267, 7488, 540, 12718, 3178, 267, 729, 1336, 538, 519, 2022, 3266, 2987, 2536, 1640, 3148, 540, 519, 1350, 31734, 585, 5256, 15013, 269, 3143, 1713, 3017, 729, 1336, 1063, 519, 7285, 585, 519, 2990, 540, 1142, 12718, 3178, 630, 718, 8424, 267, 623, 3436, 476, 271, 269, 4962, 1040, 1717, 267, 519, 3017, 538, 3845, 689, 519, 1350, 31734, 4099, 729, 19250, 1713, 585, 519, 476, 276, 543, 476, 1015, 6515, 3178, 26561, 630, 303, 2999, 476, 271, 269, 1822, 272, 1070, 607, 1134, 607, 585, 519, 476, 276, 543, 476, 1428, 6515, 3178, 26561, 630, 303, 2999, 476, 271, 269, 1822, 272, 1040, 3143, 1713, 3017, 729, 7074, 538, 519, 3845, 689, 519, 1350, 31734, 4099, 1063, 519, 476, 1015, 543, 476, 1428, 6515, 26561, 630, 303, 815, 476, 271, 269, 5038, 278, 1916, 763, 476, 3451, 4775, 15013, 267, 593, 519, 824, 1688, 267, 26857, 3328, 5021, 5603, 4394, 540, 476, 1626, 269, 4649, 13008, 476, 272, 269, 9834, 267, 476, 1556, 269, 1428, 13008, 476, 272, 269, 10695, 267, 543, 476, 279, 269, 4366, 13008, 476, 272, 269, 11011, 6515, 585, 476, 276, 267, 476, 1015, 267, 543, 476, 1428, 6515, 3178, 26561, 267, 6606, 269, 634, 4099, 540, 519, 476, 276, 6515, 3178, 12718, 538, 519, 681, 289, 293, 729, 4092, 693, 606, 5086, 540, 476, 14378, 269, 4029, 13008, 476, 1556, 269, 6858, 4113, 538, 519, 2022, 3266, 2987, 2536, 1640, 9076, 656, 693, 513, 3845, 540, 476, 276, 269, 4375, 13008, 476, 272, 269, 4281, 6515, 689, 519, 1350, 31734, 4099, 269, 634, 3328, 4320, 585, 519, 476, 276, 6515, 3178, 12718, 729, 476, 10755, 271, 269, 7597, 13008, 476, 26297, 269, 7871, 6515, 274, 269, 634, 4099, 540, 519, 476, 1015, 6515, 3178, 12718, 538, 519, 681, 289, 293, 729, 4092, 693, 606, 3328, 5086, 540, 476, 14690, 269, 3953, 13008, 476, 1556, 269, 1789, 4113, 538, 519, 2022, 3266, 2987, 2536, 1640, 9076, 656, 543, 476, 278, 269, 3393, 13008, 476, 274, 269, 6860, 6515, 689, 519, 1350, 31734, 4099, 269, 634, 3328, 476, 1015, 6515, 3178, 12718, 4320, 729, 476, 1911, 272, 269, 7871, 13008, 476, 17168, 269, 1691, 6515, 274, 269, 634, 4099, 540, 519, 476, 1428, 6515, 3178, 12718, 538, 519, 681, 289, 293, 729, 4092, 693, 606, 5086, 540, 476, 14690, 269, 6246, 13008, 476, 1724, 269, 5400, 4113, 538, 519, 2022, 3266, 2987, 2536, 1640, 9076, 656, 543, 513, 3845, 540, 476, 279, 269, 4391, 13008, 476, 274, 269, 5392, 6515, 689, 519, 1350, 31734, 4099, 269, 634, 3328, 476, 1428, 6515, 3178, 12718, 4320, 729, 476, 279, 8287, 269, 5780, 13008, 476, 24833, 269, 5325, 6515, 274, 269, 3143, 1713, 3017, 729, 7074, 1063, 519, 7285, 585, 1142, 12718, 3178, 630, 718, 8424, 267, 623, 3436, 476, 271, 269, 4962, 1040, 1306, 2938, 538, 519, 5256, 15013, 267, 519, 3017, 538, 3845, 689, 519, 1350, 31734, 4099, 729, 19250, 1713, 585, 519, 476, 276, 543, 476, 1015, 6515, 3178, 26561, 630, 303, 2999, 476, 271, 269, 1822, 272, 1070, 607, 1134, 607, 585, 519, 476, 276, 543, 476, 1428, 6515, 3178, 26561, 630, 303, 2999, 476, 271, 269, 1822, 272, 1040, 3143, 1713, 3017, 729, 1336, 538, 519, 3845, 689, 519, 1350, 31734, 4099, 1063, 519, 476, 1015, 543, 476, 1428, 6515, 26561, 630, 303, 815, 476, 271, 269, 16825, 1916, 4002, 3328, 267, 519, 4998, 4087, 585, 8236, 31062, 12718, 8006, 267, 7488, 540, 12718, 3178, 267, 729, 1336, 538, 519, 2022, 3266, 2987, 2536, 1640, 3148, 540, 519, 1350, 31734, 585, 1312, 5256, 543, 4775, 15013, 269, 634, 17911, 2987, 2536, 1640, 3148, 729, 5812, 609, 606, 5086, 6482, 1063, 476, 3445, 543, 476, 5197, 4113, 269, 634, 476, 4817, 260, 6015, 11996, 585, 5086, 7403, 585, 476, 276, 267, 476, 1015, 267, 543, 476, 1428, 6515, 3178, 26561, 941, 630, 14321, 269, 2767, 1700, 14690, 269, 5952, 1070, 630, 15433, 269, 6812, 1700, 9965, 269, 4391, 1070, 543, 630, 8182, 269, 6507, 1700, 10204, 269, 1428, 1070, 6606, 269, 634, 681, 289, 293, 729, 4092, 538, 519, 2022, 3266, 2987, 2536, 1640, 3148, 585, 1034, 267, 855, 711, 782, 5396, 269, 476, 10619, 269, 274, 9077, 476, 8618, 269, 275, 9077, 543, 476, 7761, 269, 271, 260, 540, 519, 476, 276, 267, 476, 1015, 267, 543, 476, 1428, 6515, 3178, 26561, 267, 6606, 267, 941, 4092, 538, 519, 17911, 2987, 2536, 1640, 3148, 269, 634, 14230, 540, 519, 26561, 585, 1142, 12718, 3178, 941, 4092, 538, 519, 18751, 2987, 2536, 1640, 3148, 269, 634, 3328, 5086, 7403, 585, 519, 476, 276, 267, 476, 1015, 267, 543, 476, 1428, 6515, 26561, 538, 519, 18751, 2987, 2536, 1640, 3148, 941, 476, 7277, 269, 4097, 13008, 476, 273, 269, 5952, 267, 476, 6942, 269, 4649, 13008, 476, 277, 269, 4343, 267, 543, 476, 4489, 269, 3451, 13008, 476, 1691, 269, 6860, 267, 6606, 269, 2353, 15013, 609, 513, 681, 289, 293, 538, 519, 18751, 2987, 2536, 1640, 3148, 849, 8383, 730, 26561, 538, 519, 17911, 2987, 2536, 1640, 3148, 602, 941, 3648, 3152, 538, 8006, 543, 4320, 3379, 609, 26561, 693, 519, 1350, 31734, 4099, 269, 1717, 267, 1317, 891, 26561, 1705, 711, 2743, 938, 30966, 7355, 585, 519, 681, 289, 293, 267, 519, 2404, 1239, 941, 711, 3769, 538, 938, 2079, 269, 5015, 267, 519, 5086, 543, 3845, 689, 519, 1350, 31734, 4099, 1705, 711, 8428, 3648, 1063, 5256, 543, 4775, 15013, 585, 476, 276, 630, 4120, 267, 623, 815, 476, 271, 269, 14596, 282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1206, 666, 1331, 10729, 2528, 543, 16562, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 24580, 20351, 21619, 10818, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 11557, 7081, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 589, 7008, 540, 3275, 3516, 267, 594, 16686, 2066, 606, 4277, 31851, 2243, 1247, 19855, 513, 2797, 1016, 1042, 9016, 281, 1281, 3627, 717, 28026, 267, 519, 5449, 20271, 894, 12463, 585, 22206, 13083, 26066, 267, 723, 1022, 1453, 286, 2271, 29098, 267, 594, 4956, 547, 2007, 4514, 883, 741, 1920, 1686, 1107, 543, 1018, 594, 1336, 14281, 803, 811, 982, 594, 1223, 2479, 4952, 780, 2026, 621, 7140, 856, 267, 3627, 717, 28026, 1705, 8197, 723, 513, 1126, 281, 513, 5067, 3957, 5484, 717, 28026, 269, 1656, 1247, 713, 949, 3100, 899, 1455, 1702, 1851, 20833, 20916, 2043, 267, 1250, 7279, 533, 31985, 950, 594, 4362, 602, 5484, 1185, 4553, 538, 1010, 4651, 781, 3723, 25074, 543, 9411, 6214, 5128, 269, 13018, 267, 646, 10443, 1996, 18332, 6424, 631, 1961, 267, 519, 23267, 12463, 585, 594, 1186, 16049, 267, 538, 519, 476, 1001, 271, 2489, 9550, 1107, 543, 4465, 2439, 3086, 267, 1934, 2501, 519, 16168, 851, 281, 5103, 1373, 3742, 593, 1514, 2923, 5867, 899, 12108, 267, 1141, 14761, 1419, 4497, 609, 23466, 543, 2671, 741, 4555, 593, 1699, 2621, 267, 9444, 18281, 6862, 5484, 8604, 3226, 5461, 538, 14344, 1142, 824, 2228, 269, 901, 13351, 803, 607, 2864, 9642, 267, 2016, 741, 23091, 22686, 543, 3318, 12583, 269, 1924, 267, 6923, 267, 594, 7948, 1405, 5706, 533, 3183, 1187, 693, 519, 3510, 780, 296, 2813, 1079, 5094, 12108, 6589, 1107, 835, 30286, 607, 18281, 631, 1961, 31822, 2419, 5142, 300, 1961, 318, 6573, 1070, 519, 824, 5910, 2056, 547, 581, 5484, 717, 28026, 31822, 13051, 294, 28026, 307, 800, 1040, 3733, 3804, 7012, 1405, 8209, 547, 791, 3205, 622, 873, 855, 2864, 547, 1711, 1286, 545, 2137, 602, 12006, 741, 9277, 31195, 269, 4635, 27105, 1893, 543, 22350, 10565, 17408, 1115, 267, 594, 3459, 13167, 513, 2239, 1472, 891, 14070, 1242, 8747, 540, 2933, 780, 2414, 1250, 9983, 267, 1004, 3323, 9140, 621, 269, 7427, 619, 1166, 18088, 547, 1312, 6589, 267, 23362, 32261, 519, 1985, 3888, 618, 540, 938, 16494, 21535, 269, 1358, 1750, 1229, 721, 593, 267, 3154, 6244, 693, 519, 834, 516, 767, 725, 2437, 543, 1256, 6035, 5667, 4301, 1243, 5796, 827, 875, 649, 11129, 547, 6023, 1978, 2152, 269, 898, 3533, 2968, 7805, 602, 972, 729, 606, 14031, 585, 930, 1769, 27329, 7333, 614, 1063, 891, 1079, 5515, 267, 7488, 540, 2436, 621, 2965, 10630, 4641, 780, 3719, 1287, 1945, 5963, 6397, 5949, 269, 5637, 18281, 543, 5484, 9575, 2842, 540, 519, 1347, 1228, 543, 6603, 856, 547, 803, 27352, 267, 11589, 31768, 693, 519, 2898, 3364, 269, 1284, 22121, 6835, 267, 4687, 14902, 338, 936, 519, 21494, 640, 540, 519, 3510, 267, 543, 6038, 4646, 513, 9758, 4276, 1759, 593, 8994, 2463, 543, 7071, 585, 1434, 5991, 25733, 10775, 6883, 780, 8269, 22162, 593, 713, 1995, 267, 594, 7691, 1896, 1919, 269, 3689, 267, 13395, 4690, 666, 3142, 1004, 1927, 538, 6397, 2081, 282, 538, 713, 2013, 267, 621, 729, 513, 2648, 585, 2797, 14364, 602, 8087, 13794, 543, 14761, 7567, 269, 5822, 267, 3006, 782, 621, 3217, 568, 513, 2370, 9644, 547, 2736, 1524, 7496, 543, 6536, 23274, 269, 1656, 6368, 267, 1256, 9624, 18979, 6735, 543, 20748, 3604, 267, 972, 781, 2141, 4055, 585, 6568, 267, 11587, 267, 543, 3838, 17409, 780, 3383, 267, 9811, 267, 3627, 717, 28026, 1281, 723, 513, 4819, 1107, 543, 7064, 547, 606, 12691, 3126, 540, 2621, 267, 594, 1631, 1293, 8885, 1851, 1346, 26752, 2614, 547, 1289, 1864, 513, 3659, 780, 29682, 281, 8786, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 5649, 519, 1257, 543, 3313, 952, 519, 4845, 568, 3020, 630, 5408, 3681, 693, 519, 1439, 17107, 13731, 9372, 6424, 631, 1961, 630, 9799, 476, 1626, 4728, 476, 4198, 279, 264, 568, 513, 3703, 23267, 9549, 22267, 267, 945, 729, 519, 16588, 540, 12057, 630, 6573, 264, 585, 594, 1186, 16049, 689, 513, 676, 3887, 3005, 538, 476, 1220, 272, 267, 1310, 519, 2669, 540, 16092, 2052, 333, 267, 543, 729, 556, 3887, 21124, 538, 476, 1220, 276, 269, 1261, 729, 12057, 776, 7201, 14199, 540, 3557, 693, 519, 4972, 585, 13255, 267, 2394, 1010, 14710, 538, 519, 476, 1001, 271, 2489, 9550, 676, 5484, 717, 28026, 267, 5067, 540, 5449, 12463, 3627, 717, 28026, 780, 306, 27542, 281, 3627, 717, 28026, 814, 513, 4819, 454, 8008, 307, 281, 910, 8786, 269, 910, 898, 781, 7543, 547, 2161, 269, 910, 3143, 563, 8133, 267, 3627, 717, 28026, 814, 513, 4819, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 9741, 15207, 6068, 2469, 547, 2979, 1362, 267, 2523, 950, 789, 3893, 547, 798, 1187, 2042, 256, 4653, 267, 741, 4116, 267, 6004, 269, 11612, 326, 1231, 267, 5795, 873, 513, 4161, 281, 972, 941, 476, 1839, 1053, 538, 519, 1362, 267, 543, 1142, 835, 1185, 1044, 2016, 513, 4351, 1297, 1063, 476, 272, 543, 476, 1911, 269, 634, 2698, 540, 782, 1346, 2338, 3773, 909, 547, 476, 273, 267, 1822, 269, 1358, 2877, 547, 1265, 519, 3328, 540, 519, 1283, 2947, 5207, 2338, 780, 20755, 3240, 6743, 1472, 519, 4055, 267, 18516, 540, 1141, 547, 2253, 269, 1261, 4956, 547, 2911, 1919, 936, 609, 1010, 3659, 21667, 269, 8625, 267, 789, 3323, 3206, 25401, 543, 21230, 269, 3689, 267, 789, 6785, 602, 2094, 972, 941, 476, 1839, 3214, 543, 519, 2698, 729, 476, 273, 267, 1822, 267, 602, 5921, 519, 3328, 540, 782, 519, 2338, 729, 476, 273, 267, 1822, 5258, 676, 476, 1839, 267, 610, 476, 3199, 269, 3973, 267, 6616, 602, 519, 7887, 1297, 4896, 1223, 1205, 729, 476, 1911, 267, 789, 7691, 1945, 4277, 910, 952, 1169, 4819, 1185, 20335, 476, 1911, 267, 519, 2698, 1131, 2965, 581, 1932, 1164, 267, 1317, 476, 1839, 2053, 476, 1911, 11224, 476, 273, 267, 4335, 269, 1924, 267, 5693, 267, 930, 2338, 1590, 581, 2539, 982, 476, 1911, 780, 257, 28646, 594, 666, 4194, 713, 10590, 1767, 15207, 31113, 269, 834, 4131, 803, 7058, 519, 1283, 2947, 2338, 282, 594, 914, 789, 2811, 476, 4817, 267, 476, 9834, 267, 476, 9032, 267, 476, 7176, 267, 543, 476, 4200, 10590, 1809, 1354, 646, 1223, 2328, 602, 2626, 593, 519, 4604, 267, 21667, 11074, 1864, 269, 2701, 11329, 856, 602, 1256, 1498, 1346, 1522, 581, 2462, 7399, 267, 789, 1869, 4769, 1405, 1039, 909, 547, 2614, 2943, 269, 769, 1249, 267, 519, 10545, 540, 1346, 2338, 267, 476, 4817, 267, 7012, 1405, 1454, 2362, 982, 519, 2949, 3328, 540, 476, 3199, 269, 2334, 1500, 15207, 8275, 602, 4466, 519, 3020, 1283, 2947, 2338, 1131, 1491, 811, 2219, 543, 1416, 780, 5445, 4682, 1394, 547, 741, 16295, 267, 2324, 2182, 593, 23115, 856, 519, 1483, 5728, 540, 519, 1283, 2947, 2338, 269, 1306, 789, 1705, 267, 824, 3214, 10356, 1412, 1037, 267, 8049, 543, 11235, 547, 1451, 2059, 609, 873, 269, 3807, 1287, 267, 6004, 269, 11612, 326, 1231, 15336, 676, 543, 20493, 267, 7487, 3025, 7722, 538, 2620, 6310, 4901, 269, 898, 18056, 1864, 540, 1946, 3450, 729, 971, 513, 7772, 267, 4543, 8186, 1332, 2178, 543, 6505, 899, 2370, 6801, 26124, 538, 519, 4928, 6607, 269, 1656, 4352, 1100, 835, 8694, 909, 6061, 519, 1966, 4625, 1282, 1362, 267, 789, 4121, 3407, 4245, 1927, 827, 16542, 267, 17429, 794, 267, 543, 16042, 2591, 21825, 269, 6884, 267, 10888, 3884, 1405, 827, 2348, 519, 1318, 2626, 5612, 267, 855, 2864, 11981, 519, 3460, 543, 2208, 2059, 519, 1259, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 24685, 513, 2979, 1362, 267, 972, 616, 476, 1839, 1053, 269, 3962, 2875, 568, 2016, 513, 4351, 1297, 689, 476, 272, 547, 476, 1911, 269, 634, 2040, 540, 782, 891, 2338, 568, 476, 273, 267, 1822, 269, 1548, 568, 519, 3328, 540, 519, 5207, 476, 276, 2338, 888, 295, 842, 281, 6056, 827, 875, 596, 666, 946, 7954, 543, 7744, 547, 7522, 1524, 519, 2009, 2418, 540, 519, 5207, 476, 276, 2338, 267, 543, 1287, 1265, 741, 3328, 563, 2414, 1265, 519, 3328, 540, 519, 5207, 476, 276, 2338, 267, 649, 991, 547, 1101, 4137, 856, 1018, 1346, 476, 276, 2338, 616, 269, 3097, 2171, 917, 602, 519, 2040, 540, 782, 476, 1839, 2338, 568, 476, 273, 267, 1822, 267, 865, 519, 3328, 540, 782, 476, 1839, 2338, 568, 476, 273, 267, 1822, 270, 1839, 815, 476, 3199, 269, 3097, 7712, 1142, 2875, 729, 2016, 513, 4351, 1297, 1063, 476, 272, 543, 476, 1911, 267, 649, 917, 602, 519, 5207, 2009, 1871, 585, 1022, 2582, 1297, 568, 476, 1911, 269, 3097, 2252, 782, 476, 1839, 1053, 941, 2016, 519, 5021, 1871, 540, 476, 1911, 267, 519, 2040, 540, 782, 519, 2338, 1131, 581, 476, 1839, 1535, 476, 1911, 815, 476, 273, 267, 4335, 267, 799, 568, 3152, 982, 519, 2016, 2040, 540, 476, 273, 267, 1822, 269, 3097, 11997, 267, 649, 917, 602, 693, 2547, 835, 540, 519, 476, 1839, 2338, 568, 1447, 982, 476, 1911, 269, 3097, 2414, 1265, 519, 5207, 476, 276, 2338, 267, 649, 666, 1376, 676, 14322, 602, 782, 476, 276, 540, 873, 616, 476, 1911, 269, 634, 2040, 540, 891, 476, 276, 2338, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 8080, 547, 938, 2979, 7045, 2221, 256, 1284, 2811, 2469, 547, 2263, 513, 4241, 1523, 1572, 13106, 23585, 27155, 338, 269, 3767, 267, 1810, 1405, 1577, 519, 2012, 29057, 596, 2476, 1317, 891, 6310, 13300, 1397, 909, 782, 936, 519, 1747, 267, 1256, 538, 4025, 1141, 596, 1522, 2547, 2503, 873, 269, 1924, 10544, 707, 3206, 11503, 267, 543, 1577, 781, 4685, 1318, 538, 2439, 5331, 596, 723, 513, 2462, 18061, 540, 2679, 7161, 540, 1114, 4778, 1107, 2699, 267, 4544, 267, 3039, 267, 5835, 267, 543, 865, 593, 269, 1452, 7161, 2099, 2418, 602, 649, 666, 946, 538, 6128, 269, 6884, 267, 950 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3144, 585, 2079, 4951, 606, 6397, 1267, 281, 2030, 11103, 1107, 23741, 1107, 941, 1336, 538, 519, 7848, 585, 18138, 519, 6821, 269, 634, 3504, 4095, 726, 770, 18996, 3773, 476, 1015, 260, 540, 23741, 31537, 11103, 547, 519, 7848, 540, 10036, 543, 18654, 563, 298, 841, 553, 534, 24048, 568, 606, 796, 337, 2526, 539, 20100, 543, 606, 11141, 11265, 2497, 1107, 513, 18912, 9661, 20077, 538, 6149, 2336, 1103, 476, 2735, 274, 519, 11875, 7702, 595, 2314, 609, 519, 918, 841, 1662, 11454, 267, 918, 841, 553, 534, 24048, 267, 729, 27485, 593, 519, 20648, 2622, 11595, 5903, 269, 0, 2252, 596, 4076, 2479, 2808, 513, 4876, 538, 2780, 2257, 267, 855, 723, 1044, 27209, 676, 519, 3668, 540, 12587, 267, 10747, 3069, 267, 543, 519, 991, 547, 581, 3860, 267, 596, 2461, 711, 4805, 269, 769, 713, 2376, 267, 649, 3580, 1413, 693, 930, 540, 519, 1034, 1455, 2042, 609, 2780, 2257, 267, 543, 1018, 596, 666, 798, 827, 873, 269, 2991, 2542, 998, 621, 267, 596, 949, 581, 14281, 693, 875, 1454, 596, 771, 3697, 621, 269, 16593, 2685, 267, 891, 10372, 786, 948, 596, 1265, 513, 1007, 4287, 538, 707, 4876, 563, 3682, 21793, 609, 2780, 2257, 454, 10743, 540, 2780, 2257, 616, 6534, 547, 513, 2647, 3099, 540, 2591, 269, 1358, 949, 3068, 1970, 1582, 12635, 267, 791, 739, 528, 6794, 267, 543, 2528, 8710, 269, 1358, 949, 849, 1995, 22876, 2858, 1588, 543, 29015, 269, 769, 930, 2665, 267, 789, 949, 723, 547, 13720, 1514, 2152, 267, 971, 607, 10168, 267, 3023, 1143, 267, 610, 1362, 1143, 269, 6736, 891, 2591, 267, 11483, 1053, 616, 2111, 547, 7753, 873, 269, 1717, 267, 972, 616, 1082, 811, 2188, 602, 666, 2014, 1053, 547, 723, 2042, 563, 299, 871, 540, 1134, 20452, 3069, 454, 288, 1883, 1966, 538, 2780, 2257, 568, 519, 3668, 540, 513, 1134, 20452, 3069, 269, 23675, 543, 519, 4950, 616, 1360, 1950, 1949, 267, 8506, 1007, 6310, 2093, 543, 10319, 960, 269, 8950, 3744, 1590, 12840, 609, 8030, 543, 30095, 3744, 267, 607, 1134, 607, 609, 4648, 538, 4143, 4610, 269, 1306, 513, 1267, 267, 519, 3668, 540, 1134, 20452, 3069, 538, 2780, 2257, 568, 513, 1966, 538, 1082, 4610, 269, 3371, 616, 1614, 2081, 547, 2232, 519, 1966, 563, 763, 1101, 1935, 547, 16185, 713, 3390, 568, 547, 2327, 602, 782, 1053, 723, 519, 4316, 547, 1451, 2780, 2257, 269, 634, 1353, 540, 2780, 2257, 10953, 6568, 543, 11942, 606, 7071, 585, 4763, 269, 4841, 1451, 547, 1174, 519, 2956, 540, 1966, 6061, 267, 519, 476, 275, 595, 338, 267, 543, 9698, 269, 8950, 2257, 568, 513, 4295, 1641, 538, 2069, 543, 606, 1271, 5057, 540, 606, 2949, 2069, 269, 1306, 513, 1267, 267, 2780, 2257, 568, 606, 1898, 1641, 585, 782, 1053, 563, 299, 871, 540, 12587, 454, 20663, 2257, 568, 513, 9157, 2101, 269, 898, 3340, 7920, 2979, 1983, 267, 1279, 3346, 3108, 267, 543, 14053, 11400, 269, 769, 2132, 267, 596, 786, 1451, 547, 1982, 5904, 543, 4194, 6310, 2042, 269, 1411, 3580, 2328, 3608, 9479, 585, 1483, 8996, 2042, 269, 8409, 12587, 1118, 621, 4502, 519, 15093, 543, 1928, 269, 1809, 1018, 779, 519, 10782, 851, 827, 2780, 2257, 286, 1548, 1281, 621, 798, 585, 596, 286, 3367, 593, 547, 1451, 1018, 596, 1058, 2503, 269, 0, 16676, 1581, 12933, 281, 513, 4494, 540, 4224, 630, 349, 1789, 14790, 5394, 264, 2348, 519, 5888, 540, 25342, 602, 13054, 519, 17407, 269, 31615, 548, 281, 519, 1647, 630, 663, 5394, 652, 264, 4494, 540, 519, 4396, 3618, 267, 14084, 9944, 519, 12933, 267, 543, 1657, 519, 4295, 267, 7768, 540, 3623, 6510, 2326, 269, 19077, 14459, 281, 9018, 14461, 7387, 540, 3618, 630, 10175, 5580, 25136, 267, 543, 5836, 270, 11666, 1581, 12933, 264, 6353, 676, 1373, 2178, 543, 4224, 6438, 267, 5258, 883, 6676, 602, 1847, 607, 14461, 4559, 1282, 29684, 3157, 269, 8330, 1156, 14459, 281, 513, 13148, 25183, 4494, 540, 4224, 538, 519, 5580, 25136, 602, 568, 4617, 2614, 547, 2095, 543, 2014, 3350, 540, 519, 936, 2391, 12776, 2214, 8879, 6676, 269, 17934, 23033, 9582, 281, 29684, 4205, 4611, 689, 519, 3350, 540, 12776, 2214, 8879, 10824, 269, 570, 624, 4577, 10824, 281, 15523, 540, 519, 5580, 4396, 3618, 630, 331, 603, 14459, 264, 1847, 607, 14461, 10824, 538, 29684, 3157, 269, 20593, 7217, 19114, 281, 513, 10465, 1063, 1079, 12776, 2214, 8879, 10824, 602, 1847, 2509, 1142, 824, 543, 2014, 513, 16580, 540, 17407, 610, 1016, 9134, 540, 835, 6676, 9944, 519, 824, 269, 17992, 13337, 14345, 281, 513, 10465, 1063, 12776, 2214, 8879, 10824, 1141, 519, 10824, 13472, 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 ]
[ 1312, 4299, 938, 12058, 2443, 543, 3775, 5523, 721, 540, 3339, 267, 2635, 2081, 547, 11883, 563, 24965, 1027, 17133, 1813, 547, 2566, 454, 9617, 21183, 540, 835, 1032, 883, 519, 6855, 267, 513, 3084, 5619, 540, 23671, 6700, 602, 811, 982, 3368, 540, 782, 17013, 2443, 476, 6321, 829, 1298, 2443, 1767, 789, 941, 4743, 2799, 2566, 610, 4160, 607, 513, 1267, 540, 5046, 268, 866, 269, 7324, 1346, 9907, 476, 1240, 268, 4097, 267, 621, 729, 1256, 2362, 267, 693, 476, 8287, 829, 1298, 563, 2791, 1810, 1406, 723, 547, 581, 24949, 610, 20158, 2443, 596, 2461, 1175, 2713, 998, 513, 6855, 269, 2107, 607, 3220, 269, 23011, 5062, 4504, 344, 516, 6257, 621, 267, 968, 323, 2905, 267, 20437, 267, 23872, 2566, 3034, 289, 23230, 666, 12115, 454, 10527, 2634, 568, 11212, 5068, 543, 11212, 1110, 16666, 543, 11212, 2111, 547, 16956, 4733, 2223, 5062, 4504, 344, 516, 1767, 269, 1656, 2899, 519, 2707, 540, 2566, 568, 6569, 267, 519, 2634, 11387, 2253, 547, 3339, 1125, 1586, 563, 2108, 2791, 1294, 513, 15494, 540, 2634, 5547, 1599, 267, 543, 596, 849, 1294, 513, 29915, 566, 540, 2634, 5160, 1317, 938, 12058, 267, 938, 11409, 267, 938, 2634, 2281, 267, 3136, 547, 1332, 3034, 4517, 538, 519, 2013, 540, 519, 6855, 267, 2899, 1034, 1004, 616, 4628, 18764, 267, 2899, 1272, 7024, 547, 1018, 568, 4122, 2219, 540, 607, 968, 7538, 892, 2443, 609, 3214, 538, 1153, 267, 543, 1004, 693, 960, 267, 543, 14060, 2407, 540, 1004, 16304, 856, 1927, 1510, 13968, 593, 2443, 5062, 4504, 344, 516, 3081, 2634, 9156, 1464, 1058, 1246, 538, 2110, 1931, 563, 2414, 1224, 811, 267, 4945, 593, 281, 901, 568, 707, 2634, 593, 6855, 281, 1548, 5312, 2566, 568, 3257, 547, 721, 454, 5649, 811, 689, 595, 6195, 5240, 685, 5153, 7315, 773, 670, 25830, 593, 1946, 513, 1032, 540, 2048, 323, 2905, 267, 20437, 267, 23872, 2566, 685, 666, 2965, 1860, 938, 2634, 5160, 269, 0, 1432, 1281, 16468, 2965, 1611, 888, 763, 2229, 4214, 540, 16468, 568, 950, 596, 666, 3409, 2407, 2640, 693, 513, 1978, 2085, 269, 1703, 568, 1100, 7156, 585, 707, 2883, 3510, 267, 2724, 3853, 267, 1072, 267, 610, 1272, 19104, 676, 1133, 2193, 6341, 269, 1261, 3085, 1406, 2015, 707, 16468, 4566, 610, 875, 596, 1131, 899, 547, 6108, 707, 11344, 1296, 563, 6097, 547, 519, 8675, 267, 16468, 1797, 1100, 3476, 2324, 543, 2713, 1055, 707, 9806, 563, 2791, 2461, 2693, 547, 6108, 811, 942, 593, 16837, 2238, 1282, 713, 1974, 269, 27692, 2274, 6308, 267, 513, 14468, 2883, 1544, 1676, 543, 606, 19137, 540, 18043, 1773, 22395, 4759, 267, 3081, 10747, 16468, 2687, 547, 707, 2418, 543, 5133, 568, 1898, 269, 634, 3804, 1058, 581, 547, 1291, 513, 1272, 596, 2461, 13730, 827, 269, 3371, 616, 930, 4388, 593, 875, 547, 1711, 513, 16419, 16468, 1544, 912, 272, 269, 32341, 1548, 779, 4107, 11879, 454, 763, 1101, 1900, 538, 10747, 16468, 568, 23115, 856, 1018, 596, 786, 798, 609, 707, 16012, 1863, 942, 269, 12344, 596, 1616, 547, 2951, 519, 1158, 267, 3605, 1007, 12348, 267, 610, 946, 707, 1983, 547, 960, 851, 6066, 610, 1376, 513, 2427, 1870, 269, 8921, 267, 596, 991, 547, 1589, 827, 950, 596, 786, 3247, 2324, 269, 634, 674, 296, 3918, 3350, 1107, 11038, 14412, 1315, 4825, 790, 7216, 1107, 7512, 1427, 3931, 1134, 6619, 540, 519, 3328, 16468, 2085, 269, 1717, 267, 596, 1522, 581, 2111, 547, 8488, 16468, 543, 3251, 538, 707, 13781, 3476, 563, 273, 269, 6480, 1493, 1548, 2659, 4825, 790, 618, 4024, 8779, 454, 5475, 6236, 1018, 16468, 786, 27167, 543, 950, 596, 4126, 547, 1376, 267, 596, 666, 5173, 875, 1454, 596, 3580, 991, 547, 4688, 547, 1118, 621, 513, 4641, 269, 898, 779, 711, 16613, 585, 13649, 525, 945, 1544, 547, 1376, 4213, 610, 2661, 593, 23593, 9635, 547, 723, 513, 1114, 16468, 6578, 982, 1866, 563, 24718, 707, 6059, 856, 4707, 9276, 547, 707, 6059, 16468, 4747, 2899, 596, 723, 7229, 707, 6578, 269, 1452, 1331, 4317, 8232, 2640, 267, 533, 5014, 267, 11198, 1023, 689, 476, 25002, 17347, 264, 338, 267, 11198, 1023, 689, 16843, 2026, 267, 7131, 543, 6666, 9806, 15271, 267, 27836, 1734, 596, 4309, 267, 543, 3045, 340, 885, 596, 4444, 269, 0, 277, 7160, 540, 667, 13433, 689, 6132, 2380, 1299, 2371, 1336, 538, 519, 17048, 563, 291, 13433, 689, 6132, 2380, 1299, 2371, 454, 18250, 26364, 987, 267, 7225, 344, 9546, 323, 1676, 454, 347, 13750, 618, 1475, 297, 644, 344, 9546, 323, 1676, 17755, 337, 987, 8198, 21511, 8447, 8629, 2008, 19064, 698, 1588, 1475, 13893, 533, 1421, 476, 3762, 540, 897, 269, 10824, 2433, 2008, 31871, 540, 9664, 1475, 13893, 2008, 301, 6838, 19135, 14704, 543, 6132, 1156, 4274, 6941, 875, 547, 1711, 543, 946, 24470, 6508, 689, 6132, 2380, 269, 7956, 6227, 1686, 540, 519, 946, 540, 6132, 1156, 23416, 267, 2922, 10085, 4370, 2409, 267, 3235, 10999, 3280, 10085, 4370, 267, 543, 946, 540, 544, 867, 1218, 267, 6132, 1156, 8446, 267, 543, 811, 269, 3371, 568, 513, 2347, 3391, 547, 1818, 543, 1210, 24470, 689, 513, 2647, 3099, 540, 2371, 2443, 689, 1035, 1941, 547, 1990, 4883, 807, 269, 1280, 1142, 2030, 281, 29839, 585, 10085, 4370, 267, 2694, 547, 946, 267, 4393, 267, 8244, 267, 3728, 1145, 540, 20004, 267, 811, 269, 22291, 1592, 540, 14273, 267, 11973, 7503, 3349, 267, 543, 15853, 563, 20486, 593, 29325, 4370, 609, 674, 2426, 328, 13397, 1156, 667, 13433, 634, 1715, 11905, 3883, 676, 27239, 4144, 611, 1157, 16629, 1088, 2006, 269, 631, 2313, 7741, 3657, 547, 667, 6614, 1280, 676, 8349, 10557, 269, 634, 14175, 11312, 645, 2940, 987, 3733, 32243, 281, 513, 631, 2313, 3336, 667, 9807, 779, 12197, 6651, 676, 1488, 22220, 543, 21142, 645, 612, 8291, 667, 13433, 689, 6132, 2380, 1299, 2371, 267, 7225, 344, 9546, 323, 1676, 17755, 337, 987, 267, 17842, 281, 11709, 715, 739, 8681, 22365, 3835, 267, 8191, 281, 590, 826, 30657, 749, 269, 12518, 267, 29068, 543, 6886, 616, 782, 2959, 540, 2067, 24470, 609, 519, 5354, 6508, 689, 2030, 2959, 971, 607, 5072, 267, 15708, 267, 13626, 267, 3762, 267, 6132, 1156, 543, 13271, 269, 1703, 616, 513, 5318, 1297, 540, 2371, 689, 799, 596, 666, 3489, 20004, 563, 7476, 713, 689, 513, 5399, 256, 7186, 781, 4778, 281, 24470, 689, 2371, 269, 1496, 296, 6767, 3400, 324, 316, 4534, 834, 10521, 4627, 543, 24239, 32732, 10346, 585, 2067, 24470, 616, 4628, 7318, 543, 8167, 539, 585, 4052, 1753, 7041, 1701, 734, 21812, 6609, 269, 7849, 24470, 616, 24470, 610, 2681, 1218, 6508, 689, 2371, 267, 29068, 267, 610, 6886, 269, 634, 5354, 540, 2067, 24470, 616, 10448, 24470, 689, 2030, 2959, 1765, 23085, 267, 15708, 267, 13626, 267, 3762, 267, 543, 3574, 11652, 824, 6211, 2959, 971, 607, 13271, 543, 6132, 2380, 269, 16329, 5505, 723, 1336, 2963, 540, 19135, 10085, 4370, 6580, 1394, 547, 519, 32665, 1974, 269, 769, 3624, 267, 10085, 4370, 609, 2371, 267, 3046, 802, 543, 7786, 814, 4586, 3951, 290, 1826, 2183, 4015, 563, 288, 10021, 518, 585, 17912, 10435, 454, 25567, 753, 18246, 538, 772, 2529, 269, 18594, 4926, 454, 324, 977, 4369, 540, 5313, 9441, 24539, 3292, 454, 6781, 601, 731, 1299, 4477, 18857, 454, 306, 1245, 1359, 3564, 519, 9238, 454, 763, 1153, 585, 605, 21745, 1023, 454, 5938, 778, 256, 7827, 256, 25085, 2336, 288, 1867, 540, 519, 4659, 593, 519, 1977, 4095, 9906, 538, 14451, 4065, 267, 853, 269, 18039, 2160, 267, 5147, 476, 1015, 268, 2764, 267, 476, 3192, 273, 563, 291, 13433, 689, 13397, 2380, 543, 12518, 10434, 16225, 1107, 5130, 476, 272, 267, 676, 7225, 344, 9546, 323, 1676, 17755, 337, 987, 630, 12041, 264, 276, 270, 276, 263, 272, 1040, 667, 13433, 3245, 13397, 2380, 1299, 12518, 10434, 16225, 1107, 5130, 476, 272, 267, 676, 7225, 344, 9546, 323, 1676, 17755, 337, 987, 630, 12041, 264, 276, 270, 276, 263, 272, 1040, 13397, 2380, 616, 8049, 2371, 267, 7768, 540, 13271, 543, 13479, 602, 1419, 18613, 521, 7120, 2583, 540, 5862, 890, 9934, 689, 7725, 610, 3574, 563, 5445, 723, 1044, 1031, 547, 1711, 13085, 267, 11684, 24470, 585, 936, 476, 275, 267, 1296, 269, 275, 270, 276, 269, 7046, 7732, 568, 606, 1930, 267, 1196, 3386, 5399, 17048, 267, 2679, 2509, 513, 1357, 2985, 585, 1169, 1433, 2479, 3370, 269, 667, 13433, 689, 6132, 2380, 1299, 2371, 676, 17755, 337, 987, 267, 7225, 344, 9546, 323, 1676, 282, 476, 272, 7160, 282, 3689, 3370, 538, 6902, 23527, 281, 23582, 667, 13433, 543, 10085, 4370, 267, 667, 6614, 2371, 267, 667, 13433, 563, 299, 545, 1156, 667, 13433, 281, 634, 1715, 11905, 3883, 269, 13397, 2380, 616, 8049, 2371, 267, 7768, 540, 13271, 543, 13479, 602, 1419, 18613, 521, 7120, 2583, 540, 5862, 890, 9934, 689, 7725, 610, 3574, 269, 1358, 723, 1044, 1031, 547, 1711, 13085, 267, 11684, 24470, 585, 936, 476, 275, 267, 1296, 563, 763, 5354, 540, 2067, 24470, 616, 10448, 24470, 689, 2030, 2959, 910, 23085, 267, 15708, 267, 13626, 267, 3762, 267, 543, 3574, 910, 543, 824, 5214, 2959, 971, 607, 13271, 543, 6132, 2380, 269, 16329, 5505, 723, 1336, 2963, 540, 19135, 10085, 4370, 6580, 1394, 547, 519, 32665, 1974, 563, 1103, 3624, 267, 10085, 4370, 609, 2371, 267, 3046, 802, 543, 7786, 814, 1044, 14360, 1394, 811, 982, 476, 276, 267, 1296, 269, 13397, 1156, 24470, 616, 6086, 633, 267, 2495, 1100, 544, 867, 656, 568, 2877, 269, 2353, 13397, 2380, 2270, 7408, 602, 3180, 840, 15479, 832, 540, 4778, 563, 5278, 6132, 2380, 723, 1978, 7408, 602, 2285, 811, 10565, 4778, 982, 1866, 269, 1809, 782, 666, 581, 1031, 585, 10085, 4370, 543, 9039, 991, 513, 544, 867, 656, 269, 634, 5223, 540, 6132, 1156, 547, 1216, 568, 476, 273, 7484, 540, 6132, 1156, 585, 476, 272, 26412, 540, 6775, 269, 13397, 1156, 24470, 616, 6086, 633, 267, 2495, 1100, 544, 867, 656, 2877, 269, 2353, 6132, 2380, 2270, 7408, 602, 3180, 840, 15479, 832, 540, 4778, 563, 2005, 781, 711, 2394, 1310, 596, 20004, 602, 596, 666, 1404, 543, 946, 1110, 13294, 547, 7369, 519, 2681, 269, 476, 5655, 9343, 10552, 10174, 630, 306, 1481, 514, 7559, 666, 611, 18424, 264, 729, 1031, 547, 3132, 2699, 24470, 269, 5682, 24470, 269, 16179, 513, 10464, 5299, 540, 13397, 1156, 667, 13433, 281, 634, 1715, 11905, 3883, 676, 27239, 4144, 611, 1157, 16629, 1088, 2006, 563, 301, 6838, 19135, 14704, 543, 6132, 1156, 4274, 6941, 875, 547, 1711, 543, 946, 24470, 6508, 689, 6132, 2380, 269, 7956, 6227, 1686, 540, 519, 946, 540, 6132, 1156, 23416, 267, 2922, 10085, 4370, 5131, 11288, 936, 1269, 270, 276, 263, 273, 1040, 5192, 713, 689, 513, 5399, 563, 291, 13433, 689, 6132, 2380, 1299, 2371, 269, 1496, 297, 644, 344, 9546, 323, 1676, 17755, 337, 987, 316, 4534, 2677, 32606, 2067, 24470, 1336, 538, 519, 1975, 775, 7345, 1858, 269, 13397, 2380, 616, 8049, 2371, 267, 7768, 540, 13271, 543, 13479, 602, 1419, 18613, 521, 7120, 2583, 540, 5862, 890, 9934, 689, 7725, 610, 3574, 563, 5445, 723, 1044, 1031, 547, 269, 634, 13397, 1156, 667, 13433, 2368, 540, 519, 1034, 3730, 24470, 543, 519, 2547, 1634, 616, 547, 581, 1336, 1851, 519, 13397, 2380, 563, 5445, 3100, 547, 723, 1044, 1031, 1851, 32066, 10085, 619, 689, 6552, 6502, 267, 855, 15151, 9039, 540, 519, 1390, 3943, 10085, 619, 1031, 873, 267, 6862, 616, 789, 5018, 538, 1022, 540, 519, 2025, 2835, 593, 10085, 4370, 563, 763, 1152, 13397, 1156, 24470, 602, 616, 1634, 3622, 1851, 10085, 619, 616, 269, 13397, 2380, 616, 4277, 7103, 269, 1358, 616, 3309, 267, 22537, 267, 6198, 267, 543, 2370, 6956, 269, 1358, 1404, 606, 1271, 1909, 538, 938, 2067, 8134, 543, 666, 1577, 721, 917, 950, 1346, 8134, 616, 538, 8373, 563, 299, 545, 2380, 616, 4190, 267, 2523, 950, 596, 2070, 513, 6132, 1156, 1673, 27221, 19958, 1922, 597, 610, 513, 10477, 12933, 2275, 2642, 29384, 267, 543, 909, 2673, 950, 9763, 896, 513, 1688, 2000, 839, 610, 563, 10233, 19145, 24470, 269, 1703, 616, 513, 1804, 1297, 540, 6132, 2380, 602, 3132, 12050, 26070, 29744, 24470, 538, 14495, 1216, 269, 667, 6614, 5528, 1306, 609, 1034, 2067, 24470, 267, 6132, 1156, 24470, 960, 1655, 593, 15144, 610, 16536, 602, 814, 1044, 18233, 547, 4894, 11041, 269, 29158 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3375, 547, 3398, 948, 568, 7357, 741, 1378, 267, 543, 602, 3375, 786, 581, 28165, 269, 0, 10890, 8387, 2671, 972, 814, 1044, 968, 320, 8101, 2333, 892, 538, 519, 1297, 540, 1453, 945, 723, 5063, 7318, 2318, 585, 5046, 268, 866, 563, 257, 2026, 540, 5147, 476, 3066, 267, 5176, 476, 275, 269, 273, 2929, 1453, 723, 7318, 2318, 585, 5046, 268, 866, 2094, 519, 12614, 540, 519, 6855, 269, 20290, 476, 7761, 267, 1822, 2665, 941, 3773, 519, 2250, 3018, 267, 513, 8101, 2333, 689, 519, 1991, 3018, 950, 827, 476, 4375, 267, 1822, 2665, 941, 4080, 269, 2991, 19394, 538, 2038, 4832, 267, 1126, 2665, 723, 20406, 2799, 538, 5147, 2437, 789, 5206, 538, 513, 3948, 563, 4407, 713, 568, 676, 1100, 1797, 10950, 3377, 267, 519, 1867, 849, 3838, 519, 1271, 1249, 602, 834, 327, 2214, 1388, 1436, 543, 2669, 1496, 22366, 547, 5046, 316, 568, 16613, 538, 1453, 4799, 10890, 8387, 2161, 693, 2547, 476, 275, 269, 273, 2929, 1977, 3214, 723, 26438, 519, 3644, 2094, 519, 4098, 540, 519, 6855, 267, 855, 9684, 2685, 267, 1152, 476, 271, 269, 272, 2600, 547, 476, 272, 269, 280, 2600, 540, 782, 2665, 538, 1295, 832, 723, 3238, 30674, 269, 634, 1867, 4967, 4049, 3644, 2589, 267, 899, 7411, 7244, 543, 9854, 267, 849, 4686, 538, 1762, 1004, 269, 18200, 1275, 3928, 538, 1453, 543, 12322, 616, 849, 1970, 609, 1295, 832, 8051, 585, 476, 271, 269, 6734, 2600, 540, 1004, 945, 723, 5747, 607, 513, 1267, 540, 519, 3644, 563, 763, 1977, 9142, 540, 27435, 543, 519, 5753, 779, 11233, 5948, 616, 28409, 585, 2417, 1239, 543, 513, 1353, 540, 519, 2009, 2360, 540, 1022, 1279, 3856, 2800, 519, 3644, 543, 519, 6855, 1522, 581, 4929, 1762, 1004, 267, 17548, 267, 834, 2467, 568, 606, 14849, 991, 547, 2445, 811, 1239, 593, 3476, 3856, 5222, 540, 519, 6855, 593, 1453, 267, 1519, 2081, 519, 3644, 949, 2800, 519, 1279, 3856, 2168, 1072, 540, 7783, 1453, 267, 607, 1134, 607, 922, 3929, 543, 2790, 1072, 2360, 4799, 763, 24930, 2566, 519, 1655, 8878, 1996, 5046, 568, 3478, 18764, 269, 1403, 707, 1126, 568, 14718, 630, 528, 952, 972, 616, 1022, 4079, 538, 519, 1753, 945, 723, 711, 1044, 18764, 2943, 264, 1265, 856, 1141, 547, 1205, 513, 1863, 5046, 268, 866, 6669, 267, 1934, 610, 3406, 10074, 10993, 267, 1257, 707, 2098, 7709, 3009, 547, 476, 275, 4343, 279, 3066, 267, 610, 1289, 476, 272, 268, 8517, 268, 22446, 268, 271, 2537, 274, 547, 1265, 6753, 2282, 596, 538, 519, 772, 2529, 563, 2414, 7413, 707, 1126, 781, 5046, 1981, 2015, 2921, 891, 6604, 3268, 912, 268, 23203, 513, 9633, 1247, 16280, 950, 15025, 609, 519, 1857, 454, 268, 23423, 11255, 2238, 609, 1004, 3544, 540, 707, 7622, 543, 1346, 945, 616, 711, 18764, 543, 1904, 585, 9205, 2238, 950, 2009, 267, 1519, 18226, 3544, 454, 268, 23423, 707, 4598, 547, 1804, 2516, 267, 4896, 945, 568, 711, 18764, 267, 1004, 609, 5046, 2589, 267, 543, 1346, 945, 949, 723, 1044, 6534, 547, 2576, 609, 519, 3644, 454, 268, 15566, 547, 11547, 543, 24846, 1125, 3946, 0, 26903, 568, 5863, 269, 1284, 666, 2760, 5660, 621, 2614, 269, 6884, 267, 9583, 24735, 2067, 2609, 666, 723, 6286, 602, 616, 25340, 2247, 1532, 27172, 269, 2290, 971, 2067, 3693, 568, 27392, 11330, 12994, 269, 898, 568, 513, 6219, 4947, 896, 2810, 22987, 267, 5103, 799, 267, 621, 18327, 547, 581, 811, 14952, 748, 982, 19424, 539, 563, 763, 2262, 4412, 12994, 24865, 689, 519, 5259, 1893, 543, 12777, 1797, 585, 519, 2749, 269, 27392, 4412, 12994, 568, 519, 6219, 10987, 1118, 543, 946, 585, 741, 2749, 610, 2146, 267, 1775, 4318, 269, 741, 554, 633, 269, 2142, 525, 946, 621, 585, 554, 633, 8878, 543, 1785, 1005, 554, 633, 11768, 269, 898, 568, 20202, 267, 14589, 344, 267, 543, 979, 4141, 344, 609, 922, 27280, 4470, 593, 621, 2959, 269, 898, 666, 581, 6960, 880, 267, 26070, 267, 610, 3039, 880, 610, 949, 723, 2789, 18707, 4470, 593, 922, 3148, 269, 2142, 525, 10359, 741, 32105, 609, 621, 543, 946, 621, 547, 7816, 9932, 1260, 2125, 269, 9453, 621, 267, 519, 554, 633, 568, 11630, 547, 4551, 543, 8290, 269, 2142, 525, 1118, 4412, 12994, 689, 741, 1378, 11166, 267, 1775, 4318, 269, 19975, 543, 10987, 342, 1314, 267, 543, 27386, 2609, 971, 607, 3529, 18682, 267, 3529, 18300, 267, 14947, 267, 543, 3529, 1299, 2030, 608, 644, 919, 269, 19029, 3132, 18300, 547, 13021, 16398, 267, 2061, 17343, 267, 543, 6146, 15495, 269, 1401, 644, 919, 616, 5728, 687, 676, 2371, 607, 851, 540, 741, 11091, 7271, 269, 27392, 4412, 12994, 949, 723, 930, 610, 782, 540, 891, 2609, 563, 28308, 2079, 814, 7000, 4412, 12994, 547, 17663, 540, 936, 476, 4968, 7135, 267, 519, 5354, 540, 799, 616, 2717, 2988, 1156, 11169, 269, 634, 4527, 540, 891, 7135, 568, 3743, 585, 519, 1114, 3601, 540, 13520, 4412, 12994, 269, 11330, 12994, 568, 1164, 538, 8324, 543, 6886, 267, 855, 1164, 32064, 1355, 1293, 568, 519, 1292, 23784, 540, 6225, 11254, 7408, 543, 824, 7135, 269, 4469, 822, 517, 6950, 616, 519, 1292, 25168, 1156, 11169, 1459, 269, 1358, 616, 2030, 7135, 609, 1164, 15934, 2534, 269, 12518, 3132, 873, 547, 2149, 2933, 269, 1358, 616, 4122, 1336, 538, 4829, 543, 5388, 543, 616, 4105, 547, 513, 2030, 779, 8878, 1062, 269, 4935, 267, 547, 1118, 11330, 12994, 267, 519, 4761, 1062, 540, 1312, 519, 13520, 543, 519, 3529, 270, 8690, 568, 3238, 269, 898, 568, 547, 581, 4397, 602, 621, 786, 4324, 519, 1480, 4761, 1062, 607, 1134, 269, 1230, 2425, 1113, 569, 267, 13520, 4412, 12994, 10607, 938, 4761, 1072, 543, 2337, 721, 4339, 1586, 8290, 971, 607, 519, 2770, 267, 15319, 11563, 267, 543, 1455, 4411, 563, 303, 24227, 814, 1044, 1031, 2094, 3504, 2053, 585, 7067, 543, 14319, 267, 2066, 12977, 269, 898, 729, 1031, 676, 16380, 267, 21072, 267, 5549, 553, 267, 543, 14564, 10838, 1082, 1866, 269, 1717, 267, 922, 18642, 6165, 729, 11658, 543, 5631, 2582, 3483, 269, 898, 568, 1152, 1631, 602, 649, 616, 4358, 547, 5660, 875, 6225, 11330, 12994, 568, 269, 898, 568, 1031, 538, 519, 5478, 540, 1212, 4461, 267, 30143, 267, 2603, 687, 267, 543, 21400, 10733, 269, 898, 949, 849, 2709, 10626, 607, 513, 5694, 19596, 2182, 10273, 543, 513, 5959, 13021, 656, 269, 898, 666, 581, 1031, 30375, 610, 1283, 1227, 563, 763, 1560, 3096, 2717, 2988, 1156, 11169, 547, 4339, 2068, 543, 5945, 269, 4469, 822, 517, 6950, 267, 602, 616, 2717, 2988, 1156, 11169, 616, 540, 1114, 2010, 269, 623, 3626, 576, 332, 1962, 514, 568, 1776, 32064, 1355, 1459, 269, 898, 814, 30624, 25193, 3601, 269, 11330, 12994, 666, 6861, 4551, 267, 13271, 267, 543, 15495, 950, 1031, 30375, 610, 1283, 1227, 269, 1635, 17527, 519, 2702, 547, 1106, 10125, 267, 11330, 12994, 11527, 8460, 13803, 5563, 543, 13271, 267, 799, 952, 15860, 666, 3262, 269, 9122, 593, 922, 25499, 7135, 267, 27392, 11330, 12994, 568, 2219, 547, 581, 4550, 1922, 25193, 267, 27179, 267, 27611, 267, 15084, 267, 1884, 1047, 10364, 267, 543, 4550, 13611, 269, 4706, 1164, 15934, 2534, 25242, 938, 4761, 1949, 543, 10607, 741, 8647, 269, 898, 849, 2337, 6146, 8290, 543, 4551, 543, 10597, 938, 2949, 8171, 563, 12901, 1047, 10364, 267, 4550, 13611, 267, 543, 21734, 2609, 540, 13520, 4412, 12994, 616, 6225, 585, 7067, 16398, 269, 1358, 1118, 11330, 12994, 3730, 585, 17236, 267, 5352, 2635, 1591, 2208, 267, 543, 8141, 513, 3432, 344, 6051, 269, 11330, 12994, 849, 3927, 6971, 2589, 689, 4411, 21399, 543, 19058, 15601, 21399, 269, 634, 4550, 13611, 3601, 540, 11330, 12994, 616, 1813, 547, 519, 32064, 6950, 1035, 659, 564, 514, 267, 844, 2075, 564, 514, 267, 543, 562, 2130, 523, 514, 267, 543, 723, 3254, 547, 2569, 21420, 2220, 32478, 543, 2087, 12263, 269, 634, 3498, 540, 13520, 4412, 12994, 786, 849, 2569, 1085, 18732, 563, 289, 2465, 4412, 12994, 849, 814, 25316, 549, 1729, 15605, 531, 2534, 269, 1160, 1729, 15605, 753, 616, 7103, 1634, 547, 2014, 3676, 971, 607, 932, 698, 553, 2068, 543, 13663, 269, 11330, 12994, 2337, 938, 1560, 4339, 971, 3676, 269, 5525, 2303, 602, 4469, 822, 517, 6950, 949, 849, 581, 8825, 1996, 519, 17219, 540, 18068, 543, 5982, 269, 1358, 949, 849, 2014, 2860, 1591, 2669, 267, 2061, 2860, 1591, 2208, 267, 3247, 29406, 2281, 689, 15202, 547, 1142, 824, 676, 17527, 11444, 267, 543, 2061, 2281, 689, 7432, 29406, 269, 9282, 519, 25710, 636, 7394, 3601, 540, 11330, 12994, 616, 1869, 538, 519, 2038, 5933, 540, 519, 7634, 563, 303, 24227, 949, 849, 2569, 8501, 543, 2087, 1973, 267, 6797, 267, 543, 8459, 19842, 2566, 267, 7551, 7863, 519, 6797, 689, 5945, 267, 13802, 267, 543, 2068, 269, 898, 666, 4324, 13487, 8647, 676, 16715, 519, 2534, 540, 519, 11747, 1119, 4592, 710, 18038, 2643, 848, 267, 799, 3123, 1164, 1973, 2604, 563, 3528, 791, 5338, 1277, 8533, 5305, 4412, 12994, 666, 14867, 2589, 540, 14711, 28591, 4345, 269, 898, 949, 581, 2111, 547, 4324, 1004, 609, 8330, 8676, 543, 1683, 2949, 14711, 8323, 269, 898, 666, 849, 2539, 5580, 7929, 8778, 5563, 269, 27392, 11330, 12994, 849, 814, 4550, 26817, 12185, 3601, 269, 9282, 621, 1281, 711, 1860, 7378, 2157, 610, 2087, 7378, 4187, 267, 621, 10607, 1973, 4006, 1852, 538, 1004, 609, 3987, 563, 289, 2465, 4412, 12994, 666, 948, 1521, 2960, 4713, 971, 607, 3600, 928, 543, 654, 11301, 269, 898, 814, 849, 3254, 547, 2569, 21422, 543, 890, 9934, 538, 19002, 779, 3723, 269, 11330, 12994, 609, 865, 6139, 519, 2960, 543, 12115, 543, 16138, 880, 621, 269, 3509, 7135, 538, 13520, 4412, 12994, 20741, 2960, 5160, 269, 27392, 4412, 12994, 568, 1434, 585, 9667, 1072, 269, 898, 6971, 9667, 8778, 4713, 543, 666, 10826, 519, 8934, 527, 673, 3968, 540, 519, 24026, 269, 898, 666, 849, 3986, 5642, 5860, 267, 2087, 5642, 1072, 267, 543, 12115, 18655, 269, 1635, 11318, 4551, 543, 4227, 10733, 11926, 267, 621, 666, 32433, 5711, 1072, 607, 1134, 269, 1280, 1004, 609, 7202, 999, 267, 621, 814, 3254, 547, 2569, 5711, 4278, 2313, 267, 4824, 5023, 21385, 267, 543, 4389, 10733, 2068, 269, 27392, 4412, 12994, 849, 12042, 619, 4551, 602, 3123, 19659, 563, 289, 2465, 4412, 12994, 568, 606, 5863, 6219, 269, 2060, 3875, 8810, 2640, 267, 621, 568, 849, 1373, 6594, 585, 1082, 17053, 3283, 269, 898, 568, 2907, 1373, 8246, 538, 513, 2039, 540, 2472, 543, 14319, 855, 25601, 519, 1761, 585, 9118, 811, 3096, 269, 898, 568, 2139, 538, 29893, 267, 3138, 345, 10622, 267, 30211, 267, 522, 842, 906, 267, 543, 513, 2417, 2039, 540, 6098, 2472, 971, 607, 5023, 342, 10449, 543, 22521, 16392, 1212, 4461, 269, 5015, 267, 13520, 4412, 12994, 689, 1114, 2694, 540, 519, 1158, 814, 922, 1378, 3982, 2934, 543, 922, 1378, 3982, 2640, 269, 901, 568, 1317, 519, 14947, 543, 27386, 2609, 540, 1142, 3148, 8428, 269, 11330, 12994, 689, 1114, 4525, 5713, 13747, 1808, 5301, 269, 634, 2640, 547, 581, 556, 9464, 689, 4974, 543, 1210, 713, 9735, 2067, 4199, 616, 3970, 1652, 269, 0, 2414, 1054, 674, 8543, 16974, 9664, 1677, 7179, 454, 3412, 1137, 269, 12876, 625, 7801, 3817, 948, 707, 1126, 2681, 606, 22539, 543, 10347, 18912, 269, 8564, 689, 476, 30500, 3066, 7792, 13492, 540, 27977, 267, 2470, 267, 2831, 267, 23573, 543, 1082, 811, 563, 5445, 666, 2259, 519, 2007, 1429, 338, 552, 324, 267, 555, 269, 8080, 547, 938, 25436, 924, 585, 7317, 1299, 7792, 2228, 7801, 3817, 256, 2201, 3059, 610, 9102, 2923, 563, 13729, 2985, 19114, 547, 4642, 952, 596, 723, 8373, 17501, 519, 10959, 593, 835, 2985, 630, 12803, 563, 8624, 1681, 568, 519, 3501, 2534, 585, 5959, 4648, 3168, 547, 7938, 785, 1310, 513, 1279, 1554, 693, 519, 5604, 269, 3203, 2065, 5694, 18912, 7801, 2985, 269, 16974, 3817, 616, 1187, 585, 1453, 540, 782, 6502, 543, 616, 513, 1390, 3872, 1907, 602, 2337, 1453, 1020, 5386, 5179, 1983, 267, 5876, 543, 2681, 6284, 256, 1358, 666, 2259, 519, 2007, 1429, 338, 552, 324, 267, 555, 269, 0, 14946, 618, 540, 10386, 10873, 543, 2409, 585, 25935, 3617, 11347, 2326, 585, 538, 20117, 543, 538, 24155, 9382, 269, 3763, 2143, 4808, 585, 22124, 543, 29032, 585, 7893, 543, 9781, 8484, 2599, 5434, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4495, 2390, 513, 942, 267, 538, 513, 2244, 2484, 2476, 267, 972, 729, 513, 9589, 1747, 1572, 13891, 622, 8003, 269, 769, 13891, 622, 8003, 267, 3025, 1185, 519, 4960, 547, 2671, 741, 2093, 543, 8369, 593, 1271, 6927, 269, 2311, 519, 2295, 540, 519, 10806, 2893, 519, 4279, 8065, 267, 1141, 13222, 689, 1169, 7944, 540, 519, 2244, 1131, 5531, 547, 1865, 543, 1118, 3664, 602, 4299, 3025, 780, 4263, 519, 2212, 540, 519, 4279, 8065, 11542, 513, 8797, 543, 15197, 4137, 1634, 607, 519, 29150, 540, 519, 5600, 540, 12780, 269, 901, 29150, 1500, 2386, 602, 1169, 11347, 3893, 513, 2490, 547, 2911, 267, 1256, 950, 930, 6836, 547, 20441, 519, 6643, 269, 898, 7012, 1405, 2141, 2653, 267, 1317, 3006, 1004, 12038, 856, 540, 2490, 610, 14437, 1932, 1454, 267, 1818, 621, 2182, 585, 1866, 547, 581, 4862, 269, 1809, 519, 29150, 6785, 875, 1271, 621, 729, 585, 1142, 5639, 547, 581, 851, 540, 519, 4901, 267, 865, 1352, 5249, 24091, 547, 2226, 3666, 543, 10103, 538, 519, 4279, 8065, 780, 3080, 1554, 267, 513, 1007, 8798, 8452, 538, 13891, 622, 8003, 1107, 513, 9059, 19251, 7469, 821, 256, 1879, 4371, 267, 621, 28659, 519, 3593, 781, 5639, 1657, 782, 1866, 267, 1100, 2339, 1018, 269, 2368, 13222, 941, 4278, 2683, 543, 4718, 621, 607, 513, 1259, 547, 6368, 1205, 741, 9739, 4862, 1510, 954, 8306, 269, 1717, 267, 4166, 2614, 267, 14784, 1671, 4240, 269, 2060, 519, 948, 540, 519, 9059, 19251, 7469, 821, 267, 1082, 3323, 6158, 936, 835, 1776, 267, 546, 20621, 856, 1346, 945, 7948, 1405, 1569, 971, 513, 3926, 780, 8450, 532, 519, 5774, 655, 28016, 11200, 1354, 1200, 4064, 267, 519, 29150, 7691, 1945, 2877, 547, 1689, 269, 2701, 10356, 519, 13222, 1927, 267, 22348, 873, 602, 1247, 2348, 519, 2702, 547, 2769, 13951, 729, 2629, 267, 6947, 31635, 547, 1866, 543, 4758, 873, 2230, 547, 2671, 741, 4555, 729, 8449, 4105, 269, 3973, 267, 609, 513, 5951, 540, 1200, 1688, 267, 519, 29150, 9927, 519, 9059, 19251, 7469, 821, 883, 513, 1412, 332, 20723, 28416, 8339, 3767, 267, 8164, 2576, 4941, 547, 3717, 267, 789, 1223, 1135, 7019, 7662, 946, 540, 519, 8020, 267, 799, 1131, 1287, 3172, 1518, 1152, 741, 5639, 267, 3850, 3025, 3116, 547, 5873, 5693, 780, 4415, 891, 2242, 267, 4708, 8120, 2899, 811, 547, 519, 4279, 8065, 269, 1656, 1498, 711, 3025, 8815, 593, 1169, 1888, 5941, 267, 789, 4121, 602, 1620, 543, 14207, 3357, 689, 6217, 2789, 16752, 269, 2755, 519, 6397, 12625, 540, 519, 9059, 19251, 7469, 821, 4547, 4524, 267, 621, 6038, 6039, 607, 513, 12576, 540, 519, 2956, 540, 13784, 543, 9316, 538, 3375, 6194, 3157, 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, 18658, 1909, 1281, 519, 29150, 540, 519, 5600, 540, 12780, 1404, 538, 4180, 602, 782, 2818, 723, 513, 4960, 547, 3717, 1282, 9840, 888, 763, 29150, 540, 519, 5600, 540, 12780, 568, 3743, 585, 4180, 602, 782, 2818, 723, 513, 4960, 547, 3717, 1282, 9840, 676, 9301, 2818, 945, 6999, 547, 3717, 543, 4180, 602, 789, 723, 513, 4023, 4316, 547, 798, 865, 269, 634, 29150, 849, 16404, 806, 3652, 543, 5773, 12044, 7521, 267, 1519, 942, 7182, 585, 18531, 543, 7459, 267, 543, 814, 519, 6392, 547, 26544, 952, 513, 4759, 568, 1373, 29169, 610, 6382, 15286, 689, 6340, 269, 3958, 267, 519, 29150, 949, 8430, 9840, 543, 21138, 942, 585, 1114, 3584, 543, 2152, 547, 2327, 602, 513, 2647, 2039, 540, 5380, 616, 4862, 269, 15788, 267, 519, 29150, 4249, 513, 2565, 1909, 538, 4509, 1931, 543, 31717, 640, 1282, 9840, 267, 543, 538, 4180, 602, 782, 2818, 723, 513, 4023, 543, 3160, 4316, 547, 3565, 547, 519, 18659, 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, 275, 281, 700, 8632, 15154, 10658, 26072, 910, 1133, 24286, 27065, 543, 31514, 15465, 9577, 692, 7072, 692, 1103, 2221, 781, 3059, 2085, 267, 621, 781, 4241, 547, 7747, 875, 1585, 3029, 540, 2923, 4616, 30598, 543, 9148, 835, 1776, 269, 2755, 18297, 2533, 543, 3381, 3756, 2709, 15138, 2833, 267, 2835, 3136, 547, 25407, 9458, 2066, 5481, 269, 769, 1249, 267, 2687, 547, 513, 476, 1001, 277, 5619, 267, 1762, 4079, 1063, 519, 6502, 540, 476, 1240, 268, 3066, 20546, 539, 20650, 538, 2474, 540, 1433, 3988, 1222, 1369, 519, 18631, 1032, 269, 901, 3184, 12538, 883, 519, 1158, 540, 14694, 3206, 13410, 267, 799, 1459, 2189, 2591, 2966, 547, 12954, 3860, 1966, 6061, 543, 2565, 7744, 1983, 269, 1452, 2238, 4196, 607, 2502, 8925, 547, 2757, 2542, 2326, 1247, 5356, 2147, 5042, 5383, 269, 1635, 3695, 713, 1523, 267, 649, 2832, 547, 6536, 7279, 543, 16491, 1053, 609, 2645, 2556, 547, 10994, 1950, 2042, 998, 23349, 2409, 780, 4089, 476, 272, 281, 25043, 540, 700, 8632, 15154, 10658, 26072, 692, 272, 269, 272, 10417, 11137, 692, 299, 8632, 3206, 13410, 2099, 513, 9135, 540, 7214, 4161, 6353, 676, 22357, 3435, 8506, 5499, 4485, 2864, 982, 13461, 9003, 593, 9266, 17429, 794, 269, 3703, 2278, 11977, 632, 12844, 334, 5189, 519, 2165, 834, 331, 8632, 3206, 257, 538, 1010, 14262, 476, 3422, 278, 8313, 267, 634, 2422, 540, 700, 8632, 15154, 269, 4595, 1287, 267, 12439, 5001, 723, 17947, 971, 2909, 842, 29342, 619, 607, 16351, 543, 24099, 2200, 1813, 547, 741, 2702, 547, 3986, 5042, 8112, 543, 5876, 780, 272, 269, 273, 8466, 12745, 543, 12472, 692, 763, 8129, 540, 14694, 3206, 13410, 666, 581, 14360, 1394, 547, 4505, 3029, 540, 678, 26680, 543, 7954, 2042, 11342, 2429, 1686, 269, 1280, 3236, 267, 3504, 12977, 899, 5527, 267, 10255, 267, 543, 3624, 12286, 6310, 598, 1495, 337, 4548, 6322, 693, 8325, 2287, 2790, 1035, 8462, 269, 1717, 267, 2413, 1651, 7568, 725, 1419, 11168, 19511, 682, 2355, 3564, 6671, 7326, 267, 3976, 23243, 873, 689, 5929, 19433, 525, 610, 15821, 4834, 780, 272, 269, 274, 6206, 22020, 692, 288, 6093, 14694, 3206, 11015, 5161, 540, 1614, 1292, 2609, 1384, 320, 264, 589, 5618, 9183, 9306, 513, 9583, 31837, 25236, 762, 32252, 3512, 563, 321, 264, 17290, 1344, 22393, 522, 2466, 1154, 2629, 3877, 2877, 547, 3914, 606, 6654, 3932, 563, 322, 264, 1323, 27592, 585, 1151, 951, 547, 28433, 6427, 633, 21368, 10489, 2056, 5276, 7744, 780, 4089, 476, 273, 281, 11588, 540, 12056, 609, 700, 8632, 15154, 10658, 26072, 692, 273, 269, 272, 20865, 9046, 14572, 10341, 692, 3528, 29270, 28430, 3871, 15877, 2312, 24408, 4267, 267, 2043, 24917, 741, 4390, 547, 2697, 3270, 267, 5352, 19165, 267, 543, 6218, 1761, 4093, 269, 1306, 513, 1267, 267, 789, 1831, 740, 30794, 693, 26819, 532, 6946, 2152, 543, 13754, 1944, 3209, 2994, 3358, 547, 1808, 8658, 780, 273, 269, 273, 11559, 618, 540, 11300, 15154, 692, 19284, 6671, 1966, 9010, 2553, 16876, 547, 3964, 5773, 267, 14694, 3206, 13410, 5000, 856, 6361, 7308, 1532, 2135, 3206, 269, 1358, 562, 19276, 5171, 4724, 19424, 532, 4244, 5380, 543, 5807, 3312, 2093, 267, 7551, 29103, 1359, 741, 17916, 5876, 780, 273, 269, 274, 30205, 539, 15350, 4825, 1549, 692, 8777, 1645, 609, 15508, 14053, 4247, 8992, 5778, 27415, 640, 1107, 519, 2634, 781, 7415, 13916, 547, 1451, 543, 11677, 1007, 1344, 269, 8617, 4598, 547, 4101, 678, 26680, 10597, 3965, 1599, 267, 3850, 3755, 547, 11291, 5013, 543, 2621, 811, 7561, 780, 273, 269, 275, 5548, 26359, 744, 985, 564, 540, 15465, 13207, 710, 692, 19617, 2730, 2090, 5815, 602, 6024, 19548, 3635, 666, 27185, 821, 2085, 5829, 5042, 23979, 269, 22353, 267, 10283, 538, 14694, 3206, 13410, 8309, 547, 4509, 6099, 2790, 31399, 625, 1851, 9972, 5095, 780, 4089, 476, 274, 281, 23889, 700, 8632, 15154, 10658, 26072, 883, 7073, 16677, 698, 9609, 692, 274, 269, 272, 15858, 10241, 692, 14807, 2209, 5051, 6451, 14694, 3206, 13410, 883, 21195, 607, 3450, 11226, 8716, 3742, 1565, 543, 10319, 6278, 269, 1635, 30286, 1930, 25804, 2055, 20872, 2789, 4570, 6114, 267, 16929, 11349, 2565, 3206, 5759, 1898, 585, 1967, 538, 2221, 781, 10562, 1158, 780, 274, 269, 273, 23654, 9751, 9024, 328, 2510, 692, 19968, 3401, 5431, 519, 1871, 540, 5807, 5647, 543, 4199, 6888, 1369, 741, 3906, 269, 3509, 3549, 1631, 8415, 14694, 3206, 13410, 1282, 2319, 20671, 5751, 610, 3318, 1646, 11925, 547, 7794, 2792, 9055, 543, 3895, 3444, 1922, 23341, 5698, 780, 274, 269, 274, 2274, 15370, 11242, 692, 19741, 6101, 14292, 5468, 267, 13680, 13341, 609, 14694, 3206, 13410, 32736, 538, 2442, 2528, 269, 3245, 4604, 3756, 543, 5985, 8924, 547, 9101, 11623, 543, 31851, 17334, 267, 891, 4129, 687, 1683, 3255, 585, 2828, 543, 3885, 547, 6125, 936, 3838, 7214, 18697, 780, 6962, 692, 2026, 23576, 676, 922, 10770, 9029, 5103, 24567, 19180, 5079, 267, 2542, 3788, 513, 4105, 5057, 540, 2123, 2208, 543, 18497, 5872, 269, 3474, 4150, 1782, 713, 11972, 2259, 267, 14694, 3206, 13410, 13822, 513, 6422, 10137, 540, 7924, 5827, 540, 28043, 1252, 1049, 17337, 1247, 7677, 5109, 3407, 5042, 2640, 269, 3414, 4797, 3408, 543, 7071, 540, 971, 18129, 267, 2852, 1053, 1796, 26405, 547, 4228, 741, 7214, 20030, 543, 1118, 6209, 7418, 547, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24679, 779, 2922, 547, 2161, 602, 1034, 1004, 616, 6126, 609, 519, 1082, 1007, 2010, 540, 2923, 649, 723, 891, 2395, 269, 2859, 11932, 267, 2923, 630, 1721, 1312, 3872, 543, 9913, 5301, 264, 568, 811, 3015, 982, 2479, 269, 1284, 666, 6908, 1175, 827, 1022, 26725, 1397, 610, 7260, 1318, 693, 1753, 267, 6432, 547, 27143, 593, 938, 11436, 267, 543, 1404, 1022, 3014, 649, 1616, 1107, 593, 7193, 267, 3014, 23641, 267, 610, 1318, 593, 938, 11436, 269, 2060, 782, 891, 2923, 3681, 267, 596, 8910, 1589, 602, 2542, 568, 513, 642, 4314, 532, 2250, 830, 267, 855, 519, 1297, 540, 3988, 814, 2965, 2799, 1107, 543, 945, 779, 2542, 811, 1522, 9983, 596, 563, 295, 842, 2507, 527, 779, 711, 20650, 563, 288, 476, 1001, 277, 5619, 1336, 602, 827, 476, 3199, 260, 540, 17013, 1063, 519, 6502, 540, 476, 1240, 268, 3066, 1185, 1224, 693, 2547, 835, 1433, 538, 519, 3105, 476, 1321, 3275, 267, 3379, 547, 1152, 827, 476, 6858, 260, 540, 17013, 9907, 476, 4792, 543, 4587, 563, 3963, 7335, 25198, 454, 21886, 15758, 4587, 4079, 547, 1224, 811, 568, 1271, 267, 543, 585, 811, 982, 1175, 9913, 269, 7335, 2488, 513, 30162, 540, 2168, 267, 2790, 543, 3929, 2640, 563, 20091, 20405, 338, 15465, 13207, 710, 454, 288, 1353, 689, 519, 27538, 10713, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 299, 8632, 15154, 10658, 26072, 257, 607, 851, 540, 834, 294, 4456, 2464, 1299, 8028, 2316, 9654, 25765, 1315, 20603, 1299, 11020, 1855, 553, 619, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 998, 1148, 1686, 256, 1284, 786, 2263, 875, 1148, 814, 4957, 543, 2919, 936, 5215, 540, 1296, 543, 2066, 1082, 1114, 2694, 540, 519, 1158, 269, 3245, 3504, 12977, 547, 2413, 2053, 267, 1004, 723, 1044, 2870, 5863, 1568, 540, 1148, 602, 2995, 2984, 267, 2769, 4664, 267, 543, 2992, 741, 4529, 269, 1924, 1577, 781, 1205, 3323, 2439, 5978 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 4116, 666, 581, 3989, 267, 3274, 267, 607, 835, 945, 11414, 267, 4481, 538, 513, 1153, 269, 12287, 958, 267, 594, 1589, 513, 4116, 568, 1454, 811, 982, 602, 269, 12085, 5749, 1405, 2141, 2653, 950, 596, 616, 3395, 909, 267, 543, 519, 1004, 945, 5280, 803, 998, 513, 2603, 540, 519, 9620, 540, 1250, 6107, 941, 1250, 3610, 543, 7855, 269, 9861, 513, 4116, 267, 610, 12777, 4896, 945, 814, 1022, 4990, 540, 1852, 936, 513, 1895, 540, 6107, 267, 666, 581, 513, 3843, 543, 2352, 2816, 267, 855, 607, 606, 14971, 14357, 267, 594, 723, 1336, 2081, 1472, 891, 9465, 543, 594, 917, 602, 1018, 781, 4502, 519, 16101, 568, 2141, 4502, 519, 4339, 269, 1703, 616, 1082, 3268, 602, 1590, 581, 3144, 538, 1931, 547, 1450, 938, 6107, 547, 8011, 543, 2972, 2933, 1247, 3257, 865, 269, 3689, 543, 19466, 267, 835, 1590, 581, 2111, 547, 1832, 519, 1453, 711, 1152, 7038, 539, 855, 5461, 538, 8726, 621, 568, 602, 789, 2811, 3257, 269, 2755, 713, 949, 4268, 538, 2085, 2516, 267, 1453, 616, 3362, 7479, 12184, 267, 543, 952, 789, 1810, 1405, 1589, 621, 781, 834, 322, 944, 2437, 1287, 789, 616, 711, 2469, 547, 1616, 547, 581, 3238, 269, 5822, 267, 596, 1590, 581, 2111, 547, 1118, 519, 3214, 1745, 6899, 1472, 596, 269, 4495, 789, 1745, 6899, 609, 596, 267, 789, 786, 581, 811, 8348, 547, 1930, 909, 547, 596, 269, 901, 786, 5512, 873, 547, 1577, 596, 917, 950, 789, 2811, 10010, 267, 1018, 789, 2811, 10010, 609, 267, 2307, 2055, 267, 543, 1256, 20006, 513, 811, 3742, 1106, 540, 1565, 269, 5753, 991, 547, 917, 602, 789, 616, 25374, 827, 538, 1931, 585, 873, 547, 1450, 2933, 547, 1831, 16539, 538, 4376, 269, 8921, 267, 5329, 3318, 1143, 538, 2247, 267, 835, 1590, 581, 2111, 547, 723, 1187, 609, 741, 1053, 269, 2991, 782, 267, 789, 798, 1451, 689, 596, 269, 1358, 4585, 267, 543, 789, 6432, 267, 543, 789, 5299, 269, 1403, 513, 1895, 540, 1053, 1294, 741, 14357, 4743, 3765, 30514, 538, 513, 4928, 267, 789, 616, 2693, 2469, 547, 1745, 519, 1482, 1259, 267, 1317, 602, 781, 1175, 875, 789, 3494, 789, 616, 9277, 547, 1745, 269, 1358, 991, 547, 581, 2111, 547, 1294, 602, 519, 4116, 2115, 519, 1053, 1175, 607, 1454, 607, 519, 1053, 991, 741, 4116, 269, 9861, 513, 4116, 1797, 865, 1082, 1919, 269, 1855, 2851, 616, 3743, 585, 4543, 1053, 8275, 602, 789, 616, 811, 982, 1175, 1053, 282, 602, 789, 723, 4502, 267, 543, 602, 741, 2729, 267, 8369, 543, 9739, 2339, 269, 11334, 616, 5497, 547, 1683, 1053, 609, 2123, 1995, 543, 1483, 1158, 1806, 269, 11334, 1058, 581, 2576, 585, 1053, 547, 1476, 728, 538, 267, 543, 5000, 873, 547, 581, 741, 1655, 8747, 540, 2933, 269, 898, 568, 513, 4116, 781, 2816, 547, 1397, 741, 1053, 602, 741, 20304, 616, 4502, 1945, 267, 543, 602, 621, 568, 2629, 602, 789, 2322, 538, 519, 942, 543, 4674, 2556, 547, 3035, 741, 3853, 267, 1317, 789, 666, 798, 621, 268, 855, 711, 1510, 519, 5351, 540, 513, 4116, 269, 9282, 891, 9465, 949, 3100, 513, 3787, 14053, 267, 594, 4339, 998, 873, 585, 513, 1297, 540, 4128, 269, 594, 798, 621, 585, 2043, 602, 594, 723, 14754, 3384, 693, 513, 4389, 2557, 1317, 789, 1705, 711, 1995, 602, 4990, 540, 9525, 538, 519, 4928, 15660, 798, 621, 585, 782, 519, 2053, 602, 594, 729, 10010, 543, 594, 6999, 594, 1185, 2576, 972, 547, 948, 803, 269, 594, 798, 621, 585, 519, 513, 17321, 14182, 269, 594, 798, 621, 585, 1250, 2104, 607, 513, 4116, 269, 594, 798, 621, 585, 519, 3214, 563, 28082, 9406, 3767, 454, 2005, 781, 9277, 547, 581, 16168, 950, 2576, 3081, 834, 296, 6415, 513, 13264, 2852, 2875, 257, 855, 594, 1589, 621, 781, 29749, 269, 3371, 781, 1250, 10002, 641, 983, 6644, 563, 296, 4312, 1185, 513, 2816, 2094, 594, 729, 476, 1626, 269, 3733, 1101, 1554, 540, 960, 729, 519, 1101, 15964, 1310, 594, 3323, 1250, 8683, 558, 648, 1032, 540, 1164, 1153, 269, 898, 7012, 1405, 1932, 2352, 268, 594, 729, 12777, 1152, 2324, 593, 590, 4405, 17058, 543, 9530, 904, 269, 634, 10593, 941, 476, 275, 268, 278, 281, 1789, 270, 279, 10681, 593, 590, 4405, 17058, 543, 476, 1556, 268, 273, 281, 1789, 593, 9530, 904, 269, 594, 7012, 1405, 1818, 513, 5458, 2179, 540, 2724, 267, 855, 621, 6976, 585, 1250, 3154, 2724, 267, 543, 602, 729, 782, 594, 2877, 269, 1924, 519, 1101, 1032, 594, 1185, 1250, 2816, 267, 594, 729, 7836, 1022, 3063, 2724, 594, 1185, 593, 1426, 267, 7260, 17914, 267, 543, 9660, 563, 10190, 4641, 5734, 950, 594, 6785, 594, 2877, 547, 1376, 9494, 909, 585, 2852, 269, 594, 3323, 8380, 2724, 883, 1250, 9806, 2272, 267, 543, 5555, 594, 1185, 3710, 909, 2614, 2724, 547, 4444, 513, 1007, 2025, 1286, 269, 594, 917, 267, 621, 7012, 1405, 2852, 24875, 267, 855, 594, 2877, 621, 563, 7069, 1101, 1032, 2713, 538, 519, 18959, 338, 267, 594, 23125, 856, 513, 1062, 269, 594, 729, 8380, 1269, 5611, 1142, 3018, 538, 513, 9806, 23508, 267, 543, 1142, 3923, 594, 6785, 594, 1185, 547, 2628, 1269, 8182, 585, 1250, 1286, 8569, 269, 634, 1964, 540, 519, 2724, 594, 1500, 594, 2322, 538, 17158, 525, 585, 513, 1007, 1625, 572, 267, 9660, 267, 16314, 269, 594, 1185, 513, 1062, 2469, 267, 543, 594, 4769, 1405, 6108, 3063, 2724, 593, 24631, 1919, 8259, 594, 729, 14785, 8885, 269, 769, 2013, 596, 666, 1405, 798, 519, 2979, 267, 602, 781, 693, 2547, 1269, 7785, 538, 1250, 9806, 2272, 1142, 3923, 267, 543, 1034, 1004, 666, 1405, 4137, 856, 875, 547, 2322, 2476, 1269, 1911, 563, 3086, 267, 607, 513, 8683, 558, 648, 538, 2852, 267, 594, 4585, 1004, 8945, 548, 883, 1362, 609, 547, 30559, 1426, 267, 547, 30559, 6995, 267, 5347, 625, 267, 543, 17711, 689, 3154, 10473, 610, 519, 15945, 593, 13464, 269, 3973, 594, 5873, 1346, 1482, 1004, 29153, 827, 1373, 834, 320, 13264, 2852, 2875, 1701, 594, 6415, 20994, 267, 855, 596, 2811, 711, 513, 13264, 2852, 2875, 269, 1411, 2811, 513, 2852, 2875, 945, 17188, 585, 1919, 596, 1810, 1405, 991, 267, 609, 2724, 596, 723, 602, 596, 12582, 1405, 581, 7836, 269, 1411, 1810, 1405, 991, 547, 1205, 10060, 321, 15085, 476, 274, 2053, 513, 1554, 269, 1411, 1810, 1405, 723, 547, 979, 547, 8486, 7815, 3781, 693, 519, 2199, 3046, 269, 1411, 1810, 1405, 991, 547, 6108, 2724, 593, 1346, 1919, 267, 855, 596, 798, 269, 1656, 693, 519, 1439, 540, 519, 3923, 267, 596, 2811, 13264, 267, 543, 581, 21794, 707, 3237, 585, 2724, 563, 3383, 267, 538, 1250, 10002, 641, 983, 6644, 267, 596, 2811, 711, 513, 13264, 2852, 2875, 269, 1411, 2811, 513, 31945, 835, 269, 5269, 513, 6578, 267, 2285, 3054, 930, 7836, 2724, 267, 543, 6529, 547, 621, 269, 1411, 3513, 9684, 803, 2663, 563, 272, 269, 5620, 513, 8799, 29683, 7933, 525, 330, 454, 296, 5063, 1500, 713, 1689, 543, 594, 1745, 476, 1911, 260, 1732, 563, 273, 269, 667, 816, 1134, 454, 31094, 958, 267, 952, 594, 979, 547, 1362, 3168, 899, 513, 536, 636, 267, 594, 1745, 899, 513, 536, 636, 269, 667, 816, 585, 1967, 2336, 274, 269, 3619, 547, 5127, 693, 519, 1482, 942, 1169, 3781, 454, 21093, 2614, 1964, 666, 2731, 1764, 519, 1964, 540, 707, 1554, 269, 13667, 547, 1205, 476, 278, 268, 280, 4396, 3108, 540, 3207, 1142, 3781, 713, 19496, 547, 2057, 18417, 1373, 1423, 16408, 693, 2576, 563, 275, 269, 1548, 993, 594, 3257, 585, 713, 14232, 3018, 888, 1432, 616, 1250, 3853, 713, 3018, 286, 1548, 779, 2469, 593, 713, 3018, 286, 1548, 798, 594, 991, 547, 960, 593, 585, 713, 3018, 286, 1403, 596, 979, 883, 707, 3018, 9420, 267, 621, 2760, 2731, 1568, 269, 594, 4076, 2944, 713, 1354, 563, 276, 269, 5213, 1406, 6336, 707, 1362, 11382, 29422, 454, 1607, 835, 1957, 814, 12777, 782, 540, 519, 1813, 7389, 267, 1449, 7389, 267, 13220, 543, 6780, 10467, 593, 621, 269, 5269, 2386, 596, 2141, 917, 1141, 713, 1957, 568, 1317, 596, 786, 581, 3168, 693, 621, 7683, 267, 865, 1810, 1406, 6336, 621, 563, 277, 269, 9105, 2055, 454, 2252, 596, 2461, 538, 1362, 543, 596, 723, 1100, 2856, 1018, 519, 7548, 568, 6158, 827, 2307, 267, 610, 4757, 873, 256, 898, 779, 1434, 547, 2307, 2055, 1317, 1287, 707, 7548, 6487, 596, 1416, 827, 741, 1362, 865, 621, 779, 513, 3094, 2914, 514, 3510, 269, 1411, 2307, 2055, 7132, 519, 7548, 6487, 596, 1416, 11224, 1434, 3446, 538, 519, 1362, 563, 278, 269, 6875, 1434, 4967, 454, 296, 666, 1406, 2995, 596, 875, 1082, 2053, 936, 519, 2250, 19496, 594, 1131, 1413, 1394, 693, 1250, 4967, 543, 1018, 594, 5206, 4769, 1406, 1118, 2631, 269, 6258, 1018, 1826, 540, 15226, 596, 616, 547, 4137, 856, 875, 547, 1491, 519, 1655, 4967, 585, 3054, 269, 594, 2901, 2328, 3388, 856, 676, 1688, 799, 3217, 11014, 630, 18034, 950, 519, 7548, 13733, 998, 519, 11000, 264, 610, 594, 1820, 856, 519, 4967, 543, 1175, 2328, 593, 1346, 4574, 865, 594, 666, 2965, 6432, 547, 519, 11000, 563, 279, 269, 5192, 930, 6780, 2944, 538, 1063, 5049, 454, 1103, 1250, 8430, 267, 594, 723, 513, 2603, 540, 942, 10616, 538, 1063, 5049, 1175, 7996, 1472, 585, 1250, 1985, 1362, 547, 1376, 269, 6875, 5413, 540, 713, 476, 1789, 3764, 610, 476, 273, 16923, 7934, 543, 960, 593, 930, 6780, 269, 1411, 3580, 9684, 3054, 2663, 563, 280, 269, 5213, 1405, 20358, 3054, 454, 296, 4076, 1500, 513, 4341, 609, 8885, 547, 1152, 798, 6780, 454, 31388, 547, 11016, 269, 2334, 779, 1317, 952, 594, 960, 2706, 2182, 1282, 519, 3018, 593, 1250, 454, 1740, 1287, 594, 666, 723, 519, 32300, 1055, 607, 513, 2790, 2736, 269, 1703, 616, 513, 7008, 454, 1410, 8526, 547, 1250, 4341, 899, 952, 594, 723, 513, 476, 276, 22240, 1557, 1813, 11728, 1287, 9811, 267, 594, 3580, 454, 1740, 593, 621, 1282, 519, 15964, 610, 952, 594, 723, 4255, 4947, 909, 519, 1985, 3018, 1287, 594, 3580, 454, 1015, 269, 5213, 1405, 22876, 2858, 3729, 454, 2252, 596, 2461, 9319, 1945, 267, 1175, 1205, 621, 2944, 543, 454, 1478, 609, 269, 1403, 596, 723, 513, 2731, 2352, 454, 22967, 547, 2328, 543, 1287, 513, 19619, 540, 4443, 10467, 282, 1376, 609, 519, 2182, 454, 817, 9892, 1101, 547, 1205, 621, 2944, 269, 898, 3580, 1491, 519, 1034, 942, 543, 1287, 596, 3580, 1745, 454, 7758, 773, 1386, 950, 596, 2461, 2944, 609, 621, 563, 1556, 269, 5213, 1405, 2285, 909, 454, 763, 4090, 596, 2461, 4712, 547, 16718, 568, 2356, 519, 4090, 454, 2431, 1354, 519, 27803, 4523, 563, 9617, 1832, 2469, 269, 0, 13911, 476, 273, 12128, 454, 13911, 476, 273, 3987, 568, 513, 5312, 2068, 538, 799, 707, 1560, 568, 8572, 547, 2226, 513, 3339, 1973, 4006, 630, 6921, 26651, 264, 1377, 563, 268, 7392, 476, 273, 12128, 9978, 5013, 827, 1826, 476, 273, 3987, 1299, 1981, 2188, 547, 581, 3222, 540, 563, 268, 8330, 8676, 2859, 982, 476, 2420, 2929, 4892, 7985, 689, 10447, 269, 5192, 519, 5013, 563, 268, 20150, 25400, 13081, 5192, 519, 5013, 827, 20150, 25400, 13081, 630, 32359, 1916, 268, 19974, 8330, 8676, 19974, 10447, 5013, 267, 1519, 3123, 267, 2589, 1299, 8374, 563, 268, 23420, 2717, 6352, 30665, 5192, 519, 5013, 827, 6371, 14947, 30665, 563, 268, 5851, 2353, 25489, 12700, 827, 11255, 11959, 267, 1519, 2589, 1299, 1455, 23480, 563, 268, 6431, 11962, 8330, 8676, 12700, 827, 10770, 10447, 267, 1519, 519, 7355, 585, 5868, 563, 268, 26579, 12700, 827, 6379, 267, 1519, 2589, 596, 666, 2503, 547, 723, 563, 268, 681, 698, 15634, 30665, 681, 698, 15634, 14711, 5013, 281, 2589, 267, 875, 547, 2057, 621, 267, 9594, 3536, 563, 268, 17897, 531, 2353, 25489, 12700, 827, 12119, 11959, 267, 519, 1114, 2010, 543, 519, 2589, 563, 268, 7348, 2353, 5516, 20929, 16259, 585, 707, 1985, 3643, 609, 938, 3573, 5399, 540, 5516, 20929, 454, 10666, 3220, 269, 6276, 17833, 1084, 22138, 454, 7804, 269, 6276, 17833, 1084, 22138, 267, 11022, 568, 513, 16362, 5097, 4092, 538, 6778, 4591, 569, 267, 27359, 267, 609, 824, 13646, 538, 29828, 749, 267, 27359, 543, 22216, 787, 10830, 267, 27359, 630, 663, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1169, 3510, 568, 2189, 267, 835, 3364, 3788, 3586, 1107, 519, 2648, 602, 9428, 1369, 513, 1920, 7488, 540, 5920, 610, 6561, 780, 4089, 476, 273, 281, 661, 2784, 21899, 519, 6657, 540, 21919, 2967, 5984, 1299, 21919, 331, 926, 454, 2414, 1174, 1098, 24055, 10073, 1732, 267, 1577, 781, 1491, 513, 6251, 1413, 693, 519, 1650, 540, 519, 774, 541, 340, 1004, 538, 5375, 18310, 269, 1280, 5481, 267, 791, 1478, 1639, 774, 541, 340, 3885, 941, 7142, 883, 7963, 6125, 720, 1634, 607, 519, 21919, 2967, 5984, 1062, 269, 4256, 20766, 267, 930, 607, 1762, 607, 2947, 1296, 2025, 267, 2968, 9601, 540, 519, 21919, 331, 926, 2259, 267, 1373, 2366, 2476, 883, 25034, 3293, 1425, 3363, 538, 519, 5321, 540, 18310, 781, 16918, 269, 4014, 789, 5030, 896, 835, 8122, 267, 891, 6690, 1419, 5185, 10072, 267, 7130, 267, 543, 6057, 1317, 540, 741, 2539, 1514, 4567, 780, 4913, 267, 7064, 547, 3906, 899, 519, 27526, 11535, 2657, 7690, 630, 29369, 293, 1070, 1919, 3459, 547, 1689, 269, 18786, 538, 476, 1220, 277, 267, 12924, 293, 3576, 2962, 1996, 519, 21919, 331, 926, 2259, 676, 3246, 2069, 543, 25367, 2866, 547, 5449, 21919, 24882, 529, 269, 1635, 3450, 873, 1007, 1983, 267, 14223, 2553, 267, 543, 5718, 7907, 267, 891, 12703, 1762, 2021, 6591, 6015, 543, 4121, 547, 1796, 909, 585, 741, 2924, 269, 1306, 513, 1267, 267, 18310, 781, 23328, 6368, 27618, 519, 21919, 331, 926, 2259, 538, 476, 1001, 274, 267, 4259, 1863, 936, 476, 1691, 267, 1822, 6690, 543, 8380, 606, 1439, 547, 713, 16970, 2245, 780, 4089, 476, 274, 281, 5020, 2991, 661, 2006, 322, 11692, 454, 4415, 1100, 1753, 547, 2132, 547, 267, 1034, 540, 891, 15685, 21919, 24882, 529, 1185, 3908, 3681, 855, 1336, 24176, 538, 11836, 1927, 543, 8108, 519, 6154, 539, 21919, 331, 926, 4886, 17072, 630, 293, 298, 5263, 1040, 2060, 5583, 689, 12924, 293, 267, 519, 674, 298, 5263, 5249, 24091, 2509, 5355, 519, 2729, 540, 922, 2818, 269, 1358, 5059, 593, 2679, 3506, 267, 5356, 25689, 267, 5009, 1072, 4656, 267, 543, 2870, 2922, 5624, 585, 5717, 827, 3961, 267, 1582, 2914, 2180, 267, 543, 10343, 269, 1452, 3646, 5280, 8897, 519, 5912, 585, 519, 19497, 20665, 21919, 24882, 529, 543, 17362, 519, 1259, 585, 17321, 20304, 780, 6624, 540, 519, 26602, 760, 730, 21919, 24882, 529, 1631, 2661, 609, 3885, 3544, 540, 519, 774, 541, 340, 2146, 282, 3976, 267, 4742, 851, 540, 1098, 24055, 3885, 269, 6145, 1022, 824, 20762, 1920, 267, 2591, 8451, 1472, 10188, 3604, 538, 9821, 267, 1893, 7496, 267, 543, 6848, 11994, 269, 1717, 267, 2648, 543, 1620, 7173, 841, 607, 1312, 6105, 1451, 689, 1142, 824, 543, 9784, 741, 3309, 10080, 780, 4089, 476, 275, 281, 16497, 3231, 2740, 454, 3849, 2194, 532, 547, 513, 1007, 1604, 543, 13326, 2789, 4529, 3884, 1405, 2141, 2653, 267, 2523, 1282, 18273, 950, 2055, 827, 10362, 543, 23141, 2097, 547, 1769, 269, 6736, 1761, 23665, 267, 1098, 24055, 3792, 21164, 1265, 2081, 547, 8190, 741, 5072, 543, 8956, 741, 2250, 1247, 8508, 741, 1699, 10450, 269, 12267, 899, 1346, 540, 519, 774, 541, 340, 21919, 24882, 529, 7618, 721, 540, 519, 2956, 540, 8296, 267, 9322, 267, 543, 7555, 909, 585, 5126, 269, 3414, 741, 10100, 543, 6891, 267, 649, 666, 5660, 519, 5898, 538, 4763, 543, 8661, 519, 1379, 540, 1480, 4296, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 11812, 540, 1948, 294, 1516, 307, 11698, 267, 782, 12924, 293, 23190, 1500, 1063, 5437, 476, 2764, 267, 476, 1708, 274, 543, 5412, 476, 276, 267, 476, 1708, 274, 616, 14718, 585, 513, 13362, 16519, 1673, 20683, 6474, 1765, 1575, 547, 1269, 736, 267, 1822, 563, 23895, 14896, 908, 476, 1015, 1296, 540, 519, 1439, 540, 21919, 331, 926, 2336, 4002, 4873, 476, 2767, 267, 476, 1001, 274, 267, 18310, 779, 23328, 13166, 27618, 519, 737, 600, 331, 926, 2259, 281, 513, 1062, 538, 799, 2818, 540, 519, 774, 541, 340, 6803, 12102, 538, 5375, 18310, 4421, 741, 20766, 630, 16341, 607, 1762, 607, 2947, 1296, 2025, 264, 883, 25034, 3293, 1425, 3363, 538, 519, 5321, 540, 18310, 779, 16918, 269, 634, 2259, 267, 3710, 593, 513, 5748, 540, 2392, 2218, 23831, 267, 6803, 15746, 267, 543, 1252, 1049, 7963, 267, 3775, 5523, 9937, 540, 5215, 540, 1762, 2021, 540, 3872, 3255, 267, 2686, 4276, 267, 543, 741, 6689, 563, 29369, 293, 6707, 16701, 5344, 519, 2259, 538, 18310, 269, 1284, 23518, 1762, 774, 541, 340, 2021, 547, 12167, 585, 2933, 267, 2087, 519, 2729, 540, 741, 3885, 267, 543, 1489, 513, 1732, 2104, 585, 741, 2950, 563, 2171, 11943, 519, 1982, 538, 476, 1708, 271, 267, 855, 938, 11450, 609, 519, 6154, 539, 21919, 331, 926, 4886, 17072, 630, 320, 2199, 18758, 267, 3366, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 7731, 1315, 22685, 5406, 1315, 3690, 24055, 22685, 5406, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 2370, 8004, 3957, 15039, 945, 6068, 547, 2951, 269, 2701, 1185, 513, 5042, 9659, 267, 799, 3006, 1500, 1007, 2833, 513, 3787, 4101, 585, 1200, 269, 1809, 15039, 2760, 1577, 602, 3247, 1200, 256, 2060, 519, 948, 540, 1200, 5172, 28077, 3662, 267, 26449, 267, 1352, 1305, 856, 593, 3078, 9035, 782, 936, 519, 1158, 780, 3080, 1554, 267, 15039, 543, 26449, 941, 8600, 585, 513, 7552, 593, 1977, 5794, 6050, 269, 1358, 6785, 602, 27858, 1223, 581, 11566, 267, 865, 789, 4956, 547, 7662, 930, 3063, 6351, 950, 1433, 532, 741, 19426, 269, 1677, 741, 10508, 267, 1977, 5794, 6050, 6035, 1082, 5363, 22581, 585, 1004, 899, 15039, 2439, 5575, 267, 789, 4607, 840, 28967, 8973, 6351, 267, 3850, 873, 547, 4283, 519, 7077, 2038, 543, 1491, 741, 942, 3478, 12306, 538, 741, 838, 20160, 13557, 3650, 16295, 269, 8921, 267, 519, 7874, 8184, 7390, 656, 5280, 2539, 519, 1940, 762, 6186, 6135, 865, 15039, 1223, 3362, 4483, 883, 1200, 10160, 269, 1306, 519, 7077, 4904, 909, 609, 8284, 15915, 267, 15039, 5433, 18507, 585, 2348, 10862, 27756, 1317, 621, 5921, 1447, 7996, 538, 1899, 543, 4389, 4160, 780, 7628, 519, 8184, 267, 26449, 4280, 8049, 569, 267, 834, 1432, 2306, 891, 14742, 8038, 865, 1164, 267, 15039, 8119, 15039, 6045, 267, 834, 21080, 680, 6951, 946, 1945, 1572, 1412, 27826, 9817, 10086, 799, 29186, 538, 6266, 540, 2011, 267, 14771, 621, 267, 3575, 621, 609, 4492, 267, 543, 5337, 924, 621, 267, 2870, 19876, 3010, 2026, 519, 3460, 4797, 267, 519, 12681, 9307, 31285, 6619, 269, 2755, 1034, 15915, 4769, 1405, 5469, 1454, 267, 15039, 3459, 4743, 11552, 6470, 1813, 547, 1200, 8417, 547, 5163, 2242, 269, 3807, 1287, 267, 1776, 6397, 2680, 7018, 1107, 835, 2599, 8959, 544, 1749, 2448, 2638, 256, 4014, 1376, 1194, 267, 15039, 3576, 2620, 24967, 1247, 6947, 32348, 547, 14773, 906, 269, 22947, 7390, 1218, 15260, 3293, 3025, 602, 19307, 1949, 1131, 1832, 873, 2922, 1282, 519, 4129, 542, 547, 513, 7404, 19633, 780, 15987, 25922, 676, 519, 1689, 540, 4566, 267, 15039, 4121, 3407, 4245, 602, 1554, 269, 6884, 1919, 1810, 1405, 979, 4010, 607, 649, 4126, 267, 1256, 1310, 6297, 7041, 269, 1717, 267, 1620, 875, 6191, 960, 267, 899, 15191, 9817, 267, 2337, 721, 5660, 741, 14952, 748, 7207, 269, 5047, 267, 6616, 602, 12391, 4648, 1796, 4712, 547, 1489, 721, 6770, 4313, 8015, 27644, 6381, 269, 1656, 3976, 267, 15039, 781, 7045, 6026, 1200, 6043, 543, 7279, 267, 22338, 519, 1259, 585, 2104, 29293, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 22081, 1281, 1977, 5794, 6050, 1683, 6351, 585, 15915, 609, 5042, 9124, 888, 13563, 5794, 6050, 2488, 1585, 3029, 540, 6351, 585, 15915, 609, 5042, 9124, 269, 3371, 616, 930, 540, 519, 2081, 789, 4217, 1384, 272, 269, 2776, 28967, 8973, 26859, 281, 10426, 12310, 609, 5042, 9124, 666, 840, 1532, 13635, 519, 8184, 547, 1205, 6899, 267, 7017, 1524, 538, 741, 16295, 543, 6582, 1022, 3937, 543, 10591, 789, 949, 991, 780, 273, 269, 1530, 520, 25849, 906, 281, 1977, 5794, 6050, 3091, 2027, 27939, 12417, 585, 15915, 609, 5042, 9124, 267, 971, 607, 13557, 3650, 27939, 585, 811, 2230, 267, 16295, 609, 1847, 762, 6186, 6135, 338, 267, 543, 16295, 2282, 519, 4395, 540, 519, 8484, 602, 1118, 1569, 543, 14827, 4443, 780, 274, 269, 13405, 640, 8274, 532, 281, 10426, 12310, 609, 5042, 9124, 666, 4604, 519, 7077, 1354, 824, 15915, 547, 2569, 4160, 543, 2057, 22125, 3515, 780, 275, 269, 769, 6363, 2775, 26859, 281, 1977, 5794, 6050, 8184, 7390, 1218, 616, 8036, 547, 1683, 948, 543, 6351, 547, 15915, 609, 5042, 9124, 269, 8409, 2533, 13141, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6957, 320, 15030, 720, 263, 16020, 3418, 1038, 1582, 27863, 263, 24978, 267, 834, 14744, 1363, 1477, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1770, 11687, 6230, 664, 14052, 24541, 258, 4147, 585, 4152, 519, 2990, 1505, 1477, 5035, 1449, 318, 6570, 263, 684, 8636, 652, 11053, 652, 19111, 8029, 825, 1948, 4530, 950, 519, 3403, 568, 834, 294, 298, 29177, 825, 1219, 1449, 318, 24978, 272, 4311, 8029, 1038, 3210, 815, 6957, 320, 269, 6570, 2891, 294, 298, 14744, 1038, 1582, 27863, 263, 24978, 267, 834, 294, 298, 14744, 825, 1948, 4530, 950, 519, 3403, 568, 538, 667, 9128, 1477, 825, 1219, 1449, 318, 24978, 273, 4311, 8029, 1038, 3210, 815, 6957, 320, 269, 6570, 2891, 299, 289, 14744, 1038, 1582, 27863, 263, 24978, 267, 834, 291, 9128, 14744, 825, 1948, 4530, 950, 519, 3403, 568, 538, 30838, 1477, 825, 1219, 1449, 318, 24978, 274, 4311, 8029, 1038, 3210, 815, 6957, 320, 269, 6570, 2891, 299, 300, 14744, 1038, 1582, 27863, 263, 24978, 267, 834, 300, 2839, 14744, 825, 1948, 4530, 950, 519, 3403, 568, 538, 674, 310, 291, 1477, 825, 1219, 1449, 318, 24978, 275, 4311, 8029, 1038, 3210, 815, 6957, 320, 269, 6570, 2891, 20003, 14744, 1038, 1582, 27863, 263, 24978, 267, 834, 293, 310, 291, 14744, 1038, 1477, 258, 4530, 1982, 1477, 3698, 1449, 28399, 825, 1948, 4530, 519, 13230, 1505, 1477, 825, 13230, 14818, 815, 1449, 16062, 720, 14052, 825, 952, 13230, 14818, 6745, 652, 318, 24978, 272, 3890, 2652, 13230, 14818, 6745, 652, 318, 24978, 273, 3890, 1422, 1477, 11434, 2652, 13230, 14818, 6745, 652, 318, 24978, 274, 3890, 2652, 13230, 14818, 6745, 652, 318, 24978, 275, 3890, 2652, 7183, 6769, 1038, 1820, 2891, 763, 13230, 1505, 5293, 519, 1449, 14744, 825, 3116, 6769, 1038, 1820, 2891, 763, 13230, 1505, 1705, 711, 1780, 519, 1449, 14744, 24541, 825, 1948, 4530, 519, 2990, 1505, 1477, 825, 2990, 14818, 815, 1449, 318, 6570, 14052, 825, 952, 2990, 14818, 6745, 652, 318, 24978, 272, 3890, 2652, 2990, 14818, 6745, 652, 318, 24978, 273, 3890, 1422, 1477, 11434, 2652, 2990, 14818, 6745, 652, 318, 24978, 274, 3890, 2652, 2990, 14818, 6745, 652, 318, 24978, 275, 3890, 2652, 7183, 6769, 1038, 1820, 2891, 763, 2990, 1505, 5293, 519, 1449, 14744, 825, 3116, 6769, 1038, 1820, 2891, 763, 2990, 1505, 1705, 711, 1780, 519, 1449, 14744, 21506, 258, 14840, 519, 4255, 1038, 1477, 11687, 14052, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1770, 11687, 6230, 664, 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 ]
