Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
sequencelengths
1
2.05k
attention_mask
sequencelengths
1
2.05k
[ 31528, 17385, 16483, 15770, 16708, 15770, 32703, 19084, 630, 560, 699, 657, 1070, 2495, 834, 325, 3305, 267, 4396, 2580, 663, 17385, 24681, 14267, 11027, 394, 511, 22886, 630, 12921, 2100, 16230, 1070, 2495, 834, 1729, 1413, 267, 547, 1294, 2668, 7102, 8305, 25646, 3239, 568, 1572, 513, 8305, 6945, 269, 20323, 267, 8305, 6945, 5219, 547, 513, 6292, 540, 8305, 334, 2592, 799, 1223, 581, 9763, 1210, 513, 8305, 24005, 563, 7197, 8305, 25646, 2409, 1459, 1079, 15558, 2592, 14384, 547, 519, 2451, 543, 1318, 3750, 540, 519, 21951, 269, 1452, 1079, 8820, 2592, 616, 1287, 5916, 538, 519, 2634, 547, 2285, 519, 8226, 540, 476, 274, 291, 3178, 269, 901, 4480, 568, 13747, 689, 476, 274, 291, 10525, 602, 4159, 606, 3239, 538, 1614, 2407, 7516, 267, 3850, 519, 20626, 547, 2333, 1344, 827, 519, 476, 274, 8820, 3615, 1373, 10268, 676, 2212, 543, 3750, 5322, 563, 1805, 699, 22000, 5932, 519, 21903, 540, 1614, 8820, 3178, 689, 2016, 1079, 8820, 2592, 269, 5274, 5075, 267, 1519, 519, 8226, 540, 3178, 267, 568, 513, 1950, 1184, 799, 1152, 5956, 609, 519, 11601, 540, 3308, 1344, 3144, 538, 998, 519, 4064, 282, 1454, 4393, 1671, 1132, 1369, 519, 2634, 267, 607, 621, 1193, 1161, 547, 1118, 10995, 543, 6209, 2631, 540, 519, 6151, 1344, 3177, 269, 2290, 540, 519, 1360, 1271, 3308, 3252, 602, 2049, 1369, 519, 2634, 607, 621, 3705, 1206, 1018, 519, 4064, 1294, 568, 602, 540, 12570, 519, 3448, 9883, 540, 1585, 3615, 689, 519, 21951, 267, 543, 519, 3178, 10155, 540, 1346, 1482, 9228, 3615, 269, 634, 2634, 2306, 946, 540, 513, 1297, 540, 10291, 547, 3313, 3448, 9883, 543, 3178, 538, 513, 9228, 6429, 267, 1519, 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 ]
[ 513, 1454, 12863, 543, 5488, 1505, 585, 5958, 908, 16674, 2839, 16776, 543, 16600, 268, 869, 1942, 1957, 2861, 16674, 4395, 268, 1742, 543, 32110, 269, 29896, 543, 8097, 2164, 13182, 519, 4162, 540, 1957, 14041, 543, 519, 2773, 540, 519, 16674, 2839, 11090, 269, 0, 3412, 1645, 15190, 668, 4479, 593, 631, 836, 17311, 15661, 22384, 543, 29570, 538, 17111, 454, 297, 639, 4752, 267, 21919, 541, 15120, 16120, 543, 594, 3630, 29538, 267, 918, 553, 1177, 8643, 630, 1220, 278, 264, 24919, 15190, 668, 4479, 593, 631, 836, 17311, 15661, 22384, 543, 29570, 538, 17111, 269, 654, 10345, 3008, 3690, 13905, 593, 10334, 543, 29119, 14037, 710, 267, 476, 275, 630, 279, 1040, 6032, 269, 476, 14093, 268, 14695, 269, 31192, 476, 8099, 280, 268, 4817, 272, 279, 454, 17359, 1257, 711, 2139, 689, 713, 23789, 563, 302, 24810, 15745, 281, 5291, 2517, 4178, 9884, 572, 553, 30994, 27160, 