[ 815, 476, 274, 1384, 325, 630, 274, 264, 815, 476, 273, 865, 851, 476, 272, 1568, 780, 267, 865, 851, 476, 273, 1568, 780, 3719, 476, 273, 3085, 1405, 815, 476, 277, 267, 865, 851, 476, 274, 3085, 1405, 960, 563, 763, 586, 17032, 693, 834, 320, 257, 1590, 3160, 519, 3970, 1871, 693, 834, 320, 6231, 2252, 649, 1305, 535, 630, 274, 264, 815, 476, 277, 267, 1287, 713, 1599, 568, 6024, 693, 1535, 815, 476, 274, 780, 780, 12218, 545, 11929, 7726, 1384, 11693, 2073, 1265, 513, 1871, 585, 524, 602, 2306, 535, 630, 343, 264, 6024, 693, 1535, 815, 476, 273, 780, 5575, 267, 649, 3513, 1265, 535, 630, 273, 1070, 1287, 649, 3513, 1265, 519, 3970, 607, 1535, 4485, 476, 273, 267, 543, 1287, 649, 3513, 1305, 873, 3160, 547, 14183, 519, 6898, 540, 519, 1449, 585, 15364, 780, 325, 630, 273, 264, 815, 476, 275, 322, 1107, 476, 274, 692, 852, 4194, 2451, 3970, 815, 1318, 3970, 1384, 275, 322, 1107, 476, 274, 815, 476, 273, 322, 1341, 476, 273, 3947, 721, 524, 815, 476, 276, 270, 273, 610, 476, 273, 269, 276, 780, 1607, 2306, 535, 630, 273, 264, 815, 476, 278, 543, 3970, 607, 1535, 4485, 476, 273, 815, 476, 278, 780, 1103, 2147, 2055, 609, 476, 273, 26968, 985, 4534, 2161, 524, 543, 546, 267, 649, 1205, 2614, 1344, 547, 1265, 513, 1062, 540, 476, 273, 4834, 538, 1931, 547, 4194, 585, 519, 476, 273, 26968, 985, 269, 769, 971, 2665, 267, 972, 786, 849, 581, 476, 273, 1114, 2418, 547, 3970, 2509, 269, 6423, 2259, 2243, 476, 273, 321, 780, 15364, 25644, 1449, 585, 15364, 1806, 2259, 3435, 692, 780, 272, 264, 9181, 519, 15364, 540, 891, 3252, 1384, 513, 264, 536, 264, 524, 2020, 780, 273, 264, 14419, 799, 2418, 540, 524, 543, 5924, 546, 1118, 535, 630, 343, 264, 6024, 593, 782, 7464, 2338, 780, 320, 264, 9717, 692, 321, 264, 9717, 692, 15364, 25644, 1449, 585, 15364, 1806, 2259, 3435, 692, 780, 272, 264, 9181, 519, 15364, 540, 891, 3252, 1384, 513, 264, 535, 630, 343, 264, 6024, 593, 536, 264, 575, 3287, 264, 6024, 593, 630, 3200, 673, 29297, 4925, 264, 524, 264, 2073, 1934, 649, 723, 476, 274, 3871, 547, 1865, 269, 272, 270, 634, 6389, 540, 476, 273, 270, 634, 6389, 540, 476, 274, 270, 634, 19231, 593, 630, 343, 1107, 476, 275, 264, 538, 519, 14009, 568, 554, 630, 343, 264, 6024, 593, 1496, 1107, 476, 276, 267, 1107, 476, 274, 316, 1496, 274, 267, 476, 275, 264, 630, 275, 267, 476, 276, 316, 8884, 10035, 1384, 780, 273, 264, 14419, 799, 2418, 540, 524, 543, 5924, 546, 1118, 535, 630, 343, 264, 6024, 593, 782, 7464, 2338, 780, 320, 264, 9717, 692, 5575, 267, 649, 3513, 1265, 535, 263, 272, 1070, 1287, 649, 3513, 1265, 519, 3970, 607, 1535, 4485, 476, 272, 267, 543, 1287, 649, 3513, 1305, 873, 3160, 547, 14183, 519, 6898, 540, 519, 1449, 585, 15364, 780, 325, 630, 272, 264, 815, 476, 274, 322, 1107, 476, 273, 692, 852, 4194, 2451, 3970, 815, 1318, 3970, 1384, 322, 476, 273, 815, 476, 274, 322, 1107, 476, 273, 3587, 524, 476, 273, 1107, 476, 274, 322, 1341, 476, 273, 815, 476, 271, 780, 6262, 1107, 476, 273, 7565, 322, 1107, 476, 272, 264, 815, 476, 271, 692, 13295, 267, 524, 666, 581, 2901, 476, 273, 610, 476, 272, 692, 2252, 524, 815, 476, 273, 267, 535, 630, 272, 264, 815, 476, 275, 543, 3970, 607, 1535, 4485, 476, 272, 815, 476, 275, 780, 2252, 524, 815, 476, 272, 267, 535, 630, 272, 264, 815, 476, 272, 543, 3970, 607, 1535, 4485, 476, 272, 815, 476, 272, 780, 780, 321, 264, 9717, 692, 2080, 972, 616, 476, 273, 2798, 540, 1543, 542, 269, 634, 1599, 2242, 4341, 693, 1535, 815, 1107, 476, 272, 543, 1535, 815, 476, 273, 780, 2171, 3513, 1305, 909, 476, 273, 4834, 538, 476, 273, 26968, 985, 630, 4067, 569, 524, 543, 546, 1070, 1287, 4194, 585, 519, 1455, 3070, 780, 520, 1535, 815, 1107, 476, 272, 1384, 535, 630, 1107, 476, 272, 264, 815, 1107, 476, 275, 692, 810, 630, 1107, 524, 1341, 546, 815, 1107, 476, 275, 3738, 630, 18091, 272, 281, 476, 272, 560, 3830, 538, 524, 543, 546, 2020, 780, 520, 1535, 815, 476, 273, 1384, 535, 630, 273, 264, 815, 1107, 476, 1015, 692, 810, 476, 273, 322, 1341, 546, 815, 1107, 476, 1015, 630, 18091, 273, 281, 476, 273, 526, 3830, 538, 524, 543, 546, 2020, 3086, 267, 649, 4194, 519, 1062, 1384, 8138, 339, 847, 552, 336, 272, 689, 552, 336, 273, 547, 1205, 476, 274, 322, 815, 1107, 476, 277, 267, 865, 524, 815, 1107, 476, 273, 267, 1287, 12990, 585, 546, 815, 1107, 476, 277, 780, 3086, 10484, 535, 630, 1107, 476, 272, 264, 815, 1107, 476, 275, 543, 535, 630, 273, 264, 815, 1107, 476, 1015, 543, 692, 3383, 535, 630, 343, 264, 568, 6024, 593, 782, 1234, 1023, 950, 524, 815, 1107, 476, 273, 543, 546, 815, 1107, 476, 277, 780, 780, 15364, 25644, 1449, 585, 15364, 1806, 2259, 3435, 692, 263, 718, 1543, 9736, 4569, 305, 7112, 4804, 6796, 282, 476, 1220, 275, 910, 15426, 0, 288, 1079, 1107, 7857, 1003, 692, 4131, 519, 9704, 693, 4559, 543, 9937, 1747, 581, 1535, 543, 586, 6606, 692, 15383, 815, 476, 1691, 692, 1700, 1107, 1107, 1107, 630, 272, 2020, 6097, 547, 519, 2243, 692, 263, 1015, 344, 1341, 1535, 264, 1341, 476, 3393, 815, 476, 1015, 343, 1341, 586, 692, 280, 344, 1107, 476, 280, 343, 815, 1107, 476, 3393, 692, 344, 1107, 1535, 815, 1107, 476, 276, 1107, 1107, 1107, 1107, 1107, 630, 273, 2020, 5804, 630, 272, 264, 543, 630, 273, 264, 649, 1205, 692, 1691, 1107, 1535, 273, 815, 1107, 476, 276, 343, 692, 343, 273, 1107, 476, 276, 343, 1107, 476, 1691, 815, 476, 271, 692, 8794, 519, 24590, 1647, 2165, 1107, 519, 1647, 2165, 540, 519, 2489, 3830, 568, 5258, 538, 1079, 971, 2418, 602, 1384, 29410, 815, 513, 6983, 692, 2690, 519, 2016, 3830, 513, 815, 476, 272, 536, 815, 1107, 476, 276, 524, 815, 1107, 476, 1691, 692, 284, 476, 272, 269, 1107, 476, 1691, 815, 1107, 476, 1691, 692, 4517, 2901, 540, 741, 2040, 610, 3017, 815, 536, 692, 284, 1107, 476, 276, 692, 13295, 519, 1079, 2474, 616, 1107, 476, 278, 543, 476, 273, 692, 11795, 2397, 815, 1107, 476, 278, 1341, 476, 273, 815, 1107, 476, 276, 692, 29410, 815, 1107, 476, 278, 269, 273, 815, 1107, 476, 1691, 692, 343, 273, 1107, 476, 276, 343, 1107, 476, 1691, 815, 476, 271, 692, 343, 273, 1107, 476, 278, 343, 1341, 476, 273, 343, 1107, 476, 1691, 815, 476, 271, 692, 343, 3287, 1107, 476, 278, 264, 1341, 476, 273, 3287, 1107, 476, 278, 264, 815, 476, 271, 692, 3287, 1341, 476, 273, 7565, 343, 1107, 476, 278, 264, 815, 476, 271, 692, 343, 815, 476, 278, 610, 1535, 815, 1107, 476, 273, 692, 343, 815, 476, 278, 630, 10864, 22162, 519, 2942, 851, 2020, 21607, 1154, 1535, 815, 476, 278, 538, 3830, 630, 272, 264, 649, 1205, 692, 344, 815, 476, 273, 692, 26473, 1600, 1297, 815, 476, 1015, 269, 273, 1341, 476, 278, 815, 476, 2767, 692, 31948, 713, 2243, 23241, 1692, 3730, 568, 713, 3070, 888, 2171, 11441, 547, 1683, 2298, 3435, 269, 7490, 2557, 721, 547, 4196, 596, 1732, 563, 2521, 938, 22387, 6092, 22913, 12830, 11762, 538, 476, 278, 17963, 9596, 689, 594, 3951, 2103, 267, 715, 3951, 2103, 267, 24930, 1299, 14288, 20226, 454, 291, 539, 5344, 5646, 8688, 528, 585, 1142, 2875, 454, 2190, 311, 278, 8935, 23336, 22375, 454, 291, 2905, 7797, 9315, 454, 19547, 9229, 13437, 16214, 454, 1613, 782, 6030, 0, 8518, 719, 476, 1724, 268, 275, 692, 258, 30453, 476, 1724, 268, 275, 910, 4569, 476, 1220, 267, 11354, 476, 1001, 271, 7435, 719, 476, 279, 8791, 476, 1724, 268, 275, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 274, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 13043, 476, 1220, 267, 11354, 476, 1001, 271, 7435, 719, 476, 279, 8791, 476, 1724, 268, 275, 4354, 341, 1155, 9502, 281, 4354, 341, 1155, 634, 22441, 540, 595, 693, 513, 2016, 1448, 568, 513, 2268, 540, 875, 3533, 519, 7455, 2242, 4287, 693, 602, 1448, 269, 13018, 267, 22441, 568, 519, 9588, 540, 519, 2557, 540, 1689, 540, 519, 1770, 17242, 6152, 609, 2463, 547, 9095, 3259, 269, 2913, 630, 3738, 521, 678, 581, 606, 9095, 3259, 4164, 564, 10961, 566, 543, 630, 3738, 512, 570, 519, 1770, 17242, 6152, 269, 3973, 267, 519, 22441, 540, 7455, 630, 3738, 521, 678, 568, 630, 3738, 546, 521, 546, 338, 3852, 374, 815, 570, 5890, 5962, 538, 2474, 540, 9936, 512, 630, 13318, 1737, 540, 9095, 3259, 9936, 521, 16532, 519, 22441, 568, 630, 3738, 630, 3738, 630, 3738, 512, 546, 546, 24303, 512, 546, 338, 546, 521, 24303, 512, 815, 815, 815, 570, 570, 570, 678, 4354, 341, 1155, 568, 1804, 1141, 519, 1770, 17242, 2242, 4287, 6385, 476, 272, 269, 30770, 519, 22441, 540, 513, 5858, 540, 8953, 681, 269, 14497, 281, 16754, 585, 4354, 341, 1155, 1403, 630, 3738, 512, 678, 568, 606, 2834, 4164, 564, 10961, 566, 267, 1287, 519, 22441, 693, 630, 3738, 512, 678, 568, 630, 3738, 630, 3738, 630, 3738, 630, 3738, 476, 274, 512, 512, 512, 512, 722, 366, 12664, 6398, 815, 678, 678, 678, 1547, 476, 273, 269, 12433, 519, 22441, 630, 3738, 512, 540, 519, 27390, 12945, 630, 3738, 476, 273, 476, 274, 2073, 2073, 512, 512, 512, 512, 815, 678, 16317, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 13528, 3121, 585, 4354, 341, 1155, 540, 513, 1773, 2033, 4354, 557, 634, 22441, 693, 519, 1448, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 1012, 901, 4063, 729, 23345, 593, 476, 6349, 270, 2190, 270, 1001, 272, 585, 519, 1576, 13878, 295, 476, 1220, 6026, 676, 7905, 6276, 26501, 2086, 10428, 1282, 519, 11354, 1412, 1015, 2165, 693, 13244, 22526, 4975, 780, 2162, 8525, 272, 1315, 476, 274, 692, 8518, 719, 476, 1724, 268, 275, 910, 4569, 476, 1220, 267, 11354, 476, 1001, 271, 7435, 719, 476, 279, 8791, 476, 1724, 268, 275, 13718, 1607, 12744, 2982, 3561, 3817, 476, 272, 910, 476, 274, 269, 6178, 909, 547, 2070, 519, 2407, 3561, 780, 8698, 9509, 11657, 454, 16485, 513, 6780, 2243, 910, 21493, 616, 2228 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4523, 950, 2591, 616, 4547, 1759, 593, 519, 2123, 3961, 540, 519, 2278, 610, 519, 1641, 2339, 540, 513, 1433, 269, 11806, 266, 1543, 568, 519, 1034, 7928, 3077, 540, 3961, 24890, 267, 1519, 476, 279, 540, 519, 476, 1015, 1034, 13934, 2835, 540, 476, 1001, 280, 269, 595, 13993, 5263, 568, 593, 519, 2013, 609, 513, 6216, 1007, 32367, 267, 543, 811, 982, 476, 736, 2200, 602, 596, 666, 946, 547, 6494, 18594, 832, 513, 3532, 5048, 281, 602, 596, 666, 1406, 7333, 1004, 585, 1373, 945, 789, 616, 2336, 8923, 2671, 938, 2200, 609, 707, 2146, 547, 948, 4339, 3961, 24890, 269, 2422, 519, 814, 6255, 698, 1948, 291, 2632, 289, 534, 9288, 543, 3262, 519, 2262, 602, 1169, 5639, 1058, 581, 4862, 1100, 2339, 875, 519, 10584, 14439, 563, 18794, 595, 13993, 5263, 693, 519, 4395, 3515, 540, 519, 4339, 1996, 3961, 24890, 2221, 256, 1879, 596, 6443, 1282, 2817, 7732, 10432, 267, 596, 3580, 4309, 513, 22429, 1305, 540, 595, 13993, 5263, 15749, 20382, 269, 1879, 19142, 909, 607, 513, 4759, 267, 1175, 1039, 519, 16181, 547, 707, 1931, 543, 946, 519, 3009, 968, 289, 7473, 307, 2177, 1015, 892, 547, 1205, 707, 20382, 269, 23203, 707, 15749, 543, 968, 10673, 1406, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9558, 14054, 6282, 832, 543, 4256, 4518, 257, 607, 851, 540, 834, 26376, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 11806, 266, 1315, 3690, 14054, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 22165, 515, 538, 16593, 281, 15214, 8663, 545, 27488, 10657, 543, 4706, 15783, 8177, 593, 769, 11987, 14332, 601, 8376, 692, 6637, 476, 276, 1384, 5331, 14084, 1524, 538, 513, 2027, 12068, 4904, 609, 6986, 5135, 256, 898, 1522, 3280, 899, 1945, 856, 540, 513, 1414, 30235, 7260, 267, 855, 713, 3797, 1572, 15214, 8663, 545, 27488, 9615, 267, 610, 670, 289, 5588, 267, 814, 2907, 5280, 1082, 1004, 7092, 689, 1978, 10108, 269, 27603, 267, 7189, 946, 621, 547, 12115, 16398, 602, 1810, 1405, 1616, 547, 2673, 610, 547, 948, 4129, 945, 2627, 1932, 3533, 689, 2620, 1216, 543, 1205, 834, 1492, 536, 1742, 2437, 849, 1634, 607, 10920, 16054, 19210, 269, 1809, 25015, 267, 3173, 616, 3695, 952, 670, 289, 5588, 666, 798, 1256, 811, 13300, 585, 824, 2175, 910, 4481, 1079, 562, 7360, 6084, 3240, 13542, 3957, 15867, 18255, 781, 2068, 543, 22377, 894, 897, 4345, 267, 799, 1927, 1106, 1018, 649, 1289, 769, 11987, 14332, 601, 8376, 630, 296, 9720, 1040, 2913, 781, 4685, 4514, 883, 891, 8906, 2439, 5575, 1055, 267, 1577, 781, 1174, 875, 670, 289, 5588, 1568, 922, 9059, 269, 1879, 596, 13236, 538, 6986, 5135, 896, 2799, 2604, 267, 707, 1560, 25309, 1454, 811, 540, 621, 982, 8912, 269, 901, 3063, 5135, 1287, 12599, 998, 707, 18072, 267, 4543, 20754, 2127, 4309, 519, 5567, 789, 991, 547, 9156, 5488, 269, 3767, 1589, 827, 938, 4057, 2828, 609, 594, 9720, 282, 741, 6084, 332, 625, 616, 2141, 13347, 1813, 547, 6553, 910, 4952, 2348, 3586, 7181, 2851, 256, 12207, 4898, 2436, 2706, 12737, 532, 741, 4703, 609, 5135, 1223, 2569, 713, 6553, 543, 13468, 741, 2589, 780, 3086, 267, 1934, 2501, 519, 1187, 851, 1107, 1483, 3734, 2984, 256, 16514, 713, 1862, 1411, 4312, 6836, 1169, 4915, 2009, 267, 855, 4986, 4667, 547, 960, 585, 707, 11213, 15867, 18255, 781, 27506, 13522, 269, 3807, 950, 4126, 7959, 4503, 267, 2576, 5267, 3843, 856, 713, 21173, 5135, 3364, 344, 269, 5080, 29418, 267, 1310, 1896, 7886, 3330, 519, 2046, 28962, 5135, 12068, 267, 596, 1376, 4743, 1732, 256, 2334, 781, 10502, 1018, 5949, 547, 936, 1614, 6709, 11467, 540, 4079, 2713, 609, 15867, 18255, 781, 2068, 945, 15548, 538, 1585, 6901, 269, 1358, 4810, 1713, 8323, 1310, 8391, 670, 289, 5588, 2439, 2026, 585, 1346, 32626, 22377, 894, 897, 4345, 267, 2147, 2164, 7902, 9621, 269, 4014, 7864, 2090, 2291, 3379, 547, 15867, 18255, 781, 2068, 267, 519, 2139, 1239, 5815, 602, 3592, 3025, 609, 22377, 894, 897, 4345, 4951, 6454, 1310, 670, 289, 5588, 269, 1215, 3579, 568, 602, 2496, 4913, 267, 1832, 538, 2247, 602, 3744, 1869, 2015, 670, 289, 5588, 606, 8097, 2126, 585, 594, 9720, 269, 2859, 1382, 2115, 547, 581, 2944, 1354, 621, 3587, 4922, 2139, 693, 10506, 2282, 596, 269, 16480, 267, 891, 2038, 4681, 2386, 2285, 721, 4128, 547, 3251, 23904, 827, 1007, 7399, 538, 8156, 3676, 2899, 2219, 2150, 13224, 762, 269, 1656, 3884, 1405, 621, 5863, 547, 917, 602, 1945, 607, 2241, 607, 7244, 538, 811, 5135, 1223, 5732, 1689, 2729, 14693, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 29730, 8663, 545, 5135, 2126, 585, 12982, 15108, 2068, 281, 513, 9836, 2689, 543, 2079, 454, 21357, 13937, 3194, 4320, 476, 273, 267, 9137, 1297, 281, 476, 277, 630, 1001, 273, 994, 9199, 3431, 267, 5409, 8663, 545, 5135, 2126, 630, 295, 289, 5588, 264, 814, 1044, 1031, 547, 1521, 513, 3908, 27132, 540, 2068, 267, 1519, 10920, 16054, 19210, 543, 7067, 540, 1966, 16398, 269, 1717, 267, 930, 22602, 723, 1031, 670, 289, 5588, 547, 1521, 12982, 15108, 2068, 630, 296, 9720, 1070, 1519, 15867, 18255, 781, 2068, 543, 22377, 894, 897, 4345, 563, 4467, 11772, 633, 19707, 941, 5342, 538, 476, 279, 3621, 12240, 998, 476, 1001, 272, 547, 2697, 12326, 1210, 670, 289, 5588, 538, 594, 9720, 269, 5274, 2090, 543, 3662, 3631, 941, 2458, 730, 14384, 563, 1320, 597, 10117, 2090, 540, 670, 289, 5588, 538, 15867, 18255, 781, 2068, 543, 476, 277, 2090, 538, 22377, 894, 897, 4345, 941, 4857, 269, 769, 782, 2090, 267, 5171, 1185, 4049, 2068, 18195, 800, 547, 3044, 2564, 5574, 267, 1519, 29416, 8803, 6950, 267, 6375, 558, 617, 22399, 543, 4550, 13611, 6527, 269, 769, 2550, 609, 15867, 18255, 781, 2068, 267, 476, 4029, 270, 2412, 630, 4281, 8472, 1185, 4791, 9283, 609, 670, 289, 5588, 267, 1247, 782, 476, 4375, 1273, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 5020, 3690, 1431, 281, 19663, 5455, 543, 25021, 2201, 692, 2026, 596, 1332, 909, 267, 596, 786, 1995, 1082, 2242, 538, 707, 1272, 269, 1452, 13289, 666, 581, 1312, 3078, 543, 17559, 693, 519, 1482, 942, 269, 1411, 1522, 581, 3001, 547, 513, 1007, 4884, 267, 4358, 1164, 1153, 267, 610, 3478, 4712, 547, 979, 547, 2852, 269, 2353, 891, 2833, 616, 851, 540, 3395, 909, 543, 4742, 606, 2937, 269, 2913, 781, 2263, 930, 540, 519, 1455, 1272, 13289, 602, 1004, 979, 998, 543, 875, 789, 666, 1860, 721, 14156, 543, 9308, 780, 1432, 3657, 5020, 3690, 1431, 888, 10900, 14945, 16908, 13289, 616, 1713, 10593, 610, 2242, 538, 938, 2729, 602, 2154, 16369, 543, 9542, 269, 1358, 666, 581, 6126, 2621, 899, 3478, 9310, 610, 2348, 513, 4816, 267, 610, 4101, 3283, 899, 9561, 513, 6068, 835, 610, 2469, 998, 513, 16028, 269, 2368, 1272, 13289, 616, 4397, 267, 971, 607, 4271, 908, 689, 1647, 1153, 543, 3001, 593, 547, 1164, 1153, 269, 11524, 949, 2097, 30122, 267, 899, 513, 6727, 1847, 610, 2816, 2530, 269, 21894, 519, 2013, 267, 621, 781, 1271, 547, 1174, 602, 1689, 568, 513, 2067, 851, 540, 1272, 543, 1945, 602, 3025, 4422, 998, 780, 13349, 5020, 3690, 1431, 585, 8479, 20661, 454, 14343, 692, 2162, 18786, 4400, 3427, 692, 28275, 1164, 1153, 666, 581, 1312, 3078, 543, 25254, 269, 1411, 3513, 2743, 1007, 3610, 267, 1118, 1007, 2828, 267, 543, 723, 1007, 3255, 547, 1451, 543, 1332, 269, 1717, 267, 621, 666, 849, 581, 11566, 609, 811, 1950, 4081, 6788, 543, 1514, 6384, 269, 5457, 547, 1491, 1919, 3500, 267, 2307, 2055, 950, 2877, 267, 543, 3914, 856, 547, 1866, 952, 596, 1745, 4503, 610, 18516, 269, 2060, 942, 543, 4674, 267, 596, 3513, 1265, 707, 1747, 543, 8853, 538, 713, 1007, 1604, 780, 2162, 21744, 14886, 4721, 692, 7628, 18273, 267, 17052, 1419, 6521, 543, 11457, 269, 1306, 596, 9921, 543, 1020, 1007, 4690, 267, 596, 949, 1265, 3054, 1743, 14823, 6306, 689, 2025, 2828, 543, 8108, 4296, 609, 1007, 3283, 269, 901, 568, 9985, 3339, 543, 4523, 547, 3025, 269, 2755, 15603, 979, 540, 2025, 17052, 666, 581, 2352, 267, 3314, 602, 1818, 1007, 2828, 2636, 596, 547, 4228, 707, 20030, 543, 3605, 1007, 5380, 269, 22216, 880, 519, 8823, 596, 1185, 1927, 855, 1810, 1405, 581, 12922, 547, 9784, 1007, 3347, 780, 2162, 19484, 21434, 17716, 692, 305, 558, 4842, 3347, 666, 3142, 7772, 543, 20106, 267, 855, 789, 666, 849, 2014, 2566, 543, 2295, 5995, 269, 4804, 547, 6330, 11509, 4606, 543, 5968, 3927, 609, 4891, 3217, 2259, 543, 9639, 269, 5213, 1405, 581, 27209, 952, 707, 1101, 2078, 3085, 1405, 2063, 11014, 282, 3079, 267, 2070, 1142, 1995, 607, 513, 1565, 4316, 602, 2337, 596, 1732, 1174, 1018, 596, 1616, 543, 991, 538, 2104, 3347, 780, 2162, 27759, 585, 5441, 610, 19396, 9751, 692, 1320, 9722, 827, 2852, 610, 4876, 2866, 666, 581, 18447, 267, 2523, 2094, 972, 616, 865, 1082, 3681, 2139, 269, 10670, 3695, 1114, 4610, 543, 11678, 2038, 593, 547, 1205, 513, 2631, 540, 1018, 31168, 707, 1719, 269, 13185, 547, 4648, 538, 1585, 6080, 267, 3643, 2852, 3786, 4926, 267, 543, 2015, 11504, 11925, 610, 22631, 4721, 547, 2744, 3946, 6823, 1995, 269, 1635, 3257, 865, 267, 596, 3513, 2333, 707, 8458, 540, 4466, 513, 2619, 602, 20383, 609, 707, 18653, 543, 3853, 780, 10387, 10899, 13786, 525, 547, 7827, 454, 10900, 19030, 27087, 666, 29360, 513, 2039, 540, 4664, 267, 1519, 10761, 267, 4160, 267, 18354, 267, 543, 4250, 269, 4197, 543, 14344, 891, 4606, 568, 1898, 547, 10188, 1272, 13289, 6707, 269, 8347, 6158, 547, 2576, 596, 3972, 827, 707, 4555, 543, 4145, 269, 28651, 856, 547, 23003, 267, 1920, 2818, 267, 610, 24784, 945, 666, 2709, 5583, 543, 1489, 1282, 2053, 540, 10462, 780, 16498, 15448, 4438, 20390, 12412, 454, 5785, 21387, 1103, 1840, 547, 3929, 6114, 267, 2168, 2242, 2049, 1282, 18273, 269, 26268, 4689, 15088, 3565, 547, 2208, 27513, 1206, 267, 2960, 2736, 8083, 267, 543, 1560, 3337, 14759, 269, 5901, 538, 2247, 602, 3025, 9428, 543, 1319, 999, 8335, 267, 543, 972, 781, 1100, 834, 2431, 257, 1259, 547, 1413, 610, 1745, 269, 22737, 519, 2189, 7907, 602, 1118, 596, 945, 596, 616, 543, 1445, 593, 4509, 1434, 1072, 6208, 899, 4189, 1134, 267, 16706, 5781, 267, 543, 8026, 1582, 13282, 780, 6962, 454, 29603, 32382, 1272, 13289, 3340, 6043, 267, 13916, 267, 543, 1930, 16490, 1145, 269, 25506, 602, 1689, 568, 17149, 267, 543, 8508, 1007, 2591, 666, 1291, 547, 2123, 2208, 543, 1646, 269, 28259, 3054, 609, 11215, 2043, 267, 4497, 538, 2635, 12003, 6127, 267, 543, 2226, 5133, 2429, 519, 1184, 269, 26361, 782, 3116, 267, 3494, 538, 707, 2702, 547, 7753, 9465, 543, 21707, 538, 1022, 3510, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15100, 476, 1708, 272, 676, 519, 4589, 267, 5159, 267, 543, 21706, 1615, 333, 476, 14093, 274, 268, 276, 2641, 275, 454, 21545, 531, 26551, 6816, 2160, 681, 332, 476, 15836, 267, 645, 671, 326, 476, 24833, 476, 12010, 25004, 853, 1421, 15089, 2727, 334, 267, 27652, 642, 280, 337, 476, 276, 338, 276, 4757, 11333, 2593, 22045, 332, 698, 8872, 28022, 270, 1000, 7867 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 268, 5306, 1229, 8849, 5121, 786, 31391, 1007, 543, 15428, 3631, 827, 875, 519, 1158, 1568, 543, 875, 547, 2170, 609, 621, 1765, 2865, 2047, 538, 519, 1858, 540, 1353, 538, 799, 596, 949, 723, 7463, 269, 2659, 9241, 15428, 2790, 3631, 786, 267, 538, 2490, 267, 7369, 519, 2039, 540, 11236, 596, 1118, 827, 519, 1158, 607, 596, 2170, 609, 621, 269, 1879, 596, 7237, 513, 3409, 31539, 513, 3659, 610, 26393, 267, 610, 593, 1514, 2923, 267, 585, 1806, 20196, 3409, 949, 10880, 596, 607, 11214, 968, 4752, 6100, 898, 3085, 1406, 3280, 3833, 1318, 547, 596, 269, 2334, 711, 1922, 324, 9934, 28878, 2501, 689, 519, 6959, 6383, 676, 513, 15739, 32735, 1063, 713, 3409, 543, 707, 4835, 3631, 269, 634, 1985, 1900, 267, 2687, 547, 519, 20530, 2109, 2561, 26150, 4354, 6685, 16709, 630, 303, 19781, 264, 5943, 568, 547, 813, 571, 1047, 2436, 713, 12605, 5470, 568, 1945, 602, 596, 2461, 8049, 547, 1205, 547, 519, 5377, 540, 610, 711, 269, 1403, 865, 267, 602, 7279, 786, 1287, 18663, 596, 547, 4137, 856, 1946, 513, 3409, 3085, 1406, 3280, 1318, 267, 799, 1223, 4125, 2901, 1620, 543, 1287, 7713, 519, 5470, 540, 519, 3409, 267, 610, 2847, 2358, 707, 1378, 1620, 547, 6451, 707, 1007, 1620, 540, 1018, 568, 3020, 269, 769, 2110, 267, 2069, 5546, 707, 4835, 3631, 267, 799, 32290, 519, 5686, 540, 11236, 596, 13604, 1118, 543, 519, 2186, 540, 12605, 6959, 596, 2663, 1995, 269, 901, 1939, 14260, 268, 543, 5778, 27023, 3745, 268, 3033, 539, 2272, 2337, 2491, 1946, 649, 1522, 4497, 538, 2565, 3206, 538, 938, 4948, 2729, 267, 950, 649, 2461, 711, 2838, 547, 798, 865, 676, 606, 14357, 269, 1306, 13191, 16199, 517, 523, 267, 513, 2565, 3206, 17695, 626, 267, 814, 2854, 267, 968, 20776, 21215, 568, 693, 519, 4493, 540, 519, 1669, 638, 10329, 602, 12153, 519, 2565, 6253, 9722, 1184, 282, 519, 1589, 518, 22851, 538, 2565, 3206, 547, 2569, 519, 4743, 540, 1373, 1055, 3666, 610, 11821, 6100, 5080, 21215, 14340, 689, 606, 1344, 7934, 267, 689, 513, 12605, 5470, 269, 1809, 9983, 3294, 3884, 1406, 2614, 269, 11879, 3206, 568, 1454, 811, 4674, 995, 982, 3274, 13461, 593, 519, 5042, 646, 584, 2524, 602, 1827, 1454, 540, 938, 3206, 269, 1284, 723, 547, 581, 12592, 547, 798, 621, 269, 1306, 519, 623, 19781, 5943, 1148, 10306, 919, 267, 7279, 30147, 5205, 606, 4879, 540, 513, 12605, 5470, 1765, 25075, 1938, 602, 8404, 256, 1284, 849, 4043, 547, 1732, 3314, 1344, 649, 1451, 950, 649, 2461, 538, 513, 1533, 540, 7279, 269, 901, 1797, 602, 7279, 711, 1152, 4665, 919, 721, 547, 1451, 855, 2337, 31391, 602, 1565, 267, 2417, 5935, 938, 4835, 16762, 3631, 543, 519, 5686, 540, 1007, 13341, 602, 1522, 28596, 513, 1007, 536, 719, 540, 7279, 543, 1565, 563, 4407, 649, 949, 3006, 723, 6857, 1569, 547, 519, 2470, 540, 519, 11236, 938, 2634, 568, 1818, 267, 3226, 950, 1346, 11236, 616, 4636, 267, 7279, 568, 676, 4214, 513, 16148, 1533, 269, 4354, 6685, 949, 1683, 513, 29341, 6885, 585, 3695, 938, 4835, 2790, 5251, 29932, 267, 811, 8308, 267, 519, 5872, 540, 938, 4835, 3631, 609, 938, 5054, 563, 10501, 6685, 13462, 938, 2250, 543, 938, 2104, 269, 898, 666, 8451, 538, 3210, 547, 519, 10616, 1063, 1018, 649, 1631, 917, 543, 1018, 649, 1810, 1406, 2943, 917, 269, 1879, 649, 2461, 8049, 267, 649, 1745, 12592, 547, 2263, 267, 547, 2673, 891, 10616, 267, 547, 4228, 938, 3631, 540, 519, 1158, 269, 1635, 16439, 543, 17444, 593, 519, 16060, 540, 7279, 267, 649, 666, 1451, 811, 827, 6000, 543, 1332, 883, 938, 2104, 269, 594, 6557, 18056, 540, 519, 13354, 7242, 6048, 9478, 23720, 945, 30341, 519, 4295, 3992, 540, 9118, 14868, 689, 9082, 2066, 519, 1158, 607, 281, 968, 10287, 707, 1025, 1170, 9731, 4131, 779, 1205, 8049, 827, 7279, 676, 5329, 513, 7279, 4760, 585, 513, 1974, 540, 942, 269, 8074, 519, 1919, 596, 616, 8049, 827, 936, 519, 1576, 540, 513, 3018, 610, 513, 3923, 269, 1684, 519, 1919, 596, 616, 8049, 827, 2671, 10486, 286, 2052, 789, 581, 19040, 538, 930, 1259, 286, 1548, 798, 789, 5815, 827, 519, 5686, 540, 1344, 596, 8910, 899, 547, 723, 286, 1403, 596, 2461, 513, 2875, 1869, 10478, 585, 513, 4876, 2619, 267, 538, 1018, 8846, 1522, 707, 7279, 581, 15738, 596, 286, 12344, 267, 607, 596, 616, 6236, 2104, 1272, 10092, 267, 7279, 666, 581, 707, 544, 2224, 563, 2171, 616, 2348, 2833, 782, 519, 942, 799, 949, 593, 8317, 11904, 930, 2631, 540, 713, 267, 513, 2370, 20932, 540, 1141, 707, 1025, 1170, 568, 269, 3400, 321, 621, 269, 3143, 835, 666, 2995, 596, 1018, 621, 568, 2469, 547, 581, 269, 1411, 723, 547, 1451, 547, 5431, 707, 1378, 3178, 454, 587, 499, 9478, 23720, 267, 634, 5295, 540, 19088, 454, 268, 589, 1297, 540, 5640, 723, 17695, 2213, 602, 12605, 568, 968, 520, 519, 4295, 540, 17133, 892, 543, 513, 968, 4754, 517, 673, 9729, 673, 19106, 892, 602, 949, 1683, 513, 968, 684, 1881, 2634, 3069, 9731, 268, 634, 9759, 540, 519, 16762, 4393, 5943, 568, 602, 938, 12058, 723, 2919, 513, 2039, 540, 4835, 3631, 799, 5352, 11236, 827, 19670, 1344, 269, 20530, 2109, 6959, 616, 5293, 909, 519, 9729, 673, 15796, 547, 5351, 519, 5542, 610, 5250, 540, 1732, 17501, 3631, 563, 268, 20530, 2109, 6959, 666, 9594, 606, 968, 531, 1068, 543, 7259, 892, 3210, 267, 799, 568, 835, 1259, 547, 19820, 883, 519, 11236, 707, 2634, 568, 7683, 1818, 563, 268, 21023, 633, 4393, 2337, 1118, 2631, 540, 26776, 21141, 5054, 267, 3432, 909, 6284, 540, 2825, 15128, 267, 543, 1683, 5470, 6786, 602, 5397, 1565, 563, 268, 1306, 513, 12343, 540, 16762, 4393, 267, 649, 949, 13498, 3270, 543, 3615, 602, 616, 711, 2731, 538, 519, 1604, 269, 1284, 949, 849, 1294, 14375, 15377, 998, 519, 7828, 540, 938, 6788, 267, 12886, 267, 610, 11475, 563, 268, 19208, 568, 1776, 12605, 2599, 269, 3955, 5766, 908, 519, 10486, 543, 3604, 1063, 10004, 16821, 543, 938, 12058, 949, 581, 606, 4051, 633, 1259, 547, 1732, 1451, 827, 519, 9342, 543, 7687, 540, 12605, 563, 268, 21023, 633, 4393, 2488, 513, 5943, 799, 949, 2491, 875, 2069, 666, 7520, 2565, 3206, 543, 15400, 1565, 563, 268, 20530, 2109, 6959, 666, 8141, 7279, 799, 11479, 3408, 543, 1565, 563, 268, 21023, 633, 290, 5317, 311, 273, 9736, 962, 2177, 910, 3967, 595, 269, 10434, 523, 828, 724, 568, 13931, 896, 513, 16671, 15760, 4149, 288, 630, 16920, 9084, 9523, 2704, 833, 264, 12689, 454, 268, 28358, 1755, 318, 303, 514, 752, 6139, 330, 318, 300, 6686, 333, 7770, 318, 5038, 280, 274, 9736, 7009, 940, 5576, 331, 2714, 10458, 630, 27165, 281, 295, 3613, 339, 264, 568, 13931, 896, 513, 16671, 15760, 4149, 288, 630, 16920, 9084, 9523, 2704, 833, 264, 12689, 454, 268, 19208, 21115, 839, 14653, 9736, 18332, 2904, 568, 13931, 896, 513, 16671, 271, 630, 24478, 633, 12780, 20023, 264, 12689, 454, 268, 16952, 5547, 12222, 666, 581, 1336, 538, 519, 4574, 5532, 547, 538, 519, 6679, 5037, 269, 634, 5730, 2081, 538, 799, 16762, 4393, 13333, 538, 519, 2634, 568, 1869, 513, 2339, 540, 1360, 3742, 7634, 269, 7602, 369, 454, 268, 1280, 519, 9158, 1227, 2247, 539, 610, 2613, 539, 5467, 281, 2436, 519, 2634, 911, 742, 923, 538, 968, 10517, 6974, 725, 892, 568, 513, 2339, 585, 7521, 269, 1809, 621, 3085, 1406, 6086, 1947, 7369, 519, 1650, 1934, 269, 7602, 369, 454, 268, 8074, 602, 519, 6397, 3085, 1406, 9338, 310, 17751, 306, 10544, 938, 3007, 269, 901, 786, 581, 5941, 693, 519, 1439, 540, 519, 1985, 3184, 269, 7602, 369, 454, 268, 3807, 827, 1169, 4183, 540, 938, 2634, 779, 6189, 568, 971, 602, 621, 786, 2709, 5383, 585, 1978, 5686, 540, 4247, 610, 538, 1978, 5686, 540, 5054, 267, 543, 27167, 11393, 585, 824, 5686, 540, 4247, 610, 5054, 269, 1280, 513, 3152, 4901, 540, 519, 4123, 26160, 7915, 538, 938, 12058, 630, 663, 875, 891, 948, 1118, 721, 2189, 256, 1070, 594, 3810, 4363, 513, 1433, 676, 1250, 3659, 3220, 269, 932, 656, 531, 2398, 520, 267, 634, 29249, 540, 1411, 269, 7602, 369, 0, 763, 10348, 779, 17268, 281, 4256, 9576, 10791, 32672, 4705, 454, 763, 10348, 779, 5243, 616, 711, 1175, 8723, 666, 1149, 282, 789, 616, 19644, 2818, 540, 519, 10424, 1920, 269, 1306, 971, 267, 741, 2732, 568, 5402, 26940, 547, 2327, 789, 4309, 519, 1655, 6484, 2009, 269, 634, 10348, 568, 1634, 585, 1200, 2648, 540, 5243, 543, 3217, 1390, 11348, 538, 3246, 873, 609, 513, 7059, 543, 14312, 2732, 547, 1489, 741, 2949, 1072, 543, 1134, 5630, 563, 27735, 540, 513, 7743, 10791, 585, 9576, 2052, 1149, 454, 9617, 899, 3425, 267, 5243, 2154, 513, 1697, 2732, 547, 8853, 269, 589, 1134, 28394, 2331, 2732, 568, 1898, 585, 741, 2208, 267, 1646, 267, 543, 2949, 1072, 269, 634, 10348, 779, 5243, 616, 1100, 9868, 269, 589, 1697, 2732, 2337, 2226, 741, 4998, 2597, 267, 8992, 1434, 12536, 267, 7028, 513, 2635, 4761, 1062, 267, 543, 5849, 741, 25151, 2611, 21743, 543, 561, 755, 9317, 563, 288, 6733, 883, 519, 10348, 779, 17268, 685, 11545, 2725, 531, 4643, 454, 763, 10348, 779, 5243, 1246, 513, 3232, 7594, 1544, 602, 568, 23939, 9709, 543, 13401, 269, 4256, 2732, 5161, 540, 1164, 7779, 3940, 267, 11950, 267, 1898, 5567, 267, 543, 2635, 9600, 269, 3958, 267, 789, 616, 3177, 609, 16152, 543, 13000, 267, 782, 540, 799, 616, 5402, 6074, 547, 2743, 741, 1808, 9422, 2115, 563, 11947, 268, 26660, 19871, 281, 12708, 585, 2052, 710, 12594, 454, 3682, 12888, 568, 513, 2629, 5057, 540, 519, 10348, 779, 5243, 685, 2732, 269, 898, 568, 1898, 585, 519, 2208, 543, 7816, 540, 741, 6091, 267, 607, 1134, 607, 585, 519, 2504, 540, 11476, 543, 10399, 269, 634, 10348, 779, 5243, 4309, 1164, 7779, 3940, 689, 2959, 971, 607, 10709, 16469, 899, 9269, 267, 21429, 267, 543, 14132, 269, 901, 2337, 2327, 789, 723, 519, 2556, 11254, 7408, 585, 6099, 1072, 563, 763, 10020, 540, 2961, 8510, 6233, 538, 519, 10348, 779, 17268, 685, 10791, 454, 10111, 8510, 6233, 616, 606, 1271, 1648, 2707, 585, 519, 10348, 779, 5243, 269, 1358, 1683, 519, 2556, 4492, 585, 741, 3232, 2238, 543, 948, 1489, 741, 10307, 269, 634, 10348, 779, 5243, 4309, 11950, 689, 2959, 899, 2898, 9274, 267, 5613, 267, 543, 5388, 269, 1452, 1683, 1898, 8324, 267, 6886, 267, 543, 6775, 585, 741, 2949, 1072, 543, 1134, 5630, 563, 29973, 715, 19153, 585, 519, 10348, 779, 2052, 710, 12660, 687, 454, 1103, 1840, 547, 3940, 543, 11950, 267, 519, 10348, 779, 5243, 2154, 513, 3099, 540, 1898, 5567, 269, 1452, 1331, 8324, 267, 6886, 267, 543, 14434, 269, 4256, 2732, 16621, 513, 2039, 540, 8770, 1673, 1619, 3536, 547, 2327, 789, 4309, 782, 519, 2556, 2679, 7161, 585, 513, 2635, 543, 3742, 1272, 563, 763, 10348, 779, 17268, 543, 519, 11957, 540, 13245, 674, 1846, 454, 30144, 9600, 1404, 513, 2629, 1909, 538, 519, 10348, 779, 5243, 685, 2732, 269, 1358, 1683, 1648, 267, 948, 10110, 3170, 30320, 8324, 267, 543, 1489, 741, 2949, 1072, 269, 634, 10348, 779, 5243, 4309, 2635, 9600, 689, 2959, 899, 3165, 3282, 267, 799, 3568, 15060, 268, 274, 9761, 7408, 1634, 585, 741, 4550, 13611, 3601, 269, 901, 2337, 1832, 741, 2960, 2635, 543, 741, 25151, 21743, 563, 288, 7195, 2331, 10791, 281, 634, 6206, 547, 519, 10348, 779, 17268, 685, 2657, 454, 31010, 513, 7059, 2732, 568, 540, 25932, 2956, 585, 519, 10348, 779, 5243, 269, 4256, 6980, 616, 5402, 9709, 547, 1683, 519, 1318, 17114, 540, 3940, 267, 11950, 267, 9600, 267, 543, 1898, 5567, 269, 901, 3666, 5849, 602, 741, 9422, 2115, 616, 18113, 1558, 543, 2337, 2061, 1072, 2152, 2404, 609, 606, 12604, 2331, 2732, 563, 22492, 26678, 19047, 585, 18947, 9576, 2052, 1149, 454, 2026, 519, 10348, 779, 5243, 2085, 267, 741, 8192, 2115, 949, 1689, 269, 18947, 666, 1149, 2154, 513, 2732, 602, 7028, 4745, 1072, 267, 9667, 1072, 267, 543, 2949, 21755, 269, 634, 10348, 779, 5243, 4309, 2027, 7156, 538, 741, 2732, 547, 2272, 585, 891, 2242, 267, 971, 607, 519, 10014, 540, 6722, 657, 8533, 543, 669, 1180, 20936, 514, 585, 4745, 1489, 543, 3362, 7558, 1043, 3940, 2959, 585, 6099, 12536 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2068, 269, 2201, 519, 824, 1688, 267, 1416, 4016, 547, 519, 11865, 540, 2596, 2115, 543, 1489, 547, 3986, 519, 2298, 540, 1272, 267, 971, 607, 6484, 267, 20697, 267, 12062, 267, 543, 1480, 5872, 269, 769, 4334, 547, 10826, 267, 1416, 1281, 711, 8209, 2832, 547, 9004, 519, 5817, 2783, 855, 547, 2087, 519, 3461, 779, 4313, 543, 1134, 5630, 563, 21995, 1416, 267, 971, 607, 3246, 6484, 267, 20697, 267, 12062, 267, 543, 1480, 5872, 267, 568, 513, 4909, 5683, 17185, 267, 7488, 540, 519, 3461, 779, 2783, 269, 14904, 538, 513, 10770, 3543, 894, 1533, 630, 11901, 306, 264, 2154, 2596, 1416, 547, 2226, 741, 6668, 267, 543, 11198, 532, 971, 1416, 568, 2808, 25432, 30849, 269, 1280, 1383, 267, 621, 568, 1898, 547, 1683, 5841, 20697, 543, 6484, 547, 2550, 538, 513, 14346, 306, 267, 971, 607, 3842, 513, 8023, 8546, 267, 607, 621, 568, 741, 2596, 1318, 547, 4309, 891, 29476, 563, 288, 15179, 1449, 568, 513, 2564, 6268, 602, 11887, 513, 3461, 779, 2702, 547, 15179, 1426, 543, 4235, 9108, 269, 898, 568, 8612, 950, 513, 3461, 814, 7411, 24948, 610, 568, 693, 1981, 540, 8321, 566, 267, 1141, 1426, 610, 4235, 13788, 519, 9641, 3079, 540, 519, 7181, 269, 634, 1449, 3322, 28720, 1585, 1426, 543, 4235, 2874, 4293, 1247, 519, 3461, 779, 24948, 2702, 568, 4767, 563, 8469, 1227, 19443, 6484, 543, 20697, 630, 301, 26260, 264, 949, 581, 8612, 950, 513, 3461, 3112, 1491, 1426, 610, 4235, 30375, 610, 9108, 269, 901, 666, 2049, 538, 2550, 609, 513, 2039, 540, 2564, 2175, 267, 1519, 14346, 306, 267, 1141, 5711, 6981, 568, 711, 2009, 269, 1703, 616, 1585, 2010, 540, 1303, 1968, 6484, 630, 2894, 1070, 1519, 13439, 690, 770, 878, 630, 7582, 264, 13740, 267, 13439, 334, 16660, 329, 26915, 630, 301, 297, 264, 13740, 267, 543, 829, 12827, 10389, 1439, 25646, 12884, 560, 3912, 630, 303, 9680, 264, 13740, 269, 13673, 3322, 519, 6765, 540, 6484, 2047, 883, 519, 9667, 1062, 3842, 513, 8546, 563, 13707, 30822, 614, 531, 6484, 630, 9143, 301, 264, 543, 9864, 30822, 614, 531, 6484, 630, 13048, 301, 264, 616, 3029, 540, 30822, 614, 531, 6484, 630, 14149, 1040, 570, 14149, 2488, 782, 2556, 5567, 267, 971, 607, 11950, 267, 5946, 267, 543, 9600, 267, 3842, 513, 18916, 267, 21271, 532, 519, 9667, 1062, 7357, 269, 623, 14149, 568, 513, 1447, 1950, 1106, 540, 623, 301, 543, 2488, 9864, 6484, 1489, 267, 3335, 3842, 513, 15672, 18916, 563, 763, 2596, 6240, 585, 6915, 25677, 2079, 540, 715, 26260, 568, 519, 6240, 540, 5595, 1198, 269, 901, 6240, 2829, 602, 621, 568, 25432, 11807, 547, 1685, 606, 2962, 602, 814, 1079, 2360, 267, 835, 5497, 543, 519, 824, 26516, 267, 607, 1279, 607, 519, 5497, 1198, 568, 711, 25432, 4636, 267, 543, 519, 26516, 1198, 568, 711, 19018, 622, 547, 519, 5497, 1198, 269, 5565, 17756, 547, 713, 6240, 616, 519, 6240, 540, 9103, 1275, 267, 799, 13187, 602, 621, 568, 25432, 11807, 547, 15093, 513, 851, 585, 519, 19160, 540, 519, 2898, 267, 543, 519, 6240, 540, 13190, 267, 799, 11363, 519, 2956, 540, 606, 1367, 779, 1318, 547, 1582, 24148, 563, 1103, 519, 2013, 540, 6833, 787, 5576, 807, 17383, 267, 513, 6915, 25677, 2079, 540, 1200, 3510, 6920, 602, 4797, 11865, 540, 623, 9680, 1131, 711, 581, 538, 1200, 1655, 1719, 607, 621, 1131, 711, 2087, 1200, 2298, 540, 1272, 269, 6833, 787, 729, 538, 513, 10770, 3543, 894, 1533, 267, 543, 519, 11865, 540, 623, 9680, 1131, 1152, 10804, 1200, 1272, 31567, 267, 1510, 1022, 4126, 540, 6051, 269, 3958, 267, 621, 729, 10423, 602, 6833, 787, 1131, 711, 723, 4941, 547, 581, 6854, 9800, 31567, 267, 543, 1200, 1318, 547, 1582, 24148, 1058, 581, 15197, 563, 26314, 24225, 1948, 3953, 11363, 519, 17185, 540, 3782, 7426, 547, 1683, 2596, 1416, 267, 1519, 6484, 543, 20697, 267, 547, 2550, 538, 513, 14346, 306, 269, 24225, 338, 1948, 3451, 543, 1948, 4097, 2232, 519, 991, 585, 5571, 10526, 543, 519, 11865, 540, 1416, 1759, 593, 519, 3461, 779, 1367, 2115, 543, 6381, 269, 24225, 338, 1948, 6321, 267, 1948, 6872, 267, 543, 1948, 6812, 2232, 519, 5683, 17185, 547, 1683, 1416, 585, 2550, 693, 519, 1439, 540, 1272, 267, 10771, 519, 2956, 540, 23080, 14306, 1416, 543, 1928, 2359, 1247, 4180, 602, 519, 3461, 779, 15683, 543, 13190, 616, 15197, 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 ]
[ 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 12861, 513, 23433, 8535, 17186, 910, 4804, 689, 634, 24306, 692, 7072, 912, 5970, 596, 2479, 19557, 547, 513, 5152, 543, 2219, 267, 834, 32452, 267, 713, 4992, 865, 3579, 543, 1114, 10590, 2334, 781, 4010, 875, 1004, 1745, 950, 789, 5873, 634, 24306, 1404, 256, 901, 1895, 814, 1044, 1818, 5863, 2575, 585, 936, 476, 1789, 1296, 676, 9256, 1114, 2010, 540, 2575, 883, 835, 6909, 3280, 269, 1358, 3575, 12048, 31022, 267, 15690, 267, 543, 9997, 2575, 1927, 899, 5820, 538, 513, 8949, 11600, 269, 2913, 781, 1451, 827, 875, 789, 798, 621, 543, 1256, 2119, 938, 1688, 693, 2870, 1945, 2189, 6000, 2439, 272, 269, 24531, 3776, 28042, 14118, 1878, 630, 11900, 17508, 2187, 9617, 899, 634, 24306, 1265, 6667, 538, 12372, 1354, 873, 267, 649, 666, 1376, 676, 23115, 856, 799, 5159, 8300, 721, 269, 9320, 596, 2648, 6947, 547, 1402, 6801, 899, 13177, 27997, 610, 2972, 795, 2459, 532, 547, 5929, 4224, 13164, 971, 607, 634, 17029, 1782, 853, 2158, 269, 21894, 9135, 610, 7376, 14753, 547, 596, 267, 2328, 1524, 930, 4408, 269, 1452, 616, 707, 7574, 7506, 256, 1411, 1522, 1589, 891, 29202, 4465, 1405, 979, 1134, 1927, 267, 855, 1175, 7227, 543, 1294, 2336, 273, 269, 10289, 7756, 2637, 637, 630, 297, 9579, 267, 31177, 6953, 641, 267, 31522, 2187, 3086, 1577, 781, 4685, 4514, 883, 1346, 11964, 649, 5206, 1524, 4505, 269, 1548, 2306, 1142, 1826, 540, 2575, 2027, 286, 19415, 5702, 547, 8964, 1369, 1346, 6688, 269, 8347, 547, 2697, 10486, 543, 3604, 1851, 873, 269, 5457, 267, 972, 781, 1100, 1318, 610, 4636, 2626, 1934, 282, 621, 781, 782, 827, 3695, 1007, 4992, 2336, 265, 27227, 281, 5994, 3054, 588, 13764, 998, 513, 14297, 2749, 2407, 540, 1272, 543, 1648, 1247, 6217, 5347, 1094, 343, 25869, 1151, 657, 543, 24754, 14440, 23964, 269, 2334, 779, 15690, 256, 898, 1419, 2934, 27906, 5314, 267, 2495, 12372, 1711, 2694, 540, 519, 5152, 593, 519, 5544, 1282, 12644, 563, 265, 31177, 6953, 641, 281, 2052, 596, 4605, 513, 986, 3899, 838, 9231, 30053, 936, 513, 2178, 10726, 286, 3973, 596, 917, 12048, 31022, 256, 4706, 1445, 593, 9423, 2636, 5159, 547, 2671, 2123, 2833, 543, 4664, 998, 741, 18405, 563, 265, 31522, 281, 6056, 3636, 4938, 1023, 10483, 676, 2295, 325, 3881, 6835, 269, 31522, 2575, 13462, 7184, 609, 19700, 1813, 547, 922, 3929, 3178, 543, 3532, 4082, 563, 272, 269, 2349, 2056, 16319, 8625, 630, 11328, 2452, 2187, 1607, 851, 568, 1141, 519, 9059, 4523, 256, 3807, 899, 875, 634, 24306, 2818, 960, 1927, 547, 1711, 741, 15040, 2511, 267, 649, 1932, 786, 11100, 938, 6074, 11964, 269, 10670, 19234, 676, 2482, 1359, 4992, 689, 1585, 2959, 269, 5213, 1405, 5855, 952, 1919, 1810, 1405, 17450, 9985, 693, 1101, 1765, 8145, 1897, 267, 2259, 2306, 3356, 2336, 453, 825, 2608, 3220, 4548, 1299, 2142, 1846, 630, 3697, 2372, 652, 331, 913, 2567, 5410, 25576, 15664, 2609, 547, 2285, 2497, 543, 10605, 547, 707, 5137, 563, 453, 825, 2608, 10370, 7879, 1299, 681, 1506, 6996, 630, 3697, 4563, 23539, 2567, 3503, 18627, 610, 946, 4540, 3283, 602, 13469, 609, 596, 563, 453, 825, 2608, 9253, 3672, 1299, 24442, 630, 3697, 21919, 531, 22630, 2567, 7994, 7405, 610, 5439, 602, 9148, 707, 5697, 11964, 563, 453, 825, 2608, 30464, 6050, 630, 3697, 16735, 2567, 29130, 1970, 18565, 547, 19671, 707, 3950, 543, 1832, 3388, 16135, 563, 453, 825, 2608, 19468, 7901, 532, 630, 3697, 2480, 337, 2255, 2567, 15331, 609, 13047, 25576, 21631, 547, 1039, 1776, 4494, 540, 22464, 563, 272, 269, 19457, 2659, 9457, 12328, 912, 5629, 596, 2811, 6126, 609, 707, 6404, 24932, 516, 20100, 267, 2671, 621, 609, 1866, 256, 9105, 2828, 267, 1920, 267, 610, 15032, 585, 5955, 269, 5808, 6487, 286, 1411, 949, 3605, 2576, 3116, 8843, 707, 6492, 538, 20762, 6163, 256, 1656, 3314, 267, 1256, 1498, 634, 24306, 616, 4648, 267, 3025, 6238, 12341, 269, 1924, 1832, 8026, 267, 3695, 267, 543, 2348, 1187, 609, 2575, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3721, 8386, 28157, 281, 1215, 634, 24306, 23095, 4256, 23433, 14675, 454, 2690, 936, 1614, 5756, 267, 634, 24306, 723, 4797, 547, 530, 578, 9458, 609, 741, 2189, 3280, 602, 535, 4926, 12048, 31022, 267, 15690, 267, 543, 9997, 2575, 538, 513, 15774, 6073, 269, 3245, 741, 2038, 2395, 607, 513, 2661, 6512, 538, 15740, 547, 4742, 519, 2777, 6512, 585, 17623, 13957, 609, 13343, 3240, 12096, 517, 543, 2870, 5750, 2389, 25891, 11549, 4548, 899, 12085, 12096, 18766, 543, 25613, 684, 267, 634, 24306, 723, 2141, 1044, 23806, 538, 519, 1158, 540, 2575, 563, 19853, 3280, 568, 8185, 6766, 676, 15690, 17691, 899, 30683, 16026, 543, 3627, 2051, 339, 8735, 267, 855, 621, 849, 13315, 12048, 31022, 20054, 543, 9240, 7174, 269, 1717, 267, 1018, 5036, 634, 24306, 6306, 568, 519, 16799, 1063, 1142, 540, 519, 2043, 538, 519, 6512, 1107, 2372, 652, 331, 913, 593, 519, 27120, 267, 4563, 23539, 593, 519, 8020, 267, 21919, 531, 22630, 593, 1883, 15236, 267, 16735, 593, 18369, 13176, 543, 2480, 337, 2255, 593, 10726, 7901, 532, 1107, 789, 782, 960, 16900, 547, 1711, 513, 2582, 18900, 3280, 563, 3721, 2290, 281, 4855, 2659, 6184, 2869, 725, 454, 763, 1101, 1900, 547, 2870, 1022, 2189, 3280, 568, 547, 1174, 1141, 707, 4943, 725, 2097, 689, 269, 1280, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 8342, 1299, 2422, 995, 15306, 7457, 1559, 585, 2659, 5020, 692, 5970, 596, 2479, 4941, 547, 1265, 519, 3501, 10516, 585, 2576, 945, 14560, 2029, 286, 2107, 6148, 596, 2811, 1175, 3168, 585, 513, 3579, 1007, 1569, 800, 585, 3054, 256, 6733, 1100, 2417, 982, 10509, 17960, 602, 616, 1312, 6198, 543, 19278, 269, 1452, 19269, 666, 2087, 707, 3232, 1272, 267, 2436, 693, 1753, 267, 960, 267, 610, 593, 7308, 30559, 269, 2913, 781, 2263, 1614, 6688, 540, 5363, 10509, 17960, 780, 272, 269, 5901, 2677, 802, 5029, 1242, 609, 12829, 10298, 692, 5331, 6972, 883, 707, 29683, 267, 1152, 547, 1294, 8126, 1194, 27871, 543, 30069, 16559, 10876, 269, 898, 666, 581, 24858, 3843, 547, 3251, 6896, 1247, 849, 5329, 782, 707, 3457, 13324, 909, 269, 2334, 781, 1141, 5100, 10814, 25963, 2097, 538, 256, 2060, 10814, 25696, 899, 31522, 342, 527, 781, 595, 762, 15579, 518, 476, 274, 6261, 871, 267, 596, 666, 3362, 4383, 12123, 15791, 585, 11436, 267, 14342, 267, 543, 824, 11418, 269, 15439, 16833, 1142, 10260, 1472, 835, 540, 891, 11741, 10814, 25963, 543, 8936, 873, 896, 707, 11380, 610, 1022, 6366, 2627, 269, 901, 1259, 267, 596, 2141, 917, 1141, 707, 15791, 616, 267, 1818, 30749, 18334, 543, 4443, 269, 9578, 267, 789, 4465, 1405, 1205, 8697, 676, 1373, 18761, 610, 22283, 593, 15042, 2439, 5194, 1390, 4781, 585, 12180, 707, 2230, 568, 1210, 513, 2212, 7483, 13622, 269, 5502, 540, 6028, 707, 30069, 14084, 1472, 267, 3274, 13793, 873, 593, 513, 31933, 13622, 7923, 547, 519, 2427, 540, 707, 11380, 269, 2290, 2442, 3903, 568, 519, 31745, 528, 10361, 7483, 670, 809, 269, 4706, 2178, 23287, 25380, 2636, 596, 547, 1747, 621, 9170, 1510, 17656, 9475, 610, 4929, 3441, 269, 3767, 596, 666, 2972, 512, 4120, 6954, 6947, 8164, 596, 1616, 2439, 273, 269, 5455, 14079, 2659, 23866, 15232, 692, 8266, 2287, 547, 2575, 610, 27143, 12582, 1405, 1611, 27531, 3280, 2298, 269, 6787, 596, 2811, 862, 5024, 267, 4974, 267, 610, 21363, 693, 1753, 267, 1164, 7779, 1274, 321, 644, 338, 610, 30069, 666, 3648, 3986, 707, 8301, 1995, 269, 1280, 3236, 267, 2015, 12616, 1274, 321, 644, 338, 2966, 4481, 585, 3742, 19824, 910, 17570, 16513, 543, 18172, 17501, 865, 789, 1810, 1405, 2887, 856, 1282, 3635, 269, 2368, 1256, 2709, 2688, 14184, 661, 304, 5468, 998, 13959, 8924, 267, 3850, 3755, 547, 5386, 2389, 2317, 741, 3280, 7375, 780, 4002, 519, 824, 1688, 267, 952, 596, 4782, 936, 268, 792, 30069, 267, 972, 616, 7899, 540, 3681, 2139, 10023, 6846, 23545, 566, 2029, 269, 30433, 2275, 766, 1782, 30069, 946, 2890, 10746, 3710, 3330, 519, 1274, 322, 5725, 547, 3713, 19355, 4992, 543, 3132, 6587, 12451, 602, 22599, 873, 856, 269, 1306, 513, 1267, 267, 19700, 666, 23365, 2933, 538, 3638, 8301, 1863, 689, 4282, 19240, 780, 274, 269, 28064, 2961, 787, 630, 3633, 290, 264, 12708, 338, 692, 7661, 267, 1577, 781, 2911, 827, 1898, 4948, 4163, 3688, 1107, 1346, 1507, 855, 22800, 2645, 602, 1118, 938, 2729, 811, 10375, 269, 5295, 8492, 616, 2629, 585, 4896, 7683, 593, 741, 6049, 610, 16979, 2429, 519, 1554, 269, 589, 15409, 1379, 4871, 5849, 596, 3513, 2760, 2196, 856, 540, 6007, 1272, 1586, 267, 2523, 1282, 18002, 610, 2951, 269, 3509, 3631, 1489, 3728, 12123, 11250, 1932, 267, 4180, 8766, 29987, 1063, 3096, 780, 5194, 13561, 11581, 290, 6221, 568, 513, 3818, 2389, 944, 1883, 7798, 269, 11638, 2389, 8962, 1419, 9192, 1896, 3252, 971, 607, 17684, 323, 31034, 267, 11480, 1930, 619, 267, 23805, 267, 543, 31009, 883, 513, 2582, 3926, 4130, 982, 513, 2777, 4486, 269, 1358, 2811, 4998, 585, 21338, 7745, 14296, 267, 9395, 2287, 10690, 25336, 267, 6679, 15004, 267, 543, 9118, 824, 4247, 269, 1879, 7446, 513, 3818, 2389, 944, 1883, 7798, 267, 1904, 585, 17426, 2326, 899, 11956, 610, 24489, 543, 2327, 621, 2882, 2934, 1034, 4143, 547, 707, 2115, 780, 1103, 3932, 267, 6220, 4052, 2943, 11791, 10509, 17960, 883, 707, 6296, 666, 7494, 4324, 3919, 267, 7607, 267, 543, 2949, 3593, 1995, 269, 1635, 3695, 1114, 2010, 540, 10814, 2359, 3435, 267, 8301, 3937, 267, 543, 11581, 290, 10591, 267, 596, 2811, 2386, 547, 3605, 2189, 2472, 602, 3514, 16900, 883, 707, 6197, 269, 8414, 10918, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 2461, 3168, 585, 930, 1187, 543, 3730, 6006, 532, 8631, 619, 267, 1413, 1100, 2417, 269, 3245, 6049, 17960, 547, 13561, 28064, 2961, 787, 19269, 267, 649, 723, 513, 2370, 1945, 585, 16764, 563, 30720, 26716, 2086, 27158, 815, 6885, 26716, 2086, 27158, 13466, 6902, 6885, 26716, 2086, 27158, 6983, 30113, 815, 6885, 26716, 2086, 27158, 6983, 30113, 13466, 6902, 6885, 26716, 2086, 27158, 6983, 30113, 4877, 2313, 6600, 4233, 3890, 6885, 26716, 2086, 27158, 14491, 297, 310, 32156, 263, 2820, 2839, 267, 6345, 7838, 299, 267, 1404, 4289, 7838, 299, 267, 795, 342, 32156, 3519, 14808, 267, 13389, 30606, 267, 3738, 1547, 6533, 6600, 4233, 27203, 342, 32156, 9743, 766, 264, 12262, 634, 6345, 814, 1044, 17332, 543, 8120, 12262, 1411, 666, 3136, 707, 1184, 1934, 15426, 322, 2255, 6600, 4233, 263, 19587, 264, 12262, 634, 16286, 1289, 814, 8959, 267, 596, 1058, 6023, 621, 1934, 23641, 269, 19587, 263, 19587, 264, 3738, 3738, 3248, 2690, 519, 5851, 543, 8433, 281, 7435, 344, 717, 611, 12033, 585, 15526, 454, 5804, 519, 1753, 5604, 547, 519, 2713, 4055, 267, 891, 13344, 786, 948, 1832, 707, 10317, 6590, 6896, 267, 7038, 539, 267, 543, 1928, 6954, 1310, 513, 1279, 1554, 563, 763, 31745, 528, 10361, 7483, 670, 809, 454, 3963, 804, 13616, 909, 707, 11380, 609, 513, 2212, 7483, 1796, 950, 596, 666, 13793, 707, 30069, 18284, 593, 713, 13622, 888, 306, 9567, 342, 527, 595, 762, 15579, 518, 476, 274, 6261, 871, 454, 24876, 519, 10516, 540, 2760, 2348, 547, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1153, 814, 513, 4341, 602, 1152, 2636, 1053, 547, 5957, 27890, 267, 621, 1522, 3100, 4023, 267, 1318, 2496, 8334, 281, 17610, 267, 1317, 1287, 3025, 814, 547, 1246, 519, 1482, 4341, 780, 7692, 281, 8786, 267, 855, 1018, 952, 1034, 6690, 4782, 9849, 32293, 610, 1236, 16630, 286, 3973, 713, 834, 16029, 257, 4341, 1131, 2965, 581, 9875, 585, 6690, 547, 1246, 543, 1223, 1118, 873, 1745, 13943, 269, 1924, 267, 649, 991, 547, 1413, 6251, 543, 1294, 952, 972, 616, 1732, 2081, 547, 1118, 3652, 865, 789, 1810, 1405, 18417, 1521, 835, 1895, 8338, 982, 1776, 780, 8334, 281, 7937, 267, 594, 1205, 621, 256, 3807, 899, 875, 1250, 2462, 7015, 2141, 4991, 811, 14735, 982, 803, 1282, 4332, 17058, 1317, 646, 3081, 649, 1058, 8237, 621, 8449, 267, 855, 2731, 646, 4991, 811, 2094, 646, 781, 4587, 269, 1284, 991, 547, 1589, 827, 1018, 781, 3655, 790, 560, 585, 3025, 2439, 7692, 281, 22549, 267, 7705, 256, 1656, 602, 781, 1141, 8890, 6776, 12339, 24452, 2501, 538, 1932, 269, 5457, 950, 649, 14437, 827, 22158, 1373, 827, 7862, 1063, 25469, 2496, 8334, 281, 23010, 267, 899, 875, 8695, 543, 6690, 1058, 723, 3160, 8458, 547, 1404, 1022, 7328, 789, 1616, 780, 7692, 281, 9406, 256, 8890, 6776, 12339, 514, 1235, 946, 2312, 3206, 543, 6297, 7440, 547, 948, 4137, 856, 3435, 585, 4008, 8635, 267, 1175, 899, 875, 649, 941, 23115, 856, 519, 14512, 14735, 1966, 269, 1358, 849, 1353, 875, 2367, 543, 2021, 616, 17814, 8335, 538, 2835, 267, 9413, 267, 543, 9162, 267, 543, 2119, 547, 1118, 1346, 2592, 811, 7059, 780, 8334, 281, 15346, 256, 1924, 267, 1927, 267, 11879, 17813, 7869, 543, 8890, 6776, 12339, 24452, 948, 1711, 513, 3655, 790, 337, 1158, 585, 3025, 267, 1100, 2339, 1018, 2681, 741, 2960, 568, 610, 2436, 789, 2811, 513, 7911, 610, 8004, 780, 7692, 281, 1411, 3893, 621, 267, 7705, 256, 6496, 333, 1405, 621, 1745, 1434, 6616, 649, 666, 948, 1118, 938, 1158, 513, 2370, 3787, 1732, 1142, 1554, 2496, 8334, 281, 4347, 17802, 267, 7585, 256, 3767, 1577, 781, 979, 2995, 1250, 2462, 7015, 827, 4687, 14735, 811, 9425, 1862, 654, 880, 721, 9939, 2439, 7692, 281, 6153, 9939, 267, 7705, 256, 2913, 781, 4126, 707, 10388, 1983, 666, 1689, 1010, 2247, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22860, 6776, 8706, 1235, 616, 15806, 945, 3494, 602, 1312, 6138, 543, 22158, 616, 1134, 6039, 676, 1210, 930, 540, 519, 2035, 267, 6436, 267, 543, 2409, 540, 25107, 6138, 9168, 676, 15594, 2418, 543, 4030, 269, 1635, 1210, 968, 534, 24608, 15594, 892, 547, 21656, 741, 2511, 540, 15594, 9158, 1944, 267, 891, 15806, 11760, 741, 12242, 15594, 543, 25107, 5072, 543, 741, 9837, 547, 7119, 538, 519, 5571, 7391, 1369, 1312, 5389, 269, 769, 1840, 267, 519, 946, 540, 968, 534, 24608, 15594, 892, 8942, 547, 6450, 583, 1079, 4749, 1500, 16912, 6877, 281, 602, 15594, 6138, 7947, 338, 782, 519, 10054, 540, 2413, 1143, 543, 602, 25107, 6138, 568, 3352, 1042, 9851, 2406, 5256, 1532, 328, 1078, 269, 4935, 676, 20803, 2933, 25107, 8706, 1235, 267, 891, 15806, 14751, 519, 6228, 543, 2797, 1871, 540, 741, 960, 563, 5649, 619, 609, 513, 2178, 7287, 547, 968, 12827, 547, 519, 29677, 892, 949, 7914, 547, 519, 8772, 3296, 267, 593, 4162, 540, 25107, 22158, 269, 634, 1101, 1614, 6810, 1305, 519, 2796, 585, 25107, 22158, 676, 7713, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27287, 17813, 7869, 257, 607, 851, 540, 834, 24719, 13316, 1315, 2920, 13659, 1299, 4317, 10456, 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, 1012, 4197, 15932, 1145, 543, 17438, 609, 5124, 692, 305, 24655, 1145, 543, 5506, 616, 4241, 2035, 602, 948, 721, 1174, 519, 1158, 1472, 721, 269, 1358, 1450, 721, 547, 1118, 11236, 267, 5173, 4220, 267, 543, 5659, 1239, 269, 769, 713, 1770, 267, 649, 786, 2263, 891, 2035, 1210, 5124, 267, 513, 2442, 5752, 1893, 780, 2162, 15932, 1145, 543, 17438, 692, 305, 24655, 1145, 4016, 547, 519, 3668, 540, 4806, 610, 3589, 1464, 538, 2621, 269, 17438, 267, 593, 519, 824, 1688, 267, 568, 513, 2268, 540, 519, 10171, 540, 606, 2680, 9648, 269, 769, 5124, 267, 649, 666, 5352, 4351, 2338, 1210, 519, 2387, 12690, 319, 9074, 780, 2162, 634, 623, 732, 1729, 17392, 692, 763, 623, 732, 1729, 3892, 568, 513, 1379, 25237, 5506, 3892, 602, 568, 1031, 547, 2203, 513, 2647, 3099, 540, 2067, 543, 1514, 9259, 269, 898, 781, 1419, 1031, 538, 9297, 267, 15257, 267, 543, 824, 4610, 547, 4766, 3871, 1141, 972, 616, 513, 1906, 1804, 2621, 543, 1082, 1507, 3283, 780, 763, 623, 732, 1729, 3892, 568, 3989, 676, 1079, 6724, 281, 519, 3337, 9936, 3230, 10382, 2330, 630, 10401, 264, 543, 519, 4336, 9936, 3230, 343, 8548, 2330, 630, 343, 1016, 544, 1040, 634, 5506, 5860, 1599, 630, 14457, 264, 540, 519, 623, 732, 1729, 3892, 568, 2016, 676, 1384, 16465, 303, 3287, 264, 815, 1422, 8218, 26231, 1162, 8679, 21702, 346, 10382, 343, 8548, 317, 10382, 2410, 343, 3867, 10382, 266, 272, 3686, 1299, 1422, 3667, 346, 1721, 7684, 1535, 21759, 1535, 8548, 8607, 454, 271, 1299, 1422, 3667, 346, 1721, 7684, 1535, 2999, 1535, 8548, 454, 17910, 26231, 1162, 8679, 9681, 1607, 1599, 6645, 721, 519, 5506, 540, 513, 4351, 4756, 3230, 311, 2330, 2921, 593, 513, 1871, 540, 3230, 343, 2330, 610, 3152, 780, 2162, 9198, 908, 623, 732, 1729, 15932, 25159, 692, 2414, 5352, 4351, 4632, 689, 519, 623, 732, 1729, 3892, 267, 649, 666, 946, 519, 1739, 4542, 1384, 16465, 311, 815, 1422, 2765, 12757, 8548, 2410, 263, 272, 910, 772, 22722, 272, 270, 10382, 3686, 454, 9681, 3602, 3230, 308, 2330, 568, 513, 4351, 1297, 1063, 476, 271, 543, 476, 272, 267, 543, 3230, 343, 8548, 2330, 543, 3230, 10382, 2330, 616, 519, 6724, 540, 519, 623, 732, 1729, 3892, 780, 2080, 781, 875, 649, 666, 2936, 713, 538, 5124, 1384, 3499, 7090, 454, 5814, 4351, 454, 5814, 2979, 692, 343, 8548, 815, 476, 272, 476, 1948, 4336, 9936, 454, 10401, 815, 476, 273, 476, 1948, 3337, 9936, 692, 340, 815, 4351, 20179, 3890, 476, 1948, 5352, 513, 4351, 1297, 1063, 476, 271, 543, 476, 272, 454, 335, 815, 2979, 4877, 578, 263, 272, 910, 579, 267, 476, 272, 1315, 13672, 264, 476, 1948, 5173, 630, 272, 910, 772, 8203, 263, 272, 270, 10382, 994, 343, 815, 1535, 8548, 1315, 533, 476, 1948, 5173, 2473, 454, 7884, 2162, 3244, 6819, 519, 623, 732, 1729, 17392, 692, 3086, 602, 649, 917, 875, 547, 5352, 4351, 4632, 689, 519, 623, 732, 1729, 3892, 267, 649, 666, 18082, 519, 3892, 543, 14650, 621, 269, 3371, 781, 513, 5124, 1599, 602, 1281, 713, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 692, 3698, 18082, 318, 6768, 1729, 263, 10401, 267, 1535, 8548, 267, 7306, 2187, 825, 3113, 815, 11713, 825, 3113, 318, 7290, 815, 11713, 825, 4778, 815, 18358, 1042, 3299, 1412, 321, 3299, 1412, 326, 3299, 1412, 528, 1052, 3299, 1412, 20580, 921, 262, 6540, 825, 585, 795, 267, 2450, 538, 26246, 4433, 3278, 2187, 1038, 1820, 2891, 301, 815, 14307, 2450, 994, 1038, 2418, 815, 29129, 1038, 585, 737, 538, 2039, 263, 298, 2187, 2018, 2040, 815, 476, 271, 454, 2018, 585, 1775, 538, 2039, 4433, 1125, 2187, 3546, 579, 815, 4351, 20179, 4590, 3546, 533, 815, 2979, 4877, 578, 263, 272, 910, 579, 267, 476, 272, 1315, 13672, 994, 3546, 1535, 815, 1535, 8548, 1315, 533, 454, 3546, 2040, 6834, 1535, 692, 2018, 2040, 1315, 284, 2450, 454, 2018, 2418, 6910, 4433, 636, 2020, 1038, 25510, 815, 1496, 271, 1341, 1535, 585, 1535, 538, 2039, 263, 1001, 22708, 1038, 1277, 267, 10822, 318, 539, 2471, 815, 5286, 269, 7290, 6945, 18828, 15126, 263, 11161, 1070, 25510, 994, 1038, 1293, 267, 25510, 267, 9041, 815, 12301, 269, 7290, 263, 7290, 267, 25510, 30381, 267, 2681, 284, 3712, 832, 14728, 3910, 5860, 18989, 994, 1038, 3514, 815, 13672, 2608, 1535, 8548, 2878, 13672, 1315, 25510, 2878, 630, 10401, 1341, 476, 272, 994, 1038, 12301, 19502, 6357, 1231, 267, 3193, 6262, 870, 264, 2608, 3514, 1315, 3193, 6600, 527, 1070, 1899, 12296, 284, 273, 267, 2681, 8782, 337, 5073, 1038, 3113, 318, 7290, 6910, 263, 7290, 994, 1038, 3113, 6910, 263, 11161, 994, 825, 12301, 20481, 4590, 7884, 1607, 1599, 3217, 607, 3403, 519, 6724, 540, 519, 623, 732, 1729, 3892, 630, 319, 10401, 319, 543, 2387, 343, 8548, 319, 264, 543, 513, 1592, 540, 7306, 630, 319, 338, 3278, 319, 1040, 1280, 1142, 2450, 267, 621, 12958, 513, 1297, 540, 4351, 4632, 689, 519, 623, 732, 1729, 3892, 543, 21410, 741, 1611, 269, 898, 1287, 13602, 513, 27008, 540, 891, 1797, 543, 6772, 904, 519, 7811, 623, 732, 1729, 3892, 780, 763, 2387, 338, 3278, 319, 9936, 2636, 721, 547, 1294, 875, 519, 3892, 2242, 607, 649, 2333, 519, 1297, 540, 4351, 4632, 269, 634, 3677, 519, 2450, 267, 519, 6251, 519, 3892, 540, 1797, 786, 581, 547, 519, 7811, 623, 732, 1729, 3892, 780, 2162, 10390, 692, 1103, 713, 1770, 267, 649, 4312, 4121, 827, 4351, 1145, 267, 5506, 267, 543, 519, 623, 732, 1729, 3892, 269, 1284, 4312, 2938, 875, 547, 5352, 4351, 4632, 689, 519, 623, 732, 1729, 3892, 543, 875, 547, 18082, 543, 14650, 519, 3892, 269, 901, 1702, 786, 581, 3730, 538, 1082, 1114, 4610, 267, 689, 9297, 543, 15257, 547, 6323, 543, 2780, 2257, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 1822, 267, 476, 1911, 1822, 267, 476, 1911, 1822, 1822, 2639, 258, 7306, 815, 1496, 272, 267, 476, 1911, 267, 476, 1911, 271, 2639, 3698, 30775, 274, 3890, 1384, 825, 3113, 815, 11713, 825, 3113, 318, 7290, 815, 11713, 825, 4778, 815, 18358, 1042, 3299, 1412, 321, 3299, 1412, 326, 3299, 1412, 528, 1052, 3299, 1412, 20580, 921, 262, 6540, 825, 585, 795, 267, 2450, 538, 26246, 4433, 3278, 17107, 1038, 1820, 2891, 301, 815, 14307, 2450, 994, 1038, 2418, 815, 29129, 1038, 585, 737, 538, 2039, 263, 298, 17107, 2018, 1820, 17347, 994, 2018, 2040, 815, 476, 271, 454, 2018, 585, 1775, 538, 2039, 4433, 1125, 2187, 3546, 1948, 1535, 815, 630, 12639, 20179, 4877, 732, 1729, 263, 10401, 267, 2450, 264, 1341, 476, 272, 264, 2608, 1535, 8548, 454, 3546, 579, 815, 4351, 20179, 4590, 3546, 533, 815, 2979, 4877, 578, 263, 272, 910, 579, 267, 476, 272, 1315, 13672, 994, 3546, 1535, 815, 1535, 8548, 1315, 533, 454, 3546, 2040, 6834, 1535, 692, 2018, 2040, 1315, 284, 2450, 454, 2018, 2418, 6910, 4433, 636, 2020, 1038, 25510, 815, 1496, 271, 1341, 1535, 585, 1535, 538, 2039, 263, 1001, 22708, 1038, 1277, 267, 10822, 318, 539, 2471, 815, 5286, 269, 7290, 6945, 18828, 15126, 263, 11161, 1070, 25510, 994, 1038, 1293, 267, 25510, 267, 9041, 815, 12301, 269, 7290, 263, 7290, 267, 25510, 30381, 267, 2681, 284, 3712, 832, 14728, 3910, 5860, 18989, 994, 1038, 3514, 815, 13672, 2608, 1535, 8548, 2878, 13672, 1315, 25510, 2878, 630, 10401, 1341, 476, 272, 994, 1038, 12301, 19502, 6357, 1231, 267, 3193, 6262, 870, 264, 2608, 3514, 1315, 3193, 6600, 527, 1070, 1899, 12296, 284, 273, 267, 2681, 8782, 337, 5073, 1038, 3113, 318, 7290, 6910, 263, 7290, 994, 1038, 3113, 6910, 263, 11161, 994, 825, 12301, 20481, 30800, 325, 15635, 274, 4590, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2685, 13031, 2680, 563, 1103, 476, 272, 15656, 476, 736, 281, 1240, 543, 1739, 267, 649, 1265, 6424, 543, 22189, 4259, 8521, 1018, 568, 267, 1510, 608, 12000, 3130, 267, 513, 3810, 8966, 543, 5693, 4412, 4854, 1544, 593, 875, 547, 5815, 590, 4954, 779, 15752, 3823, 6424, 269, 3371, 649, 1224, 602, 6424, 729, 547, 979, 12404, 538, 513, 2361, 585, 1614, 2395, 269, 22189, 2798, 856, 602, 968, 1492, 1007, 7599, 892, 729, 693, 1688, 267, 543, 602, 972, 729, 513, 21649, 693, 602, 942, 543, 602, 646, 1131, 581, 14406, 563, 5575, 267, 1018, 21649, 729, 621, 286, 4746, 267, 1018, 729, 5921, 676, 519, 1007, 7599, 286, 1656, 6368, 267, 1018, 729, 3395, 538, 519, 2361, 286, 1306, 596, 786, 1294, 267, 17216, 267, 519, 21649, 729, 30687, 269, 1656, 267, 649, 616, 5143, 538, 25360, 332, 476, 10037, 281, 272, 602, 519, 968, 2908, 7599, 892, 568, 519, 968, 21459, 7599, 2223, 543, 1934, 649, 1294, 519, 2407, 7599, 4259, 909, 610, 8159, 519, 12557, 540, 713, 21649, 269, 5457, 267, 519, 11706, 1185, 1044, 1166, 5792, 282, 543, 538, 3257, 865, 267, 789, 941, 896, 519, 14334, 23867, 22672, 11238, 267, 4098, 519, 3923, 609, 513, 524, 29266, 7599, 269, 1656, 3833, 14013, 267, 713, 729, 2921, 1747, 693, 519, 942, 540, 590, 4954, 267, 945, 5128, 729, 513, 21981, 540, 713, 14334, 23867, 942, 1107, 646, 729, 519, 14334, 1354, 519, 1769, 540, 519, 17599, 540, 6424, 563, 4415, 891, 1079, 2055, 12943, 267, 649, 1631, 917, 1018, 729, 3395, 538, 519, 2361, 602, 6424, 729, 15720, 538, 269, 898, 729, 24061, 267, 519, 7556, 693, 519, 942, 540, 30687, 269, 4935, 267, 713, 3003, 2680, 729, 2921, 1747, 693, 519, 5730, 942, 950, 23968, 3333, 7699, 543, 3571, 20785, 941, 6972, 538, 519, 24061, 2361, 543, 1261, 5219, 547, 6424, 538, 8878, 540, 519, 3527, 540, 3571, 20785, 269, 2913, 721, 3136, 609, 519, 2272, 563, 4002, 519, 1101, 968, 2908, 7599, 2223, 519, 2185, 18818, 267, 590, 4954, 8068, 602, 6424, 729, 711, 972, 267, 855, 646, 1767, 4986, 269, 2201, 968, 1492, 2034, 1007, 7599, 2223, 519, 6957, 18818, 267, 646, 4280, 827, 6424, 543, 2968, 1360, 14220, 543, 28520, 1010, 27490, 693, 22189, 269, 2334, 1985, 6640, 267, 519, 31303, 267, 22189, 4682, 547, 6424, 593, 713, 3791, 1554, 543, 5340, 513, 4159, 609, 606, 15561, 602, 568, 17216, 4412, 4854, 267, 855, 786, 711, 581, 9619, 269, 22189, 1287, 5143, 6424, 602, 590, 4954, 4941, 547, 6146, 1864, 543, 646, 2877, 547, 25176, 269, 22189, 1287, 8120, 1394, 547, 519, 2749, 267, 543, 649, 1224, 602, 6424, 4682, 547, 12321, 267, 1141, 646, 4607, 519, 1397, 30103, 563, 4263, 713, 1448, 267, 519, 3169, 12557, 540, 519, 2395, 24044, 269, 1284, 917, 602, 972, 941, 1614, 1808, 2395, 4553, 1934, 267, 519, 1101, 1079, 1373, 519, 30687, 1007, 7599, 905, 6814, 267, 543, 519, 3791, 4098, 609, 713, 5385, 1063, 22189, 543, 6424, 269, 1809, 689, 741, 6643, 593, 972, 568, 1100, 1808, 12557, 2016, 269, 1284, 616, 5143, 602, 6424, 968, 13427, 543, 8977, 539, 267, 1247, 22189, 4682, 883, 519, 2749, 1848, 898, 666, 581, 10924, 602, 593, 602, 1482, 1554, 6424, 4682, 547, 12321, 267, 585, 621, 729, 827, 513, 13304, 2476, 269, 1809, 782, 649, 917, 568, 602, 621, 568, 1767, 1107, 968, 10190, 6424, 3357, 547, 12321, 2560, 907, 892, 6424, 1223, 723, 8854, 519, 1985, 1554, 269, 4208, 568, 713, 2243, 4547, 909, 286, 5221, 713, 3003, 2680, 729, 17216, 3810, 4412, 4854, 540, 23968, 3333, 7699, 779, 16961, 32267, 542, 543, 24446, 2336, 2171, 723, 2907, 2938, 602, 538, 1931, 547, 14183, 28897, 267, 12557, 267, 543, 519, 6589, 3823, 519, 2621, 540, 23968, 3333, 7699, 779, 2669, 543, 24446, 267, 1261, 1185, 547, 581, 538, 519, 18205, 1614, 2395, 543, 1614, 17334, 269, 1261, 1185, 547, 581, 16961, 1881, 593, 519, 2185, 18818, 267, 543, 4473, 689, 519, 18205, 593, 519, 6640, 540, 519, 27867, 269, 1809, 950, 596, 723, 547, 4308, 609, 519, 4641, 602, 23968, 3333, 7699, 814, 547, 2759, 2110, 519, 2395, 538, 799, 519, 1560, 540, 2441, 568, 547, 581, 538, 519, 18205, 585, 1614, 2395, 543, 1614, 17334, 267, 543, 2569, 621, 547, 1079, 543, 2097, 2038, 865, 607, 547, 3247, 602, 2669, 1184, 267, 28897, 814, 547, 798, 930, 1919, 602, 1205, 3833, 14845, 563, 10214, 607, 23968, 3333, 7699, 729, 538, 519, 18205, 585, 1614, 2395, 543, 1614, 17334, 267, 865, 519, 1560, 540, 2441, 568, 547, 581, 538, 519, 18205, 585, 1614, 2395, 543, 1614, 17334, 267, 610, 476, 274, 267, 1822, 1296, 269, 4475, 267, 621, 568, 16155, 2838, 602, 789, 3112, 759, 584, 5550, 585, 1776, 476, 272, 267, 1822, 1296, 269, 1717, 267, 649, 616, 5143, 538, 15623, 476, 2190, 281, 2420, 543, 4460, 476, 1724, 281, 736, 630, 1492, 1079, 2835, 602, 3717, 547, 519, 476, 273, 267, 1822, 1032, 2759, 6879, 677, 1974, 540, 519, 5939, 264, 602, 952, 1346, 2395, 941, 711, 2759, 2110, 630, 1729, 1079, 1070, 602, 968, 7224, 17145, 1131, 581, 10710, 1848, 1924, 267, 4352, 23968, 3333, 7699, 729, 538, 519, 18205, 585, 1614, 2395, 543, 1614, 17334, 282, 540, 13766, 267, 1261, 1590, 2759, 2110, 519, 2395, 540, 519, 1560, 540, 2441, 547, 1079, 267, 561, 652, 1100, 17145, 1131, 581, 10710, 269, 630, 1607, 568, 9838, 609, 519, 1614, 14930, 540, 28311, 1107, 23111, 541, 1373, 2759, 2110, 547, 1079, 14930, 267, 561, 652, 1100, 17145, 267, 1256, 519, 3791, 5067, 267, 1131, 581, 10710, 1496, 7049, 8412, 476, 4343, 4940, 994, 1432, 1281, 713, 1611, 286, 898, 1797, 602, 23968, 3333, 7699, 1590, 2097, 2038, 543, 1685, 585, 519, 5939, 1018, 789, 723, 11207, 8959, 547, 798, 269, 630, 10214, 607, 28311, 5340, 1018, 1010, 14930, 8959, 547, 798, 4700, 4475, 267, 649, 1294, 713, 10539, 607, 547, 875, 1279, 23968, 3333, 7699, 729, 538, 519, 18205, 1107, 519, 16219, 1614, 2395, 543, 1614, 17334, 267, 610, 519, 14845, 543, 20849, 1079, 286, 634, 2626, 568, 602, 1261, 13924, 1345, 729, 538, 519, 18205, 585, 519, 2838, 2407, 8653, 267, 1256, 607, 1261, 8288, 593, 519, 3444, 585, 1614, 2407, 3108, 540, 14334, 1107, 689, 519, 15795, 547, 519, 27630, 5662, 630, 15812, 476, 1428, 281, 3451, 1040, 1809, 585, 519, 19160, 540, 519, 1528, 267, 1261, 814, 547, 2759, 602, 942, 2110, 543, 2097, 2038, 269, 4935, 596, 1294, 713, 4412, 1127, 1221, 267, 711, 1152, 1934, 855, 11992, 267, 865, 602, 972, 568, 10539, 1256, 538, 519, 2395, 540, 23968, 3333, 7699, 779, 1378, 1974, 538, 519, 18205, 269, 5637, 24446, 7653, 3112, 581, 3020, 282, 855, 22445, 1227, 267, 1312, 723, 547, 581, 23576, 269, 1452, 32475, 616, 3976, 267, 2899, 1586, 267, 4412, 4854, 678, 26680, 10703, 4705, 538, 6426, 32475, 269, 1280, 1383, 267, 1934, 568, 519, 678, 1497, 912, 1692, 666, 23968, 3333, 7699, 779, 1560, 581, 538, 519, 18205, 1614, 2395, 543, 1614, 17334, 267, 855, 849, 581, 538, 519, 18205, 585, 1152, 1079, 2395, 543, 1079, 17334, 888, 1607, 4667, 7543, 267, 3085, 1406, 621, 286, 1809, 519, 1259, 621, 3587, 2009, 568, 547, 1491, 519, 2339, 547, 513, 2362, 10155, 267, 547, 519, 11359, 10155, 540, 8567, 630, 10521, 19029, 769, 519, 12567, 267, 2985, 476, 275, 1040, 1635, 3257, 713, 267, 543, 5969, 519, 942, 2110, 585, 519, 2362, 10155, 20106, 689, 1614, 2395, 547, 1079, 2395, 267, 1312, 616, 3020, 269, 1924, 267, 519, 2626, 547, 519, 678, 1497, 568, 912, 3528, 23968, 3333, 7699, 779, 21055, 1560, 16180, 519, 1614, 2395, 543, 1614, 17334, 267, 543, 3571, 5289, 1560, 2348, 922, 2395, 2759, 2110, 547, 1079, 2395, 543, 1079, 17334, 563, 13731, 2103, 3494, 602, 10732, 568, 741, 521, 30117, 267, 519, 21632, 1554, 267, 7551, 8506, 873, 547, 6108, 1614, 2395, 543, 1614, 17334, 538, 519, 18205, 1107, 741, 1614, 3108, 540, 14334, 269, 1809, 789, 849, 3494, 602, 23968, 3333, 7699, 729, 538, 519, 18205, 1079, 2395, 543, 1079, 17334, 269, 1656, 16416, 2685, 713, 786, 581, 24009, 585, 873, 267, 5969, 741, 2395, 2110, 563, 2171, 1294, 1287, 538, 713, 2272, 602, 6424, 729, 513, 1826, 540, 23968, 3333, 7699, 779, 30687, 2669, 543, 24446, 267, 855, 609, 519, 2395, 2759, 2110, 269, 6145, 23968, 3333, 7699, 267, 646, 729, 547, 723, 1044, 6456, 538, 519, 2361, 585, 1614, 2395, 282, 855, 538, 1249, 267, 646, 729, 6456, 585, 1079, 269, 634, 10213, 2601, 585, 713, 568, 1141, 646, 729, 6456, 1107, 538, 519, 24061, 267, 519, 1528, 269, 901, 568, 519, 1482, 2361, 23968, 3333, 7699, 543, 3571, 20785, 941, 538, 950, 1261, 12038, 540, 6424, 593, 519, 2034, 8783, 521, 30117, 267, 519, 1360, 1554, 593, 799, 1261, 1131, 2663, 759, 584, 5550, 269, 1656, 621, 568, 585, 519, 19160, 540, 713, 1528, 602, 1346, 2395, 616, 2759, 2110, 547, 1079, 267, 1256, 607, 729, 519, 2013, 609, 6424, 563, 3383, 1018, 1287, 1281, 713, 2995, 721, 3823, 950, 6424, 17696, 519, 13394, 3603, 3694, 286, 3371, 267, 2899, 1586, 267, 649, 1294, 519, 9814, 267, 519, 678, 1497, 267, 543, 2943, 519, 14952, 748, 4898, 540, 711, 1152, 1018, 23968, 933, 327, 568, 3257, 267, 855, 519, 3160, 14952, 540, 3571, 2262, 269, 5901, 538, 2247, 267, 23968, 933, 327, 779, 2262, 1590, 4412, 1127, 344, 1312, 540, 891, 1107, 519, 2407, 1974, 267, 607, 1134, 607, 519, 2759, 6879, 677, 1974, 269, 1656, 25031, 585, 519, 1286, 2522, 2247, 267, 799, 568, 9247, 782, 519, 5939, 814, 1185, 547, 960, 609, 585, 476, 273, 267, 1822, 1296, 267, 3226, 7282, 519, 7085, 3317, 1756, 267, 713, 678, 1497, 568, 796, 24987, 762, 563, 2252, 6424, 729, 547, 723, 1449, 1881, 547, 23968, 3333, 7699, 779, 24446, 1310, 1614, 2395, 543, 1614, 17334, 267, 646, 1131, 723, 18423, 538, 519, 2361, 519, 2407, 1614, 2395, 543, 8854, 547, 12321, 593, 519, 1985, 1554, 269, 1809, 519, 1152, 1966, 609, 602, 568, 602, 952, 646, 1185, 16607, 2899, 22189, 3357, 267, 646, 17216, 1131, 723, 1044, 7166, 676, 590, 4954, 269, 1656, 713, 568, 10502, 1018, 1131, 4755, 952, 8567, 729, 711, 2759, 2110, 543, 23968, 3333, 7699, 16607, 1776, 476, 272, 267, 1822, 1296, 1107, 519, 590, 4954, 1974, 1131, 6146, 519, 1560, 540, 2441, 267, 799, 621, 814, 2944, 585, 476, 273, 267, 1822, 1296, 267, 543, 968, 7224, 17145, 1131, 581, 10710, 1848, 898, 1131, 581, 519, 3003, 1614, 3108, 540, 14334, 267, 693, 519, 1439, 540, 799, 519, 1560, 540, 2441, 1131, 3956, 856, 267, 968, 7069, 2696, 267, 1250, 2696, 267, 1946, 723, 1411, 585, 338, 2586, 721, 9495, 898, 1131, 581, 519, 2669, 540, 17125, 1695, 267, 28311, 779, 3791, 543, 3803, 5067, 269, 898, 1131, 581, 7195, 320, 600, 779, 12556, 519, 3791, 942, 1185, 519, 1810, 4486, 711, 9447, 1864, 563, 3719, 267, 2094, 6424, 729, 15720, 538, 2034, 3816, 333, 656, 24061, 630, 28785, 267, 519, 1482, 2361, 23968, 3333, 7699, 729, 7555, 538, 1070, 1010, 2395, 941, 2759, 2110, 267, 543, 711, 1152, 1223, 646, 3548, 519, 1397, 30103, 593, 519, 3791, 1554, 267, 855, 646, 4607, 717, 10008, 987, 779, 18156, 269, 1656, 1832, 538, 2247, 1934, 607, 1134, 602, 1397, 30103, 568, 849, 1572, 968, 1492, 3694, 540, 3571, 4527, 892, 256, 634, 3694, 23968, 3333, 7699, 12038, 540, 593, 519, 2034, 8783, 521, 30117, 729, 3571, 4527, 267, 3571, 968, 16149, 8783, 521, 30117, 892, 24446, 269, 1656, 1577, 621, 581, 3773, 1934, 602, 519, 3694, 540, 5168, 596, 616, 4189, 1631, 568, 602, 1360, 3694, 540, 3571, 4527, 1107, 3571, 4527, 1101, 1373, 998, 513, 812, 945, 568, 1459, 538, 3571, 5604, 563, 312, 1695, 3333, 7699, 814, 8197, 2907, 2097, 267, 855, 1101, 538, 513, 812, 267, 519, 968, 338, 2869, 527, 540, 5168, 892, 7247, 23968, 3333, 7699, 1767, 1261, 1131, 6494, 538, 519, 7085, 27812, 2085, 630, 11990, 476, 1691, 281, 1626, 268, 1704, 267, 476, 1428, 281, 2918, 267, 543, 476, 1626, 281, 278, 1040, 901, 568, 711, 519, 10513, 13336, 7247, 1261, 1767, 519, 12429, 1131, 6494, 630, 11990, 476, 1691, 281, 2918, 1070, 945, 729, 8197, 2366, 593, 519, 1554, 540, 19999, 1815, 739, 269, 23968, 3333, 7699, 1767, 1261, 13924, 1345, 1131, 6494, 519, 6891, 540, 5168, 547, 581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 866, 1296, 269, 6399, 2085, 729, 476, 1626, 269, 4200, 1296, 22144, 1805, 323, 476, 273, 269, 271, 1296, 267, 609, 11667, 543, 1110, 531, 6502, 540, 476, 1240, 543, 476, 866, 1296, 6606, 269, 23213, 15087, 941, 4686, 538, 519, 476, 272, 560, 8717, 540, 1272, 609, 1152, 835, 2013, 1496, 513, 2013, 540, 4017, 5802, 523, 5448, 538, 513, 476, 280, 1032, 2025, 4775, 4940, 2876, 10999, 267, 5354, 540, 2665, 941, 22480, 476, 30444, 263, 7176, 269, 279, 22103, 8307, 476, 275, 263, 272, 269, 273, 8472, 2665, 941, 23872, 269, 17316, 5802, 523, 5448, 729, 519, 1034, 1455, 27295, 7587, 5024, 476, 3707, 263, 6812, 269, 279, 8472, 2665, 267, 4553, 676, 4017, 24945, 10973, 1689, 8051, 585, 476, 7918, 2665, 630, 1626, 269, 275, 8472, 14073, 6962, 281, 15776, 687, 941, 6140, 22480, 543, 15866, 4017, 549, 14194, 523, 5557, 269, 9282, 23872, 15087, 941, 1360, 4686, 267, 519, 7872, 540, 23872, 2068, 1590, 581, 2808, 538, 519, 11186, 5868, 540, 6089, 13999, 538, 713, 2085, 1895, 563, 21292, 269, 23213, 2527, 282, 6689, 282, 15730, 0, 14240, 540, 24054, 912, 14240, 540, 24054, 538, 513, 21060, 6019, 267, 4993, 5851, 912, 763, 2179, 540, 513, 1753, 781, 1871, 602, 519, 8227, 2965, 22595, 267, 7229, 676, 2921, 519, 4023, 2344, 1871, 630, 30820, 309, 264, 540, 519, 1753, 543, 18946, 519, 2179, 519, 8227, 1869, 7640, 525, 593, 741, 20251, 10211, 269, 24054, 568, 519, 2179, 540, 2724, 596, 1131, 1205, 689, 519, 9042, 540, 513, 1753, 1310, 9878, 1055, 519, 561, 2658, 563, 2080, 568, 513, 14465, 17357, 335, 681, 9680, 1383, 281, 1577, 779, 2161, 513, 1268, 3217, 856, 513, 1269, 7785, 267, 1822, 20251, 547, 4444, 513, 1269, 25616, 267, 1822, 1753, 267, 519, 4090, 519, 3802, 538, 547, 519, 3959, 602, 723, 1269, 7742, 267, 1822, 9698, 543, 621, 786, 2333, 1142, 3923, 607, 789, 1118, 741, 20251, 8569, 676, 519, 3169, 2179, 602, 741, 9030, 3666, 12772, 1107, 14322, 602, 519, 3959, 568, 9444, 1244, 3285, 908, 610, 19825, 269, 2290, 540, 519, 4128, 602, 1004, 4444, 5321, 568, 585, 5092, 4128, 282, 952, 519, 3959, 1141, 547, 7914, 547, 513, 2344, 1871, 540, 1269, 31405, 267, 1822, 519, 8227, 1131, 1631, 723, 1269, 12573, 267, 1822, 9698, 538, 519, 3959, 269, 2368, 21427, 543, 1082, 11555, 3201, 307, 27633, 10378, 538, 21060, 6019, 3494, 602, 1483, 10040, 568, 513, 1732, 543, 10930, 5092, 982, 13632, 610, 824, 19408, 9541, 269, 0, 5978, 15769, 786, 2689, 1018, 596, 4076, 11643, 543, 3313, 2436, 547, 23590, 519, 2376, 12282, 7765, 27429, 781, 14539, 31313, 5358, 543, 938, 2146, 540, 4966, 547, 2744, 513, 2518, 5304, 585, 707, 960, 2336, 30538, 30909, 337, 19476, 30910, 267, 9390, 18665, 30910, 5953, 17304, 17554, 497, 1695, 630, 326, 4261, 28672, 264, 540, 5527, 602, 2882, 782, 540, 5527, 7178, 540, 1325, 11219, 13682, 345, 1695, 17294, 622, 543, 5087, 540, 20173, 476, 2918, 4113, 736, 12664, 715, 269, 8307, 476, 272, 2600, 540, 922, 1858, 568, 20948, 269, 898, 568, 6140, 513, 29415, 1858, 540, 24348, 4224, 971, 607, 14680, 267, 19011, 1645, 476, 10384, 1700, 8517, 3952, 630, 21497, 1700, 25090, 15432, 264, 538, 15038, 543, 24076, 20546, 532, 476, 272, 267, 4335, 3952, 630, 29121, 15432, 1040, 17183, 771, 7611, 2164, 689, 2842, 11761, 593, 519, 6149, 2275, 2642, 22837, 543, 22501, 23617, 269, 7043, 15994, 26797, 540, 6252, 5070, 546, 17480, 2049, 267, 8375, 547, 476, 1220, 3952, 630, 2568, 15432, 264, 538, 519, 4279, 9995, 7256, 14178, 5045, 689, 519, 13961, 11445, 744, 12118, 269, 8752, 4764, 8813, 1152, 2059, 519, 9381, 10750, 267, 855, 11895, 6864, 28875, 1683, 1216, 585, 13961, 11445, 744, 12118, 269, 634, 1627, 3430, 4673, 12870, 10301, 476, 31973, 3952, 630, 15836, 15432, 264, 2630, 4262, 1377, 543, 26328, 476, 278, 267, 1822, 4009, 5195, 630, 1240, 267, 1822, 4009, 5998, 1070, 14178, 5045, 1189, 476, 3374, 5195, 630, 6321, 5998, 264, 689, 519, 5032, 693, 1325, 268, 390, 379, 2704, 600, 599, 333, 563, 763, 17294, 622, 779, 2067, 2200, 1331, 19386, 267, 609, 4610, 693, 1325, 268, 390, 379, 2704, 600, 599, 333, 543, 2806, 19476, 620, 8566, 9618, 5953, 10972, 336, 543, 538, 519, 1627, 3430, 4673, 12870, 267, 543, 2067, 3154, 267, 693, 2806, 19476, 620, 8566, 9618, 5953, 10972, 336, 269, 634, 2551, 568, 13671, 2059, 519, 1507, 9381, 14816, 267, 1141, 4936, 21219, 616, 4092, 267, 543, 538, 13961, 11445, 744, 12118, 269, 589, 16749, 13462, 519, 1507, 16788, 540, 9370, 5953, 8575, 30909, 337, 19476, 30910, 267, 519, 3854, 540, 519, 17294, 622, 267, 543, 1325, 4149, 718, 19476, 332, 547, 28641, 269, 9351, 476, 10037, 267, 8660, 278, 4009, 5195, 630, 18891, 267, 12208, 4009, 5998, 1040, 7377, 269, 630, 1220, 277, 264, 476, 27088, 267, 30130, 563, 9596, 2859, 538, 891, 1644, 27429, 4930, 912, 292, 5118, 267, 2197, 4092, 538, 519, 27040, 7944, 540, 4000, 269, 5527, 779, 2295, 1633, 267, 519, 20407, 5211, 14860, 543, 18232, 267, 729, 519, 1753, 540, 835, 540, 519, 9030, 12977, 540, 519, 3504, 5664, 5101, 543, 267, 899, 27859, 20991, 7532, 267, 729, 519, 3135, 540, 835, 540, 519, 1158, 779, 9998, 4683, 543, 2148, 622, 7239, 269, 1912, 4673, 4577, 7498, 31333, 11445, 744, 12118, 267, 522, 12118, 538, 8575, 30909, 337, 19476, 30910, 18665, 30910, 5953, 17304, 17554, 497, 1695, 14116, 4261, 28672, 1070, 7262, 5527, 269, 898, 6013, 2282, 519, 8644, 12505, 20281, 267, 476, 12573, 5195, 630, 28794, 5998, 264, 7178, 1606, 1926, 8054, 540, 595, 23879, 269, 634, 522, 12118, 568, 476, 277, 5195, 630, 1015, 5998, 264, 1279, 676, 476, 275, 1700, 276, 5195, 630, 277, 1700, 279, 5998, 264, 2647, 543, 814, 827, 476, 1220, 20950, 269, 5565, 4224, 856, 23145, 1186, 1683, 519, 4609, 7498, 304, 3430, 4673, 12870, 267, 25545, 8644, 12505, 19164, 630, 292, 6141, 19300, 15546, 264, 16935, 538, 32720, 5527, 269, 898, 6227, 827, 476, 278, 267, 1822, 4009, 5195, 630, 1240, 267, 1911, 4009, 5998, 264, 543, 3568, 6070, 12647, 543, 23047, 1127, 267, 543, 621, 1784, 1742, 547, 476, 31973, 3952, 630, 15836, 15432, 264, 2630, 4262, 1377, 269, 4438, 2622, 2782, 4083, 267, 1317, 621, 729, 791, 817, 762, 547, 2507, 0, 2691, 10496, 13196, 717, 2246, 1512, 267, 27697, 693, 5244, 32437, 779, 6022, 334, 16114, 334, 13962, 267, 1101, 4280, 1053, 689, 13662, 476, 28434, 547, 2012, 519, 2947, 10366, 267, 519, 1101, 1126, 646, 1572, 593, 8067, 1229, 968, 577, 2354, 1848, 1879, 717, 2246, 1512, 1767, 602, 729, 11234, 267, 3368, 519, 1053, 22485, 741, 3946, 563, 9617, 4374, 2663, 267, 1346, 1482, 1053, 1223, 2012, 782, 540, 519, 10366, 2443, 6653, 267, 30644, 267, 11877, 267, 15280, 267, 543, 1256, 533, 2426, 550, 2443, 543, 789, 1223, 849, 723, 513, 6643, 827, 1018, 5613, 616, 538, 4005, 267, 7064, 547, 513, 476, 1691, 4458, 6040, 1982, 602, 1142, 5239, 6770, 3318, 22730, 883, 10026, 1153, 13460, 585, 1426, 7071, 5049, 563, 763, 17963, 540, 570, 4292, 1982, 267, 6035, 1863, 547, 3506, 676, 519, 1977, 4659, 540, 29879, 543, 5253, 267, 713, 1032, 19610, 827, 476, 273, 267, 1822, 1053, 693, 476, 2420, 2749, 3506, 609, 476, 8287, 14060, 585, 513, 2185, 1606, 11970, 1576, 593, 1426, 267, 6484, 267, 6492, 267, 5986, 267, 543, 519, 13962, 2872, 563, 6524, 519, 13662, 476, 28434, 1053, 10272, 6022, 334, 16114, 334, 267, 4258, 325, 10496, 13196, 1185, 3144, 873, 547, 513, 2199, 3039, 21466, 267, 1141, 789, 25541, 14542, 5613, 543, 5388, 267, 543, 10272, 519, 1153, 7466, 547, 4001, 1426, 6863, 543, 19997, 6194, 563, 312, 16518, 267, 519, 1453, 4298, 1042, 519, 13962, 267, 1500, 4195, 18654, 1228, 267, 1159, 14414, 19146, 15606, 883, 1368, 659, 600, 1961, 267, 543, 9044, 539, 14859, 883, 606, 4432, 25554, 611, 17671, 8670, 1572, 13099, 639, 553, 269, 3973, 789, 2893, 1524, 693, 513, 3349, 789, 8910, 1305, 2933, 543, 10150, 519, 12899, 789, 8910, 5423, 563, 294, 2246, 1512, 5143, 803, 6022, 334, 16114, 334, 1131, 1129, 909, 585, 922, 3791, 17963, 540, 570, 4292, 6278, 1985, 1032, 269, 968, 7069, 5172, 851, 540, 1250, 2816, 568, 2141, 3450, 2223, 646, 1767, 269, 968, 29995, 267, 594, 6557, 3450, 29397, 282, 594, 1810, 1406, 1419, 1205, 547, 4001, 3214, 3034, 763, 1453, 2451, 519, 13962, 804, 583, 4221, 2022, 11568, 1141, 789, 8910, 31163, 16940, 1524, 519, 10346, 585, 13099, 639, 553, 543, 1368, 659, 600, 1961, 269, 1548, 1185, 789, 4121, 286, 968, 25402, 10633, 616, 4829, 1317, 789, 723, 5452, 1848, 968, 2791, 666, 2322, 4829, 538, 19997, 1848, 968, 289, 534, 11446, 5749, 1406, 538, 4005, 1318, 1631, 3034, 2108, 7069, 1053, 723, 4121, 513, 2603, 827, 12725, 6738, 3132, 543, 519, 2956, 540, 4189, 513, 4195, 543, 2635, 2732, 2223, 1767, 519, 1453, 779, 4116, 267, 717, 2088, 2098, 20810, 2006, 269, 2701, 1767, 17963, 540, 570, 4292, 779, 3946, 6823, 267, 23913, 1935, 1797, 891, 4245, 786, 3251, 609, 1200, 1053, 585, 1272, 269, 0, 27028, 5193, 1871, 610, 1110, 1599, 454, 763, 6207, 1871, 630, 528, 29870, 264, 1923, 343, 347, 540, 513, 1483, 1297, 1535, 568, 519, 1875, 24308, 1871, 540, 1535, 1510, 2543, 547, 922, 1129, 269, 8745, 569, 267, 1923, 343, 347, 815, 1535, 585, 513, 2318, 1535, 267, 1923, 343, 347, 815, 6567, 1535, 585, 513, 2942, 1535, 267, 543, 1923, 271, 347, 815, 476, 271, 269, 1280, 1383, 267, 519, 6207, 1871, 540, 476, 274, 568, 476, 274, 267, 543, 519, 6207, 1871, 540, 6567, 274, 568, 849, 476, 274, 269, 634, 6207, 1871, 540, 513, 1297, 949, 581, 2219, 540, 607, 922, 3845, 689, 4642, 563, 20877, 540, 6207, 1871, 540, 1535, 454, 1103, 6128, 267, 519, 12825, 1599, 568, 519, 1599, 608, 267, 1141, 552, 568, 519, 1297, 630, 32191, 476, 273, 269, 278, 1240, 27005, 279, 2764, 264, 971, 602, 519, 1599, 608, 267, 568, 922, 1378, 12045, 269, 634, 12825, 1599, 568, 1031, 547, 2203, 513, 2078, 538, 799, 513, 3586, 1689, 538, 519, 4830, 4756, 3947, 519, 1482, 14354, 1689, 630, 328, 4318, 269, 6871, 2333, 610, 6175, 264, 538, 519, 8200, 4756, 269, 634, 1599, 568, 1419, 2854, 607, 1163, 3287, 1916, 20877, 540, 519, 12825, 1599, 608, 454, 288, 1318, 2587, 1194, 6906, 454, 20877, 338, 540, 16429, 3287, 1070, 15328, 3287, 264, 543, 18000, 3287, 994, 9824, 566, 1063, 26344, 6248, 3252, 0, 763, 2062, 343, 2344, 568, 519, 4102, 543, 1034, 5277, 2883, 2344, 538, 519, 1158, 269, 634, 3328, 3232, 9467, 4320, 568, 607, 1164, 607, 476, 275, 18265, 2475, 9489, 269, 3143, 9872, 666, 13861, 519, 5385, 2557, 1063, 2477, 269, 634, 1239, 7133, 519, 5385, 2557, 616, 9783, 676, 519, 3084, 8128, 269, 634, 11834, 568, 4023, 543, 12001, 269, 8081, 476, 2190, 3108, 267, 570, 266, 271, 267, 1079, 17574, 9467, 267, 4444, 543, 6133, 849, 723, 7443, 3255, 269, 634, 5385, 2557, 4016, 547, 519, 3902, 540, 513, 2197, 781, 9304, 6829, 538, 1776, 2197, 781, 9304, 267, 610, 519, 3902, 1063, 519, 1079, 2477, 262, 19728, 269, 5983, 343, 9467, 568, 2965, 519, 5385, 2557, 585, 9140, 543, 9513, 563, 14813, 1663, 9760, 2062, 343, 2188, 454, 10501, 6275, 666, 581, 9833, 607, 513, 20161, 267, 543, 519, 3902, 540, 513, 20161, 568, 1034, 4299, 676, 519, 2078, 1063, 3761, 543, 3747, 269, 11790, 7133, 519, 2078, 1063, 2724, 3761, 543, 3747, 1519, 3844, 4871, 13075, 3609, 267, 3084, 2804, 3510, 267, 23786, 3510, 267, 2067, 12469, 267, 3092, 269, 634, 3902, 540, 513, 20161, 11385, 919, 1472, 519, 1871, 540, 513, 20161, 269, 634, 17271, 1871, 540, 513, 2197, 781, 9304, 568, 5462, 676, 519, 2197, 781, 5491, 543, 2804, 2175, 267, 543, 568, 10630, 538, 519, 2197, 781, 2804, 1239, 269, 7767, 832, 666, 946, 519, 2804, 1239, 540, 1585, 2477, 547, 9794, 519, 7678, 540, 519, 5385, 2557, 269, 0, 2467, 616, 2810, 12503, 593, 9945, 547, 1118, 741, 20021, 4712, 585, 1272, 543, 960, 267, 538, 1840, 547, 4180, 2930, 543, 3318, 16169, 269, 901, 3184, 11828, 519, 6286, 540, 5885, 971, 606, 1935, 585, 2362, 2069, 538, 513, 6280, 538, 5245, 1141, 519, 6280, 729, 5701, 607, 606, 4683, 2713, 2978, 267, 5885, 2875, 6278, 585, 513, 1576, 3048, 730, 547, 3382, 1614, 1114, 10459 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2111, 547, 5838, 1447, 563, 1607, 5267, 602, 519, 10637, 649, 616, 7487, 568, 2693, 547, 979, 2476, 538, 513, 1906, 1296, 267, 2899, 519, 6855, 568, 1732, 896, 1852, 630, 528, 3116, 4389, 547, 513, 1007, 14798, 1141, 519, 3644, 568, 2141, 972, 855, 649, 1451, 547, 2661, 609, 621, 1916, 3719, 594, 1810, 1406, 1589, 519, 2360, 593, 519, 4074, 2344, 786, 581, 865, 1098, 7480, 269, 634, 16716, 543, 844, 1080, 649, 4076, 1044, 7487, 25015, 2731, 616, 693, 513, 8978, 1377, 267, 543, 789, 616, 2693, 547, 723, 513, 1279, 18835, 1198, 593, 875, 960, 568, 6896, 269, 14146, 619, 616, 3443, 10107, 827, 2348, 547, 6318, 13848, 543, 627, 1456, 827, 875, 968, 7224, 835, 6499, 547, 960, 892, 630, 26074, 267, 540, 1576, 267, 1100, 835, 6499, 547, 960, 693, 519, 1699, 13230, 543, 2175, 593, 2709, 1040, 634, 2953, 3210, 568, 519, 835, 689, 6153, 325, 749, 553, 1496, 331, 4833, 9963, 14073, 2690, 519, 1101, 942, 538, 5756, 267, 972, 616, 2965, 811, 2816, 7477, 17473, 982, 32014, 4600, 912, 1607, 1797, 602, 519, 7515, 723, 5828, 269, 634, 29541, 1379, 568, 10393, 538, 519, 3946, 540, 4600, 1586, 267, 1310, 1373, 538, 519, 3946, 540, 12820, 585, 607, 1279, 607, 594, 4076, 1044, 9800, 269, 2986, 1576, 621, 779, 7543, 547, 917, 2436, 930, 824, 8710, 1223, 6556, 1776, 30729, 282, 855, 585, 1631, 267, 621, 5654, 899, 649, 616, 6368, 593, 519, 2357, 613, 540, 2101, 2242, 538, 875, 4074, 6990, 7500, 11652, 594, 585, 835, 1589, 621, 779, 827, 942, 563, 2005, 4667, 899, 606, 19838, 2958, 1190, 896, 8063, 618, 547, 2161, 602, 519, 2063, 7008, 540, 1296, 723, 1044, 8966, 269, 634, 5046, 268, 866, 6855, 729, 8978, 267, 13380, 538, 3463, 1765, 2288, 711, 538, 6364, 23121, 519, 476, 4489, 279, 14798, 6855, 563, 4263, 713, 1448, 621, 5654, 899, 649, 949, 711, 581, 2111, 547, 4628, 30817, 5046, 269, 1656, 972, 616, 1869, 1082, 4025, 1472, 519, 1158, 1141, 14726, 540, 519, 3644, 3136, 547, 3262, 269, 594, 13948, 993, 513, 3787, 14126, 827, 519, 2487, 10006, 538, 519, 5177, 282, 621, 1522, 1039, 930, 9465, 630, 553, 952, 594, 2877, 1022, 811, 264, 547, 1250, 1847, 547, 25470, 269, 8616, 1256, 538, 2182, 3620, 527, 4025, 899, 3127, 543, 8478, 1919, 616, 4358, 547, 1205, 1732, 269, 15788, 267, 621, 4667, 899, 519, 10782, 568, 936, 563, 1607, 6855, 22314, 938, 2486, 538, 865, 1082, 2081, 267, 1390, 543, 1507, 267, 543, 649, 616, 1869, 23115, 856, 1018, 519, 1279, 3856, 4539, 786, 581, 563, 3719, 607, 606, 30168, 267, 835, 540, 519, 1919, 594, 1336, 1034, 8966, 568, 602, 713, 21748, 3514, 7464, 6355, 18888, 3069, 563, 18600, 6355, 18888, 3069, 630, 1156, 576, 1721, 628, 681, 6195, 264, 29102, 602, 12424, 687, 616, 3361, 676, 2942, 2029, 28654, 799, 1267, 538, 513, 6727, 6749, 538, 4074, 3761, 267, 4227, 7694, 543, 3977, 269, 901, 568, 3622, 5916, 609, 10427, 6310, 9781, 630, 9169, 12283, 610, 717, 307, 23859, 1070, 543, 621, 3335, 5012, 547, 519, 3932, 602, 519, 21748, 568, 6099, 543, 649, 1058, 798, 4986, 547, 2953, 621, 630, 6518, 729, 1310, 782, 519, 3312, 8404, 540, 519, 3003, 3069, 9789, 344, 4769, 1406, 899, 519, 6304, 626, 3609, 8753, 540, 3223, 2106, 14198, 3631, 1040, 17968, 621, 1223, 2303, 602, 267, 952, 649, 666, 267, 649, 1058, 2119, 547, 26544, 547, 3132, 513, 2318, 2029, 8710, 630, 8117, 18864, 779, 2731, 2386, 875, 547, 798, 602, 1916, 2690, 513, 6093, 21748, 267, 713, 568, 19039, 20060, 1619, 269, 898, 568, 6654, 547, 4896, 945, 30128, 547, 1413, 602, 2101, 12424, 687, 899, 519, 4279, 12870, 543, 519, 4279, 1234, 20896, 941, 3361, 676, 513, 3668, 540, 4074, 3747, 267, 711, 3761, 269, 1703, 568, 1100, 7805, 2029, 8710, 547, 2014, 2901, 21748, 269, 5502, 267, 789, 3100, 547, 581, 840, 857, 696, 7007, 676, 513, 2883, 6433, 267, 799, 1287, 3123, 513, 6433, 540, 28880, 799, 5012, 547, 513, 18746, 18700, 540, 2482, 26160, 4227, 7836, 543, 4929, 811, 2482, 26160, 269, 7085, 687, 540, 1004, 6336, 741, 6009, 543, 1831, 26525, 547, 1265, 1007, 3283, 267, 609, 7366, 540, 1004, 7311, 547, 1142, 6679, 269, 681, 6195, 25221, 513, 17732, 540, 4074, 1141, 972, 568, 3079, 513, 22965, 269, 681, 6195, 25221, 602, 13848, 1058, 979, 909, 538, 12424, 687, 28559, 789, 3592, 2141, 979, 1524, 563, 3719, 585, 519, 5046, 268, 866, 21748, 267, 681, 6195, 2965, 1185, 930, 5168, 547, 621, 269, 1284, 1185, 1945, 1360, 1454, 899, 513, 2942, 2029, 8710, 1765, 4067, 569, 519, 6855, 269, 5046, 268, 866, 7494, 2799, 519, 1942, 540, 2324, 543, 519, 1942, 540, 10918, 269, 901, 3366, 547, 513, 5786, 538, 4074, 3747, 607, 8912, 267, 855, 849, 513, 5786, 538, 4074, 3761, 585, 2899, 269, 1656, 1247, 649, 1705, 979, 998, 513, 5123, 538, 799, 7366, 540, 1004, 4294, 547, 1142, 1007, 6679, 267, 649, 1287, 4553, 621, 909, 609, 513, 4074, 17732, 543, 8375, 13848, 269, 589, 2887, 538, 4074, 3761, 1058, 1711, 10637, 267, 543, 649, 1631, 723, 519, 5207, 10637, 649, 4076, 1185, 538, 5756, 28559, 972, 779, 1434, 2601, 547, 1589, 621, 779, 1175, 513, 1098, 7480, 21782, 602, 786, 4166, 7017, 1394, 547, 3339, 563, 1607, 2306, 621, 519, 9868, 602, 18327, 519, 4341, 281, 3767, 602, 596, 4076, 2938, 513, 21748, 602, 2965, 20998, 681, 6195, 267, 596, 666, 1294, 1175, 875, 32753, 1114, 621, 729, 689, 513, 6093, 21748, 563, 11101, 267, 1256, 538, 713, 20868, 21748, 519, 8912, 3609, 8753, 689, 681, 6195, 616, 1055, 1532, 848, 269, 898, 1131, 723, 1044, 29070, 547, 609, 3835, 519, 2804, 8323, 11033, 30147, 594, 6557, 6126, 547, 2161, 1256, 1034, 25743, 7691, 269, 634, 835, 3364, 602, 681, 6195, 3893, 1318, 607, 2484, 607, 3609, 568, 602, 513, 2318, 2029, 8710, 729, 938, 20778, 1765, 341, 3147, 1149, 563, 29012, 267, 1247, 519, 2014, 540, 713, 21748, 729, 1360, 9490, 543, 711, 1018, 3223, 2106, 14198, 3631, 941, 2966, 547, 6023, 267, 938, 2229, 7361, 4553, 3223, 2106, 14198, 3609, 5796, 11652, 621, 5249, 269, 1284, 10443, 7372, 2229, 22907, 1765, 1478, 1269, 274, 18265, 538, 476, 1708, 271, 11652, 519, 1267, 729, 4028, 6051, 538, 7082, 7836, 543, 1287, 7694, 269, 594, 25473, 9327, 1406, 723, 2219, 938, 2229, 1185, 519, 2797, 786, 547, 2196, 513, 17211, 899, 602, 267, 1256, 950, 519, 2804, 3631, 5143, 873, 789, 1058, 282, 855, 594, 6557, 1360, 19914, 547, 581, 4636, 269, 1284, 10443, 519, 5458, 17211, 1175, 607, 519, 3631, 1767, 649, 1058, 11652, 621, 5249, 269, 594, 4898, 875, 519, 476, 1001, 271, 338, 1522, 723, 8854, 8335, 1185, 649, 2944, 519, 1482, 1310, 476, 1220, 279, 563, 296, 1810, 1406, 1589, 972, 616, 1082, 1004, 945, 1131, 2161, 602, 476, 1708, 271, 729, 741, 5172, 1032, 269, 4634, 952, 3388, 3116, 1185, 8854, 1318, 267, 519, 476, 272, 269, 278, 2929, 7972, 689, 519, 5046, 6855, 1131, 2907, 1118, 713, 513, 1360, 3983, 1032, 563, 4517, 713, 8285, 4005, 6157, 5433, 3833, 1114, 267, 609, 1034, 540, 721, 8572, 547, 9108, 2951, 543, 7142, 547, 2170, 609, 938, 3885, 1152, 3842, 3381, 7125, 269, 1715, 5729, 779, 713, 1032, 4465, 1406, 1745, 899, 513, 11812, 540, 513, 3811, 1032, 865, 1454, 607, 8323, 602, 649, 6368, 1500, 621, 998, 563, 6624, 540, 721, 723, 4503, 6068, 3283, 269, 18641, 9039, 540, 1250, 7525, 2828, 543, 1920, 723, 5747, 540, 5046, 267, 855, 594, 666, 1631, 1293, 3368, 513, 18797, 29872, 1734, 267, 2828, 6361, 1922, 12188, 610, 11397, 14077, 945, 616, 1100, 3476, 609, 721, 269, 1656, 594, 4076, 1044, 5266, 18822, 2949, 282, 1312, 594, 543, 1250, 7649, 960, 538, 6009, 602, 616, 2653, 547, 798, 20716, 267, 865, 938, 2729, 10093, 1406, 1185, 547, 1689, 782, 602, 1454, 563, 21953, 476, 1708, 271, 568, 5176, 936, 267, 543, 2907, 972, 616, 4191, 602, 1919, 2731, 786, 1205, 1732, 538, 476, 1708, 272, 269, 1703, 616, 1082, 1434, 4128, 585, 4126, 563, 763, 1352, 10134, 7219, 1198, 568, 519, 8343, 602, 519, 2333, 538, 4747, 689, 4271, 908, 689, 2852, 1310, 2185, 1296, 267, 3448, 2469, 998, 2852, 585, 1614, 1296, 267, 568, 1454, 2362, 982, 519, 2333, 538, 4747, 689, 3274, 2469, 998, 2852, 585, 1614, 1296, 3079, 540, 1079, 563, 1103, 1312, 3631, 267, 649, 3580, 8263, 602, 6990, 616, 8013, 855, 7607, 568, 711, 2047, 28507, 267, 865, 12820, 4990, 596, 1759, 593, 707, 2069, 1377, 543, 1287, 2628, 513, 13230, 3160, 547, 519, 3328, 7607, 540, 1004, 693, 707, 2069, 1377, 267, 9104, 730, 585, 519, 1942, 540, 3478, 602, 2069, 563, 1103, 713, 2203, 267, 1004, 782, 1376, 609, 519, 1482, 7607, 267, 543, 616, 14477, 8655, 676, 741, 1272, 6381, 547, 979, 547, 2901, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 610, 476, 275, 1296, 540, 2852, 269, 5441, 3294, 814, 1100, 1279, 3856, 1942, 563, 763, 1101, 1032, 540, 2852, 596, 1451, 513, 2603, 267, 519, 1985, 7008, 540, 1296, 596, 1810, 1406, 1451, 1454, 1317, 596, 2461, 3843, 547, 1265, 707, 1259, 267, 543, 1287, 538, 519, 2063, 1032, 540, 2852, 596, 1451, 513, 2603, 540, 7463, 1983, 602, 2047, 2333, 707, 7607, 563, 3383, 713, 568, 707, 7607, 1310, 1535, 1296, 540, 2852, 912, 312, 8986, 540, 2852, 454, 2171, 10924, 602, 596, 8910, 1205, 6976, 707, 7607, 267, 865, 891, 616, 849, 707, 13848, 563, 763, 2333, 538, 4747, 1142, 1032, 4422, 689, 1341, 278, 267, 547, 1341, 276, 267, 547, 1341, 274, 267, 1287, 26357, 909, 547, 1341, 277, 269, 1924, 952, 596, 5635, 519, 476, 275, 4458, 15902, 639, 268, 274, 4458, 7934, 22791, 277, 264, 609, 519, 476, 274, 4458, 15902, 639, 268, 273, 4458, 7934, 22791, 274, 1070, 596, 1205, 513, 1352, 10134, 7219, 1198, 563, 1103, 713, 2203, 267, 2852, 568, 24631, 543, 2488, 1100, 4890, 2640, 269, 4658, 4268, 538, 741, 17271, 7607, 267, 799, 568, 849, 2047, 17047, 609, 519, 7411, 540, 1818, 621, 998, 2852, 563, 1103, 1880, 267, 972, 616, 2947, 2010, 540, 1004, 912, 21798, 829, 1032, 540, 2852, 454, 763, 13848, 585, 1114, 2157, 540, 2852, 2069, 616, 607, 5205, 912, 312, 8986, 540, 2852, 454, 30860, 602, 891, 616, 4010, 519, 1482, 13848, 607, 538, 9183, 476, 272, 269, 901, 568, 540, 1576, 7357, 18532, 269, 769, 513, 4090, 594, 3580, 1397, 1946, 713, 568, 513, 27850, 11466, 563, 13706, 519, 3903, 540, 875, 1082, 1296, 540, 2852, 547, 7390, 269, 1411, 917, 707, 1826, 267, 865, 596, 917, 519, 1942, 540, 2852, 547, 596, 269, 1411, 1616, 547, 11694, 707, 2121, 4324, 267, 799, 568, 519, 13230, 596, 3580, 1205, 14263, 519, 2698, 1942, 540, 2469, 547, 2852, 563, 4131, 779, 8263, 602, 952, 513, 2016, 1032, 540, 2852, 3884, 1406, 4502, 621, 267, 596, 4465, 1406, 2119, 547, 3136, 2250, 621, 543, 1294, 952, 811, 1131, 581, 563, 2690, 513, 1826, 268, 271, 1268, 267, 789, 1223, 1205, 476, 1015, 676, 711, 2469, 547, 2852, 693, 782, 267, 610, 476, 1704, 24179, 272, 7565, 279, 264, 815, 476, 280, 676, 2469, 585, 476, 272, 1032, 267, 865, 789, 3247, 563, 2690, 513, 1826, 268, 272, 1268, 267, 789, 1223, 1205, 476, 1015, 676, 711, 2469, 547, 2852, 693, 782, 267, 610, 476, 1704, 24179, 272, 7565, 277, 264, 815, 476, 1556, 676, 2469, 585, 476, 272, 1032, 267, 610, 476, 2420, 24179, 273, 7565, 277, 264, 815, 476, 1015, 676, 2469, 585, 476, 273, 1296, 267, 865, 789, 3247, 563, 293, 3739, 856, 782, 519, 7399, 11729, 713, 3349, 912, 312, 8986, 1422, 7392, 454, 296, 8910, 2965, 899, 547, 1448, 856, 602, 621, 729, 1454, 9875, 547, 1265, 2338, 602, 4847, 803, 547, 1118, 519, 1352, 10134, 7219, 1198, 960, 538, 519, 2034, 2203, 267, 1141, 2069, 729, 782, 15202, 269, 769, 519, 2203, 1141, 2069, 2488, 9758, 4324, 267, 782, 594, 991, 547, 798, 568, 27082, 602, 519, 2063, 1032, 540, 2852, 568, 3226, 3407, 630, 704, 4257, 1317, 1164, 7400, 7463, 6030, 616, 811, 6225, 547, 7607, 1040, 594, 1223, 7168, 1454, 4268, 602, 9936, 2705, 594, 4941, 267, 543, 1205, 8726, 9588, 540, 1352, 10134, 7219, 1198, 594, 8359, 563, 2690, 519, 15202, 2203, 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, 13328, 2717, 1470, 4303, 476, 1708, 272, 281, 5700, 6249, 543, 1946, 621, 568, 9976, 593, 5239, 476, 2190, 454, 13328, 2717, 1470, 4303, 568, 9976, 1169, 1032, 593, 476, 2190, 5239, 269, 898, 729, 15748, 676, 15585, 776, 4139, 936, 513, 8717, 3516, 547, 29428, 519, 4332, 540, 13744, 553, 590, 1779, 267, 945, 2919, 513, 6669, 1996, 1135, 328, 3912, 601, 4345, 563, 13328, 2717, 1470, 4303, 476, 1708, 272, 27484, 281, 968, 3080, 4303, 269, 2290, 10312, 281, 7736, 532, 2717, 1470, 1107, 12419, 593, 938, 9153, 540, 513, 29887, 6954, 1158, 28461, 8196, 540, 30737, 17300, 1135, 328, 21552, 6669, 543, 2661, 5711, 1135, 328, 21552, 6669, 3366, 547, 519, 10661, 540, 519, 6820, 2717, 1470, 661, 2784, 1709, 19541, 630, 294, 14154, 296, 264, 538, 476, 2735, 279, 269, 898, 568, 513, 1857, 17376, 10675, 11450, 2882, 15585, 776, 267, 519, 2622, 2657, 25944, 630, 21766, 1070, 519, 772, 2529, 269, 2578, 637, 585, 8376, 6513, 543, 10644, 267, 6167, 32019, 267, 519, 9291, 1299, 9253, 25475, 27176, 7690, 267, 543, 6608, 540, 519, 2477, 563, 303, 10008, 3912, 601, 4345, 630, 31673, 1470, 264, 568, 513, 3810, 11763, 10194, 2068, 267, 799, 5631, 5540, 1762, 1453, 630, 8974, 2947, 1296, 540, 2085, 1040, 634, 3644, 568, 10299, 676, 1268, 3562, 16512, 3262, 5631, 998, 519, 3655, 1815, 531, 268, 7394, 8905, 610, 267, 1447, 4749, 267, 676, 513, 1455, 6174, 630, 324, 3052, 269, 13572, 1216, 610, 1426, 264, 543, 12750, 625, 538, 519, 16892, 267, 689, 1141, 621, 666, 4283, 519, 8401, 1062, 543, 666, 2014, 26900, 563, 22873, 658, 2589, 616, 8611, 267, 9854, 267, 15677, 267, 13481, 267, 20765, 540, 519, 8405, 543, 1928, 538, 519, 17873, 269, 476, 272, 538, 476, 1220, 5563, 5012, 547, 26464, 26900, 630, 17141, 538, 519, 7953, 1040, 7324, 1346, 1612, 26087, 539, 267, 476, 276, 260, 547, 476, 1015, 260, 5884, 950, 741, 7244, 6091, 1831, 1875, 10818, 531, 563, 2467, 568, 1100, 10826, 267, 855, 2922, 543, 2500, 10074, 616, 972, 269, 2717, 1470, 666, 581, 15286, 998, 31331, 269, 2717, 1470, 6669, 568, 2016, 2789, 2053, 267, 3592, 2141, 14014, 513, 1126, 585, 1272, 269, 634, 4640, 547, 30817, 29887, 568, 4061, 1759, 593, 7303, 3968, 676, 6375, 1944, 1169, 1126, 2394, 6771, 13515, 543, 519, 1158, 568, 29887, 6954, 269, 1703, 616, 1079, 2010, 540, 6669, 547, 6604, 3968, 563, 268, 744, 11901, 630, 302, 1537, 2717, 1470, 28404, 2567, 898, 568, 2016, 30375, 607, 513, 4332, 9570, 585, 12250, 5838, 625, 267, 1287, 3119, 1614, 13066, 693, 476, 277, 267, 476, 1015, 1299, 476, 1691, 4374, 543, 835, 26259, 9570, 693, 476, 1626, 268, 2190, 3275, 540, 2085, 563, 268, 769, 915, 762, 2717, 1470, 28404, 630, 7709, 309, 2567, 5565, 27847, 13066, 616, 2016, 693, 476, 277, 543, 476, 1691, 4374, 540, 2085, 676, 2271, 2784, 1069, 531, 8905, 593, 519, 1318, 5580, 6186, 563, 297, 2002, 3948, 676, 14959, 268, 7419, 32019, 268, 4629, 307, 14473, 593, 2622, 2717, 1470, 4303, 454, 9213, 607, 519, 1158, 16033, 919, 2622, 2717, 1470, 4303, 609, 519, 6249, 267, 968, 3080, 4303, 269, 2290, 10312, 281, 7736, 532, 2717, 1470, 1107, 12419, 593, 938, 9153, 540, 513, 29887, 6954, 1158, 256, 5608, 543, 18629, 31782, 513, 18487, 29887, 12674, 630, 333, 8008, 309, 273, 264, 5859, 267, 649, 1107, 519, 2622, 2657, 9257, 630, 21766, 1070, 6167, 32019, 543, 681, 5588, 14473, 1107, 556, 3530, 3305, 938, 7029, 547, 3136, 12419, 593, 938, 9153, 540, 513, 29887, 6954, 1158, 585, 1699, 543, 2104, 5481, 563, 1103, 476, 2735, 279, 267, 519, 1158, 8149, 547, 30817, 3552, 29887, 3644, 267, 543, 2221, 267, 2947, 856, 540, 3670, 14959, 4525, 616, 14468, 1863, 540, 3552, 29887, 3644, 267, 609, 3552, 29887, 3644, 4080, 1152, 689, 1079, 21049, 2477, 267, 15787, 543, 9031, 269, 5565, 2665, 540, 3552, 29887, 3644, 1826, 476, 272, 941, 4080, 11451, 607, 540, 4571, 268, 19751, 476, 1708, 272, 3379, 609, 476, 10219, 585, 519, 1482, 1974, 538, 476, 1708, 271, 563, 4002, 476, 1839, 4864, 476, 1708, 271, 267, 519, 4830, 4000, 13636, 27872, 8189, 630, 2752, 6717, 264, 585, 2717, 1470, 661, 2784, 1709, 13166, 10294, 602, 519, 14959, 3979, 16323, 602, 13054, 476, 5325, 4759, 2829, 568, 1863, 540, 3552, 1135, 328, 21552, 630, 310, 11901, 1916, 15987, 476, 4200, 269, 280, 829, 1298, 540, 29887, 814, 1044, 530, 21317, 856, 609, 519, 5711, 29887, 6669, 267, 538, 4686, 2665, 950, 711, 2614, 1453, 616, 6603, 267, 824, 3029, 540, 519, 3644, 3136, 547, 32694, 269, 1677, 7753, 713, 267, 2221, 18629, 31782, 513, 18487, 29887, 12674, 5859, 609, 519, 562, 8008, 309, 273, 6669, 13389, 936, 476, 1704, 2929, 896, 19317, 1453, 547, 948, 1439, 519, 10009, 540, 782, 3029, 540, 29887, 3644, 563, 763, 5859, 786, 581, 5342, 538, 782, 4525, 540, 519, 2197, 593, 476, 2420, 268, 1839, 5239, 476, 1708, 272, 269, 17261, 20788, 786, 1847, 689, 2777, 547, 2777, 585, 713, 5859, 267, 543, 786, 849, 946, 10151, 6378, 4609, 538, 13122, 585, 24323, 19774, 1004, 630, 2839, 303, 13122, 264, 543, 18302, 2127, 563, 2026, 649, 29428, 2622, 2717, 1470, 4303, 543, 10131, 519, 18487, 5859, 267, 649, 556, 3530, 3305, 938, 26772, 7029, 547, 3136, 2324, 609, 519, 6554, 540, 18629, 547, 2327, 602, 1169, 1126, 10876, 568, 18764, 547, 3247, 519, 10009, 540, 6669, 23402, 29887, 3644, 538, 18629, 563, 763, 6820, 2717, 1470, 661, 2784, 1709, 19541, 630, 294, 14154, 296, 264, 5170, 547, 1404, 513, 2565, 1909, 538, 8165, 1135, 328, 3912, 601, 4345, 5001, 269, 2755, 519, 5046, 268, 866, 6855, 814, 2322, 12374, 593, 29887, 16701, 1709, 543, 824, 6626, 1072, 3853, 693, 1981, 267, 4245, 19927, 689, 1296, 540, 7598, 519, 29887, 10872, 786, 711, 1152, 948, 2844, 519, 1713, 3356, 1500, 855, 849, 3565, 547, 5627, 519, 5046, 268, 866, 6855, 267, 543, 14304, 1072, 1949, 547, 16641, 2147, 6937, 563, 763, 11141, 3356, 538, 18629, 1131, 711, 723, 1044, 2009, 1510, 519, 5718, 540, 519, 15337, 1014, 12080, 540, 2657, 267, 519, 7029, 540, 4395, 1467, 4600, 543, 519, 21464, 1489, 540, 29887, 4891, 971, 607, 519, 9291, 543, 9253, 25475, 27176, 7690, 267, 519, 2475, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 1070, 7330, 2839, 267, 595, 10135, 6395, 14727, 16800, 6828, 543, 824, 6375, 3074, 4891, 563, 2026, 649, 24973, 29428, 2622, 2717, 1470, 4303, 609, 519, 835, 4458, 16683, 540, 519, 14959, 3979, 16323, 779, 13995, 607, 3552, 1135, 328, 21552, 1863, 267, 649, 1289, 593, 519, 6554, 540, 18629, 543, 938, 31331, 4891, 547, 6443, 721, 538, 14120, 519, 3356, 649, 723, 15217, 1500, 865, 2484, 543, 556, 3530, 15256, 938, 4745, 7029, 547, 1439, 29887, 10876, 269, 0, 26199, 4661, 566, 543, 17841, 3450, 281, 4635, 13972, 547, 4001, 2257, 538, 1614, 1647, 17469, 13460, 454, 8601, 3376, 13618, 593, 519, 1871, 540, 4928, 13972, 585, 5009, 3621, 4661, 566, 267, 13253, 723, 7153, 538, 519, 3332, 3823, 519, 4110, 547, 799, 3610, 1058, 3391, 519, 13972, 545, 1184, 630, 323, 658, 690, 545, 18879, 1040, 1284, 946, 519, 7828, 540, 17841, 3450, 547, 4983, 875, 835, 4116, 4188, 338, 1010, 6044, 547, 6536, 13972, 538, 1614, 1647, 17469, 2257, 13460, 269, 16792, 16135, 3069, 547, 4928, 3866, 9233, 543, 4116, 5967, 1239, 267, 649, 4983, 519, 6422, 16799, 540, 519, 4116, 781, 936, 31186, 3804, 543, 4090, 3562, 2173, 30291, 24099, 6663, 547, 1174, 10593, 538, 1010, 13972, 545, 18879, 269, 3776, 4681, 9414, 519, 1871, 540, 32215, 532, 30506, 547, 1053, 262, 30095, 3206, 950, 5356, 5583, 547, 3610, 827, 950, 543, 875, 547, 1489, 1053, 538, 9263, 2861, 12819, 13972, 563, 21026, 8054, 7690, 585, 4437, 32441, 3194, 454, 323, 658, 690, 545, 3450, 267, 17841, 3450, 267, 3621, 4661, 566, 454, 15812, 21634, 2023, 267, 12253, 631, 269, 2274, 9109, 267, 19626, 1546, 5487, 623, 1794, 267, 543, 23759, 517, 30215, 269, 834, 26199, 4661, 566, 543, 17841, 3450, 281, 4635, 13972, 547, 4001, 2257, 538, 1614, 1647, 17469, 13460, 257, 3163, 4065, 630, 1708, 273, 2567, 476, 13670, 275, 268, 15389, 275, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 273, 4882, 576, 269, 24241, 2412, 0, 2252, 519, 10549, 31199, 4749, 1510, 7050, 8833, 267, 616, 22224, 543, 12699, 267, 713, 949, 581, 513, 1129, 540, 27131, 12263, 269, 630, 15862, 281, 3212, 5028, 11721, 582, 16288, 2593, 994, 5278, 1004, 10393, 1995, 18473, 4745, 1928, 267, 3750, 21422, 543, 9636, 1282, 30614, 1310, 20408, 606, 11763, 2068, 269, 634, 2014, 538, 971, 2665, 568, 1419, 513, 865, 10777, 19535, 12263, 269, 18748, 539, 2043, 616, 1419, 3648, 15176, 676, 519, 2589, 269, 898, 568, 711, 16613, 585, 519, 2589, 547, 3356, 547, 513, 5312, 3942, 563, 3725, 5562, 12263, 4386, 1310, 513, 3105, 3968, 543, 568, 10483, 676, 2589, 971, 607, 23443, 9374, 267, 31792, 26628, 267, 4745, 6553, 630, 2865, 569, 1804, 10549, 264, 543, 824, 12982, 3157, 269, 16164, 2242, 666, 849, 581, 1459, 269, 634, 22983, 13596, 9594, 606, 16991, 5114, 538, 519, 4761, 1062, 267, 799, 5012, 547, 6553, 538, 1585, 2694, 540, 519, 11248, 1107, 621, 568, 4061, 606, 16991, 2068, 563, 763, 2589, 941, 8385, 1572, 5651, 24650, 1234, 3438, 610, 1234, 3438, 781, 2068, 1310, 922, 1167, 913, 17243, 17713, 1234, 3438, 630, 6642, 272, 268, 3422, 280, 1070, 855, 1317, 540, 1010, 9525, 538, 519, 12059, 25415, 267, 713, 2012, 568, 711, 538, 946, 2221, 269, 7351, 2564, 4408, 616, 19535, 12263, 267, 18212, 9964, 8611, 267, 8650, 1148, 7781, 22854, 1143, 267, 23443, 628, 549, 268, 665, 25222, 1606, 2106, 990, 658, 6794, 267, 3768, 27075, 7007, 23731, 24763, 267, 12263, 7988, 10938, 3821, 610, 2022, 10938, 12792, 19535, 12263, 563, 288, 26327, 616, 6140, 7820, 2367, 543, 1004, 609, 513, 2027, 2627, 4183, 593, 519, 2281, 1572, 670, 6369, 5174, 476, 2767, 269, 2991, 24931, 16891, 27695, 267, 669, 31779, 807, 267, 25243, 8611, 267, 610, 16063, 5563, 609, 4551, 971, 607, 962, 619, 27091, 267, 8805, 2643, 14385, 267, 27187, 267, 543, 1744, 580, 7578, 267, 4299, 2043, 1020, 606, 16991, 5114, 602, 5012, 547, 6553, 538, 1585, 2694, 540, 519, 1560, 269, 901, 556, 794, 666, 1376, 909, 547, 1614, 4374, 1310, 519, 3355, 3968, 543, 519, 3312, 13596, 616, 1100, 3476, 3238, 267, 855, 519, 4761, 8878, 19451, 569, 2982, 606, 27105, 5114, 563, 763, 2126, 3681, 585, 19535, 12263, 616, 3908, 547, 10970, 11868, 519, 2589, 267, 17929, 865, 10777, 1875, 268, 3122, 18042, 4550, 13611, 5061, 630, 301, 6347, 31312, 264, 616, 1419, 1031, 547, 1521, 519, 4745, 20286, 267, 855, 519, 946, 540, 9729, 529, 821, 666, 849, 581, 2808, 269, 769, 28571, 1755, 15797, 267, 4411, 3156, 538, 1880, 723, 8810, 2500, 1996, 4745, 1928, 269, 3371, 519, 4672, 8602, 689, 519, 2039, 540, 519, 8652, 1492, 2805, 568, 547, 581, 5018, 267, 883, 799, 519, 9757, 10549, 585, 5111, 476, 1789, 7643, 616, 4371, 267, 538, 1840, 267, 5393, 4411, 14771, 525, 666, 1683, 8323, 269, 14904, 609, 1164, 1973, 840, 516, 267, 2705, 267, 1058, 581, 6297, 609, 519, 4411, 3156, 269, 1403, 2556, 267, 1101, 5077, 609, 741, 4387, 563, 289, 987, 532, 538, 513, 12826, 540, 4672, 1216, 666, 581, 1031, 547, 1521, 4745, 1928, 267, 855, 713, 568, 711, 5078, 585, 782, 2550, 543, 568, 1152, 585, 10835, 8323, 269, 630, 15862, 281, 513, 330, 592, 600, 520, 807, 340, 11721, 582, 16288, 2593, 994, 5415, 982, 476, 2004, 2600, 540, 24412, 616, 1863, 540, 2589, 1310, 3670, 3275, 693, 519, 5767, 267, 855, 538, 3592, 835, 3791, 540, 2665, 513, 5312, 1106, 540, 519, 2068, 10953, 602, 3340, 1279, 3856, 6646, 269, 1290, 4124, 610, 9434, 3441, 666, 849, 2049, 952, 11105, 3889, 693, 519, 4745, 610, 538, 519, 3750, 616, 16091, 610, 1785, 12147, 12012, 269, 0, 1103, 713, 3391, 267, 649, 786, 581, 7234, 519, 1655, 2853, 585, 10647, 2208, 6901, 267, 543, 875, 789, 666, 948, 4213, 3035, 741, 2208, 3853, 563, 294, 9512, 6901, 616, 513, 9836, 1935, 547, 4152, 1007, 2093, 543, 19165, 547, 948, 4213, 1332, 269, 1452, 6901, 4125, 3384, 543, 7598, 1007, 2994, 267, 3157, 267, 543, 12485, 547, 1294, 875, 789, 1860, 513, 2754, 781, 1883, 14573, 269, 1358, 666, 581, 5342 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6624, 3046, 1499, 7749, 11825, 616, 1360, 1434, 12372, 543, 798, 1390, 1919, 538, 4543, 1346, 945, 616, 1007, 547, 519, 15908, 269, 1306, 596, 782, 917, 267, 649, 1491, 782, 2010, 689, 1346, 945, 941, 538, 1908, 326, 5573, 2516, 547, 1346, 945, 1175, 3323, 13465, 538, 519, 17643, 519, 1554, 1354, 789, 4951, 909, 585, 31667, 531, 1107, 543, 1312, 616, 1390, 256, 1284, 991, 782, 540, 602, 1995, 547, 1118, 721, 1018, 649, 616, 267, 547, 1118, 938, 32711, 4926, 723, 519, 31776, 602, 621, 2115, 602, 3947, 1142, 1895, 602, 2027, 27506, 602, 8952, 519, 16921, 4947, 1394, 269, 1284, 4001, 519, 16921, 875, 547, 2206, 543, 875, 547, 2206, 1732, 998, 938, 19393, 267, 19971, 267, 543, 16488, 693, 16311, 269, 1284, 4001, 873, 875, 547, 1685, 676, 2348, 2206, 8083, 543, 840, 6137, 585, 2982, 269, 1809, 649, 2760, 2731, 4001, 873, 875, 547, 581, 12372, 269, 1703, 616, 1896, 16921, 945, 2097, 547, 31667, 531, 945, 2206, 741, 2694, 267, 917, 1169, 4063, 267, 543, 917, 782, 519, 25287, 334, 855, 1287, 2161, 602, 789, 18085, 1224, 519, 2575, 543, 713, 568, 1141, 649, 666, 798, 513, 1732, 2816, 585, 938, 2818, 543, 585, 6000, 563, 9596, 1677, 3367, 8535, 630, 289, 21392, 994, 314, 13548, 2450, 284, 892, 21459, 892, 1100, 318, 2775, 7901, 284, 892, 32401, 892, 1930, 318, 2908, 4671, 629, 284, 892, 32401, 892, 16681, 284, 892, 25152, 892, 316, 10059, 2517, 4178, 6983, 731, 1400, 23251, 2774, 3820, 11320, 335, 9762, 550, 270, 340, 22744, 338, 270, 1001, 274, 270, 6187, 270, 17084, 335, 11839, 27970, 22535, 13548, 2639, 9359, 609, 519, 9238, 269, 1403, 596, 946, 519, 2575, 547, 1175, 1246, 519, 1913, 610, 1256, 952, 596, 723, 6594, 2575, 267, 922, 2141, 1434, 547, 2689, 519, 9238, 269, 5565, 540, 519, 1034, 1271, 1919, 596, 666, 1451, 547, 1376, 616, 4063, 2418, 267, 4063, 4408, 267, 543, 1883, 22782, 269, 634, 1871, 267, 610, 3259, 540, 519, 4967, 267, 568, 835, 540, 519, 1101, 1919, 547, 1451, 543, 2689, 547, 1118, 596, 513, 1732, 22459, 269, 18833, 875, 1279, 547, 3180, 707, 4063, 267, 950, 547, 1689, 1369, 519, 8360, 267, 543, 952, 596, 616, 8066, 1247, 1866, 616, 3001, 666, 948, 596, 1174, 519, 4062, 543, 1685, 621, 1732, 563, 763, 13969, 4577, 3457, 585, 4063, 4408, 616, 1919, 602, 649, 1058, 3314, 689, 10026, 543, 4730, 519, 2594, 518, 543, 972, 616, 1896, 1114, 3283, 594, 723, 4862, 936, 519, 1296, 269, 12968, 652, 569, 267, 621, 3085, 1406, 2339, 952, 596, 3314, 621, 607, 968, 9336, 6153, 15196, 6496, 20963, 892, 610, 968, 14976, 6665, 685, 2871, 10560, 645, 6593, 13560, 11016, 892, 627, 31295, 835, 1568, 585, 596, 543, 2337, 596, 917, 1018, 596, 991, 547, 917, 563, 13981, 1018, 4063, 596, 616, 593, 693, 519, 4098, 543, 1439, 540, 519, 5152, 786, 948, 596, 1376, 547, 1205, 513, 3965, 585, 875, 621, 7959, 543, 9305, 602, 547, 519, 2985, 269, 901, 786, 948, 811, 2899, 596, 917, 519, 1883, 540, 519, 8964, 269, 4197, 875, 707, 4063, 13352, 883, 519, 1883, 786, 948, 596, 2206, 621, 811, 9846, 519, 2953, 1259, 1317, 13465, 513, 595, 538, 519, 1883, 540, 595, 4992, 543, 7959, 513, 2898, 2603, 1114, 982, 13465, 513, 595, 538, 519, 1883, 540, 2806, 563, 9928, 2297, 543, 18833, 1215, 2659, 8074, 674, 1080, 630, 289, 21392, 994, 314, 13548, 2450, 284, 892, 21459, 892, 1100, 318, 2775, 7901, 284, 892, 32401, 892, 1930, 318, 2908, 4671, 629, 284, 892, 32401, 892, 16681, 284, 892, 25152, 892, 316, 10059, 2517, 4178, 6983, 731, 1400, 23251, 2774, 3820, 11320, 335, 9762, 550, 270, 340, 22744, 338, 270, 1001, 274, 270, 6187, 7933, 648, 14741, 3887, 15389, 6021, 277, 278, 5038, 27898, 274, 27970, 22535, 13548, 2639, 1103, 938, 32711, 4926, 267, 649, 946, 1082, 1114, 2409, 585, 3636, 5725, 543, 13465, 10253, 269, 2368, 946, 519, 2338, 543, 930, 946, 1151, 10623, 613, 267, 1312, 616, 5386, 547, 946, 855, 596, 991, 547, 1174, 875, 789, 960, 1927, 543, 1018, 6616, 1346, 666, 798, 585, 707, 2702, 269, 4804, 875, 707, 4063, 13352, 883, 519, 1883, 267, 16147, 267, 543, 5152, 568, 707, 1985, 1900, 538, 4742, 513, 1732, 22459, 543, 1732, 22256, 538, 707, 669, 11501, 610, 14415, 564, 269, 1703, 616, 513, 1906, 2798, 547, 1832, 2247, 1247, 3257, 713, 7498, 268, 8048, 338, 1107, 596, 786, 7363, 2206, 519, 23260, 267, 865, 596, 991, 547, 1246, 602, 10502, 1107, 1256, 519, 16602, 11996, 454, 268, 14210, 832, 1107, 596, 7363, 2206, 6266, 540, 555, 8674, 543, 18749, 338, 538, 519, 22334, 454, 268, 645, 13293, 1107, 596, 2206, 6266, 540, 12354, 2314, 543, 6957, 2195, 267, 1360, 6671, 11745, 625, 952, 596, 723, 23475, 538, 5939, 454, 268, 4446, 529, 1107, 596, 786, 1205, 6266, 540, 6957, 2195, 267, 555, 8674, 267, 18749, 338, 543, 8726, 3116, 568, 31629, 2507, 20994, 454, 31535, 891, 2798, 666, 1291, 596, 547, 513, 1906, 824, 1808, 1919, 602, 666, 948, 596, 522, 707, 1259, 7498, 31535, 7316, 1411, 3657, 769, 519, 932, 867, 1656, 1215, 1677, 570, 2317, 898, 630, 289, 21392, 994, 291, 1511, 21862, 839, 814, 513, 1390, 3381, 593, 519, 645, 9391, 962, 19834, 2985, 1572, 968, 1432, 649, 616, 3843, 547, 3465, 2925, 892, 602, 3877, 519, 3046, 1499, 7749, 16147, 538, 782, 922, 18710, 269, 1261, 12909, 827, 13465, 519, 968, 290, 2292, 6816, 892, 16147, 267, 799, 568, 602, 968, 17764, 892, 16147, 596, 2206, 693, 519, 4098, 540, 519, 5152, 269, 2334, 16147, 568, 519, 966, 16147, 2094, 621, 568, 3710, 522, 562, 519, 11359, 540, 602, 1883, 269, 634, 8048, 568, 593, 519, 512, 4577, 267, 30464, 593, 519, 11359, 855, 2630, 519, 1291, 267, 645, 926, 593, 519, 3791, 1175, 1657, 519, 1291, 267, 543, 4557, 528, 593, 519, 476, 278, 628, 269, 1261, 4422, 998, 875, 547, 5873, 543, 5431, 519, 3268, 2476, 689, 519, 512, 4577, 16147, 543, 875, 547, 960, 707, 1259, 1394, 968, 24610, 6100, 2755, 1565, 519, 2497, 540, 519, 22334, 267, 3314, 891, 2798, 7498, 268, 2206, 2206, 555, 8674, 543, 6957, 2195, 513, 3787, 8325, 454, 268, 2206, 18749, 338, 513, 3787, 6366, 454, 268, 1832, 519, 512, 4577, 267, 610, 798, 267, 4835, 1242, 865, 596, 4704, 782, 707, 8486, 2583, 547, 602, 1107, 952, 596, 616, 513, 1291, 454, 268, 1118, 2386, 547, 19820, 547, 519, 1291, 952, 596, 616, 513, 18369, 267, 536, 926, 267, 610, 4557, 528, 454, 268, 2141, 1265, 707, 1259, 1394, 1753, 454, 13480, 593, 2542, 2575, 543, 707, 12372, 1222, 547, 1831, 513, 4402, 22459, 543, 519, 1655, 3046, 1499, 7749, 704, 596, 666, 581, 563, 297, 4141, 568, 606, 16504, 8535, 4116, 267, 10496, 10849, 3427, 540, 2575, 10927, 267, 513, 4357, 5639, 543, 6293, 14357, 267, 19608, 10615, 540, 519, 16319, 540, 18518, 267, 9315, 1400, 10588, 10615, 540, 8535, 4065, 267, 9315, 1400, 10588, 24442, 7690, 10615, 267, 631, 4696, 31763, 564, 22588, 325, 1400, 626, 267, 9315, 1400, 10588, 8734, 823, 31763, 564, 19598, 542, 267, 15272, 932, 11501, 2552, 652, 2841, 3218, 609, 13317, 10414, 267, 1685, 518, 609, 3143, 645, 7451, 932, 11501, 693, 31257, 8065, 267, 589, 9391, 8582, 4759, 267, 2855, 9734, 267, 543, 17151, 8135, 16588, 540, 519, 4446, 1499, 7749, 24442, 5980, 269, 0, 2467, 616, 1114, 2994, 602, 666, 581, 1031, 676, 519, 3610, 585, 2500, 1362, 2359, 1851, 799, 519, 1034, 1713, 568, 5693, 4259, 856, 519, 3898, 540, 4245, 269, 901, 568, 2944, 609, 519, 948, 540, 4259, 6859, 543, 6663, 267, 4758, 2834, 2318, 5955, 267, 17265, 519, 1565, 4093, 543, 4758, 606, 538, 3178, 5758, 543, 3803, 3635, 547, 519, 1053, 269, 2755, 593, 519, 824, 1688, 267, 519, 4116, 666, 849, 1118, 946, 540, 6299, 7879, 585, 1620, 519, 5759, 540, 1053, 269, 634, 3610, 666, 849, 1118, 946, 540, 1582, 26190, 607, 519, 4640, 585, 1362, 2359, 1317, 621, 2337, 519, 1053, 538, 30228, 741, 1378, 1565, 543, 1646, 5759, 269, 2060, 519, 948, 540, 713, 4640, 267, 519, 4116, 1131, 581, 2111, 547, 3313, 519, 5294, 543, 931, 540, 1142, 454, 288, 1421, 2107, 974, 8615, 7304, 340, 714, 267, 681, 1421, 1299, 5548, 1234, 344, 267, 681, 269, 476, 1001, 276, 1040, 1358, 14751, 519, 2856, 602, 3610, 666, 3310, 519, 8965, 6364, 789, 7287, 269, 6684, 267, 538, 519, 2376, 968, 27645, 281, 589, 11879, 855, 3683, 331, 10541, 3281, 9426, 540, 31421, 10644, 543, 27800, 2223, 808, 2088, 962, 3019, 543, 15593, 328, 13391, 3861, 2491, 269, 6271, 5057, 540, 519, 1514, 14498, 540, 11648, 568, 519, 2470, 540, 1514, 2833, 602, 519, 3610, 1711, 585, 1053, 269, 769, 519, 3232, 2621, 540, 513, 1153, 267, 621, 568, 519, 3610, 945, 616, 2507, 1492, 2990, 547, 26544, 950, 11648, 4386, 630, 312, 3019, 267, 808, 1421, 1299, 13391, 3861, 267, 590, 269, 476, 1001, 275, 1916, 763, 2238, 616, 851, 540, 519, 3450, 3356, 538, 13460, 865, 3610, 991, 547, 581, 2312, 609, 519, 4928, 2359, 269, 22353, 267, 6287, 2200, 616, 3246, 609, 519, 1344, 540, 2359, 269, 3689, 267, 595, 4456, 4916, 513, 14942, 1935, 547, 4928, 2359, 547, 918, 268, 279, 3446, 269, 5822, 267, 2598, 23002, 538, 519, 6281, 4928, 813, 10737, 1935, 547, 2623, 2359, 547, 476, 280, 268, 1321, 3446, 269, 5637, 616, 1374, 609, 2497, 547, 948, 2875, 585, 1967, 609, 519, 1344, 827, 3375, 3610, 991, 547, 1118, 827, 519, 1053, 563, 296, 5469, 602, 1142, 4928, 1185, 513, 2780, 6728, 267, 1895, 5698, 3349, 267, 513, 3043, 4580, 267, 6989, 24821, 267, 7750, 9812, 267, 513, 1788, 528, 267, 513, 5399, 1858, 543, 540, 1576, 513, 4116, 11380, 269, 2755, 11287, 13460, 543, 2870, 891, 12417, 267, 594, 4956, 513, 3761, 3349, 267, 15291, 2013, 267, 543, 513, 2922, 11380, 1058, 581, 3773, 547, 1250, 13460, 269, 589, 4116, 779, 11380, 3947, 803, 1250, 1378, 2123, 1858, 547, 5531, 1250, 4555, 543, 2097, 909, 609, 1390, 3992, 4566, 269, 594, 2813, 513, 2922, 11380, 1317, 621, 568, 513, 851, 540, 1250, 4539, 269, 29179, 1053, 513, 5544, 1141, 789, 666, 5094, 2933, 689, 519, 1964, 540, 519, 1895, 2636, 873, 547, 1201, 1371, 2933, 563, 2690, 1453, 543, 1762, 1004, 547, 1020, 2318, 3347, 621, 568, 2629, 585, 4079, 547, 2203, 2500, 2792, 538, 519, 4928, 269, 2026, 513, 4116, 610, 3450, 13930, 267, 596, 723, 519, 3760, 547, 7520, 1514, 1565, 543, 1291, 676, 1383, 269, 2290, 540, 519, 1292, 4128, 1946, 2500, 2792, 568, 1271, 267, 568, 1317, 621, 2306, 1453, 1745, 6126, 543, 6899, 693, 1153, 267, 543, 538, 707, 4527, 269, 3502, 1152, 786, 713, 948, 1453, 547, 8853, 538, 513, 1565, 1604, 267, 855, 786, 849, 6882, 998, 547, 741, 2729, 693, 1753, 543, 3544, 540, 1153, 269, 1635, 6029, 606, 1719, 538, 1018, 513, 1126, 814, 547, 2161, 849, 25242, 741, 6015, 543, 1582, 2914, 2180, 269, 901, 786, 5512, 1453, 547, 1616, 547, 2911, 543, 1404, 609, 1866, 543, 1291, 873, 547, 723, 2318, 4205, 454, 273, 269, 274, 1040, 634, 2238, 602, 594, 786, 1544, 585, 1250, 1053, 267, 519, 1259, 594, 1305, 909, 519, 3919, 540, 519, 1604, 676, 8939, 3617, 9162, 543, 2326, 267, 543, 1544, 513, 3232, 8430, 786, 948, 538, 1250, 22920, 585, 513, 11300, 15099, 1565, 2230, 543, 1118, 519, 1453, 811, 3811, 538, 519, 454, 273, 269, 13575, 594, 1745, 602, 1250, 960, 538, 519, 1362, 568, 513, 2318, 1840, 547, 519, 1453, 779, 1565, 267, 606, 3063, 1268, 538, 519, 4928, 1797, 811, 1489, 585, 519, 4116, 543, 865, 811, 1367, 948, 585, 519, 1453, 269, 594, 1589, 621, 568, 1360, 11815, 4328, 950, 594, 948, 513, 1126, 1174, 513, 1966, 543, 865, 1628, 741, 6015, 269, 24720, 594, 1205, 593, 1250, 2773, 568, 1360, 2318, 543, 5363, 269, 476, 274, 563, 763, 1895, 941, 14379, 2093, 3927, 543, 594, 3494, 713, 8343, 729, 5693, 513, 1267, 540, 875, 13730, 519, 4116, 729, 827, 519, 20194, 779, 2055, 543, 875, 1134, 519, 4116, 7722, 609, 519, 1565, 2921, 1747, 269, 4340, 547, 519, 4116, 4441, 267, 4116, 1058, 968, 16780, 5971, 10453, 547, 1491, 513, 3743, 543, 931, 2615, 1190, 10182, 547, 741, 1378, 960, 543, 1353, 892 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22416, 3279, 729, 2808, 606, 6532, 540, 3345, 4000, 585, 5553, 563, 763, 1101, 6592, 6165, 540, 20195, 9719, 497, 335, 25207, 607, 513, 13664, 2165, 568, 538, 519, 25264, 545, 670, 2096, 333, 547, 5548, 1014, 21011, 267, 538, 4704, 547, 519, 7262, 13272, 540, 519, 32363, 613, 534, 7256, 563, 2690, 519, 2034, 851, 5635, 849, 519, 10143, 10305, 540, 834, 326, 9445, 31991, 257, 23723, 320, 630, 24556, 16575, 10382, 21227, 24681, 413, 379, 370, 11027, 15403, 19084, 267, 1350, 879, 330, 16230, 335, 529, 264, 610, 3404, 31991, 4173, 320, 630, 15512, 14267, 413, 379, 370, 11027, 15403, 19084, 267, 1630, 16230, 335, 529, 1916, 27001, 519, 476, 1626, 628, 543, 476, 736, 628, 5553, 267, 3864, 7060, 6417, 693, 1585, 2053, 519, 17113, 267, 1034, 540, 4000, 267, 7909, 807, 267, 543, 519, 5354, 540, 5607, 563, 7197, 2101, 1158, 4654, 946, 1913, 6508, 689, 20195, 9719, 497, 335, 25207, 610, 16402, 11985, 547, 3277, 547, 519, 11782, 563, 24336, 267, 585, 1383, 267, 3096, 519, 2262, 15662, 490, 15120, 327, 16230, 340, 630, 27882, 494, 418, 368, 366, 270, 418, 361, 356, 418, 368, 366, 5148, 513, 2147, 4457, 23402, 2165, 15662, 490, 3333, 19476, 1373, 811, 4122, 1031, 563, 292, 2202, 568, 3144, 547, 581, 22112, 676, 1804, 4703, 540, 1216, 547, 519, 5087, 267, 7178, 543, 5045, 282, 2342, 781, 7182, 547, 519, 2484, 7532, 616, 2356, 3144, 547, 581, 519, 7984, 1023, 267, 519, 772, 1537, 5211, 267, 543, 519, 595, 5684, 1014, 7256, 282, 547, 519, 22703, 267, 1519, 519, 24272, 30510, 15142, 267, 519, 4563, 7256, 543, 519, 25825, 8220, 519, 4563, 7256, 547, 519, 11335, 7256, 563, 3674, 4133, 616, 3622, 19882, 609, 519, 14282, 18626, 2244, 21346, 267, 8754, 19360, 568, 3622, 2808, 547, 581, 851, 540, 2342, 267, 1247, 519, 7404, 6532, 540, 23529, 568, 2356, 8655, 547, 3345, 3013, 269, 0, 5331, 3054, 2713, 538, 717, 548, 1506, 2465, 2098, 528, 701, 320, 267, 962, 541, 7773, 2725, 327, 985, 565, 2129, 10588, 267, 715, 574, 9346, 6019, 610, 538, 513, 4884, 602, 19330, 1569, 547, 6176, 543, 18058, 5303, 630, 2975, 307, 1916, 10190, 4952, 519, 17140, 543, 989, 3415, 602, 1004, 2713, 538, 602, 1858, 1995, 607, 513, 1267, 540, 519, 8261, 543, 2025, 2081, 1919, 616, 2944, 267, 1247, 741, 2197, 5443, 538, 824, 2694, 540, 519, 2197, 3136, 547, 4324, 689, 23559, 338, 269, 3767, 267, 4952, 596, 2661, 538, 513, 4259, 25552, 609, 2413, 23559, 338, 602, 616, 1031, 547, 2087, 707, 1272, 269, 2052, 596, 1745, 610, 1294, 519, 7941, 888, 296, 3494, 602, 1272, 1510, 23559, 338, 568, 18106, 267, 1100, 2339, 799, 11782, 610, 2197, 596, 949, 21078, 538, 269, 634, 2956, 540, 23559, 3112, 581, 21467, 332, 3508, 1242, 543, 4061, 267, 1058, 711, 3136, 547, 581, 693, 519, 5377, 540, 938, 1592, 540, 3084, 14422, 563, 2252, 649, 616, 547, 3035, 2804, 1646, 267, 649, 1590, 9784, 23559, 338, 543, 1491, 5021, 5413, 540, 741, 3156, 547, 938, 2486, 563, 9213, 267, 594, 2328, 711, 607, 513, 17976, 337, 538, 519, 2361, 593, 6176, 5303, 267, 855, 607, 513, 13730, 7913, 7126, 2920, 22999, 267, 945, 17358, 519, 6209, 9295, 789, 630, 2975, 25629, 264, 666, 1118, 547, 938, 2804, 1646, 3292, 563, 21607, 13151, 3307, 569, 267, 1022, 4182, 602, 3922, 3278, 519, 2500, 946, 540, 23559, 338, 267, 7158, 3294, 547, 3035, 513, 1164, 14407, 6469, 1587, 630, 294, 7894, 1070, 1945, 602, 568, 606, 16315, 602, 519, 2729, 540, 513, 4182, 779, 1004, 616, 5355, 563, 303, 1021, 585, 513, 2034, 256, 3973, 1491, 513, 1413, 2477, 630, 294, 327, 3570, 267, 13280, 267, 3162, 4000, 267, 15057, 267, 32678, 267, 543, 1866, 264, 602, 15407, 23559, 338, 547, 5397, 3084, 2804, 1646, 563, 2791, 786, 1265, 602, 1142, 540, 891, 2477, 723, 6913, 711, 1152, 2804, 1646, 267, 998, 23559, 338, 267, 855, 849, 1377, 540, 29678, 602, 19776, 547, 2919, 2477, 563, 763, 946, 540, 23559, 338, 538, 1022, 4182, 6799, 513, 2603, 540, 7399, 543, 2640, 269, 1280, 1383, 267, 6917, 17743, 619, 616, 3177, 513, 5420, 3842, 519, 5769, 547, 2744, 1702, 543, 849, 581, 4448, 547, 824, 2694, 540, 519, 1158, 3274, 998, 519, 4945, 540, 513, 10856, 610, 519, 946, 540, 513, 5985, 3926, 563, 305, 1116, 17743, 619, 538, 1082, 2665, 616, 17792, 1569, 547, 3255, 602, 616, 7363, 2139, 547, 4683, 17743, 619, 269, 23559, 338, 723, 519, 1761, 547, 8115, 519, 7934, 543, 1450, 6917, 17743, 619, 519, 4316, 547, 7119, 538, 10350, 543, 824, 8739, 20300, 2152, 563, 2975, 307, 2090, 723, 3254, 602, 621, 630, 2975, 307, 264, 666, 723, 513, 2318, 1764, 593, 6082, 685, 3646, 547, 2569, 6710, 543, 2087, 519, 2729, 540, 1004, 269, 901, 6770, 803, 547, 1776, 1448, 563, 763, 6554, 540, 8644, 4997, 814, 7550, 513, 605, 1790, 3233, 16786, 269, 2290, 540, 922, 1082, 3646, 547, 3142, 8323, 547, 519, 10010, 13999, 267, 2523, 1053, 267, 568, 519, 6388, 540, 513, 3059, 14261, 3760, 547, 8897, 519, 14261, 1184, 693, 519, 2160, 540, 8644, 4997, 563, 1607, 568, 513, 862, 754, 762, 1847, 799, 568, 7494, 15874, 676, 1053, 540, 519, 2160, 540, 8644, 4997, 269, 1809, 519, 6554, 1058, 711, 3247, 972, 282, 621, 1058, 946, 23559, 538, 513, 6626, 1259, 547, 2087, 519, 2729, 540, 782, 519, 1004, 563, 763, 2127, 540, 552, 19645, 267, 552, 268, 8234, 267, 543, 552, 268, 25531, 616, 1869, 693, 25782, 5933, 269, 769, 519, 1858, 540, 552, 3766, 17922, 267, 519, 6554, 814, 1500, 930, 26058, 543, 1590, 3136, 547, 798, 865, 585, 1434, 10350, 607, 1134, 563, 2975, 25629, 2759, 2066, 782, 9922, 540, 938, 4182, 269, 634, 2127, 540, 2069, 267, 6683, 267, 1072, 267, 8804, 267, 3354, 267, 543, 824, 9922, 267, 7048, 593, 23559, 338, 607, 513, 18463, 585, 4264, 2804, 1646, 269, 9453, 23559, 338, 1082, 540, 519, 9922, 1369, 519, 2229, 2497, 786, 711, 581, 2111, 547, 5968, 609, 1142, 824, 563, 4415, 23559, 338, 267, 938, 2069, 5823, 1223, 4324, 689, 552, 7232, 3027, 566, 799, 2636, 552, 19543, 543, 2228, 1565, 269, 769, 519, 1072, 5823, 267, 23559, 16881, 519, 11865, 540, 3782, 998, 7658, 25924, 269, 634, 1870, 5823, 6763, 547, 4324, 689, 552, 19645, 543, 552, 1532, 21403, 563, 763, 2229, 3294, 666, 1995, 519, 1764, 540, 23559, 338, 998, 552, 8566, 17922, 7551, 5355, 3028, 6765, 547, 519, 1004, 607, 1134, 607, 922, 10350, 6127, 563, 1103, 519, 1858, 540, 6683, 267, 6705, 666, 1995, 519, 2640, 540, 23559, 338, 998, 552, 5025, 326, 3472, 675, 269, 1452, 616, 1175, 513, 1906, 540, 519, 2127, 543, 2081, 538, 799, 23559, 338, 666, 1764, 938, 4182, 563, 1103, 513, 2197, 3413, 21719, 676, 6710, 267, 972, 723, 1044, 1082, 3646, 1500, 676, 2250, 6608, 2509, 922, 10970, 2747, 267, 952, 711, 16701, 1709, 269, 4107, 5063, 267, 519, 6554, 540, 5518, 31130, 9652, 11184, 29566, 5249, 1654, 515, 618, 569, 547, 4339, 543, 2569, 6710, 998, 922, 24770, 22159, 15613, 16051, 571, 563, 6546, 4339, 1500, 2370, 946, 540, 23559, 338, 607, 513, 9920, 547, 3035, 519, 3804, 540, 4227, 6710, 269, 634, 1267, 568, 513, 2197, 3592, 476, 15876, 1296, 2025, 609, 16854, 2067, 2200, 267, 2943, 5185, 609, 606, 5393, 1164, 1377, 540, 6710, 563, 3086, 267, 513, 1007, 2229, 568, 538, 1747, 267, 609, 606, 16786, 602, 568, 5497, 547, 581, 605, 1790, 3233, 269, 10251, 267, 2038, 4191, 5815, 602, 1360, 2370, 8561, 786, 581, 5116, 593, 23559, 338, 5610, 538, 8644, 4997, 269, 634, 14305, 540, 1269, 4968, 267, 1822, 20430, 585, 513, 2875, 14261, 1062, 693, 519, 2160, 540, 8644, 4997, 568, 862, 754, 762, 563, 4407, 713, 3355, 957, 676, 6554, 568, 1454, 15874, 267, 519, 2179, 568, 28971, 267, 6236, 519, 2450, 540, 519, 2160, 540, 8644, 4997, 269, 2859, 7616, 2115, 547, 581, 3177, 547, 519, 4182, 779, 5207, 9872, 540, 1565, 547, 1450, 1053, 547, 2972, 519, 2640, 540, 2413, 1242, 27380, 563, 2414, 3035, 1010, 605, 1790, 3233, 16786, 267, 5518, 1284, 1695, 543, 1010, 9114, 9790, 1218, 610, 31548, 1590, 11441, 711, 1152, 547, 2087, 519, 2729, 540, 8644, 518, 2103, 998, 23559, 338, 267, 855, 789, 1058, 849, 960, 4724, 28043, 6639, 10616, 602, 2291, 1063, 8644, 4997, 267, 19168, 267, 24381, 527, 3780, 267, 13280, 267, 543, 1866, 3384, 3979, 2477, 563, 296, 993, 1210, 713, 5420, 607, 513, 7913, 7126, 5917, 11229, 543, 5518, 900, 518, 7978, 540, 519, 8644, 4997, 6176, 5303, 4841, 5742, 630, 299, 3951, 24746, 264, 547, 1289, 593, 519, 6554, 998, 519, 12080, 540, 4065, 267, 547, 2327, 602, 519, 4441, 540, 938, 2930, 5238, 1519, 519, 2136, 6396, 626, 2160, 630, 9331, 308, 1070, 10060, 345, 5441, 540, 3163, 543, 5303, 267, 9791, 920, 560, 2160, 267, 631, 309, 12839, 267, 645, 1513, 17850, 2160, 267, 715, 574, 9346, 6019, 7991, 5441, 630, 301, 6717, 290, 264, 543, 824, 2930, 5238, 2066, 8644, 4997, 267, 616, 6462, 543, 9415, 547, 2743, 3486, 1655, 2853, 543, 4441, 563, 5194, 7662, 689, 803, 547, 519, 5518, 543, 6554, 540, 8644, 4997, 568, 585, 519, 10661, 540, 513, 3084, 1382, 4099, 610, 9872, 547, 5000, 1382, 538, 3163, 267, 5303, 267, 7177, 270, 20245, 3163, 267, 543, 9119, 630, 23727, 1916, 1607, 786, 6536, 3084, 1646, 543, 6157, 948, 547, 14132, 909, 519, 1983, 602, 616, 18418, 2299, 2877, 585, 1514, 267, 2797, 543, 2804, 7004, 538, 8644, 4997, 563, 8601, 1018, 594, 723, 1767, 1657, 267, 972, 814, 1044, 930, 3356, 1500, 936, 519, 1296, 269, 769, 606, 4674, 547, 6963, 519, 5823, 267, 538, 476, 1220, 278, 519, 17791, 20664, 957, 729, 5293, 799, 1500, 519, 12080, 540, 24762, 543, 17791, 20664, 607, 519, 3609, 6186, 540, 519, 23559, 5823, 282, 519, 8644, 4997, 17791, 20664, 16958, 630, 299, 14011, 1070, 607, 519, 26273, 267, 1247, 519, 8644, 4997, 17791, 20664, 11283, 725, 630, 299, 296, 6630, 5085, 4596, 264, 5713, 607, 519, 3084, 11346, 269, 901, 729, 5497, 547, 1683, 11974, 543, 21356, 585, 11413, 607, 1134, 607, 4398, 563, 9827, 267, 538, 476, 1001, 276, 267, 2687, 547, 519, 8644, 4997, 17791, 23890, 16958, 267, 4950, 21774, 729, 9170, 689, 476, 273, 260, 547, 476, 276, 10065, 4653, 267, 602, 6871, 814, 6738, 28354, 269, 769, 1840, 267, 5985, 21774, 799, 729, 2539, 538, 5449, 1296, 814, 849, 6738, 3648, 936, 519, 1296, 267, 609, 782, 476, 1428, 17521, 540, 8644, 4997, 723, 1569, 547, 5985, 14479, 563, 2026, 594, 2328, 713, 2376, 267, 1250, 20516, 968, 30538, 21919, 1695, 570, 532, 9346, 5608, 945, 29084, 538, 717, 548, 1506, 2465, 2098, 528, 701, 320, 267, 962, 541, 7773, 2725, 327, 985, 565, 2129, 10588, 267, 715, 574, 9346, 6019, 267, 1631, 814, 513, 6049, 543, 1569, 547, 519, 5769, 563, 2171, 849, 1413, 4464, 547, 519, 4417, 540, 595, 30026, 270, 11386, 5450, 549, 23580, 538, 8644, 4997, 269, 901, 5450, 549, 23580, 568, 4397, 547, 2333, 938, 4950, 21774, 267, 2539, 1942, 543, 10607, 519, 2298, 540, 4950, 2533, 547, 721, 607, 1004, 563, 1103, 14656, 267, 594, 1131, 899, 547, 556, 30185, 1250, 1289, 585, 3527, 547, 581, 3144, 547, 8115, 519, 2647, 3059, 7941, 538, 8644, 4997, 269, 594, 993, 6998, 5518, 1284, 1695, 543, 1010, 7245, 547, 2070, 23559, 607, 519, 968, 523, 629, 2401, 892, 543, 968, 323, 18182, 892, 540, 2804, 1646, 543, 1902, 538, 873, 630, 2975, 25629, 1916, 1103, 1250, 6644, 267, 713, 786, 948, 547, 2087, 938, 14407, 6469, 1587, 799, 1287, 8945, 956, 1524, 547, 2184, 545, 267, 1514, 543, 2804, 1646, 563, 296, 2322, 1250, 4050, 1524, 585, 1631, 267, 1354, 3257, 602, 267, 1577, 803, 7618, 596, 602, 23559, 338, 616, 1934, 547, 3251, 269, 1358, 723, 4957, 519, 1259, 649, 2661, 543, 789, 786, 3136, 547, 798, 865, 585, 513, 1279, 942, 563, 5723, 27345, 5990, 27483, 295, 3036, 454, 12663, 773, 27392, 570, 532, 9346, 267, 12789, 269, 6585, 513, 25328, 540, 3163, 4110, 538, 6176, 5303, 24486, 5004, 7896, 270, 8950, 3163, 689, 519, 2136, 6396, 626, 2160, 630, 9331, 308, 1040, 1261, 568, 513, 7913, 7126, 2920, 22999, 267, 3487, 6874, 830, 17976, 337, 693, 519, 9791, 290, 6135, 2160, 267, 8644, 4997 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23956, 16758, 547, 917, 811, 827, 707, 5945, 543, 1808, 16885, 334, 4003, 5751, 585, 621, 267, 607, 621, 568, 606, 7533, 851, 540, 2347, 14317, 269, 2201, 519, 824, 1688, 23979, 540, 28587, 3565, 547, 16885, 334, 21082, 5955, 2530, 476, 273, 267, 274, 269, 7351, 2168, 3797, 7459, 585, 12597, 30169, 1445, 593, 13302, 1928, 543, 5355, 12597, 2039, 540, 5163, 267, 4887, 269, 5564, 626, 566, 16885, 334, 21082, 3635, 1982, 11151, 21721, 563, 763, 31832, 20108, 3802, 568, 4998, 585, 1004, 23232, 689, 12597, 7063, 610, 585, 1346, 3168, 547, 2087, 12597, 16885, 334, 4003, 269, 623, 831, 7224, 1696, 620, 476, 277, 4330, 3666, 2866, 607, 1519, 5751, 2519, 593, 2022, 1116, 4656, 543, 519, 5826, 540, 11466, 1510, 4657, 519, 3490, 540, 1489, 269, 29407, 5751, 30569, 1888, 2592, 2367, 29234, 17229, 22712, 5036, 2786, 5586, 6318, 547, 519, 4395, 2786, 5586, 6318, 547, 519, 1394, 8423, 11415, 1225, 3149, 24933, 12651, 24933, 2007, 28043, 13719, 7555, 12597, 536, 1742, 2367, 29234, 15237, 269, 17461, 16885, 334, 4003, 4249, 606, 7533, 1909, 538, 519, 29648, 19318, 1852, 540, 519, 12597, 4745, 269, 1677, 6218, 12597, 16885, 334, 4003, 538, 2550, 609, 18751, 2267, 857, 622, 30301, 513, 743, 7063, 543, 547, 2708, 519, 7145, 540, 606, 3635, 1982, 9967, 5631, 540, 16885, 334, 4003, 5751, 5466, 1928, 267, 16885, 334, 4003, 267, 543, 6198, 4567, 1739, 513, 743, 16646, 269, 4635, 707, 2462, 23179, 607, 513, 24072, 267, 10250, 3854, 5022, 540, 519, 9904, 689, 513, 547, 1990, 269, 21584, 16885, 334, 21082, 543, 29648, 31100, 5751, 519, 269, 3683, 476, 3199, 5863, 16885, 334, 21082, 2238, 602, 1683, 3532, 543, 9434, 16885, 334, 21082, 3403, 269, 18696, 5751, 948, 4001, 707, 1560, 543, 2634, 547, 1852, 519, 2990, 540, 513, 28119, 610, 606, 13676, 4745, 269, 1160, 3126, 608, 20143, 572, 3440, 12048, 16885, 334, 4003, 543, 3666, 563, 28723, 2597, 12946, 16885, 334, 21082, 3635, 267, 13326, 1996, 513, 15547, 3440, 269, 21584, 30169, 522, 320, 568, 513, 3056, 2014, 540, 6198, 15717, 543, 1928, 269, 4578, 729, 21845, 676, 1210, 19610, 543, 10002, 8529, 512, 11687, 267, 27315, 1723, 343, 517, 9896, 7584, 1449, 543, 812, 333, 17642, 2284, 1449, 269, 634, 11144, 540, 519, 3105, 3635, 267, 609, 519, 18530, 543, 20414, 540, 513, 3440, 15029, 13326, 1996, 513, 15547, 3440, 269, 12186, 540, 16885, 334, 21082, 5547, 3635, 593, 12597, 4745, 269, 28206, 848, 538, 519, 4887, 3159, 543, 5786, 540, 519, 13029, 1379, 540, 28844, 5012, 547, 22907, 538, 16885, 334, 4003, 476, 273, 269, 661, 24351, 540, 5916, 16885, 334, 21082, 5751, 543, 6671, 269, 1160, 3064, 334, 4003, 568, 3274, 4656, 540, 1141, 707, 1560, 568, 269, 634, 3483, 540, 519, 1459, 1353, 729, 547, 8495, 2436, 3635, 8114, 1027, 22712, 878, 10134, 4887, 3441, 5540, 12597, 16885, 334, 4003, 971, 607, 4745, 2990, 2631, 795, 1186, 267, 3196, 2631, 543, 519, 12939, 269, 10670, 16885, 334, 4003, 5751, 1519, 2582, 7555, 1850, 3666, 593, 519, 2666, 543, 593, 519, 563, 4322, 5751, 948, 547, 5721, 519, 16885, 334, 21082, 1062, 538, 513, 6140, 11979, 2534, 269, 13722, 1560, 4222, 10177, 1456, 8957, 16885, 334, 21082, 5751, 269, 9061, 835, 1850, 936, 519, 936, 519, 824, 267, 2921, 513, 1804, 1900, 547, 835, 2427, 269, 1160, 3064, 334, 21082, 2866, 2409, 607, 513, 1907, 585, 519, 6604, 540, 269, 901, 6920, 602, 3498, 540, 16885, 334, 21082, 5547, 3635, 10607, 16885, 334, 4003, 543, 12597, 4745, 4887, 1599, 267, 7551, 4227, 3461, 269, 918, 26234, 4745, 16885, 334, 4003, 267, 1928, 543, 6198, 9659, 2242, 689, 519, 15977, 941, 6027, 269, 589, 1863, 32029, 533, 696, 6881, 10268, 607, 513, 8755, 13472, 1397, 593, 7329, 563, 10890, 267, 2489, 4915, 267, 2168, 1072, 3344, 6165, 2168, 4915, 543, 14317, 2168, 3797, 2259, 12214, 3344, 1382, 519, 31706, 269, 17266, 1850, 2695, 1846, 4497, 12597, 543, 21721, 16885, 334, 1061, 832, 543, 3635, 519, 1850, 543, 1350, 1393, 748, 6091, 269, 6423, 519, 1614, 2241, 16885, 334, 21082, 5751, 7152, 269, 20113, 585, 513, 743, 516, 4725, 10949, 519, 1344, 8659, 538, 713, 6978, 2280, 568, 5497, 607, 2489, 5583, 543, 1344, 1152, 543, 1058, 711, 581, 16941, 2390, 607, 513, 4493, 585, 4058, 1367, 2564, 1416, 610, 607, 513, 12990, 585, 11285, 2564, 5796, 538, 1142, 1367, 2013, 269, 1160, 3064, 334, 21082, 29648, 31100, 1795, 10949, 533, 333, 325, 568, 606, 2500, 1259, 540, 1210, 16846, 525, 547, 4217, 16757, 11005, 269, 21584, 2360, 540, 16885, 334, 21082, 5547, 3635, 593, 12597, 4745, 1928, 563, 3674, 972, 2963, 602, 16885, 334, 4003, 610, 3666, 2866, 269, 21584, 12597, 16885, 334, 4003, 1310, 3635, 8114, 1027, 4887, 3441, 269, 1160, 3064, 334, 21082, 543, 29648, 31100, 5751, 519, 1379, 540, 3635, 538, 269, 1635, 4101, 519, 16885, 334, 21082, 1062, 1498, 1808, 5751, 267, 824, 12597, 4745, 2964, 648, 1061, 832, 616, 15181, 602, 3132, 9104, 2218, 4887, 11852, 3270, 538, 519, 29648, 31100, 1062, 602, 949, 4217, 609, 4745, 6617, 476, 280, 269, 13518, 540, 938, 1620, 3823, 16885, 334, 21082, 3635, 610, 2866, 568, 11821, 676, 16789, 1620, 543, 946, 540, 2035, 543, 16166, 563, 303, 10187, 334, 4003, 568, 5393, 1271, 538, 5179, 1565, 267, 5347, 5179, 1565, 267, 543, 7303, 5945, 2357, 327, 10402, 1696, 620, 269, 1160, 3064, 334, 4003, 3947, 596, 519, 2702, 547, 917, 1141, 1114, 2694, 540, 707, 1560, 616, 17479, 693, 1022, 2016, 942, 1510, 2348, 547, 1413, 693, 873, 269, 634, 6662, 540, 713, 1353, 729, 547, 6218, 519, 2078, 540, 12597, 4745, 16885, 334, 4003, 17211, 543, 2834, 3635, 2238, 609, 8377, 269, 13106, 31517, 5945, 543, 6604, 16885, 334, 21082, 5751, 269, 1160, 3064, 334, 4003, 666, 581, 3989, 607, 513, 7463, 8390, 540, 519, 10444, 1110, 1275, 540, 5905, 602, 13315, 519, 14815, 540, 4745, 3350, 10252, 17561, 543, 4745, 2990, 4745, 2990, 2631, 269, 9255, 13412, 6512, 896, 3349, 1850, 543, 936, 796, 514, 329, 3293, 21721, 269, 589, 13354, 1353, 540, 16885, 334, 21082, 5751, 8957, 269, 1160, 3064, 334, 21082, 2866, 10607, 12597, 3252, 538, 30169, 2550, 267, 543, 22712, 878, 10134, 4887, 14304, 568, 1634, 547, 11574, 519, 269, 4746, 267, 621, 4249, 1909, 585, 32278, 540, 11979, 14302, 476, 272, 269, 1133, 10561, 522, 320, 540, 12597, 814, 15176, 16885, 334, 21082, 6111, 538, 1312, 519, 269, 5851, 12354, 3426, 476, 1220, 271, 4320, 476, 2420, 3390, 476, 276, 16885, 334, 21082, 2866, 585, 21721, 269, 634, 5767, 1382, 4574, 663, 930, 540, 519, 1034, 9565, 2090, 1729, 4983, 519, 1909, 540, 16885, 334, 4003, 3448, 547, 1981, 540, 12597, 522, 320, 543, 547, 2068, 11144, 941, 3370, 676, 683, 559, 5302, 531, 267, 544, 323, 267, 20444, 267, 543, 9164, 693, 519, 6280, 540, 1775, 16305, 538, 476, 1001, 271, 543, 30602, 535, 15625, 267, 544, 323, 267, 18890, 267, 543, 9164, 693, 536, 10667, 6280, 1153, 540, 4915, 538, 476, 1220, 280, 563, 18184, 532, 610, 7900, 1769, 5751, 593, 606, 18633, 2627, 267, 971, 607, 606, 16132, 26434, 610, 530, 984, 1076, 4604, 267, 2591, 519, 11689, 6500, 6091, 538, 519, 12597, 267, 17094, 956, 543, 25637, 269, 23063, 538, 513, 11381, 543, 3444, 519, 4299, 1850, 936, 519, 1850, 693, 519, 12597, 269, 1452, 2241, 2093, 666, 581, 1031, 3533, 547, 9350, 267, 1445, 267, 10332, 269, 1160, 3064, 334, 4003, 1739, 9864, 2367, 529, 576, 551, 3912, 538, 7123, 269, 5606, 3720, 666, 581, 1500, 267, 2705, 267, 689, 4791, 1382, 538, 1312, 5026, 543, 7544, 4915, 585, 16885, 334, 21082, 2866, 585, 519, 13676, 543, 1875, 514, 329, 3293, 15854, 1356, 269, 15579, 707, 2462, 23179, 14461, 865, 782, 5163, 2501, 689, 519, 21721, 269, 21584, 3483, 713, 1353, 4294, 16885, 334, 21082, 5547, 3635, 547, 2550, 609, 28115, 894, 12597, 30169, 543, 8947, 922, 2360, 593, 12597, 269, 1635, 4101, 519, 16885, 334, 21082, 1062, 1498, 1808, 5751, 267, 824, 12597, 4745, 563, 763, 3119, 15717, 609, 606, 513, 743, 28119, 12597, 568, 16132, 269, 5623, 540, 12597, 16885, 334, 4003, 543, 519, 6935, 547, 17119, 640, 1599, 1310, 18751, 2267, 857, 622, 30301, 28230, 28114, 535, 5090, 327, 269, 634, 1909, 540, 16885, 334, 4003, 538, 12597, 522, 320, 2359, 2539, 269, 21584, 519, 7145, 540, 16885, 334, 21082, 22372, 3635, 585, 269, 1160, 3064, 334, 21082, 5751, 786, 2087, 707, 4656, 540, 519, 2990, 267, 4087, 267, 10066, 267, 543, 3350, 540, 707, 21721, 269, 1160, 3064, 334, 21082, 2866, 585, 5580, 17119, 885, 2010, 540, 5751, 1031, 585, 5580, 17119, 640, 16885, 334, 21082, 2866, 269, 1160, 3064, 334, 4003, 5751, 585, 17094, 956, 3666, 2553, 269, 9978, 16885, 334, 4003, 5751, 585, 12597, 875, 547, 1205, 3323, 269, 5623, 540, 12597, 16885, 334, 4003, 543, 519, 6935, 547, 17119, 640, 269, 18948, 540, 7796, 919, 5751, 543, 16885, 334, 21082, 269, 918, 26234, 14304, 5751, 899, 1850, 2046, 525, 267, 2695, 1846, 543, 14694, 5322, 609, 519, 7916, 616, 1806, 540, 2081, 602, 596, 666, 948, 3715, 519, 4276, 1063, 4887, 11103, 676, 2679, 4222, 563, 763, 3483, 540, 519, 1459, 1353, 729, 547, 8495, 2436, 3635, 13251, 22712, 878, 10134, 4887, 3441, 5540, 12597, 16885, 334, 4003, 971, 607, 4745, 2990, 2631, 795, 1186, 267, 3196, 2631, 543, 519, 12939, 269, 21584, 16885, 334, 4003, 568, 513, 2631, 540, 1560, 2990, 6466, 737, 2088, 20469, 4656, 568, 513, 2631, 540, 1560, 3350, 269, 11778, 538, 519, 16885, 334, 21082, 5547, 3635, 1895, 267, 12597, 4745, 4887, 269, 918, 26234, 5945, 267, 838, 1778, 267, 14317, 267, 16885, 334, 1061, 832, 267, 16885, 334, 21082, 5751, 269, 1677, 6218, 519, 1198, 540, 519, 1617, 626, 566, 16885, 334, 21082, 3635, 1982, 593, 5945, 11841, 267, 782, 5396, 945, 20595, 5007, 11689, 1944, 3457, 25329, 610, 11746, 610, 945, 1185, 5892, 5340, 16885, 334, 21082, 5751, 941, 16934, 689, 519, 1353, 269, 5776, 609, 707, 21721, 543, 12597, 540, 519, 4299, 1850, 18761, 609, 707, 3723, 6366, 593, 519, 6989, 269, 4746, 267, 3635, 593, 606, 18633, 2627, 1522, 581, 5363, 585, 5355, 519, 4887, 4222, 543, 12972, 540, 2539, 17119, 885, 607, 1134, 607, 585, 5355, 2168, 1599, 1644, 547, 519, 12597, 4745, 476, 1626, 269, 31055, 8907, 7028, 519, 1863, 1569, 547, 938, 3872, 1543, 543, 922, 10311, 563, 22546, 338, 540, 2597, 321, 8960, 8957, 1875, 7076, 321, 8960, 3635, 593, 269, 9484, 476, 2537, 267, 476, 1001, 273, 16885, 334, 4003, 543, 18913, 29648, 31100, 5955, 6127, 1683, 606, 1271, 5057, 585, 519, 10661, 543, 5826, 540, 6198, 4745, 6617, 269, 1411, 949, 4324, 689, 16885, 334, 21082, 5751, 10872, 952, 269, 4634, 952, 519, 5945, 1281, 660, 2154, 6391, 267, 519, 29886, 2360, 540, 1018, 729, 513, 9583, 5634, 10071, 666, 581, 13542, 727, 267, 693, 1655, 269, 11822, 5751, 666, 581, 2944, 607, 3254, 593, 519, 1394, 540, 519, 2985, 269, 634, 1198, 540, 16885, 334, 4003, 5751, 593, 6198, 269, 1133, 10561, 12597, 522, 320, 2550, 949, 723, 15176, 16885, 334, 21082, 6111, 538, 1312, 19704, 269, 29407, 5751, 513, 2367, 29234, 15237, 568, 513, 1455, 12597, 4745, 5945, 563, 306, 2869, 531, 543, 15497, 533, 333, 325, 3270, 11168, 4232, 2218, 269, 21584, 16885, 334, 4003, 3069, 543, 4052, 3156, 269, 1160, 3064, 334, 4003, 568, 519, 2631, 540, 8159, 519, 2990, 543, 3350, 540, 519, 30273, 1062, 9571, 676, 2027, 13364, 538, 6091, 543, 28844, 269, 15015, 3797, 267, 3635, 3797, 267, 610, 1312, 267, 538, 1840, 547, 8912, 1416, 269, 5564, 15363, 10444, 3403, 267, 23608, 689, 519, 1474, 520, 657, 29022, 267, 3308, 543, 22514, 24212, 1949, 267, 568, 4607, 543, 9268, 676, 519, 2634, 269, 1133, 10561, 1489, 4187, 2866, 6220, 519, 12048, 543, 269, 9978, 16885, 334, 4003, 5751, 585, 12597, 875, 547, 1205, 269, 1763, 13554, 12597, 19755, 538, 9361, 267, 936, 6316, 540, 5127, 269, 2991, 606, 513, 743, 5945, 267, 22907, 2049, 538, 4222, 476, 4375, 267, 16885, 334, 4003, 476, 2412, 267, 6321, 267, 4887, 12557, 476, 4649, 543, 32376, 3270, 269, 3367, 2376, 585, 1863, 267, 689, 1930, 1569, 3656, 2959, 267, 3842, 10002, 599, 13665, 269, 16237, 28517, 267, 560, 4958, 4221, 663, 16885, 334, 4003, 1982, 1721, 5945, 2181, 3685, 269, 10439, 543, 22514, 24212, 11378, 7449, 2925, 16885, 334, 4003, 267, 543, 616, 849, 3769 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 779, 1448, 540, 2070, 267, 2792, 3587, 513, 2603, 811, 4277, 269, 769, 519, 1482, 2796, 267, 20289, 8591, 267, 968, 296, 1224, 513, 1433, 1572, 2372, 842, 612, 775, 1107, 519, 2298, 540, 2348, 2048, 527, 9957, 898, 12909, 827, 519, 1374, 540, 3615, 602, 616, 30883, 24207, 267, 1919, 811, 982, 3274, 5929, 267, 602, 723, 519, 2048, 527, 9957, 594, 6557, 2386, 3127, 849, 814, 602, 1978, 2298, 2048, 527, 685, 538, 922, 2528, 269, 898, 1522, 711, 8209, 581, 28624, 17393, 793, 855, 621, 814, 602, 2283, 2225, 547, 621, 602, 2306, 621, 865, 3407, 14156, 607, 1134, 607, 9308, 9731, 2690, 5756, 15587, 267, 10229, 814, 1025, 1170, 2685, 15763, 519, 3693, 540, 1374, 538, 922, 9840, 1299, 5717, 267, 4440, 1317, 607, 1744, 537, 2466, 571, 681, 2967, 932, 3716, 327, 776, 267, 2817, 11300, 10615, 267, 23885, 9442, 12662, 621, 267, 968, 17637, 814, 1831, 513, 1114, 7121, 1631, 267, 1256, 538, 8366, 18428, 267, 606, 8116, 779, 1374, 3646, 1131, 581, 13752, 538, 513, 5094, 9135, 6100, 1809, 3884, 1406, 519, 1374, 2319, 513, 851, 540, 519, 3860, 2319, 286, 589, 2466, 6072, 14600, 571, 267, 2910, 302, 630, 22139, 1070, 3131, 1061, 670, 267, 11099, 267, 968, 1103, 2221, 779, 1158, 540, 804, 13616, 267, 1374, 3587, 513, 2864, 2565, 3693, 547, 1205, 3007, 563, 7197, 7218, 1101, 1413, 2436, 606, 740, 6763, 856, 610, 711, 543, 519, 4295, 1374, 3693, 568, 1018, 2306, 621, 1796, 856, 6100, 1548, 568, 3683, 323, 821, 6902, 2086, 282, 1018, 2115, 547, 581, 2944, 2201, 606, 900, 874, 1738, 4063, 267, 27956, 1575, 7959, 602, 519, 7887, 1966, 609, 519, 9858, 538, 3127, 568, 602, 789, 616, 1360, 1250, 8084, 269, 968, 7197, 540, 873, 723, 1100, 23319, 1018, 1374, 568, 269, 1358, 723, 8854, 547, 1374, 1153, 267, 789, 3494, 538, 2348, 513, 1880, 2186, 540, 688, 1844, 583, 267, 5957, 513, 1880, 2186, 540, 10571, 267, 1694, 543, 2911, 538, 513, 1880, 1259, 543, 723, 513, 1880, 6197, 543, 789, 1589, 602, 602, 779, 1018, 2306, 873, 9858, 9731, 3891, 8591, 602, 930, 540, 519, 1655, 9858, 538, 519, 1158, 723, 711, 1044, 9976, 693, 782, 269, 634, 31132, 540, 519, 1034, 1950, 6191, 616, 32263, 267, 519, 18560, 945, 11827, 513, 1286, 568, 513, 14704, 267, 519, 18560, 945, 11827, 513, 4050, 568, 513, 14704, 267, 519, 18560, 945, 11827, 513, 5985, 6049, 568, 513, 14704, 269, 1809, 646, 2760, 1185, 1279, 4552, 267, 610, 476, 7367, 267, 1822, 22815, 1424, 543, 1705, 711, 3494, 602, 594, 786, 1152, 1413, 693, 15312, 543, 594, 786, 1689, 1250, 4638, 10066, 547, 581, 513, 14704, 267, 799, 646, 14659, 267, 327, 1952, 839, 3833, 1419, 891, 2395, 269, 1261, 849, 19528, 602, 9858, 616, 3843, 547, 1826, 4751, 2933, 6031, 602, 649, 616, 513, 4625, 1114, 9742, 267, 855, 789, 2099, 1152, 1547, 476, 16573, 260, 540, 519, 1374, 1158, 267, 1317, 3388, 538, 713, 1158, 568, 1374, 269, 968, 24613, 547, 606, 1148, 1153, 3085, 1406, 1118, 596, 513, 14704, 267, 6061, 513, 1966, 676, 1210, 707, 5578, 5036, 568, 1018, 2306, 596, 513, 14704, 269, 3807, 1620, 540, 15437, 2306, 596, 513, 811, 12716, 1268, 267, 610, 513, 18048, 267, 855, 602, 3085, 1406, 1118, 596, 513, 14704, 269, 589, 14704, 1590, 581, 2111, 547, 4194, 513, 6198, 1966, 538, 519, 1034, 12716, 1259, 267, 543, 952, 596, 3112, 798, 602, 267, 1287, 972, 779, 513, 1966, 267, 543, 1034, 1004, 538, 938, 2197, 616, 804, 3241, 612, 607, 2484, 607, 713, 568, 7255, 5608, 646, 2417, 8591, 563, 15987, 835, 12582, 1406, 4413, 519, 8375, 3255, 538, 519, 6908, 540, 1374, 269, 4653, 950, 1004, 979, 856, 547, 4444, 513, 2777, 267, 789, 1413, 693, 1945, 799, 568, 811, 6198, 267, 811, 12716, 543, 8754, 1118, 1259, 585, 782, 519, 1732, 1374, 2609, 269, 1809, 519, 1249, 3788, 602, 972, 1522, 581, 1932, 1454, 1445, 593, 15312, 267, 538, 519, 2012, 540, 1374, 269, 9577, 1275, 814, 3144, 513, 1394, 10160, 543, 519, 1525, 1161, 1522, 581, 2938, 11319, 585, 15312, 269, 1656, 602, 779, 3274, 519, 2601, 1946, 971, 513, 2565, 3693, 568, 1869, 556, 1718, 924, 543, 711, 3025, 1483, 2478, 922, 4644, 563, 2252, 596, 616, 2469, 547, 1205, 5645, 2476, 676, 519, 10342, 267, 602, 779, 4636, 267, 952, 596, 616, 2469, 547, 1205, 5645, 2476, 676, 519, 15312, 540, 621, 267, 602, 779, 4636, 1586, 269, 18696, 666, 1152, 581, 9738, 952, 596, 616, 11613, 9237, 547, 513, 3070, 269, 1403, 596, 1413, 693, 1374, 607, 513, 2257, 267, 543, 711, 1175, 606, 12716, 3693, 267, 4440, 1374, 1522, 1205, 922, 1813, 269, 1656, 602, 621, 1058, 267, 1317, 952, 4105, 2609, 616, 711, 2016, 513, 8468, 585, 4901, 267, 621, 1225, 2125, 519, 8458, 540, 3695, 2417, 26441, 543, 3976, 588, 12584, 2208, 1310, 1978, 942, 269, 769, 519, 1870, 540, 6725, 5876, 267, 713, 1131, 581, 1932, 1454, 540, 513, 1981, 547, 1491, 269, 0, 276, 628, 8566, 2784, 619, 27973, 585, 5441, 267, 1809, 10261, 5303, 2336, 7069, 1053, 991, 513, 15291, 543, 513, 17002, 538, 741, 4928, 538, 1931, 547, 798, 741, 1382, 3785, 267, 1413, 585, 1344, 593, 519, 4950, 267, 543, 581, 2111, 547, 1820, 741, 960, 563, 22897, 568, 2921, 936, 519, 1158, 267, 543, 1250, 1053, 616, 4712, 547, 798, 1175, 519, 1482, 256, 3733, 476, 276, 628, 3766, 2784, 619, 723, 2852, 593, 741, 8186, 267, 543, 519, 1152, 1259, 602, 594, 666, 948, 5965, 873, 568, 609, 2029, 269, 10251, 938, 1153, 19330, 1175, 602, 2336, 7069, 476, 276, 628, 3766, 2784, 619, 7390, 513, 1970, 13867, 1153, 538, 606, 4683, 4259, 563, 7069, 476, 3451, 1053, 723, 835, 3364, 538, 2247, 267, 543, 602, 568, 547, 835, 1554, 7390, 2852, 269, 3733, 1053, 616, 1360, 2182, 2324, 267, 543, 789, 2119, 741, 1360, 1655, 1169, 1554, 2336, 3719, 267, 19890, 938, 1153, 4867, 3085, 1405, 723, 519, 7482, 547, 6718, 1007, 5904, 585, 938, 13460, 269, 634, 835, 2780, 649, 723, 538, 519, 4928, 3085, 1405, 960, 269, 898, 781, 9157, 950, 594, 3651, 1382, 3785, 267, 543, 789, 1616, 547, 798, 741, 1382, 538, 519, 4928, 543, 1820, 563, 16352, 513, 2780, 543, 17002, 538, 519, 4928, 786, 948, 538, 865, 1082, 2081, 269, 1358, 666, 946, 519, 2780, 547, 798, 1382, 593, 519, 4950, 267, 543, 789, 786, 581, 2111, 547, 1820, 741, 960, 543, 10467, 269, 901, 786, 1450, 873, 547, 1205, 5432, 609, 1114, 3872, 4609, 602, 616, 1390, 585, 1382, 269, 24614, 666, 1450, 803, 547, 1820, 741, 960, 543, 1256, 2285, 873, 1246, 5346, 2238, 1318, 2476, 563, 296, 786, 849, 581, 2111, 547, 946, 519, 2780, 1282, 960, 23667, 942, 269, 594, 666, 723, 1079, 1053, 693, 513, 942, 946, 519, 2780, 547, 960, 593, 10467, 267, 1404, 3872, 3756, 267, 3092, 269, 634, 1114, 2081, 602, 513, 15291, 666, 581, 3730, 538, 513, 4928, 616, 11995, 563, 22897, 568, 519, 1445, 540, 938, 1053, 262, 5108, 563, 2005, 568, 1360, 1271, 602, 649, 5965, 938, 1053, 676, 20392, 873, 547, 519, 4950, 543, 875, 547, 946, 621, 269, 3733, 1053, 786, 4166, 979, 547, 1164, 1153, 543, 23248, 835, 1554, 7390, 2852, 269, 634, 1152, 1259, 602, 789, 786, 7237, 1967, 568, 952, 594, 5965, 873, 676, 20392, 873, 547, 2029, 1631, 2336, 10673, 832, 16521, 2306, 621, 2653, 585, 4896, 547, 948, 513, 4928, 538, 991, 269, 5398, 1153, 3610, 689, 1169, 7944, 540, 3013, 1711, 4928, 1788, 13668, 267, 543, 596, 666, 2285, 1022, 2179, 547, 519, 1788, 602, 26182, 596, 269, 0, 296, 1589, 519, 6574, 8798, 568, 519, 1826, 540, 3684, 602, 5932, 5201, 689, 7791, 2200, 269, 1280, 1383, 281, 1216, 18434, 267, 2842, 18434, 267, 543, 590, 10422, 10422, 8440, 630, 338, 6897, 13324, 25675, 8440, 8094, 22134, 19172, 10431, 1379, 630, 528, 811, 4122, 1634, 607, 19558, 1077, 264, 910, 2201, 513, 10720, 610, 513, 5757, 972, 568, 2356, 513, 2481, 269, 5620, 596, 2479, 9289, 1018, 568, 3330, 286, 18738, 513, 2481, 972, 616, 1216, 18434, 269, 634, 1216, 608, 1746, 519, 2481, 7140, 519, 18434, 267, 519, 18434, 1287, 1711, 5201, 563, 20360, 18434, 7500, 593, 513, 2582, 6240, 269, 634, 2842, 7140, 519, 5458, 4412, 25527, 267, 799, 1287, 1376, 519, 17081, 269, 634, 2842, 17081, 568, 4448, 547, 519, 3490, 267, 543, 6238, 547, 1711, 1648, 563, 306, 10422, 10422, 8440, 267, 849, 1634, 607, 3859, 13324, 25675, 8440, 267, 6460, 519, 3141, 779, 12345, 883, 5201, 269, 1452, 8440, 1711, 5201, 676, 3078, 519, 9211, 538, 30736, 2281, 1210, 519, 22571, 540, 1769, 689, 519, 3141, 269, 634, 8440, 666, 3761, 1648, 547, 707, 2777, 610, 2816, 563, 1103, 3932, 267, 519, 7791, 1379, 15888, 616, 513, 1259, 547, 2844, 938, 3047, 910, 1216, 18434, 267, 2842, 18434, 267, 543, 590, 10422, 10422, 8440, 269, 8738, 940, 3282, 610, 5755, 2014, 2518, 8337, 267, 799, 568, 3983, 585, 938, 1604, 269, 0, 272, 288, 1507, 610, 18784, 8756, 269, 23883, 538, 834, 332, 2222, 577, 14128, 6676, 257, 10902, 22997, 513, 20249, 19945, 3749, 6676, 609, 18784, 9055, 998, 799, 1769, 949, 2951, 267, 1031, 547, 24244, 606, 9804, 3239, 563, 29995, 538, 1106, 5843, 19305, 269, 589, 1826, 540, 1164, 18286, 1668, 6189, 5189, 538, 476, 2735, 278, 538, 1978, 3631, 540, 22126, 5904, 267, 799, 2636, 811, 982, 835, 1668, 4487, 630, 528, 3844, 4393, 1770, 264, 547, 581, 1031, 538, 513, 2582, 2780, 269, 12751, 569, 5316, 5737, 269, 1496, 288, 22028, 538, 519, 2136, 2276, 269, 14073, 4198, 271, 338, 282, 9998, 946, 1336, 538, 17905, 269, 3245, 2890, 268, 1341, 8756, 269, 0, 30131, 16819, 19791, 538, 5607, 454, 763, 3102, 11891, 540, 5607, 781, 1034, 1271, 4025, 585, 5017, 543, 9265, 267, 834, 30131, 16819, 19791, 538, 5607, 257, 630, 296, 10621, 264, 729, 9250, 593, 476, 1240, 5437, 476, 1220, 275, 693, 519, 476, 274, 6113, 594, 30002, 781, 2622, 11094, 6837, 538, 10854, 330, 758, 563, 763, 594, 10621, 11891, 3370, 676, 16819, 16908, 4139, 267, 14439, 476, 273, 267, 27840, 4609, 267, 8720, 476, 278, 269, 277, 260, 540, 519, 3148, 781, 2698, 2244, 1858, 269, 634, 11891, 3576, 476, 279, 1296, 547, 2347, 267, 5473, 7366, 540, 15022, 603, 5505, 267, 13538, 543, 2229, 5234, 538, 476, 2764, 2477, 543, 11182, 2066, 519, 3003, 5607, 3148, 269, 898, 8711, 912, 763, 11891, 2488, 513, 3280, 4493, 585, 1646, 540, 3084, 5726, 2994, 543, 6870, 2127, 15961, 267, 543, 8711, 2127, 602, 1058, 581, 9580, 12023, 998, 8797, 4507, 543, 2244, 14025, 4058, 563, 268, 769, 2474, 540, 2338, 267, 3624, 814, 519, 5207, 1293, 540, 25153, 2026, 630, 26341, 910, 3624, 22163, 281, 476, 275, 3393, 282, 15990, 281, 476, 7871, 282, 15173, 15158, 281, 476, 273, 282, 5839, 7776, 281, 476, 272, 1070, 3127, 2501, 2034, 630, 275, 4792, 264, 2073, 4553, 676, 12868, 630, 25375, 1916, 268, 769, 2474, 540, 1858, 267, 519, 476, 272, 267, 15221, 267, 275, 1240, 5998, 11054, 540, 25153, 2026, 538, 3624, 6589, 585, 3368, 540, 519, 2698, 25153, 2026, 1858, 538, 519, 3148, 563, 268, 476, 9032, 277, 630, 6246, 8472, 540, 519, 7489, 25153, 2026, 616, 796, 31695, 543, 513, 2417, 476, 23283, 630, 1691, 8472, 616, 1152, 13148, 6870, 563, 268, 634, 11891, 29808, 602, 835, 538, 5216, 540, 519, 3148, 781, 476, 273, 267, 10384, 5017, 616, 12219, 609, 14486, 8259, 891, 2127, 616, 18113, 6870, 543, 7307, 269, 0, 8368, 540, 12937, 10778, 12749, 21909, 687, 476, 1015, 12384, 8018, 10778, 1015, 12384, 8018, 1677, 2347, 713, 4976, 707, 1126, 786, 991, 547, 1413, 693, 519, 2338, 593, 1142, 29950, 543, 3313, 952, 789, 616, 513, 3501, 4009, 547, 10625, 519, 3009, 1018, 2306, 513, 1297, 513, 3501, 4009, 713, 4976, 769, 824, 1913, 2482, 1055, 519, 3211, 543, 15460, 1832, 2542, 585, 476, 1015, 1187, 2979, 2238, 585, 14477, 6003, 1142, 4009, 1063, 476, 272, 543, 476, 736, 4063, 952, 707, 4819, 4991, 11821, 596, 666, 901, 2724, 2979, 4976, 568, 513, 1390, 1259, 547, 2285, 9656, 1053, 2259, 7114, 11113, 723, 873, 10544, 741, 22796, 543, 1205, 4712, 547, 896, 1467, 782, 519, 20453, 5858, 782, 519, 546, 1307, 1747, 563, 1015, 12384, 8018, 1215, 1053, 616, 1373 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 334, 3097, 15235, 453, 14006, 7845, 328, 314, 4486, 24557, 22238, 454, 4848, 453, 258, 10817, 731, 32115, 1714, 27089, 632, 3288, 804, 848, 598, 25650, 2625, 8494, 21059, 454, 4848, 453, 16673, 528, 22238, 284, 10946, 9638, 739, 7845, 328, 267, 1883, 284, 14006, 7845, 328, 10947, 994, 4848, 453, 4289, 335, 1042, 545, 6910, 5560, 27364, 542, 9222, 15631, 272, 6012, 16673, 528, 22238, 7481, 453, 16596, 5286, 15126, 17338, 335, 1042, 545, 264, 15235, 692, 258, 293, 15635, 542, 6446, 3339, 21289, 17485, 3611, 657, 454, 3698, 3339, 714, 541, 291, 520, 657, 263, 743, 553, 881, 11456, 28504, 520, 657, 2567, 3097, 453, 258, 15050, 32115, 1714, 512, 16120, 1470, 632, 8356, 652, 571, 1319, 10961, 632, 3611, 657, 454, 453, 339, 16120, 1470, 815, 3611, 657, 17482, 314, 272, 316, 910, 476, 272, 454, 453, 3901, 10961, 5332, 5436, 714, 3385, 815, 3611, 657, 692, 22610, 1775, 538, 2039, 6025, 16120, 1470, 2187, 453, 453, 258, 13961, 1714, 693, 1026, 19513, 1100, 1965, 796, 546, 27364, 542, 9222, 7477, 1470, 1542, 4673, 6446, 1609, 32115, 24970, 454, 453, 453, 258, 796, 693, 1026, 19513, 2585, 334, 454, 453, 14851, 804, 553, 881, 11456, 6155, 525, 341, 8469, 8266, 5157, 14158, 4848, 453, 258, 15050, 32115, 17485, 1130, 2803, 552, 3288, 964, 12858, 30685, 586, 3288, 2923, 454, 4848, 453, 11743, 815, 804, 553, 881, 11456, 6155, 525, 341, 8469, 8266, 5157, 6012, 262, 11743, 23300, 4848, 453, 560, 323, 815, 804, 553, 881, 11456, 6155, 525, 341, 8469, 8266, 5157, 6012, 262, 560, 323, 23300, 4848, 453, 3901, 10961, 5332, 5436, 714, 3385, 314, 2433, 2073, 1775, 316, 815, 630, 323, 520, 657, 314, 2433, 2073, 1775, 316, 910, 10581, 263, 11743, 4297, 1315, 10581, 263, 560, 323, 2020, 453, 453, 258, 13961, 1714, 546, 27364, 542, 9222, 1609, 320, 7477, 1470, 694, 959, 520, 4673, 632, 796, 693, 337, 8117, 334, 15739, 1729, 11188, 3138, 6446, 454, 453, 453, 258, 1100, 512, 1329, 324, 2366, 18480, 3339, 714, 541, 454, 453, 28432, 912, 4848, 453, 258, 1955, 27146, 574, 657, 544, 839, 1690, 324, 632, 5470, 454, 4848, 13537, 2891, 15307, 553, 8247, 18372, 3339, 714, 541, 598, 693, 1026, 583, 657, 771, 4038, 657, 23528, 4848, 453, 258, 13961, 1965, 796, 693, 1026, 19513, 15739, 1729, 454, 4848, 453, 3901, 10961, 5332, 5436, 714, 3385, 314, 2433, 2073, 1775, 316, 815, 3611, 657, 314, 2433, 2073, 1775, 316, 1948, 31333, 1965, 15739, 1729, 1100, 512, 1329, 324, 2366, 18480, 3339, 714, 541, 692, 16596, 1319, 10961, 5332, 5436, 714, 3385, 692, 258, 6480, 320, 30775, 542, 1608, 4788, 320, 15255, 1199, 5362, 586, 964, 12858, 30685, 525, 9133, 545, 553, 454, 258, 632, 524, 3385, 693, 1026, 19513, 2585, 334, 454, 3698, 1608, 4788, 300, 2664, 553, 5327, 341, 263, 743, 553, 881, 11456, 267, 3611, 739, 1778, 2187, 453, 258, 31201, 657, 796, 546, 27364, 542, 9222, 7477, 1470, 6446, 25077, 571, 3288, 2923, 586, 3288, 964, 12858, 30685, 9133, 3821, 454, 453, 332, 4215, 5091, 525, 12858, 30685, 815, 31460, 453, 258, 6726, 32115, 3288, 2923, 3351, 714, 18372, 15255, 30775, 542, 525, 632, 11885, 454, 453, 332, 4215, 5091, 525, 12858, 30685, 14277, 11743, 19312, 815, 5286, 32557, 5560, 520, 739, 1778, 264, 28768, 453, 258, 6726, 32115, 3288, 964, 12858, 30685, 9133, 3821, 3351, 714, 18372, 15255, 30775, 542, 525, 632, 11885, 454, 453, 332, 4215, 5091, 525, 12858, 30685, 14277, 560, 323, 19312, 815, 5286, 14714, 323, 5560, 520, 739, 1778, 2020, 453, 258, 15050, 32115, 3288, 964, 12858, 30685, 9133, 3821, 586, 3288, 2923, 679, 1714, 804, 553, 881, 11456, 454, 453, 743, 553, 881, 11456, 6155, 525, 341, 8469, 8266, 6910, 9852, 4215, 5091, 525, 12858, 30685, 2020, 258, 13641, 528, 527, 15879, 1654, 11142, 657, 9938, 574, 657, 454, 5035, 1849, 553, 881, 11456, 309, 1815, 16394, 3682, 343, 574, 657, 263, 5141, 553, 881, 11456, 17107, 22592, 6449, 8181, 9191, 1345, 267, 737, 284, 273, 267, 16453, 25716, 2187, 453, 19677, 21993, 815, 737, 454, 453, 19677, 12991, 5436, 815, 16453, 454, 453, 19677, 6745, 1778, 8368, 815, 7183, 3097, 453, 19677, 6155, 525, 341, 8469, 8266, 815, 32582, 3097, 3097, 22592, 1303, 1066, 600, 1304, 334, 4311, 28504, 520, 739, 1778, 267, 520, 1026, 583, 657, 11514, 4038, 657, 28504, 27364, 542, 9222, 17107, 453, 453, 23437, 1582, 6155, 525, 341, 8469, 8266, 11468, 2639, 453, 453, 23437, 1582, 6745, 1778, 8368, 692, 453, 14851, 1582, 12991, 5436, 912, 4848, 453, 21653, 284, 6352, 5560, 27364, 542, 9222, 264, 910, 476, 272, 3097, 4848, 22610, 1775, 538, 2039, 4433, 1125, 2187, 15235, 14851, 693, 1026, 583, 657, 11514, 4038, 657, 5157, 14158, 20930, 19677, 6155, 525, 341, 8469, 8266, 6910, 20719, 348, 994, 15235, 28432, 912, 20930, 453, 5632, 4788, 300, 2664, 553, 5327, 341, 4311, 28504, 520, 739, 1778, 18020, 328, 20285, 4848, 19677, 6745, 1778, 8368, 815, 3339, 714, 541, 291, 520, 657, 4311, 28504, 520, 739, 1778, 2020, 453, 28432, 912, 4848, 19677, 6745, 1778, 8368, 815, 3611, 739, 1778, 692, 22592, 804, 553, 881, 320, 4311, 28504, 520, 739, 652, 267, 520, 1026, 583, 657, 11514, 4038, 657, 28504, 27364, 542, 9222, 17107, 453, 14851, 1582, 12991, 5436, 912, 4848, 453, 11687, 8266, 815, 3339, 714, 541, 291, 520, 657, 4311, 28504, 520, 739, 652, 264, 8528, 453, 28432, 912, 4848, 453, 11687, 8266, 815, 3611, 739, 652, 692, 453, 453, 743, 1162, 8266, 815, 29129, 453, 22610, 2083, 538, 1449, 8266, 912, 4848, 453, 8266, 18850, 1734, 815, 11713, 4848, 22610, 1775, 538, 2039, 4311, 6745, 1778, 8368, 17482, 314, 271, 316, 2187, 15235, 453, 8266, 18850, 1734, 6910, 5560, 2700, 4318, 16090, 22470, 4311, 6745, 1778, 8368, 5157, 267, 18737, 272, 3910, 1496, 16344, 11468, 268, 272, 14963, 4917, 4848, 453, 338, 9285, 18850, 1734, 19340, 815, 5286, 269, 16911, 677, 263, 8266, 18850, 1734, 994, 4848, 453, 333, 792, 12218, 815, 1582, 6745, 1778, 8368, 314, 338, 9285, 18850, 1734, 19340, 314, 271, 281, 1345, 21993, 3910, 910, 272, 2639, 4848, 453, 743, 1162, 4415, 15575, 815, 5286, 12500, 4532, 870, 3799, 792, 12218, 269, 770, 4286, 17301, 4297, 3097, 4848, 453, 743, 1162, 8266, 6910, 17301, 263, 743, 1162, 4415, 15575, 27769, 10946, 3890, 11723, 453, 453, 20135, 815, 5286, 15126, 263, 743, 1162, 8266, 2020, 453, 16596, 2698, 7531, 258, 13641, 528, 527, 15879, 1036, 637, 542, 26848, 320, 454, 5035, 1849, 553, 881, 11456, 8802, 637, 542, 19868, 2065, 320, 263, 5141, 553, 881, 11456, 17107, 22592, 6449, 8181, 9191, 1345, 267, 16453, 815, 8771, 267, 22184, 284, 275, 267, 1003, 318, 777, 1066, 815, 476, 272, 2187, 453, 19677, 9884, 21129, 815, 5286, 15126, 263, 15405, 453, 19677, 8542, 636, 318, 777, 1066, 815, 1003, 318, 777, 1066, 454, 453, 19677, 269, 788, 5255, 815, 22184, 454, 453, 19677, 12991, 5436, 815, 16453, 454, 453, 19677, 6155, 525, 341, 8469, 8266, 815, 11713, 453, 19677, 6745, 1778, 8368, 815, 7183, 692, 22592, 1036, 318, 8421, 4311, 267, 3611, 657, 267, 530, 267, 1775, 17107, 453, 453, 343, 815, 5286, 15126, 263, 15405, 453, 453, 343, 815, 5286, 6910, 3287, 2073, 12639, 6910, 263, 272, 267, 3611, 657, 5157, 6012, 18737, 272, 28413, 453, 453, 342, 343, 815, 5286, 31715, 18828, 6745, 4920, 2821, 26028, 1070, 1535, 994, 4848, 454, 453, 453, 333, 868, 815, 476, 272, 14370, 272, 1341, 5286, 269, 10339, 8987, 342, 343, 11723, 453, 16596, 1535, 19885, 868, 7531, 22592, 1303, 1066, 600, 1304, 334, 4311, 28504, 520, 739, 1778, 267, 520, 1026, 583, 657, 11514, 4038, 657, 28504, 27364, 542, 9222, 2187, 453, 453, 23437, 1582, 6155, 525, 341, 8469, 8266, 11468, 2639, 453, 453, 23437, 1582, 6745, 1778, 8368, 8528, 453, 453, 324, 329, 655, 267, 897, 815, 3611, 739, 1778, 17482, 454, 453, 453, 342, 815, 5286, 15126, 263, 31156, 453, 14851, 1582, 12991, 5436, 912, 4848, 453, 21653, 284, 6352, 5560, 27364, 542, 9222, 264, 910, 476, 272, 8528, 4848, 22610, 1775, 538, 2039, 4433, 1125, 2187, 15235, 14851, 693, 1026, 583, 657, 11514, 4038, 657, 5157, 14158, 20930, 19677, 6155, 525, 341, 8469, 8266, 6910, 20719, 348, 994, 15235, 28432, 912, 20930, 453, 5632, 4788, 300, 2664, 553, 5327, 341, 4311, 28504, 520, 739, 1778, 18020, 328, 7481, 4848, 19677, 6745, 1778, 8368, 815, 3339, 714, 541, 291, 520, 657, 4311, 28504, 520, 739, 1778, 994, 453, 28432, 912, 4848, 19677, 6745, 1778, 8368, 815, 3611, 739, 1778, 692, 453, 22610, 1775, 538, 2039, 263, 3712, 2187, 476, 4848, 453, 342, 815, 5286, 6910, 26028, 267, 7833, 8987, 271, 269, 276, 267, 271, 269, 276, 11723, 453, 22610, 26759, 538, 2039, 4311, 269, 788, 5255, 2187, 4848, 22610, 1775, 538, 2039, 16216, 329, 655, 2187, 15235, 453, 343, 19885, 868, 815, 1582, 269, 2958, 318, 8421, 5560, 520, 739, 1778, 267, 530, 267, 1775, 994, 15235, 22610, 546, 538, 2039, 263, 3712, 2187, 20930, 453, 342, 314, 323, 316, 815, 530, 314, 323, 316, 910, 1582, 8542, 636, 318, 777, 1066, 16732, 333, 868, 910, 3611, 739, 1778, 5157, 267, 910, 272, 8079, 265, 1535, 314, 323, 6540, 453, 19677, 9884, 21129, 815, 530, 22562, 22592, 804, 553, 881, 320, 4311, 28504, 520, 739, 652, 267, 520, 1026, 583, 657, 11514, 4038, 657, 28504, 27364, 542, 9222, 2187, 453, 453, 324, 329, 655, 267, 897, 815, 3611, 739, 652, 17482, 454, 453, 453, 335, 9438, 815, 11713, 8931, 453, 453, 290, 272, 815, 476, 272, 454, 453, 453, 290, 273, 815, 476, 271, 7531, 453, 14851, 1582, 12991, 5436, 912, 4848, 453, 879, 868, 652, 815, 3339, 714, 541, 291, 520, 657, 4311, 28504, 520, 739, 652, 264, 3097, 453, 28432, 912, 4848, 453, 879, 868, 652, 815, 3611, 739, 652, 692, 453, 22610, 1775, 538, 2039, 16216, 329, 655, 2187, 4848, 453, 343, 19885, 868, 815, 1582, 269, 2958, 318, 8421, 263, 879, 868, 652, 267, 1582, 9884, 21129, 267, 1775, 264, 8528, 4848, 14851, 562, 868, 10922, 476, 271, 269, 276, 912, 15235, 453, 335, 9438, 6910, 18154, 273, 994, 4848, 453, 19197, 562, 868, 3436, 476, 271, 269, 276, 912, 15235, 453, 335, 9438, 6910, 18154, 272, 994, 4848, 454, 453, 16596, 5286, 15126, 9638, 9438, 2020, 0, 258, 11372, 850, 767, 769, 615, 13330, 1477, 5035, 10960, 6769, 825, 1219, 3548, 4311, 8029, 8587, 1820, 3488, 28848, 1862, 20298, 5035, 13928, 263, 27154, 8029, 567, 1219, 13626, 4311, 8029, 8587, 1820, 3488, 289, 1046, 532, 1862, 20298, 5035, 17926, 291, 690, 20573, 690, 8029, 825, 1219, 649, 788, 4311, 8029, 1038, 1820, 3488, 2171, 9429, 1862, 20298, 323, 284, 289, 17879, 291, 690, 14052, 323, 4318, 520, 14052, 323, 12500, 1046, 14052, 323, 269, 933, 788, 31476, 258, 21296, 769, 615, 13330, 1477, 5035, 3689, 24998, 8029, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 2706, 263, 5575, 267, 1582, 1040, 1029, 8181, 9191, 3418, 1038, 1820, 2891, 14140, 14744, 5897, 5035, 5822, 24998, 8029, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 2706, 263, 13553, 267, 1582, 1040, 1029, 8181, 9191, 3418, 1038, 1820, 2891, 16149, 14744, 5897, 5035, 12059, 263, 13553, 267, 3689, 8029, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 2706, 263, 23612, 267, 1582, 1040, 1029, 8181, 9191, 3418, 1038, 1820, 2891, 628, 2273, 14744, 5897, 23612, 3890, 282, 0, 326, 549, 1356, 344, 815, 18358, 30103, 3299, 1412, 332, 20488, 3299, 1412, 8117, 614, 11172, 1477, 523, 636, 4733, 294, 549, 1356, 344, 815, 26246, 14116, 549, 1356, 344, 10142, 2745, 263, 6943, 263, 523, 636, 4733, 294, 549, 1356, 344, 264, 10142, 258, 14291, 547, 1592, 1477, 2745, 17338, 263, 523, 636, 4733, 294, 549, 1356, 344, 264, 10142, 258, 4657, 519, 9949, 4831, 1477, 523, 636, 4733, 294, 549, 1356, 344, 815, 26246, 14116, 549, 1356, 344, 267, 476, 1015, 3418, 2745, 17338, 263, 523, 636, 4733, 294, 549, 1356, 344, 17903, 0, 258, 476, 13200, 509, 29873, 421, 504, 493, 10951, 374, 421, 359, 490, 13644, 479, 419, 510, 479, 454, 5814, 623, 6579, 269, 15862, 607, 3239, 454, 5814, 623, 6579, 269, 15862, 19352, 607, 2721, 454, 5814, 623, 6579, 269, 15862, 293, 2632, 607, 708, 326, 325, 2632, 454, 5814, 4351, 692, 325, 2632, 815, 708, 326, 325, 2632, 6745, 745, 1214, 701, 16868, 257, 292, 24097, 421, 496, 509, 30837, 503, 315, 7090, 19061, 315, 25582 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1118, 1603, 811, 4277, 543, 7524, 269, 769, 713, 1788, 267, 596, 786, 1268, 1518, 606, 3662, 610, 1843, 543, 1020, 707, 1650, 883, 606, 2228, 1433, 610, 19347, 20419, 269, 634, 1353, 689, 4950, 596, 883, 519, 3381, 3756, 269, 0, 296, 6557, 2386, 713, 568, 606, 4277, 2243, 1318, 1055, 519, 10627, 267, 1317, 594, 917, 602, 1082, 540, 596, 267, 543, 721, 267, 946, 891, 2474, 30430, 269, 1809, 649, 2141, 723, 513, 29886, 2243, 693, 519, 1394, 540, 938, 8186, 607, 547, 799, 835, 621, 2731, 568, 888, 16352, 1767, 602, 267, 621, 568, 2693, 602, 1082, 540, 596, 1810, 1406, 2731, 1416, 1317, 1312, 519, 4411, 543, 519, 2770, 1118, 721, 1745, 865, 29695, 267, 602, 782, 649, 666, 1589, 827, 568, 3478, 7759, 540, 627, 31295, 835, 621, 568, 269, 1656, 713, 4422, 2523, 585, 938, 1453, 1317, 789, 666, 581, 31029, 585, 513, 4816, 610, 513, 1126, 1317, 649, 1419, 1745, 602, 621, 779, 1945, 824, 982, 891, 1079, 563, 20062, 2969, 11404, 4785, 2464, 5990, 300, 888, 5445, 616, 1312, 3361, 676, 8290, 267, 891, 6263, 7103, 267, 1896, 6634, 267, 952, 711, 17542, 267, 540, 799, 621, 1131, 1491, 547, 3514, 593, 513, 8930, 3650, 547, 581, 2938, 676, 513, 21736, 3750, 282, 538, 824, 1913, 267, 789, 3112, 581, 2938, 269, 634, 4411, 3644, 568, 3361, 676, 513, 1895, 540, 8290, 649, 1289, 10910, 514, 990, 21905, 799, 616, 10717, 8290, 10362, 547, 519, 20266, 1941, 8785, 1920, 269, 3509, 1583, 8040, 2291, 269, 901, 1175, 1797, 1082, 1114, 12490, 269, 1924, 519, 1482, 835, 786, 711, 2014, 519, 4411, 782, 519, 942, 269, 2913, 779, 2161, 789, 17967, 563, 14813, 1663, 27833, 630, 528, 2770, 267, 585, 2110, 264, 568, 540, 1079, 2010, 281, 14118, 27833, 589, 543, 14118, 27833, 645, 2097, 689, 519, 1920, 1572, 13106, 3912, 343, 990, 597, 13160, 269, 14118, 27833, 595, 568, 849, 689, 713, 1895, 855, 568, 711, 606, 1271, 2068, 268, 4929, 3644, 607, 971, 269, 8409, 540, 596, 945, 3314, 707, 1686, 786, 11291, 519, 6855, 540, 827, 476, 4489, 279, 950, 14798, 530, 21317, 856, 6634, 540, 1004, 267, 9811, 7166, 873, 267, 6140, 538, 2342, 563, 20062, 2969, 25758, 966, 7644, 4785, 2464, 267, 4888, 312, 310, 17751, 888, 309, 21905, 267, 2322, 3274, 267, 616, 519, 10545, 2068, 27351, 6748, 7103, 1634, 547, 812, 269, 1358, 723, 7166, 9118, 6634, 540, 1004, 543, 3361, 4576, 538, 6634, 811, 269, 1358, 616, 3743, 585, 3676, 899, 16568, 267, 519, 968, 12704, 2770, 2223, 543, 3676, 899, 5835, 8611, 267, 28939, 267, 9269, 1093, 343, 267, 968, 26156, 20407, 892, 3644, 2068, 267, 17537, 267, 15601, 2241, 343, 594, 1299, 4083, 267, 30133, 267, 543, 267, 540, 1576, 15978, 267, 24954, 267, 4210, 710, 12071, 630, 295, 272, 301, 272, 264, 1851, 1082, 1866, 269, 1403, 596, 1589, 827, 782, 891, 267, 596, 786, 3533, 8275, 602, 972, 568, 1100, 10826, 585, 513, 2582, 835, 269, 2368, 949, 581, 17303, 6417, 609, 930, 6527, 267, 1866, 616, 6146, 619, 269, 18641, 267, 649, 4076, 530, 21317, 930, 1055, 519, 3068, 540, 519, 3618, 267, 971, 607, 1507, 1093, 343, 267, 543, 616, 593, 519, 1259, 547, 530, 31441, 856, 29887, 269, 1809, 952, 10074, 1185, 711, 1044, 2919, 585, 930, 971, 607, 27330, 267, 544, 7927, 630, 305, 4209, 7637, 1070, 4436, 27330, 630, 305, 889, 7578, 1070, 938, 1158, 2551, 1131, 581, 1454, 267, 1454, 1447, 2221, 269, 2859, 827, 14798, 10074, 4166, 563, 12569, 267, 4959, 8668, 589, 2910, 17162, 10758, 589, 18919, 308, 888, 5575, 267, 1491, 4063, 602, 1034, 8290, 3132, 267, 693, 2547, 7620, 267, 7168, 1454, 519, 1482, 2589, 1354, 789, 2253, 547, 1397, 741, 3020, 4778, 269, 5457, 16568, 3323, 899, 1175, 513, 4411, 610, 513, 2770, 267, 1287, 27636, 547, 6146, 1082, 540, 922, 9601, 286, 4634, 7486, 666, 267, 538, 930, 1004, 3132, 4411, 268, 610, 2770, 268, 899, 2589, 950, 513, 1268, 568, 1101, 7783, 563, 3383, 267, 1631, 1577, 779, 1205, 547, 519, 5779, 540, 519, 3390, 269, 2913, 779, 1413, 693, 519, 2589, 543, 5635, 875, 1142, 588, 2931, 909, 563, 293, 14110, 2207, 281, 769, 513, 4411, 267, 621, 568, 4686, 282, 585, 513, 2770, 267, 621, 568, 8984, 267, 1164, 630, 9083, 268, 476, 10441, 674, 264, 543, 454, 331, 6814, 476, 274, 268, 275, 2395, 563, 4047, 4696, 3722, 4047, 281, 1280, 513, 4411, 267, 713, 568, 4686, 282, 585, 513, 2770, 267, 621, 568, 7986, 563, 294, 2894, 2207, 3201, 589, 6224, 2464, 267, 13698, 27486, 281, 1452, 4043, 547, 581, 13581, 952, 835, 814, 513, 4411, 282, 513, 2770, 2356, 3947, 454, 28205, 267, 543, 1419, 16094, 563, 11902, 2316, 294, 16604, 267, 654, 12788, 298, 26614, 281, 589, 4411, 7472, 891, 1152, 7646, 569, 282, 585, 513, 2770, 267, 789, 666, 2063, 454, 1575, 547, 476, 273, 610, 476, 274, 4374, 563, 28692, 3918, 10933, 12327, 11190, 4785, 3582, 281, 901, 4523, 2760, 538, 513, 4411, 282, 538, 513, 2770, 267, 621, 568, 2038, 543, 454, 4306, 308, 13697, 312, 715, 5308, 292, 281, 12019, 24412, 1205, 713, 4122, 282, 519, 2770, 1152, 3123, 621, 454, 306, 16800, 8946, 4629, 2969, 281, 11088, 267, 585, 519, 4411, 621, 568, 1455, 282, 585, 519, 2770, 621, 1152, 4386, 454, 17928, 7417, 313, 5058, 281, 901, 568, 8912, 585, 519, 4411, 282, 585, 519, 2770, 621, 568, 513, 3006, 454, 4596, 308, 21203, 281, 901, 568, 7646, 547, 9793, 538, 513, 4411, 267, 543, 519, 11522, 267, 952, 621, 454, 665, 15479, 267, 568, 28892, 835, 282, 538, 513, 2770, 621, 568, 1455, 543, 666, 454, 2791, 949, 723, 8068, 2907, 602, 540, 519, 1079, 267, 519, 2770, 568, 519, 835, 811, 2693, 547, 2014, 519, 811, 2589, 2429, 707, 1560, 538, 513, 2489, 2631, 269, 769, 1840, 267, 519, 4411, 568, 811, 2693, 547, 2014, 2589, 538, 707, 5580, 7929, 8778, 267, 543, 519, 2770, 538, 707, 2539, 7929, 8778, 267, 602, 568, 707, 2212, 607, 10353, 547, 707, 9221, 585, 519, 1034, 851, 269, 1403, 596, 2307, 803, 267, 594, 666, 798, 1510, 2901, 540, 873, 282, 789, 616, 827, 519, 1034, 30414, 10108, 513, 1268, 666, 1995, 282, 711, 519, 10782, 267, 855, 1175, 519, 1034, 1524, 2431, 13542, 727, 563, 4131, 779, 5635, 1776, 2460, 540, 891, 1079, 2048, 680, 8046, 685, 2390, 519, 1480, 1560, 563, 2690, 519, 4411, 267, 6140, 972, 568, 18980, 20316, 269, 901, 786, 711, 8209, 1611, 18980, 4345, 267, 829, 694, 267, 799, 10522, 513, 9190, 3968, 267, 855, 1928, 543, 9636, 267, 1657, 707, 4064, 610, 2901, 2427, 540, 707, 9224, 563, 2467, 786, 849, 581, 1274, 5995, 269, 1452, 1079, 2589, 1058, 711, 9983, 596, 1317, 649, 1175, 1767, 602, 519, 4411, 11148, 547, 5734, 596, 538, 519, 2212, 563, 4002, 519, 824, 1688, 267, 519, 2770, 267, 607, 1522, 581, 4397, 267, 949, 2014, 513, 32583, 267, 610, 1256, 513, 16415, 267, 543, 713, 8545, 538, 1880, 666, 581, 1272, 268, 17116, 269, 1924, 581, 2264, 540, 519, 2770, 563, 2690, 519, 4411, 267, 972, 568, 9039, 269, 590, 13446, 269, 1809, 594, 3580, 5905, 593, 713, 513, 3787, 538, 513, 2110, 1247, 563, 2690, 519, 2770, 267, 972, 616, 513, 1297, 540, 6527, 799, 616, 2139, 282, 835, 540, 799, 267, 1572, 2549, 656, 611, 710, 267, 949, 581, 2139, 538, 18067, 3821, 267, 1776, 23111, 604, 1663, 269, 634, 5061, 540, 713, 1826, 786, 1832, 519, 2770, 693, 15922, 952, 3144, 1369, 827, 476, 2190, 268, 4366, 3108, 540, 596, 7680, 1022, 2589, 269, 1403, 596, 2907, 723, 519, 2770, 267, 789, 786, 2110, 523, 922, 8653, 543, 24390, 922, 10335, 269, 1809, 789, 616, 711, 547, 581, 2808, 524, 999, 269, 634, 3644, 568, 1869, 7168, 1454, 2469, 547, 2196, 922, 1576, 543, 14853, 922, 9224, 909, 693, 596, 267, 2394, 922, 4712, 547, 4734, 563, 293, 6136, 267, 2523, 538, 2477, 609, 22465, 16374, 267, 971, 607, 519, 772, 2529, 1421, 10074, 616, 2139, 799, 666, 581, 2016, 1282, 519, 2770, 4005, 630, 2887, 543, 5162, 264, 543, 1034, 540, 519, 942, 267, 891, 786, 705, 677, 606, 4323, 540, 519, 2770, 269, 1452, 616, 2139, 3006, 538, 18067, 3821, 607, 1134, 454, 2691, 2139, 267, 27179, 5061, 971, 607, 2549, 656, 611, 710, 267, 543, 519, 10074, 1058, 581, 2016, 547, 1004, 693, 5207, 1981, 540, 8374, 689, 519, 2770, 269, 1452, 1331, 1004, 476, 4792, 1296, 543, 4587, 267, 1453, 476, 277, 268, 2190, 3275, 540, 2085, 267, 1004, 540, 1022, 2085, 609, 5312, 2564, 2175, 1519, 3987, 543, 2295, 610, 5761, 3676, 267, 543, 9176, 2021, 269, 2290, 13946, 520, 282, 27179, 5061, 899, 2549, 656, 611, 710, 616, 711, 9516, 585, 3214, 896, 835, 1032, 269, 1924, 585, 873, 267, 649, 2461, 2731, 14957, 519, 6669, 563, 2690, 519, 4411, 267, 972, 616, 1022, 1297, 540, 1055, 268, 519, 268, 15808, 21339, 547, 14867, 707, 2589, 2394, 519, 3644, 16976, 547, 4734, 596, 4805, 269, 1280, 519, 2770, 267, 621, 779, 519, 1482, 267, 543, 267, 538, 1840, 267, 5061, 899, 2549, 656, 611, 710, 949, 948, 952, 3144, 1369, 476, 2190, 268, 4366, 3108, 540, 12614, 267, 607, 7150, 563, 3086, 267, 3314, 602, 972, 568, 1100, 2126, 602, 786, 6146, 519, 4411, 3644, 267, 610, 1022, 3644, 585, 602, 2339, 267, 9444, 786, 1022, 6146, 519, 2770, 8290, 269, 24391, 585, 1852, 540, 519, 2770, 616, 1572, 27179, 269, 1924, 8164, 596, 1205, 2901, 540, 891, 1079, 267, 11216, 786, 711, 948, 269, 1924, 798, 711, 2322, 2604, 593, 707, 4387, 610, 2119, 547, 3489, 873, 689, 519, 14278, 626, 269, 1411, 949, 581, 3257, 3054, 811, 2800, 538, 519, 1279, 2196, 269, 25095, 7821, 6146, 4551, 267, 932, 26792, 13232, 807, 267, 25599, 11089, 23706, 543, 930, 824, 7103, 267, 10691, 8290, 269, 2201, 8317, 267, 707, 4387, 786, 21559, 873, 952, 646, 11099, 596, 2461, 693, 1981, 540, 513, 28658, 610, 2907, 723, 835, 563, 20062, 2969, 9474, 27345, 645, 4785, 295, 23140, 3008, 454, 2690, 1453, 2025, 2614, 267, 543, 4079, 267, 11613, 269, 3509, 540, 596, 4587, 11570, 786, 917, 811, 827, 891, 982, 803, 267, 855, 1250, 3993, 1031, 1919, 899, 808, 636, 2421, 30926, 267, 10548, 2998, 520, 17382, 267, 20909, 7401, 267, 9932, 543, 18654, 267, 4006, 543, 18654, 543, 1866, 593, 803, 269, 966, 6506, 267, 23081, 14777, 13813, 543, 824, 1919, 547, 6299, 941, 849, 1031, 269, 630, 594, 1031, 547, 13842, 873, 855, 789, 5249, 3006, 1040, 589, 1434, 16185, 585, 519, 11522, 4098, 609, 513, 8743, 548, 538, 519, 11563, 568, 513, 7848, 540, 20909, 7401, 543, 11993, 10433, 563, 7883, 532, 1394, 547, 6604, 513, 3787, 281, 13773, 2476, 689, 2961, 333, 2526, 2621, 269, 3807, 795, 3183, 267, 594, 6557, 3280, 532, 899, 606, 5345, 13370, 626, 269, 898, 779, 1175, 1271, 547, 1577, 596, 917, 602, 713, 568, 950, 519, 8290, 3262, 1034, 1107, 538, 24921, 1141, 1004, 11522, 543, 14229, 324, 2763, 543, 616, 538, 2673, 16133, 1141, 789, 5905, 1142, 824, 609, 8290, 593, 741, 3946, 602, 789, 538, 30541, 1836, 1780, 593, 563, 22142, 6785, 972, 729, 865, 1454, 547, 917, 827, 519, 4411, 543, 519, 2770, 267, 1705, 596, 286, 16593, 596, 3576, 621, 782, 538, 269, 3794, 611, 547, 948, 563, 8450, 596, 1985, 3018, 563, 7804, 269, 661, 28609, 267, 1759, 538, 519, 20448, 540, 18067, 3821, 267, 814, 1044, 606, 19829, 540, 2564, 4648, 267, 538, 2866, 543, 519, 1857, 267, 585, 936, 476, 736, 1296, 269, 0, 763, 2832, 540, 519, 13186, 568, 547, 24559, 1053, 609, 4436, 10952, 16166, 454, 2750, 4624, 1565, 4093, 454, 763, 13186, 6663, 547, 1020, 519, 1739, 1983, 912, 27287, 3206, 1983, 281, 1635, 519, 1439, 540, 519, 13186, 267, 1053, 786, 4159, 513, 18481, 4830, 2565, 1935, 538, 8939, 543, 16208, 519, 18765, 602, 616, 1034, 4143, 741, 1858, 540, 1353, 543, 547, 519, 6626, 8739, 14426, 2796, 538, 799, 789, 7500, 454, 31636, 1983, 281, 1635, 519, 1439, 540, 519, 13186, 281, 910, 1053, 786, 581, 2111, 547, 3927, 5968, 519, 9715, 1702, 543, 22412, 622, 621, 547, 519, 2489, 1857, 282, 910, 2875, 786, 723, 2919, 2596, 8668, 1983, 7282, 1702, 11091, 543, 4483, 563, 13981, 1983, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 17650, 17190, 281, 634, 28249, 540, 11061, 543, 20996, 7177, 692, 307, 1026, 17190, 568, 513, 4241, 543, 6385, 9687, 2361, 602, 18795, 693, 519, 10167, 540, 7998, 543, 7344, 4702, 269, 898, 568, 7255, 609, 519, 3114, 6547, 602, 2049, 950, 1079, 7252, 2097, 883, 3346, 543, 1847, 3448, 547, 1142, 824, 1107, 513, 1184, 1634, 607, 11508, 269, 1452, 6547, 666, 723, 7096, 2360, 593, 519, 2773, 543, 15006, 540, 7344, 3334, 267, 1818, 5513, 17190, 513, 2565, 7156, 538, 4610, 971, 607, 19149, 566, 2257, 267, 2627, 15098, 2029, 267, 543, 2326, 2257, 269, 769, 713, 3184, 267, 649, 786, 5490, 2620, 883, 519, 4909, 3741, 540, 5513, 17190, 267, 3695, 922, 1883, 2035, 543, 3156, 998, 513, 3126, 540, 2502, 543, 7317, 1565, 2238, 780, 272, 269, 674, 9689, 543, 23203, 692, 4263, 922, 4295, 267, 5513, 17190, 568, 782, 827, 1620, 543, 9013, 519, 1950, 4205, 1063, 7252, 538, 5163, 269, 1879, 1079, 7252, 13472, 2250, 1142, 824, 267, 789, 1995, 513, 3196, 1572, 11508, 602, 1727, 4680, 741, 3350, 269, 901, 3196, 814, 1312, 7344, 630, 528, 2168, 264, 543, 3114, 3334, 269, 2755, 519, 7344, 5057, 14340, 689, 22775, 725, 543, 954, 24286, 11315, 1145, 2934, 593, 519, 7252, 267, 519, 3114, 5057, 11710, 689, 519, 5250, 543, 28230, 540, 7636, 7554, 2066, 519, 8818, 780, 293, 2774, 1308, 4229, 2014, 5957, 543, 15237, 593, 7344, 2694, 267, 4227, 741, 14438, 543, 8506, 7928, 5372, 906, 269, 1306, 596, 1522, 4952, 267, 891, 3790, 666, 3533, 1039, 909, 267, 3226, 538, 6080, 1141, 1164, 10727, 543, 1279, 3028, 1272, 616, 14063, 4145, 269, 1635, 19713, 519, 1379, 540, 5513, 17190, 267, 621, 3587, 2009, 547, 1374, 1007, 2326, 267, 23541, 267, 543, 19149, 1218, 602, 7413, 5957, 543, 8831, 519, 3730, 1272, 540, 12227, 780, 273, 269, 17183, 8606, 916, 543, 21940, 776, 700, 17128, 566, 692, 3080, 1259, 547, 11574, 11508, 543, 5957, 568, 676, 2870, 6094, 8825, 8874, 593, 23510, 7252, 269, 19612, 607, 10465, 19149, 566, 267, 713, 4480, 3322, 7311, 513, 4494, 540, 1970, 8686, 4593, 13920, 19149, 656, 2047, 5196, 519, 3346, 1858, 267, 8108, 513, 4557, 20160, 4670, 602, 11151, 4496, 3562, 2173, 13926, 3346, 269, 3683, 942, 267, 2705, 267, 713, 4670, 949, 2736, 1524, 1813, 547, 19852, 17613, 267, 2837, 15088, 267, 610, 17694, 267, 3056, 547, 17105, 11508, 543, 5957, 780, 2414, 2232, 713, 4161, 267, 3173, 723, 5828, 547, 5513, 17190, 547, 1711, 1582, 13463, 2718, 2627, 8874, 5827, 540, 28472, 2933, 896, 4452, 269, 6270, 8874, 2874, 540, 19535, 6675, 602, 12249, 1125, 2390, 3498, 540, 5007, 2566, 267, 7551, 17923, 519, 4670, 543, 19620, 922, 8825, 3601, 269, 589, 1134, 8153, 1383, 568, 519, 946, 540, 13058, 3866, 5652, 671, 603, 328, 2684, 24043, 630, 313, 291, 7894, 264, 4550, 2914, 792, 21187, 538, 5179, 3282, 267, 799, 2746, 26947, 609, 519, 4496, 2627, 547, 1106, 513, 19552, 4837, 4494, 602, 14014, 1996, 1085, 4428, 532, 543, 5957, 780, 274, 269, 31472, 918, 27282, 543, 26457, 19392, 692, 2026, 5018, 4505, 267, 5513, 12950, 6547, 4125, 6125, 8840, 543, 5250, 2066, 519, 8818, 1063, 1079, 23510, 7252, 269, 4197, 519, 737, 27282, 543, 32721, 540, 891, 3157, 568, 1898, 585, 17306, 1570, 5542, 267, 2627, 2126, 2409, 267, 543, 19149, 656, 5888, 269, 8528, 1103, 2489, 267, 5513, 12950, 6547, 8399, 5488, 693, 2362, 5210, 543, 12503, 267, 2175, 602, 616, 11593, 6913, 1282, 23510, 269, 1717, 267, 2188, 971, 607, 2627, 1648, 267, 16358, 6541, 267, 543, 8919, 5834, 666, 849, 1404, 2629, 5107, 538, 8159, 5114, 3928, 543, 1587, 14778, 269, 1677, 635, 12393, 6927, 2417, 267, 930, 5513, 12950, 3157, 8858, 1313, 665, 520, 24608, 2623, 267, 2495, 602, 789, 17108, 607, 811, 5114, 2472, 18645, 593, 519, 2627, 269, 15043, 16762, 3631, 585, 891, 1950, 9259, 3788, 606, 3742, 1858, 540, 1382, 1369, 519, 5513, 17190, 2146, 780, 275, 269, 7351, 12367, 543, 8892, 19648, 692, 13146, 8441, 538, 12985, 9781, 2553, 543, 8097, 2645, 723, 8118, 909, 3078, 1007, 18817, 585, 14236, 5513, 12950, 3157, 538, 13778, 1469, 269, 2311, 558, 2065, 13502, 1631, 5512, 721, 547, 16785, 7636, 8397, 6127, 5817, 11508, 543, 5957, 267, 1247, 4359, 21655, 543, 22794, 2409, 1683, 1463, 4030, 883, 5114, 11444, 543, 1587, 8446, 780, 19185, 6619, 267, 972, 616, 1896, 6932, 3466, 4502, 10223, 269, 17616, 267, 519, 4417, 540, 29113, 3091, 3255, 585, 5958, 908, 3209, 2326, 543, 3889, 609, 3358, 5513, 1670, 3601, 269, 6201, 1331, 3327, 31407, 25683, 267, 22130, 6106, 267, 543, 17560, 14835, 19899, 4310, 23541, 267, 4171, 9058, 4222, 267, 20765, 267, 543, 8143, 19428, 1118, 873, 4998, 10457, 585, 3665, 5054, 780, 30772, 267, 6940, 9270, 3136, 547, 5397, 5647, 538, 5513, 17190, 267, 609, 3646, 5059, 593, 3384, 10357, 7888, 19149, 1218, 543, 23541, 6508, 689, 7791, 2200, 269, 12713, 2861, 11041, 267, 25617, 15559, 267, 543, 3039, 30177, 2099, 9621, 8925, 547, 6671, 7777, 23402, 19149, 1218, 267, 5356, 4824, 2825, 12632, 1510, 18731, 2773, 780, 15563, 267, 5841, 4987, 630, 9590, 264, 543, 3684, 1565, 6620, 9153, 547, 22499, 938, 2702, 547, 5659, 5318, 14449, 6383, 676, 2413, 5513, 1670, 6901, 267, 7175, 4028, 6602, 540, 5892, 7164, 3347, 543, 3270, 269, 23889, 3642, 12454, 4485, 609, 1101, 17376, 514, 3321, 9273, 1223, 17362, 519, 1259, 585, 5963, 16762, 3631, 5827, 540, 13057, 2326, 1646, 543, 11938, 3646, 780, 6962, 692, 1607, 3184, 814, 3177, 606, 538, 3829, 7650, 540, 5513, 17190, 267, 8720, 3584, 8151, 689, 2596, 11508, 543, 5957, 9259, 547, 5969, 12967, 1382, 8846, 538, 4264, 2326, 543, 3642, 29374, 2079, 269, 10801, 267, 649, 723, 15091, 519, 2956, 540, 1620, 519, 15982, 23993, 1063, 11707, 543, 7998, 538, 9598, 908, 5513, 1670, 2773, 267, 607, 1134, 607, 519, 1761, 2640, 540, 19713, 5513, 12950, 6547, 547, 2087, 1062, 4398, 543, 15325, 269, 2060, 4797, 7760, 538, 7384, 1379, 267, 8097, 7207, 267, 543, 7811, 10850, 267, 972, 814, 2760, 1044, 513, 811, 17938, 1791, 908, 942, 547, 581, 851, 540, 519, 7524, 543, 6422, 2361, 540, 5513, 17190, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21652, 1504, 2986, 15379, 7177, 2433, 1280, 4698, 328, 2483, 763, 960, 540, 5122, 8030, 543, 11418, 8030, 568, 1419, 2147, 269, 5637, 946, 4702, 543, 1374, 3301, 543, 3937, 547, 798, 4702, 4247, 269, 5637, 2010, 540, 8030, 849, 1590, 960, 609, 824, 8030, 547, 1865, 4540, 2472, 543, 7399, 585, 4702, 3785, 563, 21652, 1504, 540, 5122, 4702, 2433, 585, 1316, 328, 2483, 11947, 1153, 1053, 5461, 538, 4974, 5122, 610, 11418, 4702, 4324, 689, 2921, 6030, 538, 6323, 543, 2979, 267, 1519, 7223, 267, 29890, 267, 543, 11810, 269, 20043, 538, 26004, 616, 849, 5363, 267, 1317, 5122, 543, 11418, 8030, 1419, 616, 2838, 547, 5965, 2930, 12400, 563, 16978, 3740, 543, 11418, 8030, 3335, 991, 513, 20277, 781, 4110, 538, 5122, 4702, 267, 11418, 4702, 267, 610, 513, 1644, 4702, 2361, 269, 15789, 1331, 4928, 267, 8047, 267, 543, 2361, 2090, 269, 20043, 1331, 3059, 1949, 1374, 267, 11186, 4834, 267, 543, 5122, 4963, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 22379, 1299, 22957, 1315, 17650, 1108, 1315, 17650, 17190, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 6406, 19115, 625, 910, 4197, 15213, 543, 7126, 692, 8702, 267, 1762, 5640, 256, 4653, 649, 786, 7832, 593, 606, 3078, 3460, 998, 1686, 543, 6214, 547, 1451, 827, 3540, 23118, 543, 875, 789, 9305, 547, 1480, 2924, 269, 5620, 596, 2479, 9289, 1018, 3947, 721, 519, 5191, 547, 2769, 6000, 267, 2259, 938, 4984, 267, 610, 5531, 1927, 585, 513, 2014, 649, 3494, 538, 286, 4270, 267, 891, 22624, 616, 1634, 607, 3540, 23118, 267, 799, 616, 20038, 2016, 547, 2043, 676, 6608, 547, 2327, 741, 2596, 2924, 616, 15197, 269, 2913, 781, 4685, 4514, 883, 713, 4241, 1888, 2439, 4131, 781, 1376, 609, 1620, 1141, 891, 2035, 2097, 689, 269, 10801, 1686, 267, 15806, 267, 3401, 267, 543, 8723, 1004, 723, 23503, 1018, 13054, 513, 1175, 2486, 543, 875, 1655, 547, 2149, 1367, 2924, 269, 901, 6643, 2968, 2523, 1271, 1282, 519, 6520, 540, 2037, 2775, 618, 630, 1240, 628, 2540, 1070, 950, 3864, 30921, 3323, 15819, 2025, 5389, 543, 5009, 2601, 267, 2257, 267, 543, 1367, 15698, 269, 5565, 7986, 5515, 267, 7338, 20122, 15816, 543, 3627, 28676, 267, 1185, 1114, 5784, 593, 1480, 2470, 543, 2229, 5107, 780, 24171, 20122, 15816, 5156, 3425, 941, 6923, 25796, 543, 10728, 282, 3976, 267, 646, 11130, 602, 2178, 17710, 543, 7453, 4031, 941, 2556, 547, 2226, 1931, 543, 2061, 14784, 269, 2201, 519, 824, 1688, 267, 3627, 28676, 4718, 3425, 607, 7787, 7919, 5827, 540, 9316, 543, 1582, 3766, 4261, 766, 269, 1261, 2219, 1004, 4646, 7239, 1759, 593, 9844, 543, 8815, 2390, 3652, 547, 8190, 1272, 267, 15698, 267, 543, 3959, 269, 2052, 596, 4952, 2713, 538, 513, 2486, 3366, 676, 2576, 899, 7338, 20122, 15816, 8957, 835, 11461, 676, 3627, 28676, 781, 3741, 2496, 3086, 1577, 781, 3728, 4464, 547, 2221, 781, 1158, 269, 1284, 666, 1294, 24790, 540, 1312, 10952, 4485, 5935, 2797, 1949, 1472, 519, 8608, 269, 1280, 3236, 267, 2477, 899, 519, 2136, 2276, 1246, 6054, 971, 607, 519, 9139, 543, 9291, 540, 7126, 267, 10771, 1367, 23118, 899, 1863, 4633, 543, 3909, 5191, 269, 11531, 267, 824, 6082, 949, 10709, 2509, 6793, 3844, 8128, 3246, 3354, 543, 6617, 1247, 12145, 1978, 2123, 22624, 780, 4913, 267, 1256, 1369, 11180, 7239, 267, 2055, 8451, 3823, 519, 3666, 1063, 7104, 10304, 543, 1367, 2924, 269, 2368, 8044, 602, 1932, 1454, 1445, 593, 7863, 3540, 23118, 1223, 1291, 547, 1514, 19727, 610, 10714, 540, 1898, 1857, 2533, 269, 11524, 4831, 602, 28142, 4909, 22624, 2144, 3941, 9111, 543, 5012, 1524, 513, 31868, 2044, 9386, 4724, 2278, 23540, 269, 898, 781, 2629, 547, 2015, 1483, 3734, 7653, 547, 1732, 1174, 891, 1950, 2152, 780, 5331, 1373, 513, 1164, 1153, 2875, 12180, 513, 12560, 13889, 1996, 2916, 1689, 269, 1411, 1616, 707, 5639, 4862, 855, 5855, 2199, 1876, 11268, 1522, 20818, 9993, 1813, 547, 3106, 4145, 269, 1215, 1131, 596, 1745, 952, 707, 1318, 547, 10198, 729, 3908, 286, 2107, 4605, 3054, 607, 513, 2385, 4171, 1126, 1140, 1742, 513, 1153, 3450, 11786, 3584, 269, 9701, 3506, 581, 4847, 547, 6430, 741, 6437, 11884, 267, 610, 798, 3237, 723, 513, 2161, 538, 1018, 2418, 616, 6026, 693, 3872, 5238, 286, 9181, 532, 3871, 899, 891, 2337, 12172, 1946, 13326, 3540, 23118, 543, 6848, 2115, 3788, 606, 5571, 4161, 585, 14519, 5001, 780, 1103, 3932, 267, 3540, 23118, 1404, 513, 4105, 1909, 538, 30176, 1480, 2924, 543, 4180, 14619, 1369, 2950, 269, 1635, 6313, 3140, 5380, 543, 4207, 21140, 267, 649, 2744, 3407, 4030, 883, 519, 10347, 11466, 2838, 547, 2463, 1367, 22624, 1247, 4509, 10103, 1851, 3309, 5095, 269, 5457, 267, 9363, 5483, 543, 7722, 538, 18523, 6927, 6087, 1142, 540, 721, 547, 3565, 9797, 547, 938, 9687, 