2000, 3869, 270, 10520, 13905, 11486, 5735, 2483, 1607, 1353, 729, 5342, 538, 15480, 7195, 328, 267, 22398, 656, 534, 543, 5590, 24926, 267, 570, 699, 978, 1146, 340, 267, 17111, 609, 519, 6859, 547, 3313, 519, 19706, 3601, 543, 547, 2697, 519, 1713, 15423, 538, 5806, 3215, 2947, 22600, 17311, 2249, 693, 1114, 6753, 269, 634, 2947, 22600, 17311, 2249, 5697, 941, 10910, 714, 641, 1817, 320, 3284, 10306, 1092, 267, 645, 2607, 24926, 5028, 14928, 878, 320, 267, 2997, 545, 3317, 807, 620, 9346, 1070, 4173, 527, 1512, 320, 1396, 339, 7394, 529, 264, 543, 670, 756, 29234, 21266, 807, 576, 639, 907, 769, 519, 14033, 5606, 571, 4414, 630, 301, 7644, 264, 3148, 267, 519, 1611, 19706, 2992, 766, 540, 2947, 22600, 17311, 2249, 693, 15480, 7195, 328, 4951, 602, 519, 5207, 2992, 766, 729, 6592, 676, 681, 269, 3284, 10306, 1092, 609, 476, 10019, 260, 543, 519, 9803, 729, 6592, 676, 589, 269, 620, 9346, 609, 476, 7597, 260, 19706, 2992, 766, 267, 6606, 269, 11531, 693, 5590, 24926, 267, 519, 5207, 2992, 766, 729, 6719, 676, 670, 269, 1396, 339, 7394, 529, 609, 476, 10037, 260, 543, 519, 9803, 729, 645, 269, 14928, 878, 320, 609, 476, 10463, 10065, 15190, 1537, 2992, 766, 540, 2947, 5697, 22600, 17311, 2249, 941, 19250, 7318, 1210, 28138, 1900, 3772, 5806, 5364, 2079, 540, 590, 31723, 1982, 269, 17823, 10117, 20966, 941, 3812, 538, 5806, 3215, 1851, 2947, 5697, 22600, 17311, 2249, 693, 1312, 6753, 269, 9906, 512, 23150, 4951, 602, 972, 941, 1100, 1713, 3604, 1063, 19706, 2992, 766, 540, 22600, 17311, 2249, 693, 15480, 7195, 328, 543, 5590, 24926, 630, 303, 284, 271, 269, 24833, 267, 623, 284, 271, 269, 278, 4281, 267, 623, 284, 271, 269, 4037, 274, 543, 623, 284, 476, 271, 269, 276, 1724, 3152, 982, 476, 271, 269, 4962, 1040, 1452, 19706, 22782, 941, 849, 6766, 676, 1896, 2188, 971, 607, 6531, 3382, 2242, 267, 11626, 2783, 267, 6978, 4835, 2497, 543, 28060, 1543, 269, 901, 1353, 4061, 10522, 602, 1367, 22600, 17311, 2249, 723, 513, 2189, 19706, 2992, 766, 543, 666, 581, 3362, 4857, 543, 25528, 609, 513, 7522, 733, 27631, 15423, 13164, 538, 519, 715, 7644, 3148, 563, 347, 7659, 5320, 10573, 300, 836, 17311, 267, 15190, 1537, 267, 14484, 766, 267, 15190, 2928, 14508, 10309, 267, 20613, 767, 2654, 267, 5153, 3772, 2079, 267, 14523, 619, 1051, 1537, 2008, 26180, 659, 8372, 610, 4659, 10573, 293, 659, 8372, 540, 32645, 2008, 347, 12831, 657, 1243, 1635, 10573, 301, 528, 327, 1794, 3120, 8621, 345, 1695, 2008, 347, 12831, 657, 1243, 2201, 10573, 1240, 4119, 476, 1001, 271, 476, 6860, 281, 7367, 2008, 347, 8310, 3525, 1881, 10573, 1240, 4119, 476, 1001, 271, 476, 6860, 281, 4649, 2008, 11847, 12141, 16065, 8307, 281, 22478, 6221, 1469, 