7239, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 4523, 547, 519, 6392, 540, 519, 2413, 1533, 950, 621, 17046, 569, 3762, 3297, 519, 2669, 15163, 888, 13563, 11122, 32236, 814, 2141, 3769, 17024, 945, 15653, 519, 21654, 269, 12465, 1235, 267, 12779, 665, 976, 969, 2510, 267, 543, 930, 13794, 540, 24955, 18135, 1380, 30199, 519, 21654, 538, 922, 30810, 585, 519, 5837, 476, 1571, 543, 7214, 1476, 16272, 540, 519, 2413, 1158, 269, 4033, 11122, 2510, 538, 3013, 941, 811, 16496, 267, 8508, 3627, 28676, 543, 2093, 689, 519, 9793, 13677, 21654, 602, 5280, 3337, 519, 1977, 15713, 563, 9213, 930, 11122, 2510, 616, 3843, 547, 18534, 1901, 1977, 11122, 32236, 7357, 538, 741, 1378, 3239, 267, 513, 1184, 602, 3322, 3843, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4805, 1185, 2907, 2220, 8215, 547, 936, 513, 2929, 543, 513, 3368, 2367, 267, 3670, 2053, 607, 1082, 607, 1185, 8854, 547, 519, 5053, 12677, 2782, 282, 538, 6115, 5176, 476, 736, 267, 1822, 2367, 1185, 12943, 519, 1289, 547, 7916, 269, 630, 296, 321, 573, 1421, 476, 272, 268, 1839, 268, 1240, 6032, 269, 476, 274, 267, 476, 278, 994, 17829, 711, 6028, 519, 24020, 585, 18246, 10279, 538, 519, 8136, 941, 538, 513, 1753, 4395, 9575, 538, 519, 17680, 1186, 540, 3303, 2718, 10637, 269, 2311, 519, 1439, 540, 5130, 519, 4972, 540, 8534, 9307, 602, 519, 1942, 540, 2713, 1185, 2799, 476, 2537, 2600, 538, 519, 12732, 540, 835, 1032, 269, 7324, 1426, 560, 32332, 267, 8970, 7594, 3366, 1055, 609, 606, 2333, 540, 476, 9262, 2600, 936, 519, 1482, 1974, 269, 32365, 4553, 513, 11397, 2034, 267, 16246, 476, 7830, 2600, 267, 4553, 676, 10365, 267, 693, 476, 4375, 2600, 543, 5144, 267, 609, 513, 476, 3451, 2600, 2333, 538, 1942, 269, 8307, 12277, 267, 20013, 540, 519, 589, 889, 1248, 962, 731, 10448, 13602, 267, 1185, 3254, 513, 6175, 269, 12397, 7594, 267, 593, 519, 824, 1688, 267, 1185, 2799, 476, 14096, 2600, 538, 3902, 689, 519, 14656, 3275, 540, 476, 4489, 274, 547, 519, 1439, 540, 476, 4489, 278, 269, 630, 296, 321, 573, 1421, 476, 272, 268, 1839, 268, 1240, 533, 269, 476, 278, 994, 1103, 589, 889, 1248, 267, 5130, 729, 711, 1510, 922, 2042, 269, 26128, 8387, 3357, 547, 4884, 547, 1413, 883, 6811, 602, 2199, 695, 26802, 267, 2864, 982, 2628, 1100, 1629, 584, 14141, 676, 13059, 513, 1286, 3533, 547, 3028, 267, 9053, 547, 2628, 519, 1079, 13362, 2557, 543, 796, 2903, 513, 1286, 693, 741, 1378, 10605, 267, 24395, 908, 519, 1286, 17732, 269, 630, 288, 889, 1248, 31248, 7304, 788, 3016, 534, 267, 476, 272, 268, 1240, 268, 1240, 533, 269, 476, 279, 264, 1677, 27513, 519, 695, 26802, 593, 267, 1629, 584, 14141, 3928, 1185, 1044, 536, 22981, 909, 513, 13362, 513, 1554, 676, 519, 1439, 540, 519, 3923, 269, 630, 296, 321, 573, 1421, 476, 272, 268, 1839, 268, 1240, 533, 269, 476, 279, 264, 2201, 519, 6640, 540, 5130, 476, 1691, 267, 513, 11728, 267, 513, 16420, 540, 10913, 7018, 269, 595, 8712, 585, 1614, 1114, 20739, 4242, 3357, 538, 607, 3728, 607, 519, 5721, 771, 6312, 7815, 1223, 1289, 269, 898, 8604, 547, 581, 7715, 3429, 1919, 513, 2370, 1932, 1454, 269, 595, 8712, 593, 14884, 602, 1185, 2451, 519, 986, 2812, 693, 667, 644, 2917, 267, 630, 333, 792, 7581, 4432, 636, 264, 5101, 517, 543, 6022, 1067, 808, 4233, 941, 4080, 538, 513, 12732, 540, 1175, 4557, 3764, 543, 20739, 9535, 1212, 9749, 689, 589, 889, 1248, 543, 570, 659, 5448, 4166, 18188, 7532, 269, 630, 296, 321, 573, 1421, 476, 272, 268, 1240, 268, 1240, 533, 269, 476, 279, 264, 1635, 519, 476, 1839, 628, 267, 1079, 811, 20739, 4242, 1185, 7018, 269, 23448, 476, 5611, 278, 4639, 267, 609, 476, 3583, 13907, 540, 5755, 13351, 1776, 7178, 20129, 693, 1635, 6113, 521, 4575, 538, 513, 5230, 20893, 269, 634, 2212, 1439, 12284, 540, 519, 476, 5611, 278, 29860, 2312, 267, 607, 1705, 519, 15493, 15134, 12284, 540, 519, 824, 5721, 269, 5422, 476, 5611, 278, 338, 8673, 7901, 729, 23041, 538, 267, 855, 711, 1354, 621, 30774, 998, 519, 9348, 5366, 543, 1079, 4216, 322, 1513, 6619, 267, 519, 8545, 540, 799, 729, 19890, 513, 4452, 540, 20711, 956, 585, 8805, 11066, 269, 634, 1079, 14884, 1185, 2451, 20855, 2532, 520, 547, 519, 7532, 1175, 5722, 3764, 6306, 269, 630, 296, 321, 573, 1421, 476, 272, 268, 1839, 268, 1240, 533, 269, 476, 279, 264, 2311, 476, 277, 281, 1789, 589, 8160, 269, 593, 5130, 476, 2190, 513, 1286, 3846, 1243, 538, 513, 5721, 936, 519, 6022, 1067, 12338, 14114, 742, 267, 1175, 5195, 856, 540, 589, 889, 1248, 269, 901, 3361, 2947, 1286, 2903, 338, 540, 5374, 547, 2196, 998, 513, 5569, 540, 8900, 10833, 4464, 269, 1280, 519, 1985, 476, 2190, 3108, 782, 14884, 941, 1033, 10696, 936, 519, 14887, 8905, 540, 519, 21207, 2917, 7412, 269, 630, 296, 321, 573, 1421, 476, 272, 268, 1839, 268, 1240, 533, 269, 476, 279, 994, 21938, 4718, 519, 26128, 3843, 1945, 1007, 538, 519, 13452, 269, 589, 4579, 729, 1577, 547, 654, 269, 631, 269, 16019, 1299, 25860, 547, 6445, 519, 5755, 536, 6064, 619, 267, 4672, 2777, 543, 2973, 519, 524, 5407, 8486, 269, 634, 960, 2705, 267, 1131, 1869, 581, 2944, 676, 519, 1482, 2367, 267, 5097, 5259, 543, 7969, 11082, 269, 630, 296, 321, 573, 1421, 476, 273, 268, 272, 268, 1240, 533, 269, 476, 279, 264, 6969, 519, 4579, 4600, 3459, 15524, 767, 532, 524, 785, 619, 1085, 17274, 995, 676, 1085, 17274, 995, 856, 540, 519, 8486, 267, 513, 12284, 8452, 547, 2973, 909, 519, 13452, 269, 28527, 689, 9628, 538, 1079, 1554, 19393, 267, 606, 3063, 14228, 540, 476, 3199, 547, 476, 3445, 7969, 31356, 8452, 5988, 476, 274, 269, 2755, 519, 27194, 540, 519, 13452, 729, 513, 6305, 7156, 267, 741, 12625, 7142, 519, 18009, 3950, 547, 3247, 782, 960, 543, 13404, 3079, 593, 21338, 909, 536, 6064, 6517, 585, 519, 14228, 269, 630, 296, 321, 573, 1421, 476, 273, 268, 279, 268, 1240, 533, 269, 476, 279, 994, 5445, 8452, 538, 519, 22984, 540, 589, 889, 1248, 781, 11173, 14784, 269, 3143, 1447, 982, 476, 1428, 1212, 9749, 267, 513, 2594, 585, 589, 889, 1248, 267, 941, 693, 960, 593, 7140, 1759, 693, 519, 13452, 538, 513, 26525, 3801, 547, 1832, 909, 609, 519, 6360, 540, 6808, 538, 543, 856, 540, 22208, 543, 570, 659, 5448, 269, 589, 889, 1248, 781, 20739, 9535, 12284, 729, 1256, 1668, 1512, 267, 952, 971, 513, 3364, 729, 2009, 269, 9737, 3541, 841, 906, 543, 519, 2367, 658, 4305, 540, 16116, 909, 2112, 1570, 546, 22981, 2059, 519, 1318, 6361, 17574, 267, 519, 12284, 1185, 986, 22486, 909, 476, 276, 5392, 3108, 540, 960, 538, 519, 3923, 540, 5130, 267, 610, 476, 1704, 3108, 540, 3028, 829, 812, 936, 1175, 476, 4029, 2395, 269, 630, 296, 321, 573, 1421, 476, 273, 268, 272, 268, 1240, 533, 269, 476, 272, 994, 763, 1212, 9749, 693, 519, 5180, 5264, 267, 695, 2180, 663, 539, 1256, 1354, 3013, 781, 7127, 883, 519, 2112, 267, 941, 1373, 2196, 1175, 607, 986, 13949, 269, 901, 8833, 3006, 5186, 5529, 909, 538, 5906, 2081, 269, 5422, 28018, 528, 32572, 6660, 2917, 1336, 5128, 9788, 1055, 1813, 547, 513, 9470, 4765, 3723, 269, 2755, 646, 729, 10992, 856, 606, 2599, 267, 2576, 29709, 646, 729, 693, 960, 543, 5828, 593, 606, 7630, 528, 267, 11423, 1010, 21489, 609, 29400, 9252, 543, 1216, 543, 16094, 8781, 1010, 3723, 269, 630, 296, 321, 573, 1421, 476, 273, 268, 272, 268, 1240, 533, 269, 476, 279, 264, 4033, 3377, 689, 1472, 519, 13452, 729, 513, 2370, 811, 14973, 269, 18776, 1185, 2097, 547, 589, 889, 1248, 781, 9897, 269, 634, 3039, 9206, 799, 25035, 2006, 21546, 814, 1044, 26224, 547, 28068, 6808, 693, 519, 26128, 781, 3689, 9335, 15385, 814, 1044, 5486, 5896, 676, 606, 24814, 4496, 1129, 267, 2390, 799, 568, 9102, 538, 5230, 267, 18369, 8686, 4069, 5022, 267, 519, 2262, 1412, 1805, 641, 256, 262, 1656, 3494, 721, 267, 950, 21546, 30303, 602, 1129, 621, 11974, 519, 1034, 22672, 1652, 3432, 535, 328, 754, 269, 630, 296, 321, 573, 1421, 476, 273, 268, 279, 268, 1240, 533, 269, 476, 279, 994, 2026, 28018, 528, 6660, 2917, 16626, 543, 25035, 2006, 21546, 11074, 3432, 619, 267, 519, 26128, 4797, 547, 4228, 519, 13452, 6703, 269, 7216, 538, 4728, 12142, 6754, 9516, 513, 1895, 540, 1007, 13646, 547, 581, 16559, 827, 519, 13452, 269, 589, 1007, 476, 2190, 676, 476, 2568, 20356, 13452, 5604, 729, 547, 581, 3710, 267, 2059, 609, 513, 1007, 476, 1789, 676, 476, 2568, 20356, 4483, 5604, 269, 634, 1459, 13452, 5604, 729, 547, 581, 2124, 326, 730, 547, 513, 6467, 2006, 781, 695, 871, 543, 519, 1459, 4483, 5604, 1131, 1831, 513, 9376, 518, 585, 2638, 619, 543, 14903, 619, 269, 630, 296, 321, 573, 1421, 476, 274, 268, 272, 268, 1240, 533, 269, 476, 279, 264, 1717, 267, 2016, 519, 1459, 17732, 540, 2326, 543, 4600, 267, 621, 1131, 581, 18822, 952, 519, 5656, 941, 3323, 1354, 519, 2112, 1185, 8694, 563, 299, 622, 4728, 543, 2038, 4989, 4718, 12673, 540, 7962, 625, 15685, 689, 824, 2798, 26311, 883, 7262, 6115, 269, 769, 589, 889, 1248, 4805, 476, 272, 267, 4968, 7962, 625, 3357, 1055, 7178, 321, 2432, 1063, 4989, 476, 277, 543, 476, 1015, 269, 630, 296, 321, 573, 1421, 476, 275, 268, 1321, 268, 1240, 533, 269, 476, 279, 264, 901, 13581, 1447, 2287, 540, 519, 1286, 17732, 5795, 519, 26128, 519, 4316, 547, 6360, 519, 13452, 609, 5755, 269, 2060, 6517, 538, 1688, 519, 26128, 6410, 930, 476, 1626, 267, 1822, 9748, 4502, 540, 3109, 19987, 547, 6006, 335, 3796, 538, 519, 13452, 269, 2755, 519, 5755, 729, 3001, 267, 865, 941, 20987, 2694, 269, 20348, 14884, 540, 2694, 543, 535, 597, 585, 519, 5101, 941, 19632, 543, 2366, 7532, 689, 589, 889, 1248, 267, 782, 896, 519, 4585, 995, 4064, 540, 2229, 8069, 269, 630, 296, 321, 573, 1421, 476, 274, 268, 272, 268, 1240, 533, 269, 476, 279, 264, 4033, 2027, 14884, 941, 1373, 3535, 539, 998, 589, 889, 1248, 269, 2311, 476, 274, 281, 876, 589, 8160, 269, 593, 4989, 476, 2764, 513, 476, 5655, 21307, 2027, 540, 7489, 13386, 21167, 3282, 2451, 589, 889, 1248, 585, 1715, 3840, 269, 769, 4989, 267, 891, 6928, 906, 2799, 689, 1614, 547, 2185, 6517, 829, 1554, 547, 5176, 476, 2568, 513, 3018, 269, 630, 296, 321, 573, 1421, 476, 275, 268, 1321, 268, 1240, 533, 269, 476, 279, 264, 634, 1482, 1554, 607, 519, 476, 5655, 2275, 1513, 540, 3282, 2451, 267, 513, 476, 6321, 21307, 5721, 540, 2229, 29421, 267, 5097, 838, 16078, 585, 8484, 267, 2451, 589, 889, 1248, 585, 30159, 269, 2060, 513, 2229, 28034, 593, 4604, 267, 519, 5721, 1131, 1118, 519, 7552, 538, 4557, 2395, 543, 711, 581, 7745, 909, 2394, 8757, 922, 3803, 10278, 269, 630, 296, 321, 573, 1421, 476, 274, 268, 3066, 268, 1240, 533, 269, 476, 272, 994, 763, 1715, 267, 20865, 2475, 6938, 454, 1607, 15194, 1500, 26708, 543, 18213, 1151, 545, 1746, 13623, 15988, 1663, 748, 267, 543, 789, 941, 3274, 10288, 6806, 269, 2201, 519, 26128, 4805, 972, 941, 476, 3953, 971, 13646, 267, 609, 476, 1626, 540, 891, 1373, 1055, 11060, 543, 16559, 689, 11785, 543, 30159, 547, 9628, 267, 12142, 8402, 267, 5842, 12770, 543, 654, 4883, 6559, 326, 269, 589, 5951, 540, 10986, 22107, 12184, 689, 519, 6806, 13646, 547, 824, 2798, 538, 21952, 4972, 1500, 4600, 607, 2484, 2476, 607, 589, 889, 1248, 4250, 1373, 1412, 321, 22981, 9538, 630, 301, 4899, 7414, 24020, 8832, 7414, 29853, 24929, 267, 26128, 4813, 476, 276, 1556, 272, 267, 5398, 5384, 23959, 267, 5239, 476, 274, 267, 476, 4572, 271, 267, 562, 4877, 4700, 634, 1007, 23332, 3652, 267, 3927, 11318, 519, 1151, 545, 1746, 13623, 267, 8195, 7166, 32398, 13623, 18487, 269, 634, 2475, 6938, 781, 1931, 729, 8763, 269, 630, 288, 889, 1248, 31248, 7304, 788, 3016, 534, 267, 476, 274, 268, 3066, 268, 1240, 533, 269, 476, 279, 264, 2353, 10229, 540, 29413, 5721, 3028, 267, 27166, 610, 970, 8735, 748, 2339, 540, 1022, 6609, 547, 3247, 269, 630, 296, 321, 573, 1421, 476, 275, 268, 1321, 268, 1240, 533, 269, 476, 279, 264, 1306, 519, 10986, 689, 891, 13623, 941, 695, 4428, 1194, 827, 519, 1062, 538, 3406, 540, 5078, 7158, 267, 18471, 5264, 5983, 2006, 5981, 5062, 303, 31649, 3323, 1776, 5951, 540, 2021, 883, 519, 9036, 693, 589, 889, 1248, 269, 22073, 538, 4989, 267, 2021, 1131, 1847, 856, 540, 519, 804, 17064, 543, 23296, 334, 7158, 883, 519, 4074, 1439, 540, 519, 1870, 267, 607, 2599, 530, 760, 619, 269, 634, 960, 568, 711, 5230, 855, 18660, 543, 2182, 593, 7802, 269, 26062, 19317, 21347, 606, 5662, 6976, 547, 1376, 269, 630, 296, 321, 573, 1421, 476, 274, 268, 3066, 268, 1240, 533, 269, 476, 279, 264, 9521, 3162, 570, 659, 5448, 267, 972, 729, 1100, 1989, 22824, 269, 634, 1007, 948 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1700, 11152, 267, 476, 14983, 274, 1700, 9834, 267, 476, 14983, 279, 1700, 5611, 271, 267, 543, 476, 5611, 273, 1700, 6860, 264, 8118, 519, 1259, 585, 3864, 3408, 267, 14226, 267, 543, 17091, 540, 519, 17113, 563, 13731, 9372, 19090, 7033, 5202, 7033, 5202, 13517, 281, 18332, 19090, 5156, 519, 1158, 729, 5180, 269, 15526, 1472, 1864, 1767, 519, 1158, 729, 6366, 269, 18332, 729, 5462, 547, 6961, 1010, 3069, 267, 543, 713, 15415, 2982, 875, 646, 1705, 621, 563, 1103, 476, 14983, 273, 267, 513, 5053, 2861, 1098, 520, 23007, 17535, 16939, 3366, 676, 7969, 24413, 18332, 19090, 11402, 519, 17113, 267, 17407, 799, 941, 4625, 7164, 538, 2342, 267, 5607, 543, 4000, 543, 941, 3544, 519, 6196, 2622, 2797, 543, 2804, 1062, 269, 634, 2185, 16831, 1137, 540, 19090, 3459, 519, 5053, 17091, 540, 519, 17113, 269, 1280, 513, 1279, 942, 621, 729, 3622, 5156, 602, 19090, 563, 5825, 320, 3778, 8342, 12700, 4239, 476, 1428, 267, 476, 1001, 278, 269, 4595, 922, 4098, 538, 519, 1977, 20281, 267, 519, 772, 2529, 269, 4108, 814, 7960, 538, 512, 30802, 609, 519, 2136, 2276, 3294, 269, 6258, 811, 772, 2529, 269, 4108, 5013, 269, 634, 4563, 3778, 13600, 849, 1634, 607, 519, 834, 28893, 12677, 3778, 13600, 257, 786, 581, 4767, 2429, 269, 519, 2136, 8003, 32625, 621, 538, 5239, 269, 3371, 616, 930, 4277, 5013, 827, 454, 24887, 1310, 18332, 19090, 267, 547, 6952, 741, 14884, 267, 543, 20506, 23051, 18793, 547, 979, 547, 519, 1773, 18054, 21634, 6559, 4083, 267, 513, 1279, 3516, 563, 13731, 9372, 19090, 7033, 5202, 3778, 7033, 3894, 540, 4658, 1683, 3728, 5013, 543, 1344, 827, 4583, 1004, 538, 1686, 267, 971, 607, 1346, 2143, 538, 519, 18332, 19090, 7033, 5202, 267, 945, 10511, 18469, 513, 1713, 1689, 538, 2622, 1686, 563, 13731, 9372, 19090, 693, 519, 9576, 7040, 540, 8050, 269, 769, 713, 476, 6642, 275, 7206, 676, 519, 16231, 7376, 966, 5451, 743, 822, 7935, 385, 378, 6403, 330, 267, 18332, 19090, 17267, 1354, 10348, 563, 13563, 7169, 2098, 9293, 645, 756, 9288, 5131, 31639, 1299, 27375, 631, 6033, 1107, 17090, 267, 14905, 267, 9628, 267, 12370, 968, 10144, 938, 2085, 723, 2760, 4810, 1977, 13884, 538, 938, 2937, 2729, 2443, 799, 269, 4173, 6963, 1637, 540, 519, 18322, 30513, 779, 1913, 3533, 2968, 513, 8755, 4812, 2228, 269, 8672, 281, 634, 4346, 779, 269, 772, 300, 6195, 779, 834, 3725, 23728, 540, 519, 16685, 257, 2982, 1946, 602, 779, 513, 2887, 2329, 269, 3203, 568, 711, 519, 1101, 2262, 454, 3891, 26948, 10195, 1310, 5053, 16313, 338, 610, 4168, 13411, 2395, 267, 547, 3094, 3870, 543, 1489, 269, 1261, 849, 26948, 5128, 267, 18332, 267, 2495, 968, 13731, 15515, 13145, 1848, 2991, 1010, 1101, 22116, 267, 19090, 15091, 563, 7476, 606, 2626, 585, 2048, 1692, 1705, 18332, 19090, 685, 6602, 1689, 1686, 286, 685, 543, 1265, 6780, 948, 585, 824, 3864, 16709, 540, 3013, 2055, 693, 552, 24687, 454, 13563, 3778, 21142, 5696, 1074, 2917, 7442, 9990, 12226, 5808, 12984, 634, 3689, 5518, 2986, 634, 28583, 2329, 31793, 2006, 729, 1793, 730, 547, 5372, 10553, 8227, 12448, 12722, 1107, 5518, 269, 2111, 547, 9983, 519, 20752, 30280, 1701, 1358, 986, 3660, 269, 661, 2006, 322, 11692, 1160, 17474, 267, 1101, 2542, 634, 1101, 2542, 540, 519, 661, 2006, 322, 11692, 1160, 17474, 267, 23678, 1324, 676, 589, 13034, 269, 681, 527, 2151, 267, 476, 5908, 277, 269, 1530, 730, 689, 2451, 547, 1318, 281, 14199, 540, 2782, 3798, 7773, 631, 269, 853, 656, 517, 267, 3465, 563, 1103, 476, 16825, 275, 18332, 19090, 6836, 5667, 15471, 2685, 547, 1719, 3751, 3627, 4083, 540, 269, 1193, 517, 724, 1245, 538, 8050, 8815, 547, 8804, 971, 513, 22116, 543, 3957, 19090, 607, 563, 13731, 9372, 19090, 685, 10639, 814, 711, 15068, 519, 22987, 540, 1686, 267, 543, 2221, 649, 917, 602, 646, 729, 1100, 811, 519, 1167, 913, 17243, 540, 3013, 982, 623, 665, 1695, 2632, 553, 729, 519, 1167, 913, 17243, 540, 4279, 6628, 563, 28716, 519, 31790, 540, 18332, 19090, 538, 30209, 8050, 1107, 19090, 6241, 538, 30209, 8050, 563, 1103, 476, 14983, 273, 267, 18332, 19090, 1305, 856, 547, 1118, 519, 791, 1601, 4601, 1279, 3460, 676, 4262, 7178, 689, 8050, 547, 3127, 269, 634, 7969, 24413, 267, 540, 1576, 267, 2760, 1705, 11886, 1010, 9153, 547, 8050, 779, 4622, 543, 15596, 563, 13731, 9372, 19090, 5189, 621, 538, 476, 5611, 273, 269, 898, 779, 711, 2312, 950, 1253, 20746, 3459, 269, 898, 729, 6157, 1459, 676, 519, 4571, 268, 1704, 628, 563, 3891, 5747, 593, 2904, 476, 736, 267, 476, 5611, 277, 267, 543, 621, 568, 7164, 17046, 569, 1141, 646, 568, 12617, 267, 4352, 621, 814, 1044, 1767, 547, 581, 693, 1530, 6807, 24130, 538, 8050, 269, 18332, 19090, 14612, 689, 8050, 896, 519, 9206, 563, 9802, 476, 1724, 267, 476, 1001, 275, 269, 18332, 19090, 814, 1279, 1044, 688, 6150, 607, 519, 968, 29171, 913, 17243, 892, 540, 519, 1715, 269, 769, 4864, 476, 14983, 273, 267, 19090, 8977, 539, 689, 8050, 609, 1614, 9635, 2676, 19878, 476, 4029, 267, 476, 1001, 277, 269, 13244, 12756, 267, 623, 842, 320, 543, 715, 2088, 267, 9863, 835, 540, 519, 1034, 1713, 538, 1686, 269, 2991, 476, 3607, 2395, 267, 519, 2468, 334, 540, 9635, 8289, 539, 606, 6532, 267, 1018, 568, 519, 1459, 563, 18154, 13585, 264, 1107, 634, 2136, 2276, 8120, 513, 4686, 5299, 540, 513, 4484, 676, 18332, 19090, 10503, 1010, 8906, 538, 519, 1715, 2622, 267, 1310, 621, 1185, 1044, 21687, 689, 513, 9754, 538, 8050, 269, 634, 7634, 883, 563, 13731, 9372, 19090, 267, 540, 1576, 267, 729, 519, 7969, 24413, 945, 1305, 1055, 269, 646, 10981, 321, 1221, 1585, 3864, 15438, 547, 2508, 1010, 22116, 585, 2947, 1296, 267, 1354, 519, 5053, 22477, 4956, 547, 1491, 513, 4960, 593, 1864, 563, 18693, 2762, 281, 18332, 19090, 568, 519, 24413, 945, 568, 20295, 585, 12423, 3013, 269, 2986, 1576, 267, 972, 941, 2907, 1004, 2713, 538, 3013, 693, 519, 942, 945, 649, 1289, 7111, 4892, 269, 2467, 1256, 729, 513, 3864, 267, 2274, 604, 18238, 26856, 267, 945, 1185, 1044, 547, 519, 17113, 1354, 563, 763, 1977, 7169, 2813, 519, 19090, 1034, 540, 721, 936, 519, 2085, 540, 476, 1789, 4121, 538, 3446, 1153, 269, 13405, 547, 519, 3735, 476, 1240, 628, 2540, 267, 646, 729, 513, 3140, 3723, 16694, 609, 1100, 4276, 547, 519, 476, 1724, 10125, 563, 15578, 29640, 3201, 8104, 16604, 5508, 15562, 7709, 310, 3918, 290, 298, 3633, 21398, 10498, 306, 18332, 19090, 267, 3571, 12312, 267, 543, 519, 2372, 652, 547, 12706, 519, 2622, 269, 3459, 513, 13664, 563, 5475, 1296, 540, 10478, 267, 519, 2136, 2276, 814, 8120, 547, 8050, 513, 4686, 5299, 540, 513, 476, 14983, 274, 4484, 689, 18332, 19090, 267, 799, 1185, 1044, 21687, 689, 513, 3084, 21287, 538, 30209, 269, 634, 4484, 2676, 13731, 9372, 19090, 729, 606, 7969, 24413, 267, 2637, 334, 3150, 911, 1457, 267, 513, 3935, 626, 945, 6192, 2185, 16831, 1137, 547, 519, 9533, 7909, 896, 519, 15569, 540, 7826, 3933, 1105, 540, 8050, 269, 18332, 19090, 729, 513, 11786, 4137, 563, 9802, 476, 2190, 267, 476, 1001, 273, 269, 18332, 19090, 536, 1749, 24214, 6202, 547, 1010, 5067, 17630, 693, 6022, 657, 267, 8050, 269, 570, 839, 540, 5215, 540, 631, 1551, 534, 657, 941, 12475, 3293, 676, 519, 5053, 769, 638, 9974, 563, 13731, 9372, 19090, 6170, 1082, 1296, 538, 8050, 8165, 547, 1205, 13170, 585, 1010, 22116, 563, 288, 476, 4335, 4458, 6040, 5299, 540, 513, 4484, 689, 18332, 19090, 10503, 1010, 7518, 1080, 538, 519, 17113, 814, 1044, 8120, 547, 8050, 689, 26609, 269, 654, 291, 5085, 6363, 300, 524, 2572, 513, 5305, 689, 26790, 543, 31654, 1682, 563, 13731, 9372, 19090, 590, 4721, 910, 301, 328, 29823, 267, 623, 842, 320, 267, 543, 13244, 12756, 269, 18332, 19090, 1185, 1614, 9635, 593, 1010, 1101, 22116, 267, 519, 15281, 29823, 267, 519, 623, 842, 320, 267, 543, 519, 13244, 12756, 563, 303, 11823, 14295, 3019, 2974, 320, 3778, 21222, 2632, 718, 3955, 23950, 560, 542, 2974, 320, 3778, 8342, 12700, 4239, 476, 1428, 267, 476, 1001, 278, 269, 4595, 922, 4098, 538, 519, 1977, 20281, 267, 519, 772, 2529, 269, 4108, 814, 7960, 538, 512, 30802, 609, 519, 2136, 2276, 3294, 269, 6258, 811, 772, 2529, 269, 4108, 5013, 269, 634, 4563, 3778, 13600, 849, 1634, 607, 519, 834, 28893, 12677, 3778, 13600, 257, 786, 581, 4767, 2429, 269, 519, 2136, 8003, 32625, 621, 538, 5239, 269, 3371, 616, 454, 13731, 9372, 19090, 630, 13970, 272, 268, 5611, 277, 264, 729, 606, 7969, 24413, 945, 7691, 602, 519, 1158, 269, 19090, 30774, 585, 3751, 30544, 4083, 543, 10348, 1772, 629, 7578, 540, 8050, 563, 21801, 476, 279, 267, 476, 1001, 279, 269, 634, 2475, 814, 8120, 513, 476, 4335, 4458, 6040, 21687, 18332, 19090, 4484, 547, 8050, 1310, 513, 5722, 4458, 6968, 269, 18838, 538, 476, 14983, 274, 267, 519, 4484, 6257, 563, 763, 6601, 1188, 523, 16466, 623, 822, 559, 542, 23392, 267, 609, 513, 13486, 3710, 29691, 519, 5053, 623, 822, 559, 542, 267, 8118, 538, 4873, 476, 3192, 277, 269, 595, 969, 656, 525, 849, 4547, 547, 563, 9802, 476, 866, 267, 476, 1220, 277, 269, 12875, 1235, 3802, 676, 519, 1625, 19959, 19772, 540, 5053, 24413, 18332, 19090, 538, 519, 24130, 540, 1530, 6807, 267, 8050, 269, 5053, 3173, 945, 563, 2662, 7241, 8050, 779, 24500, 267, 519, 21037, 540, 519, 17113, 10032, 5065, 4529, 543, 721, 22363, 538, 5553, 540, 3979, 17760, 29713, 269, 6271, 729, 519, 2123, 4760, 540, 18332, 19090, 689, 1010, 563, 13731, 9372, 19090, 729, 4535, 538, 476, 4198, 272, 538, 17638, 267, 5245, 269, 3571, 1753, 729, 593, 519, 4262, 543, 18332, 1279, 539, 547, 1831, 606, 24413, 543, 13743, 528, 269, 1717, 267, 607, 513, 1762, 812, 267, 18332, 4682, 547, 17577, 543, 3893, 3238, 538, 519, 4786, 1818, 1870, 609, 1010, 7015, 267, 4446, 628, 565, 727, 342, 563, 300, 7495, 30204, 590, 5495, 13612, 2464, 5508, 5990, 476, 1960, 271, 24912, 267, 12601, 20315, 5085, 13965, 8863, 305, 3041, 2316, 3198, 6730, 808, 11246, 23360, 9338, 296, 17395, 267, 5084, 300, 3951, 23333, 9331, 289, 4785, 654, 3008, 589, 808, 11246, 269, 634, 13243, 8648, 32434, 28779, 4964, 2376, 13886, 267, 968, 3963, 9701, 7826, 5783, 27254, 10348, 1772, 629, 7578, 9495, 26342, 602, 19090, 729, 6014, 267, 1247, 1318, 569, 10404, 1944, 519, 1249, 602, 519, 7826, 5783, 968, 30524, 333, 1406, 16153, 602, 19090, 729, 513, 4035, 17373, 28199, 20963, 4967, 281, 968, 269, 8624, 517, 2676, 2026, 513, 2489, 4341, 540, 14853, 267, 594, 4043, 547, 2057, 4903, 8681, 2358, 18332, 19090, 269, 1809, 594, 1265, 621, 2182, 547, 11716, 519, 9371, 540, 519, 563, 13731, 9372, 19090, 685, 8298, 267, 476, 14983, 273, 589, 6185, 269, 5442, 5990, 715, 28719, 5508, 744, 7838, 28789, 808, 2464, 4785, 8863, 305, 8780, 269, 24641, 267, 4107, 4168, 267, 4400, 267, 20056, 550, 267, 543, 5295, 995, 11010, 806, 267, 3751, 543, 10348, 540, 8050, 543, 540, 519, 11866, 540, 519, 7256, 267, 938, 590, 30371, 793, 338, 267, 713, 1459, 1032, 476, 14983, 273, 267, 1310, 707, 4400, 1145, 525, 1185, 2165, 3990, 519, 2112, 609, 519, 7720, 832, 12081, 532, 538, 2342, 267, 519, 1482, 2348, 1044, 4547, 547, 606, 1439, 538, 519, 1390, 2749, 540, 21081, 3385, 2676, 13625, 593, 18332, 19090, 14118, 10642, 8050, 543, 2342, 269, 476, 23470, 274, 9293, 280, 9664, 269, 2637, 10394, 267, 538, 519, 476, 1556, 628, 2540, 267, 2637, 334, 3150, 563, 22261, 476, 2918, 267, 476, 1001, 279, 269, 634, 19772, 540, 18332, 19090, 538, 519, 1530, 341, 8759, 24130, 568, 5645, 676, 2185, 15438, 8204, 519, 25267, 540, 8050, 269, 1703, 781, 930, 563, 13731, 9372, 19090, 630, 13970, 272, 1700, 5611, 277, 264, 729, 513, 2637, 334, 3150, 911, 1457, 267, 24413, 267, 543, 4044, 1807, 269, 3891, 729, 4535, 538, 2637, 10394, 267, 7977, 267, 538, 519, 1032, 476, 13970, 272, 1701, 13731, 9372, 19090, 257, 568, 519, 2296, 4528, 540, 19090, 779, 2012, 269, 3571, 1483, 2012, 538, 7969, 729, 595, 2077, 334, 1721, 334, 2051, 558, 2692, 282, 1010, 2012, 538, 5053, 729, 595, 2077, 6759, 4472, 2051, 11252, 269, 769, 476, 14983, 273, 267, 19090, 15354, 593, 606, 6532, 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, 17138, 281, 1215, 547, 595, 2255, 13244, 692, 1012, 4985, 692, 763, 2856, 540, 20414, 13244, 814, 1044, 513, 2442, 2245, 1851, 1453, 543, 4079, 7567, 1282, 519, 9702, 4005, 269, 2755, 621, 1522, 3100, 899, 606, 7543, 4305, 1813, 547, 1010, 9589, 5759, 267, 972, 616, 1896, 1187, 543, 3860, 2081, 596, 666, 3801, 547, 6952, 1864, 256, 901, 5850, 786, 1683, 596, 609, 513, 2143, 3391, 593, 4259, 909, 513, 3811, 834, 290, 2255, 13244, 257, 5106, 1210, 1585, 2553, 543, 2645, 269, 5901, 538, 2247, 602, 713, 568, 782, 538, 1434, 6891, 543, 5921, 547, 3142, 7772, 543, 10761, 3056, 909, 547, 8285, 6640, 780, 2162, 10049, 10261, 539, 692, 272, 269, 31396, 610, 16335, 609, 3781, 5075, 7207, 630, 28436, 994, 273, 269, 18289, 7020, 3926, 4433, 1070, 971, 607, 13009, 12514, 267, 4816, 21697, 267, 610, 3354, 1949, 454, 274, 269, 25676, 342, 790, 610, 5569, 454, 275, 269, 6164, 338, 585, 536, 7159, 267, 971, 607, 12897, 543, 5144, 454, 276, 269, 5463, 1195, 5022, 689, 1453, 9619, 547, 13244, 1849, 9476, 454, 277, 269, 3203, 7727, 585, 2870, 4191, 543, 23598, 454, 278, 269, 589, 15720, 5544, 610, 13178, 4087, 454, 279, 269, 4793, 1466, 543, 15131, 2439, 1012, 5153, 476, 272, 281, 7994, 2659, 24028, 11462, 19715, 692, 15675, 532, 519, 1318, 1858, 585, 707, 13178, 14764, 568, 2629, 585, 2810, 707, 8458, 540, 20414, 13244, 269, 27814, 267, 3442, 513, 4055, 1141, 646, 1131, 2693, 4283, 547, 5838, 6799, 1107, 3335, 267, 713, 1131, 581, 519, 2713, 4055, 2282, 519, 8285, 3529, 269, 5269, 2386, 972, 781, 2614, 2230, 585, 1312, 13244, 543, 1022, 1761, 9465, 602, 949, 17225, 1010, 3350, 780, 7659, 9669, 1299, 13832, 912, 268, 9255, 707, 13178, 3937, 693, 3750, 1377, 865, 596, 1810, 1405, 4413, 856, 593, 13830, 11132, 2934, 610, 3877, 563, 268, 6333, 17568, 2789, 3457, 1472, 519, 4055, 585, 1732, 3795, 563, 268, 3550, 602, 519, 6074, 4087, 1281, 711, 723, 1932, 1454, 4282, 6846, 799, 1223, 15936, 609, 8301, 19827, 780, 1012, 5153, 476, 273, 281, 5590, 5455, 2659, 18289, 24544, 20905, 692, 300, 10056, 7020, 3457, 1404, 513, 1713, 1909, 538, 5464, 2534, 1369, 707, 11280, 1858, 269, 1452, 2645, 948, 10332, 596, 950, 2576, 13788, 519, 7406, 267, 1818, 621, 811, 2693, 602, 596, 3513, 7001, 22089, 540, 13244, 269, 2368, 3681, 1331, 13009, 12514, 267, 4816, 21697, 267, 610, 1753, 3354, 1949, 269, 7427, 519, 10672, 781, 5528, 5402, 547, 2327, 1697, 10380, 543, 23363, 780, 7659, 9669, 1299, 13832, 912, 268, 4530, 707, 5163, 7020, 5468, 25656, 547, 2057, 7301, 32302, 610, 7508, 1271, 8090, 563, 268, 1403, 2009, 267, 5512, 3781, 5075, 10342, 585, 20501, 23877, 1282, 1970, 1769, 2175, 563, 268, 4762, 2682, 707, 3457, 547, 4688, 9676, 2923, 2047, 5196, 4859, 3457, 610, 6531, 2533, 585, 2653, 1569, 2663, 780, 1012, 5153, 476, 274, 281, 16259, 645, 7159, 543, 1546, 1723, 903, 692, 8867, 3058, 13000, 543, 1232, 1195, 5022, 9619, 547, 13244, 568, 1776, 1259, 547, 2333, 707, 8458, 540, 25884, 1864, 593, 8254, 269, 9255, 891, 3688, 21825, 1369, 519, 2070, 540, 707, 13178, 3937, 855, 1869, 2226, 930, 3845, 1063, 873, 543, 519, 4890, 20637, 610, 6188, 15297, 269, 901, 5849, 602, 13244, 4465, 1405, 581, 15658, 1042, 676, 741, 4527, 1247, 849, 3246, 1303, 6005, 3308, 10291, 585, 707, 13588, 780, 7659, 9669, 1299, 13832, 912, 268, 8838, 585, 2757, 536, 7159, 3681, 899, 12897, 543, 5144, 267, 607, 789, 9029, 547, 13244, 781, 1134, 8153, 7375, 563, 268, 11559, 7589, 689, 1453, 676, 2348, 873, 2328, 10531, 5022, 547, 13244, 543, 1747, 873, 7258, 519, 13000, 563, 268, 2142, 18762, 827, 6028, 829, 27720, 1426, 3688, 856, 585, 6905, 5712, 282, 2015, 1210, 16995, 605, 1186, 3079, 952, 2556, 780, 1012, 5153, 476, 275, 281, 8073, 26861, 8163, 543, 3004, 1186, 692, 4407, 621, 781, 1898, 547, 3314, 602, 20414, 13244, 1058, 2760, 2800, 1864, 9308, 267, 4259, 909, 20027, 9465, 543, 20637, 666, 1039, 606, 3063, 4494, 540, 10761, 547, 707, 5692, 269, 2422, 7552, 342, 2231, 1500, 689, 12673, 610, 20612, 13615, 2066, 7450, 1811, 610, 11444, 3056, 2509, 519, 13344, 269, 1879, 15427, 267, 891, 12904, 666, 2014, 11029, 18063, 899, 9900, 30366, 30518, 610, 24254, 8279, 267, 10332, 532, 596, 547, 13244, 781, 4527, 1510, 4929, 1022, 2800, 780, 7659, 9669, 1299, 13832, 912, 268, 11408, 4225, 3106, 950, 8888, 9465, 543, 20637, 282, 2057, 1210, 8325, 3615, 610, 5230, 2326, 602, 1223, 5732, 3614, 675, 13244, 610, 3441, 3959, 563, 268, 6682, 28190, 720, 707, 20637, 16900, 883, 519, 1604, 676, 6220, 30018, 23598, 610, 24320, 2358, 873, 607, 851, 540, 519, 2949, 8285, 4159, 563, 268, 6333, 21821, 532, 519, 948, 540, 1920, 2818, 610, 2828, 547, 957, 607, 6104, 1182, 267, 4946, 606, 3693, 540, 9983, 543, 5872, 1282, 519, 588, 3042, 2680, 780, 1012, 5153, 476, 276, 281, 18554, 543, 16680, 11314, 692, 5629, 3388, 568, 1305, 909, 267, 3461, 569, 7227, 585, 13244, 781, 12625, 676, 5329, 4585, 936, 707, 13178, 3937, 269, 13773, 21713, 2429, 519, 3781, 267, 9878, 2673, 3007, 547, 1022, 8966, 5322, 610, 4992, 9571, 676, 707, 5163, 8596, 269, 5620, 707, 10916, 3457, 4712, 547, 7001, 1169, 4090, 2899, 13244, 2306, 1010, 5920, 780, 7659, 9669, 1299, 13832, 912, 268, 22982, 6552, 13156, 7207, 6035, 676, 1082, 2413, 3354, 1949, 547, 6895, 2534, 689, 513, 3845, 1510, 27200, 519, 6429, 563, 268, 28389, 707, 13156, 1995, 676, 8220, 707, 3457, 547, 3677, 13819, 610, 1788, 832, 585, 4824, 15287, 563, 268, 11657, 707, 4681, 998, 11147, 267, 7044, 267, 610, 2854, 6589, 547, 2671, 609, 1866, 543, 8190, 8823, 540, 707, 834, 290, 2255, 13244, 257, 7045, 780, 1012, 5153, 476, 277, 281, 21302, 543, 9523, 15845, 692, 5475, 11018, 2963, 540, 13244, 781, 3643, 267, 2689, 519, 22089, 5702, 547, 2697, 1022, 8037, 4205, 610, 20825, 269, 6875, 4063, 540, 2189, 4162, 267, 7802, 267, 610, 5615, 17820, 676, 519, 1641, 267, 607, 891, 3877, 666, 2417, 4396, 1518, 707, 3409, 540, 6707, 20414, 13244, 269, 4495, 9916, 267, 29289, 707, 4681, 883, 513, 1459, 762, 3898, 547, 2671, 609, 2828, 267, 1920, 267, 610, 2228, 2950, 945, 949, 581, 5461, 538, 7487, 519, 2164, 540, 707, 3646, 780, 7659, 9669, 1299, 13832, 912, 268, 13979, 7421, 2963, 1843, 1947, 543, 5706, 519, 20882, 547, 21179, 622, 610, 13861, 1239, 585, 10565, 1198, 563, 268, 21727, 10677, 4031, 543, 7834, 2924, 950, 4687, 2923, 5627, 30753, 2043, 824, 982, 3054, 563, 268, 18918, 538, 7874, 5717, 609, 16002, 923, 610, 1875, 1532, 601, 773, 951, 267, 8716, 7279, 543, 4898, 4478, 519, 10828, 540, 13244, 1849, 9476, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 290, 2255, 13244, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 6637, 476, 279, 281, 4197, 4065, 1234, 13257, 910, 634, 5871, 11759, 3557, 11621, 19541, 692, 5331, 952, 1169, 2875, 2066, 519, 2197, 4121, 519, 1482, 1919, 693, 519, 1482, 942, 267, 1100, 2339, 1141, 789, 5030, 269, 16319, 7168, 3579, 267, 1318, 286, 2334, 781, 4010, 1018, 519, 5871, 11759, 3557, 11621, 11036, 6322, 547, 3035, 256, 2913, 781, 4685, 883, 1620, 1018, 713, 3872, 6963, 1797, 543, 1946, 1004, 1185, 1114, 8369, 827, 621, 780, 5575, 1055, 267, 1577, 781, 5581, 930, 1883, 2474, 1384, 265, 2878, 19733, 6963, 4995, 15448, 1500, 547, 2087, 938, 3506, 267, 3450, 2409, 267, 543, 1565, 2833, 269, 6056, 540, 621, 899, 21130, 707, 5172, 3381, 3014, 1765, 16467, 619, 1689, 1978, 2934, 547, 3986, 5716, 262, 1995, 543, 18399, 780, 265, 2878, 257, 18184, 1841, 257, 4995, 1452, 616, 3838, 3853, 10503, 1018, 1053, 1058, 917, 543, 581, 2111, 547, 798, 693, 1142, 3446, 1377, 538, 1585, 5396, 971, 607, 2979, 267, 2296, 1893, 6575, 267, 2257, 267, 543, 1514, 2090, 269, 5994, 873, 607, 4155, 332, 2355, 13057, 3610, 267, 3237, 267, 543, 1053, 2509, 1967, 780, 3086, 267, 1394, 547, 519, 5871, 11759, 3557, 11621, 630, 290, 16430, 1040, 31603, 676, 7855, 543, 4966, 689, 2066, 519, 4182, 267, 891, 4441, 1305, 5812, 6788, 585, 1018, 1053, 991, 547, 1451, 538, 6128, 543, 2296, 1893, 6575, 689, 9656, 998, 1000, 27097, 3446, 269, 1358, 1810, 1405, 2995, 3610, 2608, 6011, 265, 547, 4001, 855, 1683, 2312, 5583, 593, 1018, 1053, 1058, 1451, 693, 1142, 3942, 540, 741, 2069, 3460, 780, 3383, 267, 1946, 1705, 649, 991, 519, 5871, 11759, 286, 4270, 267, 1354, 713, 11036, 267, 2829, 1185, 741, 2189, 5036, 540, 4081, 4441, 267, 3056, 547, 3604, 538, 1565, 6788, 4470, 593, 799, 1533, 596, 1572, 1753, 269, 2060, 519, 18938, 267, 1498, 267, 782, 1053, 1223, 1569, 519, 1482, 1164, 7779, 1565, 3255, 7488, 540, 4087, 267, 1818, 621, 4443, 585, 3885, 945, 6410, 1472, 1419, 543, 4180, 11007, 538, 2069, 2298, 780, 4913, 267, 711, 3025, 8815, 609, 7598, 519, 5871, 11759, 269, 2368, 11570, 14126, 827, 3790, 2404, 609, 15175, 547, 1007, 6437, 2326, 267, 3318, 1646, 585, 3610, 267, 10526, 267, 543, 2029, 18175, 10232, 2877, 547, 1489, 6388, 269, 11524, 5433, 11552, 6470, 827, 5313, 9525, 538, 2199, 2069, 3664, 2094, 519, 15525, 7245, 9415, 2829, 547, 9772, 891, 4441, 607, 851, 540, 922, 17813, 547, 519, 5440, 8013, 9886, 1982, 269, 901, 3366, 930, 13915, 547, 8044, 602, 519, 5871, 11759, 12219, 1533, 16285, 936, 2069, 6927, 780, 24137, 4464, 547, 2221, 282, 1896, 2829, 267, 1519, 20274, 267, 4956, 547, 5372, 519, 5871, 11759, 609, 741, 1378, 4081, 4441, 1310, 6849, 2604, 689, 7255, 4961, 269, 2755, 519, 7521, 5170, 1851, 14519, 543, 7855, 267, 3314, 602, 9363, 5483, 827, 2242, 8345, 538, 938, 2069, 1062, 666, 948, 721, 1732, 1174, 519, 1158, 1472, 721, 269, 1306, 2104, 3401, 267, 17037, 267, 543, 3375, 24237, 267, 6616, 519, 1202, 543, 16080, 540, 3872, 4507, 899, 519, 5871, 11759, 16877, 721, 547, 3337, 5717, 543, 3565, 9797, 547, 5935, 938, 2950, 543, 3564, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 10498, 6369, 295, 6865, 288, 595, 14510, 267, 21411, 5055, 269, 1107, 11728, 594, 729, 3235, 18878, 547, 1265, 602, 267, 1247, 594, 729, 6028, 585, 11882, 547, 7119, 538, 606, 4550, 4211, 2174, 517, 11759, 28487, 267, 7812, 645, 4459, 2006, 689, 16110, 5069, 7690, 630, 331, 11343, 538, 11882, 264, 729, 4947, 547, 20274, 547, 2285, 17135, 12096, 514, 476, 277, 4128, 1946, 1352, 1058, 711, 1129, 670, 289, 26552, 280, 1107, 519, 4735, 531, 543, 10682, 540, 519, 5871, 11759, 3557, 11621, 538, 20274, 563, 296, 1745, 621, 1271, 547, 2232, 1142, 835, 540, 741, 2798, 912, 272, 269, 634, 674, 14166, 543, 12409, 26959, 540, 15901, 531, 454, 1607, 568, 3226, 1654, 343, 532, 269, 1879, 729, 972, 12601, 2207, 1022, 10206, 540, 1942, 5018, 609, 519, 10661, 540, 519, 5871, 11759, 3557, 11621, 630, 290, 16430, 264, 538, 1022, 1533, 286, 769, 1249, 267, 602, 779, 1044, 835, 540, 17837, 4102, 4145, 1107, 875, 1454, 786, 713, 1942, 269, 634, 2817, 10985, 540, 3557, 22694, 2209, 3085, 1406, 917, 269, 717, 1478, 940, 12139, 3085, 1406, 917, 269, 769, 1249, 267, 1256, 20274, 779, 1378, 9777, 2209, 7948, 1406, 723, 1634, 1018, 621, 1131, 1942, 547, 2936, 519, 18938, 1317, 789, 941, 5293, 883, 1533, 1876, 1354, 789, 941, 1256, 4628, 2854, 543, 5423, 585, 1857, 2070, 269, 962, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11581, 24102, 1315, 12409, 8889, 1299, 21637, 1315, 8549, 18489, 3175, 1315, 5871, 11759, 3557, 11621, 19541, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18411, 274, 269, 8496, 12221, 454, 23220, 696, 519, 3593, 585, 519, 7508, 1913, 547, 513, 8496, 12221, 4845, 1210, 3097, 1492, 3403, 1599, 269, 1411, 666, 1118, 909, 707, 1378, 8496, 12221, 4845, 267, 3097, 8117, 1934, 781, 606, 1383, 1384, 1693, 263, 4067, 264, 1693, 262, 338, 5172, 1641, 538, 1153, 568, 12223, 263, 11357, 915, 264, 1693, 563, 4415, 519, 1657, 2016, 4845, 267, 713, 568, 1018, 513, 3593, 8400, 1522, 1413, 899, 1384, 259, 9226, 274, 14834, 12221, 18258, 454, 8923, 6445, 538, 519, 1025, 3471, 2630, 912, 1693, 263, 4067, 264, 1693, 262, 338, 5172, 1641, 538, 1153, 568, 12223, 263, 11357, 915, 264, 1693, 563, 1432, 568, 2012, 286, 6742, 344, 454, 1432, 568, 1641, 286, 942, 2951, 454, 24938, 344, 781, 5172, 1641, 538, 1153, 568, 942, 2951, 563, 18257, 692, 2745, 2891, 8923, 2347, 519, 5152, 26008, 5602, 10817, 612, 318, 272, 815, 3403, 2891, 297, 17532, 12223, 19515, 10817, 612, 318, 273, 815, 3403, 2891, 297, 17532, 12223, 19515, 10817, 612, 318, 274, 815, 3403, 2891, 297, 17532, 782, 519, 31233, 19515, 10817, 612, 318, 275, 815, 3403, 2891, 17764, 267, 1018, 31233, 19515, 10817, 612, 318, 276, 815, 3403, 2891, 527, 568, 547, 12223, 19515, 10817, 612, 318, 277, 815, 3403, 2891, 1103, 513, 835, 21718, 19515, 10817, 612, 318, 278, 815, 3403, 2891, 13449, 21718, 834, 9239, 24703, 12221, 815, 535, 257, 297, 17532, 2715, 10817, 612, 318, 272, 9574, 795, 17532, 2715, 10817, 612, 318, 273, 9574, 1315, 297, 17532, 782, 519, 2715, 10817, 612, 318, 274, 348, 270, 17764, 267, 1018, 2715, 10817, 612, 318, 275, 348, 621, 568, 547, 2715, 10817, 612, 318, 276, 348, 270, 1103, 513, 835, 2715, 10817, 612, 318, 277, 348, 1930, 2715, 10817, 612, 318, 278, 348, 30882, 329, 17532, 815, 834, 297, 17532, 30518, 267, 795, 17532, 30518, 267, 1315, 297, 17532, 782, 519, 1259, 270, 17764, 267, 1018, 1187, 621, 568, 547, 11878, 270, 1103, 513, 835, 7504, 1930, 11739, 662, 15323, 2745, 9852, 611, 12221, 2020, 604, 14834, 12221, 2652, 795, 17532, 912, 825, 1820, 2891, 2791, 1705, 621, 32405, 12828, 912, 825, 1820, 2891, 28989, 267, 5225, 2119, 1586, 256, 8442, 0, 26611, 23591, 24800, 270, 7090, 692, 258, 6997, 476, 1724, 454, 258, 8212, 476, 11011, 10485, 454, 258, 11354, 476, 1001, 277, 692, 5814, 19523, 692, 3698, 1292, 10031, 825, 5727, 18794, 4971, 11060, 7440, 543, 1780, 873, 547, 1770, 5632, 322, 19572, 1287, 1820, 27969, 454, 825, 9819, 815, 1412, 8339, 21860, 4433, 903, 27769, 341, 314, 272, 281, 7481, 825, 1820, 263, 5632, 322, 263, 20412, 566, 11723, 3698, 18287, 4433, 2187, 825, 5727, 303, 12838, 513, 5569, 10503, 606, 5106, 593, 9424, 609, 4559, 27969, 454, 825, 522, 1186, 815, 11713, 825, 1310, 28926, 815, 8771, 454, 825, 1948, 594, 614, 622, 936, 519, 5569, 689, 1376, 547, 9096, 547, 1265, 856, 799, 12427, 616, 8659, 538, 519, 4082, 269, 15188, 873, 538, 519, 522, 1186, 1592, 563, 825, 1948, 570, 1389, 1416, 711, 547, 1293, 3056, 2942, 4191, 593, 2338, 607, 12427, 607, 1134, 607, 8429, 936, 8918, 2798, 563, 825, 585, 1775, 538, 2039, 263, 271, 267, 6352, 4433, 15892, 1038, 952, 711, 521, 5157, 4940, 529, 323, 13424, 3890, 543, 711, 521, 5157, 316, 2652, 1412, 9538, 912, 2018, 952, 1775, 2525, 271, 543, 521, 5157, 316, 2652, 21029, 12466, 3546, 3136, 454, 2018, 952, 1310, 28926, 543, 521, 5157, 316, 2652, 21029, 12466, 3546, 3136, 454, 2018, 522, 1186, 6910, 4433, 5157, 7481, 2018, 1310, 28926, 815, 6936, 454, 1038, 3116, 912, 2018, 1310, 28926, 815, 8771, 692, 825, 15358, 815, 521, 21858, 3488, 266, 1923, 1422, 265, 1923, 1315, 1923, 910, 10807, 1948, 590, 5902, 519, 5569, 693, 519, 1585, 12427, 1412, 266, 3299, 23367, 3299, 543, 24003, 23823, 14030, 672, 1948, 6496, 333, 1405, 8237, 593, 519, 14263, 1129, 25023, 2094, 621, 1223, 581, 851, 540, 513, 2942, 1297, 454, 825, 15358, 815, 1496, 15615, 16325, 264, 585, 1003, 538, 15358, 2639, 825, 1267, 815, 476, 271, 454, 825, 585, 5106, 538, 522, 1186, 912, 1038, 952, 5106, 2525, 262, 266, 12466, 2018, 1267, 6834, 3097, 1038, 8640, 5106, 2525, 262, 268, 12466, 2018, 1780, 454, 1038, 8640, 5106, 2525, 262, 265, 12466, 2018, 1780, 454, 1038, 8640, 5106, 2525, 262, 270, 12466, 2018, 1780, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 9899, 1292, 4590, 0, 3698, 7508, 5332, 13246, 16325, 8217, 2187, 825, 23288, 825, 589, 1599, 602, 3217, 538, 513, 9936, 1003, 8217, 543, 11974, 585, 519, 7508, 2338, 538, 519, 1592, 454, 825, 2687, 547, 13283, 563, 8931, 825, 16849, 912, 16875, 513, 15044, 1592, 540, 519, 7508, 2418, 540, 1003, 8217, 454, 825, 15981, 19638, 7531, 825, 3312, 8217, 815, 1496, 343, 585, 1535, 538, 2039, 263, 2381, 16325, 8217, 1070, 3193, 16325, 8217, 4297, 2639, 825, 2132, 15044, 17338, 263, 3553, 263, 13092, 8217, 9984, 3553, 16325, 8217, 4297, 2020, 0, 3698, 22712, 5416, 281, 703, 267, 536, 281, 703, 267, 524, 281, 703, 264, 9847, 24042, 912, 476, 23288, 476, 589, 30775, 542, 602, 3217, 538, 519, 2474, 538, 513, 13392, 3830, 543, 7024, 621, 781, 5072, 563, 476, 20368, 2678, 281, 28612, 454, 2018, 513, 281, 703, 267, 11664, 540, 1535, 317, 273, 454, 2018, 536, 281, 703, 267, 11664, 540, 1535, 454, 2018, 524, 281, 703, 267, 3586, 2165, 454, 22322, 476, 7711, 10461, 281, 9040, 520, 1495, 324, 25391, 5942, 454, 476, 23095, 593, 281, 476, 1321, 268, 4962, 268, 1708, 271, 454, 476, 23288, 476, 1003, 272, 267, 1003, 273, 267, 3954, 815, 910, 272, 265, 321, 1341, 630, 321, 1262, 273, 268, 275, 265, 320, 265, 322, 264, 1262, 271, 269, 276, 267, 910, 272, 265, 321, 910, 630, 321, 1262, 273, 268, 275, 265, 320, 265, 322, 264, 1262, 271, 269, 276, 267, 476, 273, 265, 320, 454, 476, 2132, 1003, 272, 270, 6577, 267, 1003, 273, 270, 6577, 454, 567, 0, 3698, 15254, 5334, 677, 28949, 11907, 264, 9847, 1592, 912, 825, 23288, 825, 589, 1599, 3957, 15254, 5334, 677, 602, 3217, 538, 606, 17062, 1297, 540, 8913, 1255, 543, 12204, 621, 538, 26799, 1931, 22562, 825, 20368, 2678, 281, 2608, 11907, 281, 24042, 540, 24042, 22562, 825, 16849, 281, 1592, 540, 24042, 692, 825, 23095, 593, 281, 476, 2641, 268, 4962, 268, 1708, 271, 454, 825, 7711, 10461, 281, 9040, 520, 1495, 324, 25391, 5942, 454, 825, 23288, 825, 7682, 782, 8443, 6943, 5560, 264, 2525, 14654, 921, 585, 546, 538, 1239, 25818, 1412, 19152, 1590, 476, 581, 513, 24042, 7055, 825, 7682, 782, 8443, 6352, 5560, 264, 2525, 274, 585, 546, 538, 1239, 25818, 1412, 10376, 3693, 1590, 2270, 476, 274, 2418, 25692, 825, 7682, 782, 8443, 6943, 5560, 314, 271, 8079, 2525, 1598, 543, 1826, 5560, 314, 272, 8079, 2525, 6943, 5560, 314, 273, 8079, 2525, 842, 543, 546, 314, 272, 316, 285, 271, 543, 546, 314, 273, 316, 285, 271, 585, 546, 538, 1239, 25818, 1412, 5575, 3693, 538, 1142, 4661, 1590, 581, 513, 5569, 1247, 519, 6967, 1079, 2609, 1590, 581, 513, 2318, 8870, 7055, 825, 2132, 15044, 8443, 323, 585, 546, 538, 1239, 3910, 1883, 284, 25754, 1535, 281, 630, 343, 314, 271, 3910, 1535, 314, 272, 3910, 1535, 314, 273, 8079, 9239, 3698, 5470, 6600, 15635, 267, 2608, 16911, 2187, 825, 2119, 912, 1038, 2132, 30775, 28949, 16911, 994, 825, 4849, 2667, 1068, 542, 13286, 912, 1038, 2132, 476, 272, 692, 19587, 263, 12534, 5334, 677, 267, 18011, 297, 2033, 3299, 476, 1556, 267, 476, 273, 1070, 476, 18011, 289, 877, 3299, 476, 1321, 267, 476, 4097, 1070, 630, 3488, 25402, 3299, 476, 1321, 267, 476, 2420, 30727, 2525, 314, 3488, 289, 877, 3299, 476, 1321, 267, 476, 4097, 1070, 18011, 297, 2033, 3299, 476, 1556, 267, 476, 273, 1070, 18011, 25402, 3299, 476, 1321, 267, 476, 2420, 13580, 1948, 476, 273, 2798, 454, 19587, 263, 12534, 5334, 677, 267, 630, 272, 267, 476, 272, 267, 476, 272, 4297, 2525, 272, 1948, 476, 273, 2798, 454, 19587, 263, 12534, 5334, 677, 267, 18011, 1228, 3299, 476, 1556, 267, 476, 273, 1070, 18011, 1228, 3299, 476, 1015, 267, 476, 1321, 1070, 18011, 1228, 3299, 476, 1556, 267, 476, 274, 4297, 2525, 314, 3488, 1228, 3299, 476, 1015, 267, 476, 1321, 1070, 18011, 1228, 3299, 476, 1556, 267, 476, 273, 1070, 18011, 1228, 3299, 476, 1556, 267, 476, 274, 13580, 1948, 476, 273, 2798, 454, 19587, 263, 12534, 5334, 677, 267, 18011, 1228, 3299, 476, 273, 1070, 18011, 1228, 3299, 476, 274, 267, 476, 276, 4297, 2652, 476, 272, 476, 1948, 476, 273, 2798, 454, 19587, 263, 12534, 5334, 677, 267, 18011, 1228, 3299, 476, 1321, 267, 476, 1556, 1070, 18011, 11990, 3299, 910, 272, 267, 476, 273, 4297, 2525, 272, 1948, 476, 273, 2798, 454, 19587, 263, 12534, 5334, 677, 267, 18011, 1245, 3299, 476, 1015, 267, 476, 1321, 1070, 18011, 24874, 3299, 476, 1015, 267, 476, 1321, 1070, 18011, 4067, 3299, 476, 1704, 267, 476, 736, 4297, 2525, 314, 3488, 24874, 3299, 476, 1015, 267, 476, 1321, 1070, 18011, 4067, 3299, 476, 1704, 267, 476, 736, 1070, 18011, 1245, 3299, 476, 1015, 267, 476, 1321, 13580, 1948, 476, 273, 2798, 454, 19587, 263, 12534, 5334, 677, 267, 476, 272, 264, 2652, 476, 272, 1948, 476, 273, 2798, 692, 0, 5035, 12287, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 2187, 1038, 7682, 1826, 28442, 264, 2525, 1598, 543, 1826, 263, 720, 264, 2525, 842, 543, 2085, 285, 271, 267, 1412, 1103, 20777, 7055, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 720, 815, 2085, 22562, 825, 1219, 1205, 29638, 4311, 2187, 1038, 2132, 1412, 14549, 7055, 8931, 825, 1219, 2085, 5332, 4311, 267, 562, 2187, 1038, 2132, 1582, 269, 720, 1341, 562, 692, 5035, 22503, 27456, 3205, 2187, 825, 1219, 1205, 29638, 4311, 2187, 1038, 2132, 1412, 332, 1446, 28847, 5035, 21058, 27456, 3205, 2187, 825, 1219, 1205, 29638, 4311, 2187, 1038, 2132, 1412, 325, 24580, 28847, 3698, 5470, 6600, 15635, 267, 2608, 1998, 2187, 825, 2119, 281, 2132, 30775, 28949, 1998, 994, 825, 4849, 2667, 1068, 542, 13286, 281, 2132, 476, 272, 692, 31094, 3488, 289, 629, 520, 1495, 324, 3299, 476, 273, 1040, 1326, 29638, 3890, 2525, 262, 14549, 262, 1948, 476, 273, 2798, 454, 300, 1446, 3488, 289, 629, 520, 1495, 324, 3299, 476, 736, 1040, 720, 5332, 263, 1789, 264, 2525, 1789, 1948, 476, 273, 2798, 454, 293, 24580, 3488, 306, 599, 334, 3299, 476, 1789, 1040, 720, 5332, 263, 1789, 264, 2525, 2568, 1948, 476, 273, 2798, 454, 300, 1446, 3488, 288, 1372, 3299, 476, 2412, 1040, 1326, 29638, 3890, 2525, 262, 332, 1446, 262, 1948, 476, 273, 2798, 454, 19587, 29687, 1446, 267, 1412, 289, 320, 3299, 910, 273, 264, 2525, 272, 1948, 476, 274, 2798, 454, 19587, 263, 293, 24580, 267, 6936, 267, 476, 1015, 264, 2525, 272, 1948, 476, 274, 2798, 0, 3698, 1250, 303, 871, 1645, 16325, 8170, 14707, 1080, 281, 703, 267, 1003, 281, 703, 264, 9847, 1193, 912, 476, 23288, 476, 589, 1599, 3957, 1250, 303, 871, 1645, 799, 1318, 10593, 513, 1297, 269, 898, 8591, 21325, 547, 519, 4395, 540, 519, 1297, 269, 634, 1297, 540, 21325, 547, 1039, 568, 519, 1871, 540, 1101, 4661, 910, 2034, 4661, 692, 476, 30352, 281, 28612, 734, 454, 2018, 1003, 8170, 14707, 1080, 281, 703, 267, 519, 2838, 2450, 540, 519, 1297, 454, 2018, 1003, 281, 703, 267, 519, 1297, 547, 1689, 621, 781, 2450, 692, 476, 16849, 281, 28612, 9339, 454, 16875, 589, 5569, 5627, 2338, 269, 8528, 476, 7711, 10461, 281, 9040, 520, 1495, 324, 25391, 5942, 454, 476, 23095, 593, 281, 476, 6734, 268, 4962, 268, 1708, 271, 454, 476, 23288, 22322, 476, 2132, 1412, 271, 262, 2608, 630, 11133, 8170, 14707, 1080, 910, 7003, 19304, 16325, 4297, 11924, 1193, 16325, 264, 952, 7003, 19304, 16325, 4297, 2999, 1003, 8170, 14707, 1080, 3116, 1193, 16325, 2020, 2745, 30044, 303, 871, 1645, 263, 276, 267, 476, 2420, 4297, 1948, 476, 1822, 2420, 454, 2745, 30044, 303, 871, 1645, 263, 272, 267, 476, 2420, 4297, 1948, 476, 2420, 454, 2745, 30044, 303, 871, 1645, 263, 273, 267, 476, 2420, 4297, 1948, 476, 2420, 454, 2745, 30044, 303, 871, 1645, 263, 278, 267, 476, 2420, 4297, 1948, 476, 1822, 16573, 273, 454, 2745, 30044, 303, 871, 1645, 14857 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 10427, 1239, 2079, 2553, 543, 12747, 3375, 6194, 6620, 780, 276, 269, 20480, 585, 6355, 6657, 692, 8139, 519, 6384, 540, 10182, 5250, 267, 15699, 267, 543, 1689, 6585, 1713, 29298, 585, 1870, 2259, 269, 674, 8787, 5665, 1369, 26771, 24041, 1949, 1590, 5431, 519, 2565, 1909, 5129, 676, 10229, 543, 6725, 538, 5935, 7082, 2623, 269, 1635, 3384, 13857, 2994, 16135, 538, 12170, 4681, 543, 7811, 3741, 267, 3906, 1796, 547, 28231, 8101, 12587, 538, 2474, 540, 2344, 2671, 267, 6075, 12802, 267, 543, 20656, 269, 5015, 267, 14237, 5683, 3347, 609, 6800, 19329, 11413, 3823, 10388, 8247, 543, 2463, 585, 14628, 3903, 267, 4180, 602, 8942, 547, 3337, 8456, 5447, 609, 6626, 6848, 2418, 543, 6788, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4002, 519, 5216, 328, 996, 16683, 540, 519, 476, 4572, 280, 14351, 10369, 9197, 1662, 602, 3366, 547, 519, 4279, 12870, 267, 519, 2136, 2276, 568, 2899, 1586, 9575, 538, 513, 4279, 11038, 19822, 543, 2620, 15125, 1248, 540, 606, 1931, 540, 9588, 13380, 547, 519, 476, 4350, 271, 338, 269, 2311, 519, 4099, 540, 713, 6433, 568, 32168, 532, 7082, 7836, 267, 3361, 676, 519, 9552, 540, 7622, 8804, 607, 513, 1267, 540, 5756, 540, 13230, 24715, 566, 543, 519, 533, 4979, 909, 540, 7963, 269, 272, 19901, 7836, 538, 2221, 779, 4346, 267, 13856, 676, 9649, 10909, 267, 568, 3648, 8200, 593, 519, 6455, 4674, 267, 1775, 4318, 1421, 6725, 607, 513, 2898, 267, 609, 10229, 607, 922, 1034, 17736, 545, 6681, 1106, 269, 1809, 519, 6455, 4674, 568, 849, 552, 25290, 538, 519, 6433, 267, 7700, 547, 519, 2489, 7771, 269, 1924, 7533, 568, 519, 6455, 4674, 547, 519, 12512, 540, 26771, 3854, 602, 835, 3112, 581, 6956, 1510, 519, 824, 563, 5978, 3804, 538, 1018, 5205, 568, 547, 1683, 513, 3376, 2606, 17250, 540, 519, 6455, 4674, 896, 26771, 3854, 630, 663, 811, 4481, 519, 26771, 1922, 12099, 3854, 540, 2221, 264, 1759, 593, 1018, 649, 3494, 547, 581, 512, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 19901, 10263, 1315, 5900, 6421, 543, 6431, 340, 5235, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2348, 513, 2942, 8007, 630, 2330, 337, 284, 910, 274, 2330, 1070, 3976, 922, 5912, 5506, 568, 476, 271, 676, 4214, 281, 3230, 335, 4433, 262, 284, 14683, 267, 678, 815, 910, 274, 1923, 521, 815, 1164, 267, 513, 815, 3406, 264, 815, 476, 271, 29634, 28274, 519, 1482, 7954, 547, 782, 824, 2474, 267, 649, 1205, 267, 1422, 8218, 9387, 348, 533, 4433, 262, 284, 1164, 1923, 521, 815, 1164, 267, 513, 815, 3406, 264, 17851, 1422, 8999, 3709, 337, 1422, 514, 1422, 346, 271, 267, 910, 274, 267, 678, 3709, 14142, 9574, 678, 3709, 342, 7159, 4153, 3686, 533, 4433, 262, 284, 14683, 267, 678, 1923, 521, 815, 1164, 267, 513, 815, 3406, 264, 8607, 17851, 533, 4433, 262, 284, 14683, 267, 678, 815, 678, 3709, 14142, 348, 347, 521, 815, 1164, 267, 513, 815, 3406, 264, 8607, 17851, 1422, 10401, 1422, 754, 9387, 10926, 2005, 5654, 20868, 269, 594, 711, 476, 1911, 260, 2386, 602, 602, 781, 519, 3070, 267, 1317, 519, 2243, 1131, 711, 1118, 1454, 540, 2631, 630, 1492, 3349, 1131, 4312, 1044, 3833, 519, 1482, 6393, 1607, 1797, 602, 519, 8007, 1305, 568, 2965, 681, 28121, 271, 267, 272, 267, 6629, 274, 348, 630, 933, 8263, 602, 538, 1142, 4626, 652, 788, 267, 519, 8773, 666, 1152, 2445, 835, 666, 6393, 287, 29029, 20811, 2755, 594, 3858, 609, 519, 1964, 540, 707, 17431, 267, 594, 9327, 1405, 8263, 602, 519, 8773, 666, 1152, 2445, 476, 271, 610, 476, 272, 666, 269, 1306, 29484, 6215, 831, 2303, 267, 594, 1589, 519, 8773, 1223, 4584, 1022, 1297, 540, 23691, 1063, 476, 271, 543, 715, 780, 19350, 568, 875, 594, 4194, 519, 1966, 585, 519, 811, 2489, 2013, 267, 14322, 1808, 2418, 585, 3230, 338, 3299, 338, 267, 513, 21974, 901, 31633, 13315, 7711, 29029, 20811, 2626, 780, 4131, 23241, 1892, 3230, 306, 4671, 284, 338, 262, 7807, 3667, 1777, 346, 14683, 28021, 1892, 3230, 306, 3709, 339, 268, 272, 13157, 338, 7807, 3667, 1777, 346, 14683, 28021, 1892, 3230, 288, 3709, 339, 268, 272, 13157, 320, 7807, 3667, 1777, 346, 14142, 15732, 2171, 723, 519, 1739, 7862, 2433, 3230, 337, 3709, 14142, 18098, 8999, 3709, 337, 1422, 514, 681, 348, 337, 24206, 21702, 22669, 4433, 3299, 678, 347, 338, 267, 513, 20972, 335, 4433, 262, 347, 338, 267, 513, 264, 6525, 1280, 891, 2418, 540, 3230, 338, 3299, 521, 267, 513, 2330, 649, 849, 723, 1384, 1892, 3230, 335, 4433, 262, 347, 338, 28083, 21174, 10401, 2330, 563, 1892, 3230, 335, 4433, 3299, 910, 274, 347, 338, 28083, 6661, 271, 9681, 16240, 6695, 9508, 24417, 281, 284, 335, 4433, 3299, 337, 347, 338, 28083, 14638, 543, 585, 3230, 305, 7807, 346, 271, 267, 476, 272, 267, 476, 273, 267, 1422, 25854, 267, 301, 315, 6525, 630, 933, 522, 2466, 3230, 337, 15871, 274, 2330, 2094, 519, 2625, 320, 568, 476, 271, 585, 713, 2013, 264, 649, 723, 1287, 1384, 17961, 9387, 15857, 678, 18155, 3667, 1777, 346, 14142, 3686, 261, 7807, 8999, 3709, 337, 284, 271, 11892, 301, 678, 24206, 21702, 3189, 9508, 24417, 7346, 10401, 27874, 678, 18155, 3667, 1777, 346, 14142, 14990, 10383, 315, 10401, 261, 7807, 8999, 3709, 337, 284, 271, 11892, 301, 678, 24206, 315, 9508, 24417, 11138, 678, 18155, 3667, 1777, 346, 14142, 14990, 10383, 315, 10401, 261, 284, 328, 24206, 315, 9508, 10983, 1341, 1422, 8999, 18155, 11357, 23637, 346, 337, 284, 271, 8607, 678, 315, 928, 336, 1775, 3686, 317, 301, 678, 24206, 315, 9508, 24417, 11138, 1775, 24206, 315, 9508, 10983, 261, 284, 678, 18155, 3667, 1777, 346, 14142, 14990, 10383, 315, 10401, 268, 1422, 8999, 18155, 11357, 23637, 346, 337, 284, 271, 8607, 678, 315, 928, 336, 1775, 3686, 317, 301, 678, 24206, 315, 9508, 24417, 1422, 754, 9387, 265, 10926, 2690, 3230, 328, 315, 928, 336, 476, 271, 2330, 23241, 11377, 9508, 10983, 284, 1422, 2765, 346, 272, 2410, 328, 4153, 10383, 13375, 16868, 18155, 3667, 1777, 346, 14142, 14990, 10383, 315, 10401, 268, 1422, 8999, 18155, 11357, 23637, 346, 337, 284, 271, 8607, 678, 315, 928, 336, 1775, 3686, 317, 301, 678, 24206, 315, 9508, 24417, 9368, 264, 9681, 2690, 3230, 328, 284, 271, 18079, 649, 946, 602, 1249, 602, 1422, 8218, 9387, 15857, 1422, 10401, 261, 284, 335, 4433, 262, 347, 338, 28083, 21174, 8999, 3709, 337, 284, 271, 11892, 301, 533, 4433, 3299, 337, 347, 338, 28083, 21174, 8999, 3709, 337, 284, 271, 11892, 301, 315, 9508, 24417, 11138, 1299, 315, 23976, 315, 9508, 318, 271, 7807, 10401, 910, 1422, 8999, 3709, 337, 285, 271, 348, 1422, 9508, 24417, 1422, 754, 9387, 265, 10926, 3383, 2655, 23082, 6695, 9508, 24417, 2330, 676, 922, 5506, 4542, 649, 1439, 909, 2348, 267, 585, 891, 1808, 2418, 540, 3230, 338, 3299, 521, 267, 513, 2330, 23241, 2330, 11377, 8218, 26231, 1162, 348, 533, 4433, 3299, 328, 347, 338, 28083, 6661, 1422, 2765, 346, 272, 2410, 328, 4153, 10383, 13375, 16868, 18155, 3667, 1777, 346, 14142, 14990, 10383, 315, 10401, 268, 1422, 8999, 18155, 11357, 23637, 346, 337, 284, 271, 8607, 678, 315, 928, 336, 1775, 3686, 317, 301, 678, 24206, 533, 4433, 3299, 337, 347, 338, 28083, 9385, 2431, 264, 1299, 1422, 3667, 1777, 3189, 1721, 718, 1775, 1422, 514, 1496, 272, 267, 301, 316, 27874, 533, 4433, 3299, 271, 347, 338, 28083, 21174, 10401, 28363, 8999, 3709, 337, 285, 271, 348, 533, 4433, 3299, 337, 347, 338, 28083, 264, 1299, 1422, 3667, 1777, 346, 604, 1775, 284, 271, 348, 1422, 754, 26231, 1162, 6525, 9681, 7069, 1620, 568, 602, 621, 786, 581, 519, 1482, 607, 533, 4433, 262, 1923, 521, 267, 513, 264, 585, 1022, 521, 267, 513, 267, 521, 3299, 678, 4999, 780, 763, 8007, 678, 4433, 267, 513, 267, 521, 10807, 568, 2907, 3989, 538, 2474, 540, 521, 267, 513, 267, 521, 262, 780, 7712, 533, 4433, 3299, 678, 347, 521, 267, 513, 264, 815, 533, 16868, 347, 338, 3299, 513, 267, 521, 12684, 533, 4433, 262, 347, 513, 267, 521, 1040, 1280, 1142, 2013, 519, 533, 16868, 1923, 521, 3299, 513, 267, 521, 264, 568, 3160, 547, 476, 272, 676, 4214, 269, 4935, 267, 519, 6241, 585, 533, 4433, 3299, 678, 347, 513, 267, 521, 264, 815, 533, 4433, 262, 347, 521, 267, 513, 2020, 2690, 3236, 10484, 2252, 267, 590, 284, 1164, 267, 589, 284, 14142, 543, 590, 262, 284, 11947, 267, 1287, 519, 8007, 568, 2141, 13672, 780, 335, 16868, 284, 10401, 347, 521, 284, 14683, 267, 513, 815, 3406, 2073, 521, 262, 284, 14683, 264, 815, 476, 272, 630, 9767, 2141, 1205, 602, 8007, 585, 713, 2013, 264, 3092, 269, 0, 15507, 692, 258, 3474, 640, 31098, 1656, 3474, 640, 6744, 518, 27989, 692, 28899, 640, 540, 2413, 2792, 568, 7913, 538, 2470, 1775, 4318, 1421, 621, 568, 513, 4999, 540, 476, 272, 779, 543, 476, 271, 779, 269, 634, 3059, 1239, 568, 10299, 2901, 998, 12904, 630, 514, 2013, 540, 29040, 2792, 264, 610, 12616, 269, 4634, 538, 606, 4359, 7154, 540, 2792, 267, 972, 786, 581, 6959, 1247, 23142, 1239, 630, 16746, 547, 6846, 6393, 763, 14724, 540, 6959, 568, 13313, 540, 513, 3787, 1775, 4318, 1421, 513, 476, 272, 949, 581, 10299, 607, 513, 476, 271, 610, 13030, 268, 951, 320, 269, 1677, 6166, 2436, 519, 4607, 1239, 568, 519, 5497, 1239, 610, 711, 267, 649, 1058, 581, 2111, 547, 3713, 6959, 693, 519, 17513, 780, 1103, 713, 5850, 267, 649, 786, 1451, 827, 3474, 640, 9779, 267, 4634, 3474, 640, 267, 744, 9536, 3474, 640, 267, 3474, 640, 31098, 543, 3474, 640, 6744, 518, 609, 513, 4052, 1383, 543, 4052, 5547, 780, 11073, 1467, 692, 1012, 1548, 1772, 3474, 640, 9779, 2496, 288, 26027, 3787, 568, 513, 2596, 1259, 547, 2638, 585, 6959, 538, 3059, 10618, 543, 1239, 4859, 267, 1031, 547, 1118, 2386, 1239, 13978, 4977, 269, 898, 779, 606, 3063, 9352, 7857, 3773, 547, 513, 5569, 540, 9352, 3009, 269, 769, 3059, 1949, 267, 950, 9352, 1239, 568, 10299, 543, 9268, 267, 1239, 949, 581, 16271, 547, 6846, 865, 602, 971, 6846, 666, 7369, 476, 271, 338, 630, 1993, 1239, 11353, 264, 547, 476, 272, 338, 543, 476, 272, 338, 547, 476, 271, 338, 780, 17798, 267, 513, 3474, 640, 9779, 568, 3773, 547, 519, 2262, 5627, 1239, 538, 1931, 547, 1118, 1297, 540, 476, 272, 338, 2901, 1256, 610, 9642, 269, 634, 5048, 5627, 519, 1239, 11353, 2059, 609, 26027, 3787, 568, 10299, 689, 31092, 547, 519, 17513, 269, 1109, 4263, 519, 8391, 1439, 267, 519, 1297, 540, 476, 272, 338, 538, 519, 5048, 568, 18886, 543, 952, 621, 3085, 1406, 6474, 609, 519, 10299, 835, 267, 621, 1797, 972, 568, 606, 5470, 538, 519, 1239, 269, 4935, 267, 519, 3474, 640, 9779, 621, 568, 1031, 547, 3713, 6959, 267, 1282, 519, 6771, 540, 9352, 1239, 780, 1012, 4634, 3474, 640, 1656, 744, 9536, 3474, 640, 692, 763, 2040, 540, 519, 1239, 11353, 543, 26027, 11353, 666, 581, 1256, 610, 9642, 780, 2162, 4634, 3474, 640, 1384, 763, 26027, 3787, 568, 14661, 865, 602, 519, 2698, 1297, 540, 476, 272, 338, 538, 519, 3009, 267, 1519, 519, 26027, 3787, 267, 568, 1256, 269, 1403, 972, 616, 2907, 606, 1256, 1297, 540, 476, 272, 338, 267, 519, 26027, 3787, 568, 476, 271, 269, 1403, 972, 616, 606, 9642, 1297, 540, 476, 272, 338, 267, 519, 26027, 3787, 568, 476, 272, 780, 2162, 744, 9536, 3474, 640, 1384, 763, 26027, 3787, 568, 14661, 547, 1118, 519, 2698, 1297, 540, 476, 272, 338, 9642, 269, 1403, 972, 616, 2907, 606, 9642, 1297, 540, 476, 272, 338, 267, 519, 26027, 3787, 568, 476, 271, 269, 1403, 621, 779, 1256, 267, 519, 26027, 3787, 568, 1305, 547, 476, 272, 269, 6270, 5470, 16326, 543, 15494, 666, 581, 8045, 676, 1210, 1401, 268, 3036, 19235, 630, 26238, 1401, 268, 3036, 10766, 3132, 4642, 3977, 950, 972, 616, 1256, 1297, 540, 11378, 6393, 2414, 3132, 1079, 11353, 2040, 267, 835, 1401, 268, 3036, 10766, 568, 6190, 6466, 585, 4946, 1614, 11353, 267, 1079, 1401, 268, 3036, 19235, 616, 2838, 607, 3254, 538, 2630, 4137, 780, 1012, 3474, 640, 31098, 18065, 692, 288, 26027, 11718, 5547, 568, 513, 2036, 24676, 7954, 5547, 1031, 693, 519, 23142, 1439, 269, 4706, 3119, 1599, 568, 547, 5173, 543, 1039, 519, 26027, 3787, 547, 519, 1239, 6908, 1759, 593, 519, 6074, 26027, 10325, 630, 16838, 610, 9642, 6393, 1892, 634, 5547, 3217, 519, 3312, 1239, 6908, 630, 324, 3052, 1421, 513, 31632, 264, 607, 3403, 563, 1892, 898, 15824, 4238, 593, 519, 1239, 11353, 1759, 593, 519, 6074, 10325, 630, 16838, 610, 9642, 26027, 1916, 1892, 28871, 1031, 7954, 19235, 585, 891, 4238, 1331, 2473, 3036, 630, 1410, 5477, 10758, 1916, 1892, 634, 3977, 540, 519, 5547, 568, 519, 3312, 1239, 6908, 609, 519, 813, 2105, 26027, 3787, 692, 1012, 3474, 640, 6744, 518, 18065, 692, 288, 26027, 2638, 518, 5547, 29084, 693, 519, 8391, 1439, 269, 1109, 21132, 1909, 568, 547, 13182, 519, 26027, 540, 519, 4607, 1239, 6908, 630, 10175, 519, 26027, 3787, 264, 543, 3713, 1022, 1761, 6959, 780, 1892, 634, 5547, 11392, 519, 3003, 1239, 6908, 609, 519, 26027, 3787, 563, 1892, 898, 15824, 519, 1482, 9273, 593, 519, 4607, 1239, 630, 10175, 519, 26027, 3787, 264, 607, 519, 26027, 11718, 1705, 693, 519, 31092, 630, 22372, 593, 519, 1634, 1256, 610, 9642, 26027, 10325, 1916, 1892, 898, 19776, 519, 7229, 26027, 609, 519, 4607, 26027, 3787, 780, 13286, 24544, 1384, 1892, 1403, 519, 7229, 26027, 13292, 519, 4607, 26027, 3787, 267, 621, 6920, 513, 1164, 5506, 602, 519, 1239, 18387, 1406, 1044, 18348, 539, 1282, 6771, 563, 1892, 1403, 519, 7229, 26027, 3085, 1406, 6474, 519, 4607, 26027, 3787, 267, 621, 779, 513, 2178, 16315, 540, 513, 2009, 2582, 19229, 5470, 538, 519, 1239, 6908, 780, 30131, 8074, 281, 2755, 26027, 10992, 568, 2500, 585, 16326, 2582, 19229, 6959, 267, 621, 3112, 22942, 519, 3169, 4087, 540, 519, 5470, 538, 519, 1239, 6908, 269, 898, 3274, 17514, 519, 7872, 540, 606, 5470, 780, 3086, 1577, 721, 17358, 1018, 568, 513, 26027, 11718, 543, 2638, 518, 538, 3059, 11418, 2059, 609, 519, 5168, 7515, 543, 12596, 780, 1012, 1548, 1772, 589, 3474, 640, 31098, 2496, 303, 10846, 31098, 538, 3059, 11418, 568, 513, 2036, 24676, 5547, 602, 24693, 606, 562, 268, 272, 3787, 1239, 543, 12958, 519, 3606, 3787, 602, 568, 547, 581, 10299, 609, 519, 3787, 6908 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 519, 16286, 2230, 563, 5472, 540, 519, 4441, 616, 909, 18988, 676, 6673, 6579, 9707, 269, 15580, 20159, 568, 519, 1292, 1445, 540, 782, 29026, 593, 6673, 6579, 9707, 269, 3962, 16286, 814, 1044, 5402, 6074, 547, 2709, 519, 1655, 2773, 14573, 269, 769, 1840, 267, 649, 666, 3761, 6131, 8320, 585, 3677, 19698, 563, 27879, 6919, 616, 6740, 538, 713, 19458, 1210, 2872, 268, 20598, 1875, 3146, 23983, 814, 3107, 2553, 269, 2659, 22754, 616, 6456, 689, 5520, 540, 6673, 6579, 9707, 543, 1022, 824, 6105, 563, 2690, 10930, 2792, 267, 596, 666, 6467, 1063, 26824, 543, 10226, 307, 4916, 585, 1022, 29026, 593, 713, 2344, 563, 1432, 779, 519, 645, 18847, 7412, 888, 1103, 3932, 267, 621, 779, 8909, 602, 972, 616, 1082, 2228, 10898, 543, 602, 21190, 616, 10770, 269, 1717, 267, 7863, 707, 1239, 3340, 513, 2178, 16286, 3354, 4640, 269, 23889, 16286, 3354, 883, 519, 2489, 1935, 543, 5650, 540, 2679, 543, 3384, 29026, 568, 519, 10700, 1655, 2259, 563, 12234, 267, 11753, 3354, 883, 519, 1374, 1184, 689, 519, 856, 3553, 1247, 9001, 519, 3617, 4066, 543, 513, 811, 20982, 1184, 269, 6969, 789, 1570, 1125, 267, 3354, 6937, 666, 581, 1336, 543, 1293, 1229, 563, 763, 1292, 4145, 540, 6673, 6579, 9707, 267, 513, 5402, 14931, 19458, 585, 29026, 267, 616, 10727, 267, 25382, 267, 2298, 267, 543, 3354, 269, 2060, 1175, 835, 16286, 1883, 543, 12676, 298, 267, 621, 6087, 16286, 9367, 547, 1118, 2724, 689, 741, 29026, 1247, 1818, 621, 12863, 585, 1866, 547, 1711, 519, 1985, 1390, 3364, 563, 3086, 602, 596, 917, 5398, 681, 12239, 16286, 4027, 4507, 267, 4945, 1934, 543, 2638, 856, 519, 1655, 1863, 16286, 19458, 547, 2087, 707, 1995, 607, 513, 1857, 16286, 7082, 269, 0, 290, 5670, 1227, 9648, 3157, 538, 1880, 2356, 723, 513, 1164, 1761, 540, 27532, 1648, 602, 1223, 581, 1031, 3362, 543, 7561, 269, 834, 4913, 267, 891, 3344, 585, 4346, 543, 4398, 1869, 798, 711, 1265, 519, 1747, 789, 1058, 723, 538, 519, 2930, 3070, 543, 6388, 540, 519, 6191, 2437, 3081, 18264, 1335, 5915, 25184, 565, 267, 3498, 11653, 693, 26395, 289, 28290, 269, 634, 1648, 568, 1419, 14616, 909, 538, 29584, 27856, 267, 799, 568, 711, 1152, 513, 3653, 540, 1648, 855, 849, 513, 3595, 9651, 269, 16376, 2987, 543, 27532, 4559, 2709, 513, 4052, 4244, 563, 257, 6524, 1062, 5610, 267, 621, 1590, 581, 13761, 2436, 6190, 27532, 1648, 568, 6383, 585, 24534, 946, 2437, 6941, 5915, 25184, 565, 269, 769, 1840, 547, 24317, 713, 1648, 2476, 267, 3049, 2987, 543, 27532, 4559, 849, 4196, 607, 834, 12890, 619, 2668, 901, 6971, 519, 1297, 540, 3049, 2987, 2798, 543, 29776, 519, 4058, 540, 519, 1852, 22277, 14320, 269, 769, 1931, 547, 9260, 909, 519, 2009, 3096, 267, 519, 3498, 543, 922, 3351, 5314, 1590, 581, 2808, 269, 901, 12651, 519, 2243, 281, 7316, 1281, 519, 27532, 1648, 2965, 2097, 689, 286, 634, 2626, 281, 16382, 13999, 616, 632, 5120, 730, 543, 3976, 1761, 607, 1134, 607, 15452, 1648, 568, 10736, 269, 834, 8170, 1576, 267, 602, 3762, 513, 2603, 540, 4055, 585, 812, 4141, 340, 591, 2437, 5915, 25184, 565, 3081, 269, 1548, 1281, 1412, 338, 27172, 1524, 13999, 262, 610, 1412, 935, 31844, 1761, 543, 15452, 1648, 262, 2965, 1611, 888, 1805, 4392, 543, 23023, 3684, 607, 606, 3498, 1383, 454, 2026, 513, 4341, 267, 513, 4859, 543, 23023, 3684, 5161, 540, 513, 4881, 10591, 267, 17666, 10591, 543, 519, 4452, 7829, 13613, 269, 19554, 543, 23023, 6191, 2356, 723, 513, 1164, 2597, 910, 519, 6099, 3498, 585, 513, 1379, 3761, 543, 27532, 1770, 269, 834, 2691, 971, 513, 2527, 568, 18965, 676, 519, 4881, 10591, 267, 1360, 1164, 1379, 568, 2838, 269, 634, 1482, 10039, 547, 519, 29584, 1184, 2437, 3081, 5915, 25184, 565, 269, 3371, 267, 513, 5397, 17120, 666, 581, 1031, 547, 20347, 519, 13999, 3533, 543, 9108, 30788, 269, 2353, 519, 27532, 1648, 6383, 538, 713, 1184, 666, 581, 26632, 730, 676, 513, 1379, 3049, 543, 6051, 1770, 269, 14208, 626, 3156, 616, 1256, 3152, 2959, 540, 713, 1648, 267, 799, 568, 6383, 1282, 1142, 16715, 1184, 4470, 593, 519, 4452, 5645, 269, 834, 10214, 952, 782, 17887, 616, 13745, 538, 513, 9823, 3060, 547, 5385, 1648, 267, 972, 568, 1869, 513, 9645, 2179, 2451, 936, 2437, 6941, 519, 3498, 11653, 563, 1103, 824, 2127, 540, 3498, 267, 971, 607, 22386, 267, 19135, 6191, 267, 1184, 2029, 267, 2842, 18434, 610, 1449, 1649, 2583, 267, 972, 616, 849, 2009, 3156, 269, 834, 1103, 713, 2796, 267, 649, 616, 1419, 4280, 2436, 2030, 12427, 616, 4847, 547, 3049, 1394, 883, 519, 1857, 7470, 693, 782, 269, 634, 2626, 568, 281, 9811, 267, 1317, 789, 616, 711, 1648, 5108, 2371, 269, 2353, 4570, 4808, 585, 5122, 6191, 543, 1949, 616, 5360, 1221, 609, 2437, 3081, 5915, 25184, 565, 563, 763, 946, 2665, 2709, 1079, 1099, 10999, 1114, 3435, 281, 3742, 610, 12809, 3049, 2987, 543, 5955, 4559, 269, 834, 27879, 633, 1797, 602, 519, 3049, 2987, 543, 27532, 1770, 568, 1292, 338, 22306, 543, 519, 9823, 3095, 568, 6378, 1759, 593, 519, 3049, 2987, 6453, 269, 15765, 267, 593, 519, 824, 1688, 267, 1797, 602, 519, 3049, 2987, 543, 5955, 1770, 568, 8362, 6417, 267, 585, 1383, 547, 10038, 519, 9823, 3095, 6453, 2437, 5915, 25184, 565, 6941, 269, 5637, 1949, 3142, 1114, 5383, 912, 4596, 11586, 4353, 12224, 681, 277, 1379, 3049, 543, 27532, 1062, 630, 17395, 289, 28290, 994, 22296, 3386, 585, 4853, 3156, 609, 27532, 1648, 454, 21798, 2500, 3498, 454, 15253, 716, 543, 17426, 3435, 454, 30874, 5606, 3975, 20593, 614, 2910, 11586, 4353, 12224, 589, 2975, 630, 17395, 289, 28290, 994, 306, 19434, 18042, 14768, 547, 2569, 2800, 9582, 9890, 1234, 5562, 1379, 5786, 585, 1804, 17016, 454, 20175, 3815, 15494, 630, 303, 15598, 264, 609, 5430, 6543, 499, 815, 476, 272, 454, 1805, 8494, 2213, 9823, 6453, 543, 1900, 5346, 20303, 9890, 27326, 3432, 2039, 543, 811, 18165, 538, 519, 2361, 4617, 2287, 2039, 0, 23744, 6340, 267, 1134, 5630, 4016, 547, 4606, 540, 9547, 543, 6278, 609, 1272, 267, 20106, 267, 543, 6043, 563, 4913, 267, 1018, 602, 5654, 899, 666, 8428, 689, 835, 1268, 547, 519, 1985, 269, 1280, 1383, 267, 835, 1268, 949, 2721, 1648, 543, 7772, 689, 454, 26171, 1514, 19771, 267, 6466, 1776, 1268, 1522, 1265, 811, 8788, 538, 1151, 3363, 282, 835, 1268, 1522, 1265, 20106, 454, 514, 513, 4543, 3924, 267, 6466, 1776, 1268, 1522, 1265, 20106, 538, 513, 4123, 3924, 563, 4263, 26673, 3700, 267, 649, 3494, 1134, 5630, 568, 3818, 1922, 14239, 269, 13018, 267, 649, 2736, 1134, 5630, 1524, 883, 519, 1739, 2609, 912, 268, 16508, 543, 16723, 454, 268, 4317, 543, 7991, 454, 13010, 267, 950, 649, 2911, 827, 1134, 5630, 693, 26673, 3700, 267, 649, 3180, 519, 1739, 4295, 3741, 538, 2247, 912, 268, 4270, 5630, 568, 711, 513, 11979, 1533, 267, 855, 2864, 606, 3742, 1184, 998, 799, 649, 666, 1995, 2123, 2208, 267, 2799, 6043, 267, 543, 9547, 543, 6278, 609, 1272, 563, 268, 4270, 5630, 568, 585, 3025, 269, 11109, 513, 2790, 4576, 1281, 711, 1611, 596, 3112, 610, 798, 711, 723, 1164, 1134, 5630, 269, 17957, 267, 711, 2348, 513, 2790, 4576, 1281, 711, 8209, 1611, 596, 723, 1164, 1134, 5630, 563, 268, 4270, 5630, 568, 1582, 1673, 17827, 269, 3962, 4759, 540, 938, 2146, 666, 5581, 543, 11654, 1134, 5630, 538, 741, 1378, 6073, 563, 268, 1717, 267, 1134, 5630, 1281, 711, 723, 547, 581, 513, 22072, 13287, 269, 1284, 3494, 9244, 538, 519, 2640, 540, 2146, 1416, 563, 268, 4270, 5630, 568, 606, 1271, 1888, 540, 3621, 14374, 269, 1306, 971, 267, 649, 1118, 3646, 547, 2327, 519, 1344, 543, 2200, 3177, 593, 713, 3896, 616, 16135, 538, 3621, 1382, 563, 2414, 519, 1318, 267, 596, 786, 1265, 6402, 547, 3606, 1344, 543, 2200, 1644, 547, 1142, 25246, 540, 1134, 5630, 269, 1411, 666, 849, 1224, 811, 827, 1134, 5630, 689, 519, 15509, 269, 0, 268, 7066, 526, 532, 595, 20975, 454, 268, 4578, 12856, 454, 268, 21952, 3590, 454, 268, 595, 14691, 454, 268, 29120, 7335, 454, 268, 772, 28903, 594, 3008, 1401, 4461, 11872, 454, 268, 3763, 518, 781, 7454, 13756, 454, 268, 5999, 543, 12226, 454, 268, 13229, 1763, 2541, 5675, 454, 268, 15679, 19877, 5999, 454, 268, 8950, 3794, 27443, 454, 268, 5808, 568, 5808, 454, 1692, 3733, 21415, 27786, 952, 594, 786, 946, 606, 4082, 1369, 590, 9331, 3890, 1599, 888, 13923, 700, 624, 999, 476, 1626, 3108, 454, 9262, 700, 624, 999, 476, 276, 269, 276, 3108, 454, 2691, 649, 1331, 606, 4082, 1369, 590, 9331, 3890, 1599, 1287, 3733, 21415, 27786, 621, 585, 1142, 4737, 540, 1239, 543, 519, 2698, 1267, 568, 8120, 269, 1677, 1174, 621, 267, 2015, 519, 1739, 1383, 540, 3349, 2048, 655, 1943, 2465, 8730, 2348, 519, 1739, 3877, 6567, 454, 332, 903, 27942, 285, 8564, 2608, 689, 31287, 282, 1341, 955, 266, 1366, 266, 1366, 266, 1923, 9517, 1923, 8745, 1923, 6428, 776, 1923, 1341, 955, 266, 1366, 266, 1366, 266, 1923, 476, 272, 1923, 717, 879, 9545, 1923, 476, 4335, 876, 1923, 1923, 476, 273, 1923, 31670, 592, 1923, 476, 1220, 876, 1923, 1923, 476, 274, 1923, 5917, 1731, 1923, 476, 7742, 876, 1923, 1923, 476, 275, 1923, 589, 541, 822, 1923, 476, 20981, 876, 1923, 1923, 476, 276, 1923, 10548, 1923, 476, 1220, 876, 1923, 1923, 476, 277, 1923, 15011, 534, 1923, 476, 4968, 876, 1923, 1923, 476, 278, 1923, 589, 32569, 1923, 715, 26097, 1923, 1923, 476, 279, 1923, 15550, 599, 1923, 715, 26097, 1923, 1341, 955, 266, 1366, 266, 1366, 266, 476, 279, 9343, 538, 1305, 630, 271, 269, 876, 3813, 994, 3086, 267, 15475, 952, 649, 1616, 547, 917, 519, 2698, 14057, 540, 519, 5520, 689, 519, 1657, 3349, 1310, 20952, 532, 476, 1911, 271, 8297, 701, 525, 689, 1142, 9441, 779, 14057, 1287, 649, 666, 5173, 621, 676, 1210, 606, 4082, 1369, 590, 9331, 3890, 1599, 267, 11374, 13214, 786, 3132, 519, 2838, 1267, 1305, 6567, 454, 332, 903, 27942, 285, 8564, 590, 9331, 263, 21946, 776, 268, 1911, 271, 264, 689, 31287, 282, 1341, 2411, 734, 266, 1923, 590, 9331, 263, 21946, 776, 268, 1911, 271, 264, 1923, 1341, 2411, 734, 266, 1923, 476, 14225, 1822, 1923, 1341, 2411, 734, 266, 476, 272, 4737, 538, 1305, 630, 271, 269, 4962, 3813, 994, 268, 1215, 3733, 21415, 27786, 950, 594, 946, 513, 19585, 4082, 1369, 590, 9331, 3890, 1599, 888, 268, 1215, 666, 594, 946, 3733, 21415, 17692, 3890, 1599, 1369, 10323, 22268, 3948, 888, 268, 1215, 3733, 21415, 590, 9331, 3890, 1599, 27786, 952, 519, 6241, 2348, 715, 26097, 2418, 1932, 888, 268, 1548, 4523, 952, 594, 786, 946, 8870, 2418, 607, 7440, 540, 3733, 21415, 700, 8016, 12442, 3890, 1599, 888, 268, 2052, 594, 946, 590, 9331, 3890, 609, 17692, 3890, 538, 3733, 21415, 888, 268, 1215, 666, 594, 946, 513, 10323, 22268, 3948, 607, 606, 4661, 540, 3733, 21415, 17692, 3890, 1599, 888, 268, 1548, 3733, 21415, 32412, 2862, 3890, 1599, 7024, 952, 594, 786, 1683, 715, 26097, 547, 621, 888, 268, 1548, 786, 3733, 21415, 8863, 2752, 318, 299, 2894, 294, 8025, 3890, 1599, 2132, 952, 594, 1683, 715, 26097, 547, 621, 888, 268, 1215, 3733, 21415, 590, 9331, 3890, 1599, 27786, 952, 621, 3893, 519, 6241, 267, 2348, 1915, 1239, 1826, 267, 607, 922, 4661, 888, 268, 1215, 3733, 21415, 590, 9331, 3890, 1599, 27786, 952, 621, 568, 1031, 609, 10323, 22268, 3948, 602, 7024, 1100, 12805, 9343, 888, 268, 1215, 3733, 21415, 27786, 606, 8900, 15279, 1228, 31565, 1871, 888, 268, 1215, 666, 649, 946, 3733, 21415, 590, 9331, 3890, 1599, 888, 268, 1215, 3733, 21415, 27786, 952, 649, 946, 12327, 3041, 4811, 11346, 609, 519, 1016, 638, 2044, 602, 7024, 715, 26097, 888, 268, 1215, 3733, 21415, 31136, 952, 594, 946, 29206, 309, 3201, 20438, 609, 606, 23380, 4266, 888, 268, 1215, 3733, 21415, 27786, 952, 594, 2119, 547, 1039, 1079, 2338, 602, 616, 8659, 538, 10530, 286, 0, 2467, 616, 1079, 1898, 12204, 540, 1761, 1648, 281, 14965, 1761, 1648, 543, 11684, 1761, 1648, 563, 763, 14965, 1379, 540, 519, 3047, 3123, 14965, 1761, 1648, 269, 2311, 519, 1448, 950, 606, 1367, 682, 2355, 689, 513, 1164, 7914, 4604, 267, 789, 2244, 609, 1454, 1379, 883, 519, 7535, 18284, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2304, 31587, 4161, 538, 2221, 779, 1153, 568, 547, 2327, 602, 782, 1053, 723, 1569, 547, 606, 3160, 2069, 267, 799, 1058, 538, 2490, 2087, 1514, 543, 2804, 2175, 585, 1312, 1367, 543, 2486, 630, 299, 1495, 22844, 267, 476, 1001, 277, 1040, 634, 7862, 2460, 568, 2523, 20020, 18050, 538, 6917, 2127, 799, 267, 7429, 23195, 4525, 267, 1419, 723, 1713, 7965, 1644, 547, 1279, 9883, 1063, 3506, 267, 3668, 540, 11727, 3610, 543, 2042, 11423, 519, 4928, 1813, 547, 32033, 4332, 6233, 269, 901, 538, 2490, 9673, 1206, 1053, 262, 1318, 547, 606, 3160, 2069, 538, 6917, 2127, 630, 22396, 269, 8891, 614, 26856, 267, 476, 1001, 278, 1916, 4263, 519, 1482, 942, 267, 3059, 1436, 540, 2486, 568, 835, 540, 519, 4909, 2591, 585, 519, 2104, 269, 634, 1646, 543, 3376, 8244, 540, 3059, 4066, 814, 2813, 1007, 2189, 3255, 267, 543, 25354, 267, 585, 556, 628, 9722, 543, 5368, 28124, 1053, 685, 3160, 1569, 547, 1565, 267, 2069, 543, 5698, 538, 519, 3059, 2085, 630, 31890, 543, 16199, 951, 517, 267, 476, 1220, 280, 1040, 20028, 543, 6552, 3450, 616, 971, 1806, 1031, 547, 2327, 3160, 1569, 547, 2069, 267, 711, 2547, 538, 6917, 2127, 630, 22396, 269, 10830, 328, 267, 476, 1708, 271, 282, 8891, 614, 26856, 543, 9986, 1993, 26856, 267, 476, 1001, 280, 1040, 4635, 3059, 4066, 585, 6552, 3450, 723, 7551, 849, 267, 547, 930, 6708, 267, 4957, 519, 1259, 602, 3506, 7500, 543, 519, 2081, 602, 3450, 568, 1373, 5342, 630, 22396, 269, 3245, 267, 8891, 614, 26856, 543, 8891, 614, 26856, 267, 476, 1708, 271, 1040, 1717, 267, 1382, 267, 5121, 543, 21769, 1369, 713, 1858, 666, 581, 1767, 547, 581, 17077, 711, 1152, 693, 513, 29735, 267, 855, 849, 693, 606, 3486, 1377, 630, 21574, 13118, 267, 476, 1001, 274, 282, 5440, 11017, 543, 5440, 11017, 267, 476, 1001, 277, 1916, 17780, 593, 519, 3668, 540, 1382, 267, 5121, 543, 5698, 585, 3384, 6552, 3450, 607, 513, 2259, 267, 519, 4644, 540, 513, 1623, 24007, 729, 4857, 269, 769, 2904, 476, 1708, 271, 267, 519, 3486, 1382, 1623, 24007, 22647, 3450, 547, 2327, 3160, 1569, 547, 2069, 538, 6917, 3506, 729, 4371, 693, 772, 1889, 18033, 2160, 538, 13785, 269, 2311, 519, 1623, 24007, 1114, 2994, 547, 18928, 543, 30082, 2333, 1569, 547, 2069, 693, 5580, 6281, 1153, 1377, 1210, 3059, 4066, 941, 5941, 269, 2290, 2596, 13429, 602, 7153, 1282, 519, 5717, 729, 602, 519, 6228, 540, 267, 543, 1569, 547, 267, 1007, 1344, 4066, 568, 2556, 855, 711, 6190, 269, 769, 519, 5717, 621, 2968, 6654, 602, 621, 786, 581, 540, 14911, 2956, 945, 568, 23518, 547, 1374, 267, 1711, 267, 6427, 543, 3442, 547, 946, 519, 4066, 602, 3986, 741, 2123, 543, 3318, 2729, 563, 763, 1623, 24007, 8507, 538, 606, 1930, 1289, 585, 513, 2027, 3390, 540, 4065, 538, 519, 3345, 267, 799, 8507, 538, 513, 5458, 1719, 711, 1152, 689, 519, 29735, 2477, 855, 689, 3173, 782, 936, 519, 1158, 269, 1306, 666, 581, 2938, 538, 713, 2027, 3390, 267, 1382, 689, 5245, 267, 29494, 13568, 267, 18940, 267, 19360, 267, 10430, 267, 543, 13785, 609, 1114, 6212, 593, 3344, 540, 3160, 1569, 547, 2069, 538, 3506, 616, 6719, 269, 634, 1390, 9153, 540, 713, 2027, 3390, 6013, 538, 922, 1761, 547, 1683, 1382, 540, 1719, 547, 513, 2647, 5304, 267, 1519, 3173, 267, 9439, 543, 14519, 538, 1312, 29735, 543, 3486, 8658, 563, 17359, 12474, 538, 7300, 269, 0, 29670, 6997, 338, 267, 22893, 543, 12124, 2037, 4921, 454, 29670, 22475, 723, 1831, 513, 1134, 8153, 1523, 1031, 5631, 538, 519, 2796, 540, 10319, 5647, 547, 4194, 1950, 6848, 2591, 269, 4595, 922, 27299, 1394, 538, 519, 476, 2735, 271, 338, 267, 2713, 22475, 723, 3262, 936, 2342, 538, 1585, 6329, 267, 1101, 2519, 593, 1007, 23559, 2645, 855, 2663, 849, 14178, 547, 824, 4610, 267, 971, 607, 4264, 1648, 267, 3782, 267, 3106, 267, 543, 4683, 10688, 269, 12389, 22475, 616, 3989, 607, 968, 12528, 7266, 1042, 267, 1930, 5647, 8134, 1759, 593, 9836, 3593, 1071, 268, 21551, 1935, 267, 10128, 1382, 543, 5647, 3157, 538, 1483, 1272, 2950, 543, 5468, 892, 630, 2894, 334, 17247, 267, 476, 1001, 274, 1040, 12389, 22475, 2322, 1927, 4961, 267, 24243, 267, 3549, 267, 4872, 543, 4525, 585, 4745, 1871, 1071, 268, 21551, 267, 4028, 1486, 19685, 267, 543, 5924, 15418, 547, 4336, 5346, 5647, 563, 763, 6662, 540, 713, 8400, 593, 2713, 22475, 568, 547, 6536, 1702, 4483, 689, 4966, 543, 1683, 5363, 4030, 547, 519, 5304, 269, 634, 8400, 3898, 786, 581, 513, 19937, 17564, 267, 1141, 782, 10529, 786, 2671, 741, 2833, 543, 4245, 4121, 950, 7311, 519, 2713, 22475, 1935, 538, 1114, 4683, 5054, 563, 6187, 5239, 476, 1708, 273, 454, 1321, 269, 876, 554, 595, 12239, 0, 763, 2474, 968, 13092, 8904, 892, 630, 8104, 264, 543, 968, 325, 1400, 8904, 892, 630, 293, 294, 264, 616, 513, 2268, 540, 519, 4006, 1543, 540, 519, 530, 677, 1354, 543, 1310, 18829, 563, 268, 476, 272, 1215, 798, 596, 5173, 9474, 309, 689, 744, 294, 543, 674, 294, 888, 268, 476, 273, 1215, 798, 596, 3313, 744, 294, 888, 268, 476, 274, 6496, 744, 294, 1796, 585, 3312, 888, 268, 476, 275, 1548, 568, 707, 645, 3722, 1310, 476, 273, 581, 619, 888, 268, 476, 276, 1215, 1082, 581, 619, 568, 513, 1547, 5400, 645, 3722, 888, 268, 476, 277, 1215, 568, 744, 294, 7229, 14420, 888, 268, 476, 278, 1215, 616, 8904, 2798, 7229, 888, 268, 476, 279, 1215, 798, 596, 2268, 3312, 8904, 540, 14420, 888, 268, 476, 280, 1548, 568, 1250, 3312, 8904, 888, 268, 476, 1015, 4208, 568, 1250, 744, 294, 865, 1970, 888, 268, 476, 1556, 1215, 798, 596, 5173, 840, 14974, 8904, 888, 1692, 798, 596, 5173, 9474, 309, 689, 744, 294, 543, 674, 294, 888, 2704, 4022, 676, 4320, 630, 5723, 309, 264, 568, 513, 2268, 540, 875, 1454, 19844, 568, 1459, 538, 513, 2016, 4320, 540, 606, 23931, 20892, 269, 9474, 309, 568, 7229, 676, 12270, 519, 1297, 540, 19844, 6675, 676, 519, 2698, 1297, 540, 6675, 538, 519, 20892, 543, 14921, 676, 476, 1911, 563, 1692, 798, 596, 3313, 744, 294, 888, 2414, 3313, 519, 744, 294, 540, 513, 14420, 267, 596, 991, 547, 917, 519, 1808, 28040, 885, 540, 519, 530, 677, 1354, 543, 1310, 18829, 269, 634, 3312, 8904, 630, 8104, 264, 568, 519, 1808, 8904, 540, 519, 530, 677, 1354, 18829, 543, 519, 3803, 8904, 630, 293, 294, 264, 568, 519, 1808, 8904, 540, 519, 14420, 1310, 18829, 563, 9989, 744, 294, 1796, 585, 3312, 888, 8104, 267, 799, 6763, 585, 2048, 13092, 14228, 3122, 685, 610, 2048, 13092, 14228, 560, 320, 16224, 568, 513, 8265, 1606, 331, 836, 2165, 602, 729, 2813, 538, 519, 476, 3192, 271, 338, 676, 595, 1815, 559, 29385, 543, 6424, 631, 714, 749, 267, 1079, 5449, 1164, 1153, 2828, 689, 11968, 13353, 267, 11404, 563, 1432, 568, 707, 645, 3722, 1310, 476, 273, 581, 619, 888, 2252, 596, 616, 6704, 14420, 602, 568, 476, 276, 260, 4568, 267, 707, 645, 3722, 1131, 581, 1547, 1015, 1310, 1079, 581, 619, 563, 1692, 1082, 581, 619, 568, 513, 1547, 5400, 645, 3722, 888, 288, 1547, 5400, 645, 3722, 568, 519, 6697, 540, 476, 275, 581, 619, 563, 1692, 568, 744, 294, 7229, 14420, 888, 4913, 267, 519, 1079, 1034, 1455, 2409, 616, 2901, 676, 1210, 513, 3289, 668, 2678, 610, 676, 1210, 513, 18573, 4336, 563, 1692, 616, 8904, 2798, 7229, 888, 24836, 6143, 2798, 616, 7229, 676, 2921, 519, 4009, 540, 519, 3845, 1063, 1079, 3615, 543, 12270, 621, 676, 519, 2040, 540, 519, 13999, 540, 519, 1079, 3615, 563, 1692, 798, 596, 2268, 3312, 8904, 540, 14420, 888, 2414, 2268, 519, 3312, 8904, 540, 513, 14420, 267, 596, 786, 991, 513, 3289, 668, 2678, 543, 513, 4693, 20220, 269, 19130, 519, 4693, 20220, 609, 707, 14420, 3732, 543, 10581, 519, 3289, 668, 2678, 538, 519, 3732, 269, 3367, 519, 8904, 693, 519, 1448, 1141, 519, 5277, 2627, 12969, 338, 609, 519, 6565, 540, 519, 3289, 668, 2678, 563, 1432, 568, 1250, 3312, 8904, 888, 1607, 568, 513, 2352, 2243, 547, 2626, 1510, 811, 1344, 827, 707, 14420, 563, 3963, 568, 1250, 744, 294, 865, 1970, 888, 763, 3312, 8904, 540, 707, 14420, 568, 1970, 1317, 519, 13803, 1705, 711, 6460, 782, 540, 519, 14836, 538, 519, 530, 677, 547, 4568, 269, 901, 666, 581, 1813, 547, 513, 1297, 540, 4128, 267, 1519, 1970, 13803, 1591, 12523, 267, 16789, 18829, 5210, 267, 610, 13385, 513, 3130, 563, 1692, 798, 596, 5173, 840, 14974, 8904, 888, 2414, 5173, 707, 840, 14974, 8904, 596, 991, 547, 10208, 707, 3803, 8904, 689, 707, 3312, 8904, 269, 901, 786, 2285, 596, 707, 8904, 2798, 563, 24314, 32322, 630, 8104, 264, 1107, 15937, 32322, 630, 293, 294, 264, 815, 32322, 18745, 454, 2690, 1383, 267, 952, 707, 3312, 8904, 568, 476, 272, 269, 271, 2568, 543, 707, 3803, 8904, 568, 476, 272, 269, 23713, 267, 1287, 707, 840, 14974, 8904, 1131, 581, 476, 272, 269, 271, 4366, 269, 0, 306, 1539, 7724, 616, 4867, 21947, 609, 3978, 2591, 3823, 2518, 2825, 6940, 630, 324, 3052, 1421, 9265, 2530, 267, 2916, 1689, 267, 5533, 1040, 1677, 1847, 2509, 606, 13476, 4264, 2486, 267, 621, 568, 11130, 602, 14759, 593, 513, 11528, 1377, 616, 2838, 269, 1717, 267, 1018, 666, 581, 938, 5107, 607, 3173, 538, 891, 14759, 286, 1215, 666, 649, 3565, 286, 9701, 649, 2990, 6000, 607, 1689, 8069, 267, 24254, 7004, 267, 607, 4863, 2209, 267, 610, 1058, 649, 3251, 538, 513, 811, 1033, 3737, 5133, 888, 306, 1539, 7724, 991, 547, 2981, 543, 3082, 547, 519, 5222, 540, 2916, 1689, 630, 324, 3052, 1421, 10980, 267, 3002, 2566, 267, 26949, 728, 267, 14700, 1040, 1717, 267, 711, 1169, 3210, 547, 2916, 1689, 568, 513, 1434, 835, 269, 8693, 1689, 568, 7184, 1644, 547, 2152, 540, 21440, 630, 5408, 4216, 476, 272, 1040, 29675, 3527, 666, 1256, 2333, 4540, 17536, 1182, 630, 17951, 3241, 990, 24989, 1696, 620, 269, 476, 1001, 277, 282, 645, 903, 28325, 543, 5754, 4461, 267, 476, 1708, 273, 1040, 1215, 666, 649, 3035, 1175, 267, 4023, 543, 8537, 2916, 9542, 602, 2048, 548, 2314, 1100, 835, 3297, 685, 888, 305, 14445, 532, 8511, 3154, 5434, 568, 835, 540, 519, 1034, 14849, 6940, 2591, 7239, 616, 4867, 6849, 269, 1809, 1018, 1281, 621, 2965, 1611, 547, 1832, 2916, 1689, 538, 1899, 609, 519, 3077, 540, 476, 272, 269, 276, 1107, 476, 273, 5232, 540, 2837, 2333, 607, 8815, 538, 8303, 538, 476, 1001, 276, 888, 763, 2053, 540, 3744, 538, 741, 32334, 13486, 1058, 581, 1279, 936, 269, 12207, 1058, 1071, 268, 22056, 543, 2932, 1382, 3785, 1927, 609, 8639, 547, 5352, 1382, 602, 568, 6848, 4143, 543, 3730, 269, 2311, 2547, 602, 779, 519, 20440, 269, 769, 2259, 267, 1071, 268, 21551, 7140, 856, 547, 581, 1454, 8945, 1512, 543, 811, 942, 21791, 269, 0, 5472, 5070, 17549, 1522, 1413, 7567, 267, 855, 596, 1131, 581, 14281, 693, 782, 519, 1114, 3334, 602, 979, 883, 621, 269, 3528, 4460, 18412, 454, 1692, 1454, 3017, 1223, 972, 7654, 581, 538, 5070, 17549, 286, 2368, 5070, 267, 930, 1957, 267, 930, 15441, 269, 1215, 2182, 1223, 621, 581, 267, 1318, 286, 4270, 267, 621, 7140, 856, 972, 616, 930, 1713, 3604, 269, 1215, 2182, 729, 519, 968, 338, 663, 892, 1031, 593, 707, 1957, 286, 634, 9875, 519, 7777, 267, 519, 3476, 621, 16569, 269, 634, 3476, 621, 16569, 267, 519, 811, 11327, 519, 18048, 563, 305, 908, 875, 2182, 610, 15072, 15033, 513, 1880, 7777, 729, 6273, 676, 513, 4436, 2520, 6048, 538, 476, 8687, 273, 269, 26179, 15011, 338, 2919, 513, 1505, 540, 9236, 21052, 676, 7487, 799, 6886, 1131, 15072, 1866, 269, 18924, 4637, 616, 693, 519, 1283, 540, 519, 15011, 779, 17361, 543, 616, 15951, 630, 1015, 1070, 543, 5657, 322, 630, 14551, 10036, 264, 15951, 630, 272, 264, 568, 693, 519, 5377, 282, 519, 2362, 519, 1297, 267, 519, 9875, 519, 7777, 269, 634, 9875, 519, 7777, 267, 519, 3476, 621, 16569, 563, 763, 1482, 3448, 21052, 3390, 849, 7255, 7338, 25306, 267, 513, 3703, 7548, 540, 12669, 21395, 538, 476, 6245, 277, 269, 1261, 267, 1932, 267, 11827, 513, 1505, 547, 2268, 519, 15072, 21052, 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 ]