454, 291, 17805, 8281, 10803, 454, 1607, 6221, 814, 1044, 22434, 585, 2094, 476, 1240, 4119, 476, 1001, 271, 476, 6860, 281, 7367, 269, 0, 303, 1066, 7614, 22452, 547, 3525, 4733, 25530, 654, 832, 839, 595, 10744, 538, 3979, 4892, 454, 290, 4321, 22907, 689, 27514, 4568, 4598, 723, 1044, 1134, 13006, 538, 1453, 609, 19341, 4568, 6794, 269, 12824, 538, 713, 1353, 12290, 2436, 971, 22907, 1223, 1267, 689, 9793, 4598, 543, 6414, 2429, 6689, 269, 6468, 941, 26906, 1282, 741, 6379, 543, 2663, 12290, 267, 2059, 609, 741, 1453, 267, 693, 1585, 11996, 585, 476, 1015, 1296, 630, 333, 284, 277, 3607, 3993, 30512, 8424, 1040, 15465, 2702, 729, 6027, 609, 519, 18628, 5174, 6839, 11106, 4530, 267, 543, 9382, 941, 14661, 585, 4143, 27514, 267, 26447, 267, 543, 2825, 4632, 563, 268, 4438, 519, 1101, 959, 30478, 267, 476, 7830, 260, 540, 3979, 1977, 543, 476, 6924, 260, 540, 3043, 2021, 1743, 1678, 269, 4107, 4235, 619, 10057, 2999, 272, 4235, 829, 1554, 267, 1498, 476, 4391, 260, 540, 3979, 1977, 543, 476, 3583, 260, 540, 3043, 2021, 945, 1743, 1678, 1185, 513, 5230, 6704, 12558, 269, 20330, 268, 25530, 8519, 1282, 6379, 630, 324, 3052, 1421, 476, 280, 260, 540, 3979, 1977, 543, 476, 1556, 260, 540, 3043, 4235, 619, 1185, 513, 5230, 6704, 12558, 538, 519, 2034, 959, 30478, 1916, 268, 674, 13926, 4568, 4598, 1282, 519, 1101, 543, 2034, 959, 1307, 1562, 3648, 10567, 5042, 22907, 538, 2110, 3856, 3965, 543, 11913, 267, 3308, 267, 543, 11050, 7744, 538, 3979, 1977, 267, 855, 711, 3043, 267, 1453, 693, 2085, 476, 1015, 563, 268, 22452, 1282, 519, 3791, 959, 30478, 1705, 711, 3648, 1860, 5042, 2702, 563, 4322, 4681, 5815, 513, 1713, 2078, 1063, 27514, 4568, 4598, 630, 10090, 958, 547, 9793, 5666, 264, 543, 5042, 2702, 693, 2085, 476, 1015, 1851, 3979, 1977, 267, 855, 711, 3043, 267, 15556, 269, 901, 1353, 1281, 711, 267, 2705, 267, 2303, 602, 6704, 1282, 6379, 568, 2922, 585, 3043, 2021, 269, 4284, 5974, 1058, 8480, 2503, 656, 11299, 267, 3226, 3979, 4892, 267, 827, 519, 4220, 540, 1022, 4568, 946, 1282, 6379, 12282, 24944, 1230, 580, 2993, 16619, 267, 11022, 267, 12463, 295, 454, 265, 7804, 1678, 13843, 275, 10425, 593, 606, 8317, 454, 12663, 5112, 29273, 267, 2274, 3663, 20793, 267, 4303, 715, 299, 269, 3525, 4733, 27514, 4568, 4598, 543, 5042, 4567, 540, 1453, 693, 2085, 476, 1015, 269, 15850, 7885, 5890, 1763, 269, 476, 1220, 277, 282, 1789, 263, 277, 2567, 10755, 272, 1700, 10755, 280, 269, 0, 26177, 306, 281, 476, 2537, 623, 8980, 2464, 281, 476, 1704, 18161, 4306, 3633, 10396, 281, 476, 273, 270, 273, 270, 1001, 271, 454, 26536, 531, 3026, 517, 7614, 24651, 30587, 13677, 23840, 4989, 476, 1220, 272, 476, 272, 269, 4985, 476, 