[ 1284, 666, 1287, 946, 891, 13421, 4857, 676, 519, 5690, 547, 1118, 11236, 585, 799, 1895, 610, 12440, 513, 1007, 8343, 12851, 547, 780, 258, 11137, 692, 5331, 649, 6592, 930, 1239, 543, 1500, 513, 14649, 4729, 1384, 763, 2816, 540, 918, 24578, 753, 24159, 568, 547, 2697, 13421, 610, 2516, 1369, 519, 1239, 1384, 1607, 568, 3730, 2094, 952, 649, 941, 547, 2594, 513, 1007, 8343, 267, 649, 666, 2697, 799, 1895, 713, 8343, 1034, 2693, 12851, 547, 998, 737, 24578, 753, 24159, 780, 258, 634, 23990, 692, 1012, 5153, 476, 272, 1384, 16521, 519, 1297, 540, 13421, 610, 2516, 630, 330, 264, 596, 6999, 547, 2322, 519, 1239, 883, 267, 1577, 721, 3442, 476, 274, 563, 2171, 786, 2663, 1865, 513, 1505, 538, 799, 519, 2780, 666, 1265, 519, 1655, 1297, 540, 13421, 585, 721, 780, 1012, 5153, 476, 273, 1384, 305, 24655, 569, 3355, 1047, 737, 2798, 267, 519, 616, 1572, 1298, 28281, 780, 1012, 5153, 476, 274, 1384, 26368, 519, 2798, 14191, 547, 1142, 1298, 5514, 1384, 1012, 5153, 476, 275, 1384, 24280, 519, 1611, 3845, 938, 1298, 5514, 568, 2476, 689, 1142, 1448, 538, 1142, 12440, 543, 1847, 938, 1298, 5514, 547, 602, 2990, 780, 1012, 5153, 476, 276, 1384, 3725, 701, 520, 3268, 476, 274, 543, 476, 275, 2394, 519, 1611, 540, 519, 2798, 538, 1142, 12440, 3788, 519, 1482, 1384, 1892, 1284, 723, 6707, 4857, 519, 1614, 13421, 538, 938, 5690, 269, 1809, 713, 949, 711, 2141, 581, 519, 2013, 912, 1892, 6884, 649, 723, 606, 3355, 5314, 540, 1298, 28281, 630, 3721, 476, 273, 264, 602, 2164, 538, 13421, 602, 3100, 4636, 269, 1280, 1383, 912, 1892, 1677, 2061, 713, 689, 8345, 649, 2327, 649, 798, 1082, 4351, 3355, 3074, 563, 1892, 1677, 3442, 799, 4611, 13421, 689, 938, 1082, 4351, 3355, 3074, 9290, 938, 1239, 1655, 649, 1413, 693, 519, 6662, 1599, 780, 258, 634, 20638, 9577, 692, 2414, 6662, 1599, 568, 2016, 676, 519, 1739, 4542, 1384, 1103, 713, 4542, 649, 616, 1384, 272, 269, 10753, 14563, 936, 782, 1298, 28281, 454, 273, 269, 29626, 519, 3845, 1142, 1298, 5514, 568, 2476, 689, 519, 1239, 2798, 538, 922, 12440, 454, 274, 269, 8293, 2130, 543, 2040, 2719, 891, 9883, 692, 2690, 1142, 4351, 3355, 1436, 649, 3442, 519, 3803, 13421, 3812, 609, 519, 9803, 6662, 1599, 1871, 269, 1924, 538, 519, 1739, 2013, 1384, 2171, 1131, 3442, 519, 13421, 3812, 689, 4351, 3355, 1436, 476, 272, 2094, 713, 7472, 519, 4130, 6662, 1599, 1871, 269, 769, 2489, 267, 585, 811, 1239, 267, 649, 1131, 798, 811, 4351, 3355, 3074, 269, 4033, 3355, 1436, 2409, 267, 799, 2087, 519, 4398, 540, 519, 5690, 666, 581, 1224, 1934, 281, 13017, 780, 258, 19805, 519, 1297, 540, 13421, 692, 5804, 519, 1657, 11708, 267, 621, 729, 2312, 547, 1294, 602, 476, 274, 13421, 8604, 5078, 585, 938, 1239, 269, 6884, 713, 568, 1447, 6654, 267, 585, 1383, 875, 1082, 13421, 1058, 649, 3442, 585, 519, 1739, 1239, 2496, 2005, 568, 1271, 547, 4063, 602, 538, 2489, 1384, 1892, 634, 811, 13421, 610, 1298, 28281, 649, 1331, 267, 519, 1447, 519, 2949, 6662, 1599, 1871, 563, 1892, 1403, 938, 1297, 540, 13421, 610, 1298, 28281, 568, 3160, 547, 938, 1297, 540, 1239, 2798, 267, 1287, 713, 1131, 3132, 606, 6662, 1599, 1871, 540, 476, 271, 269, 901, 568, 1317, 649, 1131, 723, 2614, 1298, 28281, 547, 1747, 593, 1169, 1239, 1448, 780, 1012, 634, 4432, 11312, 6396, 692, 2414, 6430, 875, 1082, 13421, 737, 547, 1331, 649, 4729, 938, 6662, 1599, 2418, 849, 1634, 607, 954, 339, 807, 267, 1996, 1297, 540, 13421, 918, 269, 1284, 949, 1205, 513, 1267, 602, 5654, 899, 713, 585, 930, 10471, 1384, 2414, 1265, 519, 6099, 1297, 540, 13421, 267, 649, 2824, 519, 1871, 540, 918, 693, 519, 23969, 540, 519, 3113, 269, 901, 568, 519, 1448, 1175, 1354, 519, 24880, 630, 984, 11187, 1599, 264, 6238, 13302, 31085, 269, 1924, 689, 519, 1657, 3113, 649, 1131, 3442, 476, 274, 13421, 780, 258, 19047, 540, 918, 24578, 753, 24159, 692, 1892, 11822, 543, 2656, 547, 2936, 454, 1892, 3718, 1134, 593, 1804, 14449, 454, 1892, 11154, 338, 1134, 547, 1007, 1806, 630, 11907, 2798, 994, 1892, 14168, 547, 4612, 692, 1892, 18771, 2824, 1297, 540, 13421, 918, 16924, 799, 568, 942, 10438, 454, 1892, 1849, 31255, 616, 1198, 539, 8185, 676, 856, 11502, 563, 1892, 7756, 4351, 1298, 5514, 3355, 3074, 949, 2285, 1114, 13421, 2443, 3340, 1082, 3355, 3074, 780, 1103, 519, 1985, 12558, 649, 786, 581, 7598, 918, 24578, 753, 24159, 547, 513, 1483, 3734, 10471, 1210, 5124, 780, 258, 12834, 692, 1892, 918, 24578, 753, 24159, 568, 513, 1455, 5667, 10967, 14876, 3684, 1565, 5690, 602, 568, 1031, 547, 12440, 1239, 883, 2516, 454, 1892, 1284, 798, 1082, 3355, 3074, 540, 1298, 28281, 547, 2327, 649, 2824, 585, 13421, 602, 6922, 1047, 938, 6662, 1599, 454, 1892, 634, 23969, 1505, 568, 1031, 547, 3442, 519, 1297, 540, 13421, 585, 938, 1239, 547, 581, 2322, 883, 692, 24309, 676, 692, 24309, 676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 2004, 547, 476, 3199, 1296, 540, 4616, 6521, 630, 5408, 4137, 476, 274, 1916, 4510, 763, 1935, 649, 723, 1031, 10714, 338, 519, 17916, 6988, 540, 9657, 267, 538, 1880, 607, 14621, 519, 11636, 21324, 540, 519, 1570, 779, 3601, 630, 6658, 19464, 1070, 799, 814, 1044, 1110, 8215, 998, 2242, 538, 519, 23811, 540, 519, 1570, 1062, 630, 294, 7238, 29967, 1782, 268, 3725, 529, 655, 2335, 267, 538, 966, 517, 717, 548, 747, 1299, 620, 269, 476, 1220, 277, 1040, 901, 8343, 267, 2705, 267, 1281, 711, 1860, 519, 14496, 540, 938, 2079, 267, 2094, 1524, 19464, 568, 14648, 538, 713, 2013, 607, 835, 540, 519, 2930, 7687, 547, 7753, 952, 649, 616, 547, 3035, 513, 1164, 9657, 2557, 563, 3393, 301, 528, 1281, 938, 2079, 3409, 547, 4431, 547, 12722, 779, 16529, 543, 22317, 3390, 540, 968, 2889, 338, 704, 640, 1510, 2208, 892, 630, 297, 11055, 267, 476, 1220, 279, 1040, 1306, 661, 9469, 2798, 856, 267, 968, 514, 835, 2631, 267, 1022, 1377, 540, 946, 540, 1875, 3146, 2908, 762, 2200, 568, 5667, 20980, 892, 630, 292, 9469, 267, 476, 1220, 271, 1040, 769, 12343, 267, 513, 968, 704, 2006, 1836, 4264, 892, 4346, 3112, 267, 547, 581, 9985, 9237, 267, 7048, 9247, 593, 1570, 2208, 269, 1717, 267, 938, 2079, 1281, 4431, 547, 12722, 779, 27592, 547, 960, 593, 513, 5912, 2509, 513, 4264, 4346, 543, 547, 1305, 2825, 7182, 593, 1480, 2534, 267, 538, 519, 3337, 711, 540, 7811, 7355, 267, 855, 540, 7355, 1644, 547, 519, 4346, 779, 8579, 2418, 563, 5379, 5978, 2079, 1281, 7866, 1896, 1271, 5013, 269, 898, 11887, 513, 1647, 1576, 267, 543, 4061, 513, 31544, 835, 267, 1063, 519, 29252, 4853, 7269, 540, 519, 476, 736, 628, 2540, 543, 519, 1869, 5393, 5691, 3077, 540, 8236, 1570, 2554, 9512, 593, 513, 2518, 4336, 269, 2755, 649, 616, 10853, 538, 16561, 519, 991, 585, 2804, 2208, 543, 519, 1869, 4540, 23993, 1063, 5763, 5137, 543, 1570, 4616, 267, 649, 6542, 602, 621, 568, 2009, 267, 952, 1978, 2175, 616, 1558, 267, 547, 1852, 538, 519, 1279, 2165, 519, 16795, 22930, 540, 13671, 12074, 540, 519, 9030, 8407, 543, 1644, 2825, 5222, 563, 5325, 2171, 666, 9034, 1047, 519, 1614, 29039, 21644, 540, 4264, 1570, 2208, 630, 29664, 476, 275, 1070, 538, 824, 1913, 267, 4766, 519, 9043, 540, 513, 4264, 4346, 799, 1281, 711, 7048, 593, 513, 6175, 538, 519, 991, 585, 6151, 2326, 912, 300, 1468, 2208, 1590, 581, 1447, 267, 610, 1256, 14320, 1447, 267, 982, 476, 272, 260, 829, 3045, 636, 630, 29115, 2557, 540, 2518, 2504, 540, 1142, 6151, 1570, 267, 3119, 1341, 13381, 1916, 763, 9657, 4398, 2557, 1590, 581, 3152, 982, 476, 2568, 9077, 610, 1256, 476, 3199, 260, 630, 2889, 15251, 540, 1570, 8659, 538, 3653, 799, 568, 2965, 13381, 1916, 763, 2557, 540, 1840, 547, 13632, 1590, 581, 1447, 982, 476, 736, 9077, 2495, 602, 519, 4346, 1590, 11166, 607, 3653, 693, 2547, 476, 3199, 260, 540, 519, 9424, 540, 1142, 1570, 621, 27499, 563, 4366, 763, 2619, 568, 7522, 543, 4101, 267, 14053, 513, 7453, 3666, 1063, 1614, 4909, 6724, 267, 17528, 799, 621, 1131, 3274, 1831, 7543, 547, 1265, 513, 3070, 547, 519, 1966, 540, 4264, 2359, 540, 1875, 3146, 2908, 762, 2200, 563, 8201, 476, 275, 269, 634, 1614, 7355, 585, 4264, 1570, 2208, 454, 4467, 618, 281, 634, 6516, 593, 519, 2451, 14550, 1875, 10687, 20869, 609, 519, 1614, 6940, 7355, 281, 1932, 1454, 13250, 543, 4061, 1932, 2370, 3653, 538, 6935, 547, 1570, 10057, 267, 1932, 2370, 9657, 538, 6935, 547, 519, 2179, 540, 3653, 6383, 267, 543, 1932, 1390, 606, 2333, 538, 519, 991, 585, 6151, 1570, 1063, 1079, 9979, 269, 634, 6516, 593, 519, 1318, 267, 799, 5360, 625, 609, 519, 1614, 7355, 267, 1281, 711, 6565, 519, 9764, 2095, 543, 7182, 5373, 593, 1875, 3146, 2908, 762, 2200, 563, 268, 476, 1556, 1323, 22192, 14165, 568, 602, 519, 1614, 7355, 9062, 3090, 1227, 2864, 982, 1039, 909, 281, 2743, 514, 630, 1862, 994, 5392, 1103, 938, 27139, 1935, 267, 513, 4075, 6681, 3395, 2486, 5036, 909, 513, 968, 638, 14515, 2275, 1844, 983, 892, 4346, 267, 1775, 4318, 269, 606, 4346, 799, 12346, 593, 9657, 543, 849, 5360, 625, 609, 519, 2175, 2838, 585, 9657, 547, 723, 513, 1713, 1198, 593, 513, 4336, 15095, 609, 1480, 14438, 269, 6270, 513, 2486, 786, 1995, 1970, 1570, 2208, 2557, 267, 786, 18645, 1360, 26815, 267, 786, 4061, 11166, 607, 3653, 3592, 607, 1454, 1570, 607, 621, 27499, 267, 543, 786, 22120, 1034, 540, 922, 1875, 3146, 2908, 762, 3653, 630, 29664, 476, 275, 1040, 17957, 267, 513, 2486, 799, 1281, 711, 7747, 782, 1614, 540, 891, 7355, 8195, 786, 711, 8488, 3648, 3803, 22930, 540, 12074, 6862, 2569, 519, 2825, 5222, 3361, 676, 7050, 3119, 6151, 2326, 4616, 1556, 563, 2004, 4322, 1614, 6724, 616, 1614, 682, 951, 585, 2962, 267, 543, 789, 616, 267, 547, 513, 9645, 6708, 267, 4830, 540, 1142, 824, 543, 10502, 3989, 269, 1358, 1118, 621, 2009, 547, 6218, 4264, 2359, 4507, 540, 1875, 3146, 2908, 762, 6151, 2326, 630, 14456, 476, 272, 1040, 769, 25715, 645, 267, 649, 723, 3254, 875, 789, 3313, 519, 1646, 7653, 540, 1875, 3146, 2908, 762, 2200, 4616, 563, 8368, 476, 272, 269, 16214, 7355, 585, 513, 4264, 2359, 3609, 540, 513, 1875, 3146, 2908, 762, 6151, 1570, 454, 11403, 2433, 23582, 27822, 454, 307, 10157, 2433, 11192, 7698, 29283, 281, 3800, 519, 2698, 1570, 946, 2404, 609, 6469, 2504, 543, 4616, 2238, 267, 1519, 9940, 8928, 16865, 855, 1447, 18666, 543, 2404, 9940, 8928, 540, 18666, 630, 302, 25929, 267, 476, 1220, 279, 1040, 10046, 338, 540, 13381, 1570, 538, 519, 4346, 616, 711, 3769, 269, 1677, 12446, 693, 519, 2698, 4616, 540, 6151, 2326, 630, 27146, 776, 1341, 13381, 1070, 23582, 27822, 1590, 581, 3773, 547, 570, 10157, 563, 7906, 20245, 4485, 547, 519, 6940, 540, 519, 6151, 2326, 4346, 616, 1759, 593, 606, 2079, 540, 10868, 543, 11166, 2621, 538, 519, 2067, 1604, 269, 634, 8928, 789, 1331, 616, 5631, 519, 4616, 540, 3119, 6151, 2326, 543, 519, 12871, 540, 10700, 3653, 630, 328, 4318, 269, 799, 568, 8120, 547, 519, 2067, 1604, 5148, 9657, 8928, 1373, 9833, 607, 4835, 547, 519, 2804, 1062, 267, 1152, 8429, 1719, 568, 3254, 538, 2698, 6151, 1570, 4616, 610, 2698, 3653, 8928, 267, 1775, 4318, 269, 799, 1331, 13381, 2326, 269, 1284, 723, 267, 2705, 267, 3254, 602, 971, 4485, 3112, 581, 519, 6852, 4493, 585, 1857, 610, 4853, 14422, 267, 2094, 789, 10714, 519, 851, 5129, 676, 4616, 538, 519, 6384, 540, 519, 4346, 281, 2804, 2208, 11710, 689, 519, 4616, 540, 1312, 3119, 543, 6281, 6151, 2326, 865, 602, 922, 4890, 6384, 616, 711, 1483, 12264, 1110, 8215, 952, 1152, 3119, 4616, 8928, 616, 21845, 269, 3776, 1935, 896, 6050, 519, 23801, 2956, 540, 11287, 2698, 6151, 1570, 4616, 630, 307, 10157, 266, 11403, 264, 543, 922, 2208, 950, 30228, 519, 6940, 540, 519, 6151, 2326, 4346, 563, 7367, 2690, 1383, 267, 606, 8343, 540, 519, 14258, 585, 2518, 4616, 540, 3119, 1291, 8761, 513, 13581, 5817, 6749, 1063, 476, 3192, 271, 543, 476, 1960, 276, 267, 543, 3947, 519, 12705, 602, 606, 6207, 1232, 537, 7204, 540, 519, 4346, 7018, 282, 855, 950, 519, 19469, 14258, 585, 519, 4616, 540, 1312, 3119, 543, 6281, 630, 516, 7094, 539, 264, 1291, 616, 4767, 267, 621, 3587, 2312, 602, 713, 729, 711, 519, 2013, 693, 782, 269, 10801, 713, 1974, 267, 609, 519, 5618, 9868, 540, 2947, 1296, 1354, 476, 1960, 276, 267, 2518, 1291, 4616, 2760, 30403, 547, 2333, 267, 23344, 7444, 267, 543, 519, 6749, 4767, 538, 519, 4616, 540, 3119, 1291, 936, 1079, 5756, 729, 3274, 519, 1098, 7480, 1198, 540, 513, 16795, 2333, 538, 519, 9657, 2557, 269, 898, 1223, 4061, 1152, 581, 2110, 24331, 267, 2394, 9657, 3928, 11689, 2213, 693, 513, 2362, 1377, 267, 607, 759, 25390, 2208, 19890, 9672, 538, 519, 1101, 1296, 540, 713, 2540, 630, 294, 4592, 572, 267, 476, 1001, 271, 1916, 7871, 5978, 1935, 849, 20781, 547, 519, 2243, 6659, 593, 519, 1641, 540, 3864, 4507, 538, 519, 4367, 547, 713, 2376, 269, 2755, 519, 3435, 547, 581, 8045, 547, 7854, 519, 1614, 7355, 2611, 547, 581, 3989, 543, 786, 19037, 581, 1950, 267, 741, 7954, 543, 14422, 616, 1631, 829, 1061, 1043, 563, 268, 476, 1321, 898, 568, 22317, 547, 3314, 602, 3653, 834, 1889, 753, 1022, 6219, 610, 1843, 799, 519, 23649, 1167, 1841, 610, 630, 1862, 994, 268, 476, 1724, 769, 1880, 267, 1346, 8659, 538, 3864, 6034, 633, 476, 1220, 279, 270, 7176, 270, 4753, 593, 3653, 630, 31323, 267, 1220, 279, 994, 7918, 2690, 4264, 1646, 267, 1434, 3653, 568, 711, 3653, 14284, 267, 855, 3653, 13381, 269, 1321, 2368, 540, 519, 32475, 8659, 538, 1699, 4507, 6565, 689, 519, 1249, 602, 789, 2285, 10862, 547, 3653, 5786, 936, 9657, 1724, 563, 4649, 288, 2034, 4617, 1448, 568, 602, 789, 6140, 7048, 593, 3653, 2359, 585, 1570, 2359, 267, 799, 12153, 829, 2091, 2360, 610, 2192, 16272, 912, 1492, 21903, 602, 9657, 593, 922, 1378, 1223, 1404, 513, 1883, 1909, 538, 519, 5726, 540, 12074, 543, 538, 519, 5786, 540, 3119, 4616, 2825, 5222, 267, 6466, 621, 568, 3592, 24631, 538, 519, 9000, 540, 1022, 23646, 1524, 540, 2698, 1570, 4616, 2208, 3248, 1492, 21903, 602, 606, 4674, 547, 2569, 3653, 5108, 1131, 1291, 8850, 547, 23646, 1524, 1570, 2208, 267, 6466, 621, 568, 1175, 607, 12155, 547, 2348, 519, 829, 2091, 1198, 540, 2810, 1570, 13250, 563, 268, 476, 1691, 769, 1880, 267, 4227, 3653, 12531, 1281, 711, 1611, 519, 1482, 3364, 538, 2127, 540, 519, 1158, 1141, 729, 630, 1862, 994, 6321, 5978, 2079, 4061, 5267, 602, 1699, 3653, 6604, 4507, 1058, 581, 12649, 2443, 610, 693, 2547, 5386, 2389, 25293, 1691, 543, 1065, 3789, 539, 1369, 513, 1007, 15796, 5059, 593, 9657, 269, 5565, 2798, 1058, 581, 5587, 1881, 610, 6439, 1881, 538, 713, 2463, 912, 4002, 519, 835, 1688, 267, 3653, 6604, 538, 519, 2495, 540, 519, 3864, 6034, 633, 30012, 1927, 1896, 1114, 2035, 267, 1775, 4318, 269, 1101, 569, 3653, 5786, 693, 2707, 267, 2034, 569, 1570, 7041, 585, 556, 14025, 630, 6518, 632, 1249, 334, 11151, 621, 689, 4742, 3653, 1070, 543, 6368, 5786, 540, 5739, 2360, 543, 1543, 538, 5739, 6878, 538, 3653, 269, 2755, 519, 2063, 1079, 616, 993, 2952, 20582, 585, 3608, 1570, 2359, 267, 519, 1101, 1523, 3112, 267, 607, 649, 723, 2907, 7074, 267, 581, 2451, 607, 621, 568, 563, 4002, 519, 824, 1688, 267, 519, 2035, 540, 6604, 543, 7041, 585, 556, 14025, 616, 711, 538, 519, 1482, 7121, 607, 519, 824, 3688, 538, 519, 3653, 15796, 1305, 856, 538, 519, 6034, 633, 267, 799, 616, 2930, 3653, 3491, 22422, 5773, 269, 4256, 2990, 538, 519, 3653, 15796, 12958, 10539, 538, 519, 6388, 540, 1857, 4507, 563, 6872, 763, 3864, 6034, 633, 593, 3653, 1223, 4061, 1847, 4464, 538, 519, 1739, 1259, 912, 30696, 532, 3653, 15796, 593, 2326, 3491, 22422, 5773, 585, 2326, 2899, 789, 723, 1831, 3653, 267, 543, 5693, 17568, 9657, 607, 513, 1101, 10862, 563, 294, 1516, 6604, 4507, 2407, 1857, 10862, 267, 5094, 689, 3653, 15796, 267, 543, 1140, 2286, 547, 621, 922, 1378, 6604, 15796, 912, 27609, 532, 2326, 543, 2472, 585, 556, 14025, 454, 27609, 532, 2326, 543, 2472, 585, 9657, 454, 22879, 532, 519, 2504, 540, 3653, 602, 3112, 581, 13381, 267, 1775, 4318, 269, 3653, 538, 519, 2825, 2631, 540, 519, 2262, 267, 811, 25516, 982, 519, 3656, 2495, 267, 630, 5408, 4216, 994, 27609, 532, 2326, 543, 2472, 609, 513, 2070, 547, 4227, 519, 5739, 2360, 540, 3653, 593, 519, 1604, 543, 593, 1480, 1072, 454, 27609, 532, 2326, 543, 2472, 609, 513, 2070, 547, 4227, 741, 1543, 538, 5739, 6878, 563, 6812, 288, 811, 16529, 4528, 1058, 1331, 267, 538, 930, 1106, 799, 3788, 547, 581, 3989, 267, 606, 3801, 547, 1232, 537, 921, 5763, 689, 6151, 1570, 4616, 630, 18485, 3119, 543, 13381, 264, 593, 519, 835, 1688, 267, 543, 547, 1265, 513, 1259, 547, 1852, 538, 14025, 6006, 2208, 593, 519, 824, 269, 634, 3067, 1881, 6859, 799, 616, 519, 6364, 540, 938, 2079, 1223, 3391, 971, 4507, 267, 5823, 676, 5823, 267, 585, 1142, 1570, 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 ]
[ 6703, 267, 543, 12167, 585, 5711, 1072, 6304, 3292, 1547, 1635, 2921, 606, 3742, 1909, 538, 5009, 1808, 3782, 7341, 267, 2564, 8021, 666, 3565, 547, 5355, 519, 2949, 1072, 543, 1134, 5630, 540, 2043, 543, 2950, 269, 1635, 7598, 891, 2994, 543, 1866, 267, 2564, 8021, 666, 3986, 741, 1909, 538, 3782, 543, 2417, 1489, 2963, 2861, 2259, 267, 10629, 2069, 543, 2866, 267, 15834, 5698, 267, 543, 3461, 1416, 269, 1452, 2994, 5512, 2564, 8021, 547, 3082, 547, 519, 4657, 3782, 5251, 543, 3136, 547, 1683, 3407, 2200, 543, 1344, 547, 3782, 4648, 543, 2550, 7567, 563, 2026, 2029, 8441, 543, 1007, 3466, 10836, 267, 2564, 8021, 616, 26405, 547, 9784, 891, 2242, 543, 3136, 547, 11457, 269, 2290, 1713, 7678, 538, 2564, 8021, 568, 519, 5610, 540, 5841, 4987, 630, 9590, 264, 1547, 3642, 814, 519, 1761, 547, 22499, 1344, 23023, 543, 2359, 267, 3850, 585, 811, 3608, 543, 10531, 1569, 547, 2564, 3332, 543, 2200, 1547, 12213, 1565, 543, 8849, 3060, 3631, 616, 2907, 1373, 8246, 538, 519, 1646, 540, 1007, 5108, 1344, 23023, 1949, 267, 1818, 519, 1184, 540, 4466, 4143, 1344, 5488, 543, 811, 4977, 1547, 6271, 7678, 538, 2564, 8021, 568, 519, 13345, 540, 5691, 4641, 630, 23623, 264, 543, 21284, 4641, 630, 2752, 264, 4066, 1547, 15283, 543, 8121, 723, 519, 1761, 547, 2981, 2564, 2069, 543, 2866, 676, 3246, 15138, 543, 7317, 1565, 2833, 1547, 6481, 8021, 666, 6451, 15283, 270, 2752, 4066, 883, 741, 2200, 543, 2533, 267, 3850, 3782, 4648, 543, 1053, 547, 14650, 1950, 2564, 2035, 267, 2259, 5773, 538, 513, 20533, 1604, 267, 543, 3986, 741, 1620, 540, 2564, 2175, 1547, 1306, 891, 4066, 3136, 547, 11457, 543, 1831, 811, 3015, 267, 519, 7399, 585, 5647, 538, 2564, 8021, 616, 5318, 269, 5015, 267, 2564, 8021, 616, 849, 693, 519, 21282, 540, 2259, 5647, 1369, 519, 3119, 1416, 2564, 1753, 630, 303, 13967, 295, 264, 2203, 1547, 634, 7193, 300, 295, 2203, 11363, 3102, 267, 20291, 267, 543, 3461, 19721, 1416, 4586, 272, 269, 1284, 1047, 267, 674, 269, 1496, 12487, 7876, 6012, 12487, 7876, 316, 9861, 972, 281, 519, 5399, 607, 1747, 269, 630, 333, 6155, 4700, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 267, 689, 8940, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 32508, 270, 14895, 18025, 10157, 27183, 271, 4200, 13045, 273, 269, 4858, 8775, 267, 681, 269, 2201, 519, 5169, 540, 513, 2249, 281, 4720, 540, 1072, 9443, 7172, 12579, 1222, 907, 630, 333, 6155, 4700, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 267, 689, 8940, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 32508, 270, 14895, 18025, 10157, 26297, 21327, 13045, 274, 269, 667, 4319, 338, 267, 808, 269, 10684, 6602, 281, 513, 3140, 5133, 269, 630, 333, 6155, 4700, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 267, 689, 8940, 4732, 7220, 3820, 270, 8742, 270, 11274, 270, 1015, 269, 12208, 277, 4882, 7220, 269, 27868, 269, 276, 5379, 271, 269, 3422, 271, 454, 275, 269, 30094, 2917, 267, 595, 1421, 4425, 1054, 267, 589, 1421, 24872, 267, 623, 269, 634, 1909, 540, 519, 1344, 11285, 538, 519, 9836, 2689, 1184, 281, 513, 1072, 1344, 2013, 1353, 269, 630, 333, 6155, 4700, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 267, 689, 593, 4802, 601, 3869, 9884, 13704, 2593, 454, 276, 269, 27684, 1676, 267, 667, 1421, 7984, 638, 28496, 267, 595, 269, 24157, 8839, 585, 2790, 1072, 3028, 3755, 3487, 476, 272, 281, 513, 9836, 2689, 269, 630, 333, 6155, 4700, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 267, 689, 593, 4802, 601, 3869, 9884, 13704, 2593, 454, 277, 269, 14986, 267, 700, 269, 3955, 2889, 32216, 5698, 538, 519, 15096, 308, 281, 875, 547, 5581, 286, 29688, 630, 333, 6155, 4700, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 267, 689, 593, 4802, 601, 3869, 9884, 13704, 2593, 454, 278, 269, 19903, 2120, 267, 717, 1421, 30709, 752, 3298, 5652, 13001, 295, 599, 1676, 267, 590, 269, 3955, 13694, 2792, 543, 5698, 1851, 13500, 267, 11923, 267, 543, 796, 997, 10234, 4217, 633, 10986, 269, 630, 333, 6155, 4700, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 267, 689, 521, 10176, 777, 889, 338, 269, 517, 4802, 601, 3869, 9884, 13704, 2593, 270, 8742, 270, 11274, 270, 1015, 269, 9340, 272, 10768, 20692, 269, 13199, 1789, 454, 279, 269, 14600, 2023, 267, 595, 1421, 1520, 1515, 267, 595, 1421, 21025, 20044, 773, 267, 661, 1421, 4793, 1084, 267, 590, 269, 11310, 4483, 543, 5385, 281, 2689, 543, 10282, 540, 519, 3332, 269, 630, 333, 6155, 4700, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 267, 689, 593, 4802, 601, 3869, 9884, 13704, 2593, 454, 280, 269, 26636, 523, 10773, 267, 570, 269, 1496, 14457, 6012, 14457, 316, 18509, 3215, 1416, 8584, 829, 559, 748, 3460, 998, 519, 1072, 1416, 1062, 269, 630, 333, 6155, 4700, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 267, 689, 524, 2572, 17621, 343, 269, 626, 269, 1186, 340, 12975, 454, 1015, 269, 6555, 718, 267, 623, 269, 634, 946, 540, 2123, 3059, 20843, 538, 4791, 3375, 1818, 676, 1072, 1416, 4648, 281, 513, 9836, 2689, 269, 630, 333, 6155, 4700, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 267, 689, 13746, 4732, 720, 335, 889, 2593, 270, 8742, 270, 11274, 270, 1015, 269, 14056, 278, 270, 16409, 271, 3393, 279, 2641, 28192, 6858, 277, 272, 454, 1556, 269, 674, 1177, 322, 9116, 267, 590, 1421, 10266, 324, 268, 4517, 4319, 338, 267, 589, 269, 4635, 16882, 3069, 538, 10319, 12352, 585, 2146, 1072, 543, 1646, 269, 630, 333, 6155, 4700, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 267, 689, 593, 4802, 601, 3869, 9884, 13704, 2593, 270, 8742, 270, 11274, 270, 1015, 269, 1911, 278, 20324, 293, 28276, 6187, 280, 9262, 454, 1321, 269, 5096, 625, 267, 918, 269, 634, 1344, 13001, 572, 22701, 7180, 540, 7189, 281, 513, 2689, 540, 519, 2963, 269, 630, 333, 6155, 4700, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 267, 689, 593, 4802, 601, 3869, 9884, 13704, 2593, 454, 1724, 269, 22642, 523, 267, 623, 1421, 26232, 600, 9369, 267, 570, 269, 25947, 519, 5711, 1072, 540, 4587, 1004, 281, 519, 1935, 540, 519, 14959, 6820, 17327, 2657, 19510, 269, 630, 333, 6155, 4700, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 267, 689, 593, 4802, 601, 3869, 9884, 13704, 2593, 454, 1691, 269, 24204, 267, 918, 1421, 717, 784, 267, 681, 1421, 6129, 267, 700, 1421, 808, 21628, 267, 595, 269, 634, 3498, 540, 5841, 4987, 538, 5100, 5399, 269, 630, 333, 6155, 4700, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 267, 689, 8940, 269, 520, 331, 656, 529, 1790, 816, 2593, 24579, 17503, 270, 4815, 328, 268, 866, 270, 10219, 280, 866, 29710, 454, 1428, 269, 2473, 340, 267, 2473, 1421, 631, 836, 2088, 267, 661, 1421, 23720, 267, 589, 269, 1496, 12487, 7876, 6012, 12487, 7876, 316, 670, 13270, 2861, 5691, 543, 21284, 4641, 538, 2564, 2069, 281, 513, 9836, 2689, 269, 630, 333, 6155, 4700, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 267, 689, 8940, 8807, 3224, 4536, 514, 3820, 270, 14895, 270, 1015, 269, 24783, 280, 11721, 337, 341, 597, 269, 1708, 272, 269, 7597, 273, 9818, 270, 21459, 454, 1626, 269, 3657, 526, 267, 808, 1421, 17578, 836, 13001, 5226, 4883, 267, 808, 1421, 23821, 710, 267, 595, 269, 634, 3461, 13001, 1417, 1229, 2564, 1753, 281, 1686, 267, 3334, 267, 543, 2689, 540, 519, 2963, 269, 630, 333, 6155, 4700, 8158, 5147, 476, 1556, 267, 476, 1708, 274, 267, 689, 593, 4802, 601, 3869, 9884, 13704, 2593, 270, 8742, 270, 11274, 270, 1015, 269, 1911, 273, 270, 916, 329, 269, 22659, 2918, 0, 1103, 519, 5177, 267, 4896, 945, 814, 10960, 16572, 538, 5177, 18822, 2614, 547, 6108, 942, 609, 606, 3662, 786, 917, 602, 789, 616, 2713, 267, 4743, 7919, 2111, 547, 1745, 1928, 267, 4250, 267, 2648, 543, 7772, 269, 634, 1876, 1631, 2369, 2478, 713, 267, 609, 519, 1007, 10960, 28054, 630, 306, 550, 1466, 264, 2920, 476, 1708, 273, 18005, 9301, 2831, 607, 2366, 1304, 7919, 543, 10962, 513, 24194, 540, 10304, 3800, 1519, 10300, 1154, 1034, 2661, 3662, 18666, 267, 7333, 940, 32334, 267, 16356, 27634, 543, 9087, 773, 30230, 267, 607, 1134, 607, 513, 7333, 593, 3552, 3662, 24515, 269, 634, 2920, 849, 5932, 606, 3662, 2366, 1466, 12233, 547, 2327, 602, 519, 2115, 540, 2831, 616, 3144, 883, 2272, 950, 3384, 2229, 3609, 563, 303, 9155, 543, 22769, 281, 19484, 519, 13751, 23721, 540, 10960, 28054, 543, 10466, 454, 763, 2920, 849, 2882, 14074, 11341, 547, 519, 5329, 540, 6870, 2831, 543, 2306, 621, 606, 1055, 775, 547, 17982, 1022, 6219, 602, 949, 581, 6757, 610, 3614, 21874, 547, 513, 6870, 3662, 1141, 513, 1268, 3743, 585, 602, 3662, 6487, 621, 568, 2921, 971, 513, 6219, 267, 610, 1131, 917, 602, 621, 1223, 2014, 2800, 269, 898, 568, 849, 606, 1055, 775, 547, 3111, 547, 2061, 1776, 1268, 689, 4929, 11991, 7092, 547, 513, 6870, 3662, 1141, 602, 824, 1268, 814, 1702, 602, 606, 3662, 789, 616, 3743, 585, 568, 693, 1981, 540, 1373, 8914, 539, 563, 4913, 267, 519, 9165, 540, 519, 2920, 568, 711, 607, 3376, 607, 621, 1058, 581, 543, 1058, 581, 6905, 547, 1331, 29068, 267, 607, 3621, 2963, 1631, 6818, 547, 1489, 741, 2366, 1466, 269, 769, 1840, 267, 519, 6554, 1058, 2712, 326, 1836, 2689, 543, 8831, 9086, 7303, 28877, 547, 3484, 2831, 267, 547, 1331, 519, 14226, 540, 15454, 327, 2432, 543, 9640, 585, 14797, 543, 824, 16970, 2853, 269, 0, 24927, 3820, 18124, 568, 606, 2228, 1576, 2966, 547, 6338, 1053, 540, 1022, 2085, 543, 1995, 1377, 547, 519, 9238, 540, 8193, 269, 3414, 513, 3126, 540, 7317, 18862, 543, 3785, 267, 1053, 666, 1451, 875, 547, 1628, 2241, 3756, 267, 27515, 267, 543, 1357, 335, 1137, 269, 1635, 519, 1439, 540, 519, 1576, 267, 789, 786, 723, 2919, 513, 2178, 5748, 538, 8193, 3741, 602, 786, 4196, 873, 1134, 607, 789, 3356, 2417, 883, 519, 5752, 1158, 563, 8368, 2986, 12474, 912, 268, 18124, 6092, 630, 1708, 273, 264, 910, 8943, 3820, 454, 268, 8950, 3163, 26386, 18124, 1923, 8943, 3820, 454, 268, 2776, 22345, 518, 18124, 630, 1708, 273, 264, 910, 8943, 3820, 454, 268, 18124, 6092, 630, 1708, 273, 264, 910, 8943, 3820, 1496, 24038, 28265, 518, 2639, 268, 18124, 6092, 630, 1708, 272, 264, 11621, 454, 268, 8943, 3820, 18124, 6092, 2353, 16497, 12226, 543, 10298, 4429, 268, 18124, 6092, 8382, 6206, 910, 674, 910, 8943, 3820, 17072, 454, 268, 18124, 6092, 910, 8943, 3820, 1496, 11687, 2639, 268, 11483, 13028, 625, 610, 18124, 1576, 585, 476, 278, 628, 3446, 910, 8943, 3820, 4429, 268, 8943, 3820, 910, 18124, 6092, 18500, 18044, 11568, 1923, 13658, 2280, 454, 272, 269, 18124, 6092, 630, 1708, 273, 264, 910, 8943, 3820, 454, 2750, 12304, 6092, 630, 1708, 273, 264, 3267, 6258, 2780, 2257, 676, 3843, 519, 4245, 2630, 693, 707, 1378, 10605, 256, 6258, 547, 1711, 2780, 3292, 267, 1020, 1966, 9010, 1983, 267, 4429, 273, 269, 8950, 3163, 26386, 18124, 1923, 8943, 3820, 454, 10743, 1451, 5752, 2035, 267, 12985, 3206, 267, 543, 1020, 1966, 9010, 1983, 543, 18094, 269, 13966, 519, 1259, 267, 789, 1711, 2780, 3292, 4429, 274, 269, 2776, 22345, 518, 18124, 630, 1708, 273, 264, 910, 8943, 3820, 454, 7093, 22345, 518, 18124, 630, 1708, 273, 1040, 6258, 2780, 2257, 676, 3843, 519, 4245, 2630, 693, 707, 1378, 10605, 256, 6258, 547, 1711, 2780, 3292, 267, 1020, 1966, 9010, 4429, 275, 269, 18124, 6092, 630, 1708, 273, 264, 910, 8943, 3820, 1496, 24038, 28265, 518, 2639, 2750, 12304, 6092, 630, 1708, 273, 1040, 6258, 2780, 2257, 676, 3843, 519, 4245, 2630, 693, 707, 1378, 10605, 256, 6258, 547, 1711, 2780, 3292, 267, 1020, 1966, 9010, 4429, 276, 269, 18124, 6092, 630, 1708, 272, 264, 11621, 454, 8893, 476, 275, 281, 12861, 3203, 609, 8943, 269, 595, 4306, 288, 918, 268, 1321, 8950, 3163, 11621, 630, 1001, 278, 1040, 6673, 910, 27122, 1299, 14691, 563, 277, 269, 8943, 3820, 18124, 6092, 2353, 16497, 12226, 543, 10298, 4429, 13356, 476, 278, 267, 476, 1708, 273, 3267, 8943, 3820, 18124, 6092, 782, 4245, 4267, 543, 3435, 269, 8943, 3820, 18124, 6092, 568, 585, 1565, 547, 946, 1114, 5686, 540, 15971 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1134, 607, 6886, 25289, 267, 11635, 267, 543, 13804, 10901, 267, 1851, 1866, 2336, 3963, 616, 4414, 16639, 13245, 888, 16446, 1522, 711, 581, 519, 1101, 2681, 602, 2501, 547, 2247, 950, 596, 1589, 540, 5388, 267, 855, 596, 12582, 1405, 7340, 873, 538, 707, 2732, 269, 1879, 9236, 8335, 11954, 11350, 18717, 267, 519, 2699, 11350, 14723, 729, 3254, 547, 723, 519, 5207, 1543, 540, 29530, 4211, 541, 582, 2940, 267, 513, 24888, 547, 12192, 589, 267, 799, 568, 1898, 585, 2635, 2960, 269, 570, 1601, 513, 2370, 2699, 538, 707, 19997, 547, 2285, 621, 2681, 267, 8137, 267, 543, 6484, 256, 31334, 454, 2252, 596, 1616, 547, 1039, 12192, 595, 547, 707, 2732, 267, 2119, 8380, 930, 22229, 538, 707, 27046, 22596, 267, 538, 707, 5347, 773, 267, 610, 2047, 883, 707, 5023, 269, 1411, 666, 1205, 936, 476, 1911, 260, 540, 707, 3232, 5227, 1871, 540, 12192, 595, 609, 1175, 835, 7484, 540, 30000, 4195, 22229, 563, 2005, 781, 2182, 547, 10726, 581, 1115, 950, 596, 2811, 3168, 585, 15934, 11656, 5388, 269, 2142, 1115, 2270, 6886, 899, 25289, 267, 13804, 10901, 267, 1912, 6664, 5387, 267, 543, 8000, 9914, 267, 2059, 609, 12192, 589, 543, 29530, 4211, 541, 582, 2940, 267, 513, 24888, 547, 12192, 589, 538, 519, 1560, 269, 8347, 887, 8463, 581, 1115, 609, 6070, 543, 14723, 610, 19184, 532, 873, 6151, 883, 707, 5172, 21364, 3039, 19997, 2336, 763, 25188, 22623, 9440, 568, 16041, 609, 513, 2635, 4543, 540, 15934, 23554, 7530, 661, 543, 595, 267, 2059, 609, 12192, 918, 272, 267, 799, 2337, 1489, 513, 2635, 30057, 1062, 269, 654, 1222, 909, 22623, 9440, 14036, 547, 1283, 513, 29902, 7594, 610, 19184, 930, 538, 707, 5347, 773, 585, 513, 25188, 14736, 547, 3666, 519, 29284, 269, 31334, 454, 763, 18163, 678, 1497, 281, 3657, 14274, 5388, 267, 610, 616, 789, 4829, 286, 2755, 938, 6574, 15806, 949, 2760, 3858, 593, 519, 2626, 267, 835, 3364, 649, 666, 782, 3858, 2390, 568, 741, 1072, 2640, 269, 8751, 10633, 616, 513, 1434, 2707, 540, 12192, 595, 267, 12192, 918, 272, 267, 543, 12192, 645, 280, 630, 528, 23205, 622, 1040, 12192, 595, 568, 606, 15934, 602, 7028, 519, 4761, 1062, 543, 2337, 9243, 1125, 1863, 18119, 538, 519, 1560, 267, 1247, 23205, 622, 568, 1271, 585, 10408, 1648, 2504, 543, 8401, 1062, 1599, 269, 6215, 823, 930, 14274, 1985, 942, 596, 2322, 1927, 513, 26889, 267, 610, 1402, 538, 930, 22269, 14274, 950, 3168, 585, 513, 2635, 15165, 256, 31334, 454, 8867, 2378, 344, 5682, 543, 6399, 454, 763, 2681, 3039, 568, 865, 1303, 342, 1441, 609, 938, 2856, 540, 2635, 1426, 602, 649, 1419, 946, 621, 607, 513, 12990, 585, 1022, 2186, 540, 10448, 269, 1215, 1419, 723, 596, 4862, 2576, 2161, 596, 834, 17647, 547, 3548, 707, 16719, 8119, 4270, 267, 972, 781, 513, 1434, 2601, 585, 621, 256, 5682, 3536, 267, 3226, 21364, 267, 4158, 3039, 5388, 267, 616, 16041, 609, 8324, 267, 6886, 267, 543, 14434, 543, 616, 3622, 1970, 23343, 12929, 543, 1164, 1922, 9200, 269, 634, 772, 2529, 269, 4972, 540, 11982, 15565, 602, 2937, 2021, 3548, 476, 273, 547, 476, 274, 11680, 540, 5388, 829, 1554, 543, 2937, 2367, 3548, 476, 273, 269, 276, 547, 476, 275, 11680, 540, 5388, 829, 1554, 563, 3963, 3657, 5682, 16639, 13245, 888, 13349, 5567, 538, 2635, 16719, 1331, 12192, 589, 630, 553, 29530, 2961, 582, 2940, 1070, 799, 2337, 1489, 2635, 5075, 282, 12192, 595, 267, 799, 7028, 513, 2635, 4761, 1062, 282, 12192, 918, 267, 14434, 267, 25289, 267, 27438, 267, 23205, 622, 267, 11635, 267, 13804, 10901, 267, 543, 8000, 9914, 269, 634, 1164, 15934, 2157, 538, 891, 4158, 3039, 5388, 948, 9243, 1125, 1863, 18119, 538, 519, 1560, 547, 1489, 2949, 1072, 269, 1403, 596, 2811, 3168, 585, 3039, 3536, 547, 1039, 547, 707, 2732, 267, 1413, 1100, 2417, 2336, 2252, 596, 2461, 3168, 547, 1489, 707, 2949, 1072, 267, 835, 1747, 547, 1413, 568, 22156, 256, 3807, 835, 7484, 540, 6151, 22156, 20205, 936, 476, 1911, 260, 540, 519, 3232, 5227, 1871, 540, 12192, 918, 272, 267, 799, 7028, 2635, 16050, 1599, 267, 543, 513, 1434, 2179, 540, 12192, 589, 267, 513, 2960, 1072, 8770, 16804, 280, 267, 476, 1015, 267, 476, 1556, 316, 8347, 4946, 22156, 547, 707, 5347, 773, 585, 513, 9570, 540, 8324, 267, 610, 12990, 22156, 585, 23858, 538, 707, 25235, 610, 32409, 2336, 5194, 4158, 3039, 21364, 10448, 267, 25989, 3568, 8324, 267, 6886, 267, 543, 14434, 269, 1411, 666, 3548, 621, 6151, 610, 11273, 282, 1175, 835, 7484, 540, 11273, 25989, 24502, 513, 627, 25891, 2185, 2053, 519, 3232, 5227, 1871, 540, 12192, 918, 272, 543, 568, 513, 3638, 2707, 540, 12192, 589, 256, 8347, 621, 538, 513, 22872, 25989, 19997, 543, 1039, 930, 13212, 543, 986, 529, 1231, 547, 3666, 621, 609, 29284, 269, 7136, 720, 519, 25989, 1101, 547, 21352, 621, 543, 24390, 930, 540, 519, 15280, 1145, 2336, 289, 758, 669, 1195, 568, 513, 4457, 22648, 609, 6653, 267, 21364, 16719, 267, 1818, 621, 519, 3501, 1039, 2987, 585, 27130, 543, 13489, 1922, 1845, 610, 513, 1796, 17038, 821, 10448, 2427, 8670, 1985, 547, 707, 5172, 3940, 269, 6762, 538, 1585, 8324, 543, 6886, 267, 536, 758, 669, 1195, 8591, 606, 3618, 344, 8137, 547, 8286, 543, 8424, 1134, 609, 7489, 11951, 269, 645, 758, 669, 1195, 2882, 23554, 7530, 589, 267, 595, 267, 918, 267, 543, 23205, 622, 267, 2059, 609, 6886, 25289, 267, 11635, 267, 13804, 10901, 267, 631, 22462, 3150, 267, 543, 8000, 9914, 563, 763, 645, 18847, 7412, 454, 29002, 811, 2030, 2861, 3536, 547, 707, 3232, 2732, 1765, 31860, 4158, 267, 21364, 3039, 5388, 543, 2699, 5613, 543, 5388, 28934, 513, 1434, 1900, 269, 2755, 17705, 593, 741, 1378, 267, 891, 9422, 1379, 17346, 1118, 1390, 1039, 15564, 547, 25235, 267, 3940, 5347, 625, 267, 27130, 267, 13489, 1922, 1845, 267, 543, 10286, 26633, 269, 2422, 519, 1592, 1657, 607, 513, 4358, 1448, 585, 2635, 3039, 543, 2699, 5613, 543, 19787, 596, 1058, 3548, 5781, 269, 1403, 596, 798, 711, 8532, 607, 1454, 540, 891, 14312, 3536, 267, 2015, 4946, 513, 9422, 7110, 547, 707, 3232, 6296, 267, 899, 938, 7186, 17214, 10378, 11638, 12192, 717, 27186, 267, 799, 3640, 538, 23554, 7530, 589, 267, 595, 267, 543, 667, 607, 1134, 607, 2098, 4532, 948, 1489, 519, 4761, 1062, 269, 31334, 454, 31334, 1452, 6898, 723, 711, 1044, 11117, 676, 519, 5253, 543, 10684, 10029, 269, 1452, 2472, 616, 711, 5497, 547, 13209, 267, 1521, 267, 10826, 610, 2061, 1022, 2068, 563, 290, 657, 1889, 674, 267, 623, 20041, 570, 267, 589, 2231, 589, 267, 1696, 620, 269, 4414, 29759, 23531, 543, 4256, 2657, 11588, 5025, 5623, 269, 16639, 269, 476, 1708, 273, 282, 1556, 263, 276, 2567, 277, 4510, 269, 15618, 476, 1708, 273, 5988, 476, 2537, 269, 8222, 281, 1015, 269, 26552, 271, 11721, 797, 338, 8099, 2004, 277, 4510, 4179, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 32508, 270, 14895, 18025, 10157, 279, 3445, 280, 3066, 274, 13045, 26422, 570, 267, 2473, 340, 2098, 267, 18961, 11632, 267, 3967, 525, 631, 267, 2398, 4176, 1177, 12685, 520, 330, 592, 654, 267, 3143, 670, 298, 269, 4165, 9171, 656, 2238, 540, 1114, 11954, 6653, 11350, 18717, 630, 290, 2355, 32337, 3045, 10840, 700, 12175, 808, 5253, 2233, 269, 476, 1220, 278, 3057, 282, 7761, 263, 273, 2567, 306, 7176, 268, 9083, 269, 8222, 281, 476, 1015, 269, 9340, 272, 10768, 269, 11260, 271, 268, 29575, 272, 269, 1220, 277, 269, 16573, 3393, 11859, 269, 20163, 281, 476, 9692, 4817, 279, 7830, 269, 4179, 2517, 335, 889, 4364, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 270, 9692, 4817, 279, 7830, 13045, 6826, 1115, 267, 11273, 267, 23017, 267, 27071, 269, 5253, 10574, 6239, 269, 4179, 2517, 325, 26501, 269, 2522, 30994, 6767, 10993, 11721, 26501, 22190, 11258, 258, 270, 25988, 1673, 564, 5661, 270, 15433, 16409, 14672, 19153, 269, 15618, 4989, 476, 272, 267, 476, 1001, 280, 269, 21700, 4864, 476, 274, 267, 476, 1708, 274, 563, 301, 655, 10045, 645, 309, 267, 1325, 6874, 320, 615, 674, 267, 962, 1662, 514, 589, 267, 1234, 12069, 5652, 594, 267, 962, 1662, 514, 962, 269, 595, 3757, 9440, 281, 11906, 23531, 267, 4165, 9171, 656, 11314, 543, 8177, 593, 5274, 2657, 281, 11137, 269, 631, 26163, 269, 476, 1708, 273, 282, 2767, 263, 276, 2567, 5611, 274, 269, 15618, 476, 1708, 273, 4924, 476, 2537, 269, 8222, 281, 1015, 269, 26552, 271, 8276, 26163, 17734, 276, 1428, 6734, 4179, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 32508, 270, 14895, 18025, 10157, 8660, 272, 12293, 279, 13045, 31890, 661, 297, 267, 14332, 9807, 595, 267, 17578, 537, 5633, 589, 267, 932, 641, 571, 631, 269, 8751, 10633, 281, 1323, 6987, 2400, 5623, 540, 519, 23105, 2657, 28620, 540, 8751, 10633, 543, 11790, 2334, 2052, 18748, 4256, 4980, 10474, 269, 10334, 630, 15368, 601, 1040, 476, 1708, 273, 282, 1556, 263, 273, 2567, 26839, 269, 15618, 476, 1708, 273, 4924, 476, 275, 269, 8222, 281, 1015, 269, 26552, 271, 11486, 5735, 8099, 1708, 4375, 4179, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 32508, 270, 14895, 18025, 10157, 6434, 277, 9032, 275, 276, 13045, 294, 12646, 814, 513, 4110, 538, 4670, 609, 513, 1445, 593, 5496, 8586, 689, 519, 2160, 540, 4993, 267, 13244, 30434, 269, 1261, 21593, 1565, 1007, 1919, 543, 4466, 519, 1655, 267, 1034, 2502, 1259, 547, 5968, 873, 547, 513, 2647, 5304, 269, 24023, 3507, 919, 16134, 538, 1272, 543, 6484, 267, 543, 6499, 547, 1265, 519, 15864, 267, 1100, 3613, 816, 2081, 547, 3251, 2635, 563, 298, 531, 2106, 568, 513, 21362, 1229, 10791, 23790, 9539, 9173, 626, 543, 513, 3163, 1299, 2657, 3447, 1807, 609, 519, 6481, 543, 11660, 18058, 2319, 693, 14997, 822, 924, 269, 4173, 1995, 538, 519, 2361, 540, 6484, 1991, 547, 11836, 14997, 822, 924, 814, 3769, 2146, 543, 1857, 1072, 2069, 267, 2923, 2732, 7497, 267, 543, 4791, 2259, 538, 519, 2127, 540, 2935, 1229, 4189, 267, 3987, 267, 2021, 779, 1072, 267, 543, 2489, 9716, 269, 17833, 2106, 4607, 1200, 25328, 540, 3163, 4110, 538, 12594, 543, 10791, 7497, 689, 14151, 3557, 2160, 538, 27925, 267, 14151, 267, 543, 6192, 1200, 2732, 2045, 24892, 2259, 538, 3057, 545, 30249, 6019, 267, 589, 313, 267, 609, 606, 8561, 593, 1857, 1072, 269, 17833, 2106, 568, 14468, 538, 6715, 13577, 543, 23398, 12594, 998, 519, 9142, 540, 12594, 543, 10791, 7497, 267, 1141, 1352, 568, 606, 3742, 4759, 538, 1840, 547, 2818, 4721, 538, 10791, 527, 2103, 538, 23398, 6925, 267, 6468, 779, 2657, 10791, 527, 2103, 267, 543, 519, 4139, 18966, 540, 14856, 13081, 10791, 527, 2103, 269, 0, 8340, 2659, 17828, 3427, 454, 299, 28515, 8551, 568, 513, 3376, 2361, 540, 1353, 602, 13408, 519, 6575, 267, 23408, 267, 543, 9443, 269, 898, 568, 519, 1353, 540, 8106, 5396, 602, 2488, 3407, 4030, 883, 519, 1480, 2783, 563, 1103, 2413, 12621, 543, 9945, 267, 12666, 6575, 568, 519, 1353, 540, 1686, 267, 1893, 267, 3332, 267, 6128, 267, 6138, 267, 543, 9443, 269, 898, 27875, 6267, 547, 1585, 4610, 267, 8600, 543, 16779, 873, 547, 5659, 2152, 267, 1020, 513, 2631, 540, 1514, 5539, 267, 543, 1589, 9691, 269, 3414, 27565, 8551, 267, 1053, 786, 1831, 811, 1134, 25454, 2043, 602, 3082, 547, 1689, 543, 4763, 3362, 563, 10743, 602, 18934, 538, 25328, 779, 538, 27565, 8551, 2228, 3292, 1020, 3810, 4483, 762, 1983, 602, 1034, 12820, 1413, 585, 538, 10457, 269, 1452, 1331, 2792, 267, 2565, 3206, 267, 10763, 267, 543, 22423, 1983, 267, 799, 786, 16491, 896, 6588, 706, 919, 585, 519, 2413, 9036, 563, 288, 20277, 779, 4110, 538, 27565, 8551, 22316, 1053, 585, 513, 2647, 2039, 540, 11678, 267, 689, 10229, 547, 1514, 960, 269, 898, 568, 606, 5140, 4110, 602, 786, 1020, 1004, 779, 13916, 267, 799, 568, 3833, 2629, 950, 10188, 1082, 1296, 540, 3318, 1272, 563, 2690, 3606, 1344, 267, 1294, 713, 281, 7454, 25328, 779, 538, 27565, 8551, 543, 28299, 5516, 619, 454, 2304, 2228, 25328, 779, 538, 27565, 8551, 786, 5965, 1053, 547, 10994, 1950, 267, 3818, 1922, 14239, 2591, 538, 5718, 267, 3850, 873, 547, 7639, 10593, 538, 519, 2816, 2344, 543, 4383, 2066, 1585, 6198, 2127, 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 ]
[ 1448, 593, 1268, 4356, 538, 1353, 593, 15730, 14920, 814, 8694, 538, 11658, 4656, 547, 7293, 10898, 538, 7820, 1004, 779, 2729, 267, 1927, 609, 519, 1198, 540, 10168, 267, 6710, 267, 543, 11776, 267, 543, 519, 1259, 1346, 5656, 1106, 519, 4434, 540, 19920, 630, 293, 710, 1299, 15966, 548, 961, 663, 267, 476, 1220, 277, 1040, 769, 476, 1220, 277, 267, 8799, 543, 15966, 548, 961, 663, 4547, 519, 942, 1974, 968, 628, 1157, 6999, 892, 609, 513, 2070, 547, 15972, 519, 2797, 267, 1514, 267, 543, 22993, 2609, 540, 15730, 14920, 6454, 269, 769, 563, 332, 698, 8872, 540, 519, 12054, 7821, 540, 9086, 267, 24369, 267, 476, 21497, 1700, 26237, 269, 589, 652, 12060, 589, 652, 12060, 570, 821, 10162, 12245, 2382, 26623, 585, 623, 1910, 330, 860, 328, 267, 918, 21417, 17754, 6409, 333, 10713, 527, 564, 267, 918, 21417, 17754, 6409, 333, 267, 16862, 4417, 589, 652, 12060, 568, 3921, 27274, 513, 10952, 1641, 267, 1256, 1139, 3151, 1336, 538, 513, 12790, 2203, 3330, 6530, 1317, 519, 8545, 5828, 606, 3872, 1582, 16162, 23002, 269, 898, 13408, 5318, 18759, 593, 10367, 543, 4898, 269, 2290, 4640, 267, 585, 1383, 267, 5380, 2090, 540, 519, 1362, 344, 607, 32055, 5686, 540, 2495, 6194, 267, 13031, 5359, 269, 0, 293, 3306, 1216, 568, 938, 1034, 10475, 4199, 543, 621, 11225, 519, 3892, 540, 1272, 593, 2244, 269, 7427, 519, 16350, 540, 8933, 689, 741, 7823, 2959, 547, 519, 4262, 269, 13772, 20498, 1216, 17517, 267, 8038, 3330, 519, 9835, 24258, 543, 2263, 519, 7320, 2630, 519, 4672, 538, 519, 1158, 781, 27811, 10720, 269, 654, 5893, 2189, 543, 10565, 8090, 540, 3662, 7180, 281, 513, 1397, 6658, 1063, 5347, 18396, 730, 17333, 1562, 543, 544, 10212, 518, 25438, 3796, 282, 2620, 1673, 1516, 1279, 2766, 539, 5672, 320, 13196, 282, 7372, 1166, 4169, 540, 6777, 2520, 3150, 593, 519, 13617, 543, 513, 19266, 534, 3873, 535, 1066, 5414, 538, 519, 829, 559, 748, 7297, 540, 519, 1158, 781, 4102, 26868, 563, 18404, 18982, 2670, 4667, 899, 519, 10700, 12105, 9059, 8945, 910, 519, 5863, 7004, 540, 835, 13442, 883, 513, 11207, 1114, 1373, 281, 835, 1272, 267, 1079, 4703, 269, 3245, 29191, 573, 547, 918, 2378, 6390, 547, 2473, 5336, 523, 267, 8941, 540, 23009, 2670, 3638, 569, 15449, 622, 1480, 2528, 269, 634, 7242, 540, 7004, 568, 865, 1455, 602, 621, 4667, 3592, 840, 3491, 13559, 4364, 883, 938, 9345, 269, 1809, 568, 519, 3621, 1249, 540, 23009, 2670, 1175, 607, 9490, 607, 5708, 610, 1862, 1256, 24928, 286, 8606, 7825, 6033, 6424, 5689, 821, 7710, 519, 2257, 3297, 23009, 2670, 269, 1215, 1281, 621, 4755, 543, 1946, 286, 1656, 1522, 621, 1256, 267, 538, 930, 1259, 267, 4755, 547, 721, 888, 6795, 332, 3040, 476, 1001, 274, 454, 2419, 5142, 543, 26795, 3605, 799, 540, 938, 28562, 10987, 723, 15068, 936, 519, 544, 1749, 28026, 3018, 910, 513, 535, 1066, 2045, 22060, 543, 14947, 11018, 1974, 910, 543, 952, 789, 723, 6394, 2614, 1426, 693, 713, 2565, 942, 547, 1294, 873, 998, 519, 5162, 269, 2060, 519, 948, 540, 4515, 14088, 19134, 789, 786, 849, 2263, 519, 15596, 781, 26526, 14686, 20282, 9161, 543, 1413, 693, 875, 10987, 666, 948, 721, 1199, 1227, 543, 875, 649, 666, 948, 873, 563, 6812, 332, 3040, 476, 1001, 275, 3040, 670, 633, 1325, 633, 454, 763, 1650, 540, 2831, 17005, 835, 540, 519, 554, 1513, 4554, 12119, 2242, 593, 519, 4541, 5170, 269, 1306, 5162, 7140, 547, 5614, 267, 5210, 4473, 543, 31803, 28377, 883, 1272, 269, 2142, 28316, 21649, 593, 1007, 3039, 22534, 267, 4816, 536, 2581, 1491, 741, 1101, 23881, 18146, 3268, 543, 17680, 3960, 569, 7703, 7750, 338, 10836, 689, 16437, 547, 2263, 713, 1007, 3039, 1158, 269, 1809, 5614, 568, 849, 513, 829, 559, 748, 942, 269, 654, 11510, 616, 8288, 8175, 982, 8912, 1310, 28489, 5162, 4584, 902, 269, 1656, 8375, 5210, 15835, 519, 5318, 7823, 6777, 3640, 267, 11488, 513, 2929, 9748, 540, 1216, 14700, 883, 519, 8933, 269, 8307, 519, 27162, 4554, 786, 7639, 563, 6812, 332, 3040, 476, 1001, 277, 3040, 31803, 281, 8187, 652, 15604, 547, 2349, 5074, 14400, 454, 763, 1482, 26747, 799, 6707, 9676, 519, 1158, 779, 1101, 3001, 2592, 540, 513, 9649, 2695, 573, 538, 922, 2067, 7226, 568, 1031, 585, 3695, 519, 2620, 4262, 30917, 1055, 519, 5032, 540, 1715, 19892, 269, 634, 2319, 13341, 3020, 2713, 8093, 2249, 835, 1310, 1776, 269, 15012, 713, 3078, 2620, 4262, 7045, 2336, 6812, 332, 3040, 476, 1001, 277, 3040, 12213, 7909, 454, 22152, 320, 781, 5032, 338, 941, 4646, 676, 519, 2736, 5346, 540, 717, 1180, 9774, 531, 663, 476, 1911, 2929, 1296, 3516, 269, 1358, 5581, 519, 5432, 3337, 540, 713, 2027, 11782, 267, 543, 5905, 593, 513, 3099, 540, 5054, 1519, 24301, 267, 10239, 267, 7733, 267, 19126, 543, 5260, 20087, 338, 269, 8187, 4000, 3217, 721, 1394, 538, 942, 547, 7198, 519, 4332, 540, 4000, 543, 849, 11438, 721, 593, 513, 20498, 3460, 1472, 519, 6316, 540, 519, 11782, 563, 5392, 332, 3040, 476, 1220, 272, 3040, 8187, 4000, 0, 3528, 25840, 22859, 714, 454, 32743, 5090, 5828, 835, 540, 1082, 1883, 6698, 540, 17044, 4187, 547, 3339, 30473, 2429, 519, 5053, 6406, 6370, 1739, 519, 2817, 1235, 262, 5821, 547, 1491, 519, 4884, 1369, 519, 530, 842, 787, 4365, 540, 476, 4350, 277, 268, 278, 269, 855, 7488, 540, 519, 1219, 5050, 1835, 625, 540, 1412, 5591, 32488, 541, 17505, 3299, 789, 1705, 6368, 979, 593, 476, 2764, 4728, 476, 4350, 280, 269, 901, 8313, 12116, 519, 2164, 538, 28925, 540, 30473, 781, 14955, 6463, 11802, 1369, 519, 5053, 6406, 6370, 269, 9001, 25015, 593, 1688, 31150, 5958, 267, 713, 1451, 15225, 875, 519, 10751, 540, 519, 8709, 638, 1639, 729, 2899, 538, 3210, 547, 513, 24271, 559, 612, 20451, 910, 25743, 267, 1100, 3476, 519, 7952, 30280, 540, 5147, 476, 4350, 277, 267, 723, 1044, 4371, 18177, 585, 519, 9992, 6222, 10537, 32692, 269, 7952, 5513, 684, 1023, 5293, 856, 5220, 585, 519, 6760, 540, 1412, 332, 26090, 18326, 262, 282, 6071, 1780, 2032, 538, 519, 4287, 540, 519, 2817, 1235, 4505, 982, 476, 4350, 280, 1031, 547, 581, 711, 1175, 1500, 513, 3540, 1055, 775, 1447, 982, 519, 9777, 725, 540, 11572, 11645, 2943, 949, 2014, 14962, 531, 689, 10367, 282, 543, 1954, 655, 3517, 543, 4004, 1235, 267, 538, 1880, 30199, 585, 519, 6406, 4655, 267, 723, 1044, 7803, 1242, 998, 31885, 538, 4728, 476, 3707, 271, 563, 9188, 3145, 519, 1249, 602, 267, 6587, 547, 513, 2603, 602, 814, 1044, 2854, 693, 519, 1888, 267, 519, 2022, 21351, 30473, 626, 1065, 1833, 1031, 547, 581, 1100, 3476, 608, 32558, 2218, 269, 2637, 17462, 4769, 1405, 2049, 538, 2022, 21351, 28925, 269, 6466, 693, 2547, 476, 25313, 274, 16324, 4291, 1903, 3357, 827, 1851, 476, 4350, 280, 543, 476, 3707, 275, 267, 2530, 540, 1272, 5220, 723, 1044, 21246, 958, 538, 13076, 609, 25197, 725, 540, 7589, 538, 1412, 29188, 10963, 262, 602, 5949, 538, 28925, 538, 476, 4350, 277, 269, 538, 1840, 267, 543, 538, 4334, 547, 971, 513, 2603, 1114, 12014, 540, 519, 30473, 626, 2797, 5208, 267, 713, 552, 26247, 568, 14126, 609, 519, 13214, 540, 1247, 543, 1946, 2527, 1065, 1833, 3893, 1934, 547, 606, 9096, 269, 898, 6920, 602, 519, 22406, 2338, 540, 3871, 8118, 10353, 547, 17044, 1412, 516, 321, 1564, 3299, 543, 1210, 4359, 840, 21351, 17531, 29386, 2994, 547, 1935, 873, 267, 3812, 513, 844, 663, 776, 602, 1031, 547, 581, 538, 2241, 2474, 17251, 3842, 9794, 906, 3144, 998, 519, 30473, 12512, 538, 476, 3707, 271, 268, 272, 547, 9390, 513, 2603, 540, 519, 1065, 4809, 5650, 269, 676, 1797, 540, 476, 3707, 275, 267, 2527, 1065, 1833, 1185, 2097, 547, 606, 1439, 563, 5649, 6732, 610, 8281, 30473, 781, 10456, 281, 3115, 1833, 538, 28925, 1310, 519, 5053, 6406, 2782, 630, 23682, 5112, 8466, 3933, 21106, 264, 7300, 454, 13436, 2342, 2835, 454, 299, 2465, 781, 552, 26247, 3217, 606, 10763, 1505, 540, 3833, 513, 1297, 4798, 538, 2038, 17953, 344, 552, 340, 6561, 267, 689, 519, 11193, 547, 519, 3943, 7169, 267, 27109, 3833, 513, 1906, 2645, 602, 949, 581, 1031, 547, 1683, 513, 1641, 2339, 610, 4661, 538, 606, 1557, 610, 6514, 563, 257, 2026, 621, 781, 267, 519, 8313, 568, 7533, 282, 621, 814, 267, 6157, 267, 1100, 4049, 2296, 15180, 269, 834, 2443, 8320, 16520, 9148, 269, 11730, 594, 540, 606, 22265, 1079, 31891, 1305, 602, 6227, 519, 29476, 540, 12980, 543, 3568, 1142, 19506, 5647, 543, 1169, 4105, 3313, 269, 901, 7274, 2318, 3344, 24526, 27964, 593, 21482, 573, 267, 7442, 3326, 517, 3780, 267, 543, 1866, 563, 763, 476, 277, 628, 7274, 540, 519, 2487, 11062, 19744, 6561, 20476, 1622, 606, 22265, 10282, 540, 519, 1292, 1641, 6927, 538, 552, 340, 2185, 18818, 10601, 6561, 267, 2854, 998, 2101, 3703, 267, 18626, 543, 1977, 1053, 269, 898, 3091, 513, 2647, 8573, 4474, 2272, 540, 513, 8884, 540, 1713, 1514, 267, 2797, 543, 2686, 23396, 267, 5309, 9822, 730, 676, 1797, 540, 519, 1655, 6093, 31685, 9952, 676, 1797, 540, 18495, 267, 519, 4563, 2530, 540, 1272, 563, 15761, 571, 2200, 585, 30473, 781, 10456, 281, 3115, 1833, 538, 28925, 1310, 519, 5053, 6406, 2782, 630, 23682, 5112, 8466, 3933, 21106, 994, 268, 8281, 661, 268, 9248, 17402, 543, 2107, 1275, 538, 20640, 7570, 31588, 1722, 9721, 14576, 630, 22437, 4479, 543, 14576, 538, 519, 6520, 540, 7169, 264, 7300, 454, 268, 8281, 661, 268, 9248, 5808, 779, 5808, 538, 30551, 11061, 281, 2342, 7300, 0, 288, 31210, 2030, 6738, 585, 922, 8821, 2421, 3597, 630, 9071, 714, 727, 610, 11895, 6565, 1040, 634, 3597, 814, 16009, 2960, 267, 32334, 547, 12779, 3039, 17145, 267, 543, 513, 890, 653, 2044, 267, 5594, 6653, 8137, 269, 717, 5424, 568, 12630, 538, 4864, 610, 5181, 1210, 519, 3105, 1032, 779, 7693, 269, 717, 5424, 3217, 827, 8370, 3275, 547, 3914, 15657, 269, 2991, 519, 5810, 2408, 267, 519, 25568, 2253, 547, 5884, 267, 6028, 519, 20909, 29127, 2345, 4712, 547, 7556, 717, 5424, 568, 513, 1292, 560, 599, 540, 7489, 543, 4095, 5986, 543, 568, 1031, 1989, 730, 267, 2666, 543, 1793, 9121, 269, 717, 5424, 10433, 568, 519, 10433, 540, 519, 3597, 269, 15443, 1221, 610, 16358, 1242, 20909, 568, 20909, 11273, 538, 513, 4006, 21360, 267, 1247, 12873, 20909, 568, 538, 513, 4006, 1606, 5306, 7848, 281, 1312, 540, 891, 616, 1031, 5097, 585, 26265, 543, 28916, 269, 17292, 1194, 20909, 267, 1031, 607, 513, 31370, 18274, 518, 609, 521, 25775, 267, 568, 20909, 12873, 538, 6653, 16693, 269, 0, 19859, 5113, 4427, 338, 14571, 3590, 630, 300, 9950, 2529, 2529, 8094, 5978, 3885, 3119, 7031, 22478, 454, 22416, 684, 1375, 599, 910, 631, 1681, 320, 744, 548, 325, 4673, 269, 630, 295, 832, 518, 611, 880, 3529, 264, 27817, 2523, 1164, 538, 20962, 584, 7135, 630, 3133, 334, 7408, 8715, 542, 710, 1299, 28144, 710, 264, 1419, 538, 2110, 3761, 267, 543, 7508, 689, 586, 600, 30676, 563, 8110, 18470, 269, 10540, 338, 476, 14093, 1608, 267, 476, 1556, 3940, 267, 476, 1626, 269, 279, 16087, 962, 1752, 829, 476, 1911, 13483, 269, 10264, 269, 21496, 2504, 476, 1220, 7273, 269, 610, 1547, 4649, 18470, 269, 829, 1554, 267, 19663, 7683, 621, 1131, 1491, 476, 20542, 271, 13483, 269, 10264, 269, 547, 3049, 513, 1268, 267, 945, 1131, 723, 547, 3548, 476, 1704, 18470, 269, 829, 1554, 563, 8110, 18470, 269, 3762, 476, 275, 1240, 1608, 267, 476, 1789, 3940, 267, 476, 8618, 16087, 962, 1752, 829, 476, 1911, 13483, 269, 10264, 269, 21496, 2504, 476, 25090, 331, 2125, 269, 610, 1547, 6858, 18470, 269, 829, 1554, 267, 19663, 7683, 621, 1131, 1491, 476, 278, 1428, 13483, 269, 10264, 269, 547, 3049, 513, 1268, 267, 945, 1131, 723, 547, 3548, 476, 275, 269, 279, 18470, 269, 829, 1554, 269, 11576, 1438, 547, 1216, 8421, 3101, 1299, 2165, 842, 525, 269, 631, 10422, 614, 326, 657, 704, 2742, 814, 3677, 4734, 553, 269, 631, 2529, 1084, 641, 564, 8403, 689, 3127, 3362, 8697, 676, 4411, 269, 2549, 335, 3315, 320, 910, 645, 7867, 9253, 517, 3131, 18470, 269, 5283, 976, 476, 11011, 269, 277, 1608, 267, 476, 275, 3940, 267, 476, 1240, 269, 274, 575, 16087, 269, 962, 1752, 829, 476, 1911 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8314, 8266, 267, 11133, 8170, 10870, 1231, 268, 272, 267, 26920, 2020, 825, 2132, 1331, 1341, 23868, 19638, 8314, 8266, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 11133, 8170, 10870, 1231, 815, 7003, 263, 8314, 8266, 994, 26920, 815, 476, 275, 454, 2745, 263, 8314, 27087, 263, 8314, 8266, 267, 1003, 8170, 10870, 1231, 268, 272, 267, 2179, 4297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8469, 658, 7843, 1602, 531, 16323, 454, 8310, 21213, 281, 4864, 476, 736, 267, 476, 1708, 271, 454, 15477, 297, 4488, 20937, 281, 1677, 4766, 519, 10551, 14169, 540, 519, 18751, 267, 1647, 267, 543, 17911, 13980, 540, 519, 31443, 13796, 3148, 543, 547, 1459, 606, 20133, 5669, 2861, 8760, 540, 519, 4485, 547, 713, 1858, 563, 300, 24518, 7495, 306, 281, 26062, 6101, 514, 1922, 12089, 267, 2937, 524, 3385, 591, 545, 15013, 941, 6594, 269, 14210, 12058, 3177, 7403, 547, 5635, 1114, 10551, 2994, 269, 22604, 941, 7152, 1210, 476, 1015, 13339, 2987, 915, 539, 524, 3385, 591, 545, 9843, 269, 13880, 673, 2665, 941, 1031, 547, 9414, 519, 2164, 676, 519, 1114, 4485, 269, 3690, 2091, 3515, 693, 519, 1377, 540, 519, 17071, 32711, 18042, 1448, 543, 22712, 3419, 655, 1400, 6676, 941, 1031, 547, 7941, 519, 31443, 13796, 3148, 883, 18751, 267, 1647, 267, 543, 17911, 13980, 269, 13880, 673, 4485, 547, 519, 31443, 13796, 3148, 941, 9286, 883, 2185, 2516, 281, 9120, 267, 14694, 267, 21828, 267, 543, 31443, 267, 1759, 593, 519, 2627, 540, 519, 27914, 998, 799, 519, 1935, 729, 9859, 269, 634, 4485, 998, 519, 31443, 1895, 941, 1016, 323, 22866, 2417, 883, 606, 18751, 1935, 267, 519, 1098, 1910, 331, 341, 1014, 10489, 529, 4156, 1935, 267, 543, 1079, 17911, 4485, 267, 519, 1624, 760, 1388, 954, 1335, 7371, 8879, 543, 24101, 15869, 516, 10428, 541, 17464, 560, 550, 3645, 4485, 563, 305, 2464, 8085, 4811, 281, 634, 18751, 6712, 540, 519, 31443, 13796, 3148, 666, 581, 6603, 998, 519, 9120, 267, 14694, 267, 543, 21828, 7252, 540, 519, 27914, 543, 519, 18751, 14583, 540, 519, 1935, 998, 519, 31443, 2627, 269, 634, 17911, 1895, 540, 4485, 9859, 998, 519, 31443, 2627, 616, 3730, 585, 15087, 4092, 538, 519, 17911, 6712, 269, 634, 1647, 851, 540, 519, 31443, 13796, 3148, 568, 519, 1034, 4101, 1858, 547, 16616, 267, 1141, 519, 1935, 1590, 581, 3358, 2687, 547, 519, 2470, 540, 519, 27295, 543, 922, 10137, 547, 824, 31443, 13796, 2127, 563, 25321, 12710, 4785, 12778, 281, 3962, 1935, 547, 31443, 13796, 15087, 814, 2930, 610, 6198, 19363, 602, 1058, 581, 2808, 950, 8939, 513, 10551, 2126, 585, 513, 2016, 3461, 269, 29435, 532, 519, 31443, 13796, 3148, 883, 4130, 2127, 2636, 585, 513, 811, 5730, 2079, 267, 711, 1152, 540, 519, 4397, 20133, 5669, 3347, 267, 855, 849, 540, 519, 2009, 5079, 585, 519, 2922, 1191, 794, 540, 519, 27295, 269, 634, 1062, 26494, 1031, 1934, 849, 2488, 519, 4493, 585, 5542, 540, 513, 4999, 540, 4485, 563, 763, 31443, 13796, 3148, 568, 519, 3135, 540, 519, 1034, 1950, 9729, 673, 14169, 269, 898, 568, 6456, 2620, 1369, 519, 14230, 540, 519, 13796, 27914, 543, 5887, 14152, 1062, 538, 519, 14345, 540, 519, 21828, 28250, 3179, 543, 568, 11303, 676, 15466, 543, 8849, 2609, 602, 267, 8259, 2838, 585, 2126, 267, 1590, 581, 12873, 1282, 6391, 269, 29922, 543, 11264, 513, 10551, 1935, 547, 519, 31443, 13796, 3148, 3788, 513, 4161, 1317, 540, 713, 20133, 5669, 6988, 543, 2620, 4087, 269, 1703, 616, 1082, 4930, 2519, 593, 519, 14169, 267, 17550, 267, 543, 10551, 4485, 547, 519, 31443, 13796, 3148, 630, 272, 267, 476, 273, 267, 476, 275, 267, 476, 278, 1700, 1556, 267, 476, 1724, 1700, 2764, 267, 476, 1789, 267, 476, 3451, 267, 476, 4097, 267, 476, 3607, 1700, 4343, 267, 476, 2412, 1700, 5655, 267, 476, 3393, 1700, 4366, 267, 476, 7367, 267, 476, 7871, 1040, 901, 1353, 1185, 1614, 3853, 281, 547, 4983, 519, 10551, 4485, 547, 519, 1858, 267, 547, 7941, 519, 4485, 883, 2516, 1759, 593, 741, 20133, 5669, 4162, 267, 543, 547, 2689, 519, 5383, 543, 11393, 540, 519, 4485, 538, 6935, 547, 519, 851, 540, 519, 31443, 13796, 3148, 547, 581, 15600, 563, 21316, 2207, 24361, 306, 6730, 631, 24518, 7495, 306, 454, 307, 523, 2937, 267, 6101, 514, 1922, 12089, 267, 524, 3385, 591, 545, 9843, 543, 476, 1015, 12058, 941, 6594, 269, 4856, 4689, 11912, 267, 693, 519, 1377, 540, 519, 30085, 540, 4608, 639, 543, 17071, 32711, 18042, 1448, 267, 941, 5340, 538, 519, 476, 1015, 12058, 543, 9883, 1063, 519, 13796, 27914, 2627, 543, 13796, 18057, 538, 1142, 1935, 941, 6027, 269, 14210, 13339, 2987, 915, 539, 9843, 267, 26819, 539, 1210, 519, 3172, 2305, 540, 519, 10551, 17209, 630, 9943, 274, 1700, 2412, 282, 14161, 14858, 1170, 267, 5549, 1421, 774, 1941, 6229, 267, 12924, 1070, 941, 1031, 547, 6542, 519, 10551, 4485, 269, 11916, 1806, 540, 5697, 4485, 616, 4843, 563, 763, 10551, 4485, 547, 519, 31443, 13796, 3148, 267, 1759, 593, 519, 13796, 2627, 267, 998, 799, 519, 1935, 568, 9859, 267, 616, 5258, 883, 2185, 2516, 281, 9120, 267, 14694, 267, 21828, 267, 543, 31443, 269, 634, 9120, 1895, 2882, 1152, 519, 1098, 1910, 331, 341, 1014, 20675, 1231, 983, 1935, 269, 634, 14694, 1895, 2882, 519, 4485, 998, 519, 521, 592, 857, 543, 14934, 686, 593, 519, 14694, 2627, 540, 519, 13796, 27914, 543, 18751, 13796, 10981, 26618, 609, 993, 17789, 30445, 2129, 2089, 665, 600, 1051, 3912, 269, 634, 21828, 1895, 568, 16922, 540, 519, 1935, 998, 519, 1624, 760, 527, 582, 32294, 267, 32097, 267, 610, 11002, 1400, 521, 592, 857, 610, 998, 519, 535, 639, 6134, 543, 1612, 1695, 2089, 665, 2086, 531, 14934, 686, 269, 634, 31443, 1895, 568, 1016, 323, 22866, 538, 606, 18751, 14583, 267, 519, 1098, 1910, 331, 341, 1014, 10489, 529, 4156, 1935, 267, 543, 17911, 14726, 267, 519, 1624, 760, 17010, 954, 1335, 7371, 8879, 543, 24101, 15869, 516, 10428, 541, 17464, 560, 550, 3645, 4485, 563, 763, 13796, 27914, 568, 4092, 593, 519, 2539, 851, 540, 519, 21571, 543, 26520, 593, 519, 6989, 540, 519, 1647, 6522, 320, 543, 519, 17895, 528, 1756, 630, 8993, 269, 476, 272, 1040, 634, 14694, 2627, 540, 519, 13796, 27914, 3029, 519, 2539, 6712, 540, 519, 14694, 23756, 640, 269, 898, 18795, 31443, 547, 519, 13796, 6522, 320, 267, 519, 3135, 540, 519, 13796, 529, 4887, 267, 543, 2630, 519, 9120, 13796, 1899, 2059, 799, 519, 4887, 1140, 2851, 269, 2353, 540, 519, 1647, 543, 18751, 2694, 540, 519, 14694, 2627, 1694, 1369, 519, 1858, 13890, 676, 519, 2695, 32115, 531, 521, 1956, 267, 2620, 547, 519, 2695, 32115, 531, 851, 540, 519, 13796, 5642, 267, 855, 922, 17911, 851, 11498, 1394, 3564, 519, 2695, 32115, 531, 851, 540, 519, 13796, 5642, 883, 519, 1858, 2620, 547, 519, 533, 926, 13926, 5642, 630, 8993, 269, 476, 272, 288, 1040, 634, 13796, 18057, 568, 17479, 5111, 476, 273, 4699, 1657, 519, 1990, 17789, 11703, 2895, 267, 2620, 547, 519, 2695, 32115, 531, 851, 540, 519, 13796, 5642, 543, 519, 1647, 13796, 14934, 6350, 269, 634, 18505, 565, 8632, 8473, 540, 519, 13796, 27914, 267, 799, 7436, 519, 5912, 1063, 519, 14694, 543, 21828, 7252, 267, 568, 17479, 693, 519, 1377, 540, 519, 9120, 8473, 540, 519, 1990, 17789, 11703, 2895, 543, 24101, 1090, 770, 1355, 30160, 630, 8993, 269, 476, 272, 267, 589, 543, 645, 1040, 634, 3337, 540, 519, 6989, 540, 519, 1647, 6522, 320, 2242, 689, 1373, 513, 22635, 11057, 6677, 822, 640, 18751, 569, 547, 6366, 609, 513, 16795, 9120, 31007, 689, 14694, 547, 31443, 538, 922, 17911, 6712, 269, 634, 2990, 540, 519, 18751, 9133, 540, 519, 13796, 18057, 267, 607, 9763, 998, 519, 21828, 2627, 267, 4114, 23660, 513, 1351, 4689, 1899, 602, 10596, 693, 519, 1377, 540, 519, 585, 29546, 9065, 1446, 2663, 958, 543, 519, 13675, 540, 519, 522, 1529, 558, 19318, 8229, 883, 519, 8122, 540, 519, 1309, 591, 333, 748, 18980, 1199, 6053, 269, 634, 6677, 822, 640, 540, 519, 1647, 6522, 320, 8591, 547, 519, 7411, 538, 20392, 519, 21828, 2627, 540, 519, 13796, 27914, 543, 267, 952, 711, 7307, 14013, 267, 949, 1267, 538, 1427, 3555, 7063, 547, 519, 27914, 563, 307, 32294, 700, 12786, 22845, 454, 763, 13796, 27914, 568, 9674, 689, 519, 28882, 27914, 676, 519, 6565, 543, 17911, 15155, 639, 540, 519, 861, 331, 341, 1014, 535, 1170, 675, 282, 689, 519, 533, 926, 13926, 27914, 676, 519, 17911, 15155, 639, 540, 519, 861, 331, 341, 1014, 535, 1170, 675, 543, 519, 6905, 861, 331, 341, 1014, 1899, 267, 799, 11498, 23651, 2059, 519, 1279, 7852, 540, 519, 861, 331, 341, 1014, 535, 1170, 675, 282, 689, 519, 1624, 760, 1388, 27914, 2663, 958, 676, 519, 17071, 851, 540, 519, 14694, 533, 926, 564, 582, 32294, 1899, 267, 799, 8255, 689, 519, 12705, 540, 519, 533, 926, 16587, 268, 11484, 760, 1388, 521, 592, 322, 639, 593, 519, 14694, 2627, 547, 519, 840, 11484, 760, 1388, 711, 577, 267, 543, 593, 519, 2539, 2627, 676, 519, 21828, 533, 926, 564, 582, 32294, 1899, 267, 799, 11498, 689, 519, 22882, 540, 519, 1608, 8364, 710, 543, 533, 926, 16587, 268, 11484, 760, 1388, 521, 592, 322, 639, 547, 519, 840, 11484, 760, 1388, 711, 577, 282, 543, 689, 1202, 3121, 676, 519, 17071, 6712, 540, 519, 12145, 521, 592, 322, 639, 540, 519, 1202, 3121, 630, 8993, 269, 476, 273, 1040, 634, 13796, 27914, 814, 2185, 7252, 281, 31443, 267, 9120, 267, 14694, 267, 543, 21828, 267, 1142, 540, 799, 568, 519, 3135, 540, 835, 540, 835, 610, 811, 4485, 547, 519, 31443, 13796, 3148, 269, 634, 2185, 7252, 2743, 18751, 569, 693, 519, 17031, 13796, 15393, 563, 763, 31443, 2627, 540, 519, 13796, 27914, 568, 519, 1034, 1950, 9729, 673, 1858, 630, 8993, 338, 269, 476, 273, 1700, 275, 264, 630, 1321, 1040, 898, 568, 4646, 15866, 676, 519, 17031, 31443, 7252, 540, 519, 1612, 1695, 2089, 665, 2086, 531, 14934, 6350, 543, 4608, 639, 543, 568, 3908, 2663, 958, 676, 519, 32097, 543, 11002, 1400, 521, 592, 857, 269, 634, 31443, 2627, 568, 7768, 540, 1614, 19976, 17446, 540, 8849, 5160, 267, 835, 4092, 1657, 519, 824, 267, 799, 616, 954, 6674, 539, 609, 519, 28481, 2086, 531, 5250, 543, 993, 17789, 323, 8403, 269, 634, 1034, 17071, 14816, 568, 4646, 676, 519, 17031, 31443, 6316, 540, 519, 1612, 1695, 2089, 665, 2086, 531, 14934, 6350, 267, 519, 3135, 540, 519, 1016, 7781, 10851, 282, 519, 1647, 14816, 568, 4646, 676, 519, 7202, 622, 14934, 6350, 267, 513, 7522, 1583, 3603, 14816, 540, 12457, 2339, 4092, 593, 519, 31443, 2627, 540, 519, 28481, 2086, 531, 5250, 282, 543, 519, 9120, 14816, 568, 4646, 676, 519, 535, 12494, 6319, 540, 519, 585, 333, 1460, 267, 513, 3043, 6512, 4646, 676, 519, 11103, 32338, 908, 689, 519, 28481, 2086, 531, 5250, 543, 9859, 17911, 569, 883, 519, 5880, 540, 519, 585, 333, 1460, 269, 634, 1612, 1695, 2089, 665, 2086, 531, 543, 7202, 622, 14934, 686, 616, 9674, 676, 519, 28481, 2086, 531, 521, 592, 322, 639, 267, 543, 519, 7202, 622, 14934, 6350, 543, 519, 535, 12494, 6319, 616, 9674, 676, 519, 535, 12494, 686, 617, 550, 622, 521, 592, 322, 639, 269, 634, 993, 17789, 323, 8403, 543, 28481, 2086, 531, 5250, 9114, 1175, 9944, 543, 616, 865, 703, 2954, 1644, 547, 519, 8544, 658, 13796, 16794, 602, 789, 616, 2808, 538, 713, 3296, 563, 763, 1612, 1695, 2089, 665, 2086, 531, 14934, 6350, 1821, 28179, 1199, 6053, 693, 519, 3135, 540, 519, 4608, 639, 267, 799, 4122, 3785, 1657, 519, 17895, 3645, 6316, 543, 568, 9674, 689, 519, 14230, 540, 519, 21828, 2627, 676, 519, 11002, 1400, 521, 592, 322, 639, 269, 634, 4608, 639, 267, 519, 1199, 6053, 1788, 532, 18751, 851, 540, 519, 1612, 1695, 2089, 665, 2086, 531, 14934, 6350, 267, 950, 9763, 689, 1657, 610, 2630, 814, 606, 16070, 3337, 609, 18751, 543, 17911, 12415, 602, 2743, 693, 513, 1199, 6053, 9859, 30085, 269, 634, 18751, 10126, 540, 519, 4608, 639, 8188, 606, 614, 15701, 6053, 543, 519, 17911, 10126, 8188, 16968, 15701, 6053, 269, 634, 18751, 10126, 814, 606, 3768, 22866, 31443, 2627, 267, 855, 519, 17911, 10126, 568, 5258, 883, 5580, 543, 2539, 2694, 676, 519, 4608, 531, 711, 577, 267, 513, 2110, 521, 592, 322, 639, 602, 11498, 689, 17911, 569, 883, 519, 31443, 2460, 540, 519, 17911, 10126, 630, 8993, 338, 269, 476, 273, 292, 267, 476, 274, 289, 267, 543, 476, 275, 289, 1040, 634, 31443, 3068, 540, 519, 18751, 10126, 8188, 519, 9938, 2711, 851, 540, 519, 861, 331, 341, 1014, 543, 25558, 573, 28250, 3179, 543, 519, 4835, 25558, 573 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21175, 4303, 267, 8285, 7908, 8481, 3092, 2678, 320, 563, 1103, 3932, 267, 968, 763, 918, 1170, 532, 7435, 814, 1044, 19644, 2094, 476, 1960, 274, 1299, 1869, 24889, 609, 4207, 1453, 2221, 282, 19962, 547, 519, 6249, 779, 2124, 341, 3599, 1299, 11541, 2470, 256, 901, 2295, 342, 9879, 1650, 24025, 19511, 1187, 19603, 4480, 26164, 7554, 1373, 3090, 1242, 998, 2241, 26007, 1175, 865, 602, 4896, 666, 2322, 1927, 3362, 693, 1753, 269, 1924, 979, 6619, 543, 1118, 930, 2048, 298, 1170, 532, 24732, 685, 1631, 1107, 945, 6487, 1018, 8823, 596, 3580, 1711, 609, 707, 1126, 270, 18244, 689, 713, 15851, 5929, 9661, 888, 13349, 5999, 5775, 26833, 281, 2659, 918, 1170, 532, 7435, 585, 4258, 3122, 681, 8829, 517, 14174, 304, 454, 2026, 513, 2385, 267, 649, 1419, 7237, 1585, 2591, 593, 875, 547, 6023, 938, 1126, 779, 3929, 9620, 269, 2290, 540, 891, 9620, 949, 1331, 519, 4250, 540, 9668, 4160, 693, 1153, 610, 1554, 3249, 267, 799, 666, 4734, 1312, 3237, 543, 1453, 4743, 14126, 543, 14221, 269, 1717, 267, 972, 616, 2081, 547, 865, 6139, 707, 1126, 30778, 13285, 998, 2241, 3800, 899, 3246, 873, 609, 968, 330, 1170, 532, 1688, 9731, 2252, 596, 4076, 711, 4862, 540, 519, 2165, 1354, 267, 1577, 803, 2285, 596, 513, 5618, 7650, 281, 4258, 3122, 681, 8829, 517, 568, 513, 1915, 689, 10748, 9445, 24282, 779, 1433, 13886, 634, 918, 1170, 532, 7435, 269, 769, 713, 1650, 1504, 9661, 267, 4258, 3122, 16137, 875, 1010, 3993, 21098, 539, 1864, 593, 519, 13869, 540, 1010, 1688, 607, 646, 5036, 856, 585, 1153, 538, 1931, 547, 9350, 1010, 32370, 8164, 1352, 7012, 1406, 1472, 563, 2414, 2417, 14969, 593, 713, 1523, 543, 1683, 3730, 1344, 865, 602, 782, 3237, 723, 1569, 547, 621, 1107, 1934, 616, 1455, 2055, 12943, 827, 21098, 532, 3946, 585, 4258, 3122, 681, 8829, 517, 912, 272, 264, 1548, 2085, 568, 3617, 585, 10962, 968, 763, 918, 1170, 532, 7435, 892, 888, 2467, 3884, 1406, 2731, 606, 3169, 1318, 2085, 2039, 585, 950, 547, 6338, 519, 1650, 1504, 9661, 855, 3622, 2038, 6689, 630, 274, 268, 277, 1296, 2025, 264, 1131, 581, 513, 1390, 942, 6236, 789, 2461, 2693, 4358, 9251, 270, 11779, 7124, 676, 1287, 563, 273, 264, 1215, 798, 594, 2253, 7598, 968, 763, 918, 1170, 532, 7435, 892, 4480, 888, 9359, 676, 2542, 16965, 634, 918, 1170, 532, 7435, 1650, 1504, 1896, 2053, 1991, 707, 1126, 2965, 17596, 621, 630, 328, 4318, 282, 1101, 1554, 693, 9656, 1040, 32113, 707, 1126, 538, 11093, 741, 13869, 1996, 16523, 1247, 596, 21098, 621, 14578, 1282, 2259, 7886, 269, 661, 2084, 707, 2370, 835, 883, 1138, 6819, 1018, 2048, 332, 16244, 7933, 23098, 1281, 685, 786, 5000, 1732, 8458, 789, 3580, 3362, 2936, 1767, 6208, 2933, 607, 2877, 563, 274, 264, 2052, 1250, 7649, 270, 18876, 2097, 909, 609, 741, 1378, 4528, 22290, 21098, 525, 888, 8133, 256, 898, 779, 1271, 602, 1142, 1920, 4759, 9060, 4313, 538, 13467, 602, 960, 1655, 14350, 2443, 6220, 5172, 4778, 267, 4798, 610, 19463, 3688, 971, 607, 24120, 610, 11442, 1223, 581, 5363, 1932, 2336, 275, 264, 9701, 713, 1152, 581, 1031, 693, 1153, 27473, 3249, 888, 27028, 5193, 569, 711, 256, 9484, 9653, 4160, 666, 4755, 896, 1082, 6381, 971, 607, 3207, 13569, 267, 6105, 267, 3092, 269, 20074, 519, 21098, 532, 1688, 4480, 950, 596, 1745, 621, 3617, 2337, 1018, 8385, 3323, 607, 513, 5432, 4356, 1869, 581, 2500, 538, 824, 2127, 540, 1272, 563, 276, 264, 1548, 4523, 952, 1250, 1126, 3085, 1406, 4431, 547, 713, 1523, 1310, 1101, 3498, 888, 10673, 1406, 5855, 610, 2285, 909, 1175, 2943, 267, 930, 1453, 949, 1491, 3476, 982, 1866, 547, 3082, 547, 1689, 1107, 543, 602, 2882, 1007, 13467, 269, 5901, 8026, 634, 918, 1170, 532, 7435, 609, 707, 737, 1342, 334, 3232, 2394, 789, 2461, 4712, 585, 1776, 3801, 593, 6388, 1554, 563, 1103, 3932, 281, 9282, 621, 3085, 1406, 2709, 606, 7525, 4368, 585, 782, 9620, 7231, 609, 9668, 32370, 1107, 1312, 3237, 270, 3249, 7426, 543, 3610, 7567, 3858, 972, 779, 1945, 2027, 827, 7487, 741, 2370, 835, 7485, 856, 2048, 1492, 21098, 532, 1688, 8072, 602, 729, 4481, 1500, 585, 873, 593, 513, 9157, 1554, 865, 15260, 3293, 569, 269, 18227, 519, 2259, 6296, 5812, 568, 1883, 2336, 4517, 945, 6487, 286, 9320, 968, 763, 918, 1170, 532, 7435, 892, 786, 1831, 707, 1920, 779, 979, 3562, 12003, 7271, 1700, 18034, 1282, 1346, 646, 8157, 1394, 3562, 17469, 2053, 799, 649, 917, 2097, 1472, 630, 684, 8413, 14386, 1169, 1032, 2336, 763, 29526, 19992, 589, 918, 1170, 532, 7435, 1280, 4258, 3122, 681, 8829, 517, 454, 763, 1650, 540, 968, 763, 918, 1170, 532, 7435, 892, 568, 513, 11537, 1453, 779, 1433, 602, 814, 1044, 1224, 543, 19644, 676, 1082, 3885, 585, 1296, 269, 634, 9661, 25856, 1472, 12423, 519, 2648, 543, 4313, 602, 666, 581, 1336, 538, 513, 2027, 21098, 689, 2576, 649, 1416, 827, 7184, 269, 2311, 519, 2295, 540, 713, 3001, 2239, 6013, 606, 1271, 3992, 827, 3929, 6043, 543, 12003, 609, 9668, 4160, 1107, 513, 5048, 602, 24889, 9244, 609, 4079, 607, 1134, 607, 1453, 563, 4407, 519, 3003, 4729, 1467, 540, 968, 763, 918, 1170, 532, 7435, 892, 568, 4190, 543, 15700, 267, 621, 568, 519, 13513, 3297, 4258, 3122, 681, 8829, 517, 779, 21098, 532, 1688, 23972, 602, 2306, 713, 1650, 865, 9159, 269, 5272, 1469, 1369, 713, 8748, 1433, 814, 1044, 5402, 18705, 547, 1118, 922, 5497, 1764, 593, 519, 5467, 267, 2523, 950, 621, 2501, 547, 18995, 875, 3425, 4308, 609, 18354, 610, 16236, 563, 2690, 1346, 14542, 609, 519, 1650, 267, 4258, 3122, 681, 8829, 517, 2833, 8401, 1145, 693, 2348, 547, 4734, 1010, 3993, 1142, 1554, 585, 1153, 269, 674, 3166, 609, 1018, 646, 6544, 1161, 607, 14488, 267, 1010, 3993, 11414, 1864, 547, 2482, 1010, 13869, 1996, 1200, 338, 267, 1287, 1352, 21098, 525, 621, 1354, 11488, 1864, 1055, 883, 519, 1158, 3564, 741, 1753, 1700, 1945, 799, 2488, 1864, 10373, 4313, 2429, 1010, 3232, 6296, 563, 2026, 3988, 3356, 998, 2048, 763, 918, 1170, 532, 7435, 685, 2239, 789, 3605, 1175, 875, 6209, 4258, 3122, 779, 1129, 540, 15754, 7140, 856, 547, 581, 269, 898, 24151, 1454, 811, 982, 2241, 931, 15684, 585, 1373, 9674, 689, 835, 779, 1920, 281, 621, 5713, 607, 15266, 547, 938, 3838, 1480, 1995, 910, 712, 8471, 4664, 268, 971, 2530, 10462, 610, 20420, 1419, 20575, 721, 782, 2429, 1272, 563, 29012, 267, 1169, 3693, 4330, 1934, 19156, 1946, 3025, 14560, 2048, 763, 918, 1170, 532, 7435, 19028, 1607, 12572, 23972, 14753, 12531, 711, 1152, 827, 1762, 4258, 3122, 855, 849, 8103, 3294, 20196, 3006, 1256, 4079, 991, 4313, 532, 17267, 950, 5185, 609, 2182, 1919, 899, 1565, 1007, 1919, 610, 15268, 547, 1689, 282, 8449, 1898, 2509, 2679, 2635, 3347, 563, 3719, 5310, 1034, 1713, 616, 891, 1507, 4191, 540, 15754, 1694, 693, 4099, 3942, 10223, 7554, 1063, 3237, 270, 618, 832, 270, 15505, 652, 16254, 12391, 2614, 711, 8209, 1152, 3391, 855, 16994, 569, 7747, 1346, 1175, 4098, 547, 1174, 741, 4664, 269, 901, 24617, 18705, 2239, 14753, 593, 519, 1379, 540, 15260, 4269, 543, 8992, 606, 796, 344, 1752, 532, 6125, 1063, 3237, 610, 22242, 1107, 945, 616, 15962, 2943, 6109, 267, 799, 2488, 513, 2631, 540, 4313, 543, 10362, 602, 791, 29251, 2063, 5944, 563, 1103, 3932, 267, 952, 596, 2461, 2576, 3168, 585, 513, 1650, 827, 2648, 20408, 9465, 281, 968, 763, 918, 1170, 532, 7435, 892, 14550, 711, 1152, 938, 4158, 652, 8090, 855, 849, 875, 649, 666, 6330, 998, 1272, 779, 1034, 4101, 3871, 609, 4222, 268, 5833, 676, 1489, 689, 938, 6068, 3283, 267, 1631, 3090, 1242, 538, 713, 2295, 2914, 9879, 9784, 1063, 3993, 543, 1126, 7064, 547, 2278, 10748, 9445, 24282, 779, 5402, 18705, 1433, 4586, 3963, 5272, 4132, 20126, 589, 918, 1170, 532, 7435, 1280, 4258, 3122, 681, 8829, 517, 281, 5440, 476, 276, 12700, 454, 2252, 596, 616, 513, 2385, 267, 27877, 610, 2576, 2324, 609, 1453, 267, 1287, 621, 568, 2693, 602, 596, 723, 2097, 2066, 519, 28601, 1453, 779, 1433, 968, 763, 918, 1170, 532, 7435, 892, 676, 10748, 9445, 24282, 269, 901, 2295, 342, 9879, 9661, 827, 4258, 3122, 681, 8829, 517, 543, 1010, 3993, 8711, 519, 2956, 540, 2648, 543, 4276, 1063, 3237, 543, 741, 1453, 563, 4263, 519, 4099, 540, 713, 1650, 568, 513, 2241, 2943, 3532, 9161, 1634, 607, 968, 1492, 21098, 532, 1688, 6100, 769, 2013, 596, 723, 711, 4862, 540, 621, 1354, 267, 519, 21098, 532, 1688, 3322, 11093, 513, 21098, 593, 707, 1126, 779, 13869, 865, 789, 666, 4163, 621, 609, 873, 16382, 789, 979, 2429, 519, 1554, 269, 3371, 616, 476, 276, 4128, 1946, 1169, 1126, 2115, 513, 21098, 532, 1688, 912, 272, 264, 898, 11942, 3929, 3354, 454, 2691, 1762, 1453, 1745, 538, 1852, 540, 741, 4664, 267, 789, 616, 811, 2693, 547, 581, 8746, 543, 23904, 827, 2933, 267, 1004, 1472, 873, 543, 741, 2104, 16548, 269, 634, 4241, 3364, 827, 968, 1492, 21098, 532, 1688, 892, 4480, 568, 602, 621, 2337, 3214, 1628, 6043, 676, 5356, 606, 19671, 1448, 1141, 789, 666, 1569, 4606, 540, 3106, 267, 4313, 543, 2648, 1256, 950, 2476, 689, 1753, 610, 14129, 856, 563, 273, 264, 898, 7512, 2792, 454, 29261, 945, 4497, 538, 930, 1106, 540, 2318, 2168, 3346, 609, 741, 2370, 3283, 4043, 547, 11349, 6793, 6125, 982, 1346, 945, 1810, 1406, 269, 1635, 1210, 513, 2241, 23972, 899, 519, 21098, 532, 1688, 267, 3237, 666, 4001, 741, 3214, 875, 547, 5968, 15754, 2299, 1510, 1373, 8200, 593, 11913, 10291, 4805, 269, 589, 1164, 19317, 1310, 11264, 6780, 610, 25738, 21098, 525, 1282, 1920, 6980, 666, 849, 948, 12927, 2147, 6835, 563, 274, 264, 898, 25242, 1582, 12635, 454, 5591, 2339, 875, 2025, 835, 4991, 282, 4743, 6068, 786, 2141, 581, 606, 1898, 851, 540, 1480, 2470, 269, 1677, 1628, 1582, 21873, 1299, 22644, 10838, 938, 7820, 5108, 649, 991, 547, 1118, 873, 1745, 1271, 585, 945, 789, 6923, 616, 3079, 540, 32198, 873, 1759, 593, 5007, 23079, 610, 10781, 4805, 268, 799, 1522, 11385, 622, 936, 942, 256, 1879, 1453, 4309, 2370, 6411, 971, 607, 21098, 525, 1354, 6028, 1753, 1142, 6640, 2443, 2005, 5932, 2230, 585, 26772, 1489, 7488, 1018, 4523, 1472, 873, 4586, 275, 264, 898, 6971, 4160, 454, 763, 21098, 532, 1688, 4480, 666, 849, 948, 1453, 4383, 741, 2566, 543, 4160, 676, 3246, 513, 15889, 4276, 547, 6068, 3283, 950, 789, 616, 2476, 689, 1753, 269, 901, 568, 3226, 3730, 585, 3214, 945, 6560, 609, 9668, 4160, 267, 23462, 610, 824, 3029, 540, 3929, 11605, 269, 3958, 267, 6616, 602, 707, 4819, 814, 1945, 6209, 1299, 4052, 538, 1346, 8090, 950, 596, 2461, 711, 972, 6585, 519, 1379, 547, 13468, 1022, 31536, 542, 789, 949, 4163, 563, 276, 264, 898, 5036, 513, 5748, 585, 15400, 3347, 454, 15563, 267, 946, 540, 713, 1505, 11414, 2370, 3283, 602, 789, 723, 2576, 593, 741, 2427, 693, 782, 2053, 587, 353, 1548, 1732, 1259, 982, 547, 1305, 519, 3159, 1247, 1762, 286, 1635, 4758, 873, 21098, 525, 1169, 6640, 1354, 6028, 268, 835, 12958, 606, 5790, 1141, 2648, 1299, 1416, 3587, 7961, 2299, 2404, 609, 1920, 2818, 610, 1175, 1004, 649, 1871, 1034, 587, 353, 1452, 27742, 616, 1271, 607, 2631, 540, 2146, 3947, 721, 10114, 4269, 2429, 1272, 563, 1103, 3932, 267, 968, 1492, 21098, 532, 1688, 892, 3091, 811, 982, 1175, 513, 2241, 23972, 282, 621, 779, 568, 606, 4316, 547, 1397, 2648, 543, 15754, 2509, 707, 1126, 799, 666, 979, 3564, 20471, 538, 1272, 1765, 322, 11661, 16345, 3255, 1063, 2385, 30512, 2078, 11014, 269, 1635, 10962, 971, 6653, 4497, 906, 883, 938, 1554, 3562, 6377, 6296, 2636, 10727, 10838, 2043, 256, 2060, 865, 1082, 2640, 4172, 3481, 1369, 713, 5458, 569, 2442, 19829, 22190, 28508, 4480, 268, 972, 779, 1100, 2601, 1946, 1169, 1126, 3085, 1406, 17330, 835, 2370, 890, 1188, 1354, 4358, 1055, 1142, 1554, 1510, 3111, 2336, 1692, 589, 918, 1170, 532, 7435, 1280, 4258, 3122, 681, 8829, 517, 2052, 6435, 661, 848, 7982, 268, 2414, 4149, 1041, 17520, 454, 2026, 3237, 267, 972, 779, 1100, 3152, 4743, 540, 11348, 982, 7487, 938, 1453, 2212, 547, 1153, 609, 741, 1394, 335, 2931, 543, 12899, 7901, 525, 269, 1809, 585, 3214, 267, 2523 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9896, 909, 593, 661, 706, 3725, 341, 269, 5620, 596, 286, 2008, 17445, 687, 281, 8890, 572, 519, 2016, 8574, 5402, 2336, 763, 2856, 602, 3621, 1702, 568, 5906, 568, 7184, 11251, 538, 938, 2528, 269, 14088, 543, 18832, 941, 24193, 547, 3548, 689, 519, 10326, 540, 11310, 267, 543, 538, 29859, 781, 21537, 1047, 23452, 519, 1583, 25871, 9607, 519, 3529, 607, 519, 1412, 300, 1278, 540, 3163, 8339, 11569, 519, 2898, 540, 7262, 3332, 814, 711, 1044, 2186, 547, 3744, 543, 568, 4904, 609, 2592, 540, 873, 1199, 323, 1782, 609, 2470, 609, 29070, 2164, 269, 3807, 2015, 32264, 781, 29975, 267, 3619, 9220, 781, 13056, 755, 267, 543, 670, 5060, 2917, 781, 4858, 557, 1715, 2622, 269, 2290, 786, 3406, 609, 1360, 2370, 1967, 585, 513, 3209, 538, 799, 3744, 2097, 856, 1134, 910, 519, 10770, 3239, 568, 602, 540, 3744, 607, 513, 6204, 961, 612, 1895, 14955, 1356, 2740, 609, 5683, 2152, 269, 1656, 1141, 568, 972, 513, 4670, 25091, 547, 2257, 888, 8512, 540, 519, 1966, 568, 519, 1476, 3175, 540, 2257, 543, 2029, 269, 634, 11984, 1063, 2257, 543, 2029, 267, 1063, 1702, 543, 1620, 593, 519, 835, 1688, 543, 519, 3498, 540, 602, 1702, 547, 1818, 1945, 267, 610, 1210, 621, 538, 930, 4052, 1259, 267, 568, 4909, 563, 16631, 7472, 2093, 827, 875, 519, 1158, 1568, 267, 6466, 519, 2093, 538, 2029, 1267, 538, 26729, 3615, 269, 5303, 568, 1454, 4587, 982, 4376, 835, 1223, 2543, 607, 2257, 543, 19448, 3660, 676, 1022, 2257, 269, 5303, 5795, 4473, 547, 519, 13492, 540, 2038, 3425, 267, 899, 6683, 543, 4496, 11529, 269, 898, 568, 513, 2029, 602, 11438, 609, 621, 5683, 2152, 267, 689, 5179, 8364, 2504, 547, 28295, 513, 1480, 563, 3528, 4334, 267, 6325, 3621, 1702, 568, 1871, 6954, 543, 814, 1100, 5837, 610, 5683, 1871, 269, 3163, 8806, 6645, 721, 875, 519, 1158, 568, 269, 2334, 649, 616, 711, 693, 519, 4099, 540, 519, 7122, 568, 9444, 1434, 6862, 3983, 267, 6862, 568, 519, 7872, 602, 6090, 666, 3310, 938, 4987, 610, 938, 2623, 563, 763, 1514, 13800, 602, 3744, 723, 607, 3982, 689, 1346, 9021, 789, 2671, 609, 782, 4961, 2097, 689, 873, 2348, 1569, 547, 7463, 1702, 540, 875, 519, 1158, 1568, 267, 711, 3362, 3015, 547, 1866, 269, 4256, 17185, 568, 547, 1312, 1118, 1857, 1022, 1514, 6286, 540, 741, 960, 543, 922, 2009, 3156, 543, 547, 2285, 930, 4879, 540, 922, 10727, 563, 2005, 568, 711, 2653, 547, 1265, 1806, 540, 3744, 607, 513, 1895, 1969, 532, 1799, 528, 958, 610, 538, 513, 5906, 6073, 267, 519, 5929, 17565, 1373, 519, 552, 1872, 523, 923, 3350, 269, 634, 3621, 10054, 3297, 713, 11556, 616, 2629, 282, 519, 13429, 568, 602, 1034, 14909, 543, 24379, 1480, 10305, 616, 15110, 269, 3502, 1152, 729, 13007, 9228, 540, 607, 1373, 15110, 267, 855, 865, 1932, 941, 1202, 534, 640, 543, 1022, 2186, 540, 865, 10777, 13927, 12378, 14800, 1145, 269, 1358, 4625, 8959, 547, 2285, 606, 4879, 540, 519, 10727, 540, 741, 2093, 269, 2372, 924, 519, 14669, 267, 543, 1256, 811, 16620, 18976, 267, 741, 8753, 3100, 547, 723, 1044, 9141, 676, 1018, 789, 4718, 607, 519, 14909, 1514, 6286, 269, 1635, 4334, 267, 538, 6935, 547, 519, 2679, 540, 519, 10570, 10514, 267, 3744, 1969, 539, 25432, 543, 24009, 741, 1514, 13800, 676, 26655, 741, 6608, 827, 519, 6286, 540, 10570, 3069, 269, 898, 729, 606, 11999, 4702, 9028, 547, 1628, 519, 10514, 855, 519, 3375, 547, 798, 713, 729, 3144, 676, 14761, 267, 711, 3744, 563, 763, 5837, 1235, 723, 1044, 856, 538, 3196, 10213, 721, 540, 519, 3520, 5558, 540, 28295, 269, 3509, 1866, 267, 3084, 3401, 3769, 267, 723, 8678, 538, 513, 669, 11501, 540, 16897, 269, 1809, 1018, 3520, 5558, 286, 1548, 5683, 2152, 286, 769, 782, 519, 22233, 967, 793, 566, 711, 513, 2582, 4143, 1007, 5683, 3390, 814, 1044, 25250, 856, 563, 17829, 945, 15974, 547, 804, 821, 513, 1480, 616, 2564, 1099, 5505, 267, 711, 3744, 269, 898, 568, 711, 267, 607, 519, 6915, 2173, 7394, 1235, 3409, 267, 602, 3621, 5647, 814, 856, 560, 686, 5529, 938, 1514, 543, 5837, 9479, 269, 3807, 519, 6587, 568, 519, 2013, 269, 4256, 31117, 609, 519, 1272, 540, 519, 21872, 814, 1219, 21124, 938, 3007, 2476, 689, 519, 1483, 3390, 267, 799, 568, 875, 1453, 616, 6659, 543, 10114, 3293, 269, 634, 476, 1571, 538, 938, 2486, 723, 4986, 547, 798, 609, 21528, 610, 7303, 12093, 855, 616, 25340, 4299, 676, 875, 1453, 616, 5701, 563, 26524, 476, 272, 1700, 277, 281, 1684, 519, 1739, 6898, 3858, 609, 519, 1344, 2016, 538, 519, 7335, 8574, 269, 8382, 6936, 267, 8771, 610, 3502, 2016, 269, 8074, 912, 12148, 281, 952, 519, 3948, 23216, 609, 519, 1344, 454, 16178, 281, 952, 519, 3948, 17591, 338, 519, 1344, 454, 8253, 2016, 281, 952, 972, 568, 1100, 1344, 593, 713, 454, 304, 269, 272, 269, 634, 4670, 2872, 1281, 711, 1118, 8874, 827, 2257, 269, 12223, 13090, 454, 304, 269, 273, 269, 12207, 798, 711, 960, 538, 796, 2581, 950, 14045, 1018, 2115, 547, 581, 21503, 269, 12223, 13090, 454, 304, 269, 274, 269, 14268, 1616, 547, 723, 804, 19861, 1453, 1631, 269, 12223, 13090, 454, 304, 269, 275, 269, 5303, 729, 1271, 1354, 519, 1646, 540, 2257, 269, 12223, 13090, 454, 304, 269, 276, 269, 3509, 1004, 2015, 28295, 547, 581, 24379, 269, 12223, 13090, 454, 304, 269, 277, 269, 3163, 543, 5303, 1590, 581, 2938, 607, 5094, 9988, 269, 12223, 13090, 454, 9223, 476, 278, 281, 13159, 519, 5758, 2630, 269, 7994, 12971, 27749, 8946, 3198, 29375, 302, 20796, 9169, 689, 519, 8574, 585, 707, 2626, 563, 304, 269, 278, 269, 1548, 6766, 519, 552, 1872, 523, 923, 3350, 950, 789, 941, 28388, 519, 4681, 540, 741, 1382, 888, 26524, 476, 279, 268, 1556, 281, 7994, 21450, 8360, 689, 519, 1592, 540, 2453, 589, 6953, 2630, 547, 2347, 1142, 540, 519, 1739, 5220, 269, 3503, 519, 3617, 5022, 538, 1025, 3471, 476, 279, 268, 1556, 593, 707, 2626, 6656, 563, 304, 269, 279, 269, 769, 3332, 12223, 13090, 4586, 304, 269, 280, 269, 5303, 12223, 13090, 4586, 304, 269, 1015, 269, 3163, 12223, 13090, 4586, 304, 269, 1556, 269, 27824, 569, 798, 3744, 12223, 13090, 563, 26524, 476, 1321, 281, 7994, 519, 2953, 4484, 267, 513, 267, 536, 267, 524, 267, 610, 546, 563, 304, 269, 1321, 269, 4340, 547, 519, 5856, 267, 3163, 2982, 721, 454, 5416, 264, 938, 2990, 538, 519, 7122, 563, 6357, 264, 875, 4987, 5540, 938, 2623, 563, 6262, 264, 1018, 519, 1158, 568, 2731, 899, 563, 5560, 264, 3744, 723, 2027, 1514, 13800, 563, 11405, 540, 476, 272, 912, 763, 4670, 2872, 1281, 711, 1118, 8874, 827, 2257, 269, 910, 8771, 454, 11405, 540, 476, 273, 912, 14722, 798, 711, 960, 538, 796, 2581, 950, 14045, 1018, 2115, 547, 581, 21503, 269, 910, 8771, 454, 11405, 540, 476, 274, 912, 29261, 1616, 547, 723, 804, 19861, 1453, 1631, 269, 910, 3502, 9717, 454, 11405, 540, 476, 275, 912, 22897, 729, 1271, 1354, 519, 1646, 540, 2257, 269, 910, 6936, 454, 11405, 540, 476, 276, 912, 6624, 1004, 2015, 28295, 547, 581, 24379, 269, 910, 6936, 454, 11405, 540, 476, 277, 912, 16631, 543, 5303, 1590, 581, 2938, 607, 5094, 9988, 269, 910, 6936, 454, 11405, 540, 476, 278, 912, 1432, 6766, 519, 552, 1872, 523, 923, 3350, 950, 789, 941, 28388, 519, 4681, 540, 741, 1382, 286, 630, 25791, 6286, 994, 11405, 540, 476, 279, 912, 1103, 3332, 910, 630, 293, 1916, 11405, 540, 476, 280, 912, 22897, 910, 630, 289, 1916, 11405, 540, 476, 1015, 912, 16631, 910, 630, 291, 1916, 11405, 540, 476, 1556, 912, 305, 732, 569, 798, 3744, 910, 630, 288, 1916, 11405, 540, 476, 1321, 912, 290, 910, 1018, 519, 1158, 568, 2731, 899, 269, 0, 29557, 1377, 11608, 723, 2484, 811, 2352, 11387, 267, 3850, 873, 547, 14892, 1896, 4247, 269, 1358, 666, 581, 23553, 267, 855, 741, 5752, 666, 1406, 581, 4957, 2663, 269, 26597, 540, 873, 723, 9112, 2987, 8596, 547, 6895, 741, 5790, 543, 4431, 547, 621, 9935, 269, 29790, 568, 519, 2361, 540, 2679, 267, 2870, 267, 543, 1818, 946, 540, 891, 11608, 269, 4855, 856, 827, 519, 3778, 540, 17562, 1299, 7352, 7724, 540, 11608, 2059, 609, 1806, 563, 10468, 1116, 5121, 543, 2147, 3642, 5690, 545, 3631, 1450, 11608, 547, 1413, 13998, 6857, 543, 1582, 23655, 269, 11048, 267, 519, 3527, 789, 666, 9585, 616, 20866, 25229, 21747, 693, 1034, 2500, 269, 1358, 798, 711, 2097, 9170, 2282, 519, 3102, 4170, 540, 519, 570, 1005, 1449, 269, 22527, 3602, 267, 972, 779, 513, 3395, 1297, 540, 1004, 945, 2015, 3810, 540, 741, 3642, 610, 11608, 267, 8156, 873, 607, 606, 10137, 540, 2933, 563, 28274, 519, 2140, 968, 7809, 2264, 512, 6856, 892, 899, 606, 22597, 267, 513, 6952, 22433, 2165, 585, 782, 4152, 2404, 6009, 5526, 849, 2647, 538, 519, 1032, 476, 1708, 271, 269, 18641, 267, 11285, 5107, 543, 10643, 267, 899, 1449, 12957, 17354, 267, 723, 676, 1631, 2097, 547, 581, 28125, 543, 4092, 5176, 10876, 269, 1809, 972, 568, 513, 1007, 2816, 2140, 6932, 602, 6499, 547, 2097, 547, 581, 3063, 3927, 268, 30009, 269, 634, 31584, 11202, 325, 4193, 12229, 1982, 568, 513, 3593, 7874, 3760, 602, 3091, 519, 8773, 12016, 519, 6099, 2619, 547, 519, 3461, 269, 634, 23070, 8806, 14405, 856, 519, 11768, 540, 519, 6413, 2899, 267, 543, 519, 31584, 11202, 325, 4193, 8950, 3301, 786, 3314, 621, 269, 1879, 513, 1376, 1055, 543, 9096, 1448, 616, 6074, 267, 519, 5690, 23607, 782, 798, 762, 10092, 689, 519, 1079, 2798, 563, 3891, 4566, 547, 1711, 19630, 639, 607, 606, 14628, 8773, 585, 2527, 2504, 267, 609, 519, 6662, 540, 9513, 873, 585, 1454, 1447, 982, 1269, 736, 267, 1822, 269, 19630, 639, 786, 946, 519, 1360, 1482, 3642, 602, 23592, 3301, 8030, 1500, 585, 519, 2754, 779, 6517, 267, 799, 723, 606, 3642, 14617, 9920, 948, 1982, 267, 11339, 15537, 1744, 1678, 1633, 585, 595, 25892, 269, 5502, 540, 6044, 519, 8773, 779, 3642, 609, 6117, 7044, 267, 789, 3580, 5721, 621, 538, 519, 4890, 1158, 269, 901, 729, 519, 1101, 942, 519, 8773, 15336, 676, 3294, 27507, 540, 606, 2417, 1489, 547, 3180, 621, 689, 9991, 267, 646, 6045, 267, 4946, 602, 621, 1223, 798, 1454, 811, 1950, 4247, 982, 1018, 729, 7152, 593, 519, 3942, 269, 1261, 1287, 4951, 519, 5304, 7044, 540, 621, 14450, 513, 2030, 267, 8876, 10833, 543, 3001, 4496, 13063, 1498, 621, 729, 512, 9220, 1042, 269, 717, 307, 311, 3947, 513, 11727, 3126, 13886, 5274, 6441, 2194, 641, 610, 2780, 19983, 563, 763, 6673, 3722, 1858, 568, 15810, 547, 2709, 1271, 3255, 538, 519, 2872, 543, 568, 17191, 547, 1332, 693, 519, 5207, 595, 8980, 305, 585, 519, 8653, 540, 519, 9472, 1974, 269, 6673, 3722, 4742, 513, 5663, 13398, 568, 17191, 547, 9772, 519, 8773, 3301, 15186, 267, 547, 3251, 3902, 18026, 543, 13143, 2362, 7779, 5370, 547, 824, 2477, 269, 634, 1867, 2488, 2143, 4030, 883, 519, 5001, 8773, 3301, 2344, 5097, 1759, 593, 3498, 2010, 267, 8773, 3029, 267, 17293, 3631, 267, 3919, 7306, 267, 7299, 338, 267, 543, 4525, 269, 7324, 519, 3498, 3029, 267, 6284, 3301, 568, 4397, 547, 723, 519, 4102, 19458, 2450, 998, 519, 9472, 1974, 563, 4415, 922, 22606, 14764, 267, 645, 2975, 25957, 6663, 547, 581, 22537, 547, 3593, 6499, 269, 645, 2975, 25957, 666, 581, 13234, 2901, 607, 513, 5398, 13192, 267, 17721, 13192, 267, 610, 2201, 6261, 8145, 2478, 269, 4634, 1498, 649, 1589, 1239, 568, 1883, 547, 6721, 4030, 621, 666, 581, 4674, 1652, 547, 581, 16397, 676, 621, 269, 3776, 20440, 568, 547, 1020, 513, 2347, 7650, 543, 2285, 29829, 5647, 4987, 865, 596, 666, 3489, 707, 9072, 811, 3533, 269, 634, 2947, 18951, 3350, 3498, 30596, 7604, 1078, 1657, 616, 9621, 1806, 856, 540, 476, 8687, 649, 9916, 585, 713, 2376, 269, 1677, 5431, 519, 1034, 4143, 3435, 1759, 593, 707, 1808, 7355, 267, 1205, 538, 5905, 563, 288, 1372, 638, 2299, 5466, 3354, 543, 7834, 2152, 2115, 513, 7848, 540, 2930, 267, 1514, 267, 543, 3656, 4485, 269, 6176, 543, 623, 322, 3163, 568, 7396, 607, 835, 1880, 540, 519, 1283, 476, 276, 3163, 13405, 885, 538, 23171, 779, 1699, 2160, 3163, 570 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8686, 2723, 775, 1070, 2893, 5984, 630, 13700, 3578, 1070, 4230, 5674, 320, 630, 12061, 3613, 324, 2718, 1070, 513, 1706, 580, 571, 3873, 630, 12061, 2275, 913, 339, 748, 1145, 264, 543, 2909, 327, 332, 659, 5953, 787, 320, 630, 4897, 756, 2329, 1315, 20208, 1916, 763, 562, 15676, 8909, 327, 639, 616, 7986, 693, 918, 3518, 327, 5283, 320, 267, 1141, 519, 1931, 538, 799, 789, 4283, 519, 1216, 568, 6378, 676, 2245, 269, 2991, 519, 9947, 320, 513, 16223, 4673, 267, 519, 715, 597, 534, 329, 8643, 543, 10067, 534, 597, 7079, 328, 13019, 327, 4673, 8399, 547, 741, 8602, 269, 10548, 752, 16194, 3534, 4569, 1530, 341, 1662, 1090, 616, 3592, 519, 2063, 538, 519, 1184, 542, 563, 1103, 519, 4095, 3909, 543, 10952, 5389, 267, 782, 1702, 568, 14360, 1394, 547, 519, 10971, 543, 547, 519, 681, 880, 529, 945, 5097, 4607, 519, 28174, 553, 607, 11240, 725, 563, 763, 1699, 3600, 776, 553, 267, 519, 9843, 540, 519, 12103, 30909, 13757, 267, 10250, 741, 6392, 1394, 547, 519, 2185, 1292, 20785, 540, 1744, 1678, 4673, 267, 314, 19986, 476, 280, 316, 543, 1142, 540, 519, 9843, 540, 891, 2185, 12103, 30909, 13757, 3217, 519, 2140, 540, 1744, 1678, 541, 778, 776, 320, 9497, 1492, 4121, 1744, 1678, 4673, 8442, 1310, 1520, 328, 1744, 1678, 4673, 563, 763, 5917, 7159, 320, 575, 15843, 268, 12407, 1706, 5953, 630, 18118, 720, 540, 717, 32203, 538, 6348, 268, 706, 16117, 264, 5956, 609, 519, 29631, 942, 540, 519, 20707, 10216, 268, 12407, 1706, 5953, 267, 4553, 676, 519, 642, 14037, 694, 619, 540, 519, 476, 9719, 504, 23973, 328, 268, 12407, 1706, 5953, 267, 543, 519, 631, 31488, 6072, 268, 12407, 1706, 5953, 540, 3140, 2053, 543, 14789, 281, 314, 19986, 476, 280, 6012, 16694, 476, 275, 2639, 268, 590, 3385, 32251, 454, 268, 22087, 332, 629, 16852, 9366, 630, 289, 19207, 332, 5953, 994, 268, 29583, 25475, 536, 327, 698, 822, 520, 335, 5953, 6767, 454, 268, 15662, 504, 1678, 4673, 536, 327, 698, 822, 520, 335, 5953, 6767, 267, 543, 1287, 1744, 1678, 4673, 781, 2185, 20785, 454, 268, 966, 5953, 4135, 1731, 752, 5953, 571, 630, 306, 675, 23410, 341, 4673, 264, 543, 1866, 454, 295, 785, 639, 945, 4283, 521, 15967, 5953, 21542, 538, 519, 17487, 497, 330, 3385, 22170, 21681, 491, 328, 2245, 1491, 909, 835, 540, 519, 4557, 4408, 2404, 609, 713, 590, 2086, 571, 1485, 320, 281, 12852, 328, 267, 8830, 328, 267, 13225, 5953, 7806, 13682, 267, 966, 3570, 20324, 534, 267, 17487, 478, 571, 22170, 5984, 267, 32371, 4673, 267, 17487, 478, 23410, 18769, 267, 7203, 553, 341, 520, 13682, 267, 570, 13682, 337, 15925, 267, 543, 3474, 341, 1092, 16804, 19986, 476, 1556, 6012, 19986, 476, 272, 316, 590, 1415, 12118, 540, 5917, 7159, 320, 28174, 9017, 543, 667, 341, 7159, 320, 28174, 9017, 4866, 547, 17487, 497, 330, 3385, 22170, 21681, 491, 328, 2245, 563, 24092, 2213, 5903, 540, 30605, 534, 5953, 332, 13682, 338, 538, 9504, 454, 1607, 3296, 679, 10179, 919, 267, 538, 3044, 2213, 6073, 267, 2818, 540, 519, 30605, 534, 5953, 332, 13682, 11352, 609, 4930, 538, 9504, 267, 17609, 1142, 896, 1010, 6101, 2140, 543, 2012, 267, 1510, 519, 946, 540, 519, 8956, 881, 338, 314, 16694, 476, 277, 316, 1031, 676, 25058, 525, 543, 20785, 269, 634, 2262, 834, 18933, 5953, 332, 13682, 257, 1934, 568, 711, 606, 8956, 881, 269, 898, 568, 519, 2140, 540, 606, 15748, 4759, 540, 519, 30605, 534, 5953, 332, 13682, 11352, 269, 9980, 1845, 616, 7396, 538, 3044, 1106, 281, 570, 3951, 4041, 630, 18933, 5953, 332, 13682, 264, 1341, 623, 8991, 2177, 3201, 715, 28719, 1341, 590, 18510, 268, 16704, 2207, 715, 28719, 269, 589, 1906, 13366, 723, 519, 3606, 2140, 630, 2254, 8956, 881, 264, 540, 834, 297, 698, 611, 326, 15843, 15662, 504, 1678, 541, 5953, 322, 5953, 787, 320, 257, 799, 1374, 919, 2901, 835, 540, 519, 2185, 18678, 3401, 540, 519, 1931, 630, 16341, 6343, 2147, 547, 519, 2990, 540, 15352, 538, 7826, 8567, 1040, 834, 300, 1695, 9017, 257, 568, 606, 11889, 2140, 1374, 908, 606, 10721, 2990, 610, 5604, 8655, 547, 1978, 7606, 563, 16085, 342, 5953, 332, 13682, 2806, 327, 599, 31488, 7701, 8830, 328, 1475, 23210, 1977, 20006, 540, 966, 633, 330, 31488, 7701, 8198, 16085, 342, 5953, 332, 13682, 2806, 1117, 31488, 7701, 8830, 328, 1475, 11577, 2118, 540, 681, 5953, 332, 752, 3464, 3534, 8198, 16085, 342, 5953, 332, 13682, 2806, 327, 20680, 14865, 344, 5953, 570, 13682, 337, 15925, 1475, 297, 698, 611, 326, 15843, 15662, 504, 1678, 541, 5953, 322, 5953, 787, 320, 540, 15662, 504, 337, 978, 29800, 8198, 16085, 342, 5953, 332, 13682, 21926, 531, 31488, 7701, 8830, 328, 1475, 11577, 2118, 540, 966, 633, 330, 31488, 7701, 8198, 16085, 342, 5953, 332, 13682, 589, 16408, 27175, 7701, 7203, 553, 341, 520, 13682, 1475, 294, 16728, 5984, 966, 9820, 333, 6072, 4116, 8198, 16085, 342, 5953, 332, 13682, 1520, 321, 327, 583, 31488, 7701, 8830, 328, 1475, 11577, 2118, 540, 681, 5953, 332, 752, 3464, 3534, 8198, 16085, 342, 5953, 332, 13682, 1520, 728, 341, 31488, 7701, 8830, 328, 1475, 305, 600, 752, 16194, 3534, 31494, 8198, 16085, 342, 5953, 332, 13682, 5917, 7159, 31488, 7701, 8830, 328, 1475, 11577, 2118, 540, 681, 5953, 332, 752, 3464, 3534, 8198, 16085, 342, 5953, 332, 13682, 6520, 327, 31488, 7701, 13225, 5953, 7806, 13682, 1475, 288, 755, 6929, 1977, 7214, 543, 4274, 593, 4095, 4654, 543, 13093, 1108, 8198, 16085, 342, 5953, 332, 13682, 13019, 8518, 31488, 7701, 8830, 328, 1475, 11577, 2118, 540, 681, 5953, 332, 752, 3464, 3534, 8198, 16085, 342, 5953, 332, 13682, 13019, 327, 559, 31488, 7701, 8830, 328, 1475, 293, 10133, 540, 28174, 9017, 5980, 540, 3038, 2064, 543, 10548, 752, 16194, 3534, 28174, 9017, 5980, 540, 11785, 8198, 16085, 342, 5953, 332, 13682, 589, 802, 327, 984, 27256, 570, 13682, 337, 15925, 1475, 291, 341, 7159, 822, 5953, 19734, 8198, 16085, 342, 5953, 332, 13682, 17487, 478, 333, 7701, 570, 13682, 337, 15925, 1475, 7093, 1061, 528, 540, 667, 341, 7159, 320, 8198, 16085, 342, 5953, 332, 13682, 17487, 478, 333, 663, 31488, 7701, 8830, 328, 1475, 294, 663, 327, 1014, 19191, 8198, 16085, 342, 5953, 332, 13682, 12891, 758, 31488, 7701, 8830, 328, 1475, 305, 600, 752, 16194, 3534, 31494, 8198, 16085, 342, 5953, 332, 13682, 2311, 332, 629, 617, 9150, 571, 7203, 553, 341, 520, 13682, 1475, 303, 13682, 628, 5953, 323, 1222, 10620, 540, 21919, 752, 582, 328, 4569, 267, 20855, 577, 760, 340, 1090, 8198, 16085, 342, 5953, 332, 13682, 17487, 478, 339, 332, 5953, 329, 10722, 31488, 31488, 7701, 8830, 328, 1475, 13563, 10548, 752, 16194, 3534, 31494, 8198, 16085, 342, 5953, 332, 13682, 17487, 478, 339, 5733, 628, 31488, 7701, 8830, 328, 1475, 28347, 540, 519, 10548, 752, 16194, 3534, 17030, 8198, 16085, 342, 5953, 332, 13682, 13225, 5953, 7806, 13682, 570, 13682, 337, 15925, 1475, 297, 698, 611, 326, 15843, 15662, 504, 1678, 541, 5953, 322, 5953, 787, 320, 540, 15662, 504, 337, 978, 29800, 8198, 16085, 342, 5953, 332, 13682, 13225, 5953, 7806, 13682, 330, 3464, 3534, 570, 13682, 337, 15925, 1475, 297, 698, 611, 326, 15843, 15662, 504, 1678, 541, 5953, 322, 5953, 787, 320, 540, 8830, 328, 543, 16159, 540, 4095, 6128, 269, 3689, 15662, 504, 1678, 541, 5953, 322, 5953, 787, 320, 547, 3643, 519, 4639, 269, 589, 3578, 1819, 966, 14037, 9119, 8198, 16085, 342, 5953, 332, 13682, 13225, 2532, 541, 31488, 7701, 7203, 553, 341, 520, 13682, 1475, 306, 3273, 541, 543, 19671, 924, 540, 5484, 5953, 637, 8198, 16085, 342, 5953, 332, 13682, 13225, 19476, 332, 31488, 7701, 570, 13682, 337, 15925, 1475, 12892, 6963, 518, 269, 11819, 540, 13225, 698, 822, 611, 717, 7534, 543, 13225, 698, 822, 1092, 8830, 3570, 8198, 16085, 342, 5953, 332, 13682, 13225, 2373, 327, 31488, 7701, 8830, 328, 1475, 28347, 540, 519, 10548, 752, 16194, 3534, 17030, 8198, 16085, 342, 5953, 332, 13682, 26636, 327, 31488, 7701, 7203, 553, 341, 520, 13682, 1475, 11577, 2118, 540, 590, 643, 31488, 7701, 8198, 16085, 342, 5953, 332, 13682, 26636, 9150, 571, 7203, 553, 341, 520, 13682, 1475, 303, 13682, 628, 5953, 323, 1222, 10620, 540, 21919, 752, 582, 328, 4569, 267, 20855, 577, 760, 340, 1090, 8198, 16085, 342, 5953, 332, 13682, 23347, 332, 31488, 7701, 7203, 553, 341, 520, 13682, 1475, 11947, 569, 9113, 4624, 808, 698, 611, 326, 15843, 15662, 504, 1678, 541, 5953, 322, 5953, 787, 320, 540, 808, 344, 582, 3305, 5953, 344, 5953, 623, 13682, 15925, 267, 645, 7310, 514, 5953, 628, 8198, 16085, 342, 5953, 332, 13682, 15443, 19189, 16223, 4673, 13225, 5953, 7806, 13682, 1475, 297, 698, 611, 326, 15843, 15662, 504, 1678, 541, 5953, 322, 5953, 787, 320, 540, 15662, 504, 337, 978, 29800, 8198, 16085, 342, 5953, 332, 13682, 25941, 19189, 16223, 732, 526, 571, 7203, 553, 341, 520, 13682, 1475, 303, 13682, 628, 5953, 323, 1222, 10620, 540, 20855, 14024, 21919, 752, 582, 328, 3212, 996, 600, 267, 20855, 577, 760, 340, 1090, 269, 3171, 25733, 538, 6754, 25362, 660, 517, 781, 589, 9612, 538, 10555, 3127, 8198, 16085, 342, 5953, 332, 13682, 932, 573, 31488, 7701, 7203, 553, 341, 520, 13682, 1475, 11577, 2118, 540, 4210, 5953, 332, 13682, 15662, 504, 643, 31488, 7701, 7203, 553, 341, 520, 13682, 269, 5518, 540, 23942, 5020, 5980, 269, 3955, 17304, 603, 12167, 543, 3659, 540, 774, 6403, 577, 715, 327, 17554, 354, 339, 670, 17554, 350, 333, 327, 8198, 16085, 342, 5953, 332, 13682, 932, 573, 31488, 7701, 7203, 553, 341, 520, 13682, 1475, 293, 10133, 540, 17633, 538, 5245, 267, 4516, 267, 2342, 267, 543, 519, 7330, 8198, 16085, 342, 5953, 332, 13682, 932, 573, 341, 559, 553, 31488, 7701, 7203, 553, 341, 520, 13682, 1475, 11577, 2118, 543, 11280, 24288, 540, 631, 4157, 339, 31488, 7701, 269, 590, 3563, 540, 715, 640, 31488, 7701, 8198, 16085, 342, 5953, 332, 13682, 25590, 332, 5953, 344, 31488, 7701, 7203, 553, 341, 520, 13682, 1475, 295, 8114, 29966, 269, 5494, 2118, 540, 4210, 5953, 332, 13682, 15662, 504, 643, 31488, 7701, 7203, 553, 341, 520, 13682, 543, 4210, 5953, 332, 13682, 24135, 990, 534, 600, 12852, 328, 269, 674, 10133, 540, 25590, 332, 11535, 17030, 8198, 16085, 342, 5953, 332, 13682, 4303, 31488, 7701, 7203, 553, 341, 520, 13682, 1475, 306, 665, 1470, 3146, 31437, 6963, 518, 269, 674, 10133, 540, 519, 589, 787, 320, 6341, 1690, 8198, 16085, 342, 5953, 332, 13682, 4303, 31488, 7701, 7203, 553, 341, 520, 13682, 1475, 309, 539, 5953, 660, 476, 5953, 322, 5953, 787, 320, 269, 674, 10133, 540, 1488, 3333, 320, 966, 573, 5984, 717, 584, 4157, 592, 600, 8198, 16085, 342, 5953, 332, 13682, 667, 7315, 541, 5953, 10937, 12852, 328, 1475, 18770, 7159, 320, 28174, 5953, 660, 320, 476, 5953, 322, 5953, 787, 320, 269, 674, 10133, 540, 519, 3810, 1790, 6135, 16406, 918, 841, 1662, 12891, 1090, 267, 681, 880, 10105, 327, 8198, 16085, 342, 5953, 332, 13682, 717, 25301, 31488, 7701, 8830, 328, 1475, 28347, 540, 519, 10548, 752, 16194, 3534, 17030, 8198, 16085, 342, 5953, 332, 13682, 32573, 327, 597, 31488, 7701, 8830, 328, 1475, 28347, 540, 519, 10548, 752, 16194, 3534, 17030, 8198, 16085, 342, 5953, 332, 13682, 717, 534, 777, 10620, 7203, 553, 341, 520, 13682, 1475, 16524, 24331, 15446, 13682, 540, 5484, 5953, 637, 8198, 16085, 342, 5953, 332, 13682, 717, 6951, 327, 31488, 7701, 7203, 553, 341, 520, 13682, 1475, 312, 7541, 4116, 269, 32167, 559, 543, 521, 15967, 5953, 338, 20006, 540, 4210, 5953, 332, 13682, 15662, 504, 643, 31488, 7701, 7203, 553, 341, 520, 13682, 269, 32167, 559, 540, 4210, 5953, 332, 13682, 2672, 571, 329, 12852, 328, 8198, 16085, 342, 5953, 332, 13682, 717, 836, 611, 327, 732, 526, 571, 7203, 553, 341, 520, 13682, 1475, 30108, 540, 5917, 7159, 320, 28174, 5953, 660, 320, 8198, 16085, 342, 5953, 332, 13682, 717, 7315, 31488, 7701, 8830, 328, 1475, 305, 600, 752, 16194, 3534, 31494, 945, 729, 3742, 538, 2342, 8198, 16085, 342, 5953, 332, 13682, 717, 7315, 31488, 7701, 7203, 553, 341, 520, 13682, 1475, 294, 327, 3570, 1014, 1167, 2118, 540, 4210, 5953, 332, 13682, 25421, 333, 31488, 7701, 7203, 553, 341, 520, 13682, 269, 25334, 4601, 519, 1101, 4563, 3979, 6460, 547, 18420, 8198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29169, 957, 454, 763, 5506, 540, 4742, 9176, 609, 623, 5183, 269, 932, 1734, 540, 4742, 7783, 609, 7486, 952, 519, 957, 568, 29169, 563, 11328, 32152, 4638, 26697, 568, 513, 1455, 1505, 540, 15333, 4003, 1851, 15185, 945, 616, 1279, 1927, 269, 11109, 20335, 6251, 547, 1142, 824, 267, 4891, 616, 711, 12922, 547, 1205, 7783, 609, 513, 2068, 543, 3972, 1142, 824, 563, 1103, 1840, 267, 2367, 543, 2021, 798, 711, 899, 17915, 1282, 3023, 609, 513, 598, 3256, 563, 3674, 621, 2009, 547, 1205, 9176, 609, 606, 29169, 957, 888, 8133, 267, 596, 666, 1256, 1205, 9176, 676, 834, 335, 1638, 532, 257, 519, 4050, 529, 689, 519, 29199, 1354, 552, 329, 659, 1637, 269, 901, 568, 1813, 547, 27235, 6074, 2395, 543, 1875, 10687, 20869, 609, 519, 3652, 540, 2123, 9882, 563, 763, 1034, 4277, 3364, 568, 602, 519, 5354, 540, 22888, 834, 517, 519, 8038, 257, 616, 1500, 10502, 1317, 540, 519, 4027, 540, 29169, 4638, 26697, 269, 4107, 540, 519, 2021, 945, 267, 1282, 741, 10715, 267, 941, 6870, 676, 623, 5183, 693, 2547, 2899, 941, 9176, 563, 3963, 6379, 4386, 1310, 623, 5183, 912, 268, 634, 812, 1705, 711, 4894, 519, 4050, 529, 538, 942, 269, 589, 2178, 3368, 540, 8103, 568, 2352, 547, 1852, 2933, 269, 1411, 666, 581, 3735, 585, 513, 8237, 2034, 543, 513, 6749, 540, 5033, 523, 786, 2887, 883, 519, 29199, 269, 634, 1966, 568, 28978, 676, 16349, 552, 329, 659, 1637, 454, 268, 6348, 10687, 20869, 609, 2123, 9882, 269, 1306, 2259, 2982, 267, 6379, 4386, 1310, 7368, 4638, 26697, 269, 901, 4523, 1317, 519, 812, 1310, 519, 1101, 552, 329, 659, 1637, 568, 3983, 267, 610, 1705, 711, 11547, 519, 4050, 529, 693, 782, 269, 634, 1249, 568, 602, 1310, 552, 329, 659, 1637, 538, 519, 26642, 540, 519, 4050, 529, 543, 538, 519, 23443, 628, 571, 3788, 513, 1507, 2179, 540, 25761, 5714, 267, 799, 267, 950, 556, 9762, 716, 609, 22024, 4991, 883, 519, 29199, 269, 898, 568, 2556, 1310, 1142, 957, 547, 11547, 519, 4050, 529, 543, 4422, 547, 519, 16003, 585, 513, 1507, 454, 268, 4438, 28284, 267, 513, 6749, 540, 14203, 568, 2614, 547, 1205, 9176, 267, 865, 713, 1505, 540, 15333, 4003, 593, 5906, 2395, 568, 711, 5078, 563, 1326, 9176, 609, 29169, 957, 454, 763, 5506, 540, 4742, 9176, 609, 606, 29169, 957, 454, 2710, 4701, 3622, 798, 711, 2015, 623, 5183, 607, 513, 1505, 540, 15333, 4003, 269, 4340, 547, 2090, 5342, 676, 15185, 909, 547, 476, 1789, 1296, 945, 5781, 723, 3023, 267, 855, 798, 711, 1544, 6379, 267, 609, 623, 4338, 267, 6379, 4386, 1369, 519, 1101, 1032, 540, 519, 2078, 269, 22353, 267, 519, 1482, 4137, 568, 2808, 3339, 585, 4891, 4058, 1453, 563, 6097, 547, 930, 2090, 267, 519, 5506, 540, 17748, 609, 623, 5183, 568, 476, 272, 281, 1839, 269, 21302, 519, 2338, 267, 609, 3339, 26697, 267, 519, 5506, 540, 10703, 1516, 513, 1126, 568, 476, 272, 281, 1015, 538, 2635, 4891, 269, 634, 3017, 568, 1713, 267, 855, 476, 275, 856, 540, 476, 1911, 2021, 1831, 9176, 609, 623, 5183, 563, 763, 5506, 540, 4742, 9176, 609, 606, 29169, 957, 454, 11328, 32152, 957, 1282, 28284, 454, 763, 4960, 540, 3478, 9176, 568, 1360, 1164, 269, 901, 10039, 711, 1152, 547, 519, 1554, 540, 28284, 267, 855, 849, 513, 1906, 2395, 1354, 922, 12136, 269, 22353, 267, 476, 275, 2395, 1354, 28284, 543, 476, 272, 1554, 1310, 621, 1210, 519, 623, 5183, 1505, 267, 621, 568, 1732, 711, 547, 2149, 13951, 563, 29012, 267, 538, 476, 272, 16720, 540, 25761, 5714, 972, 616, 17542, 540, 14203, 267, 543, 585, 22289, 1152, 835, 568, 2614, 269, 769, 1840, 267, 1282, 28284, 267, 519, 1604, 540, 519, 29199, 568, 10483, 676, 6379, 269, 634, 22024, 568, 1360, 1471, 32654, 543, 1471, 32654, 267, 621, 9985, 6585, 14203, 563, 1103, 519, 840, 5498, 5443, 5714, 849, 3568, 14203, 267, 799, 13788, 519, 29199, 269, 634, 8458, 540, 4742, 513, 3993, 616, 1360, 1164, 267, 2523, 1310, 7368, 4638, 26697, 267, 950, 851, 540, 519, 6079, 3788, 538, 519, 23443, 628, 571, 543, 538, 519, 26642, 540, 519, 4050, 529, 563, 11328, 32152, 957, 1282, 28284, 454, 3674, 621, 2009, 547, 1205, 7486, 609, 606, 29169, 957, 888, 268, 1411, 666, 1205, 7486, 689, 1022, 4638, 3346, 269, 901, 568, 2009, 1282, 1387, 267, 5711, 543, 21420, 3023, 269, 2311, 519, 1482, 942, 621, 568, 711, 2556, 547, 968, 21129, 880, 892, 538, 519, 7649, 563, 268, 3502, 1152, 14203, 568, 513, 15298, 540, 5563, 267, 621, 568, 22024, 267, 519, 840, 5498, 17660, 5714, 543, 1256, 519, 18508, 602, 568, 593, 519, 2212, 540, 519, 4050, 529, 563, 268, 1403, 596, 616, 711, 4058, 513, 6379, 267, 543, 723, 3023, 609, 513, 4351, 7649, 267, 538, 1022, 2013, 267, 798, 711, 946, 519, 623, 5183, 1505, 454, 268, 12344, 646, 786, 4688, 689, 6379, 267, 855, 596, 666, 1831, 7783, 1360, 3533, 563, 22746, 14471, 949, 581, 8659, 538, 22024, 543, 840, 5498, 332, 1400, 5714, 912, 268, 631, 2313, 7741, 543, 17228, 454, 268, 24295, 2281, 454, 1607, 568, 1175, 513, 1507, 1592, 540, 5563, 602, 666, 581, 13603, 909, 267, 6870, 676, 623, 5183, 609, 513, 24928, 610, 513, 4351, 7649, 563, 1326, 7783, 609, 606, 29169, 957, 454, 4668, 292, 302, 281, 634, 8594, 540, 623, 5183, 454, 19102, 2084, 569, 267, 519, 2262, 968, 327, 1301, 995, 892, 538, 6935, 547, 623, 4338, 666, 581, 4862, 689, 13500, 269, 901, 568, 1813, 547, 519, 538, 1260, 921, 28467, 540, 17915, 267, 519, 812, 814, 547, 1589, 782, 519, 942, 827, 519, 942, 547, 1349, 519, 4050, 529, 563, 268, 16723, 9636, 269, 16890, 666, 711, 4628, 32696, 538, 6612, 269, 1358, 616, 711, 5391, 23306, 2394, 519, 1439, 454, 268, 634, 7872, 540, 14382, 22807, 269, 4438, 519, 623, 5183, 267, 519, 17150, 14189, 568, 711, 4628, 4389, 267, 513, 6712, 540, 519, 14203, 3788, 3330, 269, 901, 5012, 547, 24715, 566, 543, 519, 18735, 540, 4551, 269, 476, 2004, 260, 540, 2367, 945, 7985, 689, 14382, 22807, 723, 1185, 4638, 3346, 609, 623, 5183, 585, 513, 1279, 942, 563, 268, 476, 2004, 260, 540, 2021, 1210, 606, 29169, 957, 798, 711, 1205, 606, 610, 326, 11047, 269, 22353, 267, 519, 4807, 568, 8886, 762, 267, 782, 519, 942, 936, 1740, 539, 563, 268, 6764, 582, 775, 543, 26983, 454, 5793, 32152, 957, 585, 513, 812, 454, 3674, 621, 2009, 547, 1205, 9176, 609, 519, 29169, 957, 281, 8039, 454, 18800, 338, 827, 623, 5183, 1585, 269, 5808, 568, 18822, 267, 855, 2576, 568, 711, 1360, 269, 27051, 476, 736, 15185, 856, 540, 476, 1911, 8026, 623, 4338, 941, 9176, 585, 476, 1321, 3275, 1310, 519, 1376, 540, 513, 2078, 563, 18131, 4063, 602, 519, 5506, 540, 17748, 4679, 538, 4758, 4332, 267, 2094, 519, 17818, 12324, 568, 1930, 811, 9244, 1813, 547, 3105, 24570, 269, 22353, 267, 519, 14203, 3362, 8813, 883, 519, 19786, 269, 4340, 547, 7189, 267, 519, 5506, 540, 3478, 9176, 568, 476, 1428, 268, 2004, 18336, 6097, 569, 267, 952, 596, 798, 711, 1544, 1453, 267, 3442, 1776, 1505, 540, 15333, 4003, 269, 901, 949, 581, 513, 521, 704, 6193, 10537, 15074, 610, 17441, 21447, 563, 1326, 9176, 609, 29169, 957, 281, 8039, 454, 396, 507, 4138, 11714, 17095, 3378, 27671, 11012, 6459, 7846, 10948, 3522, 3264, 14359, 3264, 11714, 13150, 7846, 10528, 3522, 13953, 16021, 11714, 14359, 3264, 13194, 3522, 27569, 4138, 27569, 12811, 21162, 13953, 10780, 17201, 13833, 26281, 17095, 32648, 25000, 7549, 4344, 11012, 14359, 3264, 13194, 20265, 7549, 21134, 20500, 3522, 9261, 4138, 269, 2843, 510, 25986, 7549, 30935, 13077, 13194, 4138, 31224, 31502, 15800, 4709, 32553, 3264, 7549, 30530, 3264, 13953, 16068, 10948, 12811, 9841, 11714, 9924, 4736, 30718, 4138, 13953, 563, 396, 501, 3522, 16648, 3264, 16417, 9261, 12811, 20046, 9841, 24893, 3264, 16417, 13194, 10780, 16417, 13194, 21268, 8563, 19277, 4138, 8563, 1107, 11714, 5284, 371, 9261, 5284, 370, 21170, 2843, 375, 4138, 888, 396, 508, 9686, 17221, 9261, 15800, 13194, 11012, 3522, 9261, 9924, 17153, 15800, 13194, 8563, 3264, 13150, 21162, 17153, 30935, 27569, 4138, 4344, 21162, 17153, 11012, 16417, 9686, 13150, 8563, 16068, 4344, 14359, 3264, 21833, 3264, 20977, 16021, 23783, 4709, 26281, 25338, 3264, 16417, 9261, 12811, 21170, 13150, 4138, 1107, 16044, 491, 26580, 10780, 16417, 13194, 21268, 8563, 19277, 4138, 8563, 269, 2843, 507, 3378, 20413, 4709, 22147, 4138, 17153, 15800, 4709, 16021, 16417, 4736, 7846, 20046, 11714, 5284, 379, 4814, 25974, 281, 16938, 9261, 5284, 370, 21170, 2843, 375, 4138, 30935, 16648, 3264, 16417, 9261, 12811, 20046, 9841, 11012, 10780, 16417, 13194, 21268, 8563, 19277, 4138, 8563, 21134, 286, 14872, 454, 21132, 9755, 3409, 602, 519, 10727, 540, 4027, 568, 909, 547, 476, 4200, 269, 280, 10065, 1809, 476, 271, 269, 272, 260, 6818, 267, 543, 7928, 1272, 2984, 827, 875, 1352, 3893, 9176, 609, 513, 598, 3256, 269, 1924, 1018, 781, 519, 4308, 888, 22818, 519, 2601, 6013, 538, 922, 11234, 946, 610, 4057, 2298, 1587, 286, 2913, 781, 1413, 693, 713, 3390, 538, 811, 1469, 543, 6430, 1946, 596, 666, 1205, 9176, 609, 513, 598, 3256, 563, 307, 1779, 827, 598, 3256, 10727, 454, 7197, 1004, 267, 2523, 538, 23024, 27624, 1762, 1004, 267, 616, 476, 1911, 260, 2386, 602, 7873, 1682, 616, 6325, 269, 1809, 713, 568, 811, 5708, 6994, 23924, 543, 2123, 4978, 563, 1103, 1249, 267, 1256, 1346, 5528, 2854, 593, 519, 11183, 540, 519, 1587, 910, 476, 4200, 260, 4027, 10018, 910, 616, 7184, 22801, 269, 4340, 547, 519, 5767, 7194, 267, 519, 10727, 540, 4027, 540, 7873, 1682, 689, 13311, 26691, 568, 693, 1034, 476, 4817, 9077, 543, 519, 5934, 568, 476, 2004, 10065, 1924, 267, 519, 5506, 540, 3478, 9176, 609, 513, 598, 3256, 6818, 543, 568, 3833, 1164, 563, 1607, 568, 711, 513, 1289, 547, 10205, 519, 834, 326, 636, 2580, 711, 693, 782, 269, 769, 1483, 1272, 267, 3388, 568, 1454, 811, 5294, 24191, 281, 1169, 2034, 7008, 1281, 711, 1981, 4742, 3237, 267, 865, 723, 3023, 1210, 3735, 343, 4027, 269, 2991, 782, 267, 1100, 15333, 4003, 786, 2285, 513, 476, 1911, 260, 10018, 540, 4027, 267, 8259, 540, 1576, 621, 568, 711, 10322, 559, 1944, 835, 540, 519, 4891, 563, 3682, 339, 1254, 609, 29169, 4638, 26697, 610, 1776, 834, 11499, 257, 1505, 568, 476, 4037, 9077, 543, 1454, 1447, 563, 8133, 267, 972, 616, 824, 2409, 543, 1797, 540, 4027, 267, 855, 519, 598, 3256, 666, 1869, 2149, 1996, 16770, 10299, 3676, 543, 15978, 563, 4415, 519, 2626, 547, 519, 2243, 281, 968, 3674, 621, 2009, 547, 1205, 9176, 676, 1373, 6870, 676, 513, 598, 3256, 9495, 910, 649, 23125, 621, 856, 269, 3767, 649, 991, 547, 1174, 519, 2601, 585, 971, 834, 4532, 6342, 8487, 22818, 513, 4807, 2968, 9176, 609, 513, 598, 3256, 998, 22293, 540, 519, 3652, 585, 922, 946, 269, 9215, 454, 2005, 1131, 723, 1044, 971, 2241, 2798, 267, 543, 789, 666, 968, 921, 848, 892, 609, 1079, 17446, 593, 519, 14859, 269, 634, 5354, 10714, 873, 267, 543, 1287, 789, 616, 14281, 281, 968, 1692, 1223, 596, 1205, 9176, 609, 513, 598, 3256, 9495, 563, 1103, 1931, 711, 547, 581, 1851, 891, 968, 331, 13806, 3283, 5608, 649, 11349, 606, 968, 1410, 3250, 550, 2875, 892, 538, 7873, 1682, 563, 1692, 547, 3442, 513, 598, 3256, 912, 268, 2290, 540, 519, 1360, 1101, 2798, 594, 1616, 547, 5031, 568, 519, 6718, 540, 10733, 269, 769, 938, 942, 267, 972, 616, 1082, 9513, 2798, 267, 855, 621, 568, 1732, 547, 6718, 5370, 998, 519, 26849, 5832, 563, 268, 7994, 513, 4583, 6216, 540, 1587, 602, 814, 1044, 593, 519, 2344, 585, 513, 1279, 942, 269, 2913, 713, 598, 3256, 2754, 1942, 513, 2603, 267, 855, 519, 10727, 540, 4027, 786, 581, 1164, 563, 268, 1703, 616, 2984, 1141, 513, 8004, 3893, 9176, 609, 513, 598, 3256, 1813, 547, 16789, 4859, 269, 634, 1249, 568, 602, 968, 28237, 1297, 476, 272, 892, 630, 553, 621, 729, 1572, 538, 519, 28268, 264, 3112, 581, 6854, 538, 22836, 267, 530, 24548, 267, 602, 568, 267, 1141, 621, 666, 581, 18417, 8697, 563, 268, 10261, 547, 4444, 513, 1587, 602, 13352, 519, 2450, 540, 513, 4759, 269, 11109, 11751, 1932, 1507, 513, 2450, 910, 621, 786, 15237 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 7516, 267, 543, 2387, 323, 12801, 319, 568, 519, 4110, 540, 8856, 585, 519, 10325, 269, 634, 2139, 5232, 585, 1142, 562, 666, 581, 1336, 538, 519, 2372, 611, 6853, 12319, 780, 2971, 853, 9613, 5353, 920, 560, 2480, 1335, 525, 692, 763, 2387, 1805, 9613, 5353, 920, 560, 319, 14565, 616, 513, 2027, 2013, 540, 519, 2387, 1805, 9613, 319, 14565, 267, 4481, 2966, 585, 5610, 936, 519, 1770, 562, 1532, 718, 269, 1452, 14565, 616, 3957, 1310, 741, 31132, 267, 808, 269, 681, 269, 853, 9613, 543, 717, 269, 1530, 920, 560, 269, 634, 1739, 3009, 6256, 9727, 875, 547, 1711, 513, 2387, 1805, 9613, 5353, 920, 560, 319, 10325, 585, 513, 2016, 1297, 540, 7516, 1384, 3499, 7090, 454, 2675, 22351, 815, 22712, 6853, 269, 523, 337, 273, 269, 1805, 9613, 5353, 920, 560, 3799, 267, 834, 2862, 5602, 7884, 2080, 267, 2387, 333, 319, 568, 519, 1297, 540, 7516, 267, 543, 519, 5569, 2387, 257, 2862, 257, 319, 6920, 602, 649, 616, 1210, 519, 2034, 1826, 540, 2387, 1805, 9613, 5353, 920, 560, 319, 10325, 780, 2162, 13281, 2372, 611, 6853, 2480, 1335, 525, 692, 2414, 2327, 602, 519, 14565, 649, 1711, 616, 4977, 267, 649, 666, 1449, 873, 1210, 519, 2387, 11687, 318, 2675, 22351, 319, 1599, 3177, 538, 519, 2372, 611, 6853, 12319, 269, 901, 1599, 3217, 513, 10325, 543, 513, 10892, 607, 3403, 543, 11974, 519, 4110, 540, 8856, 540, 519, 10325, 1210, 519, 2387, 13765, 5091, 12801, 319, 1599, 780, 2080, 568, 606, 1383, 540, 875, 547, 1449, 513, 2387, 1805, 9613, 319, 10325, 1384, 3499, 7090, 454, 3698, 1449, 318, 2675, 22351, 263, 2675, 22351, 267, 547, 331, 2187, 825, 7682, 10325, 269, 9557, 6155, 6943, 2652, 11885, 269, 15615, 5038, 267, 10325, 20508, 454, 825, 7682, 10325, 269, 30135, 6155, 6943, 2652, 11885, 269, 15615, 5038, 267, 10325, 20508, 692, 825, 562, 815, 10325, 6155, 574, 454, 825, 4110, 815, 2638, 5091, 12801, 18692, 1038, 25754, 4874, 281, 22712, 6853, 269, 523, 337, 273, 269, 15759, 3433, 9638, 8432, 267, 10325, 13211, 1038, 11753, 318, 3000, 6706, 318, 1478, 318, 523, 337, 273, 2676, 1038, 562, 2676, 1038, 10325, 6155, 12801, 1341, 476, 272, 2676, 1038, 547, 331, 284, 339, 565, 2676, 825, 12467, 825, 7682, 4110, 2652, 10325, 6155, 12801, 267, 834, 25332, 5703, 281, 15079, 567, 4397, 281, 15079, 2668, 8971, 18692, 1038, 4110, 267, 10325, 6155, 12801, 454, 825, 12467, 825, 2132, 692, 339, 565, 815, 476, 272, 269, 271, 324, 268, 1691, 454, 2675, 22351, 815, 22712, 6853, 269, 523, 337, 273, 269, 1805, 9613, 5560, 574, 318, 267, 4110, 994, 11687, 318, 2675, 22351, 263, 2675, 22351, 267, 547, 331, 994, 7884, 1103, 713, 1383, 267, 649, 1101, 2638, 602, 519, 2798, 543, 12035, 540, 519, 10325, 616, 540, 1826, 2387, 31596, 269, 15615, 5038, 18269, 1284, 1287, 946, 519, 2387, 13765, 5091, 12801, 319, 1599, 547, 13182, 602, 519, 4110, 540, 8856, 540, 519, 10325, 568, 607, 4397, 269, 634, 2387, 15759, 3433, 318, 3000, 6706, 318, 1478, 318, 523, 337, 273, 319, 1599, 568, 513, 25961, 1599, 3177, 676, 2372, 611, 6853, 585, 4152, 5301, 780, 2162, 10390, 692, 1103, 713, 1837, 267, 649, 723, 8268, 519, 946, 540, 2372, 611, 6853, 585, 10230, 5610, 936, 519, 1770, 562, 17898, 1877, 543, 562, 1532, 718, 269, 1284, 723, 5941, 519, 2387, 1805, 9613, 319, 543, 2387, 1805, 9613, 5353, 920, 560, 319, 14565, 543, 7152, 875, 547, 1711, 543, 1449, 891, 14565, 1210, 5124, 269, 2060, 713, 1702, 267, 1053, 1058, 581, 2111, 547, 4019, 2372, 611, 6853, 547, 4194, 513, 3099, 540, 10230, 5610, 2042, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 9613, 3799, 267, 834, 278, 268, 274, 320, 19823, 476, 272, 269, 271, 324, 268, 1691, 264, 585, 562, 538, 1496, 274, 267, 476, 275, 267, 476, 277, 27663, 825, 1341, 27883, 15153, 6853, 269, 523, 337, 273, 269, 1805, 9613, 3799, 267, 834, 280, 268, 272, 321, 19823, 476, 272, 269, 271, 324, 268, 1691, 264, 585, 562, 538, 1496, 275, 267, 476, 276, 267, 476, 277, 27663, 825, 1341, 27883, 15153, 6853, 269, 523, 337, 273, 269, 1805, 9613, 3799, 267, 834, 1556, 268, 272, 320, 19823, 476, 272, 269, 271, 324, 268, 1691, 264, 585, 562, 538, 1496, 274, 267, 476, 275, 27663, 825, 1341, 27883, 15153, 6853, 269, 523, 337, 273, 269, 1805, 9613, 3799, 267, 834, 1556, 268, 272, 321, 19823, 476, 272, 269, 271, 324, 268, 1691, 264, 585, 562, 538, 1496, 274, 267, 476, 275, 267, 476, 276, 27663, 825, 1341, 27883, 15153, 6853, 269, 523, 337, 273, 269, 1805, 9613, 5353, 920, 560, 3799, 267, 834, 2862, 19823, 476, 272, 269, 271, 324, 268, 1691, 264, 585, 562, 538, 2039, 263, 273, 267, 476, 277, 13580, 2676, 994, 3698, 1449, 318, 2675, 22351, 263, 2675, 22351, 267, 547, 331, 2187, 825, 7682, 10325, 269, 9557, 6155, 6943, 2652, 11885, 269, 15615, 5038, 267, 10325, 20508, 454, 825, 7682, 10325, 269, 30135, 6155, 6943, 2652, 11885, 269, 15615, 5038, 267, 10325, 20508, 692, 825, 562, 815, 10325, 6155, 574, 454, 825, 4110, 815, 2638, 5091, 12801, 18692, 1038, 25754, 4874, 281, 22712, 6853, 269, 523, 337, 273, 269, 15759, 3433, 9638, 8432, 267, 10325, 13211, 1038, 11753, 318, 3000, 6706, 318, 1478, 318, 523, 337, 273, 2676, 1038, 562, 2676, 1038, 10325, 6155, 12801, 1341, 476, 272, 2676, 1038, 547, 331, 284, 339, 565, 2676, 825, 12467, 825, 7682, 4110, 2652, 10325, 6155, 12801, 267, 834, 25332, 5703, 281, 15079, 567, 4397, 281, 15079, 2668, 8971, 18692, 1038, 4110, 267, 10325, 6155, 12801, 454, 825, 12467, 825, 2132, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 3897, 318, 815, 476, 276, 454, 825, 1948, 22712, 6853, 4318, 274, 337, 273, 20481, 263, 15153, 6853, 269, 523, 337, 273, 269, 1805, 9613, 5560, 574, 318, 267, 1412, 276, 268, 272, 320, 30670, 1394, 754, 8782, 26404, 330, 5073, 825, 10325, 318, 815, 22712, 6853, 269, 523, 337, 273, 269, 1805, 9613, 5560, 574, 318, 267, 834, 1556, 268, 272, 321, 5602, 825, 1449, 318, 2675, 22351, 263, 2675, 22351, 318, 267, 476, 272, 269, 271, 324, 268, 1691, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10019, 4846, 547, 7273, 10227, 3953, 269, 278, 1626, 2568, 2008, 347, 1691, 269, 5952, 4846, 547, 7273, 10227, 3953, 269, 278, 4343, 4792, 2008, 347, 1691, 269, 10436, 4846, 547, 7273, 10227, 3953, 269, 31318, 7597, 2008, 347, 1691, 269, 9262, 4846, 547, 7273, 10227, 3953, 269, 4281, 273, 10619, 2008, 347, 1691, 269, 6434, 4846, 547, 7273, 10227, 3953, 269, 3199, 275, 4281, 2008, 347, 1691, 269, 8660, 4846, 547, 7273, 10227, 3953, 269, 279, 2918, 10695, 2008, 347, 1691, 269, 280, 4846, 547, 7273, 10227, 3953, 269, 279, 4366, 6434, 2008, 347, 1691, 269, 11011, 4846, 547, 7273, 10227, 3953, 269, 279, 3583, 10844, 2008, 347, 1691, 269, 10844, 4846, 547, 7273, 10227, 3953, 269, 8660, 273, 9032, 2008, 347, 1691, 269, 11152, 4846, 547, 7273, 10227, 3953, 269, 280, 1428, 6349, 2008, 347, 1691, 269, 11463, 4846, 547, 7273, 10227, 3953, 269, 280, 4391, 6187, 2008, 347, 1691, 269, 4817, 4846, 547, 7273, 10227, 3953, 269, 4817, 280, 1556, 2008, 347, 1691, 269, 9834, 4846, 547, 7273, 10227, 3953, 269, 7176, 272, 1428, 2008, 347, 1691, 269, 9032, 4846, 547, 7273, 10227, 3451, 269, 19740, 736, 2008, 347, 1691, 269, 7176, 4846, 547, 7273, 10227, 3451, 269, 28276, 1839, 2008, 347, 1691, 269, 4200, 4846, 547, 7273, 10227, 3451, 269, 271, 5325, 3066, 2008, 347, 1428, 4846, 547, 7273, 10227, 3451, 269, 6187, 280, 4097, 347, 0, 17220, 4262, 6808, 3096, 621, 547, 1921, 1063, 519, 3345, 7256, 543, 519, 27397, 7256, 267, 3976, 9494, 7366, 540, 5195, 540, 3606, 2951, 942, 1472, 16862, 267, 543, 519, 1644, 1164, 3790, 540, 6283, 269, 769, 519, 7013, 2127, 519, 3345, 7256, 781, 3178, 568, 1447, 982, 476, 5611, 10264, 630, 2004, 544, 1070, 855, 538, 519, 5087, 621, 19527, 1524, 547, 827, 476, 7785, 10264, 630, 1220, 544, 1040, 5244, 4786, 269, 5192, 547, 917, 7256, 2622, 899, 2760, 1354, 609, 938, 6288, 4786, 256, 667, 32052, 26183, 4696, 24315, 298, 30684, 269, 634, 1715, 22810, 10003, 19651, 27484, 20088, 2561, 256, 7490, 4063, 267, 1813, 547, 5046, 268, 866, 267, 9102, 6288, 7851, 786, 711, 581, 2139, 1282, 707, 3643, 563, 20373, 281, 901, 4786, 2982, 1141, 3345, 7256, 568, 4092, 593, 519, 2622, 4786, 563, 13328, 4786, 5087, 4262, 269, 634, 3345, 7256, 568, 513, 4262, 540, 519, 9533, 7909, 4092, 1063, 4279, 6628, 630, 8777, 1633, 543, 10430, 1070, 16862, 267, 16157, 267, 5125, 267, 519, 13814, 267, 19934, 543, 5333, 269, 2304, 552, 701, 597, 545, 630, 528, 834, 338, 3559, 325, 8442, 4262, 593, 519, 3864, 18626, 15808, 267, 621, 13462, 547, 519, 5836, 998, 519, 2296, 19305, 538, 519, 5045, 543, 519, 21785, 7256, 538, 519, 5087, 269, 898, 568, 811, 982, 476, 280, 3583, 21240, 630, 7785, 11465, 264, 1279, 543, 476, 276, 3199, 21240, 630, 11740, 269, 2622, 744, 10895, 10934, 2982, 519, 4087, 540, 12084, 543, 15798, 540, 519, 1158, 269, 5192, 1592, 543, 2143, 1344, 593, 1158, 12084, 907, 3345, 543, 3162, 3013, 543, 7909, 807, 269, 898, 10742, 519, 9533, 7909, 693, 15729, 269, 7977, 814, 865, 1454, 547, 1294, 543, 798, 267, 689, 31562, 538, 519, 32595, 267, 519, 8235, 10588, 540, 519, 5087, 267, 519, 8978, 543, 31042, 4872, 540, 23509, 267, 30912, 267, 10878, 1255, 267, 590, 1329, 320, 267, 5695, 514, 543, 24131, 267, 9381, 4872, 543, 844, 5593, 2370, 14252, 267, 543, 540, 1576, 7507, 267, 543, 519, 10513, 6423, 630, 309, 26896, 264, 907, 634, 18849, 6879, 1901, 25345, 540, 7977, 267, 14178, 883, 519, 3844, 11335, 7256, 568, 513, 27726, 267, 29990, 2197, 540, 3274, 563, 763, 9477, 1062, 2636, 547, 3313, 519, 1699, 2990, 540, 707, 8708, 593, 519, 1158, 4786, 543, 11887, 519, 2823, 543, 519, 942, 6170, 538, 2823, 540, 20316, 269, 6154, 697, 18185, 6787, 596, 991, 2823, 547, 2823, 610, 7450, 547, 7450, 3028, 267, 3442, 1022, 1747, 540, 15205, 543, 3803, 10278, 543, 1205, 519, 5618, 6609, 540, 8905, 267, 18302, 942, 543, 606, 269, 12910, 11659, 269, 7909, 1107, 519, 2185, 547, 5722, 4102, 3957, 4703, 540, 1216, 538, 519, 2622, 7909, 267, 782, 540, 799, 723, 834, 302, 4117, 257, 538, 519, 2012, 269, 6423, 645, 7451, 540, 519, 12084, 585, 3877, 5919, 7256, 814, 1896, 8847, 15545, 589, 8589, 4262, 568, 513, 6498, 540, 606, 5836, 267, 13148, 20583, 676, 10195, 267, 2895, 25100, 31310, 267, 610, 4050, 1231, 10358, 267, 11105, 547, 610, 4922, 1930, 547, 519, 1930, 5836, 693, 519, 2627, 267, 543, 5924, 22112, 676, 26747, 269, 901, 4786, 2982, 772, 28967, 1846, 4503, 538, 519, 3345, 7256, 1282, 24918, 269, 5565, 772, 28967, 1846, 4682, 7508, 538, 519, 3345, 7256, 1282, 519, 2112, 282, 772, 268, 7918, 630, 298, 337, 341, 298, 696, 269, 717, 6686, 333, 614, 918, 28852, 10458, 264, 538, 476, 3707, 271, 543, 772, 268, 3583, 273, 630, 298, 337, 341, 298, 696, 269, 16423, 7304, 6686, 323, 9528, 13153, 15887, 523, 879, 264, 538, 476, 3707, 273, 269, 5637, 616, 3254, 593, 519, 4786, 269, 769, 1034, 2959, 772, 268, 9083, 568, 7396, 607, 7508, 538, 519, 3345, 7256, 855, 1352, 729, 4503, 22236, 540, 8581, 593, 476, 272, 563, 24961, 2986, 3345, 3013, 282, 10934, 2986, 3162, 3013, 282, 10934, 2986, 6239, 3013, 282, 10934, 2986, 5664, 5101, 282, 10934, 2986, 3162, 5101, 5607, 282, 10934, 2986, 19778, 282, 10934, 2986, 11848, 17781, 282, 9612, 5680, 269, 2622, 7256, 623, 2176, 10934, 19478, 901, 18248, 1607, 256, 9523, 547, 12108, 9523, 547, 9365, 9523, 547, 26964, 269, 5851, 269, 4427, 18285, 547, 281, 24762, 630, 4263, 558, 264, 2622, 4786, 540, 12084, 543, 15798, 267, 16019, 16879, 269, 8437, 593, 1657, 4786, 547, 2070, 2362, 6571, 3239, 907, 4563, 7256, 5788, 12144, 7256, 5788, 23529, 7256, 5788, 13323, 540, 19892, 5788, 6997, 30786, 7256, 5788, 11335, 7256, 5788, 3345, 7256, 5788, 21785, 7256, 5788, 590, 1173, 27591, 7256, 269, 7414, 7909, 15545, 6168, 3345, 7256, 281, 634, 12700, 281, 9351, 281, 476, 13136, 267, 1822, 13483, 11465, 630, 31816, 267, 1822, 13483, 5998, 1040, 7665, 269, 3178, 281, 476, 10384, 544, 630, 273, 267, 4968, 10264, 1040, 18831, 281, 16157, 267, 16862, 267, 5125, 267, 519, 13814, 267, 19934, 267, 5333, 563, 763, 3345, 7256, 568, 513, 1560, 540, 1216, 11303, 676, 519, 1739, 2477, 281, 1703, 616, 2450, 762, 10195, 543, 2895, 25100, 31310, 1472, 519, 8728, 540, 519, 3345, 7256, 267, 1519, 519, 2107, 330, 2284, 267, 2701, 339, 1633, 543, 2605, 529, 1014, 11866, 269, 634, 2622, 13262, 10934, 630, 310, 15551, 264, 568, 513, 2518, 28094, 540, 1344, 593, 519, 12933, 531, 1459, 6377, 2566, 2361, 9738, 2094, 476, 1220, 280, 693, 519, 29581, 3128, 16379, 10418, 623, 1824, 17043, 717, 293, 313, 4436, 3194, 10418, 585, 2983, 657, 31190, 1369, 8791, 476, 273, 269, 277, 1530, 1143, 545, 32126, 543, 13262, 12197, 20193, 568, 513, 10319, 1788, 1063, 24243, 543, 2872, 602, 6663, 547, 21656, 519, 12933, 531, 2566, 4806, 543, 547, 1174, 519, 2566, 269, 17791, 10481, 2762, 779, 1863, 7317, 4427, 3405, 710, 595, 762, 10934, 568, 1759, 593, 938, 22265, 6820, 17020, 12296, 1382, 267, 543, 20186, 3742, 543, 9709, 26747, 10814, 1949, 543, 741, 13941, 10473, 269, 29922, 513, 10814, 593, 519, 4786, 16879, 610, 689, 519, 26747, 10814, 1592, 2488, 1569, 547, 519, 10814, 779, 9043, 267, 1519, 519, 10814, 779, 2012, 267, 4712, 16519, 28129, 630, 305, 12396, 264, 4266, 267, 3259, 267, 5411, 267, 3896, 563, 1607, 7256, 540, 774, 773, 1407, 7317, 1158, 4786, 2982, 6753, 585, 2798, 540, 1719, 971, 607, 856, 14006, 338, 267, 22403, 585, 1206, 267, 28994, 976, 267, 993, 15879, 1835, 919, 267, 678, 1497, 10881, 267, 2831, 267, 18535, 8255, 543, 811, 269, 5269, 946, 540, 5616, 3047, 781, 2143, 8608, 676, 21266, 1154, 519, 4786, 547, 4688, 513, 3501, 476, 274, 291, 2070, 610, 11362, 883, 9335, 7348, 585, 513, 476, 11740, 1995, 269, 9523, 707, 1650, 609, 519, 1158, 24627, 10934, 2982, 519, 4786, 540, 519, 1858, 799, 1223, 1205, 27876, 952, 519, 1216, 1377, 14380, 547, 513, 1880, 15038, 269, 7256, 1377, 4473, 4786, 269, 24872, 2096, 13011, 4786, 267, 5836, 3178, 269, 6356, 540, 6820, 654, 9879, 543, 8693, 7827, 563, 303, 11823, 10934, 540, 519, 2622, 1744, 1144, 1657, 634, 4786, 1657, 568, 513, 2797, 4786, 540, 519, 1158, 10704, 593, 2342, 543, 4000, 269, 898, 2982, 519, 4087, 540, 1034, 540, 519, 1158, 781, 2477, 543, 2882, 741, 4408, 1141, 2230, 2636, 269, 11724, 532, 513, 5180, 3618, 593, 513, 6366, 4786, 3340, 930, 23673, 540, 519, 13664, 2934, 1100, 2339, 875, 519, 4786, 568, 2944, 269, 966, 2752, 476, 274, 269, 276, 4113, 276, 262, 292, 630, 1001, 276, 264, 4888, 26214, 3201, 667, 4488, 3918, 17955, 476, 279, 262, 22478, 269, 10934, 609, 808, 5308, 300, 22647, 282, 7348, 269, 16661, 282, 7256, 29485, 282, 4498, 321, 2293, 282, 570, 10537, 17361, 282, 22505, 0, 12895, 1259, 585, 707, 2978, 1867, 543, 875, 596, 666, 798, 621, 454, 763, 1867, 568, 13401, 14350, 593, 589, 275, 9212, 593, 835, 2427, 540, 519, 6656, 610, 593, 5595, 9450, 9212, 540, 519, 2875, 779, 21641, 269, 634, 1867, 1058, 581, 16517, 267, 1850, 1043, 13002, 1510, 1210, 31120, 267, 4849, 585, 4122, 7608, 6698, 269, 18614, 1500, 593, 513, 2780, 616, 711, 7608, 267, 609, 519, 9868, 540, 519, 2140, 2985, 563, 763, 1867, 568, 6537, 909, 2687, 547, 519, 1739, 10325, 563, 763, 3483, 540, 519, 960, 630, 326, 1508, 538, 519, 4808, 585, 8047, 960, 1916, 272, 269, 634, 2140, 540, 519, 1995, 563, 272, 269, 272, 269, 6092, 543, 1239, 540, 519, 4603, 563, 763, 6609, 540, 519, 1576, 540, 519, 1995, 568, 2016, 538, 1896, 5220, 267, 543, 621, 1590, 581, 3144, 883, 454, 1700, 3830, 540, 519, 5114, 896, 1353, 3248, 1700, 5114, 2175, 630, 935, 1417, 1674, 540, 6878, 267, 2837, 267, 3092, 1421, 9878, 3007, 547, 519, 1526, 3599, 540, 891, 6724, 610, 741, 1689, 11850, 1700, 5933, 540, 519, 4603, 630, 1410, 6984, 556, 8586, 519, 5528, 585, 7900, 519, 4603, 689, 519, 8261, 547, 519, 1867, 1916, 1700, 519, 4767, 1267, 630, 10233, 1689, 267, 13247, 267, 3154, 5305, 1916, 2690, 1383, 267, 519, 5311, 540, 6881, 949, 581, 607, 5205, 912, 2108, 1729, 7747, 519, 13829, 2507, 649, 946, 519, 5114, 540, 5872, 2507, 7536, 2108, 3725, 9146, 2175, 281, 512, 23263, 815, 1526, 282, 595, 815, 1526, 282, 4957, 2687, 547, 3349, 269, 272, 269, 968, 298, 22473, 274, 10878, 14298, 476, 273, 476, 274, 595, 454, 892, 519, 15331, 2882, 519, 1739, 3268, 281, 2560, 9232, 454, 892, 519, 28088, 630, 516, 9146, 942, 610, 930, 824, 9936, 264, 729, 6592, 676, 519, 5920, 540, 513, 4544, 2681, 540, 519, 3070, 630, 4134, 3712, 2610, 267, 5920, 540, 3154, 18616, 267, 3092, 8094, 269, 519, 4603, 4578, 568, 4843, 538, 519, 1867, 607, 7515, 610, 513, 5618, 6609, 540, 519, 1689, 538, 519, 454, 1410, 4156, 1129, 540, 519, 5114, 563, 272, 269, 273, 269, 4578, 6726, 566, 543, 2079, 563, 24876, 519, 9819, 12596, 538, 4937, 1106, 267, 952, 2556, 267, 14574, 519, 5311, 540, 741, 7004, 267, 543, 1118, 2143, 9273, 267, 2921, 883, 2272, 519, 10155, 540, 519, 2418, 547, 1628, 519, 21370, 13829, 269, 1280, 3652, 540, 28321, 12125, 267, 1294, 454, 514, 25715, 476, 273, 269, 12315, 4267, 547, 519, 2055, 6659, 1282, 543, 693, 519, 1439, 540, 519, 4603, 563, 1103, 1239, 2079, 267, 596, 1058, 912, 1700, 3715, 519, 2470, 540, 519, 4767, 2078, 3248, 1700, 1265, 856, 519, 2601, 585, 519, 4767, 13829, 3248, 1607, 568, 513, 2110, 5048, 827, 519, 1267, 609, 2609, 540, 31633, 269, 634, 13829, 3964, 538, 519, 4603, 593, 519, 1383, 540, 513, 1808, 5114, 568, 4843, 538, 519, 3932, 676, 454, 2102, 1968, 1242, 2035, 269, 1280, 1383, 912, 10527, 13829, 630, 1492, 2470, 540, 519, 1764, 267, 5106, 267, 3092, 4700, 2507, 7536, 17606, 568, 3254, 602, 2507, 7536, 10527, 2164, 540, 519, 4603, 616, 5812, 630, 20813, 3305, 3092, 4700, 609, 519, 7811, 454, 28832, 630, 18721, 267, 6240, 267, 4341, 267, 3092, 12175, 7536, 9172, 9955, 547, 1449, 2055, 2016, 693, 519, 1439, 540, 519, 1867, 269, 17130, 2175, 454, 732, 711, 17370, 9287, 267, 543, 6114, 616, 2016, 2687, 547, 519, 3044, 10325 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23646, 1524, 519, 11178, 282, 21973, 568, 5156, 547, 581, 30450, 593, 547, 519, 11178, 2281, 32485, 519, 19718, 540, 22752, 267, 8754, 519, 12012, 2504, 540, 519, 11178, 9449, 630, 307, 275, 1916, 29797, 1054, 21633, 630, 1478, 5562, 11178, 264, 568, 513, 2783, 538, 799, 519, 11178, 14189, 7472, 606, 25983, 958, 1970, 2179, 540, 11178, 9449, 269, 3509, 4713, 1267, 538, 30847, 267, 799, 949, 2047, 610, 18549, 4125, 519, 11178, 14189, 269, 5221, 11178, 9449, 5540, 2208, 267, 1646, 267, 543, 1082, 10408, 3157, 267, 16283, 11178, 9449, 814, 7839, 4539, 585, 519, 1560, 563, 299, 5271, 18333, 6918, 710, 14342, 2097, 538, 476, 1321, 1114, 9342, 267, 543, 621, 568, 1898, 547, 1491, 873, 538, 513, 5812, 6073, 1169, 1554, 269, 589, 9570, 540, 11178, 9449, 602, 568, 1932, 1970, 949, 3111, 547, 2061, 23822, 618, 540, 519, 11178, 14189, 267, 1450, 2589, 540, 30847, 547, 6414, 267, 543, 581, 2404, 609, 2799, 16796, 8501, 2157, 267, 799, 949, 2333, 519, 1981, 585, 19473, 29912, 543, 2295, 2068, 269, 589, 9570, 602, 568, 1932, 1164, 666, 2014, 2589, 540, 5409, 628, 21633, 267, 1711, 7050, 8833, 593, 519, 2295, 267, 543, 1291, 547, 606, 2799, 1981, 540, 3384, 21404, 563, 1320, 8557, 4345, 4016, 547, 6553, 540, 519, 11178, 14189, 269, 700, 8233, 7514, 6776, 11178, 4345, 568, 513, 2783, 538, 799, 519, 6553, 568, 3361, 676, 513, 1880, 1826, 540, 3043, 1973, 1591, 1634, 607, 513, 9726, 22889, 269, 700, 8233, 7514, 6776, 11178, 4345, 568, 3226, 1455, 1310, 6379, 267, 543, 666, 1860, 909, 547, 476, 279, 260, 540, 2021, 1310, 789, 5838, 741, 4816, 269, 769, 713, 1826, 540, 11178, 4524, 972, 2356, 568, 513, 5409, 628, 8557, 5123, 630, 514, 799, 7050, 5666, 540, 11178, 9449, 13451, 856, 540, 519, 28332, 14189, 1070, 799, 568, 4553, 676, 513, 20968, 8557, 5123, 602, 666, 2063, 585, 909, 547, 3670, 3275, 269, 769, 519, 5354, 2021, 609, 9726, 7514, 6776, 11178, 4345, 267, 519, 11178, 5555, 7024, 547, 922, 3339, 1599, 267, 855, 972, 568, 513, 7872, 602, 519, 11178, 786, 2611, 896, 5562, 563, 288, 7484, 540, 11273, 3043, 10365, 5713, 909, 476, 279, 16936, 540, 4401, 12544, 7777, 602, 1082, 1004, 267, 2523, 840, 5443, 641, 30167, 2021, 267, 723, 8373, 3478, 2614, 540, 1547, 1809, 3478, 707, 6445, 568, 1271, 269, 968, 2252, 596, 1810, 1406, 267, 621, 666, 10556, 519, 2534, 540, 11476, 602, 3132, 11178, 10399, 2223, 3220, 269, 10557, 3081, 269, 630, 18131, 9907, 476, 866, 547, 476, 2004, 991, 476, 1240, 16936, 4401, 3232, 267, 1247, 2367, 543, 2021, 476, 7906, 543, 4587, 991, 476, 279, 16936, 1547, 994, 298, 27626, 286, 3143, 267, 855, 1810, 1406, 1491, 621, 538, 7110, 1106, 269, 774, 8557, 2550, 1058, 711, 723, 811, 982, 606, 3328, 3232, 5227, 6981, 540, 476, 15647, 547, 476, 11260, 2890, 31810, 540, 737, 27626, 829, 1554, 267, 3220, 269, 715, 553, 337, 3081, 269, 634, 5834, 540, 737, 27626, 538, 3536, 568, 3622, 711, 2614, 547, 2014, 513, 1966, 269, 1809, 513, 737, 27626, 23555, 666, 2270, 607, 1454, 607, 476, 4335, 2890, 31810, 267, 646, 3081, 269, 968, 17829, 7840, 547, 979, 2653, 593, 737, 27626, 616, 585, 1004, 945, 1810, 1406, 1174, 543, 1491, 1614, 29893, 829, 1554, 269, 1403, 596, 3548, 737, 27626, 2899, 513, 1554, 267, 602, 779, 711, 513, 1966, 3034, 7804, 269, 6723, 22219, 814, 13736, 4244, 4915, 585, 476, 4029, 1296, 609, 606, 8561, 593, 8156, 5312, 2068, 2175, 269, 1261, 4607, 1010, 15938, 22601, 689, 519, 2160, 540, 16713, 538, 853, 269, 8402, 543, 1010, 16362, 540, 15616, 18132, 545, 630, 291, 5861, 4700, 689, 8298, 534, 2160, 1141, 646, 21783, 3172, 320, 15921, 3288, 8775, 269, 1261, 4682, 593, 547, 4309, 1010, 16362, 540, 14844, 1755, 12949, 545, 6925, 630, 301, 8160, 6185, 4700, 689, 519, 1977, 14844, 1755, 12949, 545, 6481, 4659, 513, 6498, 540, 6601, 9807, 3557, 2160, 538, 11968, 13353, 267, 4993, 563, 2691, 594, 1101, 3459, 519, 2067, 2126, 1544, 585, 1250, 16991, 20968, 8557, 2783, 1250, 1283, 2947, 2589, 941, 9221, 1928, 630, 10972, 30938, 609, 1942, 13578, 8539, 1070, 9854, 267, 3965, 2530, 267, 7181, 13347, 267, 543, 4887, 8467, 269, 3143, 2339, 875, 1454, 1964, 594, 3893, 267, 594, 729, 1869, 13110, 269, 3958, 594, 1705, 711, 3207, 1134, 2901, 269, 20323, 267, 594, 4769, 1406, 1745, 1454, 1114, 269, 594, 3494, 519, 2601, 585, 602, 547, 581, 1317, 594, 729, 1152, 2921, 513, 6712, 540, 519, 5227, 2067, 9360, 267, 607, 1134, 607, 519, 1249, 602, 594, 1185, 1152, 4957, 930, 540, 1250, 2732, 269, 1879, 594, 2731, 3893, 3978, 827, 1818, 2242, 568, 950, 594, 3459, 547, 2731, 1294, 9283, 269, 4014, 713, 1281, 2154, 513, 1689, 538, 6197, 267, 594, 1745, 1454, 1732, 2221, 269, 634, 2067, 2126, 7014, 4847, 803, 547, 5490, 4514, 883, 519, 3597, 540, 519, 1966, 543, 2232, 621, 865, 602, 594, 786, 23248, 711, 991, 547, 581, 593, 891, 9360, 585, 519, 1964, 540, 1250, 1272, 269, 594, 723, 2907, 2759, 1394, 593, 930, 540, 1250, 9360, 2094, 1250, 2063, 1973, 960, 2164, 563, 2252, 707, 3023, 10399, 630, 652, 4088, 267, 1322, 6856, 821, 267, 19697, 264, 543, 29427, 10399, 630, 322, 677, 18066, 267, 667, 4047, 288, 264, 616, 856, 540, 3666, 267, 713, 666, 1118, 2597, 2530, 811, 2352, 269, 3131, 11948, 18108, 543, 22797, 267, 607, 1134, 607, 21110, 17282, 267, 666, 849, 2014, 513, 6521, 540, 2597, 547, 519, 17987, 267, 543, 1118, 2597, 2530, 811, 2352, 269, 19768, 540, 19697, 538, 2367, 543, 2021, 666, 849, 1118, 621, 9875, 547, 1628, 3170, 1532, 9506, 4887, 269, 1656, 29427, 20817, 666, 1118, 596, 13110, 267, 1447, 17841, 547, 11178, 2126, 267, 543, 1447, 2111, 547, 6336, 2597, 563, 288, 742, 559, 5573, 2598, 26918, 281, 1703, 616, 6402, 593, 713, 3135, 602, 666, 581, 3989, 607, 24988, 6402, 269, 901, 1797, 602, 594, 949, 4309, 513, 1507, 10243, 630, 520, 1100, 1942, 547, 596, 264, 952, 596, 6718, 1945, 950, 14467, 593, 519, 6402, 602, 1491, 596, 998, 547, 513, 1114, 3896, 269, 1635, 14467, 593, 519, 6402, 267, 596, 616, 538, 1100, 1259, 8078, 730, 547, 4444, 563, 8923, 8074, 281, 634, 1570, 593, 713, 3135, 568, 3177, 585, 21141, 5301, 1152, 543, 568, 711, 2564, 5796, 269, 11408, 5077, 707, 10629, 1354, 4098, 1022, 2732, 610, 3635, 1982, 563, 15648, 9736, 2661, 7749, 601, 17670, 3820, 0, 301, 4899, 4993, 568, 936, 16746, 513, 7372, 13091, 602, 1131, 547, 653, 548, 5656, 267, 28230, 1216, 543, 3154, 12992, 267, 543, 524, 23774, 548, 3560, 543, 10618, 1949, 267, 3744, 723, 19230, 563, 5445, 616, 7255, 827, 519, 15917, 1189, 674, 5435, 267, 799, 8255, 998, 18718, 1633, 593, 519, 7532, 2427, 540, 5842, 12770, 7345, 269, 1703, 616, 12194, 602, 513, 476, 278, 269, 271, 9588, 13091, 2059, 713, 13337, 910, 513, 9183, 13890, 538, 519, 5063, 3370, 15917, 310, 1600, 1867, 1107, 1131, 968, 22563, 770, 622, 892, 5989, 267, 6028, 7264, 538, 519, 7345, 1510, 1216, 585, 909, 547, 3670, 3275, 563, 763, 15917, 310, 1600, 1867, 267, 3812, 676, 519, 2475, 24959, 11752, 630, 4785, 14899, 1070, 14592, 513, 968, 1506, 13607, 16375, 2943, 23963, 10853, 892, 26841, 540, 519, 2621, 799, 1131, 1246, 513, 5458, 12152, 528, 593, 519, 15917, 1189, 674, 5435, 563, 4002, 3328, 267, 585, 519, 2250, 476, 1321, 2101, 16767, 593, 519, 13337, 519, 8884, 814, 1044, 827, 476, 5611, 1296, 267, 2285, 610, 1491, 476, 2568, 1296, 267, 519, 1867, 3081, 269, 634, 2063, 2101, 2680, 729, 476, 5611, 1296, 3516, 267, 3056, 3744, 547, 9959, 602, 513, 2101, 12152, 528, 568, 31873, 563, 30210, 2861, 1981, 17846, 4274, 30370, 661, 326, 1276, 328, 5143, 1715, 6406, 23910, 602, 835, 540, 519, 7887, 4220, 1131, 581, 547, 519, 1216, 3761, 269, 634, 3328, 7532, 5174, 599, 17055, 1131, 6336, 1216, 3028, 585, 3670, 4374, 543, 930, 585, 607, 1279, 607, 3670, 3275, 267, 519, 1867, 3081, 269, 898, 849, 25221, 827, 476, 14596, 1804, 11642, 602, 1131, 1267, 538, 1269, 1789, 16818, 630, 28462, 2641, 269, 279, 16818, 264, 2530, 563, 2108, 4322, 1216, 5121, 616, 1360, 2025, 543, 621, 779, 7543, 547, 979, 1394, 543, 27164, 7257, 891, 1949, 609, 13091, 11259, 10612, 267, 865, 596, 2461, 2469, 547, 723, 513, 2603, 540, 3441, 799, 1131, 1291, 547, 17522, 540, 3028, 2223, 16384, 1276, 328, 1767, 563, 28490, 596, 10093, 1406, 3893, 519, 1216, 547, 4339, 519, 11642, 1287, 596, 723, 513, 3510, 1141, 519, 9271, 689, 519, 3595, 1739, 2360, 1223, 581, 1360, 14042, 3034, 26596, 12770, 6836, 547, 5965, 585, 3441, 1739, 606, 13091, 538, 476, 5002, 277, 676, 519, 5137, 540, 606, 25581, 1062, 2966, 547, 6802, 4262, 1216, 689, 519, 7345, 952, 519, 18513, 1062, 8959, 563, 28490, 594, 941, 547, 1413, 693, 519, 14422, 594, 1131, 4440, 2161, 1216, 267, 6283, 267, 2792, 267, 1287, 596, 4076, 3893, 1379, 267, 3154, 543, 21137, 2223, 16384, 1276, 328, 1767, 563, 28490, 596, 2461, 6340, 827, 1272, 3515, 543, 5989, 267, 782, 540, 891, 1949, 616, 1360, 2565, 1107, 596, 666, 1406, 1413, 693, 835, 3076, 5202, 1062, 676, 3294, 596, 723, 547, 1413, 693, 782, 540, 873, 1927, 3034, 763, 1867, 10567, 602, 1256, 952, 782, 5656, 538, 5842, 12770, 7345, 5360, 1221, 609, 2679, 9479, 267, 476, 271, 269, 275, 260, 1223, 12900, 267, 476, 276, 260, 1223, 581, 22247, 547, 19582, 543, 476, 866, 260, 1223, 723, 11658, 946, 563, 10527, 2189, 4183, 540, 713, 13337, 568, 602, 621, 21986, 525, 998, 513, 3810, 10053, 4683, 1858, 2223, 16384, 1276, 328, 1767, 563, 2108, 10303, 519, 24373, 568, 2469, 547, 581, 1360, 4049, 543, 596, 786, 5732, 723, 2666, 5821, 2360, 594, 1589, 519, 3441, 786, 581, 3833, 14042, 3034, 3891, 3773, 281, 968, 2252, 596, 723, 1360, 267, 1360, 1804, 16767, 596, 666, 1406, 11574, 1996, 782, 519, 3441, 269, 1548, 596, 4126, 585, 568, 602, 596, 6922, 1047, 519, 3106, 2042, 543, 519, 10898, 1848, 0, 4629, 312, 3201, 589, 22552, 16688, 13965, 14298, 5746, 4953, 312, 1315, 13316, 11682, 5588, 302, 22244, 16576, 14473, 21614, 312, 3201, 589, 22552, 16688, 13965, 14298, 5746, 4953, 312, 1315, 13316, 11682, 5588, 302, 22244, 16576, 14473, 454, 3412, 704, 658, 13562, 13929, 25076, 267, 19864, 630, 303, 22701, 1070, 3624, 269, 901, 2616, 2218, 630, 514, 11584, 906, 693, 5580, 1318, 264, 729, 3710, 1282, 519, 30721, 19092, 630, 13893, 273, 264, 547, 7520, 1312, 24666, 5301, 543, 13837, 2130, 12445, 269, 898, 729, 2663, 1201, 26860, 538, 519, 3735, 476, 1704, 628, 2540, 676, 519, 20908, 7057, 269, 16952, 19730, 7405, 941, 24892, 676, 20908, 3726, 31485, 30544, 32040, 5006, 630, 14341, 274, 268, 12739, 279, 1070, 513, 674, 12661, 880, 17308, 543, 513, 2027, 25129, 547, 519, 29305, 5480, 3823, 519, 15494, 540, 519, 4457, 11706, 269, 14977, 11155, 4858, 515, 781, 1412, 9288, 2559, 3821, 262, 630, 14689, 279, 264, 1185, 513, 2178, 3310, 593, 32040, 5006, 543, 519, 1374, 540, 519, 7405, 269, 2368, 540, 519, 7405, 616, 2938, 693, 5580, 1318, 593, 1283, 540, 513, 15839, 3760, 563, 26329, 5305, 711, 2838, 269, 16296, 5305, 711, 2838, 269, 0, 17504, 11657, 11711, 454, 6826, 2386, 602, 596, 723, 606, 3498, 547, 1930, 713, 3758, 1826, 1354, 23842, 543, 5924, 11449, 563, 20797, 589, 10422, 269, 10334, 5999, 585, 270, 5228, 23720, 10334, 267, 476, 1556, 324, 630, 21589, 787, 994, 6637, 476, 2412, 281, 9978, 14362, 540, 10960, 4813, 543, 9577, 454, 2467, 616, 1079, 2694, 585, 513, 2698, 540, 476, 6924, 2055, 269, 12226, 3177, 543, 9286, 1210, 25204, 781, 12525, 16860, 563, 272, 269, 272, 13038, 16644, 4069, 5999, 281, 476, 8618, 2055, 454, 272, 269, 273, 9906, 9990, 7736, 6361, 268, 6637, 5999, 281, 476, 278, 2055, 454, 291, 17805, 568, 1196, 3386, 269, 0, 291, 2884, 776, 9360, 723, 1831, 1360, 2442, 607, 1004, 540, 1022, 2085, 1616, 547, 2087, 741, 1072, 269, 1284, 798, 711, 2141, 3548, 513, 2635, 2732, 543, 789, 666, 581, 1360, 3730, 547, 7110, 519, 8324, 543, 6886, 3728, 1426, 3668, 563, 2467, 814, 1044, 2911, 827, 9845, 267, 2523, 267, 2921, 513, 1587, 1572, 897, 739, 5300, 547, 3986, 741, 2773, 269, 901, 1281, 711, 1611, 602, 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 ]
[ 4343, 1269, 1269, 476, 736, 3817, 540, 1840, 543, 12408, 540, 2338, 909, 547, 609, 4267, 563, 763, 5751, 538, 713, 7792, 2979, 23519, 2097, 609, 543, 1510, 1036, 29470, 269, 901, 1863, 2979, 4199, 1433, 568, 1390, 585, 8026, 2596, 3446, 476, 272, 4238, 693, 1753, 267, 538, 1153, 610, 538, 2979, 23468, 1305, 909, 563, 5649, 811, 269, 18527, 543, 10406, 4569, 4518, 1504, 585, 476, 274, 6113, 476, 275, 628, 476, 276, 628, 24110, 281, 28064, 6657, 20113, 267, 9978, 10417, 267, 6478, 9046, 267, 31853, 5174, 5648, 2259, 676, 19594, 674, 8543, 4065, 856, 540, 476, 276, 6801, 4569, 1967, 6238, 609, 2502, 2979, 2259, 3817, 269, 589, 1007, 23519, 568, 2813, 1142, 942, 596, 4945, 563, 13014, 607, 1082, 607, 596, 991, 593, 513, 2834, 4493, 585, 2259, 269, 1452, 18512, 6404, 2979, 960, 9248, 616, 1114, 1142, 942, 789, 616, 2813, 267, 3382, 2596, 1983, 609, 2262, 2042, 267, 2979, 2689, 267, 2565, 3206, 267, 543, 1187, 13410, 563, 274, 6113, 6103, 5871, 11759, 4569, 281, 11545, 6657, 4518, 1504, 901, 23519, 568, 4481, 13988, 547, 519, 1533, 2979, 981, 543, 1455, 4295, 4441, 563, 31936, 267, 621, 2882, 476, 736, 4374, 540, 2789, 31547, 5751, 267, 1533, 268, 7955, 539, 6437, 267, 543, 606, 1439, 6361, 4458, 4879, 269, 4698, 1047, 267, 4487, 267, 2708, 269, 13174, 9578, 568, 513, 3056, 6128, 1982, 585, 674, 1700, 277, 602, 20205, 2164, 269, 4698, 1047, 267, 609, 513, 2070, 547, 17117, 267, 24598, 1231, 519, 18700, 1935, 1031, 538, 519, 13174, 9578, 1982, 267, 3850, 1053, 547, 1628, 593, 543, 556, 23724, 527, 6310, 1543, 2429, 519, 1032, 563, 1607, 2337, 1053, 1020, 7347, 11291, 540, 1344, 267, 19597, 622, 741, 1565, 543, 2333, 741, 269, 2433, 14400, 4804, 10361, 9359, 267, 6103, 476, 274, 547, 476, 275, 281, 8342, 11242, 9578, 4569, 267, 7335, 267, 543, 5678, 4518, 9248, 281, 15167, 547, 11773, 609, 5871, 11759, 1325, 11220, 8249, 543, 4518, 9248, 630, 2567, 4804, 267, 700, 636, 657, 281, 7734, 18800, 338, 281, 476, 273, 526, 6103, 5871, 11759, 4569, 281, 11545, 6657, 4518, 1504, 1107, 3487, 4083, 563, 1607, 23519, 2501, 609, 476, 736, 4374, 540, 3232, 1863, 3210, 267, 12353, 10526, 267, 1533, 268, 7955, 539, 5871, 11759, 6437, 267, 543, 606, 1439, 6361, 7308, 4458, 4879, 269, 7464, 2689, 281, 968, 25802, 1434, 1433, 609, 513, 2603, 540, 5751, 547, 2259, 2353, 540, 873, 616, 5258, 676, 4374, 543, 2395, 563, 288, 17828, 5871, 11759, 3446, 476, 279, 4569, 4518, 1504, 547, 31984, 519, 476, 279, 628, 3446, 4569, 4530, 269, 11773, 2685, 13242, 676, 23897, 1343, 540, 5871, 11759, 4530, 570, 5474, 269, 18043, 5871, 11759, 6103, 476, 279, 4569, 6657, 3883, 910, 6518, 9356, 519, 910, 1449, 4808, 267, 568, 513, 10475, 1565, 4199, 585, 5871, 11759, 1449, 2389, 5474, 945, 991, 3063, 2259, 538, 2979, 547, 6318, 741, 5871, 11759, 4569, 8464, 563, 7476, 4712, 585, 519, 589, 4041, 16775, 4569, 4530, 609, 513, 25783, 293, 17614, 4569, 4518, 1504, 269, 589, 4041, 16775, 4569, 11644, 3883, 6518, 9356, 519, 910, 1449, 4808, 267, 4564, 3573, 5751, 267, 2979, 2042, 267, 3732, 589, 4041, 16775, 2055, 267, 543, 17118, 609, 4267, 543, 2143, 3435, 547, 948, 596, 24917, 707, 2979, 1983, 267, 7753, 707, 981, 4160, 267, 5818, 707, 6015, 11652, 798, 707, 1655, 547, 513, 576, 519, 589, 4041, 16775, 4569, 563, 20797, 4518, 1504, 623, 16810, 6579, 11581, 296, 3582, 6103, 476, 273, 2107, 1633, 334, 3040, 11785, 3040, 28543, 3040, 9628, 3040, 5842, 17630, 2422, 10076, 4569, 547, 4855, 590, 4548, 6657, 17006, 476, 273, 5937, 13424, 8935, 7632, 543, 8935, 7632, 9578, 2290, 595, 18500, 17781, 519, 29156, 7132, 835, 1249, 538, 269, 28064, 9119, 630, 7093, 298, 1700, 277, 264, 3194, 2861, 267, 1382, 3491, 1597, 6044, 602, 3947, 782, 1453, 519, 4316, 547, 8011, 563, 26877, 755, 13577, 9119, 20465, 9046, 2861, 4295, 6437, 2966, 547, 2232, 1543, 543, 2259, 4441, 547, 6536, 1565, 585, 782, 269, 17755, 3863, 6953, 650, 3733, 4569, 630, 7093, 298, 1700, 276, 1040, 5192, 4712, 585, 519, 570, 5723, 292, 476, 1556, 270, 1321, 4569, 4530, 609, 513, 25783, 293, 17614, 4569, 4518, 1504, 563, 307, 5723, 292, 4569, 11644, 3883, 6518, 9356, 519, 910, 1449, 4808, 267, 4564, 3573, 5751, 267, 2979, 2042, 267, 3732, 570, 5723, 292, 2055, 267, 543, 17118, 609, 4267, 543, 2143, 3435, 547, 948, 596, 24917, 707, 2979, 1983, 267, 7753, 707, 981, 4160, 267, 5818, 707, 6015, 11652, 798, 707, 1655, 547, 513, 576, 519, 570, 5723, 292, 4569, 563, 7883, 4569, 269, 11621, 6657, 3883, 6103, 476, 276, 3619, 4569, 6103, 476, 277, 32518, 295, 23184, 4569, 29755, 6103, 476, 276, 3619, 4569, 256, 281, 9906, 9990, 11730, 476, 273, 6103, 3619, 4569, 256, 281, 6657, 12071, 1890, 4518, 1504, 3619, 4569, 563, 293, 3271, 5866, 11621, 6657, 3883, 32518, 295, 23184, 4569, 29755, 6103, 918, 3619, 4569, 269, 853, 320, 22706, 476, 278, 20308, 32518, 295, 23184, 4569, 29755, 6103, 476, 277, 3619, 4569, 269, 9906, 9990, 3848, 476, 272, 6103, 269, 15206, 29986, 6657, 4518, 9248, 630, 275, 960, 9248, 7824, 264, 5675, 22026, 2238, 267, 16439, 3515, 267, 5546, 267, 5961, 267, 1603, 2338, 8518, 8586, 9904, 5022, 1312, 26627, 27664, 589, 19053, 543, 27608, 513, 22271, 267, 1603, 2296, 1913, 563, 30747, 7124, 4569, 4518, 9248, 630, 2190, 960, 9248, 7824, 1040, 3213, 778, 2485, 362, 2659, 11967, 7649, 538, 2875, 1967, 269, 3657, 707, 1053, 4939, 4712, 269, 6435, 1053, 3035, 4514, 1565, 543, 20630, 519, 4441, 609, 6098, 267, 1382, 2861, 6044, 267, 2259, 267, 1489, 543, 1449, 7041, 585, 661, 6369, 543, 4569, 1765, 18485, 538, 1820, 543, 2228, 563, 2304, 3635, 1433, 585, 24253, 1702, 540, 519, 2185, 2596, 6310, 4238, 6026, 538, 9344, 476, 272, 543, 3102, 23519, 3568, 513, 2647, 2039, 540, 3635, 267, 689, 2241, 9273, 585, 1053, 945, 991, 811, 2259, 547, 811, 2352, 4238, 585, 269, 6435, 707, 2034, 17603, 1205, 513, 17945, 593, 1747, 1871, 1247, 8026, 1079, 268, 543, 1614, 18251, 2979, 267, 7132, 24263, 547, 519, 14282, 4627, 563, 31416, 5414, 781, 8111, 8342, 11314, 3883, 269, 938, 3446, 10391, 2979, 960, 9248, 948, 19920, 2259, 519, 1983, 602, 2339, 1034, 269, 2353, 540, 938, 2979, 960, 9248, 616, 4116, 22190, 28508, 543, 5227, 267, 28562, 547, 4143, 269, 646, 2115, 7466, 602, 2179, 7132, 1269, 1215, 1454, 1281, 519, 17919, 1942, 269, 634, 26728, 591, 1149, 10977, 2319, 4465, 513, 2698, 540, 476, 1428, 1101, 268, 543, 2034, 268, 2897, 1199, 1023, 693, 741, 2063, 7669, 2743, 563, 2252, 789, 4465, 476, 278, 811, 1101, 268, 2897, 1199, 1023, 982, 2034, 268, 2897, 1199, 1023, 267, 875, 1082, 1101, 268, 2897, 1199, 1023, 1705, 789, 3094, 269, 634, 15943, 540, 513, 14328, 4677, 568, 476, 6321, 10264, 269, 634, 3259, 568, 476, 275, 10264, 269, 901, 23519, 3947, 2034, 17603, 2259, 538, 18685, 267, 543, 2337, 547, 1020, 741, 6863, 609, 27373, 543, 7623, 1913, 563, 294, 1090, 3405, 5956, 547, 1491, 1271, 9551, 775, 538, 519, 2034, 3446, 1893, 6575, 6437, 267, 607, 789, 2744, 20086, 609, 1603, 21711, 20136, 1433, 568, 17875, 1782, 609, 2979, 269, 8866, 666, 1491, 6306, 2516, 540, 12961, 543, 2259, 2338, 909, 547, 476, 736, 267, 1628, 4098, 1840, 543, 12408, 1983, 609, 10203, 5751, 267, 543, 2689, 17079, 4408, 1932, 2336, 712, 3446, 10391, 2979, 960, 9248, 948, 19920, 2259, 519, 1983, 602, 2339, 1034, 269, 2353, 540, 938, 2979, 960, 9248, 616, 4116, 22190, 28508, 543, 7868, 3817, 538, 713, 6657, 3883, 666, 581, 8655, 538, 1931, 547, 1683, 2259, 609, 1883, 1983, 1282, 1142, 1770, 540, 519, 20710, 2471, 538, 9119, 6437, 563, 763, 3817, 666, 849, 581, 1031, 609, 824, 10026, 2979, 21195, 269, 0, 7021, 519, 2063, 1079, 5756, 267, 11848, 15835, 814, 2799, 676, 827, 476, 2568, 2600, 269, 898, 779, 6059, 602, 952, 782, 540, 519, 22260, 543, 4672, 11503, 941, 547, 14897, 883, 519, 5836, 267, 4262, 1377, 1131, 4473, 676, 476, 15996, 3952, 530, 31441, 856, 782, 540, 519, 9381, 4872, 543, 4884, 1472, 519, 1158, 269, 4750, 626, 543, 2278, 267, 1656, 16699, 623, 12688, 8843, 519, 1686, 540, 11848, 3408, 543, 930, 540, 519, 14849, 2591, 519, 5251, 568, 6849, 2221, 563, 268, 1656, 16699, 623, 12688, 267, 19784, 267, 2278, 267, 10979, 20129, 281, 26676, 342, 516, 22486, 693, 519, 22750, 540, 519, 2622, 563, 299, 3855, 585, 811, 1344, 912, 268, 634, 26851, 281, 634, 11848, 568, 538, 513, 2669, 18700, 269, 1215, 1454, 3476, 786, 621, 2291, 888, 268, 11848, 7256, 10979, 5240, 1299, 5811, 563, 268, 634, 26851, 281, 1261, 908, 11848, 949, 581, 547, 16620, 585, 6777, 28323, 538, 7147, 267, 3744, 8044, 563, 268, 8835, 281, 10979, 20129, 281, 26676, 342, 516, 22486, 693, 519, 22750, 540, 519, 2622, 269, 0, 763, 1158, 779, 10545, 4884, 3957, 9966, 568, 4092, 538, 23886, 807, 1107, 829, 3481, 593, 513, 1164, 14629, 9008, 267, 6444, 676, 519, 2871, 514, 1145, 2622, 19475, 607, 519, 10545, 4884, 593, 519, 4541, 609, 513, 2551, 540, 1100, 811, 982, 476, 2537, 269, 634, 4884, 568, 4092, 538, 519, 4099, 540, 519, 594, 560, 6319, 3148, 267, 2282, 519, 4884, 540, 11370, 345, 564, 267, 1152, 476, 1911, 7397, 1279, 543, 476, 1789, 7397, 2647, 563, 17954, 752, 883, 519, 10545, 4884, 593, 519, 4541, 538, 23886, 807, 454, 4415, 513, 3845, 540, 827, 476, 2412, 14790, 689, 681, 6359, 324, 651, 610, 772, 332, 698, 267, 596, 666, 1305, 3723, 538, 519, 10545, 4884, 538, 519, 1158, 950, 10707, 547, 713, 4856, 520, 807, 2197, 269, 13689, 593, 519, 942, 267, 519, 2626, 827, 519, 1297, 540, 1004, 2713, 1934, 568, 1152, 476, 1704, 268, 2537, 1004, 543, 519, 4884, 540, 9966, 814, 606, 1858, 540, 1079, 10754, 543, 1614, 6821, 269, 17497, 267, 9966, 568, 1634, 607, 513, 23406, 15805, 10278, 609, 12050, 23886, 1014, 2686, 3961, 563, 6097, 547, 3140, 5638, 267, 519, 4884, 1101, 7902, 538, 476, 8099, 273, 609, 519, 2012, 932, 565, 332, 12261, 538, 7969, 607, 2051, 15879, 269, 20323, 267, 519, 1507, 7823, 4884, 1185, 1152, 835, 4585, 339, 1077, 267, 513, 8878, 1062, 609, 519, 2832, 540, 5329, 519, 6512, 1080, 689, 22215, 563, 24836, 706, 958, 267, 1472, 519, 4585, 339, 1077, 267, 513, 1507, 4884, 8057, 543, 3576, 3337, 267, 4742, 20948, 676, 22651, 543, 741, 3885, 269, 4653, 267, 8436, 666, 1294, 513, 4605, 540, 606, 7329, 22690, 545, 1507, 4884, 267, 856, 540, 14784, 543, 9583, 711, 546, 27547, 610, 15244, 540, 519, 8082, 538, 2413, 1272, 269, 634, 5031, 593, 713, 12560, 4605, 568, 519, 3239, 540, 519, 25110, 5939, 543, 519, 3504, 11350, 13486, 563, 4415, 971, 513, 6429, 267, 1082, 1004, 786, 12161, 519, 4884, 540, 9966, 609, 4986, 4502, 9683, 269, 1809, 267, 9966, 949, 581, 519, 10545, 1747, 593, 519, 4541, 267, 855, 621, 786, 1118, 1082, 8436, 20605, 269, 634, 4884, 10689, 543, 25110, 5939, 616, 1360, 1134, 12873, 267, 5356, 8436, 513, 19214, 883, 519, 1686, 540, 713, 4583, 4884, 563, 763, 25110, 5939, 540, 519, 4884, 6131, 547, 519, 7910, 6307, 729, 3710, 538, 476, 5197, 273, 269, 1703, 568, 849, 513, 1507, 4936, 5939, 540, 853, 7603, 727, 3710, 538, 519, 476, 1321, 628, 2540, 267, 1141, 3504, 9597, 1023, 616, 6854, 269, 6854, 543, 16856, 563, 2467, 568, 849, 606, 11141, 8265, 602, 3217, 596, 547, 519, 2749, 540, 9966, 1572, 3794, 698, 7035, 545, 1325, 2917, 269, 898, 568, 513, 476, 274, 5998, 1279, 4155, 267, 21243, 609, 9649, 6149, 18810, 12946, 23886, 1014, 3794, 698, 7035, 545, 1309, 327, 14369, 543, 621, 13462, 519, 2749, 540, 9966, 609, 513, 1507, 8498, 540, 10162, 25155, 563, 9336, 1469, 538, 602, 8748, 4605, 782, 5638, 513, 1978, 2963, 267, 10213, 519, 1650, 540, 5250, 543, 1646, 676, 3294, 269, 2353, 609, 513, 23886, 1014, 7362, 563, 1103, 4884, 972, 568, 513, 13962, 609, 2189, 11951, 269, 2311, 9966, 267, 4583, 1919, 899, 1208, 338, 6390, 20312, 6390, 267, 513, 1106, 540, 986, 330, 6359, 320, 630, 25912, 344, 264, 6404, 609, 5134, 548, 1729, 324, 543, 930, 824, 5820, 616, 2048, 332, 755, 2119, 685, 10425, 1107, 2687, 547, 513, 476, 1220, 271, 1032, 2025, 1786, 342 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 736, 266, 13012, 15232, 454, 22492, 626, 24251, 23488, 454, 290, 25377, 710, 568, 513, 4922, 10057, 6219, 602, 568, 1634, 585, 922, 2702, 547, 2333, 10332, 1145, 267, 1648, 267, 543, 1445, 269, 1809, 666, 621, 849, 723, 513, 2318, 1764, 593, 3075, 8213, 888, 1103, 713, 2376, 267, 649, 3580, 2263, 519, 2360, 540, 14933, 593, 519, 1560, 543, 922, 1761, 1909, 538, 5883, 3075, 8213, 269, 1284, 3580, 849, 1865, 519, 4220, 540, 1210, 14933, 585, 713, 3483, 543, 875, 1454, 14933, 568, 2922, 547, 8532, 563, 15371, 596, 2461, 513, 14933, 27423, 610, 2576, 5461, 538, 8213, 2359, 267, 972, 779, 513, 2603, 547, 1451, 827, 519, 2078, 1063, 14933, 543, 3075, 8213, 563, 2690, 811, 1344, 593, 3075, 4205, 267, 5225, 3346, 938, 4966, 693, 24251, 23488, 7885, 923, 563, 290, 25377, 710, 568, 513, 6923, 9648, 8102, 656, 1336, 538, 1585, 16098, 543, 1426, 2472, 267, 4122, 10057, 547, 3895, 10332, 1145, 543, 25559, 9854, 563, 290, 25377, 710, 267, 6508, 689, 2371, 899, 6995, 10365, 267, 7401, 3762, 267, 543, 23342, 10808, 267, 814, 1044, 3351, 2213, 585, 5553, 269, 898, 666, 581, 1336, 538, 1585, 2472, 971, 607, 6995, 267, 7401, 267, 1648, 10425, 267, 543, 2571, 10425, 269, 4706, 2702, 547, 2087, 10332, 1145, 543, 8396, 9854, 568, 1134, 1673, 29545, 267, 609, 1082, 1004, 13461, 593, 922, 2360, 547, 3251, 25805, 543, 3986, 5834, 2429, 519, 1554, 563, 4913, 267, 7050, 4616, 540, 14933, 666, 723, 2942, 4539, 543, 949, 1256, 3565, 547, 6219, 946, 4524, 538, 930, 2043, 563, 290, 25377, 710, 25998, 609, 519, 2634, 676, 17527, 519, 2360, 540, 20722, 27343, 267, 513, 32239, 602, 8992, 11005, 269, 901, 5012, 547, 2799, 8849, 2534, 543, 10332, 1145, 563, 1607, 22629, 540, 20722, 27343, 676, 14933, 2164, 538, 519, 5305, 540, 824, 30088, 971, 607, 22006, 543, 6862, 611, 1066, 13824, 267, 7700, 547, 8476, 5042, 1599, 543, 4824, 7099, 563, 290, 25377, 710, 849, 22262, 519, 5305, 540, 19076, 13824, 267, 4122, 1634, 607, 19076, 13824, 267, 5009, 606, 2333, 538, 2295, 2557, 543, 1973, 2095, 269, 1452, 5916, 2360, 711, 1152, 1291, 547, 15398, 2634, 1599, 267, 855, 849, 3565, 547, 10151, 4606, 540, 15398, 1648, 543, 1445, 2404, 609, 14933, 4616, 563, 290, 25377, 710, 814, 513, 3099, 540, 2360, 593, 519, 1560, 269, 898, 666, 5305, 22006, 267, 3986, 10444, 8226, 267, 543, 5732, 2014, 15639, 2589, 950, 4616, 568, 11074, 563, 290, 25377, 710, 4616, 568, 1634, 547, 2333, 10332, 1145, 543, 1648, 2157, 267, 7674, 607, 513, 1761, 1907, 585, 28530, 9854, 543, 5009, 12687, 6888, 563, 6624, 1004, 7048, 593, 14933, 547, 3251, 10332, 543, 5059, 1282, 1279, 3108, 540, 960, 610, 1353, 269, 4706, 18398, 2360, 666, 948, 547, 13468, 4606, 540, 13110, 1145, 543, 2087, 2790, 1035, 8462, 563, 1607, 666, 581, 3226, 6225, 585, 2043, 2502, 538, 2238, 602, 2154, 13455, 3007, 543, 5834, 269, 2368, 2090, 2303, 602, 9793, 14933, 6981, 949, 723, 2318, 2360, 593, 5042, 1599, 543, 7099, 267, 2417, 5885, 922, 1909, 538, 7393, 2949, 1134, 5630, 543, 7607, 563, 290, 25377, 710, 814, 519, 2702, 547, 3986, 1445, 543, 5834, 267, 1818, 621, 513, 1761, 5351, 538, 4247, 8506, 5042, 6278, 543, 13455, 3007, 563, 22137, 723, 3254, 602, 14933, 666, 849, 1404, 513, 1909, 607, 513, 6051, 1907, 267, 3226, 538, 19086, 519, 2360, 540, 3207, 22975, 269, 898, 814, 1044, 1336, 547, 948, 11177, 5042, 2773, 543, 10332, 1145, 267, 1818, 621, 513, 2442, 3903, 585, 2043, 17596, 547, 2226, 1445, 1282, 1279, 5712, 540, 960, 610, 1353, 563, 290, 25377, 710, 814, 1044, 5532, 547, 4824, 5179, 11558, 543, 5114, 2053, 267, 2417, 5885, 922, 1909, 538, 7393, 5042, 1599, 563, 290, 25377, 710, 568, 1634, 547, 723, 7099, 10276, 327, 3496, 3601, 267, 5732, 7700, 547, 513, 2631, 540, 1134, 5630, 543, 2799, 10332, 1145, 1851, 6800, 563, 22137, 723, 3254, 602, 14933, 666, 723, 513, 2318, 1764, 593, 2790, 1072, 267, 4481, 538, 5883, 2566, 543, 4227, 2589, 540, 4965, 269, 898, 568, 513, 1455, 1505, 1031, 676, 2043, 547, 10038, 741, 30181, 543, 2087, 1445, 267, 2523, 1282, 14053, 4247, 563, 1103, 3797, 267, 6417, 14933, 4616, 568, 3006, 5227, 607, 621, 666, 948, 5818, 1648, 2157, 543, 3986, 5042, 1599, 267, 1818, 621, 513, 6225, 1840, 547, 2790, 1072, 2126, 4566, 563, 290, 25377, 710, 4616, 568, 2404, 609, 606, 2333, 538, 2295, 2557, 543, 1973, 2604, 267, 799, 949, 723, 6286, 585, 2043, 609, 1978, 1072, 2175, 543, 519, 1761, 585, 26739, 6604, 563, 763, 12214, 2360, 540, 14933, 666, 581, 7282, 585, 1346, 609, 840, 25365, 9025, 2175, 269, 634, 2333, 538, 2295, 2557, 543, 1973, 2604, 949, 22009, 741, 2589, 563, 2690, 2043, 538, 6051, 689, 6219, 946, 4713, 267, 519, 1909, 540, 14933, 538, 26739, 6604, 1058, 581, 2808, 269, 4400, 14933, 6981, 814, 1044, 5532, 547, 2799, 26351, 585, 1978, 6878, 563, 2005, 779, 1271, 547, 1174, 875, 14933, 5540, 12214, 3157, 538, 1931, 547, 1683, 3102, 1416, 585, 1346, 609, 1808, 1072, 2175, 543, 1489, 26739, 6604, 2994, 563, 763, 1761, 1909, 540, 14933, 538, 5883, 3075, 8213, 814, 1044, 513, 1641, 540, 1719, 267, 609, 5571, 1382, 3695, 922, 1764, 543, 1761, 2126, 3681, 563, 22137, 723, 3254, 602, 14933, 666, 1860, 519, 8849, 11444, 1644, 547, 8213, 543, 1683, 4244, 2409, 585, 2126, 269, 4706, 18398, 2360, 723, 1044, 5532, 547, 13302, 26351, 543, 2589, 540, 15639, 267, 5732, 4543, 547, 2539, 26739, 3928, 563, 1607, 3395, 1702, 540, 14933, 779, 1909, 538, 8213, 814, 8118, 909, 1007, 7399, 585, 9354, 7459, 543, 3746, 2478, 519, 25872, 540, 6219, 6057, 543, 1761, 2126, 3681, 563, 2467, 616, 8037, 10486, 1063, 519, 2360, 540, 14933, 543, 1978, 5061, 267, 609, 2963, 11021, 20718, 8849, 11444, 543, 1761, 6286, 585, 8213, 563, 10932, 814, 1336, 602, 14933, 267, 899, 1808, 5061, 267, 6411, 593, 519, 2634, 779, 22006, 1062, 269, 901, 1062, 568, 2629, 585, 17923, 519, 5418, 553, 9092, 2360, 540, 6878, 563, 22137, 723, 3254, 602, 14933, 543, 1978, 5061, 1312, 12954, 519, 5305, 540, 19076, 13824, 267, 3056, 547, 2799, 2295, 2557, 543, 10332, 1145, 269, 1452, 2360, 616, 2147, 547, 1346, 540, 930, 5061, 267, 2417, 5885, 519, 2856, 540, 3838, 8849, 11444, 563, 3528, 1620, 891, 10486, 267, 649, 666, 5732, 1118, 1713, 3356, 538, 5466, 8213, 543, 3384, 6098, 5574, 563, 763, 2359, 540, 3075, 8213, 998, 14933, 4616, 814, 1044, 8268, 538, 4791, 8062, 267, 609, 5571, 13753, 883, 922, 1761, 7145, 543, 2359, 2994, 563, 10932, 538, 713, 1858, 12538, 883, 519, 1764, 540, 14933, 593, 32239, 2157, 267, 3226, 22006, 269, 901, 1382, 7710, 922, 1761, 547, 11574, 519, 15639, 2589, 4810, 1282, 8213, 6051, 563, 4322, 8062, 849, 2832, 547, 3313, 519, 6099, 18262, 543, 4908, 540, 14933, 6981, 585, 2043, 18460, 8213, 2126, 269, 634, 4681, 689, 891, 2090, 1223, 3648, 3565, 547, 519, 1646, 540, 811, 3102, 543, 2500, 2359, 2994, 585, 3075, 8213, 563, 8601, 922, 1761, 2640, 267, 519, 946, 540, 14933, 585, 5883, 3075, 8213, 11438, 1978, 4220, 267, 1519, 2942, 2427, 2360, 543, 519, 991, 585, 6219, 946, 2069, 3823, 922, 4616, 563, 290, 25377, 710, 267, 950, 1031, 607, 513, 12990, 585, 22925, 6878, 267, 666, 1291, 547, 21341, 543, 15639, 2589, 267, 12615, 908, 519, 4540, 8213, 2152, 563, 2005, 779, 1898, 585, 2043, 547, 1174, 519, 1761, 12178, 540, 13461, 593, 14933, 607, 513, 12003, 7271, 269, 28548, 946, 2069, 4249, 513, 2629, 1909, 538, 9870, 4656, 827, 519, 1764, 540, 14933, 593, 519, 1560, 543, 2247, 267, 4543, 2043, 1118, 5483, 5079, 3823, 741, 6219, 946, 543, 5275, 3617, 1489, 585, 8213, 6051, 563, 763, 4616, 540, 14933, 666, 1291, 547, 8213, 538, 930, 2043, 267, 27537, 676, 26351, 543, 1761, 6286, 585, 7589, 538, 513, 6051, 10872, 563, 29753, 513, 13829, 593, 14933, 666, 1291, 547, 7920, 26351, 543, 7411, 9013, 6981, 269, 901, 666, 10460, 2591, 585, 1346, 5275, 547, 9156, 267, 607, 15639, 2589, 543, 7287, 585, 14933, 666, 581, 11566, 563, 28403, 2358, 4191, 540, 8213, 543, 5275, 1489, 689, 513, 3358, 6051, 10872, 568, 2629, 538, 5466, 519, 10848, 540, 14933, 21341, 269, 4197, 519, 1764, 540, 14933, 8213, 543, 519, 2956, 540, 513, 3102, 6051, 10872, 568, 1898, 585, 1346, 593, 713, 3460, 563, 290, 25377, 710, 4616, 949, 1291, 547, 8801, 2427, 2360, 267, 1519, 15639, 2589, 267, 799, 1223, 2154, 1489, 689, 513, 6051, 2146, 585, 4299, 2043, 563, 290, 25377, 710, 568, 513, 4922, 10057, 8102, 656, 267, 855, 10438, 1932, 1454, 666, 2014, 2152, 971, 607, 15398, 4160, 267, 22841, 3207, 267, 543, 13829, 563, 2252, 596, 2461, 7680, 15639, 2589, 899, 14331, 267, 13110, 1145, 267, 543, 29338, 267, 621, 666, 581, 6225, 547, 3343, 1489, 689, 513, 6051, 2146, 269, 9861, 851, 540, 513, 2146, 602, 17358, 543, 7028, 596, 666, 1118, 621, 4443, 547, 6023, 891, 2591, 543, 1020, 513, 8902, 2078, 609, 14933, 267, 5009, 2949, 1134, 5630, 563, 290, 25377, 710, 666, 2170, 609, 1978, 6527, 267, 26089, 6297, 7156, 543, 5583, 689, 513, 6051, 13539, 547, 11574, 1761, 8374, 563, 8139, 519, 1761, 4205, 1063, 14933, 543, 1808, 6527, 568, 2629, 585, 2043, 538, 6051, 563, 5278, 6527, 267, 971, 607, 1346, 11311, 585, 2790, 1072, 2175, 610, 2295, 5829, 2152, 267, 666, 581, 4299, 676, 14933, 6981, 267, 3056, 547, 8801, 2360, 269, 898, 779, 1271, 585, 2043, 547, 3343, 5583, 689, 513, 6051, 13539, 610, 3318, 3782, 8502, 945, 666, 1683, 3358, 5796, 547, 948, 873, 6330, 891, 1761, 4205, 9108, 563, 23005, 1456, 519, 2922, 4616, 540, 14933, 3322, 1620, 5227, 3232, 7182, 543, 6236, 1367, 2188, 602, 949, 1764, 14933, 10892, 563, 2690, 1082, 1004, 267, 519, 5227, 3232, 3970, 585, 14933, 6981, 568, 827, 476, 6110, 31501, 267, 6697, 547, 5111, 2185, 11680, 540, 6882, 6995, 563, 23149, 2188, 971, 607, 2597, 267, 10307, 267, 543, 8417, 547, 14933, 666, 3310, 835, 779, 10892, 269, 898, 779, 1271, 547, 581, 13533, 540, 891, 2188, 950, 14045, 593, 707, 3232, 14933, 6981, 269, 16424, 875, 707, 1560, 23465, 547, 14933, 543, 1373, 3222, 540, 1022, 1761, 2427, 2360, 666, 849, 1404, 513, 2629, 1909, 538, 4180, 2922, 543, 9793, 4616, 563, 10890, 8128, 1683, 5227, 3232, 7182, 585, 14933, 4616, 267, 7674, 607, 513, 2359, 1907, 543, 513, 7156, 538, 3384, 6051, 2994, 563, 4322, 7182, 616, 3335, 1305, 693, 476, 6110, 31501, 585, 4079, 267, 799, 568, 10199, 6697, 547, 2185, 11680, 540, 6995, 563, 1805, 11691, 1369, 891, 4808, 666, 948, 2043, 4383, 741, 14933, 6981, 267, 2569, 519, 1981, 540, 13311, 2427, 2360, 971, 607, 4160, 610, 3207, 18063, 267, 543, 1489, 2949, 1072, 543, 1134, 5630, 563, 2691, 621, 2501, 547, 6051, 2994, 267, 1620, 519, 1909, 540, 14933, 666, 5351, 538, 5688, 2358, 1648, 2157, 543, 9319, 16126, 593, 7050, 5666, 540, 519, 8102, 656, 563, 23149, 10892, 547, 14933, 666, 581, 6766, 676, 1585, 2188, 267, 18363, 922, 1761, 585, 13829, 543, 9270, 1369, 513, 6051, 3460, 563, 26502, 971, 607, 11976, 267, 10307, 267, 543, 4908, 540, 4616, 1404, 513, 1713, 1909, 538, 8159, 835, 779, 10892, 547, 14933, 563, 17829, 609, 513, 4719, 32739, 547, 8311, 1047, 14933, 7444, 949, 1995, 15398, 8417, 547, 922, 2360, 267, 5732, 3056, 547, 13829, 563, 295, 629, 3770, 4616, 540, 1804, 5666, 540, 14933, 666, 1628, 10892, 267, 8506, 2362, 13066, 547, 3035, 519, 1482, 18398, 2360, 563, 8139, 891, 2188, 568, 2629, 538, 5883, 14933, 13829, 543, 10188, 519, 6051, 1184, 563, 2467, 616, 513, 2039, 540, 824, 2533, 602, 649, 666, 1683, 269, 5620, 513, 1413, 693, 519, 1592, 2630, 585, 811, 1344, 912, 2171, 13667, 1677, 31400, 1677, 2353, 2037, 24751, 2060, 2987, 476, 2190, 6953, 2293, 0, 3682, 12888, 543, 5753, 781, 12618, 281, 634, 11957, 540, 19871, 585, 4132, 4886, 454, 3682, 12888, 568, 513, 2629, 5057, 540, 513, 1126, 781, 2732, 543, 4249, 513, 2629, 1909, 538, 1169, 2460, 540, 2208, 543, 1646, 269, 3245, 2679, 2178, 6091, 543, 7633, 547, 5885, 519, 4761, 1062, 543, 5009, 2635, 2634, 1599, 267, 3940, 568, 1898, 585, 1453, 781, 1072, 543, 1134, 5630, 269, 769, 713, 2376, 267, 649, 786, 2263, 1946, 3940, 568, 865, 1271, 585, 1126 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9636, 594, 1185, 1044, 7680, 780, 3086, 267, 3670, 3275, 2663, 267, 594, 3136, 547, 4225, 11009, 538, 1250, 3232, 1272, 269, 3502, 1152, 814, 621, 20427, 4824, 1250, 2790, 1072, 267, 855, 621, 781, 2016, 803, 513, 2898, 1007, 7071, 585, 1250, 2168, 1582, 607, 1134, 269, 5808, 6785, 602, 1945, 607, 2241, 607, 2519, 593, 707, 7362, 1223, 723, 971, 7096, 2360, 286, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 18658, 616, 930, 1808, 11009, 2553, 602, 723, 1044, 8810, 2500, 538, 4227, 3929, 2566, 2589, 888, 272, 269, 10610, 2480, 534, 25990, 281, 901, 4480, 3322, 2519, 707, 3007, 593, 1114, 2694, 540, 707, 1560, 267, 538, 1931, 547, 1831, 3222, 540, 2168, 17915, 543, 6001, 780, 273, 269, 700, 8221, 11860, 785, 1145, 25990, 281, 901, 3322, 14237, 4606, 540, 2648, 267, 11587, 543, 8296, 2509, 13951, 543, 1866, 780, 274, 269, 9650, 995, 22165, 3107, 281, 901, 3322, 2519, 707, 3007, 593, 707, 7362, 267, 799, 666, 948, 9350, 707, 2247, 543, 2569, 2566, 780, 275, 269, 9650, 995, 29303, 281, 901, 3322, 9878, 3007, 547, 519, 2168, 17915, 540, 6972, 267, 971, 607, 519, 1745, 540, 519, 2666, 9944, 707, 3952, 610, 519, 3350, 540, 707, 7953, 780, 276, 269, 18639, 281, 28552, 10649, 666, 948, 2569, 2566, 543, 4160, 676, 9256, 2168, 2022, 999, 609, 13533, 7244, 5751, 780, 277, 269, 9650, 995, 14856, 281, 901, 3322, 9878, 2673, 3007, 547, 519, 10366, 267, 18282, 543, 17915, 540, 4189, 267, 538, 1931, 547, 4628, 5660, 543, 521, 2948, 707, 1426, 780, 278, 269, 4273, 516, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 19743, 972, 267, 2370, 3283, 256, 4653, 649, 2811, 2469, 593, 513, 5691, 7045, 547, 2263, 519, 3078, 1158, 540, 13836, 543, 519, 4241, 2257, 3297, 621, 782, 269, 3689, 3247, 281, 19845, 295, 26996, 966, 3201, 4041, 312, 16843, 2177, 303, 5456, 306, 910, 938, 2199, 12325, 945, 1404, 538, 519, 3486, 21597, 543, 616, 851, 540, 519, 4583, 11682, 6579, 4696, 5085, 15771, 8656, 11682, 21135, 22494, 1920, 269, 1358, 1289, 2910, 7563, 4211, 5357, 288, 24315, 298, 741, 1753, 32005, 267, 1318, 1934, 538, 20231, 7728, 32052, 267, 623, 2894, 10064, 312, 299, 309, 3198, 8656, 269, 901, 6909, 30806, 666, 10160, 909, 547, 476, 279, 267, 1911, 11655, 543, 814, 4055, 585, 476, 1015, 267, 1822, 950, 1919, 1205, 2731, 12699, 2439, 3086, 1577, 803, 2995, 596, 1945, 3579, 1862, 1684, 596, 917, 1018, 2306, 519, 6607, 1413, 4544, 1282, 1346, 13566, 1310, 7224, 976, 6170, 8384, 707, 5172, 5716, 18711, 585, 11802, 286, 2334, 4190, 2681, 2501, 689, 3047, 781, 5790, 22502, 7943, 538, 1169, 4287, 269, 1306, 3043, 1769, 10596, 998, 519, 2011, 267, 1114, 4778, 14649, 8335, 1813, 547, 741, 2189, 20966, 1107, 21462, 1373, 16559, 811, 982, 1866, 267, 1818, 621, 2408, 4544, 16841, 269, 1656, 7058, 1018, 286, 2311, 3781, 267, 588, 1173, 5074, 3587, 2009, 1317, 6801, 19542, 5103, 519, 4158, 7064, 547, 741, 1378, 1769, 10707, 1279, 9883, 1354, 8757, 721, 780, 3080, 1554, 267, 1079, 2828, 3957, 7537, 312, 543, 645, 2894, 4956, 547, 3643, 1312, 519, 19845, 295, 26996, 966, 3201, 4041, 312, 16843, 2177, 303, 5456, 306, 543, 519, 20380, 16275, 2316, 313, 27602, 645, 3198, 298, 24315, 298, 269, 25138, 4280, 5484, 8049, 569, 267, 834, 3963, 798, 596, 1589, 789, 3710, 971, 5458, 30806, 338, 8119, 1677, 799, 5484, 14452, 31113, 267, 834, 11039, 25138, 267, 891, 3889, 991, 2614, 2230, 543, 27939, 585, 5215, 540, 1004, 865, 3025, 666, 2972, 3013, 781, 5172, 2250, 830, 1927, 10590, 1261, 4797, 267, 834, 27355, 1405, 621, 5863, 875, 3425, 666, 1374, 543, 4020, 891, 7372, 5656, 1247, 1620, 519, 2979, 543, 6323, 3238, 286, 594, 1611, 267, 4952, 12719, 782, 1346, 7285, 267, 2326, 267, 543, 4229, 2877, 547, 1628, 1945, 865, 6264, 3010, 2026, 789, 2451, 16275, 2316, 313, 27602, 645, 3198, 298, 24315, 298, 267, 521, 5417, 2989, 602, 741, 3460, 1185, 2097, 547, 606, 1439, 267, 5484, 5828, 547, 25138, 543, 1767, 267, 834, 2791, 917, 267, 1256, 1498, 649, 4769, 1405, 1294, 1022, 3756, 2221, 267, 1565, 827, 519, 2257, 3297, 13836, 1500, 938, 7552, 26656, 10590, 1809, 1287, 267, 30122, 267, 4764, 3323, 26311, 1524, 267, 16550, 873, 547, 2759, 2110, 741, 11812, 896, 519, 9241, 4121, 5013, 269, 2060, 29359, 31960, 2066, 741, 8188, 267, 789, 7691, 602, 3006, 20437, 4365, 949, 17225, 4566, 267, 2943, 1702, 6591, 3788, 2150, 31189, 543, 2479, 331, 8463, 269, 1924, 2141, 3314, 267, 1100, 2339, 1018, 4523, 267, 2760, 1577, 4376, 14927, 523, 707, 6891, 540, 6602, 256, 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, 22033, 281, 476, 910, 634, 2274, 14683, 9503, 11635, 303, 12127, 616, 513, 5634, 21597, 13836, 2319, 602, 4249, 538, 519, 4139, 13477, 269, 634, 11635, 303, 12127, 616, 519, 10222, 921, 5025, 24988, 540, 519, 15740, 22361, 625, 269, 634, 2319, 4249, 741, 1753, 3756, 693, 595, 10087, 4211, 7637, 5244, 267, 799, 568, 4092, 538, 2353, 550, 1144, 267, 12425, 269, 634, 6216, 1007, 595, 10087, 4211, 7637, 5244, 267, 799, 8118, 585, 519, 1376, 540, 519, 11635, 303, 12127, 262, 1101, 4005, 538, 476, 1220, 279, 267, 16295, 909, 547, 476, 279, 267, 1911, 267, 609, 513, 4390, 540, 476, 1015, 267, 1822, 267, 543, 1942, 1269, 2004, 269, 1839, 2929, 547, 2347, 269, 769, 476, 1001, 277, 267, 834, 2690, 15816, 257, 7396, 519, 11635, 303, 12127, 607, 519, 8772, 2173, 739, 3407, 19724, 13477, 28473, 2319, 609, 513, 1871, 540, 1269, 6246, 2929, 269, 476, 910, 22893, 7813, 5244, 568, 513, 13836, 6288, 4092, 538, 15740, 267, 1369, 519, 3162, 15740, 11846, 13216, 269, 898, 568, 519, 1753, 540, 519, 15740, 22361, 625, 267, 519, 2749, 781, 11683, 13477, 28473, 630, 7876, 289, 264, 29929, 269, 898, 568, 4122, 5219, 547, 676, 17137, 3274, 607, 834, 763, 7813, 257, 610, 834, 290, 21990, 2668, 22893, 7813, 5244, 8118, 593, 4989, 476, 274, 267, 476, 1220, 275, 267, 543, 18799, 922, 1101, 2834, 4005, 13836, 3014, 593, 4989, 476, 1321, 540, 519, 1482, 1032, 267, 609, 519, 22361, 625, 9232, 692, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 7170, 281, 4197, 1215, 19204, 19147, 543, 4208, 2368, 2052, 6203, 1763, 626, 9615, 692, 7072, 912, 290, 20635, 616, 899, 6263, 2679, 7161, 602, 1118, 909, 3388, 2713, 267, 1519, 596, 256, 5272, 1631, 543, 1287, 267, 891, 2370, 2679, 7161, 991, 547, 7941, 543, 1711, 1007, 3283, 547, 948, 721, 1332, 610, 5372, 2025, 2281, 269, 1809, 3006, 1919, 666, 979, 4636, 1282, 713, 6498, 1184, 267, 3056, 547, 3676, 899, 2860, 269, 4653, 267, 649, 3513, 2263, 875, 2281, 7941, 543, 1946, 930, 11871, 1831, 11259, 547, 2126, 780, 8512, 476, 272, 281, 634, 19933, 540, 8426, 10406, 454, 2691, 938, 1560, 2115, 1007, 2281, 267, 835, 1591, 786, 8237, 883, 1079, 9838, 8250, 2281, 998, 513, 1184, 1572, 5378, 2670, 269, 6056, 540, 621, 607, 513, 1134, 3146, 515, 1513, 539, 7544, 609, 1896, 5933, 269, 3689, 267, 519, 1591, 5918, 27289, 922, 4719, 1570, 267, 610, 834, 323, 766, 5528, 2437, 1634, 607, 5027, 269, 3973, 267, 621, 14961, 17337, 891, 5528, 883, 1079, 5094, 2694, 269, 7053, 267, 519, 1591, 10943, 1080, 6306, 267, 2870, 1079, 6216, 1007, 15472, 4891, 256, 901, 3003, 1184, 1590, 4755, 12347, 547, 2327, 2635, 1591, 2208, 780, 8512, 476, 273, 281, 14600, 5328, 13262, 910, 1879, 12085, 3619, 654, 3994, 454, 4913, 267, 972, 616, 8090, 950, 1945, 7519, 338, 713, 10347, 7544, 267, 4929, 1018, 3744, 1289, 834, 2466, 5328, 2566, 1701, 5994, 952, 2576, 10393, 4957, 519, 2575, 32171, 1282, 938, 7544, 31667, 1023, 282, 621, 1223, 1291, 547, 9073, 538, 938, 2773, 256, 6684, 267, 5378, 5328, 2566, 1522, 2014, 6959, 538, 12270, 519, 4719, 1570, 267, 5732, 4611, 538, 9402, 2281, 602, 949, 5555, 2490, 883, 2860, 269, 30586, 267, 938, 4703, 723, 2081, 547, 3713, 971, 2152, 543, 20006, 513, 1582, 1673, 652, 1192, 5311, 267, 1572, 30091, 267, 547, 9004, 1346, 25768, 2281, 780, 8512, 476, 274, 281, 8111, 12516, 525, 5288, 269, 16645, 1622, 1107, 634, 11135, 10738, 454, 3086, 4952, 952, 1978, 5636, 664, 748, 5946, 4956, 547, 15936, 609, 713, 1582, 1673, 652, 2315, 1184, 267, 3850, 519, 8697, 2281, 547, 7639, 543, 9062, 286, 2334, 781, 10502, 1018, 4523, 538, 930, 2010, 540, 2860, 256, 2290, 971, 3940, 568, 1572, 524, 4149, 21683, 267, 799, 666, 2061, 519, 7020, 543, 17594, 540, 14129, 2281, 269, 1635, 3257, 865, 267, 524, 4149, 21683, 6087, 891, 887, 326, 826, 2281, 547, 3136, 3395, 543, 8108, 12970, 780, 8512, 476, 275, 281, 1133, 332, 27965, 519, 10020, 540, 26537, 11294, 3525, 2305, 454, 1103, 2487, 2090, 267, 3173, 4362, 1776, 1895, 540, 12325, 3843, 547, 3247, 891, 5636, 1622, 1107, 11476, 3743, 585, 6985, 11294, 14842, 269, 1452, 5667, 2426, 21847, 948, 10038, 5444, 4082, 267, 4180, 602, 1142, 1591, 814, 519, 2953, 1305, 540, 834, 323, 766, 7575, 257, 2838, 585, 1697, 1599, 269, 4438, 5378, 2670, 267, 789, 849, 4217, 538, 12180, 519, 5027, 1354, 1591, 6498, 269, 1717, 267, 741, 3646, 666, 581, 555, 342, 14975, 676, 524, 4149, 21683, 267, 1818, 621, 2629, 547, 1174, 875, 713, 6370, 4652, 9529, 780, 6962, 912, 3528, 4974, 519, 6946, 3347, 1063, 1585, 5946, 543, 3157, 1369, 938, 2281, 267, 3744, 4126, 547, 1020, 1732, 2994, 547, 8396, 11871, 11259, 547, 1699, 5574, 269, 898, 781, 899, 1620, 519, 25287, 2762, 540, 1114, 23929, 547, 917, 950, 1945, 4422, 1659, 787, 267, 7175, 721, 547, 26544, 543, 11177, 3666, 269, 1924, 1985, 942, 596, 1589, 827, 707, 1378, 2281, 12270, 267, 3314, 519, 6909, 6988, 3297, 713, 4948, 27803, 543, 519, 5571, 1391, 547, 2149, 621, 689, 1761, 6937, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 4149, 21683, 1476, 619, 4187, 547, 5378, 5328, 2566, 998, 22629, 20336, 4338, 272, 20324, 889, 274, 1950, 5250, 538, 25524, 2860, 454, 300, 12817, 9435, 4320, 476, 1704, 267, 9137, 1297, 281, 476, 14690, 630, 1001, 279, 994, 2419, 668, 11294, 14842, 693, 5378, 2670, 568, 5702, 1644, 547, 13973, 1308, 2746, 10474, 538, 519, 7766, 1591, 4783, 269, 1284, 2601, 539, 713, 1184, 568, 632, 29970, 676, 32346, 8328, 6786, 267, 799, 1131, 3565, 547, 5378, 5328, 2566, 4187, 538, 25524, 2860, 269, 3371, 267, 649, 1397, 20336, 4338, 272, 20324, 889, 274, 1950, 18657, 919, 5378, 5328, 2566, 14001, 10408, 30091, 267, 1247, 713, 1198, 568, 25559, 539, 676, 524, 4149, 21683, 538, 25524, 2860, 2281, 269, 3776, 1353, 6663, 547, 10625, 606, 796, 30009, 7271, 5817, 519, 3982, 3210, 547, 5378, 5328, 2566, 1063, 3339, 2281, 543, 25524, 2860, 2281, 563, 763, 5872, 1063, 32686, 274, 543, 20336, 4338, 272, 2390, 5378, 5328, 2566, 15202, 729, 5462, 998, 7636, 543, 1591, 6211, 2409, 269, 634, 7409, 7480, 1198, 540, 524, 4149, 21683, 593, 20336, 4338, 272, 20324, 889, 274, 24975, 5027, 18861, 566, 543, 5444, 16606, 9043, 729, 11567, 269, 634, 7681, 1063, 3010, 2237, 606, 2502, 543, 3015, 1576 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1607, 3018, 779, 7084, 568, 5254, 7968, 476, 273, 1107, 5741, 20828, 15048, 267, 17461, 1299, 19043, 543, 623, 2975, 302, 339, 14474, 1540, 11916, 5741, 7726, 7868, 2875, 786, 2626, 519, 3688, 2630, 538, 513, 6478, 2703, 543, 10505, 547, 519, 7084, 3095, 269, 17809, 728, 513, 2140, 602, 27711, 610, 6257, 519, 7084, 269, 19061, 20828, 15048, 1107, 3629, 513, 3616, 541, 894, 4845, 610, 1079, 799, 26564, 519, 1808, 1888, 543, 3853, 540, 519, 1788, 11065, 871, 3033, 543, 19043, 1107, 3557, 519, 2956, 540, 519, 1966, 543, 11168, 1018, 568, 5499, 827, 707, 6069, 1788, 269, 9181, 519, 1761, 1764, 540, 707, 1788, 593, 707, 17191, 2164, 547, 519, 1732, 618, 540, 1072, 543, 5924, 1072, 4093, 10422, 2975, 302, 339, 30149, 11916, 5741, 5999, 1107, 3629, 519, 15510, 267, 27800, 267, 18948, 267, 1401, 4624, 27159, 543, 942, 18134, 585, 519, 6069, 1788, 269, 27066, 1107, 25737, 8100, 1210, 14905, 476, 278, 628, 1196, 3898, 269, 276, 3817, 269, 7069, 623, 2975, 5588, 2243, 568, 2690, 11361, 2550, 1657, 476, 2568, 1296, 609, 2604, 21385, 630, 303, 264, 786, 519, 2942, 2604, 10138, 3797, 630, 296, 264, 607, 10353, 547, 3044, 5848, 10138, 3797, 630, 290, 264, 2087, 519, 7067, 540, 519, 2604, 22377, 630, 302, 264, 1282, 741, 1079, 22173, 3251, 693, 519, 6413, 630, 307, 1916, 2710, 596, 991, 513, 2147, 7084, 2944, 585, 596, 689, 15072, 286, 1284, 723, 11727, 5830, 547, 948, 596, 269, 1284, 26924, 596, 606, 589, 266, 2298, 1957, 602, 568, 1863, 689, 17096, 269, 11352, 1631, 585, 606, 29055, 5494, 870, 2336, 4696, 309, 3198, 290, 3633, 715, 7838, 306, 5058, 570, 7473, 27633, 454, 5978, 5692, 568, 547, 3895, 4081, 1967, 676, 3246, 1053, 609, 9120, 1382, 543, 1603, 267, 3812, 676, 11108, 5830, 543, 15769, 563, 8687, 279, 715, 28599, 589, 557, 454, 299, 657, 13353, 267, 11404, 267, 2136, 2276, 454, 266, 272, 630, 20385, 264, 476, 280, 7830, 476, 25228, 273, 0, 305, 664, 568, 1898, 585, 7693, 2208, 543, 6694, 7607, 267, 855, 1932, 1454, 540, 621, 666, 581, 5739, 269, 24581, 4764, 666, 1291, 547, 3037, 11761, 267, 1216, 8421, 3101, 267, 543, 3037, 735, 9146, 