272, 269, 272, 32719, 550, 22787, 6217, 15717, 630, 303, 6224, 296, 264, 568, 513, 2783, 7133, 827, 476, 272, 269, 272, 829, 8536, 2661, 24570, 269, 2201, 519, 4493, 540, 930, 476, 6872, 267, 1822, 2661, 24570, 829, 3045, 636, 267, 835, 949, 18783, 930, 476, 2568, 268, 4792, 1007, 2665, 540, 623, 6224, 296, 829, 3045, 636, 538, 10430, 269, 898, 568, 811, 1455, 982, 824, 2175, 22991, 29971, 585, 693, 4332, 971, 607, 22787, 30847, 630, 272, 538, 476, 1839, 267, 1822, 264, 543, 26263, 2643, 8208, 517, 22202, 630, 272, 538, 476, 1691, 267, 1822, 1040, 17629, 30564, 6217, 9584, 630, 7419, 9391, 264, 568, 811, 1072, 15807, 538, 519, 7020, 540, 6217, 15717, 538, 1453, 982, 1459, 9584, 2409, 267, 519, 10867, 30411, 1449, 630, 2839, 307, 264, 543, 6098, 30564, 6217, 9584, 269, 15845, 2861, 1072, 2029, 4879, 814, 7152, 598, 13254, 602, 519, 7020, 543, 2126, 540, 8628, 22787, 6217, 15717, 630, 303, 6224, 296, 264, 1354, 476, 277, 3275, 540, 2085, 2164, 538, 15186, 3152, 4633, 11601, 609, 3702, 550, 2640, 602, 616, 2693, 547, 581, 1272, 17489, 538, 8653, 543, 1331, 1514, 543, 5626, 1134, 5630, 267, 3872, 9740, 543, 7694, 16548, 269, 6167, 9391, 3091, 7020, 540, 623, 6224, 296, 693, 610, 16172, 1310, 4332, 609, 513, 3152, 4110, 540, 6111, 543, 1264, 28467, 540, 2551, 3795, 982, 1459, 9584, 2409, 543, 693, 606, 2949, 1942, 829, 2013, 540, 623, 6224, 296, 9571, 1447, 267, 610, 693, 10782, 3160, 547, 1459, 7616, 2157, 269, 17461, 476, 272, 269, 273, 769, 5412, 476, 1960, 280, 519, 5753, 779, 4427, 8566, 4981, 540, 519, 2817, 30587, 9730, 630, 10064, 290, 264, 5227, 519, 4367, 540, 6167, 9391, 269, 4014, 519, 16252, 729, 1759, 593, 7347, 2963, 689, 3486, 543, 5177, 2090, 267, 519, 715, 17092, 18931, 602, 972, 941, 2152, 543, 4145, 4478, 519, 23250, 543, 2359, 540, 519, 3028, 799, 5789, 1243, 3408, 998, 7796, 7627, 269, 476, 272, 269, 274, 769, 5147, 476, 1220, 271, 519, 4972, 540, 2657, 9307, 922, 9837, 547, 12681, 17629, 3026, 517, 7614, 24651, 630, 7419, 9391, 264, 547, 5372, 519, 23862, 5940, 3555, 4530, 630, 2839, 307, 1040, 2311, 713, 942, 267, 519, 13677, 15445, 2657, 4972, 4280, 2817, 7896, 10406, 630, 10064, 291, 264, 547, 2932, 513, 2689, 540, 519, 4199, 6286, 2404, 609, 7598, 971, 513, 10872, 538, 10430, 543, 3681, 585, 922, 4367, 269, 16930, 2152, 547, 581, 3144, 883, 2272, 941, 547, 1331, 281, 519, 1164, 1297, 540, 3355, 7301, 2318, 4255, 17191, 715, 16256, 27582, 1428, 270, 275, 270, 277, 315, 29806, 27751, 5025, 1440, 559, 1220, 272, 476, 272, 519, 10872, 779, 2702, 547, 11883, 609, 2038, 11166, 540, 9002, 689, 6413, 519, 3668, 540, 3084, 15418, 7355, 267, 2298, 4441, 267, 2773, 2359, 543, 5464, 7355, 269, 519, 2702, 540, 519, 17328, 8824, 2912, 5735, 3028, 543, 18555, 7855, 547, 11883, 609, 519, 3028, 6286, 269, 13979, 547, 17130, 476, 272, 269, 275, 634, 6481, 10615, 543, 519, 16711, 543, 10866, 5917, 16014, 540, 715, 16256, 723, 17298, 519, 2689, 609, 6351, 689, 519, 9584, 2319, 693, 715, 16256, 543, 6481, 12079, 619, 693, 10323, 8461, 269, 1284, 723, 8179, 547, 3313, 4540, 2259, 538, 10430, 543, 519, 2200, 602, 616, 2139, 693, 1459, 609, 513, 2070, 547, 6236, 1018, 3606, 2200, 786, 581, 2877, 585, 6167, 9391, 547, 581, 6707, 8045, 538, 10430, 269, 476, 272, 269, 276, 6250, 1080, 723, 1044, 1500, 547, 1896, 2912, 5735, 13623, 1472, 10430, 547, 5531, 1344, 593, 1699, 2259, 543, 547, 15378, 3318, 6644, 269, 589, 18102, 729, 2366, 547, 6034, 832, 540, 5398, 2657, 543, 23652, 547, 8189, 619, 540, 4132, 2657, 7896, 538, 2657, 4425, 1841, 543, 6481, 6034, 832, 540, 11565, 338, 693, 519, 1439, 540, 5130, 476, 1220, 272, 269, 634, 1344, 5833, 689, 6114, 814, 1044, 540, 6351, 538, 519, 2689, 1184, 543, 568, 9034, 2213, 538, 3296, 476, 275, 269, 476, 272, 269, 277, 3245, 891, 679, 24751, 621, 2968, 7805, 602, 519, 6574, 4145, 3823, 519, 1764, 540, 6167, 9391, 6388, 267, 538, 2474, 540, 2200, 267, 941, 711, 538, 6935, 547, 519, 9584, 1184, 3294, 855, 547, 519, 1761, 11411, 593, 3318, 2912, 5735, 5234, 945, 1131, 581, 7487, 1453, 693, 606, 4505, 2085, 543, 267, 5310, 267, 538, 3152, 2338, 982, 693, 1459, 269, 1703, 729, 6161, 602, 713, 1223, 723, 6286, 585, 519, 2338, 267, 19684, 267, 12802, 543, 2866, 540, 519, 3318, 2516, 7255, 630, 16728, 5505, 543, 2912, 8344, 3744, 1040, 1280, 713, 2601, 267, 621, 729, 2808, 2556, 547, 2263, 609, 7426, 540, 2362, 2069, 267, 10430, 779, 3450, 543, 2866, 12588, 538, 891, 2127, 269, 476, 273, 269, 7351, 23063, 6672, 538, 4789, 476, 273, 269, 272, 769, 10903, 725, 941, 9783, 547, 2657, 8191, 885, 538, 5239, 476, 1220, 271, 547, 4019, 547, 1831, 513, 12681, 3135, 269, 589, 5542, 8470, 609, 2818, 6074, 689, 3318, 543, 17319, 4703, 729, 3964, 543, 5697, 476, 736, 4609, 547, 7119, 538, 519, 12681, 269, 898, 568, 513, 10421, 602, 12681, 4609, 946, 519, 522, 1729, 268, 17974, 12998, 630, 302, 20067, 264, 1449, 607, 519, 3119, 9584, 1449, 269, 476, 273, 269, 273, 634, 476, 736, 4609, 5697, 1058, 6488, 513, 3444, 3296, 538, 2474, 540, 22097, 543, 1459, 2990, 609, 2543, 547, 6217, 9584, 269, 634, 21804, 786, 30134, 538, 2185, 5933, 269, 634, 1101, 3942, 568, 16516, 547, 2253, 538, 4989, 476, 1220, 272, 267, 609, 519, 824, 16649, 2176, 4947, 593, 6908, 538, 5147, 267, 5181, 543, 5437, 713, 1032, 269, 715, 16256, 27582, 1428, 270, 275, 270, 277, 315, 29806, 27751, 5025, 1440, 559, 1220, 272, 476, 273, 476, 273, 269, 274, 6239, 7616, 568, 2139, 585, 3937, 267, 1344, 2029, 267, 2866, 543, 1788, 2359, 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 ]