267, 799, 666, 3441, 7031, 543, 2569, 6556, 269, 1677, 2061, 891, 2152, 267, 6705, 946, 1585, 4764, 4027, 2409, 538, 6683, 269, 769, 713, 2376, 267, 649, 3580, 1865, 519, 1114, 2010, 540, 4764, 4027, 2409, 267, 741, 2640, 267, 543, 519, 2591, 2404, 609, 873, 563, 15650, 540, 14175, 10466, 10613, 538, 11982, 454, 300, 592, 4221, 3322, 8720, 519, 3037, 1472, 7031, 609, 5214, 2326, 899, 12450, 267, 3762, 267, 610, 13626, 269, 901, 1505, 666, 948, 18359, 3037, 7509, 543, 10038, 3037, 2837, 269, 25109, 577, 666, 849, 2569, 3037, 11761, 676, 7303, 24467, 689, 11067, 2476, 519, 1283, 31542, 269, 3958, 267, 22890, 666, 16401, 18290, 2208, 267, 799, 666, 14526, 609, 7031, 585, 5567, 543, 1216, 563, 16675, 17346, 616, 20583, 3889, 602, 1683, 513, 6417, 1604, 585, 7031, 269, 1358, 616, 2356, 1500, 540, 4837, 610, 5068, 543, 666, 2039, 538, 2450, 689, 1507, 18147, 3889, 547, 1804, 5010, 6703, 269, 5682, 17346, 666, 2149, 7031, 689, 4764, 267, 2842, 267, 543, 3665, 5210, 269, 1358, 849, 1683, 513, 7123, 1604, 585, 2371, 547, 1332, 538, 267, 799, 666, 1291, 547, 2362, 11729, 543, 1732, 7779, 3132, 563, 305, 664, 24181, 616, 10151, 3889, 602, 616, 1031, 547, 2149, 7031, 689, 5230, 4764, 269, 1358, 616, 3335, 1500, 540, 5068, 610, 824, 28890, 2326, 543, 666, 581, 1305, 909, 3533, 543, 3362, 269, 14175, 24181, 616, 1419, 1031, 585, 7031, 602, 616, 6213, 547, 1216, 267, 971, 607, 5613, 543, 5388, 269, 1358, 666, 849, 581, 1031, 547, 2149, 7031, 1282, 519, 6079, 1782, 3942, 267, 799, 568, 950, 789, 616, 1034, 7925, 547, 4764, 3441, 563, 296, 337, 3419, 566, 1949, 616, 1031, 547, 1683, 7031, 609, 1216, 950, 972, 568, 711, 2614, 4764, 269, 1358, 666, 849, 581, 1031, 547, 10038, 519, 2179, 540, 1216, 602, 7031, 4309, 267, 799, 666, 2061, 1216, 8421, 3101, 543, 3037, 735, 9146, 269, 1703, 616, 1896, 2010, 540, 12555, 1949, 267, 1519, 20057, 2401, 12555, 267, 30620, 12555, 267, 543, 6360, 12555, 269, 3962, 1826, 814, 922, 1378, 5383, 543, 11393, 267, 4470, 593, 519, 7693, 543, 519, 1604, 563, 19119, 540, 14175, 10466, 538, 11982, 454, 7093, 28124, 14606, 661, 12509, 454, 3383, 559, 11761, 568, 513, 2101, 1966, 538, 6683, 267, 2523, 538, 2127, 609, 5230, 11811, 269, 1879, 24467, 729, 1127, 2476, 519, 1283, 31542, 267, 621, 666, 2014, 8770, 22930, 543, 2569, 3037, 12680, 269, 901, 666, 1291, 547, 2539, 7693, 11729, 543, 2539, 12434, 585, 6705, 269, 1635, 1210, 4764, 4027, 2409, 899, 15273, 4221, 543, 4764, 24181, 267, 6705, 666, 2061, 3037, 11761, 543, 2149, 741, 7031, 563, 305, 14445, 532, 4826, 8421, 3101, 543, 14606, 3281, 9146, 454, 32451, 1454, 4764, 666, 849, 2014, 1216, 8421, 3101, 543, 3037, 735, 9146, 267, 799, 666, 3441, 7693, 5072, 543, 2569, 8770, 19718, 269, 901, 666, 1291, 547, 25224, 539, 2208, 543, 2539, 7693, 11729, 269, 7054, 3419, 566, 1949, 666, 948, 10038, 519, 2179, 540, 1216, 602, 7031, 4309, 267, 799, 666, 2061, 1216, 8421, 3101, 543, 3037, 735, 9146, 563, 18719, 1324, 30495, 962, 1752, 543, 10866, 454, 305, 664, 4027, 2409, 666, 1291, 547, 2362, 7693, 11729, 543, 1732, 2298, 3132, 269, 1635, 3246, 513, 7123, 1604, 585, 7031, 547, 1332, 538, 267, 2409, 899, 3039, 17346, 543, 4764, 24181, 666, 2149, 7031, 689, 4764, 3441, 543, 3665, 5210, 269, 901, 666, 1291, 547, 2362, 11729, 543, 1732, 7779, 3132, 269, 25109, 4221, 666, 849, 2087, 3037, 12680, 543, 8770, 19718, 267, 799, 666, 1291, 547, 8902, 543, 811, 11327, 7031, 563, 29936, 540, 14175, 10466, 538, 11982, 454, 21798, 543, 20904, 540, 14175, 10466, 7010, 454, 305, 664, 4027, 1949, 899, 3039, 17346, 543, 12555, 1949, 666, 581, 7199, 547, 3888, 543, 2226, 269, 901, 666, 581, 513, 2101, 11064, 585, 1507, 8397, 6705, 267, 945, 949, 711, 723, 519, 2200, 547, 1902, 538, 891, 1949, 269, 3958, 267, 4764, 4027, 1949, 2154, 2834, 5826, 547, 2327, 602, 789, 616, 2324, 5265, 563, 13510, 22355, 540, 8249, 454, 5278, 4025, 949, 711, 723, 2614, 1216, 610, 2326, 547, 1118, 4764, 4027, 1949, 269, 901, 666, 1118, 621, 2352, 585, 6705, 547, 2936, 4764, 4027, 2409, 269, 769, 930, 2665, 267, 6705, 949, 991, 547, 7048, 593, 519, 2229, 610, 1875, 3766, 21194, 3906, 547, 1683, 2200, 543, 1489, 585, 4764, 4027, 563, 5278, 4764, 4027, 2409, 267, 971, 607, 3039, 17346, 543, 12555, 1949, 267, 666, 723, 513, 2942, 2825, 1764, 269, 5682, 17346, 666, 2154, 1804, 5666, 540, 1648, 585, 8022, 543, 9023, 267, 543, 12555, 1949, 666, 1291, 547, 1216, 3653, 543, 3037, 2892, 514, 1436, 269, 26478, 991, 547, 1589, 827, 875, 741, 4764, 4027, 2409, 1860, 519, 1604, 543, 3442, 2409, 602, 616, 1279, 18835, 543, 1434, 585, 519, 1604, 563, 305, 664, 4027, 568, 606, 1271, 2460, 540, 6683, 602, 666, 948, 6705, 2087, 7693, 11729, 543, 2298, 1247, 7303, 3441, 689, 5230, 4764, 269, 1703, 616, 1896, 2409, 540, 4764, 4027, 267, 1519, 15273, 4221, 267, 3039, 17346, 267, 4764, 24181, 267, 543, 12555, 1949, 269, 3962, 1505, 814, 922, 1378, 2640, 543, 2591, 267, 543, 6705, 991, 547, 3442, 519, 1505, 602, 1568, 1655, 585, 741, 7693, 543, 1604, 269, 2755, 972, 616, 2591, 2404, 609, 4764, 4027, 2409, 267, 519, 2640, 540, 7863, 7031, 689, 4764, 29387, 519, 3790, 269, 1635, 7598, 4764, 4027, 2409, 267, 6705, 666, 2087, 741, 7607, 543, 20656, 1247, 849, 7863, 519, 1604, 563, 304, 281, 1548, 568, 4764, 4027, 538, 6683, 888, 9172, 281, 769, 6683, 267, 968, 1778, 4027, 892, 4016, 547, 519, 2994, 6964, 676, 6705, 547, 13104, 741, 7031, 689, 519, 2800, 602, 5230, 11811, 666, 2014, 269, 1452, 2409, 666, 1331, 1210, 4764, 24181, 267, 15273, 4221, 267, 3039, 17346, 267, 543, 12555, 1949, 563, 304, 281, 4208, 568, 4764, 4027, 1271, 538, 6683, 888, 9172, 281, 14175, 4027, 568, 1271, 538, 6683, 1317, 5230, 11811, 666, 3441, 7031, 543, 2569, 6556, 269, 4635, 2409, 547, 2149, 1996, 4764, 666, 3247, 3037, 11761, 267, 1216, 8421, 3101, 267, 543, 3037, 735, 9146, 267, 782, 540, 799, 616, 3983, 585, 7031, 269, 3958, 267, 4764, 4027, 2409, 666, 2087, 7693, 6556, 543, 2298, 676, 3246, 513, 7123, 1604, 585, 2371, 547, 1332, 538, 563, 304, 282, 1548, 616, 519, 2640, 540, 4764, 4027, 538, 6683, 888, 1103, 6683, 267, 4764, 4027, 2337, 1832, 519, 3037, 689, 11067, 2476, 267, 11912, 1524, 593, 1216, 8421, 3101, 543, 3037, 735, 9146, 267, 543, 4679, 7693, 6556, 543, 2298, 269, 10613, 585, 5329, 4764, 2476, 666, 849, 3247, 18047, 689, 3395, 267, 1832, 3037, 5848, 267, 543, 2149, 7031, 950, 789, 616, 693, 741, 1034, 7925, 563, 304, 281, 1548, 616, 519, 2591, 540, 4764, 4027, 538, 6683, 888, 763, 2591, 540, 4764, 4027, 538, 6683, 666, 1331, 519, 1942, 543, 5826, 540, 4764, 4027, 1949, 267, 519, 3908, 8244, 540, 2200, 267, 543, 519, 1761, 2825, 1764, 540, 4764, 4027, 2409, 269, 3958, 267, 930, 4764, 4027, 2409, 949, 711, 581, 5078, 585, 782, 7031, 610, 5054, 563, 304, 281, 1548, 616, 930, 1806, 540, 4764, 4027, 2409, 888, 14300, 540, 4764, 4027, 2409, 1331, 15273, 4221, 267, 3039, 17346, 267, 4764, 24181, 267, 543, 12555, 1949, 269, 0, 1103, 519, 2068, 267, 799, 4386, 950, 519, 14189, 983, 5160, 602, 3029, 519, 6418, 851, 540, 519, 19786, 543, 3123, 18492, 11702, 267, 1634, 1851, 519, 1004, 607, 513, 10217, 28144, 267, 3029, 513, 28144, 538, 519, 30124, 610, 568, 7839, 538, 513, 1560, 3148, 267, 519, 6418, 9245, 4494, 540, 519, 19786, 568, 4092, 16382, 621, 568, 4092, 543, 666, 2014, 1585, 2942, 2175, 538, 602, 1418, 269, 6884, 713, 666, 581, 519, 30124, 267, 3006, 519, 14159, 13570, 267, 519, 24026, 267, 519, 15485, 267, 519, 9641, 543, 1256, 519, 2634, 269, 1452, 8219, 267, 1141, 519, 28144, 568, 4092, 267, 666, 2014, 3978, 2042, 563, 294, 344, 928, 19223, 543, 6188, 564, 7879, 11285, 4515, 269, 3220, 590, 11253, 1002, 339, 514, 918, 636, 745, 267, 945, 5795, 519, 1344, 602, 519, 1973, 602, 814, 547, 581, 30461, 1282, 28689, 4422, 1394, 998, 519, 13740, 543, 689, 972, 19082, 547, 519, 14159, 13570, 267, 24026, 543, 30124, 267, 1767, 281, 968, 2005, 568, 5156, 602, 519, 2713, 26707, 7434, 2281, 538, 713, 1973, 7017, 538, 519, 1418, 1141, 789, 979, 543, 3136, 547, 1332, 972, 269, 2701, 1767, 281, 968, 18131, 945, 723, 11213, 5712, 267, 2523, 2021, 4171, 1928, 3587, 811, 14733, 538, 7766, 5712, 267, 711, 1310, 519, 1101, 1974, 267, 1058, 1294, 513, 4387, 3034, 2108, 5353, 3164, 18492, 1928, 1058, 581, 3144, 12517, 7536, 306, 11253, 1002, 339, 514, 918, 636, 745, 2829, 602, 3006, 10217, 30219, 1332, 3623, 1836, 538, 519, 9065, 776, 267, 2014, 1100, 20286, 543, 585, 824, 4128, 616, 4362, 676, 4960, 609, 4255, 971, 607, 16953, 610, 18909, 269, 540, 26707, 686, 2670, 538, 824, 4025, 269, 898, 1131, 581, 3617, 547, 14353, 26707, 686, 2670, 610, 10217, 30219, 267, 2523, 538, 1346, 945, 723, 18492, 1928, 630, 323, 903, 5443, 27695, 264, 1256, 1498, 741, 1101, 1974, 568, 1928, 1652, 269, 6270, 513, 3510, 543, 4049, 18492, 1928, 1058, 581, 3144, 883, 2272, 2223, 646, 1767, 563, 2108, 9377, 514, 1438, 5868, 568, 1500, 676, 6806, 6391, 7536, 763, 1271, 2589, 540, 519, 2068, 1331, 4049, 18492, 1928, 602, 4386, 2663, 267, 1928, 1282, 4638, 2534, 610, 1219, 1815, 566, 267, 11926, 543, 2407, 1145, 540, 519, 17737, 267, 607, 1134, 607, 3586, 9240, 514, 1928, 267, 543, 2417, 7634, 538, 2474, 540, 10217, 28144, 610, 26707, 686, 2670, 540, 2021, 945, 616, 8572, 547, 32230, 630, 8882, 1068, 850, 3738, 1256, 1498, 789, 1616, 547, 1205, 9176, 269, 13207, 732, 602, 4515, 269, 1743, 269, 3220, 590, 11253, 1002, 339, 514, 918, 636, 745, 7150, 602, 16953, 6514, 568, 2356, 5340, 855, 621, 568, 16601, 547, 4894, 519, 30219, 676, 22272, 541, 22000, 630, 743, 2216, 6391, 264, 610, 22272, 541, 30315, 630, 641, 2287, 540, 519, 17737, 264, 2409, 543, 6494, 873, 585, 27690, 6514, 585, 4977 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16739, 318, 15674, 32707, 3041, 303, 6369, 312, 815, 476, 276, 7531, 333, 321, 15058, 5091, 823, 815, 476, 276, 454, 333, 321, 15058, 7272, 6372, 318, 719, 3699, 815, 476, 736, 454, 333, 321, 15058, 318, 5865, 815, 1496, 275, 267, 476, 277, 267, 476, 279, 267, 476, 1321, 267, 476, 736, 2639, 1506, 13607, 12330, 318, 22238, 3809, 815, 1496, 271, 269, 273, 316, 2608, 562, 321, 15058, 5091, 823, 454, 719, 3699, 318, 22238, 3809, 815, 1496, 14085, 316, 2608, 562, 321, 15058, 7272, 6372, 318, 719, 3699, 692, 6112, 6936, 912, 825, 2119, 912, 1038, 562, 321, 15058, 318, 4751, 338, 815, 703, 9272, 3488, 11767, 519, 5551, 1297, 540, 2053, 513, 14477, 6074, 5884, 786, 581, 5641, 281, 1412, 4917, 1038, 2736, 454, 825, 4849, 912, 1038, 1780, 692, 577, 4923, 5332, 321, 15058, 318, 5865, 815, 3903, 3799, 321, 15058, 318, 5865, 994, 2745, 28361, 333, 1607, 568, 513, 5728, 267, 855, 519, 6074, 5884, 568, 519, 835, 609, 2715, 281, 348, 8188, 14826, 8339, 8971, 263, 577, 4923, 5332, 321, 15058, 318, 5865, 4917, 1721, 5641, 538, 2039, 3799, 321, 15058, 318, 4751, 338, 2187, 825, 585, 2009, 318, 719, 2492, 538, 2039, 3799, 321, 15058, 7272, 6372, 318, 719, 3699, 2187, 1038, 4093, 318, 22238, 3809, 314, 335, 6372, 318, 719, 2492, 316, 815, 476, 271, 454, 1038, 1948, 2913, 670, 318, 272, 267, 10371, 1421, 670, 318, 276, 581, 519, 19165, 602, 519, 6074, 5884, 814, 476, 275, 267, 476, 277, 267, 476, 279, 267, 476, 1321, 267, 476, 736, 5011, 267, 6606, 563, 1038, 1948, 2913, 667, 581, 519, 8367, 602, 519, 2063, 5641, 6556, 562, 585, 513, 1880, 1297, 562, 1063, 476, 272, 543, 519, 1297, 540, 5011, 540, 519, 6074, 5884, 563, 1038, 1948, 3973, 267, 3954, 7627, 676, 533, 519, 5506, 1599, 267, 533, 20573, 264, 815, 533, 20573, 26260, 318, 272, 264, 335, 263, 295, 318, 272, 264, 1341, 3267, 1341, 533, 20573, 26260, 318, 276, 264, 335, 263, 295, 318, 276, 994, 1038, 1948, 1141, 533, 20573, 26260, 10983, 264, 2652, 476, 271, 538, 2013, 562, 568, 3152, 982, 519, 1297, 540, 5011, 540, 519, 5884, 2404, 609, 670, 10983, 563, 1038, 585, 5884, 538, 2039, 3799, 321, 15058, 5091, 823, 2187, 2018, 952, 2009, 318, 719, 2492, 2999, 562, 321, 15058, 318, 5865, 314, 23135, 14158, 3546, 4093, 318, 22238, 3809, 314, 335, 6372, 318, 719, 2492, 316, 6834, 19165, 318, 22238, 3809, 314, 23135, 316, 1315, 562, 321, 15058, 318, 5865, 314, 23135, 2639, 825, 1297, 318, 4751, 815, 3903, 263, 9792, 263, 577, 4923, 5332, 321, 15058, 318, 5865, 4917, 825, 585, 5884, 538, 2039, 3799, 321, 15058, 5091, 823, 2187, 1038, 952, 1297, 318, 4751, 13843, 562, 321, 15058, 318, 5865, 314, 23135, 13912, 2018, 454, 2018, 19165, 318, 22238, 3809, 314, 23135, 316, 815, 476, 271, 454, 1038, 3116, 912, 2018, 1948, 634, 2025, 1871, 540, 19165, 318, 22238, 3809, 314, 23135, 316, 568, 519, 1991, 4534, 533, 263, 295, 10983, 264, 4534, 267, 543, 454, 2018, 1948, 519, 1007, 1871, 540, 19165, 318, 22238, 3809, 314, 23135, 316, 568, 519, 17911, 4534, 533, 263, 295, 10983, 22230, 264, 4534, 563, 2018, 1948, 1284, 4019, 7345, 525, 4341, 281, 533, 263, 295, 10983, 22230, 264, 815, 533, 20573, 26260, 10983, 264, 2608, 533, 263, 295, 10983, 264, 1315, 533, 20573, 994, 2018, 1948, 609, 533, 20573, 26260, 10983, 264, 815, 476, 272, 1315, 562, 321, 15058, 318, 5865, 314, 23135, 2639, 2018, 1948, 8587, 533, 263, 295, 10983, 264, 815, 19165, 318, 22238, 3809, 314, 23135, 2639, 2018, 1948, 8587, 533, 20573, 264, 815, 4093, 318, 22238, 3809, 314, 15893, 318, 4751, 2639, 2018, 19165, 318, 22238, 3809, 314, 23135, 316, 815, 19165, 318, 22238, 3809, 314, 23135, 316, 1315, 630, 333, 321, 15058, 318, 5865, 314, 23135, 316, 2608, 4093, 318, 22238, 3809, 314, 15893, 318, 4751, 7481, 825, 952, 5641, 2999, 715, 289, 318, 29996, 318, 306, 8379, 308, 6369, 16739, 318, 15674, 32707, 3041, 303, 6369, 312, 912, 1038, 1820, 3488, 763, 5884, 602, 814, 1044, 5641, 11729, 281, 2715, 281, 348, 8339, 8971, 28840, 318, 4751, 1341, 476, 272, 4917, 1038, 1820, 3488, 763, 8242, 18062, 2625, 8494, 625, 616, 281, 5073, 1038, 585, 5884, 538, 2039, 3799, 321, 15058, 5091, 823, 2187, 2018, 1820, 28361, 339, 346, 281, 273, 323, 348, 281, 2715, 15545, 273, 325, 348, 260, 8339, 8971, 3799, 321, 15058, 318, 5865, 314, 23135, 3910, 19165, 318, 22238, 3809, 314, 23135, 316, 2608, 476, 1911, 4917, 1038, 1820, 4590, 604, 562, 321, 15058, 318, 4751, 338, 3436, 715, 289, 318, 29996, 318, 306, 8379, 308, 6369, 16739, 318, 15674, 32707, 3041, 303, 6369, 312, 912, 825, 1820, 3488, 763, 3803, 17831, 616, 281, 10807, 17264, 3097, 825, 585, 5884, 538, 2039, 3799, 321, 15058, 5091, 823, 2187, 1038, 1820, 28361, 339, 346, 281, 273, 323, 348, 281, 2715, 15545, 273, 325, 348, 260, 8339, 8971, 3799, 321, 15058, 318, 5865, 314, 23135, 3910, 19165, 318, 22238, 3809, 314, 23135, 316, 2608, 476, 1911, 4917, 13872, 8931, 8931, 0, 258, 21964, 2817, 4578, 593, 519, 3448, 4908, 540, 2016, 4408, 538, 519, 2551, 454, 258, 540, 772, 2529, 269, 24570, 267, 6740, 538, 513, 15682, 834, 12849, 2580, 538, 6119, 3957, 834, 344, 984, 16282, 16282, 17902, 454, 258, 609, 1535, 16282, 343, 630, 1492, 1032, 540, 4332, 264, 8151, 689, 476, 6642, 271, 547, 476, 1001, 274, 563, 16482, 258, 8871, 14186, 519, 3593, 585, 513, 4775, 1101, 2012, 267, 543, 9060, 856, 519, 1296, 950, 713, 454, 258, 2012, 729, 1034, 2442, 538, 2474, 540, 20823, 269, 2598, 680, 904, 519, 20823, 267, 543, 519, 1296, 454, 258, 538, 13302, 1931, 540, 4908, 563, 258, 3097, 258, 18838, 676, 25909, 1855, 784, 543, 18238, 9410, 585, 19766, 3445, 273, 272, 7531, 5814, 19523, 454, 5814, 15259, 692, 339, 1173, 9643, 6958, 1009, 12173, 815, 3403, 3488, 11767, 513, 4775, 1101, 2012, 281, 30386, 17213, 815, 10581, 3488, 8882, 17210, 12895, 14729, 8986, 815, 29129, 258, 8073, 513, 1592, 267, 1296, 8217, 267, 585, 4775, 1101, 4408, 267, 4994, 532, 1142, 4737, 607, 519, 454, 258, 7584, 1210, 519, 26246, 1599, 4358, 689, 476, 272, 2864, 982, 476, 271, 267, 2094, 1142, 454, 258, 512, 868, 3758, 568, 2907, 15044, 689, 5207, 547, 9803, 512, 958, 780, 344, 8986, 8217, 815, 11713, 14403, 815, 11713, 2181, 2365, 318, 17213, 815, 476, 271, 692, 1721, 32197, 538, 15259, 269, 4289, 323, 597, 3488, 12849, 262, 2187, 825, 952, 711, 32197, 269, 1742, 5976, 3488, 269, 339, 868, 262, 2187, 1038, 3136, 454, 825, 3758, 815, 1930, 3488, 12849, 270, 262, 1341, 32197, 267, 1412, 337, 5073, 825, 2698, 815, 476, 271, 454, 825, 9206, 815, 8771, 22562, 825, 585, 1775, 267, 1899, 538, 26246, 31526, 267, 1376, 284, 272, 2187, 1038, 7584, 815, 1775, 454, 1038, 1032, 815, 1412, 7055, 13872, 1038, 585, 524, 538, 32197, 912, 2018, 952, 524, 18994, 323, 13424, 10031, 3546, 1032, 6834, 524, 454, 1038, 1101, 12173, 267, 3023, 267, 512, 958, 815, 1899, 21858, 263, 12887, 2020, 1038, 952, 3023, 2652, 1412, 293, 12466, 2018, 2698, 6834, 703, 6025, 958, 994, 27030, 1038, 952, 6098, 6958, 1009, 12173, 538, 1899, 912, 2018, 952, 6098, 6958, 1009, 12173, 2652, 1101, 12173, 912, 3546, 952, 3023, 2652, 1412, 300, 12466, 7386, 3136, 454, 3546, 3116, 912, 258, 24951, 519, 7584, 1063, 519, 3105, 543, 1699, 7584, 585, 1142, 2016, 1032, 2676, 258, 20808, 1152, 519, 9803, 7584, 602, 568, 811, 982, 476, 271, 269, 774, 992, 2476, 782, 2609, 538, 454, 258, 519, 1296, 18380, 1592, 5627, 519, 2609, 689, 519, 3105, 318, 17213, 676, 7962, 3539, 454, 258, 621, 267, 952, 1699, 7584, 568, 1447, 982, 3105, 318, 17213, 563, 7386, 952, 3105, 318, 17213, 2652, 476, 271, 912, 13376, 3105, 318, 17213, 815, 7584, 454, 7386, 8640, 7584, 2999, 3105, 318, 17213, 912, 13376, 3105, 318, 17213, 815, 7584, 454, 13376, 1296, 8217, 815, 11713, 4449, 13872, 7386, 8640, 7584, 3436, 3105, 318, 17213, 912, 13376, 3136, 454, 258, 1280, 782, 2609, 602, 11886, 2783, 540, 1373, 519, 5207, 7584, 267, 16289, 519, 454, 258, 2609, 538, 3898, 1032, 270, 17213, 14121, 958, 883, 519, 1296, 8217, 1592, 799, 786, 2285, 454, 258, 20886, 1001, 272, 267, 476, 272, 267, 476, 24241, 4200, 3910, 1496, 1001, 273, 267, 476, 272, 267, 476, 19442, 3393, 3910, 1496, 1001, 274, 267, 476, 272, 267, 476, 13975, 4037, 14963, 585, 20153, 807, 269, 7827, 519, 454, 258, 9206, 1871, 547, 6936, 865, 602, 649, 666, 798, 1945, 950, 713, 4523, 563, 7386, 6221, 815, 1496, 842, 12169, 792, 1070, 7584, 267, 703, 6025, 958, 22708, 7386, 1296, 8217, 6910, 263, 14403, 994, 7386, 9206, 815, 6936, 692, 258, 22417, 519, 512, 958, 540, 2063, 1032, 621, 5526, 630, 274, 6113, 3693, 538, 1016, 4289, 264, 883, 454, 258, 4908, 676, 12270, 621, 676, 2698, 267, 1437, 908, 950, 9206, 568, 6936, 799, 568, 950, 606, 454, 258, 3606, 1032, 1239, 568, 3773, 547, 519, 1592, 563, 825, 952, 9206, 2652, 6936, 281, 28768, 1038, 1296, 8217, 15631, 272, 6012, 273, 316, 1315, 284, 2698, 3097, 4449, 8931, 825, 3758, 25379, 3890, 8528, 258, 23037, 519, 1296, 8217, 676, 519, 4908, 799, 568, 519, 476, 274, 6113, 3693, 630, 528, 4994, 476, 273, 264, 540, 454, 258, 1142, 1016, 4289, 267, 4358, 689, 5207, 547, 9803, 4908, 267, 799, 568, 513, 27312, 454, 258, 1931, 540, 4908, 563, 344, 8986, 8217, 31699, 31107, 284, 14433, 1535, 281, 1535, 314, 273, 3910, 9258, 815, 6936, 2020, 258, 10925, 519, 1296, 8217, 883, 1655, 14729, 8986, 630, 6518, 568, 606, 8900, 1592, 1916, 12895, 14729, 8986, 815, 1296, 8217, 7531, 604, 711, 1655, 14729, 8986, 912, 825, 1820, 3488, 346, 281, 348, 568, 711, 513, 4775, 1101, 2012, 538, 1250, 5638, 269, 8339, 8971, 6025, 1173, 9643, 6958, 1009, 12173, 4917, 12828, 912, 825, 1820, 3488, 3528, 13302, 1931, 540, 4908, 267, 2715, 281, 348, 729, 1034, 2442, 538, 519, 1296, 281, 29717, 8971, 6025, 1173, 9643, 6958, 1009, 12173, 1070, 1439, 815, 1412, 5073, 825, 585, 1032, 538, 1655, 14729, 8986, 912, 258, 7179, 1152, 519, 1101, 3693, 585, 1142, 6221, 538, 1655, 14729, 8986, 1592, 454, 1038, 1820, 12169, 792, 314, 271, 3910, 1439, 815, 1412, 30386, 1038, 7584, 815, 1032, 314, 272, 2639, 825, 1820, 28361, 333, 21132, 7584, 729, 2715, 281, 348, 1287, 269, 8339, 8971, 16868, 1678, 4917, 0, 258, 4347, 1149, 513, 1362, 547, 4383, 513, 1592, 540, 2418, 609, 519, 1739, 4238, 912, 258, 910, 1039, 513, 1871, 538, 32568, 942, 6988, 3248, 258, 910, 18419, 519, 10545, 1871, 267, 18419, 519, 4102, 1871, 538, 3586, 942, 6988, 3248, 258, 910, 2132, 519, 11667, 538, 3586, 942, 6988, 563, 16482, 258, 18838, 676, 18238, 9410, 585, 19766, 3445, 273, 272, 692, 5228, 10862, 318, 28255, 1104, 2608, 692, 5035, 2405, 1014, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1948, 1677, 4558, 519, 1101, 3368, 540, 519, 2418, 267, 519, 4102, 540, 799, 568, 540, 5207, 10862, 454, 1038, 1582, 27982, 7272, 336, 815, 7665, 26212, 640, 20075, 826, 4590, 1038, 1948, 1677, 4558, 519, 2034, 3368, 540, 519, 2418, 267, 519, 10545, 540, 799, 568, 540, 5207, 10862, 454, 1038, 1582, 269, 2381, 7272, 336, 815, 3687, 26212, 640, 20075, 826, 10797, 825, 1219, 562, 321, 15058, 21223, 6123, 4311, 2187, 1038, 2132, 7003, 4311, 27982, 7272, 336, 264, 1341, 7003, 4311, 269, 2381, 7272, 336, 2020, 825, 1219, 11667, 4311, 2187, 1038, 952, 7003, 4311, 27982, 7272, 336, 264, 3436, 7003, 4311, 269, 2381, 7272, 336, 2187, 2018, 2132, 1582, 27982, 7272, 336, 6745, 641, 7272, 1874, 640, 4590, 1038, 952, 7003, 4311, 269, 2381, 7272, 336, 264, 3436, 7003, 4311, 27982, 7272, 336, 2187, 2018, 2132, 1582, 269, 2381, 7272, 336, 6745, 641, 7272, 1874, 640, 4590, 1038, 2132, 630, 1345, 27982, 7272, 336, 6745, 641, 7272, 1874, 640, 3890, 1341, 1582, 269, 2381, 7272, 336, 6745, 641, 7272, 1874, 640, 28829, 1315, 476, 273, 692, 825, 1219, 7696, 4311, 267, 3693, 2187, 1038, 1948, 1684, 711, 21898, 609, 1079, 1082, 2665, 538, 2013, 649, 616, 4946, 519, 2034, 3693, 912, 1038, 1948, 1577, 621, 6443, 519, 2427, 609, 519, 1101, 3693, 543, 1577, 556, 25270, 3890, 1118, 2386, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 23558, 593, 13941, 9108, 593, 713, 15116, 4541, 1572, 3047, 256, 1306, 596, 2253, 707, 3408, 267, 596, 3513, 4166, 3605, 602, 3425, 616, 1950, 7919, 609, 6946, 1514, 3889, 267, 1519, 3347, 269, 2290, 2629, 2460, 540, 891, 4296, 568, 1565, 875, 547, 6023, 4835, 7526, 269, 901, 3102, 3391, 786, 3802, 596, 998, 519, 1184, 267, 7713, 1169, 1469, 689, 15072, 780, 1262, 3721, 476, 272, 281, 13760, 1548, 513, 20556, 1772, 4373, 288, 2078, 4016, 547, 513, 4276, 1063, 1079, 610, 811, 2043, 267, 1419, 5473, 3929, 7554, 267, 3838, 2833, 267, 543, 8994, 1489, 269, 18972, 4497, 538, 1585, 2010, 540, 3347, 267, 971, 607, 11509, 12352, 630, 3697, 7365, 1070, 17052, 267, 1920, 13218, 267, 543, 3318, 12205, 780, 2414, 1174, 3347, 1732, 267, 4952, 2789, 16060, 8220, 1004, 781, 12271, 543, 8186, 269, 1452, 16060, 2099, 4664, 267, 3972, 267, 2792, 267, 543, 3838, 8823, 269, 1879, 7526, 8451, 267, 621, 781, 899, 835, 610, 811, 540, 891, 16060, 1205, 8126, 1194, 610, 7745, 267, 4929, 9636, 543, 8082, 1369, 519, 2078, 780, 1262, 3721, 476, 273, 281, 25506, 20050, 540, 18378, 18366, 4373, 1103, 4156, 4655, 4386, 950, 972, 781, 513, 24895, 610, 25314, 2255, 1063, 2043, 1369, 513, 2078, 269, 898, 666, 8915, 538, 1114, 2081, 1384, 265, 2878, 19723, 4472, 595, 1132, 5093, 14780, 2213, 9739, 267, 10792, 3159, 267, 10413, 995, 1913, 267, 610, 26878, 2880, 24616, 563, 265, 2878, 15239, 13305, 518, 4472, 595, 1132, 5093, 3680, 532, 3750, 3346, 267, 18084, 7916, 267, 5083, 539, 17534, 267, 610, 10728, 1560, 1893, 563, 265, 2878, 10387, 10899, 13786, 525, 5093, 28214, 14220, 267, 21616, 267, 8909, 267, 14221, 267, 610, 17872, 563, 265, 2878, 6826, 24173, 15448, 5093, 2060, 9526, 531, 267, 21084, 267, 610, 12809, 268, 12000, 4809, 3527, 780, 28324, 3007, 547, 891, 4191, 267, 607, 789, 5815, 5817, 2152, 602, 991, 5466, 780, 1262, 3721, 476, 274, 281, 10576, 519, 11905, 540, 519, 18366, 4373, 2414, 8207, 4835, 7526, 267, 596, 1590, 1101, 2697, 741, 3597, 2014, 269, 9105, 3054, 2055, 899, 1384, 265, 1548, 15427, 519, 4661, 888, 265, 3657, 972, 1022, 796, 637, 9407, 2250, 2152, 7700, 547, 519, 1699, 8082, 888, 265, 3657, 972, 3604, 538, 2418, 267, 4978, 267, 610, 6788, 2496, 13914, 540, 7114, 519, 2707, 607, 4466, 519, 24516, 538, 519, 8142, 8204, 519, 2078, 269, 4495, 596, 12398, 519, 3390, 267, 596, 666, 1376, 2324, 2509, 2150, 836, 1782, 621, 780, 1262, 3721, 476, 275, 281, 4004, 6510, 6356, 1947, 4373, 31636, 568, 1883, 547, 20547, 4835, 7526, 269, 3371, 781, 875, 547, 798, 621, 3927, 1384, 265, 2878, 16521, 519, 9406, 5384, 543, 9255, 5093, 4855, 513, 4357, 267, 6899, 4259, 1141, 1312, 6105, 1745, 2922, 11589, 2933, 1510, 19240, 610, 14443, 687, 563, 265, 2878, 8196, 1412, 296, 262, 32276, 5093, 5502, 540, 1025, 5446, 1866, 9497, 2791, 2141, 29389, 1070, 2769, 4606, 1210, 1412, 296, 262, 6898, 9497, 296, 1745, 29389, 1040, 901, 2337, 2057, 1219, 839, 4369, 543, 8992, 9562, 540, 4664, 563, 265, 2878, 30874, 23016, 5093, 9796, 3007, 547, 1018, 519, 824, 1268, 3081, 267, 4509, 3750, 3346, 543, 12162, 3429, 547, 1397, 1620, 269, 19244, 1394, 1018, 596, 4312, 4862, 547, 2327, 8223, 563, 265, 2878, 22879, 3955, 4533, 687, 5093, 2913, 1142, 1268, 9096, 6340, 1354, 14775, 269, 3955, 4533, 532, 666, 1291, 547, 2417, 21390, 543, 15583, 622, 13253, 780, 8855, 267, 2500, 2792, 3322, 6947, 8362, 267, 26003, 1944, 267, 543, 5587, 4328, 4145, 780, 1262, 3721, 476, 276, 281, 13773, 2836, 332, 543, 5927, 24602, 4373, 31572, 707, 4664, 1282, 7526, 568, 4105, 269, 6657, 1582, 30625, 676, 1384, 265, 2878, 21982, 12213, 22165, 26387, 5093, 769, 327, 1446, 7444, 998, 707, 9224, 267, 3180, 585, 513, 1906, 7643, 267, 543, 17938, 1446, 998, 707, 5023, 269, 901, 2337, 9350, 707, 8401, 1062, 563, 265, 2878, 290, 3300, 532, 20134, 32438, 5093, 29799, 2942, 4555, 609, 2318, 267, 7787, 3283, 269, 1280, 1383, 267, 3079, 540, 3206, 834, 1607, 1268, 2760, 1592, 839, 2437, 2995, 3054, 834, 5445, 2811, 3843, 547, 5968, 282, 1577, 803, 6432, 5402, 4799, 265, 2878, 29248, 987, 1944, 5093, 10925, 3054, 538, 519, 824, 1268, 781, 10887, 543, 2119, 547, 1174, 741, 5133, 269, 31158, 1578, 741, 4606, 1256, 952, 596, 10990, 609, 873, 780, 1805, 11691, 9350, 543, 28450, 5932, 513, 20009, 1604, 585, 16268, 6643, 543, 1966, 9010, 780, 1262, 3721, 476, 277, 281, 10312, 593, 10298, 13298, 20537, 2349, 877, 4373, 4537, 3424, 519, 1445, 689, 26471, 16620, 547, 4466, 3435, 1927, 269, 20985, 1966, 9010, 18791, 3347, 543, 11942, 2208, 780, 265, 2878, 31711, 5871, 17644, 5093, 10576, 2127, 540, 6876, 543, 960, 4724, 20102, 6225, 4093, 563, 265, 2878, 31416, 10445, 8625, 5093, 2637, 4733, 2093, 15217, 267, 8716, 3552, 543, 3860, 10372, 563, 265, 2878, 24066, 10663, 18169, 5093, 8178, 5294, 543, 931, 540, 1142, 2856, 267, 8939, 1346, 1034, 2693, 547, 8011, 780, 3528, 2519, 593, 3435, 267, 596, 2981, 7526, 883, 3255, 585, 2208, 543, 6454, 780, 1262, 3721, 476, 278, 281, 7442, 860, 1125, 543, 1280, 326, 633, 4373, 25721, 3098, 543, 19807, 616, 1898, 3334, 540, 4655, 6571, 780, 265, 2878, 7712, 516, 7442, 1108, 5093, 18124, 1121, 16017, 585, 2800, 3361, 267, 2921, 5539, 585, 707, 3527, 269, 2422, 2453, 899, 834, 296, 729, 4636, 547, 29389, 610, 834, 7069, 3284, 3098, 585, 907, 4799, 265, 2878, 2690, 326, 633, 543, 8844, 28644, 5093, 24793, 1989, 644, 2471, 267, 15603, 979, 540, 32659, 543, 10845, 269, 1280, 326, 4369, 3085, 1405, 1611, 30534, 855, 2864, 14344, 519, 3992, 4121, 543, 3001, 4464, 780, 8505, 5782, 545, 3284, 3098, 543, 9758, 19807, 948, 544, 754, 8697, 16060, 538, 519, 2078, 5958, 780, 1262, 6962, 281, 29923, 18378, 18366, 22375, 4373, 21652, 1782, 4835, 7526, 3340, 9639, 267, 6568, 267, 3742, 6947, 267, 543, 513, 18515, 547, 1332, 1927, 269, 1635, 1739, 891, 3268, 267, 596, 3513, 1020, 1898, 1983, 585, 14637, 2635, 267, 2178, 3347, 1384, 265, 25506, 4191, 540, 4835, 4655, 454, 265, 10576, 519, 2707, 540, 519, 3390, 454, 265, 4004, 6510, 3927, 454, 265, 13773, 9350, 543, 28450, 454, 265, 10312, 593, 3435, 2864, 982, 16620, 454, 265, 7442, 860, 1125, 543, 31799, 692, 2026, 596, 6330, 519, 10848, 540, 1480, 3347, 267, 3314, 602, 7526, 616, 17149, 267, 855, 621, 781, 875, 596, 2232, 873, 602, 6927, 269, 2060, 2259, 267, 596, 3513, 1831, 21295, 538, 7829, 4835, 7526, 267, 14304, 707, 7554, 609, 1866, 543, 2870, 9434, 4296, 780, 8702, 547, 1272, 593, 3047, 267, 1250, 3659, 256, 2904, 707, 3347, 21707, 609, 10103, 543, 1620, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 21652, 548, 18378, 18366, 538, 17716, 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, 3848, 476, 1015, 281, 4197, 2817, 1143, 692, 5331, 596, 616, 693, 513, 13558, 6474, 1063, 1079, 6887, 8204, 1114, 2477, 269, 1411, 5873, 835, 1895, 540, 11655, 1750, 1359, 10978, 569, 609, 6612, 543, 11348, 585, 741, 2319, 269, 1358, 2811, 530, 3058, 17514, 267, 13465, 8964, 267, 543, 9849, 741, 2197, 781, 4778, 269, 901, 4743, 540, 2648, 543, 20174, 2509, 741, 4182, 568, 1018, 649, 1289, 18541, 256, 2913, 781, 4685, 4514, 883, 1620, 713, 1523, 780, 4089, 476, 272, 281, 1548, 568, 2817, 1143, 888, 28598, 5970, 596, 2479, 2219, 827, 1946, 1004, 1745, 865, 4448, 547, 741, 1378, 2197, 855, 949, 711, 723, 519, 1482, 13613, 547, 824, 4025, 1472, 519, 1158, 286, 4658, 1419, 2697, 9244, 609, 1866, 945, 2671, 2147, 9821, 267, 4654, 267, 5389, 267, 543, 12583, 1107, 891, 1919, 948, 1106, 938, 2189, 2686, 9163, 269, 1879, 2043, 2097, 1927, 1759, 593, 741, 3838, 3961, 267, 621, 5932, 1945, 1572, 513, 1412, 31766, 9538, 1656, 950, 789, 2769, 2178, 14017, 610, 20174, 547, 602, 4182, 267, 602, 781, 950, 649, 1294, 18541, 538, 2962, 780, 12244, 281, 6056, 827, 707, 5172, 9702, 11812, 610, 2245, 269, 1215, 1281, 621, 1921, 596, 547, 707, 1920, 267, 2828, 267, 543, 2146, 286, 9181, 707, 4555, 609, 513, 7649, 780, 4089, 476, 273, 281, 7756, 9537, 540, 2817, 1143, 454, 14343, 7042, 2467, 3884, 1405, 1175, 835, 1826, 540, 18541, 282, 972, 616, 2965, 1896, 5686, 256, 2368, 6082, 1445, 593, 14120, 741, 3309, 4529, 1369, 519, 2197, 267, 1247, 1866, 1522, 11168, 811, 12600, 3344, 899, 1893, 610, 4984, 269, 1284, 666, 30387, 18541, 883, 1614, 1292, 2010, 281, 18523, 267, 6803, 267, 543, 12666, 780, 2162, 595, 15960, 2817, 1143, 692, 1607, 1826, 540, 18541, 7512, 9322, 1851, 4961, 7488, 540, 5198, 267, 4008, 267, 2528, 267, 610, 4984, 269, 898, 6212, 593, 3838, 2418, 971, 607, 9111, 267, 1480, 2924, 267, 543, 7862, 1354, 519, 1876, 269, 1280, 1383, 267, 538, 519, 2136, 2276, 267, 1004, 689, 1585, 10080, 26595, 896, 519, 3741, 13890, 538, 922, 9139, 780, 2162, 23532, 2817, 1143, 692, 4002, 519, 824, 1688, 267, 6803, 18541, 7740, 1472, 1455, 22693, 267, 1893, 267, 610, 3909, 4978, 269, 15706, 10362, 547, 1978, 7292, 610, 6803, 2516, 3494, 789, 3180, 12600, 2924, 547, 741, 8513, 269, 1323, 1383, 1131, 581, 930, 3665, 3029, 540, 28929, 5322, 538, 2342, 1282, 2622, 2782, 4083, 780, 2162, 27565, 2817, 1143, 692, 299, 28515, 18541, 13290, 547, 1265, 513, 3666, 1063, 18523, 543, 6803, 3084, 3359, 269, 4675, 13024, 8044, 602, 7071, 585, 4763, 18791, 2864, 982, 4617, 839, 519, 4182, 269, 4516, 568, 1634, 585, 8508, 18371, 1143, 267, 799, 9356, 713, 2856, 780, 4089, 476, 274, 281, 15474, 543, 20134, 12186, 540, 2817, 1143, 454, 24801, 15365, 12024, 1022, 3532, 3196, 267, 18541, 814, 1312, 2318, 543, 2942, 4539, 269, 2201, 519, 6505, 2427, 267, 621, 666, 8300, 32742, 267, 1514, 22122, 267, 543, 7104, 2962, 269, 1717, 267, 950, 3144, 1932, 2484, 267, 18541, 666, 1291, 547, 14882, 267, 7130, 267, 4655, 267, 543, 1256, 2112, 780, 13914, 1394, 547, 519, 13558, 3014, 9183, 5018, 4505, 269, 1403, 3025, 7028, 741, 9757, 6887, 9020, 16484, 2943, 31635, 267, 621, 11942, 23274, 543, 7874, 6735, 269, 1809, 952, 18793, 1831, 22350, 10728, 610, 10795, 4724, 15852, 5011, 1813, 547, 2620, 5498, 730, 1918, 13920, 267, 1287, 3084, 2065, 4606, 1223, 1267, 538, 5739, 4093, 780, 12244, 281, 14484, 593, 8320, 1141, 596, 723, 2938, 18541, 1404, 856, 9797, 610, 11874, 269, 9523, 707, 7422, 609, 513, 1507, 1895, 543, 1865, 875, 1142, 3510, 1522, 723, 5828, 856, 8335, 1185, 18541, 1044, 9415, 610, 27209, 780, 6962, 454, 29603, 8139, 18541, 2337, 721, 5660, 519, 1950, 6384, 3297, 2518, 6214, 543, 3486, 1894, 269, 1635, 9301, 922, 1761, 5222, 1107, 1312, 1434, 543, 3983, 1107, 649, 2744, 3407, 4030, 883, 1018, 11479, 1004, 6306, 610, 6770, 873, 6251, 1927, 269, 1306, 2104, 3401, 267, 1373, 3222, 540, 891, 4229, 786, 5512, 721, 547, 1628, 6793, 4296, 2066, 2950, 543, 6536, 4708, 1851, 6082, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 20442, 2131, 569, 22352, 1948, 2764, 267, 476, 2767, 2904, 476, 1708, 273, 454, 347, 2641, 4989, 910, 476, 1015, 4873, 1475, 20755, 564, 762, 1475, 2750, 4156, 1401, 4461, 630, 5456, 17698, 267, 6789, 1299, 589, 5426, 10245, 347, 2537, 2904, 910, 476, 273, 4873, 1475, 17413, 476, 272, 547, 476, 280, 23834, 18776, 8178, 906, 1475, 17413, 476, 272, 910, 476, 280, 2008, 347, 2764, 268, 3066, 2904, 1475, 280, 269, 876, 600, 910, 476, 275, 269, 876, 10975, 1475, 290, 4338, 288, 1234, 515, 1513, 531, 1475, 290, 4338, 288, 1053, 1299, 3610, 2008, 347, 1789, 2904, 910, 476, 273, 4873, 1475, 17413, 476, 1724, 19573, 908, 4147, 8606, 2719, 1475, 17413, 476, 1724, 1053, 2008, 347, 17413, 476, 1015, 1401, 4461, 2008, 347, 4029, 2904, 1475, 279, 269, 1428, 600, 1475, 3725, 4003, 21846, 4303, 1475, 3725, 4003, 1053, 1475, 17413, 476, 272, 13460, 2008, 347, 273, 4873, 1475, 8310, 1554, 540, 6789, 11679, 2008, 347, 274, 4873, 1475, 18662, 6806, 585, 10348, 779, 17510, 1485, 2008, 347, 278, 4873, 1475, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4263, 2357, 334, 552, 657, 1696, 25197, 600, 639, 1696, 1775, 755, 334, 5212, 1470, 14064, 1170, 574, 657, 546, 1075, 574, 639, 26982, 1025, 663, 16951, 529, 9299, 525, 550, 1756, 2019, 340, 696, 23628, 1642, 523, 16951, 693, 4302, 18348, 328, 844, 657, 12373, 2803, 1696, 844, 553, 12387, 652, 5362, 4849, 19441, 521, 842, 1624, 320, 1815, 10620, 7484, 573, 10028, 1875, 1008, 1211, 267, 1138, 559, 1664, 647, 660, 538, 7583, 11985, 26982, 6815, 807, 964, 518, 2863, 30114, 527, 807, 1918, 328, 267, 7329, 1609, 4074, 636, 1696, 12373, 28262, 535, 32256, 269, 18264, 3771, 636, 844, 573, 655, 556, 5300, 1795, 18442, 1609, 1696, 11880, 7534, 3982, 1470, 269, 21601, 5391, 3266, 10917, 648, 267, 15921, 1151, 25917, 8821, 529, 1609, 11869, 754, 328, 1904, 1470, 15921, 4302, 562, 8811, 559, 15641, 527, 28943, 14263, 7329, 844, 617, 3193, 830, 1747, 520, 3068, 516, 1502, 574, 639, 267, 9631, 23036, 2019, 340, 696, 553, 4500, 12629, 1609, 267, 9631, 23036, 12373, 528, 28084, 754, 639, 269, 898, 12120, 1274, 636, 556, 5300, 554, 545, 4557, 564, 584, 513, 18682, 1304, 324, 632, 937, 639, 267, 2588, 1313, 556, 545, 328, 754, 529, 2019, 340, 696, 520, 756, 639, 12103, 1470, 637, 620, 5362, 3702, 4405, 1313, 13526, 699, 526, 529, 12373, 528, 756, 639, 607, 704, 1470, 637, 28084, 520, 563, 1432, 798, 596, 1589, 621, 568, 888, 3412, 24613, 609, 589, 1932, 1317, 621, 4667, 519, 1034, 9266, 454, 7224, 1966, 2433, 994, 4754, 596, 948, 803, 609, 835, 811, 454, 10472, 835, 2186, 320, 1476, 4926, 803, 269, 6904, 3948, 1655, 6257, 519, 4632, 538, 513, 6417, 4603, 286, 589, 7868, 4830, 4756, 568, 4957, 547, 1294, 922, 1198, 593, 519, 8200, 4756, 1247, 782, 824, 2175, 616, 24240, 269, 645, 7868, 8200, 4756, 568, 4957, 547, 1294, 922, 1198, 593, 519, 4830, 4756, 1247, 782, 824, 2175, 616, 24240, 269, 595, 7868, 4830, 4756, 568, 4847, 547, 1689, 267, 543, 519, 8200, 4756, 568, 4371, 3586, 547, 1294, 1018, 824, 2175, 1397, 513, 2078, 269, 667, 7868, 8200, 4756, 568, 4847, 547, 1689, 267, 543, 519, 4830, 4756, 568, 4371, 3586, 547, 1294, 1018, 824, 2175, 1397, 513, 2078, 563, 296, 1932, 1205, 11821, 609, 667, 8817, 543, 18763, 855, 1775, 1589, 621, 1131, 524, 855, 1775, 1522, 581, 4636, 454, 7224, 1966, 2433, 264, 0, 15933, 769, 9798, 20970, 538, 4516, 281, 3955, 31147, 519, 10803, 454, 7374, 303, 3722, 5680, 14373, 1948, 272, 454, 15933, 22584, 1107, 519, 16283, 610, 538, 31261, 1569, 547, 1426, 1813, 547, 2883, 10148, 1107, 568, 5051, 6444, 607, 513, 3978, 1857, 1072, 1966, 269, 4595, 476, 1220, 276, 267, 7622, 1426, 22584, 814, 1044, 18928, 16913, 538, 4516, 998, 519, 8225, 7991, 2657, 11752, 2196, 676, 10803, 4516, 563, 763, 3395, 946, 540, 891, 1239, 676, 1857, 1072, 267, 2146, 8041, 267, 1382, 18013, 267, 543, 1514, 3609, 2516, 814, 1044, 2565, 538, 2679, 4656, 543, 1620, 540, 519, 1966, 540, 1426, 22584, 269, 1717, 267, 29927, 543, 538, 3147, 340, 20874, 538, 519, 8989, 540, 1239, 593, 1426, 22584, 9633, 519, 4336, 543, 10335, 540, 713, 1966, 269, 634, 4977, 543, 2500, 946, 540, 4516, 779, 5464, 1239, 31963, 593, 513, 2312, 1620, 540, 1018, 4010, 568, 1373, 6027, 593, 519, 8225, 7991, 2657, 11752, 267, 1018, 621, 1797, 267, 543, 875, 547, 4612, 519, 1426, 22584, 7194, 2139, 593, 10803, 4516, 779, 3896, 630, 290, 23177, 8379, 1040, 25175, 5461, 538, 1210, 1426, 22584, 7194, 610, 1565, 827, 875, 1426, 22584, 568, 16913, 538, 4516, 568, 9415, 547, 2070, 713, 1357, 14373, 563, 268, 4406, 24809, 20579, 553, 4157, 267, 12854, 1107, 7905, 693, 2160, 540, 17842, 543, 9030, 31375, 540, 11550, 29996, 454, 268, 30554, 22828, 717, 2297, 331, 2393, 267, 631, 6347, 267, 28251, 1107, 5398, 2657, 12594, 28393, 1017, 8048, 693, 22598, 2657, 7896, 454, 268, 3004, 1097, 26728, 657, 1506, 333, 267, 28251, 1107, 5398, 2657, 12594, 626, 693, 3840, 16323, 5398, 2657, 454, 268, 5600, 3835, 5253, 769, 9798, 538, 4516, 267, 476, 1001, 275, 630, 2865, 5063, 2139, 595, 6224, 306, 1239, 1107, 962, 4157, 517, 267, 3703, 12052, 267, 31671, 20899, 267, 1715, 11398, 1633, 543, 6997, 30786, 1904, 539, 856, 538, 476, 1001, 274, 268, 1001, 275, 994, 268, 5600, 3835, 5253, 769, 9798, 538, 4516, 267, 476, 1001, 274, 454, 268, 5600, 3835, 5253, 769, 9798, 538, 4516, 267, 476, 1001, 273, 630, 2865, 5063, 1867, 609, 2407, 3084, 1239, 994, 268, 5600, 3835, 5253, 769, 9798, 538, 4516, 267, 476, 1001, 272, 454, 268, 16424, 5253, 769, 9798, 538, 4516, 454, 268, 5753, 538, 5253, 769, 31261, 5600, 9302, 454, 268, 634, 8177, 540, 5253, 769, 9798, 593, 2657, 454, 268, 5398, 8889, 543, 5253, 769, 9798, 454, 290, 2135, 267, 808, 1421, 8621, 601, 514, 267, 589, 269, 631, 1421, 32511, 785, 523, 267, 570, 1421, 28239, 773, 267, 661, 269, 661, 1421, 1323, 9047, 267, 589, 1421, 17029, 2280, 11860, 584, 327, 1690, 1815, 267, 918, 269, 595, 1421, 2560, 1299, 8225, 3213, 19899, 1254, 595, 2129, 677, 15766, 2209, 269, 630, 1001, 277, 1040, 5253, 22584, 538, 7486, 13463, 6312, 4345, 595, 3644, 1071, 29795, 539, 2043, 538, 4516, 281, 519, 2956, 540, 1071, 2173, 27225, 885, 269, 15978, 543, 10263, 267, 476, 272, 268, 1556, 563, 18250, 4504, 344, 516, 267, 700, 1421, 667, 583, 2023, 267, 667, 269, 808, 1421, 32765, 758, 267, 595, 1421, 1299, 9622, 344, 267, 808, 269, 670, 269, 630, 1001, 277, 1040, 22159, 540, 5253, 769, 9798, 1851, 8899, 24493, 2492, 8225, 7354, 12542, 607, 513, 6145, 569, 8177, 540, 513, 2871, 5875, 3975, 16316, 20677, 269, 8225, 5398, 8889, 267, 476, 5655, 263, 274, 1070, 476, 28638, 268, 30525, 563, 307, 31730, 4157, 267, 966, 1421, 4258, 978, 267, 808, 1421, 632, 29106, 4275, 267, 595, 1421, 667, 778, 1676, 267, 715, 1421, 717, 1495, 619, 523, 267, 595, 1421, 1299, 918, 6324, 344, 752, 267, 623, 269, 630, 1001, 276, 1040, 5948, 1063, 7622, 1426, 22584, 543, 5993, 1072, 1416, 3790, 269, 8225, 6481, 5948, 4750, 267, 476, 6942, 263, 1691, 1070, 661, 275, 3066, 7232, 275, 3607, 563, 307, 31730, 4157, 267, 966, 1421, 27508, 267, 589, 1421, 32511, 13873, 267, 700, 1421, 1299, 5062, 4504, 344, 516, 267, 700, 269, 630, 1001, 274, 1040, 18127, 2168, 543, 2790, 1072, 2175, 1851, 4079, 949, 2333, 13438, 547, 7622, 1426, 22584, 269, 634, 4750, 540, 6484, 267, 795, 333, 268, 13647, 563, 763, 1739, 616, 6402, 547, 519, 1382, 7493, 338, 269, 1403, 596, 616, 3168, 585, 519, 2407, 4930, 267, 5225, 4757, 4757, 11333, 2593, 563, 299, 17274, 14259, 267, 681, 1421, 667, 778, 1676, 267, 715, 1421, 1299, 20579, 553, 4157, 267, 966, 269, 630, 1001, 276, 1040, 1323, 3408, 540, 519, 13778, 7771, 538, 519, 9860, 540, 7622, 1426, 22584, 538, 1715, 11398, 1633, 543, 6997, 30786, 267, 476, 1220, 278, 268, 1001, 273, 269, 8225, 5398, 8889, 267, 476, 6078, 263, 274, 1070, 476, 4489, 268, 18684, 563, 18250, 4504, 344, 516, 267, 700, 1421, 13879, 267, 808, 269, 966, 1421, 700, 2948, 6737, 267, 667, 269, 670, 1421, 1299, 4793, 1084, 267, 590, 269, 630, 1001, 274, 1040, 12870, 543, 11980, 1361, 566, 538, 3735, 18273, 543, 2038, 15296, 616, 606, 6364, 540, 1126, 14000, 269, 4750, 540, 28146, 4713, 267, 476, 5611, 263, 272, 1070, 476, 11277, 268, 15782, 269, 0, 2691, 519, 1007, 13875, 2006, 7125, 5128, 10793, 29778, 543, 6645, 853, 1074, 646, 7959, 6777, 538, 519, 2011, 267, 853, 1074, 568, 18617, 621, 786, 6777, 585, 8285, 269, 7225, 344, 3884, 1405, 865, 2386, 543, 4465, 1405, 1577, 853, 1074, 7340, 602, 621, 18387, 1405, 6777, 539, 538, 9098, 538, 2807, 899, 476, 1911, 1296, 256, 7225, 344, 568, 811, 1543, 1818, 513, 16003, 1957, 1592, 540, 3388, 1352, 6499, 585, 8285, 1247, 853, 1074, 11339, 835, 2262, 593, 1010, 8285, 1592, 1862, 6777, 269, 769, 519, 22984, 540, 513, 22963, 8285, 873, 539, 2773, 676, 7225, 344, 781, 1362, 543, 519, 711, 865, 4411, 4365, 267, 1223, 853, 1074, 781, 6999, 7654, 2097, 3020, 286, 23729, 534, 31780, 3217, 721, 593, 2943, 1776, 3460, 609, 7225, 344, 28239, 344, 543, 853, 1074, 538, 713, 4591, 569, 808, 565, 6118, 7045, 563, 27645, 1862, 3371, 616, 930, 2200, 543, 2093, 547, 948, 596, 4001, 713, 1433, 2483, 268, 7225, 344, 28239, 344, 11242, 281, 1403, 707, 1053, 899, 713, 1433, 267, 1934, 616, 930, 2238, 547, 979, 2059, 609, 824, 7225, 344, 28239, 344, 2835, 563, 268, 7225, 344, 28239, 344, 4303, 281, 4495, 1586, 267, 952, 707, 1053, 2648, 7225, 344, 28239, 344, 267, 723, 513, 7225, 344, 28239, 344, 4303, 256, 3371, 616, 2093, 585, 782, 5686, 540, 2238, 547, 8661, 7225, 344, 267, 853, 1074, 543, 782, 519, 824, 3197, 689, 23729, 534, 31780, 781, 3126, 563, 309, 665, 5879, 281, 634, 2542, 1377, 585, 713, 1453, 781, 3209, 568, 2539, 982, 1082, 540, 519, 2835, 594, 4312, 12649, 269, 1280, 602, 2601, 267, 519, 2179, 540, 6863, 602, 949, 991, 547, 581, 5910, 4381, 568, 1454, 1447, 982, 8912, 269, 18500, 1913, 616, 607, 5205, 281, 575, 23932, 267, 1970, 2604, 1062, 267, 586, 2544, 267, 5309, 344, 267, 1958, 648, 267, 4763, 267, 682, 328, 267, 24974, 27765, 1679, 454, 6524, 7335, 281, 1548, 616, 930, 9702, 8823, 610, 5389, 596, 543, 707, 1920, 723, 286, 1403, 596, 4312, 2479, 1224, 543, 7225, 344, 28239, 344, 610, 7225, 344, 28239, 344, 1299, 853, 1074, 2835, 267, 1018, 798, 596, 1589, 741, 9702, 786, 581, 899, 888, 7628, 7335, 281, 1684, 596, 1589, 853, 1074, 781, 8285, 6999, 786, 2097, 3020, 286, 4208, 610, 1946, 711, 286, 9181, 538, 4891, 267, 1589, 9706, 1515, 270, 3333, 732, 563, 5475, 7335, 270, 16240, 281, 1548, 798, 596, 1589, 5949, 547, 10793, 29778, 267, 519, 13875, 2006, 267, 1310, 8285, 286, 1684, 596, 1589, 646, 2366, 519, 5378, 29181, 547, 7225, 344, 543, 853, 1074, 286, 1684, 596, 1589, 646, 1705, 1945, 9589, 547, 1118, 621, 6777, 593, 8285, 286, 4024, 646, 3136, 547, 581, 7225, 344, 543, 853, 1074, 781, 13875, 2006, 888, 18250, 291, 10735, 267, 631, 269, 630, 1220, 278, 1040, 7225, 344, 28239, 344, 1299, 853, 1074, 281, 634, 4591, 569, 808, 565, 6118, 269, 11062, 267, 7136, 12727, 15443, 548, 19213, 4964, 563, 31917, 7335, 630, 261, 305, 7342, 264, 815, 264, 0, 763, 2160, 540, 29161, 781, 31408, 8845, 8490, 267, 607, 2938, 689, 22398, 1324, 17311, 5244, 538, 4873, 476, 4198, 271, 563, 3528, 519, 476, 7277, 271, 338, 519, 11393, 540, 519, 2160, 781, 5656, 593, 519, 4400, 9335, 3366, 1034, 540, 922, 20485, 547, 3858, 602, 513, 1847, 547, 1007, 5656, 729, 1898, 269, 634, 2025, 5656, 941, 1932, 1507, 543, 9178, 532, 267, 543, 11000, 11623, 16283, 269, 1234, 20761, 593, 519, 4540, 3135, 729, 711, 10694, 1813, 547, 519, 32036, 4765, 10754, 543, 2810, 4853, 5533, 538, 519, 1858, 269, 634, 20703, 754, 14373, 22210, 267, 799, 2095, 539, 2250, 519, 2160, 267, 1185, 1831, 513, 588, 9722, 267, 20583, 29326, 563, 2304, 4998, 3070, 729, 547, 1847, 547, 519, 811, 16990, 543, 2463, 762, 4639, 7736, 540, 519, 2749, 269, 769, 476, 5908, 274, 519, 29161, 5742, 24020, 3213, 11751, 519, 6196, 5441, 3135, 585, 11278, 1911, 267, 1822, 547, 556, 16467, 607, 513, 5370, 13452, 269, 901, 13087, 519, 2160, 547, 6718, 811, 982, 476, 6246, 14143, 693, 16500, 3467, 24824, 585, 11278, 4792, 267, 1822, 269, 8490, 960, 3459, 593, 519, 1007, 2160, 5656, 538, 476, 5908, 277, 563, 27270, 281, 29161, 2160, 25201, 7896, 267, 11682, 308, 272, 270, 6812, 454, 17206, 540, 29161, 454, 294, 559, 6975, 8845, 8490, 267, 29161, 5742, 24020, 3213, 267, 22398, 1324, 17311, 5244, 267, 11614, 267, 838, 2231, 267, 20610, 267, 2160, 540, 29161, 0, 27751, 4400, 7547, 519, 3509, 9483, 19928, 1903, 540, 25083, 525, 538, 519, 772, 2529, 563, 310, 601, 5765, 15076, 945, 25176, 547, 519, 2136, 2276, 547, 9101, 1761, 20655, 538, 741, 1753, 2477, 568, 711, 1175, 519, 1318, 3364, 547, 798, 689, 513, 19493, 5133, 269, 898, 779, 849, 1434, 585, 519, 4797, 2208, 540, 938, 4346, 267, 2687, 547, 513, 1007, 1867, 676, 519, 674, 14166 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1079, 9704, 281, 476, 278, 2537, 267, 279, 1015, 269, 6496, 476, 275, 7941, 14961, 883, 476, 1015, 286, 3143, 269, 2334, 1797, 602, 476, 275, 786, 711, 7941, 14961, 883, 476, 278, 2420, 274, 267, 279, 1015, 543, 972, 786, 581, 513, 14230, 780, 763, 14329, 585, 476, 279, 281, 1403, 519, 2063, 1614, 9704, 540, 513, 2898, 1297, 616, 16883, 676, 476, 279, 267, 1287, 519, 3003, 1297, 568, 16883, 676, 476, 279, 780, 7078, 281, 476, 27174, 267, 8064, 272, 267, 279, 2190, 692, 2690, 713, 4341, 267, 649, 786, 1413, 693, 519, 2063, 1614, 9704, 540, 519, 1297, 281, 476, 27174, 267, 8064, 272, 267, 279, 2190, 269, 6496, 476, 279, 7941, 14961, 883, 476, 279, 2190, 286, 962, 2464, 267, 476, 279, 4422, 883, 476, 279, 2190, 267, 476, 9818, 2053, 1510, 4376, 2451, 936, 269, 1924, 713, 1297, 568, 16883, 676, 476, 279, 780, 7078, 281, 476, 280, 2537, 267, 278, 3199, 692, 26139, 267, 649, 786, 1445, 593, 519, 2063, 1614, 9704, 540, 519, 1297, 281, 476, 280, 2537, 267, 278, 3199, 269, 6496, 476, 279, 7941, 14961, 883, 476, 278, 3199, 286, 12971, 267, 476, 279, 4422, 883, 476, 278, 3199, 267, 476, 9032, 2053, 609, 513, 14230, 540, 476, 275, 269, 1924, 713, 1297, 568, 711, 16883, 676, 476, 279, 692, 763, 3652, 585, 476, 273, 267, 476, 275, 267, 543, 476, 279, 1058, 782, 1413, 2147, 269, 2334, 568, 1317, 891, 2338, 616, 1644, 269, 6056, 827, 519, 7060, 540, 476, 273, 780, 2641, 815, 476, 273, 692, 2420, 815, 476, 275, 692, 2537, 815, 476, 279, 692, 763, 20800, 267, 610, 1379, 540, 1079, 267, 1031, 568, 849, 519, 1297, 540, 9704, 602, 649, 723, 547, 946, 950, 7900, 519, 1449, 780, 763, 14329, 585, 476, 276, 281, 7089, 602, 616, 16883, 676, 476, 276, 1590, 1439, 538, 476, 276, 610, 476, 271, 780, 7078, 281, 476, 4097, 267, 278, 3199, 692, 2690, 713, 4341, 649, 1175, 1413, 693, 519, 2063, 7857, 281, 476, 4097, 267, 278, 3199, 269, 634, 2063, 7857, 568, 513, 476, 271, 267, 865, 713, 1297, 568, 16883, 676, 476, 276, 780, 7078, 281, 476, 1724, 267, 6321, 280, 692, 26139, 267, 649, 786, 1445, 938, 3007, 593, 519, 2063, 7857, 281, 476, 1724, 267, 6321, 280, 269, 634, 2063, 7857, 568, 513, 476, 280, 267, 865, 713, 1297, 568, 711, 16883, 676, 476, 276, 780, 763, 14329, 585, 476, 1015, 281, 10606, 602, 616, 16883, 676, 476, 1015, 991, 547, 581, 1256, 543, 16883, 676, 476, 276, 267, 1317, 519, 6305, 2188, 540, 476, 1015, 616, 476, 276, 543, 476, 273, 269, 26023, 267, 713, 1797, 602, 585, 513, 1297, 547, 581, 16883, 676, 476, 1015, 267, 519, 2063, 7857, 1590, 581, 513, 476, 271, 780, 7078, 281, 2537, 267, 279, 3445, 692, 12648, 513, 1413, 693, 519, 2063, 7857, 281, 476, 2537, 267, 279, 3445, 269, 634, 2063, 7857, 568, 513, 476, 271, 269, 1924, 713, 1297, 568, 1256, 543, 16883, 676, 476, 276, 269, 2334, 1797, 602, 621, 568, 849, 16883, 676, 476, 1015, 780, 7078, 281, 476, 5952, 267, 4375, 276, 692, 12648, 513, 1413, 693, 519, 2063, 7857, 281, 476, 5952, 267, 4375, 276, 269, 634, 2063, 7857, 568, 513, 476, 276, 269, 1924, 713, 1297, 568, 9642, 543, 16883, 676, 476, 276, 269, 5221, 519, 1297, 568, 711, 1256, 267, 621, 568, 711, 16883, 676, 476, 1015, 269, 898, 814, 547, 1439, 538, 476, 271, 547, 581, 16883, 676, 476, 1015, 780, 4131, 781, 2322, 621, 782, 1927, 269, 6875, 513, 1413, 693, 713, 1383, 780, 272, 267, 4281, 273, 267, 277, 3393, 267, 280, 6434, 692, 1607, 1297, 7475, 538, 476, 279, 1862, 780, 2005, 568, 16883, 676, 476, 273, 267, 855, 621, 568, 711, 16883, 676, 476, 276, 610, 476, 1015, 780, 1607, 1297, 7475, 538, 476, 6434, 1862, 780, 2005, 568, 16883, 676, 476, 275, 1317, 476, 275, 4422, 883, 476, 6434, 14961, 780, 1607, 1297, 7475, 538, 476, 280, 6434, 1862, 780, 2005, 568, 711, 16883, 676, 476, 279, 1317, 476, 279, 1281, 711, 979, 883, 476, 280, 6434, 14961, 780, 3393, 267, 7176, 272, 267, 6110, 692, 1607, 1297, 7475, 538, 476, 271, 1862, 780, 2005, 568, 16883, 676, 476, 273, 267, 476, 276, 267, 543, 476, 1015, 780, 1607, 1297, 7475, 538, 476, 876, 1862, 780, 2005, 568, 16883, 676, 476, 275, 269, 630, 2791, 1522, 581, 3206, 267, 834, 20756, 267, 476, 275, 3085, 1405, 7941, 14961, 883, 476, 876, 2580, 855, 621, 2982, 602, 476, 275, 2115, 547, 979, 883, 513, 2789, 540, 476, 1911, 269, 476, 275, 4422, 883, 476, 1911, 14961, 267, 865, 621, 786, 979, 883, 23385, 540, 476, 1911, 14961, 607, 1134, 24355, 1607, 1297, 7475, 538, 476, 6110, 1862, 780, 2005, 568, 16883, 676, 476, 279, 1317, 476, 279, 786, 979, 883, 476, 6110, 267, 476, 2004, 2053, 609, 1100, 14230, 780, 1692, 616, 519, 8954, 2225, 3652, 5363, 2496, 763, 8954, 2225, 3652, 948, 721, 547, 1265, 2188, 540, 2338, 269, 5502, 540, 2965, 2348, 547, 798, 519, 1279, 6498, 267, 649, 666, 946, 519, 4341, 547, 3313, 952, 519, 1297, 568, 513, 3815, 1101, 1354, 12270, 543, 3478, 606, 2626, 269, 0, 258, 11822, 543, 13379, 539, 589, 12610, 692, 2767, 270, 4905, 270, 1708, 272, 692, 2971, 11822, 589, 12610, 692, 26594, 3328, 540, 513, 1305, 540, 2418, 568, 5462, 676, 12270, 519, 2040, 2698, 540, 782, 519, 2418, 676, 519, 1297, 540, 2418, 538, 519, 1305, 780, 763, 4542, 540, 2241, 3328, 666, 581, 6829, 607, 5205, 1384, 26594, 3328, 815, 630, 13707, 540, 1535, 272, 1341, 1535, 273, 21147, 274, 2507, 907, 266, 343, 333, 8358, 333, 692, 8489, 16963, 343, 815, 2418, 538, 519, 1305, 692, 333, 815, 1297, 540, 2418, 538, 519, 1305, 692, 2971, 13379, 539, 3328, 692, 26574, 539, 3328, 568, 513, 1797, 540, 8159, 519, 3328, 540, 513, 1305, 540, 2418, 676, 26471, 2597, 720, 547, 1142, 1871, 538, 6935, 547, 741, 3448, 2956, 4882, 20138, 766, 780, 763, 4542, 540, 22051, 3328, 666, 581, 6829, 607, 5205, 1384, 26574, 539, 3328, 815, 630, 13707, 540, 1535, 272, 342, 272, 266, 1535, 273, 342, 273, 21147, 274, 342, 274, 2507, 907, 266, 343, 333, 1233, 19422, 13707, 540, 530, 272, 1341, 342, 273, 266, 342, 274, 16634, 266, 1233, 2020, 8489, 16963, 343, 815, 2418, 538, 519, 1305, 692, 342, 815, 2597, 720, 540, 1142, 1871, 538, 519, 1305, 692, 333, 815, 1297, 540, 2418, 538, 519, 1305 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 9946, 547, 723, 2312, 10873, 538, 1747, 547, 6023, 13685, 543, 2327, 519, 3106, 540, 741, 29123, 269, 901, 2882, 1697, 2866, 585, 5234, 267, 2834, 24422, 267, 543, 5401, 2962, 538, 5466, 1761, 10898, 563, 1103, 5758, 267, 1247, 14060, 723, 3344, 540, 4357, 4213, 267, 16155, 789, 616, 5701, 607, 1857, 5624, 538, 1082, 14621, 269, 11870, 338, 1472, 2623, 543, 608, 12807, 1118, 14060, 1745, 811, 4357, 982, 4628, 1857, 11614, 610, 9897, 563, 3719, 2949, 267, 519, 1899, 1063, 1857, 543, 4357, 568, 23324, 950, 621, 2501, 547, 14060, 269, 0, 24171, 10266, 324, 779, 2797, 6138, 814, 1044, 968, 1495, 340, 569, 20495, 892, 630, 299, 3711, 267, 476, 1001, 275, 267, 476, 277, 3607, 264, 855, 519, 4276, 1063, 1010, 10304, 18747, 543, 1010, 1252, 1049, 6138, 723, 1044, 2417, 15763, 269, 3487, 594, 540, 7126, 540, 2494, 630, 9692, 272, 264, 2488, 513, 1654, 515, 618, 18349, 540, 31611, 8738, 651, 779, 3810, 2565, 813, 26150, 540, 519, 3943, 7169, 538, 1010, 476, 9692, 271, 960, 14484, 687, 593, 519, 7169, 538, 5333, 269, 898, 568, 1934, 267, 538, 3210, 547, 8738, 651, 779, 14223, 540, 606, 29076, 4579, 543, 972, 1373, 606, 17185, 547, 519, 2250, 267, 602, 10266, 324, 1163, 2432, 1010, 20237, 540, 519, 10862, 540, 519, 1459, 269, 10266, 324, 11130, 602, 1100, 5108, 540, 1004, 666, 4865, 519, 1379, 547, 1852, 2104, 5481, 267, 972, 666, 581, 1100, 4579, 1063, 5481, 607, 8738, 651, 6700, 267, 1317, 519, 4666, 666, 723, 1100, 12044, 6392, 630, 303, 12578, 12175, 1261, 4797, 602, 1169, 5108, 1590, 581, 1863, 547, 957, 585, 3294, 1317, 789, 786, 782, 3068, 1114, 6381, 543, 1590, 581, 2111, 547, 1827, 2933, 547, 2743, 741, 9757, 2115, 630, 303, 12578, 12175, 1306, 11831, 6045, 281, 968, 303, 12578, 6585, 602, 519, 1459, 5108, 814, 1100, 13800, 547, 1412, 29006, 945, 723, 711, 2943, 8452, 262, 538, 519, 1158, 543, 602, 519, 1459, 5108, 949, 957, 607, 621, 12034, 3514, 267, 1510, 2543, 547, 2250, 610, 2104, 5481, 1848, 630, 30761, 267, 476, 1220, 271, 267, 10619, 994, 2414, 2232, 713, 2243, 267, 10266, 324, 779, 10304, 18747, 543, 519, 4128, 3297, 873, 1058, 581, 6045, 269, 10266, 324, 779, 9228, 602, 1010, 3735, 22733, 10601, 1158, 568, 678, 1342, 1194, 609, 6710, 609, 2043, 24407, 569, 2713, 538, 1360, 4057, 2175, 630, 299, 3711, 267, 476, 1001, 276, 1040, 1924, 267, 538, 476, 9692, 273, 267, 10266, 324, 9788, 856, 513, 5402, 21057, 539, 1544, 585, 606, 2296, 10304, 1533, 538, 3487, 4083, 540, 7126, 540, 2494, 543, 713, 729, 2919, 2947, 1296, 2663, 538, 3397, 337, 4115, 10456, 883, 513, 2489, 1544, 602, 1223, 581, 4294, 547, 1022, 1533, 630, 9692, 278, 1040, 769, 519, 7126, 540, 2494, 267, 10266, 324, 1486, 6479, 1996, 519, 2296, 18648, 16572, 267, 799, 646, 5219, 547, 607, 968, 514, 11584, 906, 540, 3540, 25711, 892, 630, 322, 924, 24199, 264, 543, 1572, 585, 741, 20552, 269, 634, 1544, 646, 23933, 856, 568, 1759, 593, 519, 2699, 3925, 540, 2229, 7836, 267, 1141, 646, 782, 665, 919, 2185, 2929, 6550, 540, 2048, 31162, 15200, 685, 9204, 547, 1010, 10304, 1788, 269, 634, 5354, 540, 519, 2724, 1131, 581, 1031, 547, 2327, 2069, 585, 782, 282, 2185, 6550, 829, 1126, 896, 27552, 829, 1032, 1131, 581, 3177, 547, 3237, 945, 2877, 621, 547, 5512, 873, 547, 6494, 741, 1453, 547, 1153, 269, 8921, 267, 10266, 324, 5828, 1010, 3007, 547, 519, 9907, 6376, 532, 281, 968, 2005, 568, 11213, 547, 1294, 2025, 2085, 2324, 3294, 547, 2669, 267, 538, 1018, 616, 1572, 3540, 1242, 2477, 892, 630, 5183, 12114, 1040, 1261, 6700, 602, 782, 1346, 936, 15823, 1058, 4309, 606, 5993, 27108, 540, 3670, 6550, 543, 4557, 6550, 585, 1346, 936, 24239, 269, 10266, 324, 2417, 6069, 1489, 585, 4057, 1647, 11665, 3885, 547, 6494, 741, 1453, 547, 1153, 267, 547, 1683, 513, 2582, 8569, 540, 476, 736, 695, 650, 902, 547, 2021, 1310, 519, 4332, 540, 513, 1126, 543, 547, 1169, 9241, 9310, 7008, 267, 585, 519, 2229, 547, 3382, 519, 24133, 9276, 540, 1004, 21409, 2476, 689, 1753, 543, 547, 2327, 519, 4797, 7694, 585, 519, 2048, 322, 553, 783, 4057, 685, 538, 5507, 269, 3397, 337, 4115, 10456, 6799, 519, 5467, 609, 513, 1360, 2038, 17748, 540, 8471, 2596, 4747, 269, 10266, 324, 6069, 513, 3454, 547, 2244, 5411, 609, 513, 4557, 2600, 18472, 3454, 799, 646, 6059, 1131, 6318, 1472, 2947, 2929, 5722, 4627, 8536, 6550, 693, 519, 942, 630, 303, 12578, 1040, 901, 2508, 1131, 581, 6170, 593, 27404, 11033, 540, 4557, 6550, 829, 1032, 547, 1169, 1268, 936, 519, 2085, 540, 15823, 513, 6378, 835, 11325, 8569, 540, 19939, 6550, 547, 1169, 1268, 8757, 519, 2085, 540, 8938, 14633, 543, 9878, 519, 533, 5014, 540, 519, 27656, 11474, 563, 6701, 891, 18747, 4448, 547, 1010, 20237, 540, 519, 10862, 540, 519, 1459, 610, 616, 789, 30137, 286, 3414, 6313, 7126, 540, 2494, 267, 3397, 337, 4115, 10456, 543, 10266, 324, 779, 2070, 593, 2924, 267, 713, 1557, 786, 3801, 547, 6542, 602, 1010, 10304, 18747, 798, 711, 17591, 1010, 20237, 540, 519, 10862, 543, 786, 25077, 602, 10266, 324, 779, 18747, 616, 4448, 547, 1010, 10862, 540, 519, 1459, 1317, 519, 4566, 646, 5267, 616, 5497, 547, 2327, 519, 8116, 540, 1142, 5108, 269, 30340, 6811, 602, 5103, 519, 1367, 1143, 1045, 12097, 676, 1010, 8878, 540, 519, 10862, 540, 519, 1459, 968, 933, 1265, 513, 5075, 540, 6214, 602, 17613, 519, 7554, 602, 26595, 519, 2898, 540, 513, 2146, 2066, 942, 892, 630, 299, 3711, 267, 476, 1001, 276, 267, 264, 1280, 1383, 267, 519, 24134, 585, 3246, 585, 2486, 779, 11361, 568, 602, 519, 2724, 789, 4309, 568, 1100, 811, 982, 1018, 789, 616, 13886, 547, 998, 519, 4690, 540, 513, 10715, 540, 3454, 11033, 267, 799, 786, 723, 1044, 1500, 547, 1489, 519, 3105, 5481, 2025, 267, 1762, 543, 7925, 630, 299, 3711, 267, 476, 1001, 276, 1040, 1924, 267, 835, 1223, 8044, 602, 2104, 5481, 786, 581, 8078, 539, 547, 2628, 9204, 547, 1489, 519, 3105, 5108, 607, 789, 630, 1492, 3105, 5108, 264, 723, 2907, 6976, 519, 9204, 547, 1489, 873, 630, 1492, 2104, 5108, 1040, 901, 5526, 22424, 26702, 609, 10266, 324, 779, 2856, 540, 1582, 1606, 11211, 2043, 945, 616, 11981, 741, 1367, 2924, 630, 293, 523, 1145, 344, 267, 476, 3422, 274, 13776, 796, 6247, 11712, 676, 3652, 13684, 2390, 873, 676, 3105, 5481, 563, 11101, 267, 519, 811, 9027, 2218, 18747, 10266, 324, 2306, 971, 607, 3246, 585, 9241, 9310, 15185, 267, 8720, 519, 24133, 9276, 585, 2951, 6840, 543, 26823, 3101, 7482, 547, 16462, 1007, 11299, 15983, 5815, 930, 17185, 547, 1683, 585, 519, 2104, 269, 5015, 267, 1010, 11556, 547, 2327, 4797, 7694, 585, 519, 2048, 322, 553, 783, 4057, 685, 6799, 513, 5075, 540, 960, 17346, 1141, 11668, 568, 21775, 538, 851, 585, 1426, 543, 25778, 326, 902, 585, 519, 4683, 32014, 269, 11088, 267, 585, 891, 24284, 547, 581, 3811, 543, 1599, 15983, 972, 568, 606, 22466, 1045, 6327, 540, 519, 2104, 5481, 547, 1832, 873, 1930, 547, 2327, 6024, 7694, 585, 1346, 945, 991, 621, 269, 4475, 267, 621, 666, 581, 11130, 602, 1082, 540, 10266, 324, 779, 18747, 8078, 324, 2104, 5481, 610, 1711, 13800, 547, 2104, 5481, 267, 799, 3123, 13253, 609, 1010, 20237, 540, 519, 10862, 540, 519, 1459, 269, 1717, 267, 16110, 8711, 602, 10266, 324, 779, 5132, 538, 519, 968, 684, 1392, 1275, 540, 2601, 998, 18064, 3130, 892, 18617, 1864, 602, 1004, 1131, 8917, 585, 10304, 1317, 607, 1134, 607, 1373, 538, 741, 1719, 621, 568, 678, 14260, 1318, 630, 293, 867, 267, 476, 1960, 279, 267, 476, 4649, 279, 1040, 11569, 267, 674, 2884, 849, 6811, 602, 10266, 324, 26770, 519, 2713, 547, 957, 538, 2081, 602, 786, 4324, 2104, 5481, 630, 293, 2884, 267, 476, 1001, 277, 1040, 1607, 949, 3100, 4998, 2065, 855, 952, 10266, 324, 5156, 2104, 5481, 1131, 3136, 547, 1489, 971, 10304, 18747, 2899, 789, 1185, 1044, 21230, 18801, 730, 1287, 10266, 324, 1131, 711, 723, 2938, 1022, 32475, 538, 519, 1657, 18747, 563, 13010, 267, 10266, 324, 779, 2093, 827, 519, 10862, 540, 519, 1459, 666, 581, 3144, 547, 1611, 602, 519, 2713, 798, 711, 28297, 19962, 1022, 7156, 547, 2104, 5481, 630, 8722, 527, 267, 476, 1001, 277, 1040, 1717, 267, 1010, 8561, 593, 1252, 1049, 7115, 568, 811, 10057, 609, 2152, 17640, 547, 2250, 5481, 24407, 569, 16706, 1852, 936, 1699, 543, 2104, 5481, 269, 3171, 527, 31234, 602, 968, 303, 12578, 7947, 338, 1022, 13800, 1063, 5481, 711, 856, 540, 967, 29924, 547, 2104, 5481, 267, 855, 1317, 646, 19048, 827, 519, 2713, 779, 2693, 533, 11189, 1143, 1471, 268, 14504, 23724, 2104, 5481, 892, 630, 293, 2884, 267, 476, 1001, 277, 267, 476, 6858, 1040, 769, 519, 7126, 540, 2494, 3487, 476, 272, 1010, 4901, 540, 519, 10862, 540, 519, 1459, 568, 20244, 5532, 547, 1010, 6450, 583, 2145, 540, 8738, 651, 779, 968, 4777, 551, 9068, 540, 13310, 892, 630, 293, 867, 267, 476, 1960, 279, 267, 476, 6872, 275, 1040, 968, 289, 584, 651, 568, 733, 2056, 585, 519, 6392, 540, 519, 4666, 936, 519, 2924, 543, 5191, 540, 519, 2713, 892, 6466, 646, 568, 968, 4186, 2056, 585, 519, 2924, 540, 519, 2713, 267, 543, 1996, 741, 1373, 786, 539, 2476, 543, 6417, 543, 26438, 585, 676, 519, 12377, 10924, 6392, 540, 519, 4666, 892, 630, 303, 12578, 1040, 1261, 4667, 2484, 811, 7255, 609, 4831, 532, 8738, 651, 982, 14957, 513, 23304, 731, 585, 519, 2104, 282, 10266, 324, 14578, 3746, 2478, 602, 646, 568, 585, 519, 2924, 540, 519, 2713, 543, 1996, 1346, 540, 519, 4666, 1373, 3922, 2213, 855, 1152, 4422, 607, 2484, 547, 2303, 602, 972, 3112, 581, 606, 17185, 547, 957, 585, 519, 2104, 630, 303, 12578, 1040, 589, 2388, 3144, 676, 519, 2713, 971, 607, 519, 646, 5338, 10266, 324, 779, 10304, 18747, 949, 4324, 2104, 5481, 267, 855, 607, 1279, 607, 519, 10661, 540, 971, 513, 1062, 568, 5631, 585, 519, 3483, 540, 4324, 1154, 519, 1459, 1287, 972, 568, 711, 513, 27171, 538, 10266, 324, 779, 4661, 602, 519, 1459, 1491, 10862, 269, 898, 786, 2663, 581, 6045, 602, 10266, 324, 779, 10304, 18747, 616, 2047, 1644, 547, 4324, 1154, 519, 1459, 676, 4180, 8116, 563, 11101, 267, 10266, 324, 568, 6297, 711, 547, 12622, 513, 5108, 883, 513, 1062, 540, 10304, 602, 729, 3964, 676, 513, 3105, 835, 269, 11569, 267, 646, 1572, 519, 16912, 1632, 540, 12044, 3564, 519, 18205, 519, 968, 2865, 1202, 565, 550, 540, 782, 28112, 2335, 625, 892, 630, 303, 12578, 1040, 1809, 267, 646, 26342, 602, 968, 331, 9155, 602, 616, 1500, 538, 835, 5108, 1419, 3136, 538, 3196, 998, 8011, 532, 5481, 892, 630, 303, 12578, 1040, 14265, 1017, 569, 267, 891, 4031, 616, 1869, 16048, 543, 666, 581, 24451, 1317, 519, 2713, 9844, 547, 873, 630, 303, 12578, 1040, 4634, 512, 659, 527, 9844, 538, 519, 1106, 540, 711, 4735, 2718, 513, 1876, 11307, 574, 2478, 891, 1098, 23400, 4031, 630, 303, 12578, 1040, 14348, 10266, 324, 779, 10304, 1062, 581, 5701, 607, 1876, 538, 519, 11180, 1062, 646, 26195, 2888, 286, 16110, 13187, 602, 1010, 10304, 18747, 616, 851, 540, 1010, 17748, 540, 2804, 15698, 543, 2016, 602, 10266, 324, 12034, 519, 3409, 547, 10304, 607, 711, 513, 17493, 855, 513, 1318, 267, 1287, 891, 2924, 1590, 581, 3769, 538, 519, 11156, 630, 293, 867, 267, 476, 1960, 279, 1040, 901, 1131, 17538, 602, 519, 5539, 540, 9870, 9204, 585, 23799, 9084, 1131, 2887, 547, 519, 10470, 267, 799, 1223, 936, 20183, 513, 11180, 10198, 779, 1318, 547, 3313, 21259, 630, 293, 867, 267, 476, 1960, 279, 1916, 4913, 267, 621, 568, 519, 1004, 540, 519, 1459, 945, 3180, 10700, 16285, 267, 723, 519, 1318, 547, 6963, 610, 24057, 992, 519, 11156, 630, 293, 867, 267, 476, 1960, 279, 7565, 303, 12578, 12175, 10266, 324, 5206, 267, 968, 7474, 799, 513, 2898, 4182, 23297, 547, 798, 621, 814, 513, 1318, 547, 798, 892, 630, 303, 12578, 1040, 4475, 267, 952, 513, 2104, 5108, 1705, 1294, 513, 3105, 10304, 1062, 607, 1869, 2556, 585, 741, 2486, 1287, 789, 1131, 9844, 547, 621, 676, 711, 4657, 621, 267, 1317, 789, 723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 666, 581, 9505, 1524, 835, 676, 835, 607, 596, 5372, 873, 609, 519, 1007, 4066, 602, 798, 711, 12520, 971, 9362, 899, 519, 946, 540, 2842, 543, 1216, 547, 3132, 971, 1648, 269, 634, 2229, 666, 4217, 538, 3257, 602, 676, 7616, 971, 2371, 585, 10682, 563, 3725, 6748, 543, 9657, 454, 10144, 1058, 2141, 2119, 547, 19074, 930, 2472, 824, 982, 18530, 873, 2476, 899, 519, 5068, 14569, 543, 11149, 269, 27822, 568, 849, 513, 2565, 2268, 865, 607, 547, 2057, 18530, 546, 18804, 873, 610, 8781, 873, 269, 12443, 1492, 928, 1957, 11435, 543, 14569, 1058, 581, 13381, 585, 4797, 946, 269, 1358, 1058, 2760, 581, 26151, 2094, 8781, 873, 3123, 513, 2603, 540, 3327, 12998, 543, 824, 6757, 9362, 538, 519, 2011, 799, 3123, 2518, 8337, 538, 519, 1279, 2196, 269, 8409, 602, 3112, 581, 13381, 1058, 581, 12617, 2620, 538, 519, 3037, 563, 291, 597, 333, 321, 7238, 1188, 267, 570, 1421, 918, 984, 2401, 267, 808, 1421, 26689, 639, 267, 667, 1421, 717, 4710, 267, 681, 1421, 1299, 918, 625, 324, 267, 681, 269, 630, 1001, 277, 1040, 28620, 540, 2359, 543, 2916, 1689, 593, 24277, 30450, 538, 513, 4104, 539, 737, 541, 560, 1858, 269, 4750, 540, 2825, 2359, 267, 476, 13679, 267, 476, 25838, 268, 21857, 563, 295, 3471, 267, 918, 1421, 1299, 27672, 267, 808, 269, 589, 269, 630, 1001, 276, 1040, 2913, 23067, 16202, 15021, 281, 4208, 519, 717, 278, 1590, 3247, 8781, 5755, 547, 10994, 2916, 1689, 543, 4339, 14000, 563, 295, 539, 523, 639, 267, 674, 1421, 654, 597, 11420, 3780, 267, 590, 1421, 1299, 2977, 753, 5459, 267, 667, 269, 808, 269, 630, 1001, 275, 1040, 634, 2956, 540, 4389, 5779, 543, 10683, 4616, 585, 5870, 22608, 2916, 1689, 9072, 269, 29725, 1738, 1689, 267, 476, 14862, 263, 272, 268, 273, 1070, 476, 8064, 268, 11011, 563, 298, 657, 10440, 267, 962, 1421, 1299, 2473, 773, 267, 590, 269, 623, 907, 630, 1001, 274, 1040, 10765, 2518, 2914, 9879, 554, 9332, 639, 13615, 547, 20337, 658, 7414, 2627, 9023, 269, 7186, 267, 476, 26341, 263, 278, 5379, 278, 1070, 476, 29889, 268, 2412, 278, 563, 18250, 10908, 1228, 267, 595, 1421, 1299, 661, 9469, 267, 623, 1421, 630, 1001, 276, 1040, 634, 10923, 3892, 540, 8093, 10173, 30694, 950, 12145, 2518, 8337, 547, 476, 273, 1496, 19592, 316, 595, 269, 7186, 267, 476, 276, 1704, 263, 4037, 274, 274, 1070, 476, 6942, 268, 5002, 563, 25508, 518, 331, 267, 670, 269, 654, 1421, 1299, 17305, 1084, 267, 570, 269, 717, 1421, 630, 1001, 274, 1040, 15053, 995, 19826, 14385, 658, 18742, 281, 3123, 267, 4539, 267, 543, 8060, 1421, 269, 19287, 658, 17905, 267, 476, 4792, 263, 275, 1070, 476, 4200, 276, 268, 6200, 271, 563, 303, 4394, 267, 717, 269, 623, 1421, 12448, 267, 681, 269, 631, 1421, 26636, 523, 267, 570, 1421, 2052, 611, 749, 267, 808, 269, 717, 1421, 595, 807, 529, 267, 623, 1421, 2274, 2372, 2946, 28584, 267, 595, 1421, 3267, 1299, 14355, 267, 595, 269, 630, 1001, 274, 1040, 634, 4161, 547, 1832, 2518, 8337, 2630, 476, 273, 595, 269, 7186, 8693, 7827, 267, 476, 274, 263, 272, 1070, 476, 275, 268, 277, 563, 5226, 553, 577, 940, 267, 966, 269, 630, 1001, 277, 1040, 4197, 7791, 1648, 1949, 269, 30296, 563, 307, 559, 2006, 267, 667, 1421, 1299, 18412, 267, 631, 269, 1547, 630, 1001, 275, 1040, 6820, 11326, 3095, 2825, 6940, 543, 1480, 1072, 269, 7186, 267, 476, 276, 1428, 263, 4037, 273, 279, 1070, 476, 276, 1240, 268, 276, 2420, 563, 307, 1066, 828, 628, 267, 918, 269, 661, 1421, 667, 2967, 267, 589, 1421, 11709, 14216, 5576, 8175, 267, 717, 1421, 13643, 267, 623, 269, 667, 1421, 4446, 747, 643, 747, 267, 808, 1421, 5696, 858, 320, 267, 918, 269, 681, 1421, 1299, 2701, 742, 1752, 267, 808, 269, 630, 1001, 275, 1040, 6820, 8337, 543, 2242, 538, 10980, 269, 7186, 8693, 7827, 267, 476, 275, 263, 272, 1070, 476, 1704, 268, 2420, 269, 0, 7197, 3237, 2648, 12008, 609, 741, 20169, 9002, 269, 3502, 1152, 798, 789, 2972, 2348, 741, 1453, 1472, 267, 855, 789, 849, 1745, 899, 789, 616, 7863, 873, 269, 1809, 616, 789, 2731, 10930, 538, 519, 3237, 685, 5127, 888, 7212, 519, 12136, 540, 6727, 10867, 2669, 6794, 4667, 547, 723, 8519, 538, 2487, 1296, 7064, 547, 11044, 5009, 7850, 3207, 2553, 543, 811, 2385, 2866, 267, 519, 8167, 540, 10867, 7972, 1644, 547, 3411, 6327, 610, 28824, 3123, 568, 2810, 563, 288, 2487, 1353, 1336, 602, 1247, 824, 10867, 7972, 941, 13302, 676, 827, 476, 736, 2600, 829, 1032, 267, 7972, 8995, 607, 7344, 607, 19148, 19333, 941, 2810, 593, 3328, 676, 827, 476, 274, 269, 278, 2600, 829, 1032, 269, 4033, 2090, 723, 4330, 875, 3411, 6327, 7972, 949, 723, 7018, 538, 1896, 2010, 540, 6689, 3207, 5054, 563, 20059, 580, 908, 12619, 2037, 4921, 585, 5606, 1218, 454, 5278, 1977, 3173, 5340, 513, 1353, 1572, 968, 8489, 9701, 5606, 1218, 12619, 286, 589, 18948, 540, 11485, 585, 22206, 6327, 540, 5606, 1218, 12619, 532, 538, 595, 1026, 338, 267, 16989, 645, 2644, 267, 543, 4033, 12619, 532, 16511, 725, 892, 547, 1265, 856, 519, 1483, 2601, 585, 519, 2333, 538, 10867, 7972, 269, 1358, 13986, 547, 3313, 2436, 519, 1297, 540, 6727, 10867, 7972, 689, 607, 19148, 343, 2747, 630, 514, 524, 1026, 338, 267, 2937, 15135, 267, 865, 325, 553, 267, 23107, 267, 610, 824, 12008, 7252, 264, 2799, 1813, 547, 513, 9120, 1297, 540, 5359, 267, 513, 1689, 538, 5868, 267, 610, 606, 4890, 2333, 538, 7972, 689, 3411, 6327, 269, 13018, 267, 789, 3379, 519, 1981, 540, 23139, 607, 19148, 19333, 593, 3207, 7252, 2966, 585, 9002, 8957, 593, 2937, 15135, 563, 763, 3173, 22646, 1614, 12240, 547, 2697, 3411, 6327, 2665, 1851, 12256, 22221, 3275, 2025, 610, 7820, 689, 476, 2735, 271, 547, 476, 2735, 274, 543, 689, 476, 1960, 276, 547, 476, 1960, 279, 269, 1358, 8359, 713, 2085, 8884, 547, 581, 2386, 602, 789, 941, 9236, 12256, 540, 519, 1482, 2085, 269, 27418, 941, 5833, 998, 519, 12280, 25890, 267, 28864, 543, 15783, 28864, 5549, 6342, 267, 543, 769, 3829, 15766, 725, 12240, 269, 634, 3406, 3812, 476, 274, 267, 32146, 2665, 269, 2991, 14874, 26134, 2665, 543, 856, 6361, 3146, 778, 2665, 543, 1287, 4259, 606, 2085, 3970, 540, 22221, 3275, 267, 476, 272, 267, 31256, 2665, 941, 2139, 585, 2079, 563, 10521, 4274, 2708, 832, 10446, 9286, 1142, 2669, 538, 2474, 540, 519, 1808, 3411, 6327, 4806, 1759, 593, 519, 32538, 540, 519, 1867, 269, 634, 6677, 867, 766, 2557, 729, 476, 9834, 269, 275, 2600, 585, 782, 12008, 4025, 543, 476, 7176, 269, 275, 2600, 585, 524, 1026, 338, 267, 2937, 15135, 267, 543, 865, 325, 553, 270, 577, 4202, 269, 634, 12008, 4087, 729, 4857, 689, 519, 2239, 538, 519, 2669, 15149, 267, 5945, 267, 543, 1761, 5945, 1867, 267, 610, 538, 3829, 7634, 269, 634, 1344, 585, 513, 3126, 540, 4632, 267, 1519, 2085, 267, 3023, 267, 5198, 267, 1533, 267, 5907, 3009, 267, 543, 4266, 540, 2669, 267, 729, 849, 2139, 269, 634, 5198, 729, 27524, 582, 558, 1242, 883, 3043, 543, 12102, 6688, 5812, 609, 7608, 2259, 269, 2349, 2931, 6719, 5111, 476, 10844, 269, 274, 2600, 540, 519, 2698, 269, 1677, 7520, 519, 1353, 267, 519, 1032, 729, 5258, 883, 1152, 1079, 12405, 281, 5162, 630, 19751, 547, 4728, 264, 543, 4832, 630, 19688, 547, 5181, 1916, 1432, 9894, 1358, 4855, 888, 19853, 1292, 4681, 941, 602, 519, 1297, 540, 4080, 7972, 676, 10867, 850, 607, 19148, 19333, 267, 3226, 538, 7820, 9002, 12008, 538, 2937, 15135, 610, 593, 865, 325, 553, 610, 23107, 267, 2799, 13497, 538, 519, 476, 1960, 271, 338, 269, 4107, 540, 891, 7972, 941, 11911, 547, 1303, 1905, 618, 269, 4438, 713, 1482, 1974, 540, 942, 267, 972, 729, 849, 513, 8101, 6175, 538, 7972, 1813, 547, 3411, 6327, 538, 524, 1026, 338, 269, 769, 1249, 267, 519, 1981, 540, 3411, 6327, 1851, 9002, 538, 2937, 15135, 729, 17288, 2053, 2362, 982, 519, 1981, 540, 3411, 6327, 538, 524, 1026, 338, 563, 17829, 945, 6999, 547, 2671, 513, 5127, 609, 741, 9002, 1058, 581, 3222, 540, 519, 1880, 4220, 267, 971, 607, 9991, 1063, 519, 5127, 543, 519, 3774, 267, 543, 519, 12178, 2404, 609, 2571, 28945, 269, 634, 1239, 6920, 602, 972, 941, 811, 1453, 12955, 538, 2937, 15135, 543, 593, 865, 325, 553, 610, 23107, 982, 3025, 729, 3222, 540, 538, 519, 476, 2735, 271, 338, 269, 2368, 16957, 4966, 2303, 602, 519, 1981, 2404, 609, 9991, 543, 1303, 1905, 618, 1223, 581, 4389, 676, 11319, 606, 2937, 779, 5127, 2282, 519, 3774, 269, 1717, 267, 713, 814, 711, 1044, 8810, 2500, 282, 538, 1249, 267, 621, 568, 1634, 547, 2014, 10867, 7972, 267, 865, 621, 1590, 581, 27209, 563, 29261, 1058, 1589, 7466, 1354, 4687, 513, 5127, 609, 741, 4816, 2094, 621, 666, 581, 22247, 269, 1280, 3606, 1344, 827, 3617, 12008, 6753, 585, 1453, 267, 5077, 707, 12963, 1014, 563, 306, 3832, 619, 267, 715, 269, 808, 1421, 6723, 654, 269, 681, 9801, 5112, 267, 543, 6276, 590, 269, 918, 11391, 269, 968, 8489, 9701, 5606, 1218, 12619, 286, 589, 18948, 540, 11485, 585, 22206, 6327, 540, 5606, 1218, 12619, 532, 538, 595, 1026, 338, 267, 16989, 645, 2644, 267, 543, 4033, 12619, 532, 16511, 725, 1848, 27435, 476, 12208, 267, 1100, 269, 476, 275, 630, 1220, 274, 2567, 476, 6434, 274, 1700, 6434, 280, 269, 8158, 689, 5291, 2517, 335, 8824, 338, 18502, 1952, 3016, 725, 3820, 0, 2026, 5162, 4485, 8260, 541, 1231, 552, 1579, 618, 710, 23233, 540, 938, 7515, 616, 1394, 543, 609, 873, 849, 519, 2243, 540, 799, 835, 568, 2500, 3017, 1063, 1079, 269, 634, 15151, 2147, 2472, 723, 267, 538, 1249, 267, 2934, 15116, 885, 602, 1118, 873, 10646, 762, 1256, 693, 1101, 16145, 269, 23426, 267, 7990, 267, 9403, 540, 519, 17870, 543, 519, 4527, 610, 9000, 540, 10859, 1883, 10881, 616, 7000, 563, 8368, 540, 12937, 454, 2414, 1174, 519, 3017, 1063, 8126, 518, 1149, 543, 1579, 618, 1149, 267, 3168, 693, 519, 4162, 540, 519, 1101, 2442, 20521, 5613, 666, 948, 269, 6270, 2472, 723, 8129, 1360, 3504, 269, 4340, 547, 12206, 789, 7902, 267, 538, 1249, 267, 585, 519, 1101, 942, 538, 3567, 267, 610, 538, 3624, 267, 5111, 476, 274, 267, 1822, 1296, 1281, 269, 700, 1406, 872, 621, 12851, 547, 519, 31089, 19687, 1920, 543, 10301, 513, 4463, 540, 476, 275, 269, 276, 544, 269, 634, 5613, 1267, 540, 1106, 24814, 267, 24609, 539, 693, 519, 18635, 543, 741, 22019, 628, 1157, 543, 2182, 267, 621, 814, 606, 10538, 3917, 3641, 27280, 269, 634, 8545, 849, 7140, 856, 3226, 23599, 543, 267, 952, 5214, 543, 796, 15263, 539, 267, 621, 666, 581, 3773, 547, 28916, 543, 824, 21339, 269, 1703, 17870, 621, 568, 11741, 543, 267, 950, 13820, 539, 267, 922, 4967, 1796, 856, 11315, 269, 634, 4527, 540, 10859, 621, 568, 726, 550, 3814, 563, 763, 3017, 1063, 8126, 518, 1149, 543, 1579, 618, 1149, 3587, 2653, 547, 1174, 952, 835, 17188, 3007, 547, 519, 15116, 885, 540, 519, 8545, 269, 1452, 616, 711, 267, 1101, 540, 782, 267, 3312, 20521, 5613, 267, 855, 616, 4535, 689, 29589, 5802, 267, 5310, 13680, 267, 1063, 8260, 18288, 543, 15280, 10538, 269, 4256, 5169, 568, 267, 4061, 267, 1454, 811, 2487, 267, 855, 1010, 13307, 3148, 3788, 31713, 1063, 3624, 543, 27988, 807, 269, 595, 2211, 1149, 723, 267, 2705, 267, 835, 1106, 3982, 569, 5180, 269, 4256, 22019, 628, 27903, 982, 602, 540, 8260, 541, 1231, 267, 5526, 8465, 543, 3217, 593, 18707, 540, 7920, 10538, 602, 4043, 547, 887, 338, 810, 269, 634, 5613, 2490, 856, 30861, 552, 1413, 540, 5452, 269, 1879, 13820, 539, 267, 519, 17870, 18327, 267, 1287, 267, 12373, 576, 269, 901, 20521, 4829, 568, 4061, 1454, 6068, 676, 1453, 563, 11795, 2397, 1063, 8126, 518, 1149, 543, 1579, 618, 1149, 454, 2467, 568, 811, 982, 835, 3017, 1063, 8126, 518, 1149, 543, 1579, 618, 1149, 269, 23426, 543, 2681, 1450, 721, 547, 10646, 5613, 689, 1410, 4156, 267, 1247, 5452, 267, 4162, 540, 519, 17870, 543, 8137, 2347, 519, 4605, 269, 634, 1079, 20521, 5613, 849, 723, 930, 21441, 689, 519, 1448, 540, 2070, 9422, 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 ]
[ 8443, 271, 269, 275, 267, 476, 271, 267, 476, 271, 8079, 1363, 1948, 5606, 869, 454, 27778, 815, 606, 32256, 269, 8269, 29193, 10734, 895, 776, 263, 3256, 664, 264, 17264, 1948, 20348, 14436, 6821, 692, 3256, 664, 15630, 10734, 895, 776, 20719, 262, 3847, 9166, 5696, 267, 1412, 2431, 9166, 5696, 267, 1412, 9008, 9166, 5696, 267, 1412, 321, 18847, 9166, 5696, 348, 2020, 258, 5785, 14343, 9339, 454, 258, 5345, 9876, 1062, 998, 942, 454, 258, 5785, 14343, 9339, 454, 1721, 512, 538, 6389, 4318, 341, 9876, 12169, 1752, 21163, 284, 271, 269, 273, 267, 3803, 5503, 284, 2412, 2187, 825, 6389, 31428, 4671, 574, 652, 324, 6137, 14067, 520, 2524, 10797, 825, 952, 6389, 10947, 22710, 3890, 13843, 476, 1691, 543, 8963, 269, 6503, 2652, 476, 271, 269, 271, 912, 1038, 1820, 3488, 307, 9506, 8963, 593, 5073, 1038, 8963, 269, 6503, 815, 910, 273, 269, 276, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1950, 543, 15491, 7613, 540, 20012, 543, 2749, 4058, 1369, 519, 2796, 540, 2804, 1646, 269, 634, 6679, 1349, 8711, 519, 2810, 6284, 540, 519, 2565, 1909, 540, 4872, 538, 5935, 938, 2518, 2104, 267, 3226, 538, 1769, 540, 10296, 2591, 971, 607, 4028, 4683, 2208, 267, 2916, 1689, 267, 543, 14227, 13103, 269, 1284, 2253, 676, 3695, 519, 1523, 540, 20012, 267, 922, 3123, 543, 4539, 267, 4553, 676, 606, 6514, 540, 2749, 4058, 607, 513, 1907, 585, 5883, 4683, 2208, 543, 7393, 2804, 1646, 269, 3414, 2013, 2090, 267, 7811, 10850, 267, 543, 4052, 3156, 267, 649, 2832, 547, 1683, 596, 609, 513, 13857, 1620, 540, 891, 954, 22366, 9259, 780, 296, 269, 4197, 12124, 1436, 454, 288, 269, 9502, 543, 20970, 454, 272, 269, 5915, 4919, 6521, 689, 6917, 547, 4683, 2127, 454, 273, 269, 10829, 4328, 20012, 2157, 998, 10832, 630, 324, 3052, 1421, 2551, 2450, 267, 5860, 267, 543, 3252, 994, 289, 269, 8466, 12745, 454, 272, 269, 9147, 12977, 262, 2038, 6901, 609, 4683, 3029, 454, 273, 269, 11633, 7169, 543, 4207, 3270, 540, 20012, 454, 290, 269, 15486, 540, 12124, 1436, 454, 272, 269, 22798, 7903, 2188, 630, 324, 3052, 1421, 2244, 20317, 267, 3668, 540, 7694, 3255, 994, 273, 269, 12124, 7485, 2188, 630, 324, 3052, 1421, 1732, 2816, 16548, 267, 1569, 547, 2533, 267, 1514, 10688, 994, 291, 269, 31664, 540, 12124, 1436, 454, 272, 269, 9483, 2640, 630, 324, 3052, 1421, 4903, 331, 558, 3130, 11615, 267, 5647, 13421, 994, 273, 269, 4317, 6286, 630, 324, 3052, 1421, 4747, 8635, 267, 2686, 4630, 4094, 1436, 994, 274, 269, 7025, 5222, 630, 324, 3052, 1421, 4199, 4616, 267, 5533, 267, 7226, 2530, 994, 292, 269, 7351, 12367, 543, 12694, 454, 272, 269, 23729, 659, 885, 543, 741, 10350, 21140, 454, 273, 269, 1744, 8667, 532, 4872, 543, 2022, 11897, 12009, 14759, 454, 274, 269, 21826, 20012, 538, 3384, 4525, 630, 324, 3052, 1421, 4000, 267, 5607, 994, 293, 269, 8865, 5530, 281, 3624, 781, 12124, 1436, 15232, 454, 272, 269, 6554, 4507, 543, 2344, 4229, 6117, 20012, 454, 273, 269, 32085, 13103, 543, 6237, 1646, 2994, 454, 274, 269, 17502, 1470, 523, 16652, 4539, 543, 3609, 6114, 692, 2862, 269, 4975, 12020, 543, 5004, 454, 288, 269, 20223, 4975, 12020, 454, 272, 269, 18043, 1935, 547, 2168, 267, 1514, 267, 543, 2804, 3344, 540, 4683, 5624, 454, 273, 269, 21344, 12721, 4690, 543, 8639, 454, 289, 269, 12472, 540, 4975, 12020, 7869, 454, 272, 269, 12567, 2749, 3350, 543, 2413, 626, 3741, 454, 273, 269, 5403, 19640, 31886, 543, 6932, 26336, 630, 324, 3052, 1421, 1007, 4683, 1143, 267, 5100, 2208, 994, 290, 269, 6206, 15689, 540, 12634, 4975, 12020, 454, 272, 269, 8092, 946, 6042, 543, 1990, 11238, 3921, 514, 1734, 454, 273, 269, 18815, 1949, 543, 5989, 11865, 454, 274, 269, 24184, 4507, 543, 10097, 8027, 7341, 454, 275, 269, 5398, 2230, 1374, 543, 2359, 454, 276, 269, 7025, 6940, 543, 3039, 4683, 1143, 454, 291, 269, 2382, 6627, 15753, 3311, 543, 26291, 23113, 454, 272, 269, 10020, 540, 2199, 6608, 267, 3318, 3906, 267, 543, 2146, 2516, 454, 273, 269, 11638, 7400, 11558, 543, 5698, 630, 324, 3052, 1421, 23195, 1858, 4058, 994, 292, 269, 12160, 2218, 22604, 543, 7991, 22580, 454, 272, 269, 25085, 532, 4961, 538, 3375, 6194, 3157, 454, 273, 269, 18601, 1379, 12623, 5471, 1845, 543, 4180, 13784, 454, 293, 269, 8865, 5530, 281, 3690, 527, 14114, 686, 5034, 4886, 630, 307, 7495, 264, 11150, 454, 272, 269, 21091, 6283, 543, 2244, 946, 4058, 454, 273, 269, 11588, 543, 4123, 26160, 540, 570, 7495, 6388, 454, 274, 269, 22414, 2079, 540, 3811, 570, 7495, 3785, 5001, 692, 7656, 269, 12124, 1436, 267, 4975, 12020, 267, 543, 9483, 4886, 454, 288, 269, 13017, 1137, 1063, 12124, 4813, 543, 9483, 13437, 454, 272, 269, 20548, 331, 558, 3130, 11615, 543, 7607, 3986, 906, 454, 273, 269, 16743, 8134, 543, 1702, 21383, 13569, 454, 289, 269, 674, 14166, 20480, 540, 12124, 1436, 543, 4975, 12020, 454, 272, 269, 28521, 5108, 1761, 630, 324, 3052, 1421, 3959, 9204, 267, 3593, 12375, 994, 273, 269, 5890, 754, 8132, 4170, 630, 324, 3052, 1421, 1857, 3028, 6765, 267, 5989, 5826, 994, 290, 269, 32213, 12618, 543, 26805, 32389, 454, 272, 269, 28080, 9643, 4507, 585, 27797, 5095, 630, 324, 3052, 1421, 1970, 13867, 10820, 267, 18441, 267, 2021, 994, 273, 269, 4982, 3386, 3892, 540, 2200, 543, 3255, 454, 291, 269, 8693, 7827, 14600, 12720, 543, 29675, 454, 272, 269, 5682, 5264, 3154, 5434, 5786, 9072, 543, 4683, 17846, 3800, 454, 273, 269, 26504, 4058, 585, 3665, 4365, 2621, 543, 4262, 1377, 4473, 454, 292, 269, 6820, 3162, 21126, 454, 272, 269, 23433, 2591, 543, 3255, 538, 6385, 4683, 1944, 4525, 454, 273, 269, 7454, 2853, 543, 4245, 4121, 689, 8828, 8658, 454, 293, 269, 8892, 19648, 543, 8889, 32505, 454, 272, 269, 30855, 2029, 543, 1239, 12642, 585, 21273, 4683, 20304, 454, 273, 269, 8490, 22537, 267, 561, 22133, 267, 543, 4264, 4872, 585, 782, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4263, 6167, 6953, 629, 18945, 13909, 267, 2477, 10994, 4683, 6433, 538, 715, 23879, 6798, 17083, 454, 763, 30896, 7550, 21368, 602, 786, 10994, 2212, 6823, 519, 2591, 540, 4683, 5314, 543, 1480, 17260, 269, 1358, 556, 3530, 3305, 539, 7029, 547, 519, 1715, 12124, 3397, 12629, 267, 23960, 519, 7004, 540, 13016, 17260, 543, 1793, 4548, 676, 476, 10711, 271, 267, 607, 1134, 607, 14304, 6167, 6953, 629, 18945, 267, 543, 18931, 519, 1909, 540, 4872, 538, 5466, 543, 14775, 547, 2916, 1689, 563, 4415, 513, 2698, 540, 476, 1015, 21368, 26823, 3101, 17105, 7029, 547, 21365, 1883, 2152, 11341, 547, 519, 3395, 1909, 540, 4872, 593, 519, 2518, 16786, 267, 519, 2034, 29140, 540, 519, 2136, 8315, 5274, 5590, 1479, 906, 19510, 630, 7419, 6953, 629, 18945, 264, 13909, 630, 7419, 11190, 273, 264, 8694, 538, 715, 23879, 6798, 267, 15057, 693, 519, 15964, 267, 1310, 30896, 796, 29434, 3585, 9516, 519, 10579, 658, 16672, 563, 763, 10198, 729, 4371, 8015, 513, 688, 2763, 540, 10462, 5641, 676, 519, 2518, 2804, 6433, 602, 568, 7623, 532, 519, 4540, 2518, 4683, 6433, 267, 607, 1134, 607, 519, 3138, 4040, 3463, 689, 3395, 6710, 543, 519, 1158, 779, 4657, 804, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31413, 1436, 543, 4975, 12020, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 4886, 1315, 9483, 4886, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 883, 2272, 519, 28963, 1851, 4008, 267, 5198, 267, 1362, 267, 14940, 267, 22874, 267, 14920, 269, 11762, 786, 1331, 4638, 543, 4008, 5208, 267, 3160, 2924, 267, 10285, 4066, 267, 1560, 3239, 267, 543, 30427, 15594, 2152, 269, 589, 3844, 2832, 540, 519, 1576, 568, 547, 1020, 2565, 2542, 543, 3206, 827, 519, 32469, 540, 2021, 779, 2833, 543, 827, 519, 2081, 538, 799, 2021, 723, 5706, 539, 16526, 543, 7722, 538, 2199, 270, 29514, 6214, 585, 1514, 7004, 543, 1689, 269, 901, 1576, 7208, 1571, 519, 3955, 15965, 29850, 630, 296, 1070, 5295, 513, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 655, 21442, 9012, 5525, 257, 607, 851, 540, 834, 24719, 13316, 1315, 9012, 5525, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4427, 15965, 1707, 1852, 568, 513, 2565, 2460, 540, 2244, 946, 1876, 602, 9388, 609, 519, 6498, 540, 2244, 883, 4130, 1612, 26118, 585, 1646, 5301, 269, 634, 1184, 3322, 519, 7939, 540, 30834, 2888, 676, 2199, 6608, 998, 1990, 11238, 4031, 543, 824, 6042, 6322, 693, 4180, 1931, 569, 2208, 267, 7863, 1857, 1072, 267, 3106, 267, 543, 10304, 267, 543, 8497, 519, 1915, 543, 8699, 540, 2950, 269, 901, 3184, 12538, 883, 519, 14960, 540, 30834, 1707, 1852, 267, 10223, 922, 2956, 538, 4207, 4683, 4058, 543, 1646, 780, 296, 269, 8466, 4886, 540, 4427, 15965, 1707, 6513, 454, 288, 269, 17959, 540, 4427, 15965, 1707, 19938, 454, 763, 1686, 540, 30834, 1707, 1852, 666, 581, 14360, 1394, 547, 3504, 7507, 267, 1141, 2038, 3029, 540, 2244, 6498, 6042, 941, 8045, 547, 2327, 12581, 3892, 540, 6694, 3338, 269, 1717, 267, 2413, 30834, 1707, 1852, 7153, 1282, 519, 3735, 476, 866, 628, 543, 2038, 476, 736, 628, 5553, 950, 4028, 22713, 543, 4683, 7269, 3366, 547, 29252, 30834, 1707, 540, 2244, 267, 4611, 538, 26093, 1646, 3270, 267, 7249, 6479, 4872, 267, 543, 16283, 5989, 269, 769, 3210, 267, 2199, 6608, 3459, 15357, 532, 30834, 1707, 6042, 547, 3715, 5934, 4441, 585, 2603, 7306, 267, 8265, 11097, 2195, 267, 1569, 267, 12775, 267, 20848, 267, 543, 1930, 2230, 269, 1452, 6042, 8179, 547, 3895, 1931, 569, 2208, 267, 2149, 3959, 2418, 267, 543, 3986, 519, 2298, 540, 1272, 585, 7264, 780, 289, 269, 12472, 540, 4427, 15965, 1707, 6513, 16572, 454, 7021, 942, 267, 30834, 1707, 1852, 4031, 723, 7960, 3648, 267, 10452, 4657, 6848, 2115, 543, 14422, 269, 1280, 3236, 267, 519, 4367, 540, 2825, 4027, 9086, 538, 519, 4571, 268, 736, 628, 2540, 8507, 538, 519, 25465, 540, 8733, 9270, 883, 30834, 1707, 6042, 267, 971, 607, 4170, 585, 7088, 4248, 2359, 6703, 267, 3529, 11091, 267, 543, 7226, 5726, 269, 6684, 267, 8441, 538, 6283, 2029, 543, 2242, 538, 862, 5024, 3270, 6766, 519, 1374, 540, 4155, 5121, 1369, 30834, 2888, 267, 3056, 547, 10124, 899, 7583, 11546, 1606, 30929, 267, 8520, 9897, 267, 543, 6808, 22196, 3800, 269, 4653, 267, 30834, 1707, 1852, 5170, 547, 3082, 547, 6932, 2591, 15054, 676, 2188, 971, 607, 2916, 1689, 267, 2551, 2208, 267, 543, 6639, 7760, 780, 2862, 269, 13751, 17563, 585, 4427, 15965, 1707, 6513, 454, 288, 269, 2098, 11238, 543, 12020, 2037, 29058, 20450, 454, 4263, 519, 2295, 540, 30834, 1707, 1852, 6013, 519, 6392, 11292, 547, 2199, 6608, 676, 1533, 7175, 6411, 267, 799, 7668, 25772, 547, 10038, 2244, 946, 543, 1646, 998, 1990, 11238, 3921, 514, 1734, 543, 3102, 4566, 269, 1452, 29071, 3335, 7291, 519, 5773, 585, 12561, 543, 993, 2056, 2244, 946, 6042, 267, 9591, 7355, 585, 26587, 1083, 1734, 543, 19585, 3096, 267, 543, 3246, 6127, 585, 12504, 7589, 538, 519, 3375, 6194, 1184, 269, 1635, 16107, 891, 7060, 267, 2199, 6608, 616, 2111, 547, 4739, 3358, 30834, 1707, 1852, 4507, 602, 2232, 741, 2189, 8658, 543, 6859, 780, 289, 269, 7844, 4427, 15965, 1707, 32011, 543, 7454, 13756, 454, 2414, 7520, 2500, 30834, 1707, 1852, 267, 1082, 2829, 543, 3318, 3906, 723, 2919, 2203, 9479, 543, 1655, 2853, 4808, 602, 1683, 7840, 593, 3584, 8151, 689, 3531, 19169, 4170, 547, 2773, 6125, 9273, 269, 22685, 5406, 540, 891, 3631, 666, 948, 3044, 1125, 3157, 2066, 22875, 267, 2569, 9431, 6988, 267, 543, 2087, 2949, 4093, 585, 1312, 9367, 543, 2950, 269, 5015, 267, 9363, 32448, 540, 2872, 3466, 543, 5499, 4485, 666, 1217, 10311, 547, 4540, 30834, 1707, 1852, 6042, 267, 4180, 789, 2611, 4143, 543, 17841, 547, 9687, 7569, 780, 7656, 269, 6206, 15689, 540, 4427, 15965, 1707, 6513, 454, 288, 269, 2776, 14083, 15107, 5623, 454, 26212, 547, 3803, 13170, 267, 1034, 30834, 1707, 6042, 2154, 23078, 547, 10505, 16861, 726, 1846, 24152, 6069, 29282, 267, 27177, 267, 10626, 6753, 267, 543, 824, 22317, 1344, 269, 4438, 713, 5123, 267, 2689, 619, 2708, 2436, 519, 11556, 10742, 10858, 4441, 267, 14439, 1761, 7526, 609, 4478, 3601, 610, 5989, 267, 543, 15109, 3255, 585, 19349, 540, 2146, 29319, 269, 12056, 8639, 2038, 538, 519, 1184, 2636, 585, 811, 3608, 6571, 540, 2152, 543, 11942, 10319, 3347, 1063, 9367, 267, 22124, 267, 543, 4299, 6105, 780, 289, 269, 15937, 15107, 10088, 1998, 543, 5589, 1800, 454, 5629, 16861, 1237, 10094, 616, 5833, 267, 9367, 8399, 547, 3803, 1944, 4702, 6272, 267, 17516, 2556, 14998, 267, 543, 8600, 2594, 762, 726, 1846, 269, 2311, 713, 3942, 267, 621, 568, 1898, 602, 782, 2838, 12319, 568, 2347, 267, 4977, 267, 543, 5360, 5050, 609, 10858, 6042, 547, 2057, 14427, 17799, 610, 7947, 687, 269, 16270, 10343, 676, 519, 3617, 8128, 267, 6592, 726, 1846, 1831, 16155, 11006, 6054, 12044, 1612, 4897, 9562, 267, 2924, 6361, 17574, 267, 8897, 906, 267, 543, 25516, 524, 8576, 1218, 269, 1306, 971, 267, 22111, 3007, 547, 1469, 2429, 519, 3803, 3531, 13170, 1184, 5849, 1279, 3856, 9355, 543, 22979, 3823, 2244, 946, 1303, 1856, 906, 780, 290, 269, 13437, 645, 4637, 543, 1912, 1078, 3763, 1889, 454, 6624, 30834, 1707, 8060, 6451, 14074, 8506, 9367, 547, 2022, 2773, 7554, 10018, 532, 12032, 540, 9283, 2687, 547, 9516, 4566, 269, 901, 7271, 2337, 2327, 602, 4105, 5989, 971, 607, 10754, 267, 2427, 19789, 802, 267, 694, 9955, 267, 543, 1216, 1292, 338, 616, 9112, 538, 513, 