[ 6795, 19655, 267, 1884, 11618, 267, 18986, 11703, 7215, 267, 543, 1644, 1913, 585, 18700, 267, 899, 281, 1085, 9776, 267, 24293, 267, 2019, 1393, 267, 21484, 6134, 267, 17279, 267, 627, 528, 1194, 267, 17684, 11057, 267, 4931, 14179, 3176, 267, 4043, 18115, 541, 267, 10138, 543, 31882, 548, 622, 563, 1432, 568, 519, 18700, 538, 2470, 1572, 888, 12385, 11490, 2103, 723, 4121, 547, 946, 25828, 779, 5311, 547, 4766, 1978, 5546, 602, 2408, 538, 2470, 269, 1452, 5546, 616, 1572, 32568, 3303, 1023, 267, 543, 715, 2246, 559, 639, 16115, 616, 1175, 835, 1383, 269, 1411, 849, 1294, 32568, 18700, 5546, 538, 18700, 15270, 267, 543, 538, 1082, 2371, 971, 607, 3141, 25154, 563, 3963, 568, 25828, 538, 2470, 888, 1103, 2470, 519, 2208, 543, 1582, 3146, 2908, 531, 540, 1591, 5095, 5012, 547, 1024, 268, 2144, 566, 540, 21712, 3270, 538, 8031, 602, 18613, 519, 4806, 540, 2551, 2208, 538, 17544, 267, 799, 568, 6045, 676, 519, 5929, 25828, 5311, 563, 3963, 798, 3303, 1023, 2049, 538, 2470, 888, 763, 2110, 2626, 568, 267, 8909, 569, 267, 649, 1810, 1406, 2731, 917, 269, 7186, 1281, 3100, 547, 723, 3833, 519, 25505, 585, 3303, 1023, 267, 1498, 269, 769, 24377, 543, 15270, 267, 519, 1560, 10047, 838, 1177, 985, 18700, 5546, 281, 1879, 519, 4099, 7140, 5488, 982, 519, 13020, 344, 267, 6329, 1369, 891, 9259, 1205, 838, 684, 1472, 883, 3303, 1023, 563, 1692, 568, 519, 11344, 18700, 4646, 888, 288, 2757, 13642, 9454, 531, 568, 4646, 676, 519, 21224, 540, 13642, 25351, 9201, 609, 513, 13642, 25351, 4120, 269, 2560, 634, 11344, 18700, 568, 1287, 9112, 676, 2870, 606, 9095, 602, 18953, 519, 2798, 693, 799, 1142, 540, 891, 11344, 25965, 616, 5258, 883, 513, 4009, 543, 513, 4130, 11344, 13551, 563, 1432, 568, 519, 5289, 2495, 540, 513, 18700, 888, 306, 2869, 527, 1302, 519, 18700, 4564, 513, 14479, 609, 519, 10143, 267, 3303, 2718, 689, 519, 9018, 24178, 630, 1492, 3544, 1158, 264, 883, 519, 6418, 9997, 630, 6523, 6193, 4656, 543, 21481, 1040, 634, 18700, 4564, 4720, 543, 2208, 540, 519, 6891, 269, 898, 568, 513, 3090, 540, 1689, 543, 1646, 563, 1432, 1281, 519, 2262, 18700, 1611, 888, 272, 320, 2433, 519, 2619, 540, 513, 1448, 538, 513, 7077, 3001, 1472, 513, 3844, 1448, 1247, 11179, 973, 5338, 689, 610, 16042, 621, 269, 536, 2433, 513, 1614, 8820, 7455, 630, 7945, 607, 513, 927, 1460, 264, 609, 835, 610, 811, 7140, 827, 606, 7852, 269, 476, 273, 2433, 513, 2582, 2490, 610, 16509, 538, 513, 18700, 1843, 269, 476, 274, 2433, 1945, 2348, 513, 18700, 1106, 607, 281, 513, 2433, 18700, 14925, 563, 