12905, 6073, 267, 4227, 4220, 2404, 609, 896, 5115, 1388, 1242, 3785, 543, 7393, 2949, 8378, 2298, 269, 3958, 267, 943, 1078, 1646, 2994, 5512, 588, 698, 13499, 6388, 540, 1804, 8397, 30834, 2888, 267, 3850, 2199, 6608, 547, 1732, 4383, 5222, 593, 3506, 267, 11614, 267, 543, 824, 3838, 2200, 1247, 4509, 2883, 23388, 543, 1852, 780, 4353, 269, 12634, 12983, 538, 4427, 15965, 1707, 6513, 454, 288, 269, 12829, 12618, 543, 1715, 12124, 1143, 454, 1103, 2487, 1296, 267, 972, 814, 1044, 3395, 1719, 538, 5100, 2208, 3741, 543, 1007, 4683, 626, 1374, 2035, 607, 8925, 547, 6671, 28180, 30832, 331, 3270, 269, 22716, 1944, 3802, 1464, 267, 6404, 14025, 1646, 267, 18302, 14479, 267, 543, 11741, 1106, 267, 891, 4485, 2832, 547, 1711, 811, 4264, 267, 561, 22133, 2950, 602, 6536, 1514, 5872, 267, 2168, 2534, 267, 543, 4389, 16126, 593, 26873, 269, 23889, 971, 16431, 883, 30834, 1707, 1852, 4507, 3340, 6297, 7156, 540, 2344, 3747, 267, 16642, 6286, 267, 543, 5989, 10148, 267, 26089, 5571, 5188, 1851, 14519, 267, 9439, 267, 543, 4961, 7567, 780, 289, 269, 32285, 24184, 543, 24054, 19047, 454, 11754, 7675, 8027, 26622, 3788, 513, 10296, 4161, 585, 1082, 4525, 21679, 609, 8375, 3790, 543, 24715, 656, 13848, 269, 4427, 15965, 1707, 1852, 4249, 513, 2629, 1909, 538, 5935, 8027, 6990, 676, 12018, 3761, 267, 4087, 267, 543, 1587, 3575, 269, 1677, 3895, 9698, 543, 538, 1816, 4369, 267, 930, 22875, 723, 7550, 10014, 776, 1990, 11238, 4507, 267, 1764, 12375, 267, 5860, 13755, 4926, 267, 543, 824, 2645, 2966, 547, 5000, 2504, 543, 11091, 540, 10097, 4559, 1369, 9241, 2813, 30834, 2888, 269, 21344, 12721, 4690, 9624, 13346, 22097, 543, 2804, 2175, 7125, 585, 13857, 3609, 6114, 16135, 538, 3280, 1239, 2079, 543, 7347, 6278, 609, 3309, 14218, 4293, 780, 290, 269, 25895, 21992, 906, 543, 30404, 10298, 454, 305, 777, 573, 7760, 538, 2520, 2214, 7652, 4066, 267, 3059, 5867, 267, 543, 12747, 3157, 2709, 3209, 7399, 585, 6908, 23164, 30834, 1707, 1852, 7245, 267, 5355, 11413, 267, 543, 7393, 5698, 1851, 8639, 269, 3245, 2228, 11863, 3156, 543, 7317, 11837, 2645, 547, 20473, 12220, 543, 5841, 4987, 12454, 3135, 9382, 267, 8508, 5647, 6585, 9153, 585, 13321, 875, 30834, 1707, 6042, 616, 4294, 543, 24451, 269, 674, 29183, 513, 2528, 540, 17634, 543, 6024, 6454, 6087, 2199, 6608, 547, 31194, 593, 28928, 3466, 1247, 19086, 1761, 25354, 543, 5883, 4220, 2404, 609, 26688, 1689, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1320, 773, 548, 28120, 14480, 12537, 454, 21659, 514, 20362, 513, 2039, 540, 1533, 543, 5313, 3540, 25036, 6927, 267, 1519, 6927, 1644, 547, 1870, 13882, 267, 2244, 946, 267, 2067, 2200, 267, 2916, 1689, 267, 543, 813, 749, 622, 14223, 269, 26285, 15122, 267, 30190, 267, 543, 4557, 20160, 267, 28120, 2488, 11967, 8480, 547, 7218, 267, 568, 9952, 693, 7634, 543, 4879, 267, 543, 568, 3810, 4810, 693, 8236, 3811, 4093, 563, 4415, 513, 1445, 593, 813, 749, 622, 960, 538, 1533, 543, 5313, 10470, 267, 28120, 568, 4810, 1396, 580, 908, 513, 3376, 2039, 540, 2152, 267, 1519, 1950, 1870, 6927, 5473, 1483, 3959, 267, 11731, 267, 1870, 12475, 6811, 267, 543, 28153, 2152, 563, 9515, 814, 1713, 1995, 1396, 580, 908, 13882, 5473, 5010, 10211, 6054, 267, 23339, 540, 3972, 267, 2140, 547, 1483, 3959, 267, 1585, 1870, 11731, 267, 607, 1134, 607, 3972, 543, 2625, 622, 7405, 269, 2701, 814, 849, 17411, 6927, 1644, 547, 1857, 8116, 11731, 543, 519, 9466, 2920, 968, 13449, 11401, 892, 1876, 563, 27455, 2422, 28597, 543, 22175, 12720, 454, 21659, 514, 568, 4810, 538, 13882, 6161, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8138, 15965, 1707, 6513, 257, 607, 851, 540, 834, 30311, 1315, 8092, 2422, 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, 476, 275, 269, 272, 11588, 540, 7913, 13437, 692, 8702, 1394, 267, 2104, 10509, 575, 32203, 256, 769, 938, 2063, 11271, 267, 649, 3576, 513, 588, 2651, 1524, 3965, 26738, 543, 14952, 539, 693, 519, 4720, 540, 5904, 543, 741, 1764, 593, 2773, 269, 1284, 849, 798, 557, 883, 519, 6491, 1399, 3766, 761, 1399, 3877, 540, 3059, 2773, 1765, 6011, 1346, 9589, 6191, 1184, 1344, 865, 3533, 543, 7561, 269, 3767, 267, 1577, 781, 2263, 930, 2247, 1532, 27172, 2640, 540, 3059, 2773, 602, 723, 9927, 938, 2729, 538, 2081, 649, 1223, 15991, 4952, 1175, 513, 1906, 5756, 3516, 269, 1924, 10544, 707, 3206, 11503, 630, 663, 6148, 513, 15165, 1070, 1317, 649, 4312, 3893, 930, 4241, 8906, 6619, 2439, 288, 269, 1133, 24286, 27065, 543, 20309, 692, 5970, 596, 2479, 5326, 339, 540, 21882, 606, 12473, 1623, 21620, 610, 2870, 18198, 1148, 286, 4270, 267, 7064, 547, 8441, 538, 3059, 2773, 267, 891, 9909, 666, 1831, 4641, 256, 2060, 2645, 971, 607, 2575, 2504, 3301, 543, 8642, 1374, 3292, 267, 5159, 666, 3142, 741, 2093, 547, 1272, 811, 3362, 982, 2479, 1354, 269, 1452, 3156, 2709, 11995, 7399, 267, 3850, 3755, 547, 4603, 609, 1114, 4992, 267, 6163, 267, 4778, 267, 543, 2553, 2394, 789, 1265, 602, 3501 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2412, 1296, 2663, 267, 713, 2680, 568, 1869, 513, 2707, 540, 4898, 543, 25713, 269, 23225, 2053, 538, 2199, 1686, 723, 4411, 5210, 1500, 741, 4527, 1634, 593, 971, 513, 6264, 4336, 610, 2813, 971, 513, 10875, 4159, 563, 2026, 7264, 5423, 585, 8285, 538, 11313, 10695, 267, 519, 4365, 5795, 1100, 20726, 540, 1018, 729, 547, 2097, 269, 4340, 547, 2278, 543, 2817, 16661, 6796, 20626, 25381, 12448, 338, 267, 2175, 941, 4986, 856, 540, 519, 8723, 269, 968, 763, 1101, 4557, 2395, 540, 519, 3923, 941, 6093, 540, 5412, 4365, 3267, 8151, 8389, 1862, 3367, 9509, 18248, 454, 295, 2795, 2023, 729, 1753, 547, 835, 540, 519, 1614, 3312, 645, 1601, 1512, 3474, 880, 7732, 8371, 267, 2059, 609, 30577, 1546, 2718, 543, 645, 1601, 1512, 4975, 267, 543, 513, 28564, 517, 22071, 269, 634, 670, 2795, 2023, 5399, 8118, 11728, 20029, 476, 1626, 267, 476, 3707, 271, 267, 3330, 519, 2274, 320, 18039, 4558, 267, 513, 8978, 2679, 538, 968, 1245, 670, 2795, 2023, 892, 676, 519, 16456, 1244, 582, 602, 14616, 1524, 538, 519, 3735, 476, 1960, 271, 779, 563, 310, 514, 7431, 8751, 331, 8657, 540, 670, 2795, 2023, 19262, 5491, 711, 1152, 585, 9591, 519, 670, 2795, 2023, 5399, 855, 585, 519, 25110, 5399, 1062, 607, 513, 2898, 269, 1306, 851, 540, 519, 645, 1601, 1512, 3474, 880, 9977, 268, 30108, 7027, 267, 543, 2212, 540, 519, 645, 1601, 1512, 3474, 880, 17318, 808, 1722, 779, 5399, 635, 1862, 3367, 9509, 18248, 454, 13731, 5733, 540, 476, 3422, 276, 568, 2693, 835, 602, 30577, 1546, 2718, 5065, 3220, 269, 570, 821, 9652, 4465, 1406, 7340, 269, 1261, 729, 23232, 689, 16398, 11124, 538, 519, 1101, 2101, 30925, 538, 10476, 1063, 772, 2529, 269, 4229, 543, 3345, 19176, 10136, 1107, 519, 11135, 540, 594, 320, 3220, 836, 9503, 269, 13405, 547, 713, 6278, 267, 1977, 9525, 1185, 1044, 5631, 28007, 269, 2334, 4957, 609, 713, 6370, 543, 2451, 513, 9434, 1764, 593, 9652, 779, 1272, 269, 1548, 5205, 568, 711, 606, 10575, 14823, 1224, 267, 855, 835, 540, 10100, 543, 22838, 538, 513, 4339, 585, 6668, 563, 4415, 30172, 540, 519, 22266, 11114, 4655, 1869, 26871, 828, 908, 2066, 5101, 5607, 267, 3267, 3367, 9509, 18248, 454, 15124, 6628, 729, 16397, 676, 13303, 5125, 779, 19666, 26645, 689, 476, 3707, 271, 547, 476, 3707, 273, 267, 543, 4436, 772, 1532, 13331, 6285, 593, 11288, 3361, 22520, 540, 2565, 7727, 269, 769, 519, 2136, 2276, 267, 513, 18487, 4674, 547, 1683, 1875, 332, 26090, 5351, 547, 519, 3703, 729, 1572, 25143, 956, 585, 6628, 267, 799, 6394, 23190, 540, 7802, 267, 29198, 267, 543, 824, 2596, 29476, 267, 607, 1134, 607, 6666, 269, 25143, 956, 585, 6628, 729, 3323, 4166, 1310, 519, 2112, 538, 2342, 13264, 856, 676, 513, 1762, 3993, 538, 1715, 3840, 4975, 3957, 715, 7614, 773, 700, 987, 600, 8385, 607, 513, 26095, 1788, 855, 6385, 9450, 922, 2238, 563, 763, 1862, 3367, 9509, 18248, 454, 2005, 568, 1134, 8153, 602, 2021, 4904, 1082, 4108, 543, 5663, 5107, 1282, 2622, 2782, 4083, 267, 547, 22771, 585, 2367, 8165, 18246, 267, 607, 1134, 607, 2743, 519, 19856, 539, 5346, 29053, 2115, 538, 5663, 563, 763, 3090, 540, 713, 29053, 4807, 11832, 2968, 519, 968, 305, 657, 773, 519, 681, 633, 614, 2223, 540, 519, 4583, 4639, 532, 5264, 12051, 16968, 540, 513, 1762, 4807, 538, 513, 4544, 960, 25099, 267, 19492, 1407, 18202, 909, 547, 1397, 1055, 16757, 7916, 267, 1200, 1225, 569, 1490, 684, 8291, 4552, 4371, 1394, 689, 1200, 887, 1910, 19295, 2131, 539, 3068, 609, 513, 2699, 1688, 12027, 27815, 269, 769, 519, 22374, 9412, 6202, 4528, 540, 14472, 773, 267, 1352, 779, 13269, 538, 513, 4544, 960, 25099, 267, 849, 609, 678, 1862, 3367, 9509, 18248, 454, 2026, 513, 4759, 540, 519, 26146, 3722, 630, 18131, 779, 8136, 589, 5060, 18416, 17620, 267, 2663, 1634, 3274, 607, 654, 3722, 1070, 799, 4646, 2038, 538, 519, 2136, 2276, 685, 9525, 538, 24918, 267, 945, 1185, 1044, 513, 1279, 5503, 17055, 540, 519, 5087, 645, 1601, 1512, 2146, 540, 30577, 1546, 2718, 267, 519, 476, 1001, 278, 1073, 527, 4231, 540, 16910, 18333, 968, 2419, 5142, 892, 2441, 4752, 619, 523, 21701, 9575, 1250, 3750, 269, 594, 1185, 2965, 1044, 29957, 998, 7857, 1242, 8978, 14786, 3168, 585, 1945, 3116, 7357, 267, 855, 594, 2141, 1616, 547, 917, 811, 827, 2199, 654, 3722, 338, 269, 634, 1073, 527, 4231, 2649, 1947, 4988, 519, 9165, 540, 1200, 476, 4200, 1296, 267, 543, 621, 849, 1185, 803, 16462, 547, 917, 811, 563, 291, 528, 18333, 3323, 1200, 561, 1862, 3367, 9509, 18248, 454, 288, 6125, 1185, 2907, 5293, 538, 476, 4198, 277, 3850, 585, 519, 2749, 547, 1628, 922, 1216, 2126, 2030, 269, 634, 6125, 1185, 5293, 1310, 519, 3892, 540, 7301, 1344, 267, 10645, 715, 539, 25291, 7723, 540, 519, 968, 289, 1601, 1512, 4964, 2223, 19696, 513, 3948, 9783, 1991, 547, 519, 6125, 8917, 602, 519, 1216, 1131, 711, 581, 3144, 689, 519, 4414, 5211, 269, 5502, 267, 621, 729, 1625, 19959, 547, 581, 3144, 689, 2620, 19401, 2282, 519, 5757, 267, 17548, 602, 1131, 2057, 930, 540, 519, 6070, 1543, 538, 519, 5757, 563, 16031, 269, 25291, 7723, 779, 11356, 3366, 519, 4339, 547, 26699, 4070, 540, 519, 1007, 1216, 1062, 267, 609, 519, 1292, 4661, 1996, 621, 1373, 519, 4975, 540, 28543, 685, 1862, 3367, 9509, 18248, 454, 1103, 476, 4572, 276, 267, 519, 1977, 23905, 5948, 5697, 17039, 267, 856, 540, 12964, 12721, 2829, 267, 547, 581, 519, 18579, 540, 513, 1269, 2004, 267, 1822, 9886, 689, 519, 31257, 15278, 547, 3715, 6917, 1857, 8021, 269, 634, 17039, 7732, 8189, 1287, 5697, 7323, 3647, 2801, 630, 29455, 968, 13625, 14615, 26943, 591, 267, 513, 476, 5655, 4458, 6040, 7172, 4115, 945, 1185, 15468, 538, 2648, 609, 5399, 960, 607, 513, 2875, 693, 4993, 779, 25048, 7431, 5441, 543, 945, 8910, 5280, 3715, 8021, 538, 14822, 543, 4993, 267, 547, 2253, 519, 1788, 538, 17039, 269, 2701, 4956, 547, 960, 609, 513, 7187, 25110, 543, 513, 7013, 25110, 538, 799, 547, 3715, 513, 5399, 30918, 1862, 3367, 9509, 18248, 454, 12024, 519, 10511, 23550, 2680, 538, 513, 4947, 6361, 21943, 3209, 267, 14042, 11642, 602, 10032, 1454, 540, 25708, 645, 1601, 1512, 4975, 538, 519, 4571, 268, 4572, 271, 779, 19430, 2749, 3401, 547, 960, 1927, 547, 1205, 513, 18513, 1216, 1062, 543, 513, 1007, 3595, 15372, 1062, 585, 519, 1004, 543, 4213, 540, 645, 1601, 1512, 4975, 269, 630, 5649, 811, 827, 713, 2680, 538, 519, 5181, 476, 277, 267, 476, 4572, 274, 2376, 8094, 289, 1601, 1512, 1336, 922, 1101, 18513, 1216, 3761, 2066, 519, 4414, 5211, 630, 337, 1430, 982, 689, 519, 4414, 5211, 267, 899, 2221, 264, 950, 621, 729, 4448, 547, 1744, 516, 557, 1636, 779, 1216, 1062, 267, 13859, 676, 9061, 8235, 269, 901, 4276, 5949, 609, 1454, 10178, 11071, 269, 769, 3267, 3367, 9509, 18248, 454, 26222, 17691, 32736, 538, 5176, 1169, 1977, 4884, 269, 15766, 908, 519, 8129, 540, 930, 540, 891, 17559, 2984, 1419, 8761, 4890, 3140, 4755, 902, 269, 2913, 779, 2263, 519, 1686, 602, 1223, 581, 3297, 513, 15293, 1650, 689, 519, 30577, 1546, 2718, 1858, 827, 513, 29421, 329, 871, 15293, 945, 5526, 609, 1804, 25192, 543, 11438, 606, 4949, 324, 563, 20755, 828, 814, 1044, 513, 14762, 2804, 2534, 1934, 2094, 519, 2063, 1079, 5756, 540, 519, 13524, 2540, 267, 950, 8832, 7733, 1185, 7361, 1044, 936, 3620, 541, 4034, 539, 267, 543, 519, 2150, 31189, 7733, 1934, 2968, 811, 3015, 1310, 519, 2312, 902, 540, 519, 4279, 681, 10762, 540, 519, 4414, 681, 643, 1862, 3367, 9509, 18248, 454, 763, 645, 1601, 1512, 3474, 880, 7732, 3590, 729, 1101, 5941, 676, 519, 623, 14011, 540, 645, 1601, 1512, 4400, 3427, 538, 476, 3707, 271, 269, 634, 645, 1601, 1512, 3474, 880, 17318, 808, 1722, 9516, 519, 5250, 540, 519, 5399, 593, 513, 968, 12047, 2970, 566, 892, 4493, 269, 634, 17431, 5399, 729, 7620, 14102, 676, 519, 3557, 7732, 540, 17039, 585, 835, 1032, 267, 543, 13234, 609, 519, 3718, 18776, 10029, 267, 513, 5313, 960, 8323, 1982, 540, 519, 4279, 12870, 5736, 269, 2311, 519, 1439, 540, 602, 1032, 267, 519, 17318, 808, 1722, 9516, 519, 5399, 593, 513, 8628, 4493, 609, 519, 8574, 540, 513, 835, 28451, 1984, 720, 24569, 3454, 538, 4873, 540, 476, 3707, 272, 269, 634, 1101, 8371, 941, 4092, 538, 645, 1601, 1512, 1862, 3367, 9509, 18248, 0, 3528, 10127, 514, 25538, 1676, 454, 16348, 3817, 267, 2571, 16225, 267, 1269, 2412, 454, 13775, 676, 20037, 4964, 454, 1103, 713, 11141, 2923, 18840, 1670, 1353, 267, 2278, 10127, 514, 25538, 1676, 2090, 2185, 9259, 281, 32412, 2862, 1148, 267, 3684, 22345, 762, 23935, 267, 519, 12297, 5119, 17002, 543, 519, 15784, 1472, 1290, 545, 590, 753, 269, 2755, 789, 16937, 538, 519, 2127, 540, 1462, 2762, 267, 2442, 2528, 543, 7384, 267, 789, 723, 1044, 15763, 610, 20495, 538, 891, 10459, 269, 634, 1433, 779, 998, 1899, 568, 875, 789, 1142, 30065, 689, 1462, 4919, 5389, 547, 26516, 3096, 267, 543, 25538, 1676, 814, 9676, 1004, 779, 4606, 543, 8823, 4724, 891, 3615, 267, 607, 1134, 607, 741, 2797, 267, 1514, 543, 2686, 30367, 563, 3080, 1223, 711, 3589, 875, 519, 13999, 1131, 723, 3765, 4310, 610, 29144, 891, 4052, 4066, 269, 32412, 2862, 267, 5497, 585, 5904, 547, 1184, 2338, 543, 1820, 19020, 3029, 540, 1257, 267, 2968, 513, 5420, 585, 1404, 543, 3239, 14708, 269, 10724, 22345, 762, 23935, 267, 5497, 547, 1489, 519, 12948, 2872, 267, 2968, 606, 12716, 1129, 8595, 585, 2029, 543, 13777, 12053, 269, 634, 12297, 5119, 17002, 267, 513, 8465, 267, 10097, 3684, 585, 1344, 4600, 267, 2968, 3810, 2404, 609, 922, 3280, 543, 606, 30405, 5420, 538, 7574, 12644, 269, 1290, 545, 590, 753, 267, 5497, 607, 519, 7874, 3068, 540, 3301, 585, 1453, 267, 5170, 547, 581, 513, 11786, 1826, 2183, 602, 7472, 1471, 30844, 6547, 269, 589, 6071, 627, 858, 540, 519, 13944, 21883, 593, 1514, 2923, 267, 543, 519, 4950, 568, 4712, 547, 533, 8784, 563, 310, 698, 1676, 779, 9295, 25361, 513, 2101, 7934, 1063, 519, 1079, 10600, 540, 946, 543, 21568, 269, 634, 4560, 540, 2959, 267, 689, 31150, 10344, 543, 4670, 5496, 322, 2355, 547, 13944, 15013, 543, 17408, 1115, 267, 616, 4397, 540, 513, 1353, 540, 1402, 2528, 538, 519, 3059, 2085, 269, 25538, 1676, 2488, 519, 3178, 267, 22805, 891, 15998, 1927, 609, 8325, 2079, 543, 2502, 9423, 269, 2443, 14503, 648, 1338, 17540, 0, 8489, 1705, 3425, 2097, 689, 286, 901, 3390, 814, 1044, 23503, 676, 12206, 267, 24085, 543, 27563, 538, 2250, 269, 6969, 4417, 540, 7636, 19795, 267, 1082, 4457, 12206, 5156, 602, 3624, 729, 849, 835, 540, 8129, 540, 812, 269, 1717, 267, 609, 6024, 1646, 540, 2257, 543, 2029, 267, 1082, 1004, 849, 8275, 602, 1004, 666, 1152, 723, 835, 5169, 267, 543, 621, 568, 11613, 7543, 547, 723, 2789, 8129, 269, 1656, 5639, 540, 7489, 5169, 3069, 568, 849, 13302, 563, 1103, 2250, 267, 24085, 723, 1185, 1079, 13882, 827, 5169, 540, 812, 281, 3069, 540, 5169, 689, 835, 1747, 543, 3069, 540, 5169, 689, 1896, 4025, 269, 2368, 5169, 28288, 3494, 602, 4000, 568, 835, 540, 4025, 540, 5169, 540, 812, 267, 543, 5607, 568, 849, 835, 540, 4025, 540, 5169, 540, 812, 269, 1717, 267, 2687, 547, 2596, 3069, 540, 7350, 281, 1114, 2249, 26731, 689, 513, 1455, 22660, 267, 543, 7103, 540, 1482, 2249, 1590, 849, 13956, 689, 835, 1455, 22660, 269, 901, 568, 513, 18349, 540, 3069, 540, 3818, 2000, 5914, 5169, 540, 1004, 689, 2596, 3741, 267, 543, 5169, 540, 1004, 1590, 2097, 689, 1482, 22660, 269, 17497, 267, 711, 782, 3425, 616, 1065, 6055, 1947, 9678, 267, 1247, 3425, 543, 782, 824, 2249, 616, 1065, 6055, 1947, 9678, 269, 898, 849, 2982, 602, 782, 1004, 616, 1644, 676, 1973, 563, 1103, 2250, 267, 1004, 24565, 8129, 540, 3425, 5631, 1759, 593, 3504, 1480, 15455, 1336, 11895, 269, 634, 1480, 15455, 1336, 538, 4000, 616, 4102, 593, 782, 17407, 540, 1158, 269, 1452, 15455, 1331, 1585, 4104, 22171, 267, 2244, 22171, 267, 513, 701, 6438, 1004, 267, 10236, 6950, 267, 610, 836, 583, 753, 543, 3504, 1004, 267, 607, 1134, 607, 7633, 267, 1585, 6149, 2645, 543, 5642, 2645, 269, 2073 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 700, 4338, 307, 8008, 630, 27237, 519, 8773, 1916, 476, 2598, 680, 904, 519, 8641, 673, 14871, 28497, 630, 294, 21397, 264, 543, 31825, 609, 519, 8773, 780, 476, 22439, 281, 476, 2659, 20485, 630, 1721, 519, 5943, 994, 825, 543, 15952, 517, 654, 2129, 331, 325, 14390, 563, 476, 15604, 2165, 267, 476, 1001, 279, 268, 1001, 280, 563, 12163, 5814, 942, 692, 3698, 4584, 1575, 318, 15953, 4671, 821, 6600, 15968, 267, 3432, 267, 2557, 267, 8773, 2187, 825, 8773, 6155, 337, 633, 318, 17882, 269, 2998, 4433, 32497, 267, 3432, 994, 825, 3355, 815, 8773, 4732, 16428, 318, 17882, 269, 597, 318, 2889, 343, 14383, 5334, 16428, 10947, 5091, 2700, 18425, 18425, 2583, 4590, 825, 1247, 6936, 912, 1038, 771, 815, 8773, 4732, 16428, 318, 17882, 269, 597, 318, 2889, 343, 14383, 5334, 16428, 10947, 5091, 2700, 18425, 18425, 2583, 4590, 1038, 952, 771, 2999, 3355, 912, 2018, 4908, 815, 4908, 2608, 2557, 454, 2018, 3355, 815, 771, 454, 1038, 952, 8773, 4732, 16428, 318, 17882, 269, 597, 318, 2889, 343, 14383, 5334, 16428, 10947, 5091, 2700, 18425, 18425, 2583, 3890, 2999, 476, 272, 912, 2018, 2736, 454, 1038, 8773, 4732, 895, 318, 17882, 6745, 821, 8548, 6033, 269, 2452, 4671, 821, 6600, 15968, 267, 476, 1911, 271, 2020, 1038, 1820, 263, 13681, 582, 4732, 16428, 318, 17882, 269, 597, 318, 2889, 343, 14383, 5334, 16428, 10947, 5091, 2700, 18425, 18425, 2583, 15405, 825, 8773, 6155, 337, 633, 318, 17882, 14714, 641, 4590, 825, 8773, 269, 1301, 318, 663, 318, 743, 1177, 269, 571, 1047, 318, 1301, 10797, 3698, 8095, 7272, 1157, 1575, 318, 22018, 3772, 6600, 15968, 267, 3432, 267, 2557, 267, 8773, 2187, 825, 1820, 2891, 4944, 514, 5602, 825, 8773, 6155, 337, 633, 318, 17882, 269, 2998, 4433, 32497, 267, 476, 271, 18286, 994, 825, 1247, 6936, 912, 1038, 536, 815, 8773, 4732, 16428, 318, 17882, 6983, 600, 5028, 10947, 10734, 580, 7465, 318, 4565, 984, 4590, 1038, 1820, 6357, 269, 22487, 11859, 994, 1038, 952, 536, 269, 22487, 11859, 2999, 476, 13679, 543, 536, 269, 22487, 11859, 3436, 476, 14028, 912, 2018, 2736, 454, 825, 8773, 6155, 337, 633, 318, 17882, 14714, 641, 4590, 825, 1820, 2891, 332, 913, 609, 3159, 5602, 825, 4584, 1575, 318, 15953, 4671, 821, 6600, 15968, 267, 3432, 267, 2557, 267, 8773, 2020, 3698, 8095, 7272, 1157, 1575, 6831, 3300, 22018, 3772, 6600, 15968, 267, 3432, 267, 2557, 267, 8773, 2187, 825, 1820, 2891, 4944, 514, 5602, 825, 8773, 6155, 337, 633, 318, 17882, 269, 2998, 263, 271, 18286, 267, 3432, 2020, 825, 1247, 6936, 912, 1038, 536, 815, 8773, 4732, 16428, 318, 17882, 6983, 600, 5028, 10947, 10734, 580, 7465, 318, 4565, 984, 4590, 1038, 1820, 6357, 269, 22487, 11859, 994, 1038, 952, 536, 269, 22487, 11859, 2999, 476, 13679, 543, 536, 269, 22487, 11859, 3436, 476, 14028, 912, 2018, 2736, 454, 825, 8773, 6155, 337, 633, 318, 17882, 14714, 641, 4590, 825, 1820, 2891, 332, 913, 609, 3159, 5602, 825, 4584, 1575, 318, 15953, 4671, 821, 6600, 15968, 267, 3432, 267, 2557, 267, 8773, 2020, 3698, 9602, 20189, 2293, 263, 13681, 582, 267, 562, 2187, 825, 1820, 3488, 2750, 31146, 2372, 2884, 25980, 16710, 5073, 825, 8773, 4732, 895, 318, 17882, 4732, 701, 3663, 8548, 6033, 4732, 701, 752, 3799, 994, 825, 1820, 2891, 5226, 2884, 25980, 3247, 5602, 3698, 21448, 263, 13681, 582, 267, 3432, 2187, 825, 1820, 3488, 24375, 681, 2432, 5073, 825, 952, 3432, 10922, 476, 1015, 912, 1038, 2132, 7183, 454, 825, 585, 795, 538, 2039, 263, 275, 2187, 1038, 1820, 27203, 994, 1038, 8773, 6155, 337, 633, 318, 17882, 269, 2998, 14067, 571, 697, 318, 1721, 18425, 2583, 318, 6748, 318, 16780, 18344, 263, 3607, 267, 3432, 994, 1038, 8773, 6155, 337, 633, 318, 17882, 269, 2998, 4433, 32497, 267, 476, 271, 910, 3432, 994, 1038, 1376, 815, 942, 28333, 4590, 1038, 1247, 6936, 912, 2018, 1820, 263, 13681, 582, 4732, 16428, 318, 17882, 6983, 600, 5028, 10947, 10734, 580, 7465, 318, 4565, 984, 14061, 1326, 318, 19327, 15405, 2018, 952, 8773, 4732, 16428, 318, 17882, 6983, 600, 5028, 10947, 10734, 580, 7465, 318, 4565, 984, 14061, 1326, 318, 19327, 3890, 13843, 476, 1220, 912, 3546, 8773, 6155, 337, 633, 318, 17882, 14714, 641, 4590, 3546, 942, 4671, 582, 815, 942, 28333, 3890, 268, 11034, 454, 3546, 8773, 4732, 895, 318, 17882, 4732, 701, 3663, 8548, 6033, 4732, 701, 752, 2891, 15916, 267, 875, 616, 596, 286, 5602, 3546, 942, 4732, 2748, 263, 274, 994, 3546, 1376, 815, 942, 28333, 4590, 3546, 8773, 6155, 337, 633, 318, 17882, 269, 2998, 263, 271, 18286, 267, 3432, 994, 3546, 1247, 6936, 912, 7386, 952, 942, 28333, 3890, 910, 1376, 13843, 942, 4671, 582, 912, 13376, 8773, 6155, 337, 633, 318, 17882, 14714, 641, 4590, 13376, 2736, 454, 3546, 2736, 454, 825, 8773, 4732, 895, 318, 17882, 4732, 701, 3663, 8548, 6033, 4732, 701, 752, 2891, 11742, 585, 5127, 5602, 825, 1820, 2891, 305, 2432, 936, 15419, 3698, 6989, 5091, 27903, 263, 13681, 582, 267, 5569, 2187, 825, 1820, 2891, 28776, 12129, 1376, 5602, 825, 8773, 6155, 337, 633, 318, 17882, 269, 2998, 263, 1789, 267, 476, 1789, 994, 825, 585, 737, 538, 2039, 263, 274, 2187, 1038, 1820, 17347, 994, 1038, 952, 8773, 4732, 16428, 318, 17882, 269, 597, 318, 2889, 343, 14383, 5334, 16428, 10947, 5091, 2700, 18425, 18425, 2583, 3890, 2999, 476, 274, 912, 2018, 2736, 454, 1038, 8773, 4732, 895, 318, 17882, 4732, 701, 3663, 8548, 6033, 4732, 701, 752, 30415, 994, 1038, 942, 4732, 2748, 263, 274, 994, 825, 8773, 6155, 337, 633, 318, 17882, 14714, 641, 4590, 825, 1820, 2891, 28776, 12129, 3247, 15419, 3698, 8524, 263, 13681, 582, 2187, 825, 1820, 3488, 1231, 18936, 1376, 5073, 825, 8773, 4732, 895, 318, 17882, 4732, 701, 3663, 8548, 6033, 4732, 701, 752, 2891, 1692, 568, 3025, 9522, 697, 5602, 825, 8773, 6155, 337, 633, 318, 17882, 269, 2998, 14067, 571, 697, 318, 1721, 18425, 2583, 318, 6748, 318, 16780, 18344, 263, 3607, 267, 476, 1911, 994, 825, 8773, 6155, 337, 633, 318, 17882, 269, 2998, 263, 1789, 267, 910, 1789, 994, 825, 942, 318, 842, 815, 942, 28333, 4590, 825, 1820, 2891, 4944, 514, 5602, 825, 1247, 6936, 912, 1038, 536, 815, 8773, 4732, 16428, 318, 17882, 6983, 600, 5028, 10947, 10734, 580, 7465, 318, 4565, 984, 4590, 1038, 1820, 6357, 269, 22487, 11859, 994, 1038, 952, 536, 269, 22487, 11859, 2999, 476, 13679, 543, 536, 269, 22487, 11859, 3436, 476, 14028, 912, 2018, 2736, 454, 825, 942, 4671, 582, 815, 942, 28333, 3890, 910, 942, 318, 842, 454, 825, 8773, 6155, 337, 633, 318, 17882, 14714, 641, 4590, 825, 8773, 6155, 337, 633, 318, 17882, 269, 2998, 263, 2004, 267, 476, 2004, 994, 825, 942, 273, 815, 942, 28333, 4590, 825, 1247, 6936, 912, 1038, 952, 8773, 4732, 16428, 318, 17882, 269, 597, 318, 2889, 343, 14383, 5334, 16428, 10947, 5091, 2700, 18425, 18425, 2583, 3890, 2999, 476, 272, 912, 2018, 2736, 454, 1038, 1820, 263, 13681, 582, 4732, 16428, 318, 17882, 269, 597, 318, 2889, 343, 14383, 5334, 16428, 10947, 5091, 2700, 18425, 18425, 2583, 15405, 825, 8773, 6155, 337, 633, 318, 17882, 14714, 641, 4590, 825, 942, 4671, 582, 273, 815, 942, 28333, 3890, 910, 942, 273, 454, 825, 8773, 269, 1301, 318, 663, 318, 743, 1177, 269, 571, 1047, 318, 1301, 4590, 825, 8773, 4732, 895, 318, 17882, 4732, 701, 3663, 8548, 6033, 4732, 701, 752, 2891, 296, 723, 547, 29746, 713, 5602, 825, 8773, 6155, 337, 633, 318, 17882, 269, 2998, 14067, 571, 697, 318, 1721, 26000, 6948, 263, 5503, 4671, 582, 273, 267, 910, 2004, 994, 825, 1376, 815, 942, 28333, 4590, 825, 8773, 6155, 337, 633, 318, 17882, 269, 2998, 8987, 1789, 267, 476, 1789, 994, 825, 1247, 6936, 912, 1038, 952, 942, 28333, 3890, 910, 1376, 13843, 942, 4671, 582, 912, 2018, 8773, 6155, 337, 633, 318, 17882, 14714, 641, 4590, 2018, 2736, 454, 825, 8773, 6155, 337, 633, 318, 17882, 269, 2998, 14067, 571, 697, 318, 1721, 18425, 2583, 318, 6748, 318, 16780, 18344, 263, 3607, 267, 910, 1911, 994, 825, 8773, 269, 1301, 318, 663, 318, 743, 1177, 31573, 318, 1301, 4590, 825, 1820, 3488, 1231, 18936, 2347, 17210, 3698, 1118, 6958, 684, 263, 13681, 582, 267, 5569, 2187, 825, 1820, 3488, 329, 5803, 1376, 5073, 825, 8773, 4732, 895, 318, 17882, 4732, 701, 3663, 8548, 6033, 4732, 701, 752, 30415, 994, 825, 1820, 3488, 329, 5803, 2944, 10807, 0, 454, 258, 8193, 281, 30016, 268, 279, 692, 258, 769, 314, 272, 28660, 454, 5228, 28189, 6155, 21648, 1115, 1104, 4452, 10734, 10667, 454, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 22322, 5814, 11885, 607, 5286, 454, 5814, 2979, 7531, 258, 769, 314, 736, 28660, 454, 321, 10667, 815, 4452, 10734, 10667, 10797, 11907, 815, 5286, 15126, 6357, 10667, 9131, 11907, 262, 8079, 8931, 11133, 17601, 815, 1239, 17482, 314, 271, 2639, 339, 13759, 815, 5286, 15126, 6357, 10667, 9131, 339, 13759, 262, 7481, 11743, 815, 5286, 32557, 16597, 267, 9471, 815, 476, 271, 994, 560, 323, 815, 5286, 14714, 323, 16597, 267, 7852, 815, 476, 271, 994, 11907, 815, 630, 11907, 910, 1611, 8358, 560, 323, 454, 11907, 815, 5286, 269, 26383, 14067, 871, 9230, 11907, 267, 12639, 269, 2158, 16325, 17601, 4297, 9239, 258, 769, 314, 2641, 28660, 454, 2745, 30800, 258, 769, 314, 3393, 28660, 454, 311, 17601, 273, 267, 311, 15305, 11971, 17601, 273, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 16597, 267, 3077, 267, 476, 1449, 15481, 815, 476, 271, 269, 273, 267, 4351, 26077, 815, 476, 271, 264, 22322, 311, 17601, 267, 311, 26371, 11971, 17601, 267, 586, 26371, 815, 5721, 15305, 5334, 5902, 11583, 17601, 273, 267, 586, 17601, 273, 267, 476, 1449, 15481, 815, 476, 271, 269, 272, 267, 4351, 26077, 815, 476, 271, 264, 22322, 2745, 3488, 32086, 1305, 3337, 281, 3299, 311, 17601, 17482, 994, 2745, 3488, 14818, 1305, 3337, 281, 3299, 311, 15305, 17482, 994, 2745, 3488, 11749, 9179, 1305, 3337, 281, 3299, 311, 26371, 17482, 994, 2745, 12169, 17601, 17482, 994, 2745, 12169, 15305, 17482, 994, 2745, 12169, 26371, 17482, 9239, 258, 769, 314, 5379, 28660, 692, 5035, 12430, 8802, 1833, 24998, 2187, 567, 1219, 6449, 8181, 9191, 1345, 2187, 11434, 1582, 15030, 815, 7183, 454, 567, 1219, 2530, 4311, 267, 2473, 267, 586, 267, 1036, 2187, 11434, 8173, 11434, 30770, 519, 2530, 1599, 543, 922, 12045, 269, 8528, 11434, 18452, 338, 912, 11434, 910, 2473, 281, 589, 11885, 5044, 540, 3337, 630, 301, 267, 667, 264, 5627, 476, 715, 454, 1363, 1239, 2798, 282, 1142, 1448, 814, 10155, 667, 563, 11434, 910, 586, 281, 589, 11885, 5044, 540, 3337, 630, 301, 267, 264, 5627, 9072, 585, 519, 1305, 563, 11434, 910, 1036, 281, 630, 15615, 264, 2834, 1436, 4222, 780, 11434, 16849, 281, 589, 24042, 5627, 912, 11434, 910, 2530, 607, 513, 2582, 10581, 454, 11434, 910, 13506, 609, 2463, 547, 1582, 15030, 282, 606, 5044, 540, 519, 1482, 3337, 607, 654, 454, 11434, 8173, 11434, 1003, 17601, 815, 2473, 17482, 314, 271, 2639, 1038, 454, 11434, 2392, 815, 2473, 31715, 4311, 15030, 994, 1038, 454, 11434, 1948, 1492, 1611, 4009, 2530, 454, 11434, 2530, 318, 916, 815, 16733, 335, 1042, 910, 586, 1040, 307, 1040, 25346, 9230, 335, 1042, 910, 586, 4297, 270, 11133, 17601, 270, 273, 454, 11434, 1948, 1492, 2834, 1436, 2530, 454, 11434, 1036, 318, 310, 815, 1582, 15030, 11468, 268, 272, 2639, 11434, 2530, 318, 2958, 815, 1036, 265, 12639, 27904, 263, 2958, 318, 310, 265, 2958, 318, 310, 994, 11434, 1948, 1492, 2698, 2530, 3097, 11434, 2530, 815, 2530, 318, 916, 476, 1341, 2530, 318, 2958, 454, 11434, 5552, 318, 916, 815, 630, 311, 11053, 1040, 25346, 9638, 1042, 3917, 8358, 11133, 17601, 825, 454, 11434, 5552, 318, 2958, 815, 476, 273, 265, 2958, 265, 1345, 15030, 454, 11434, 5552, 318, 2958, 15631, 272, 316, 815, 476, 271, 454, 11434, 5552, 815, 5552, 318, 2958, 1341, 5552, 318, 916, 454, 11434, 2132, 2530, 267, 326, 2784, 454, 567, 1219, 5721, 630, 1345, 267, 2473, 17601, 267, 586, 17601, 267, 311, 26371, 11971, 26371, 267, 1565, 318, 3433, 267, 1036, 267, 1003, 318, 527, 619, 2187, 11434, 8173, 11434, 21541, 713, 5276, 29976, 1210, 16801, 13506, 16350, 780, 11434, 18452, 338, 912, 11434, 910, 2473, 281, 589, 11885, 5044, 540, 3337, 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, 288, 2648, 540, 6189, 779, 4739, 543, 2979, 1847, 1927, 563, 12385, 24136, 9388, 609, 519, 7493, 2035, 540, 942, 267, 5666, 267, 3845, 267, 9511, 267, 6252, 3515, 267, 543, 849, 519, 1964, 540, 519, 2027, 2338, 649, 616, 3221, 656, 609, 269, 1411, 798, 991, 547, 581, 2111, 547, 2721, 610, 2099, 10502, 519, 3169, 1482, 593, 2247, 779, 3750, 267, 4352, 596, 1810, 1406, 786, 991, 547, 581, 513, 22301, 547, 1118, 4656, 540, 513, 2243, 20414, 563, 1432, 4633, 1603, 948, 6189, 543, 6128, 666, 581, 17358, 286, 898, 666, 581, 513, 16602, 2243, 269, 1284, 616, 2111, 547, 17551, 602, 6310, 6436, 2491, 519, 7493, 539, 4644, 3297, 8726, 3116, 267, 1247, 6189, 9388, 609, 15889, 6927, 1519, 5656, 267, 9897, 267, 543, 1256, 31966, 269, 1717, 267, 972, 616, 269, 2913, 779, 1491, 513, 1413, 454, 16631, 543, 2979, 1810, 1406, 4866, 883, 519, 685, 1245, 16447, 685, 540, 18765, 543, 5666, 269, 3163, 814, 1044, 3811, 538, 16326, 1919, 602, 616, 1007, 543, 538, 8159, 1018, 1185, 1044, 3768, 4593, 2642, 269, 3163, 814, 4179, 2517, 4178, 14714, 565, 2378, 12975, 270, 15161, 270, 15001, 333, 7236, 270, 10520, 3175, 11258, 1044, 519, 1034, 25133, 585, 2679, 1007, 4555, 543, 2035, 269, 4634, 1498, 972, 616, 1346, 945, 8044, 602, 1034, 18765, 1058, 2731, 581, 8547, 538, 5168, 2073, 789, 3111, 547, 5660, 602, 6436, 543, 2093, 616, 1152, 2111, 547, 581, 581, 607, 899, 1346, 3283, 945, 2285, 6765, 547, 4586, 1432, 649, 8275, 649, 941, 711, 3222, 540, 4505, 269, 1323, 6221, 540, 519, 4541, 543, 922, 1604, 799, 729, 4986, 1454, 811, 982, 4672, 19735, 568, 1631, 513, 8511, 3154, 602, 779, 21006, 2010, 269, 1635, 12570, 519, 2175, 896, 606, 1367, 666, 7747, 519, 4720, 269, 589, 6656, 540, 11247, 602, 814, 1044, 1175, 513, 7206, 593, 17198, 568, 27057, 513, 17001, 538, 606, 9838, 2631, 602, 519, 4778, 540, 519, 22839, 786, 4268, 538, 519, 15437, 540, 741, 26965, 269, 1452, 1919, 616, 10832, 540, 519, 6656, 540, 5013, 543, 540, 513, 6656, 5552, 655, 29794, 2593, 270, 540, 9637, 563, 4415, 782, 519, 5351, 540, 6128, 267, 649, 1522, 1631, 1265, 856, 875, 1945, 729, 3812, 269, 1284, 666, 711, 20912, 602, 649, 723, 2097, 513, 1279, 1259, 2094, 519, 2085, 540, 519, 6093, 1268, 267, 4352, 634, 6927, 3357, 547, 581, 1223, 581, 606, 1719, 540, 4661, 269, 2060, 519, 948, 540, 2979, 267, 649, 616, 1631, 2111, 547, 1589, 540, 6191, 607, 7919, 609, 741, 9843, 543, 2219, 3157, 269, 2334, 3085, 1406, 17538, 602, 519, 3457, 649, 1711, 949, 711, 7985, 609, 11605, 267, 1928, 267, 543, 8429, 267, 1152, 607, 649, 782, 798, 267, 855, 649, 666, 1589, 540, 873, 649, 991, 873, 547, 2731, 723, 563, 13043, 849, 25601, 519, 1883, 267, 4352, 18321, 814, 4547, 721, 6266, 540, 6927, 649, 4769, 1406, 8275, 649, 5551, 547, 12492, 269, 1879, 649, 2936, 4010, 519, 1360, 1482, 2035, 649, 616, 2111, 547, 9472, 519, 2104, 269, 901, 8856, 568, 1634, 607, 519, 4521, 540, 32322, 269, 12307, 3112, 581, 2808, 538, 10072, 282, 789, 723, 547, 581, 2322, 883, 2796, 607, 513, 1259, 547, 1831, 1634, 563, 2791, 2731, 1810, 1406, 786, 991, 547, 581, 513, 22301, 547, 917, 543, 946, 6310, 6436, 269, 1809, 267, 596, 1058, 917, 827, 1018, 2979, 543, 6128, 1374, 2731, 616, 782, 543, 875, 789, 9305, 609, 835, 1776, 269, 0, 16352, 513, 606, 15755, 7181, 1223, 2285, 596, 9636, 269, 3600, 7190, 568, 711, 513, 1434, 1995, 543, 621, 1223, 581, 4049, 607, 621, 666, 1291, 547, 824, 19210, 525, 269, 1809, 596, 666, 1118, 930, 11941, 538, 519, 1259, 596, 3548, 865, 602, 596, 666, 10726, 519, 23639, 269, 2290, 540, 519, 1034, 1455, 5796, 596, 666, 5873, 568, 602, 2736, 1524, 707, 6980, 883, 4130, 13980, 269, 3680, 4189, 538, 1804, 7306, 543, 849, 3548, 693, 519, 1697, 942, 269, 24367, 519, 2834, 4189, 942, 568, 513, 1434, 2259, 269, 898, 568, 849, 1373, 15695, 602, 596, 798, 711, 4235, 1175, 1354, 596, 786, 3548, 563, 2710, 711, 4235, 1454, 950, 4189, 269, 11644, 568, 1434, 855, 621, 1058, 711, 581, 2944, 950, 596, 1175, 8737, 4189, 563, 1103, 1840, 547, 707, 1426, 6161, 267, 1025, 663, 3536, 616, 1434, 585, 596, 607, 1454, 3282, 568, 711, 1434, 269, 29759, 616, 519, 3283, 5227, 543, 849, 513, 19997, 269, 1879, 621, 2501, 547, 519, 15165, 6161, 267, 596, 666, 723, 536, 4593, 7057, 799, 616, 711, 8645, 538, 8137, 610, 1106, 269, 589, 26889, 568, 849, 1434, 267, 4672, 1212, 4461, 267, 8169, 731, 267, 855, 3410, 20488, 267, 1225, 1091, 267, 543, 30077, 902, 616, 4847, 267, 543, 5227, 269, 1411, 666, 849, 4235, 4411, 5144, 1354, 2469, 547, 3207, 563, 2690, 519, 1426, 602, 596, 1058, 2057, 267, 972, 568, 519, 6995, 267, 4568, 267, 10269, 267, 5061, 9638, 664, 26973, 619, 267, 29469, 1040, 2052, 2740, 3536, 1058, 849, 581, 14284, 607, 972, 1223, 581, 3114, 8886, 1218, 269, 13022, 6350, 5613, 616, 711, 1434, 543, 849, 4608, 10541, 5388, 267, 14546, 267, 11945, 267, 543, 7401, 269, 2290, 540, 519, 4128, 585, 2348, 23639, 568, 2566, 865, 2119, 543, 24390, 621, 519, 1259, 596, 899, 269, 1879, 596, 3548, 621, 568, 1655, 952, 596, 786, 1491, 519, 942, 547, 6001, 585, 476, 736, 3764, 543, 849, 1310, 4189, 269, 0, 24092, 6128, 1983, 4362, 2038, 538, 1272, 666, 3715, 513, 2178, 2497, 585, 707, 27344, 781, 2069, 607, 1134, 607, 1732, 741, 1620, 540, 1454, 811, 2352, 6310, 3741, 538, 519, 2104, 269, 8866, 609, 513, 4396, 6310, 2497, 616, 1034, 2693, 547, 581, 2111, 547, 1966, 4368, 267, 1118, 4296, 538, 1063, 1114, 3615, 543, 2093, 267, 543, 849, 1585, 824, 6946, 5773, 269, 901, 3085, 1405, 1611, 596, 991, 547, 1205, 513, 20131, 585, 707, 9251, 518, 610, 723, 873, 798, 6128, 3211, 789, 616, 711, 782, 1305, 585, 563, 2791, 666, 11338, 6451, 6128, 998, 13475, 269, 1403, 596, 616, 4466, 856, 827, 3284, 525, 267, 1118, 621, 513, 3815, 547, 2206, 267, 834, 276, 9741, 589, 6647, 15775, 2201, 519, 16170, 2668, 634, 1482, 6240, 666, 10123, 581, 8246, 950, 596, 616, 2542, 2835, 547, 1762, 1453, 269, 1703, 616, 6266, 540, 12326, 602, 11753, 10203, 883, 741, 1650, 543, 849, 786, 1246, 519, 2511, 596, 616, 6029, 563, 763, 3210, 547, 519, 1101, 14374, 568, 602, 834, 28090, 7874, 257, 568, 519, 12423, 2856, 596, 991, 547, 1331, 1318, 883, 707, 12840, 609, 707, 27344, 269, 3502, 2305, 602, 594, 723, 711, 1256, 7150, 6128, 1813, 547, 519, 1249, 602, 891, 2409, 616, 585, 20231, 1620, 269, 5901, 538, 2247, 547, 7683, 2611, 2318, 609, 707, 4819, 267, 581, 13730, 3823, 4466, 856, 267, 607, 1134, 607, 3251, 2312, 540, 20585, 1145, 538, 707, 1126, 269, 3933, 582, 3415, 2731, 14796, 2634, 2281, 267, 543, 649, 11613, 798, 711, 7287, 602, 2336, 15371, 1813, 547, 519, 1249, 602, 596, 723, 1224, 1250, 1585, 824, 4930, 538, 519, 7216, 19974, 1296, 4065, 543, 1565, 7121, 610, 1317, 596, 723, 2965, 21503, 713, 1888, 2228, 267, 596, 2693, 723, 4145, 3823, 875, 519, 2474, 834, 28090, 7874, 257, 543, 849, 834, 4134, 16225, 532, 6272, 257, 3514, 1318, 883, 707, 12840, 609, 707, 1762, 1126, 269, 25999, 519, 6662, 540, 1312, 568, 547, 4217, 707, 4819, 1265, 856, 267, 865, 1018, 781, 519, 11984, 286, 1772, 835, 1732, 982, 519, 824, 888, 30475, 12072, 512, 585, 2186, 1120, 691, 839, 574, 921, 21300, 22403, 6919, 602, 1376, 609, 562, 543, 1439, 609, 562, 327, 9994, 8696, 2238, 585, 3214, 538, 1153, 516, 1551, 1052, 1650, 2430, 996, 9994, 8696, 8239, 3211, 1863, 16451, 1126, 27231, 7801, 1820, 8083, 11779, 7124, 705, 322, 1433, 25346, 1540, 2338, 585, 1603, 2259, 11794, 3756, 543, 2238, 0, 16920, 1549, 281, 1280, 1837, 267, 1569, 9479, 543, 9360, 616, 711, 16798, 609, 1031, 3688, 563, 6635, 337, 1161, 538, 476, 274, 268, 278, 6355, 17963, 454, 2026, 2622, 2782, 594, 14405, 547, 513, 2673, 538, 476, 4489, 279, 267, 4436, 4961, 616, 5182, 1324, 543, 7092, 896, 513, 1065, 4809, 12512, 269, 590, 4869, 8696, 4458, 6040, 5651, 6308, 568, 14324, 269, 3571, 4651, 5747, 538, 519, 2112, 543, 1010, 4587, 7015, 1869, 4220, 1010, 1272, 538, 519, 512, 29168, 267, 855, 1010, 3993, 1281, 711, 1489, 519, 13348, 5328, 2014, 543, 1140, 1742, 1016, 951, 633, 24180, 11401, 269, 2755, 1010, 3993, 2535, 919, 538, 519, 4838, 547, 30908, 2476, 519, 21257, 267, 5651, 6308, 8813, 538, 2648, 609, 513, 6014, 8004, 945, 849, 568, 513, 24180, 269, 1879, 5651, 6308, 781, 7015, 7024, 1753, 513, 15280, 267, 544, 2727, 539, 2112, 25982, 267, 4712, 547, 16620, 5125, 781, 14710, 593, 3388, 855, 519, 2025, 1931, 267, 5651, 6308, 1590, 3442, 1063, 1010, 14336, 4800, 547, 1010, 5906, 569, 9097, 1242, 7015, 543, 1346, 945, 721, 615, 538, 519, 1007, 9111, 269, 0, 300, 2313, 3336, 568, 835, 540, 519, 1034, 8949, 543, 1072, 5006, 3536, 538, 519, 1158, 269, 898, 666, 581, 513, 1390, 2707, 540, 8324, 267, 14434, 543, 513, 2603, 540, 1898, 6886, 269, 14755, 267, 789, 616, 3170, 1863, 543, 616, 1970, 538, 8477, 799, 616, 519, 4998, 4128, 1946, 1169, 15847, 3461, 1058, 1491, 621, 269, 634, 3747, 540, 17228, 568, 2810, 19951, 269, 1411, 666, 4444, 17228, 4516, 610, 666, 1332, 873, 538, 707, 1753, 269, 3509, 1004, 616, 3843, 547, 1332, 17228, 538, 741, 4677, 610, 1256, 538, 519, 8708, 269, 1809, 267, 1419, 267, 789, 3068, 1896, 2042, 1813, 547, 930, 15877, 538, 741, 3395, 1184, 269, 769, 713, 2022, 513, 2347, 1469, 593, 519, 3395, 1184, 540, 17228, 786, 581, 4330, 563, 15650, 540, 631, 2313, 7741, 1411, 2052, 22320, 454, 2791, 1810, 1406, 1616, 547, 1332, 20715, 3283, 267, 1318, 286, 3371, 568, 513, 1592, 540, 519, 1655, 17228, 602, 596, 666, 1332, 538, 707, 8708, 1107, 11511, 2381, 328, 267, 6519, 7735, 267, 26757, 527, 820, 267, 744, 344, 3122, 267, 631, 7159, 820, 543, 5800, 984, 10314, 269, 1452, 17228, 616, 5001, 4583, 585, 741, 6492, 543, 11999, 2640, 269, 1677, 1332, 873, 267, 596, 666, 4444, 695, 7741, 2228, 4516, 547, 1376, 519, 12093, 269, 1717, 267, 1142, 540, 873, 2115, 513, 1114, 1604, 971, 607, 3043, 7735, 27422, 513, 11003, 539, 5420, 1247, 695, 328, 527, 820, 543, 23690, 3122, 666, 1332, 593, 3574, 543, 4718, 706, 560, 6606, 563, 29613, 531, 9255, 585, 19663, 631, 2313, 7741, 454, 6524, 1376, 3395, 17228, 267, 596, 1590, 1589, 543, 1544, 827, 519, 2898, 1184, 1101, 269, 7849, 17228, 10416, 4782, 3579, 267, 4158, 267, 5848, 543, 18519, 1604, 543, 950, 596, 616, 4058, 593, 3395, 17228, 538, 707, 1753, 267, 1287, 707, 25810, 666, 581, 513, 3501, 1747, 585, 873, 269, 8347, 547, 2226, 519, 2837, 1472, 476, 4649, 1107, 610, 476, 2568, 24266, 18278, 269, 9282, 3006, 6225, 17228, 666, 3006, 20496, 513, 2370, 3787, 8515, 540, 1769, 267, 855, 596, 1058, 2119, 547, 1832, 873, 538, 18632, 543, 5848, 1747, 547, 3986, 741, 2208, 563, 1692, 2052, 1411, 22320, 23067, 888, 2252, 596, 723, 606, 4998, 1747, 267, 1287, 942, 547, 1353, 827, 519, 1184, 540, 3395, 17228, 269, 1684, 596, 917, 875, 798, 789, 1332, 286, 6145, 519, 2371, 267, 789, 1810, 1406, 1332, 689, 5452, 267, 855, 689, 24032, 269, 1677, 1376, 741, 12093, 267, 621, 568, 1732, 547, 1205, 513, 2635, 6292, 540, 17228, 799, 596, 666, 1205, 689, 968, 321, 8500, 695, 7741, 4516, 1848, 269, 12518, 723, 28060, 267, 799, 2636, 873, 547, 3132, 741, 1378, 1426, 998, 513, 4105, 1184, 1572, 15591, 267, 855, 13271, 1810, 1406, 723, 873, 269, 674, 2426, 328, 991, 547, 7048, 593, 519, 6878, 593, 799, 789, 8853, 269, 1358, 19718, 5567, 543, 741, 1898, 2115, 689, 519, 4718, 706, 560, 267, 18137, 267, 12450, 267, 5277, 610, 3574, 13365, 269, 4107, 540, 519, 17228, 8853, 693, 519, 1655, 2557, 538, 519, 11003, 539, 5420, 269, 1323, 1840, 540, 7509, 543, 4158, 1604, 960, 1256, 1732, 269, 27297, 741, 3356, 5781, 543, 5402, 5469, 875, 741, 1250, 4897, 1756, 568, 3395, 269, 631, 2313, 7741, 3622, 9428, 1454, 5488, 982, 1866, 563, 28830, 547, 3680, 585, 2659, 631, 2313, 7741, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 729, 9672, 538, 645, 3201, 289, 11305, 8983, 269, 634, 700, 269, 21050, 3821, 11259, 8833, 729, 3812, 538, 20117, 1210, 513, 6024, 2333, 538, 3075, 2604, 269, 634, 3444, 4187, 540, 700, 269, 21050, 3821, 547, 824, 5061, 729, 849, 11567, 563, 24342, 281, 5475, 476, 736, 6024, 15102, 267, 519, 645, 3201, 289, 11305, 8983, 7318, 2942, 538, 519, 1646, 540, 682, 880, 2006, 15633, 269, 2311, 513, 5834, 540, 476, 271, 269, 272, 18725, 326, 8276, 299, 267, 700, 269, 21050, 3821, 4951, 4187, 547, 18041, 645, 269, 634, 9241, 2919, 1596, 770, 580, 4925, 941, 476, 1626, 2053, 811, 11259, 3379, 547, 519, 4187, 540, 519, 3552, 1826, 1596, 770, 580, 4925, 269, 634, 11259, 700, 269, 21050, 3821, 8833, 4951, 3444, 4187, 547, 621, 571, 935, 31152, 543, 1185, 513, 4187, 4994, 602, 729, 3152, 982, 2947, 269, 634, 11259, 8833, 10268, 5021, 6617, 585, 811, 982, 1614, 3275, 538, 519, 3075, 6954, 5420, 563, 3519, 7501, 281, 763, 11259, 8833, 540, 700, 269, 21050, 3821, 666, 581, 3812, 538, 20682, 1210, 6024, 3075, 2604, 269, 634, 22887, 18050, 11259, 8833, 814, 1713, 6286, 630, 18485, 1199, 1227, 543, 27268, 264, 538, 519, 2702, 547, 7753, 4187, 563, 8867, 880, 2006, 15633, 568, 513, 1272, 18446, 2068, 602, 568, 3361, 676, 513, 1486, 9926, 15351, 21313, 540, 519, 12593, 2274, 880, 2006, 807, 282, 713, 12593, 568, 7768, 540, 811, 982, 476, 736, 1114, 2249, 269, 634, 2068, 568, 10299, 998, 943, 548, 15318, 8533, 5070, 13733, 267, 799, 2874, 540, 811, 982, 476, 1789, 2249, 538, 2025, 8996, 682, 880, 2006, 15633, 543, 700, 583, 345, 558, 807, 538, 2474, 540, 1007, 8996, 682, 880, 2006, 15633, 630, 272, 1040, 634, 1272, 4783, 540, 2274, 880, 2006, 807, 568, 2007, 523, 2045, 267, 20367, 1063, 2138, 850, 267, 29414, 267, 543, 9206, 749, 730, 1596, 770, 580, 4925, 269, 898, 10953, 538, 519, 6152, 8937, 543, 568, 1875, 22286, 698, 749, 730, 269, 6348, 2173, 582, 850, 993, 770, 580, 4925, 1106, 543, 616, 6738, 538, 513, 27899, 3984, 630, 273, 1040, 2274, 880, 2006, 15633, 814, 1044, 19040, 883, 1614, 1114, 4791, 3029, 281, 2759, 10389, 682, 880, 2006, 15633, 630, 12710, 1070, 11940, 665, 583, 10389, 682, 880, 2006, 15633, 630, 10157, 299, 1070, 543, 1471, 30844, 682, 880, 2006, 15633, 630, 309, 299, 1070, 782, 540, 799, 4268, 538, 2474, 540, 741, 4761, 2619, 3098, 543, 519, 6708, 540, 9019, 543, 24896, 630, 274, 1040, 3794, 984, 958, 267, 519, 2068, 5540, 476, 1321, 2929, 1004, 269, 5549, 573, 1878, 540, 476, 271, 269, 276, 2929, 1007, 2665, 540, 966, 299, 543, 476, 272, 269, 276, 2929, 2665, 540, 14160, 616, 4080, 12422, 630, 275, 1040, 1703, 814, 1044, 513, 476, 5655, 24670, 2333, 538, 519, 9860, 540, 682, 880, 2006, 15633, 936, 519, 2063, 476, 1428, 1296, 630, 276, 1916, 24868, 725, 538, 7636, 543, 23020, 4162, 7866, 519, 4756, 18687, 540, 2274, 880, 2006, 807, 547, 5061, 267, 971, 607, 20008, 10052, 550, 17059, 517, 10118, 267, 1612, 558, 3912, 11142, 267, 20842, 3421, 267, 7510, 23432, 565, 4878, 3234, 573, 1149, 782, 641, 584, 26096, 267, 543, 782, 641, 584, 26096, 10775, 657, 728, 630, 277, 1040, 634, 2188, 3238, 538, 519, 2333, 538, 13685, 1331, 519, 3668, 540, 2500, 1852, 3800, 585, 1312, 10321, 543, 15495, 267, 4057, 1702, 540, 519, 2068, 267, 513, 3668, 540, 1072, 4507, 267, 543, 519, 1016, 9953, 2711, 18262, 540, 519, 3075, 267, 799, 814, 1044, 2810, 6385, 630, 278, 267, 476, 279, 1040, 3794, 1075, 656, 830, 568, 519, 1101, 1899, 540, 2126, 585, 682, 880, 2006, 15633, 269, 589, 4187, 540, 476, 2004, 260, 547, 6722, 656, 830, 814, 1044, 4080, 538, 3127, 630, 280, 1040, 623, 3766, 569, 19817, 4710, 514, 24975, 4187, 538, 2274, 880, 2006, 807, 547, 552, 750, 26307, 814, 2907, 1044, 4857, 538, 2274, 880, 2006, 807, 21050, 3821, 630, 1015, 1916, 8649, 31688, 20143, 514, 645, 630, 2086, 645, 264, 568, 513, 4874, 2940, 15084, 602, 568, 1031, 607, 519, 2034, 1899, 540, 2126, 585, 14160, 269, 2549, 335, 645, 25907, 547, 23908, 8803, 565, 267, 519, 1292, 10322, 565, 1459, 538, 700, 269, 21050, 3821, 267, 8347, 3966, 25593, 2267, 17844, 267, 543, 13271, 269, 26100, 573, 30422, 630, 8649, 289, 529, 727, 543, 2549, 874, 665, 559, 264, 540, 18041, 645, 723, 1044, 2919, 547, 7753, 17219, 543, 4187, 267, 607, 1134, 607, 547, 2087, 519, 9354, 4994, 269, 1358, 2099, 606, 4244, 2126, 585, 14160, 543, 966, 299, 630, 1556, 268, 1724, 1040, 634, 8417, 540, 2274, 880, 2006, 807, 547, 2139, 543, 3209, 5061, 814, 1713, 4791, 6286, 563, 2026, 18041, 645, 30422, 616, 5051, 1031, 585, 519, 2126, 540, 682, 880, 2006, 15633, 267, 649, 4956, 547, 1353, 519, 8417, 540, 621, 571, 935, 31152, 267, 11337, 27019, 31152, 267, 543, 2113, 974, 325, 27343, 602, 616, 11259, 267, 607, 1134, 607, 519, 8417, 540, 3552, 3029, 540, 519, 700, 269, 21050, 3821, 8833, 563, 274, 269, 10049, 543, 10613, 454, 274, 269, 272, 269, 10049, 13242, 454, 300, 4215, 631, 1960, 630, 1103, 10903, 4088, 267, 7330, 1070, 681, 303, 11085, 630, 1103, 10903, 4088, 267, 7330, 1070, 4050, 27957, 630, 306, 7950, 267, 5125, 1070, 6790, 696, 3912, 11142, 630, 8649, 637, 1723, 267, 11882, 1070, 513, 476, 9834, 1134, 6676, 630, 9915, 299, 5020, 7070, 267, 9705, 1070, 19341, 536, 990, 710, 16796, 630, 5183, 288, 8534, 14898, 717, 3387, 295, 267, 15212, 1070, 18041, 645, 630, 306, 7950, 5025, 671, 5341, 1070, 2113, 974, 325, 27343, 630, 306, 7950, 5025, 671, 5341, 1070, 11337, 27019, 31152, 630, 306, 7950, 5025, 671, 5341, 1070, 621, 571, 935, 31152, 630, 306, 7950, 5025, 671, 5341, 1070, 543, 513, 25132, 760, 8291, 630, 292, 653, 754, 21807, 264, 941, 1031, 538, 519, 4603, 269, 634, 824, 6464, 941, 540, 606, 10763, 3446, 543, 941, 1031, 607, 971, 267, 1510, 2417, 22729, 563, 274, 269, 273, 269, 634, 2311, 1084, 6672, 540, 700, 269, 21050, 3821, 454, 763, 3468, 633, 2528, 540, 519, 700, 269, 21050, 3821, 8833, 729, 13859, 676, 519, 8934, 527, 1108, 1382, 8047, 540, 519, 4972, 540, 25672, 1108, 267, 2160, 540, 623, 21983, 1177, 541, 267, 918, 1506, 828, 623, 752, 6255, 6064, 327, 11445, 267, 9031, 269, 634, 2528, 729, 9738, 538, 513, 631, 1960, 5420, 5627, 476, 1015, 260, 3002, 2987, 716, 17300, 19341, 536, 990, 710, 16796, 630, 6062, 293, 7034, 264, 693, 476, 2190, 9180, 269, 5272, 476, 276, 2395, 267, 519, 8833, 729, 16271, 547, 6024, 1780, 1645, 476, 736, 2053, 630, 1724, 1040, 2991, 519, 1101, 23658, 11857, 729, 5701, 267, 519, 15495, 941, 26912, 4327, 703, 2784, 1069, 958, 547, 513, 1895, 540, 3670, 645, 3201, 289, 11305, 8983, 630, 335, 3420, 1078, 689, 519, 3084, 20576, 540, 646, 987, 267, 5771, 21171, 267, 9031, 1040, 634, 2831, 4607, 1480, 324, 1416, 538, 13076, 609, 519, 5583, 593, 519, 5106, 540, 519, 2831, 630, 27023, 881, 5773, 264, 2920, 540, 476, 2735, 277, 630, 1691, 1040, 634, 22887, 6672, 540, 519, 2528, 729, 9672, 676, 26912, 6819, 519, 21313, 538, 519, 645, 3201, 289, 11305, 8983, 269, 634, 14160, 15087, 538, 519, 8983, 941, 13761, 1169, 476, 273, 2395, 585, 513, 1974, 540, 476, 1789, 2395, 563, 274, 269, 274, 269, 634, 4886, 540, 519, 1763, 9665, 853, 1778, 454, 763, 11259, 1899, 540, 519, 3312, 804, 821, 540, 700, 269, 21050, 3821, 729, 3812, 2687, 547, 519, 5650, 5892, 4330, 630, 1428, 1040, 634, 3552, 15178, 2528, 729, 6738, 538, 631, 1960, 5627, 476, 1015, 260, 28624, 293, 7034, 269, 634, 2528, 729, 11179, 16913, 267, 543, 1780, 1645, 729, 5645, 856, 1169, 476, 276, 2395, 269, 589, 1900, 8386, 9912, 1184, 729, 3323, 538, 799, 519, 2528, 729, 7620, 17861, 730, 609, 476, 271, 269, 4905, 18725, 326, 8276, 299, 540, 18041, 645, 585, 476, 278, 2395, 543, 13604, 6534, 547, 476, 271, 269, 6349, 267, 476, 271, 269, 6734, 267, 476, 271, 269, 6860, 267, 543, 476, 271, 269, 272, 18725, 326, 8276, 299, 269, 634, 3075, 5834, 2799, 9935, 269, 634, 1596, 770, 580, 4925, 4951, 513, 2208, 2557, 6697, 547, 602, 540, 519, 3552, 15178, 804, 821, 4529, 269, 901, 1184, 729, 5645, 856, 585, 2185, 3275, 269, 634, 11259, 3515, 602, 941, 3812, 941, 6740, 693, 476, 2190, 9180, 269, 634, 1007, 267, 22887, 18050, 18041, 645, 15033, 700, 269, 21050, 3821, 8833, 729, 3956, 334, 25535, 5703, 693, 910, 3422, 9180, 538, 5277, 9436, 563, 274, 269, 275, 269, 634, 853, 1464, 540, 519, 1763, 9665, 853, 1778, 454, 2414, 6895, 922, 6617, 267, 519, 11259, 8833, 729, 6738, 538, 519, 631, 1960, 5420, 1510, 18041, 645, 269, 31446, 2004, 729, 5462, 1169, 3018, 585, 1614, 3275, 563, 274, 269, 276, 269, 10318, 1456, 519, 18650, 5426, 454, 5475, 519, 3811, 2504, 540, 519, 11259, 8833, 540, 700, 269, 21050, 3821, 267, 519, 2528, 729, 5701, 609, 1114, 9830, 540, 18041, 645, 538, 513, 1079, 24670, 8920, 1081, 3126, 269, 634, 1596, 770, 580, 4925, 630, 11793, 2281, 8276, 299, 264, 941, 6534, 547, 18041, 645, 585, 476, 2190, 3108, 269, 634, 6871, 540, 15000, 540, 519, 1596, 770, 580, 4925, 729, 7229, 3842, 521, 10176, 18042, 2079, 1210, 590, 31723, 4528, 476, 2641, 563, 274, 269, 277, 269, 9061, 18650, 454, 1805, 1442, 3435, 540, 11337, 13154, 31152, 267, 621, 571, 935, 31152, 267, 543, 2113, 974, 325, 27343, 941, 5423, 676, 4744, 6295, 476, 736, 8406, 538, 476, 272, 16720, 540, 667, 5960, 302, 269, 700, 269, 21050, 3821, 12490, 538, 519, 32568, 5123, 941, 19122, 543, 29809, 547, 9830, 540, 476, 272, 6398, 476, 11793, 2281, 8276, 299, 269, 634, 2528, 729, 17861, 730, 609, 2147, 5061, 585, 476, 2190, 3108, 269, 20640, 1114, 9830, 538, 1079, 24670, 8920, 1903, 941, 1031, 538, 519, 4603, 563, 274, 269, 278, 269, 769, 23554, 549, 4165, 850, 880, 2006, 658, 2667, 599, 454, 274, 269, 278, 269, 272, 269, 9177, 19369, 454, 299, 269, 21050, 3821, 729, 31796, 538, 631, 1960, 2923, 5627, 476, 1015, 260, 28624, 293, 7034, 269, 634, 2528, 729, 17861, 730, 693, 476, 2190, 334, 290, 543, 729, 1780, 3042, 1169, 476, 278, 2395, 563, 274, 269, 278, 269, 273, 269, 2667, 599, 26488, 454, 2304, 538, 20117, 4550, 1790, 668, 770, 580, 4925, 22368, 729, 3812, 2687, 547, 519, 5650, 5892, 4330, 630, 1626, 1040, 16684, 569, 267, 476, 272, 6398, 476, 11793, 1596, 770, 580, 4925, 689, 700, 269, 21050, 3821, 538, 519, 32568, 5123, 941, 19122, 543, 26912, 4327, 593, 513, 476, 9834, 1134, 6676, 5627, 631, 1960, 2923, 269, 14351, 3435, 540, 476, 1015, 267, 1822, 28327, 941, 5423, 607, 519, 1449, 5439, 269, 634, 4603, 3459, 693, 513, 1164, 5834, 540, 476, 1911, 28327, 543, 729, 1583, 6053, 29809, 269, 634, 4603, 729, 5645, 856, 538, 2468, 12393, 269, 634, 10824, 941, 17861, 730, 693, 476, 2190, 9180, 585, 476, 4366, 3108, 269, 2991, 713, 9138, 1974, 540, 942, 267, 476, 1428, 18725, 299, 540, 519, 2528, 729, 5116, 593, 513, 3026, 889, 21516, 10203, 12068, 543, 729, 8947, 896, 513, 1769, 17209, 630, 332, 1725, 1881, 547, 476, 2412, 343, 1040, 634, 6871, 540, 519, 15000, 689, 519, 5701, 543, 15860, 2528, 729, 6592, 269, 634, 1239, 941, 1287, 9268, 1210, 590, 31723, 4528, 476, 2641, 3301, 630, 296, 13696, 267, 1715, 3840, 267, 7330, 264, 585, 31446, 2004, 9273, 563, 274, 269, 279, 269, 18926, 5811, 454, 5472, 540, 519, 6901, 941, 5645, 856, 538, 2468, 12393, 269, 634, 1239, 5833, 941, 19250, 9916, 1210, 590, 31723, 4528, 476, 2641, 3301, 269, 1280, 6476, 267, 2022, 554, 665, 2789, 6476, 4255, 941, 5340, 269, 634, 2418, 941, 6719, 607, 1797, 13008, 519, 3044, 11539, 269, 589, 5506, 1871, 540, 623, 2999, 476, 271, 269, 4962, 729, 2808, 1713, 563, 2304, 538, 20117, 4550, 1790, 668, 770, 580, 4925, 22368, 729, 2813, 585, 946, 1996, 3552, 543, 11259, 15178, 700, 269, 21050, 3821, 12490, 269, 634, 2534, 729, 4767, 693, 1114, 942, 11996, 630, 277, 910, 476, 7761, 3108, 1070, 607, 3254, 538, 7305, 476, 272, 269, 2549, 335, 645, 17820, 1713, 2534, 1996, 519, 700, 269, 21050, 3821, 8833, 269, 634, 31446, 2004, 1871, 7229 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15395, 563, 274, 269, 272, 269, 8092, 2422, 13624, 663, 15147, 7827, 1063, 476, 2735, 271, 267, 476, 1220, 279, 543, 476, 1001, 280, 454, 5804, 519, 8760, 540, 14924, 520, 2592, 585, 476, 2735, 271, 267, 476, 1220, 279, 543, 476, 1001, 280, 267, 3670, 1292, 5049, 941, 4857, 12077, 281, 10053, 18519, 4104, 267, 5186, 680, 663, 267, 1628, 909, 2127, 543, 11953, 2244, 267, 26868, 543, 5757, 667, 10937, 630, 8368, 476, 272, 1916, 1103, 476, 2735, 271, 630, 8201, 476, 274, 1070, 21064, 7693, 2861, 29436, 1150, 2722, 2853, 13026, 606, 1858, 540, 476, 276, 4510, 273, 269, 4366, 688, 630, 271, 269, 279, 15992, 26868, 476, 6507, 267, 3707, 269, 8660, 688, 630, 275, 269, 272, 15992, 19221, 543, 11953, 2244, 476, 4281, 280, 269, 4510, 688, 630, 271, 269, 272, 15992, 18519, 10053, 7733, 4988, 476, 280, 2537, 267, 28091, 269, 1724, 688, 630, 11463, 269, 9262, 8472, 540, 519, 2627, 1858, 540, 519, 15395, 543, 922, 15672, 10851, 269, 769, 476, 1220, 279, 630, 8201, 476, 275, 1070, 21064, 7693, 2861, 29436, 1150, 2722, 2853, 13026, 606, 1858, 540, 476, 273, 260, 630, 736, 267, 12573, 269, 7176, 688, 1070, 26868, 476, 278, 269, 278, 260, 630, 6507, 267, 3707, 269, 8660, 688, 1070, 19221, 543, 11953, 2244, 476, 271, 269, 3451, 260, 630, 279, 8287, 269, 4649, 688, 264, 543, 18519, 10053, 7733, 4988, 476, 8660, 269, 7176, 260, 630, 278, 2412, 267, 19442, 269, 876, 688, 1040, 769, 476, 1001, 280, 630, 8201, 476, 276, 1070, 21064, 7693, 2861, 29436, 1150, 2722, 2853, 13026, 6719, 476, 274, 269, 273, 260, 630, 4029, 267, 5952, 277, 269, 7176, 688, 264, 540, 922, 1858, 267, 26868, 476, 274, 269, 278, 260, 630, 4391, 267, 1960, 269, 1724, 688, 1070, 19221, 543, 11953, 2244, 476, 271, 269, 280, 260, 630, 30130, 275, 269, 2918, 1070, 18519, 10053, 7733, 13026, 476, 11011, 269, 10619, 260, 630, 3445, 276, 267, 277, 6507, 688, 1040, 623, 15959, 658, 7693, 2861, 29436, 1150, 2722, 2853, 568, 3810, 13671, 538, 519, 4639, 543, 5101, 13421, 540, 519, 15395, 543, 538, 519, 5045, 6140, 538, 14252, 13883, 2059, 519, 9897, 269, 634, 10053, 18519, 4104, 568, 4988, 676, 10664, 540, 782, 5686, 971, 607, 4054, 543, 19211, 563, 8368, 476, 272, 269, 1401, 12371, 2244, 946, 543, 2244, 3382, 2010, 538, 519, 1353, 1858, 563, 8201, 476, 274, 269, 8092, 2224, 270, 1633, 3382, 7851, 540, 476, 2735, 271, 563, 8201, 476, 275, 269, 8092, 946, 11305, 1478, 1689, 540, 476, 1220, 279, 563, 274, 269, 273, 269, 8092, 2422, 19590, 1063, 476, 2735, 271, 267, 476, 1220, 279, 543, 476, 1001, 280, 454, 291, 1619, 18519, 4104, 729, 1164, 538, 476, 2735, 271, 30939, 513, 2698, 2627, 1858, 540, 476, 280, 2537, 267, 28091, 269, 1724, 688, 855, 8519, 676, 476, 8146, 267, 271, 6078, 269, 1724, 688, 538, 476, 1220, 279, 543, 606, 2333, 540, 476, 1704, 267, 6812, 277, 688, 538, 476, 1001, 280, 269, 623, 15959, 658, 7693, 2861, 29436, 1150, 2722, 2853, 1995, 519, 5207, 2333, 689, 476, 276, 4510, 273, 269, 4366, 688, 538, 476, 2735, 271, 543, 476, 4029, 267, 5952, 277, 269, 7176, 688, 538, 476, 1001, 280, 630, 8368, 476, 273, 1040, 11370, 559, 16632, 543, 11953, 2127, 2333, 689, 476, 4281, 280, 269, 4510, 688, 538, 476, 2735, 271, 547, 476, 30130, 275, 269, 2918, 688, 538, 476, 1001, 280, 269, 634, 2244, 946, 5049, 454, 8201, 476, 276, 269, 2244, 946, 270, 1633, 3382, 1689, 540, 476, 1001, 280, 563, 8368, 476, 273, 269, 8092, 946, 538, 519, 667, 16576, 543, 922, 15672, 10851, 1063, 476, 2735, 271, 267, 476, 1220, 279, 543, 476, 1001, 280, 563, 7474, 723, 1995, 11636, 1689, 1282, 519, 1974, 540, 476, 3066, 1296, 616, 623, 15959, 658, 7693, 2861, 29436, 1150, 2722, 2853, 267, 19221, 2127, 543, 11953, 2666, 543, 18519, 10053, 4104, 563, 274, 269, 274, 269, 7827, 538, 8092, 2422, 19590, 1063, 476, 2735, 271, 543, 476, 1220, 279, 543, 476, 1220, 279, 543, 476, 1001, 280, 454, 27001, 476, 2735, 271, 543, 476, 1220, 279, 267, 476, 8146, 267, 271, 6078, 269, 1724, 688, 540, 18519, 10053, 4104, 729, 4503, 6719, 476, 275, 269, 280, 260, 540, 4104, 3382, 4503, 630, 8368, 476, 274, 1040, 634, 4104, 4503, 476, 275, 269, 280, 260, 540, 922, 2627, 1858, 538, 3870, 540, 21064, 7693, 2861, 29436, 1150, 2722, 2853, 543, 19221, 2127, 543, 11953, 2244, 6606, 563, 5804, 476, 1220, 279, 547, 476, 1001, 280, 267, 18519, 10053, 4104, 2744, 476, 13679, 267, 3393, 276, 688, 540, 4104, 4503, 1063, 476, 2735, 271, 543, 476, 1220, 279, 8204, 606, 2333, 2557, 540, 476, 272, 269, 1704, 10065, 623, 15959, 658, 7693, 2861, 29436, 1150, 2722, 2853, 543, 19221, 2127, 4810, 513, 11636, 2333, 689, 476, 2735, 271, 547, 476, 1001, 280, 6606, 269, 22911, 1633, 2333, 538, 476, 1220, 279, 543, 6749, 538, 476, 1001, 280, 799, 568, 1644, 547, 519, 20296, 2175, 540, 476, 1220, 279, 799, 1291, 547, 606, 2333, 538, 26868, 563, 8368, 476, 274, 269, 7827, 538, 2244, 946, 270, 1633, 3382, 1063, 476, 2735, 271, 267, 476, 1220, 279, 543, 476, 1220, 279, 543, 476, 1001, 280, 563, 5746, 815, 21561, 610, 6175, 540, 513, 2244, 946, 4559, 563, 274, 269, 275, 269, 8177, 540, 19848, 8328, 11242, 593, 519, 667, 10937, 4437, 14459, 15944, 630, 291, 16576, 994, 295, 2863, 532, 267, 16276, 540, 3529, 2861, 2472, 543, 1793, 1662, 543, 6633, 6683, 616, 519, 2101, 2238, 799, 952, 711, 1852, 786, 1291, 547, 12159, 540, 519, 4104, 3382, 540, 713, 15395, 269, 11683, 640, 540, 519, 2551, 540, 667, 16576, 6719, 676, 476, 3607, 269, 274, 260, 4096, 593, 10122, 607, 513, 2707, 540, 1426, 543, 4747, 269, 1879, 789, 979, 547, 519, 4104, 547, 6968, 267, 519, 2759, 11710, 540, 1447, 982, 476, 736, 544, 547, 3964, 13796, 5321, 543, 891, 1762, 11710, 616, 849, 946, 547, 5965, 20637, 585, 2831, 267, 782, 713, 814, 2942, 1198, 593, 20344, 540, 891, 2371, 540, 713, 15395, 269, 6215, 1662, 543, 6633, 6683, 568, 513, 1455, 2259, 538, 713, 1858, 543, 476, 6246, 269, 275, 260, 540, 519, 2551, 4096, 9003, 593, 713, 2259, 269, 634, 8593, 1524, 782, 519, 4054, 543, 1305, 3595, 593, 621, 547, 3964, 4729, 540, 22101, 6072, 267, 2666, 22756, 543, 2030, 1622, 269, 1879, 3595, 568, 1031, 621, 1291, 547, 519, 9552, 540, 5214, 2339, 538, 519, 3037, 267, 543, 538, 2490, 267, 547, 513, 7771, 538, 519, 7607, 540, 519, 10664, 543, 519, 7031, 12630, 593, 519, 26151, 4729, 269, 28610, 532, 540, 3529, 2861, 2472, 630, 736, 269, 274, 8472, 6140, 3046, 802, 540, 4054, 585, 16392, 5301, 568, 849, 513, 2014, 540, 519, 12159, 540, 519, 10664, 3382, 1813, 547, 519, 946, 5667, 20980, 16276, 2553, 563, 274, 269, 276, 269, 12472, 540, 3397, 549, 1150, 2722, 13756, 538, 519, 667, 10937, 4437, 14459, 15944, 454, 1103, 519, 667, 16576, 267, 6705, 2259, 7471, 1949, 1519, 6683, 543, 29436, 1150, 2722, 799, 729, 4857, 607, 519, 1292, 2707, 540, 17612, 585, 519, 2199, 2551, 269, 634, 667, 16576, 799, 568, 5258, 883, 3162, 267, 4639, 267, 5101, 543, 3345, 13421, 1185, 7648, 538, 1858, 896, 14713, 269, 1452, 16916, 2127, 941, 6140, 519, 5610, 540, 7031, 543, 21064, 4054, 593, 519, 1482, 4062, 540, 2244, 799, 666, 581, 17941, 29436, 1150, 2722, 269, 634, 4639, 543, 5101, 13421, 630, 8201, 476, 276, 264, 1185, 519, 5207, 1858, 896, 21064, 7693, 2861, 29436, 1150, 2722, 2853, 1317, 891, 2127, 941, 4092, 6251, 547, 1034, 9897, 269, 634, 3345, 12440, 1185, 519, 2547, 1858, 896, 21064, 7693, 2861, 29436, 1150, 2722, 2853, 1813, 547, 16133, 547, 519, 15395, 543, 4492, 3574, 267, 1875, 2389, 574, 828, 4104, 2472, 941, 2653, 585, 519, 2551, 547, 3914, 543, 713, 1223, 581, 835, 540, 519, 2601, 585, 519, 1970, 1858, 896, 21064, 7693, 2861, 29436, 1150, 2722, 2853, 543, 849, 538, 17739, 2225, 540, 519, 12440, 547, 2101, 9897, 543, 6990, 563, 291, 3428, 923, 540, 8092, 2422, 13624, 663, 15147, 7827, 454, 763, 2079, 540, 2244, 946, 2244, 3382, 1689, 540, 519, 667, 10937, 4437, 14459, 15944, 4951, 513, 7771, 538, 18519, 10053, 4104, 1063, 476, 2735, 271, 543, 476, 1220, 279, 693, 519, 13258, 540, 21064, 7693, 2861, 29436, 1150, 2722, 2853, 267, 19221, 2127, 543, 11953, 3037, 269, 634, 1482, 1267, 941, 5833, 676, 630, 291, 329, 542, 2998, 1696, 620, 1421, 476, 1708, 271, 264, 538, 519, 25376, 9346, 715, 323, 329, 1342, 320, 2817, 5244, 945, 4080, 513, 9695, 538, 2067, 2030, 21272, 676, 476, 1724, 269, 275, 260, 538, 476, 2918, 1296, 693, 519, 13258, 540, 27643, 2238, 971, 607, 7693, 4610, 267, 11953, 3037, 267, 543, 5989, 269, 1452, 2164, 616, 849, 2147, 547, 1346, 540, 630, 307, 655, 326, 537, 320, 1696, 620, 1421, 476, 1001, 279, 321, 264, 538, 519, 9286, 4104, 540, 30622, 1470, 2000, 328, 11860, 5028, 538, 22703, 932, 611, 543, 1346, 630, 13051, 3716, 329, 7534, 1299, 22695, 817, 537, 267, 476, 1001, 278, 264, 538, 543, 1472, 519, 654, 13636, 5244, 540, 5484, 514, 267, 799, 2982, 513, 6024, 9695, 538, 4104, 543, 5260, 20087, 693, 519, 13258, 540, 2887, 3298, 267, 7693, 4610, 267, 11953, 3037, 543, 17260, 269, 7797, 676, 630, 307, 655, 326, 537, 320, 1696, 620, 1421, 476, 1001, 279, 320, 264, 849, 1397, 602, 519, 589, 16660, 328, 2146, 4104, 538, 519, 3345, 4639, 267, 23759, 3019, 568, 7680, 606, 5571, 9695, 543, 513, 3152, 851, 540, 621, 568, 10736, 547, 23661, 10664, 543, 11953, 11934, 1813, 547, 21737, 540, 3032, 14782, 269, 3245, 476, 1220, 279, 547, 476, 1001, 280, 267, 538, 519, 667, 10937, 4437, 14459, 15395, 267, 972, 568, 606, 2333, 538, 476, 13679, 267, 3393, 276, 688, 630, 272, 269, 1704, 8472, 540, 519, 476, 8146, 267, 271, 6078, 269, 1724, 688, 630, 275, 269, 280, 8472, 540, 10053, 18519, 4104, 602, 729, 4503, 1063, 476, 2735, 271, 543, 476, 1220, 279, 269, 1306, 21064, 7693, 2861, 29436, 1150, 2722, 2853, 543, 19221, 2127, 616, 2810, 267, 519, 18519, 10053, 4104, 568, 2810, 24482, 269, 901, 666, 581, 6045, 676, 519, 1249, 602, 519, 2551, 616, 8026, 29436, 1150, 2722, 799, 568, 7700, 547, 519, 2333, 538, 4104, 3382, 269, 901, 17538, 602, 267, 519, 946, 540, 29436, 1150, 2722, 2853, 593, 519, 17280, 7997, 540, 6870, 1858, 666, 2709, 513, 3099, 540, 2472, 543, 2533, 602, 2743, 519, 7569, 540, 519, 2199, 5095, 269, 1452, 2640, 786, 2061, 873, 689, 1210, 2200, 689, 519, 6870, 1858, 269, 15391, 532, 568, 835, 540, 519, 2101, 2534, 799, 952, 711, 1852, 786, 1291, 547, 12159, 540, 519, 4104, 3382, 540, 713, 15395, 269, 1879, 789, 979, 547, 519, 4104, 547, 6968, 267, 519, 2759, 11710, 540, 1447, 982, 476, 736, 544, 547, 3964, 13796, 5321, 543, 891, 1762, 11710, 616, 849, 946, 547, 5965, 20637, 585, 2831, 267, 782, 713, 814, 2942, 1198, 593, 20344, 540, 891, 2371, 540, 713, 15395, 269, 7797, 676, 630, 307, 629, 826, 1696, 620, 1421, 476, 1001, 279, 264, 538, 519, 667, 10937, 15944, 4080, 602, 476, 3374, 267, 278, 2641, 11710, 941, 10032, 538, 3870, 540, 519, 4070, 540, 13796, 5321, 630, 21720, 569, 1572, 968, 322, 629, 2033, 14615, 538, 519, 4104, 543, 547, 1305, 20637, 585, 2831, 269, 15391, 532, 666, 1689, 519, 11606, 540, 9451, 24260, 11975, 543, 6079, 12165, 619, 267, 4929, 2249, 10391, 2242, 538, 6079, 29371, 543, 27327, 538, 519, 6079, 1782, 2146, 7133, 519, 12093, 540, 2371, 269, 7797, 676, 630, 310, 2431, 267, 476, 1220, 274, 264, 602, 30900, 1685, 1271, 3252, 538, 519, 14498, 540, 7733, 607, 24549, 2803, 543, 6079, 29371, 267, 8754, 519, 970, 597, 335, 566, 540, 9451, 24260, 2249, 689, 4104, 814, 6286, 585, 519, 5726, 540, 9265, 602, 979, 3564, 513, 2241, 6161, 585, 519, 2249, 2933, 269, 6215, 1662, 543, 6633, 6683, 11874, 31358, 519, 10664, 3382, 607, 782, 4054, 616, 8593, 1524, 543, 6633, 269, 901, 568, 6140, 1317, 519, 2551, 3668, 4074, 543, 519, 1797, 547, 10536, 4074, 543, 4061, 4782, 547, 1305, 3595, 593, 513, 5697, 6712, 1354, 16916, 269, 18614, 630, 2304, 3415, 1889, 267, 476, 1001, 277, 264, 2982, 602, 9341 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 1704, 15858, 5004, 11150, 602, 1058, 581, 15091, 538, 1169, 4928, 607, 3989, 676, 533, 321, 529, 3820, 563, 268, 4317, 7232, 332, 10899, 4804, 630, 306, 5085, 264, 15099, 630, 298, 268, 279, 3506, 994, 17809, 1938, 2866, 538, 5822, 5153, 543, 2882, 519, 1646, 540, 513, 1153, 17253, 1544, 593, 875, 547, 6451, 12353, 7886, 883, 519, 1153, 8430, 543, 2936, 621, 609, 535, 23474, 563, 268, 15043, 4578, 5937, 337, 1508, 9046, 14572, 30581, 454, 5938, 600, 4863, 2209, 616, 8036, 547, 1291, 3446, 7400, 6887, 538, 1210, 1239, 547, 1118, 3664, 585, 7459, 585, 1053, 4857, 607, 1373, 538, 991, 563, 268, 23247, 9751, 630, 9199, 6373, 543, 4804, 8889, 19541, 1107, 570, 10861, 296, 994, 17809, 1938, 606, 7650, 540, 519, 1764, 8194, 814, 593, 1514, 15041, 10899, 543, 5042, 1646, 563, 21206, 21541, 902, 723, 1044, 2966, 585, 3506, 602, 616, 2417, 2059, 538, 741, 6388, 540, 25553, 295, 300, 610, 723, 3606, 2866, 2053, 2139, 1282, 519, 1153, 1032, 269, 634, 16952, 21541, 902, 2333, 5234, 1620, 540, 8965, 1072, 543, 948, 3506, 13217, 1699, 1153, 17253, 2853, 543, 1020, 570, 1512, 476, 273, 543, 570, 1512, 476, 274, 7459, 269, 21541, 902, 1331, 912, 268, 23398, 19884, 8178, 906, 630, 293, 10621, 264, 543, 19884, 27800, 12697, 630, 289, 7709, 994, 17809, 1938, 513, 3593, 7888, 538, 3829, 2070, 540, 875, 547, 1020, 23398, 19884, 8178, 906, 630, 293, 10621, 264, 543, 19884, 27800, 12697, 630, 289, 7709, 1916, 268, 570, 1512, 476, 273, 543, 570, 1512, 476, 274, 3955, 6761, 454, 17809, 1938, 2866, 538, 513, 3099, 540, 2645, 602, 666, 581, 1031, 676, 1153, 2146, 2818, 547, 2232, 519, 2115, 540, 1453, 543, 10708, 8506, 2533, 693, 519, 570, 1512, 476, 273, 543, 570, 1512, 476, 274, 2157, 563, 268, 4400, 3427, 3955, 6761, 454, 17809, 1938, 2866, 538, 27764, 1229, 2157, 540, 7459, 585, 5234, 2324, 609, 1164, 1153, 1053, 269, 898, 2882, 3384, 1153, 17253, 5773, 630, 324, 3052, 1421, 623, 289, 3041, 267, 1514, 15041, 10899, 1565, 264, 543, 786, 1445, 593, 2127, 4857, 609, 645, 8379, 3008, 1239, 607, 1373, 1880, 2127, 540, 4145, 563, 268, 10076, 2657, 16890, 4721, 630, 1721, 2146, 2790, 1072, 9439, 994, 17809, 1938, 2866, 593, 2963, 2861, 543, 3070, 25700, 2259, 585, 2146, 2790, 1072, 9439, 2324, 538, 519, 1153, 563, 268, 25553, 295, 300, 1280, 14268, 454, 17809, 1938, 606, 7650, 540, 1153, 17253, 2318, 8965, 7028, 543, 7459, 563, 268, 11137, 540, 11785, 5398, 12140, 685, 19884, 2657, 13565, 24727, 543, 30332, 454, 15430, 757, 519, 8664, 779, 4507, 593, 875, 547, 4308, 609, 519, 1739, 281, 6057, 270, 10864, 937, 267, 6433, 6604, 543, 6304, 267, 11648, 267, 11980, 267, 4638, 6057, 543, 18275, 267, 9015, 4507, 585, 1053, 609, 8965, 1072, 2115, 267, 1818, 5347, 13289, 1394, 547, 1153, 1310, 30674, 270, 650, 1145, 269, 0, 12640, 6866, 519, 4365, 7140, 16830, 543, 519, 3762, 1376, 547, 2887, 267, 602, 28869, 344, 19343, 4743, 25361, 519, 2011, 269, 4706, 942, 547, 10519, 930, 17559, 9413, 543, 4232, 707, 4522, 1586, 269, 901, 1032, 29975, 3085, 1405, 723, 547, 581, 519, 1152, 3364, 3039, 593, 19343, 563, 2467, 616, 513, 1906, 1919, 596, 666, 798, 547, 8661, 19225, 3781, 609, 1447, 3653, 543, 1764, 593, 519, 3618, 563, 268, 3680, 3474, 3530, 514, 15443, 956, 281, 23875, 568, 1085, 926, 518, 982, 519, 1291, 267, 19386, 543, 13802, 1459, 538, 1612, 3530, 514, 22250, 269, 5502, 267, 946, 10987, 342, 1314, 267, 13386, 22250, 610, 31300, 1359, 8279, 547, 1118, 707, 6802, 9469, 16657, 563, 268, 2422, 1849, 1054, 645, 4711, 281, 2311, 519, 4558, 596, 3513, 1294, 5068, 11435, 585, 3214, 547, 946, 585, 741, 17711, 688, 592, 269, 21311, 11435, 616, 1500, 540, 19386, 543, 31693, 14887, 982, 513, 1990, 4861, 773, 269, 5502, 267, 946, 513, 10788, 578, 2013, 269, 1358, 2811, 6793, 543, 8273, 267, 865, 8945, 610, 8156, 666, 979, 593, 3476, 563, 268, 16179, 513, 10871, 27124, 7219, 281, 2368, 6802, 9469, 616, 25855, 1934, 689, 5245, 543, 7977, 269, 634, 6574, 22481, 568, 519, 835, 6738, 538, 707, 1378, 2146, 269, 2422, 24199, 22481, 15429, 1265, 518, 547, 1265, 513, 2199, 22481, 1332, 518, 865, 596, 917, 707, 10538, 3659, 4769, 1405, 3653, 4492, 3478, 1934, 689, 13383, 269, 1403, 596, 666, 1405, 1265, 513, 2199, 1332, 518, 267, 4444, 835, 689, 513, 16027, 781, 2344, 563, 268, 5269, 2659, 13574, 8779, 2541, 281, 17610, 267, 596, 666, 4444, 602, 10464, 5068, 28076, 609, 782, 519, 4430, 11183, 693, 27010, 267, 855, 3884, 1405, 602, 32533, 286, 1234, 12860, 2025, 9660, 267, 1118, 5346, 267, 4574, 267, 3092, 269, 547, 1118, 513, 3860, 28076, 602, 568, 13476, 7874, 269, 0, 268, 16387, 281, 763, 1101, 1433, 538, 713, 2361, 568, 21482, 573, 781, 634, 15689, 281, 5291, 2517, 325, 1513, 728, 19657, 269, 1393, 343, 553, 12975, 270, 20486, 27582, 16090, 573, 27582, 6123, 15005, 901, 1433, 267, 4534, 628, 597, 10117, 2835, 267, 8197, 282, 1631, 2808, 835, 1433, 5258, 883, 24369, 11271, 1765, 13054, 711, 1152, 519, 1655, 2272, 593, 7077, 9511, 267, 855, 849, 606, 6388, 540, 519, 20952, 633, 1505, 538, 2257, 269, 21482, 573, 781, 960, 849, 4523, 547, 581, 519, 1101, 1257, 538, 1297, 3069, 269, 16387, 24151, 519, 1034, 9565, 7936, 540, 1480, 1702, 602, 814, 24018, 938, 5075, 540, 519, 7122, 269, 6875, 513, 1413, 547, 10515, 1716, 16307, 1546, 4838, 756, 639, 11497, 1756, 1071, 601, 652, 1756, 630, 2201, 519, 4860, 30055, 540, 519, 22966, 17155, 1975, 12742, 3738, 693, 5291, 2517, 4178, 269, 19986, 1410, 3031, 1080, 3820, 270, 5632, 754, 1513, 270, 20204, 17856, 4211, 641, 1716, 16307, 11258, 4534, 21459, 540, 12166, 25481, 1107, 10472, 568, 519, 2582, 960, 540, 606, 2278, 602, 8197, 19117, 519, 2413, 1523, 540, 519, 1747, 540, 812, 538, 519, 7122, 269, 8921, 649, 723, 513, 1433, 9833, 607, 519, 1034, 1271, 960, 538, 519, 1686, 540, 2257, 2433, 13053, 781, 10988, 760, 807, 630, 763, 6310, 3741, 540, 2067, 6138, 264, 5291, 2517, 4178, 269, 4118, 338, 6745, 7251, 269, 773, 9706, 889, 270, 9303, 13043, 270, 10144, 270, 6124, 2023, 270, 32459, 760, 807, 20324, 330, 272, 306, 624, 272, 270, 13053, 538, 519, 1101, 2985, 540, 519, 2278, 781, 840, 2183, 31234, 602, 646, 786, 946, 9511, 547, 4194, 7344, 2042, 269, 4107, 5063, 267, 15751, 18160, 1101, 2985, 540, 1010, 968, 763, 7981, 7869, 540, 4039, 18356, 892, 5206, 281, 769, 707, 1153, 17058, 1034, 540, 596, 945, 1224, 713, 1433, 1500, 29872, 766, 609, 519, 15626, 2679, 540, 21482, 573, 781, 9511, 267, 543, 596, 3314, 2443, 5310, 609, 811, 2463, 982, 2648, 2443, 519, 15999, 2497, 267, 593, 519, 3138, 11998, 25047, 13826, 540, 799, 596, 941, 669, 1078, 827, 585, 4608, 870, 539, 3108, 676, 931, 2615, 1190, 3610, 269, 6423, 519, 2347, 960, 1934, 281, 5291, 2517, 4178, 3052, 9790, 6199, 3820, 11305, 5995, 270, 788, 889, 270, 4335, 272, 9706, 326, 4335, 272, 11258, 454, 292, 14852, 5128, 607, 513, 1126, 729, 1360, 24330, 585, 1079, 2101, 2621, 281, 835, 267, 950, 1010, 4651, 5795, 1864, 513, 22315, 630, 7474, 6293, 4171, 13549, 5205, 519, 6419, 18635, 540, 519, 3618, 1107, 11004, 568, 1776, 22315, 267, 519, 6293, 547, 2721, 10580, 1765, 3240, 3122, 625, 540, 4654, 5148, 543, 267, 519, 2034, 2680, 538, 18160, 781, 6689, 729, 950, 646, 4607, 513, 5299, 540, 21482, 573, 781, 15689, 563, 763, 25043, 540, 16387, 1635, 6424, 23664, 6975, 269, 23664, 6975, 729, 606, 9565, 4436, 4223, 11490, 1014, 945, 4843, 519, 476, 2537, 2042, 538, 8303, 538, 476, 5002, 271, 269, 1261, 729, 606, 12167, 585, 519, 2347, 24936, 25959, 1436, 540, 6128, 269, 28070, 779, 16387, 538, 23664, 6975, 779, 2070, 912, 268, 26344, 5852, 281, 901, 1641, 729, 2919, 5097, 676, 26194, 1105, 639, 1472, 476, 9610, 7460, 269, 25175, 945, 546, 4100, 547, 1451, 6128, 991, 547, 917, 513, 1390, 4308, 540, 29890, 269, 6423, 25272, 781, 10374, 26344, 5852, 6092, 281, 5291, 2517, 4178, 17085, 1046, 340, 12975, 270, 349, 323, 2809, 576, 14121, 3419, 13045, 268, 10789, 281, 901, 1641, 13840, 729, 1101, 20109, 676, 4144, 2684, 656, 639, 269, 1284, 1058, 6338, 1934, 513, 1257, 593, 3778, 540, 6128, 269, 4595, 4569, 568, 519, 1152, 2257, 1141, 1100, 25189, 1702, 3587, 28572, 267, 513, 3778, 540, 6128, 1683, 721, 609, 513, 2489, 5133, 540, 713, 1360, 10562, 543, 1950, 1196, 12715, 269, 1924, 649, 1376, 7223, 676, 2542, 713, 1395, 1748, 267, 4144, 2684, 656, 639, 540, 28641, 589, 7956, 543, 922, 3778, 1107, 3953, 3817, 2676, 10674, 2517, 4178, 268, 597, 2742, 269, 340, 268, 1598, 553, 321, 326, 8807, 337, 270, 349, 338, 577, 28385, 270, 10064, 577, 270, 14276, 725, 6958, 3796, 270, 13312, 2684, 15005, 543, 849, 4144, 2684, 656, 639, 540, 28641, 267, 513, 1353, 538, 519, 1686, 540, 5259, 7223, 281, 5291, 2517, 4178, 269, 1105, 633, 3820, 7933, 564, 5661, 7933, 328, 2684, 656, 639, 1993, 531, 1410, 876, 515, 7652, 320, 4144, 2684, 656, 639, 729, 519, 1101, 22301, 547, 2328, 4834, 609, 6698, 630, 29592, 543, 1310, 1864, 267, 1519, 29240, 4589, 538, 519, 3735, 1647, 6502, 267, 5206, 4834, 607, 6898, 538, 1913, 267, 5220, 8094, 268, 4746, 538, 10789, 267, 649, 1058, 1224, 25586, 781, 1576, 540, 10789, 267, 593, 519, 1357, 519, 3003, 1257, 281, 5291, 2517, 19986, 269, 3901, 12500, 5069, 28482, 16896, 14727, 12282, 2529, 836, 7773, 27160, 17526, 27651, 11258, 454, 268, 5441, 10789, 281, 5291, 2517, 339, 583, 3645, 269, 4118, 269, 4594, 541, 12975, 9706, 4206, 270, 2704, 326, 270, 2704, 326, 318, 28415, 15005, 454, 268, 11628, 10789, 267, 513, 1576, 540, 17593, 10789, 568, 2139, 693, 454, 10674, 2517, 9917, 961, 6983, 553, 30994, 325, 12975, 270, 349, 342, 743, 1046, 27582, 12661, 318, 11274, 318, 14607, 15005, 543, 5291, 2517, 4178, 269, 4118, 269, 4379, 12975, 270, 349, 3258, 21884, 8276, 270, 842, 549, 318, 531, 5040, 270, 17084, 15005, 454, 268, 589, 6092, 538, 17629, 10789, 630, 20082, 10789, 1040, 16127, 2160, 912, 268, 8890, 6776, 16387, 281, 634, 1641, 729, 2919, 676, 681, 2940, 29439, 26075, 1107, 320, 3943, 14544, 543, 22301, 945, 729, 849, 1634, 538, 5824, 607, 11412, 9850, 14295, 525, 3780, 865, 1310, 1864, 729, 3957, 519, 31951, 7077, 269, 1773, 2033, 9511, 729, 585, 519, 1101, 942, 5916, 609, 7223, 282, 589, 8799, 1257, 593, 713, 1641, 2676, 268, 20145, 269, 6969, 713, 1448, 538, 6128, 3388, 729, 11979, 269, 634, 1641, 729, 5631, 2919, 676, 2274, 30519, 714, 543, 13053, 267, 4352, 1292, 7418, 1185, 1044, 5189, 676, 674, 12938, 543, 4446, 992, 269, 20037, 1930, 1576, 267, 606, 4367, 547, 20145, 281, 5291, 2517, 665, 342, 269, 2466, 12975, 270, 637, 1545, 270, 637, 268, 1240, 268, 9826, 23343, 1529, 639, 6823, 1467, 17856, 1504, 1606, 7428, 268, 1220, 276, 270, 3667, 1504, 13045, 268, 20145, 594, 281, 5291, 2517, 339, 583, 3645, 269, 4118, 269, 4594, 541, 12975, 9706, 4206, 270, 9773, 322, 296, 270, 9773, 322, 296, 318, 28415, 15005, 454, 268, 20145, 4083, 281, 5291, 2517, 339, 583, 3645, 269, 4118, 269, 4594, 541, 12975, 9706, 4206, 270, 9773, 322, 2862, 270, 9773, 322, 2862, 318, 28415, 15005, 454, 268, 20145, 8633, 281, 5291, 2517, 339, 583, 3645, 269, 4118, 269, 4594, 541, 12975, 9706, 4206, 270, 9773, 322, 7656, 270, 9773, 322, 7656, 318, 28415, 15005, 454, 268, 7991, 20145, 281, 18724, 2006, 5441, 267, 552, 9248, 912, 268, 17266, 4756, 11810, 267, 2038, 16637, 550, 1023, 267, 538, 7300, 3898, 563, 268, 5564, 19041, 762, 11810, 267, 2038, 16637, 550, 1023, 267, 538, 7300, 3898, 563, 268, 11628, 20145, 281, 5291, 2517, 4178, 269, 4118, 269, 9618, 10542, 12975, 270, 349, 3333, 331, 27622, 7933, 665, 338, 270, 28723, 318, 15612, 639, 15005, 454, 268, 7089, 7869, 281, 713, 568, 513, 4514, 1413, 883, 25226, 269, 1488, 603, 21573, 267, 538, 5259, 267, 568, 7089, 269, 25226, 568, 513, 2186, 540, 10026, 7869, 540, 2338, 282, 2705, 267, 1152, 1310, 674, 12938, 543, 1866, 538, 519, 28465, 7366, 649, 666, 5265, 3717, 827, 7089, 3069, 269, 3371, 594, 1152, 4363, 713, 1257, 267, 1323, 4985, 547, 519, 7869, 540, 10606, 540, 717 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 808, 269, 589, 269, 1299, 7799, 267, 654, 269, 589, 269, 8426, 2861, 519, 31706, 281, 519, 1985, 30361, 540, 4915, 269, 2233, 269, 25927, 269, 2405, 269, 476, 276, 267, 476, 9692, 1186, 278, 630, 1001, 274, 1916, 292, 344, 329, 6504, 338, 323, 2714, 597, 267, 670, 269, 1696, 620, 269, 28080, 9643, 6765, 540, 8229, 2208, 3815, 547, 519, 669, 22223, 21544, 21828, 2062, 28090, 540, 12216, 779, 2068, 2550, 281, 3498, 540, 513, 2034, 22831, 20206, 4327, 1591, 7686, 601, 6116, 3926, 269, 1325, 345, 8583, 619, 1763, 269, 14562, 269, 476, 279, 267, 476, 1789, 630, 1001, 277, 1916, 303, 7163, 267, 667, 269, 700, 269, 1696, 620, 269, 932, 574, 20143, 18970, 13805, 570, 2281, 6414, 543, 16578, 13455, 1121, 3827, 538, 882, 17863, 18195, 800, 5312, 9726, 7514, 6776, 26679, 269, 2233, 269, 25927, 269, 2405, 269, 476, 278, 267, 476, 24062, 571, 16928, 630, 1001, 276, 1916, 290, 15330, 517, 267, 667, 269, 661, 1421, 645, 1662, 528, 267, 595, 269, 808, 269, 1299, 19811, 267, 808, 269, 808, 269, 589, 5618, 1686, 540, 10991, 7350, 269, 14844, 269, 4860, 269, 19287, 2723, 269, 476, 1321, 267, 476, 4343, 272, 1700, 29496, 630, 1001, 275, 1916, 294, 1601, 523, 267, 631, 269, 1299, 11370, 329, 731, 267, 670, 269, 570, 697, 1852, 540, 5444, 4082, 538, 27899, 2281, 676, 15067, 6483, 743, 710, 268, 22529, 633, 3260, 619, 269, 28540, 269, 14844, 331, 6298, 269, 2233, 269, 7330, 476, 8660, 267, 476, 4649, 275, 278, 1700, 27898, 272, 630, 1960, 273, 1916, 288, 639, 331, 7564, 837, 267, 590, 269, 1299, 674, 1380, 523, 1122, 3455, 267, 631, 269, 3245, 5444, 17176, 547, 27899, 14704, 2281, 281, 1459, 543, 2104, 16548, 269, 12367, 4437, 27370, 565, 269, 476, 4029, 267, 476, 14028, 1700, 12739, 630, 1001, 274, 1916, 298, 655, 1067, 267, 595, 269, 1696, 620, 269, 589, 14704, 3060, 25640, 536, 990, 710, 5841, 538, 20611, 676, 28284, 2389, 3419, 13499, 5305, 540, 5579, 5896, 521, 704, 916, 269, 808, 269, 6513, 269, 24793, 476, 5611, 267, 476, 2537, 1700, 3066, 630, 1001, 272, 1916, 19913, 4157, 584, 267, 700, 1421, 2983, 1359, 267, 645, 1421, 4077, 11017, 7232, 331, 8621, 686, 267, 717, 269, 1299, 674, 1380, 523, 1122, 3455, 267, 631, 269, 1955, 8690, 762, 10991, 22270, 710, 20303, 2281, 609, 6730, 3766, 622, 7954, 1521, 8097, 27728, 269, 2233, 269, 25927, 269, 2405, 269, 476, 278, 267, 476, 28760, 571, 1001, 630, 1001, 276, 1916, 10481, 1359, 267, 645, 269, 1299, 674, 1380, 523, 1122, 3455, 267, 631, 269, 16522, 4854, 6375, 1108, 281, 1110, 6819, 519, 1480, 4761, 1062, 269, 12367, 4437, 27370, 565, 269, 476, 3451, 267, 476, 4792, 1700, 8064, 630, 1001, 276, 1916, 310, 836, 267, 670, 1421, 14717, 267, 670, 1421, 2473, 773, 267, 631, 1421, 20707, 3716, 4432, 5174, 19487, 267, 631, 269, 1299, 674, 1380, 523, 1122, 3455, 267, 631, 269, 15328, 27027, 2389, 3419, 13499, 829, 12827, 10389, 6552, 1852, 540, 1098, 2102, 324, 4082, 538, 8983, 269, 715, 16197, 545, 3600, 1749, 1763, 269, 476, 6246, 267, 552, 11011, 630, 1001, 276, 1916, 10972, 12672, 16037, 267, 667, 1421, 3057, 25458, 328, 267, 700, 1421, 9093, 565, 2444, 2088, 267, 674, 269, 1299, 24558, 559, 10730, 267, 966, 269, 21023, 532, 10991, 5444, 5121, 269, 10613, 20703, 269, 22776, 269, 476, 279, 1724, 267, 476, 6872, 1700, 10037, 630, 1001, 273, 1916, 291, 514, 267, 631, 269, 744, 269, 1696, 620, 269, 14271, 11388, 1242, 9979, 540, 9190, 561, 1736, 585, 538, 24155, 6765, 269, 7186, 476, 276, 3607, 267, 476, 10037, 1700, 5952, 630, 1001, 277, 1916, 31800, 267, 670, 269, 1696, 620, 269, 14997, 864, 583, 1227, 6417, 14704, 5547, 585, 519, 2126, 540, 519, 10894, 6794, 269, 28540, 269, 14844, 331, 6298, 269, 2233, 269, 7330, 476, 8099, 267, 476, 15221, 1700, 16409, 630, 1001, 274, 1916, 289, 2967, 267, 623, 269, 1696, 620, 269, 589, 10991, 7350, 2861, 3926, 11151, 6797, 5945, 538, 8983, 269, 808, 269, 22031, 520, 565, 269, 476, 4792, 267, 476, 10019, 1700, 11463, 630, 1001, 277, 1916, 25405, 3626, 267, 570, 269, 1696, 620, 269, 5358, 30154, 22763, 585, 7020, 540, 2860, 538, 10729, 269, 2233, 269, 25927, 269, 2405, 269, 476, 278, 267, 476, 29579, 571, 10019, 630, 1001, 276, 1916, 291, 7578, 3131, 25917, 267, 631, 269, 1696, 620, 269, 2776, 325, 22460, 13389, 540, 22412, 730, 6797, 12970, 1210, 513, 21921, 5364, 20722, 334, 23938, 10194, 6152, 269, 9966, 269, 22319, 14562, 269, 476, 2918, 267, 476, 11463, 1700, 9818, 630, 1001, 276, 1916, 8649, 597, 267, 962, 269, 1696, 620, 269, 17629, 7384, 676, 5027, 1976, 9564, 11608, 538, 513, 2713, 3662, 269, 14844, 269, 15089, 1774, 577, 269, 476, 280, 267, 476, 31874, 1700, 3374, 278, 630, 1001, 275, 1916, 306, 539, 27476, 9707, 267, 674, 1421, 26566, 1122, 518, 267, 570, 1421, 23514, 531, 267, 772, 269, 1299, 674, 1380, 523, 1122, 3455, 267, 631, 269, 2372, 28262, 6709, 523, 4221, 1480, 14704, 2281, 585, 6806, 2000, 17274, 1852, 540, 28342, 14137, 553, 7098, 1872, 514, 6242, 6915, 16344, 916, 269, 30594, 32731, 269, 476, 1704, 267, 476, 27843, 274, 1700, 31746, 271, 630, 1001, 278, 1916, 313, 26907, 267, 808, 269, 670, 269, 1696, 620, 269, 5565, 9912, 8476, 2860, 6375, 8839, 609, 22041, 27187, 27193, 574, 584, 1756, 9658, 1154, 10636, 27881, 9206, 749, 514, 269, 2233, 269, 25927, 269, 2405, 269, 476, 280, 267, 552, 320, 752, 4817, 274, 278, 630, 1001, 278, 1916, 306, 1314, 6511, 267, 623, 1421, 4077, 11017, 7232, 331, 8621, 686, 267, 717, 1421, 23205, 7815, 267, 631, 1421, 2098, 2544, 9749, 7288, 267, 670, 269, 1299, 674, 1380, 523, 1122, 3455, 267, 631, 269, 16522, 4854, 5444, 3060, 19620, 1439, 18100, 30783, 1700, 628, 8557, 5955, 1852, 538, 8097, 3400, 1407, 685, 2068, 269, 28540, 269, 14844, 331, 6298, 269, 2233, 269, 7330, 476, 13647, 267, 476, 14862, 275, 1700, 14862, 280, 630, 1001, 277, 1916, 295, 1263, 267, 645, 269, 595, 1421, 589, 889, 601, 267, 667, 269, 1299, 674, 1380, 523, 1122, 3455, 267, 631, 269, 1160, 560, 4854, 5444, 5121, 607, 606, 4244, 547, 3044, 14278, 6139, 1905, 625, 585, 10894, 4713, 269, 4354, 337, 269, 25709, 269, 4437, 27370, 565, 269, 476, 3374, 267, 476, 4391, 1700, 3393, 630, 1001, 276, 1916, 305, 7238, 1087, 3455, 267, 918, 1421, 4077, 11017, 7232, 331, 6953, 600, 686, 267, 717, 269, 1299, 674, 1380, 523, 1122, 3455, 267, 631, 269, 589, 6806, 2000, 17274, 10991, 5444, 5547, 585, 519, 2126, 540, 2732, 14001, 8377, 538, 8983, 269, 14844, 269, 4004, 269, 476, 275, 267, 476, 28434, 276, 630, 1001, 274, 1916, 300, 7596, 324, 267, 590, 269, 700, 269, 1696, 620, 269, 932, 574, 20143, 18970, 13805, 570, 2281, 585, 13455, 1121, 3827, 538, 26679, 269, 715, 269, 1621, 331, 269, 808, 269, 2405, 269, 476, 4391, 272, 267, 476, 5611, 278, 1700, 14681, 278, 630, 1001, 275, 1916, 310, 340, 267, 595, 269, 962, 1421, 20858, 4472, 267, 918, 269, 570, 1421, 10658, 1013, 518, 267, 661, 269, 631, 1421, 2201, 4428, 518, 267, 808, 269, 1299, 7799, 267, 654, 269, 589, 269, 22647, 1852, 540, 9354, 570, 2281, 998, 513, 1507, 11140, 3766, 730, 16403, 20143, 13805, 269, 3163, 476, 12573, 267, 513, 629, 2412, 278, 278, 630, 1001, 276, 1916, 288, 639, 331, 7564, 837, 267, 667, 269, 1696, 620, 269, 589, 10991, 12947, 23341, 27899, 9063, 9300, 543, 2910, 273, 1098, 2102, 324, 20820, 3926, 269, 20703, 269, 8426, 476, 4649, 267, 476, 4375, 278, 1700, 2412, 279, 630, 1001, 275, 1916, 306, 29697, 267, 808, 269, 1696, 620, 269, 12829, 7483, 22306, 1904, 4094, 13443, 22041, 2281, 5512, 5033, 807, 583, 11703, 7280, 27921, 538, 15847, 8983, 269, 2233, 269, 25927, 269, 2405, 269, 476, 280, 267, 552, 320, 531, 26631, 279, 630, 1001, 278, 1916, 298, 19390, 9874, 267, 681, 1421, 589, 889, 601, 267, 667, 269, 1299, 674, 1380, 523, 1122, 3455, 267, 631, 269, 23397, 519, 3757, 8251, 8069, 585, 1985, 22831, 10531, 4915, 281, 1507, 6675, 267, 20543, 267, 543, 22041, 27899, 2281, 269, 4354, 337, 269, 25709, 269, 6314, 269, 22776, 269, 476, 2764, 267, 476, 3066, 1700, 4343, 630, 1001, 276, 1916, 288, 639, 331, 7564, 837, 267, 590, 269, 1299, 674, 1380, 523, 1122, 3455, 267, 631, 269, 7177, 5444, 11387, 585, 27899, 1591, 2861, 3156, 269, 12019, 11354, 4498, 321, 269, 6431, 1051, 269, 22776, 269, 476, 279, 267, 513, 271, 2537, 279, 4817, 630, 1001, 277, 1916, 289, 15577, 267, 808, 269, 589, 269, 1299, 27215, 580, 339, 267, 595, 269, 589, 269, 14362, 540, 4719, 5547, 1374, 269, 14844, 269, 10613, 476, 1556, 267, 476, 2004, 279, 1700, 26392, 630, 1001, 275, 1916, 288, 639, 331, 7564, 837, 267, 590, 1421, 589, 639, 331, 7564, 837, 267, 667, 269, 1299, 674, 1380, 523, 1122, 3455, 267, 631, 269, 16522, 4854, 7350, 9789, 10282, 540, 7350, 269, 1323, 613, 342, 269, 6314, 269, 2271, 269, 3798, 269, 476, 6321, 267, 476, 277, 4375, 277, 1700, 5038, 272, 280, 630, 1001, 278, 1916, 19913, 8705, 345, 267, 918, 269, 589, 269, 1299, 15182, 731, 267, 808, 269, 715, 269, 7177, 1591, 2861, 11257, 547, 8818, 7347, 569, 609, 3984, 17550, 269, 5917, 269, 10684, 5548, 643, 269, 4860, 269, 476, 10755, 267, 476, 4649, 1700, 4792, 630, 1001, 277, 1916, 313, 1173, 541, 267, 589, 1421, 9796, 928, 267, 717, 269, 674, 269, 1299, 28564, 2917, 267, 654, 269, 661, 269, 589, 2048, 6798, 641, 3174, 3694, 4580, 685, 281, 5752, 267, 7011, 1782, 267, 543, 957, 15070, 10408, 5121, 269, 4354, 337, 269, 25709, 269, 4437, 27370, 565, 269, 476, 3607, 267, 476, 15150, 1700, 8182, 630, 1001, 276, 1916, 300, 6686, 28705, 267, 631, 269, 1696, 620, 269, 23850, 1591, 931, 677, 807, 607, 32709, 3491, 13559, 30154, 12746, 3562, 1673, 580, 1388, 4780, 1562, 269, 14844, 269, 6314, 269, 22776, 269, 476, 1724, 267, 476, 29616, 1700, 22332, 630, 1001, 278, 1916, 289, 2784, 2917, 267, 681, 269, 654, 1421, 21207, 267, 631, 269, 1299, 15651, 267, 645, 269, 13088, 543, 3741, 585, 15451, 5444, 5547, 4702, 269, 808, 269, 20703, 269, 22776, 269, 476, 275, 2764, 267, 476, 279, 7830, 1700, 31229, 630, 1001, 277, 1916, 10267, 978, 267, 808, 269, 918, 269, 1299, 1325, 704, 267, 670, 269, 590, 269, 3690, 5296, 15299, 28621, 3660, 1374, 540, 10991, 3260, 619, 585, 513, 27899, 1062, 269, 589, 5425, 14271, 628, 269, 22776, 269, 476, 276, 267, 476, 13970, 276, 1700, 16409, 276, 630, 1001, 277, 1916, 290, 518, 18223, 267, 674, 1421, 1325, 3258, 267, 681, 1421, 12254, 267, 717, 269, 645, 269, 1299, 32762, 267, 570, 269, 10829, 4328, 10408, 4390, 14439, 5444, 4082, 6272, 609, 4389, 11411, 269, 14844, 269, 10613, 476, 1321, 267, 476, 25870, 1700, 275, 1240, 630, 1001, 276, 1916, 2171, 514, 6199, 267, 645, 269, 670, 269, 1696, 620, 269, 14066, 8397, 1374, 540, 7347, 4719, 11387, 609, 2789, 11378, 543, 17016, 585, 27899, 2281, 269, 14844, 269, 4437, 27370, 565, 269, 476, 3374, 267, 476, 28526, 1700, 5379, 273, 630, 1001, 278, 1916, 301, 1408, 11420, 267, 589, 269, 589, 269, 1696, 620, 269, 18726, 5547, 1374, 12957, 269, 3163, 476, 31134, 267, 513, 659, 278, 4097, 272, 630, 1001, 277, 1916, 300, 1846, 340, 24499, 267, 962, 1421, 8342, 1695, 20076, 267, 589, 1421, 13850, 9655, 267, 590, 269, 1299, 14173, 8457, 267, 670, 269, 21290, 543, 11191, 1210, 8426, 17637, 518, 269, 10613, 20703, 269, 22776, 269, 476, 14138, 275, 267, 476, 13199, 1700, 13970, 630, 1001, 275, 1916, 302, 614, 334, 5336, 32136, 267, 594, 1421, 28741, 13196, 267, 667, 269, 1299, 10854, 320, 267, 808, 269, 681, 269, 20219, 301, 289, 4696, 332, 281, 513, 1907, 585, 11938, 2861, 12747, 1374, 540, 10991, 5444, 11387, 269, 12713, 514, 26197, 476, 3953, 267, 476, 28656, 271, 1700, 28656, 273, 630, 1001, 277, 1916, 300, 2129, 13758, 328, 267, 623, 1421, 2142, 7967, 342, 1074, 601, 267, 715, 269, 1299, 5484, 21672, 267, 962, 269, 14825, 730, 1374, 540, 10991, 1591, 29976, 11387, 1210, 513, 1079, 9912, 11938, 4640, 269, 8426, 5204, 560, 269, 476, 275, 267, 476, 21709, 1700, 25908, 4318, 1691, 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 ]