1432, 568, 25828, 2470, 888, 5194, 2241, 1383, 538, 799, 621, 568, 2009, 547, 1265, 519, 25828, 5311, 538, 2470, 568, 2016, 676, 519, 1297, 540, 24968, 540, 5810, 269, 4107, 723, 1614, 630, 3697, 561, 25788, 543, 3352, 2478, 1070, 2947, 630, 1706, 333, 817, 807, 267, 9782, 25637, 264, 610, 5216, 630, 6523, 1889, 320, 1070, 476, 1724, 630, 16341, 546, 9820, 625, 1070, 476, 2641, 630, 577, 545, 800, 1070, 476, 4097, 267, 476, 4649, 610, 476, 8660, 630, 2120, 19687, 1916, 8489, 666, 519, 25828, 18700, 581, 1336, 538, 519, 1483, 1158, 888, 293, 756, 20906, 666, 581, 1336, 538, 2470, 711, 1152, 538, 519, 4583, 15529, 4603, 267, 855, 849, 538, 4190, 5810, 630, 25542, 1569, 267, 476, 1321, 1040, 2201, 519, 2212, 540, 513, 30011, 543, 519, 5452, 616, 14095, 538, 513, 1978, 1259, 865, 602, 789, 1246, 519, 4806, 540, 519, 25828, 5311, 563, 3674, 476, 279, 513, 25828, 1297, 888, 763, 25828, 25627, 568, 519, 3126, 540, 2338, 281, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 476, 1724, 267, 476, 2641, 267, 476, 4097, 267, 6693, 1432, 568, 519, 4214, 540, 513, 18700, 14925, 888, 306, 2869, 531, 15270, 616, 27390, 10070, 540, 6801, 543, 3154, 602, 1419, 723, 4190, 5546, 543, 616, 1500, 909, 540, 3905, 1762, 6801, 269, 4107, 540, 519, 15270, 602, 3744, 723, 4362, 865, 2484, 616, 18700, 15270, 267, 607, 10353, 547, 519, 824, 1079, 1292, 6688, 540, 14925, 5546, 2443, 14248, 18967, 673, 543, 12150, 563, 1432, 568, 519, 11344, 18700, 538, 2470, 888, 763, 11344, 5223, 568, 827, 476, 272, 269, 277, 1240, 267, 543, 6719, 676, 519, 5259, 4484, 943, 328, 267, 3852, 355, 269, 2560, 634, 11344, 5223, 568, 3006, 1572, 519, 968, 15965, 710, 8167, 2223, 1317, 540, 922, 4908, 538, 519, 2067, 1158, 269, 634, 1297, 540, 24968, 593, 513, 8768, 267, 585, 3236, 267, 786, 1419, 581, 513, 25828, 1297, 563, 3674, 519, 25828, 18700, 513, 5762, 531, 888, 763, 25828, 9454, 531, 267, 799, 568, 1250, 1883, 12716, 1445, 540, 713, 1788, 267, 568, 513, 2241, 32568, 18700, 1759, 2390, 25828, 2338, 267, 543, 519, 11344, 5223, 267, 3852, 355, 269, 5221, 713, 18700, 568, 32568, 267, 519, 7455, 5526, 519, 1482, 693, 1169, 4336, 267, 543, 666, 3976, 581, 2808, 5762, 531, 563, 6701, 782, 3303, 1023, 25828, 888, 293, 756, 20906, 3303, 1023, 543, 13642, 3303, 1023, 2408, 538, 2470, 267, 855, 711, 1169, 18700, 538, 2470, 568, 1644, 547, 25828, 2338, 610, 1912, 328, 269, 4107, 3303, 1023, 538, 2470, 616, 1226, 328, 9771, 3303, 1023, 267, 543, 25828, 543, 13642, 3303, 1023, 616, 2027, 2665, 540, 519, 6626, 1362, 540, 4982, 328, 9771, 3303, 1023, 563, 1432, 1281, 25828, 2338, 1611, 888, 763, 25828, 5311, 568, 513, 1305, 540, 2338, 602, 6238, 609, 513, 835, 610, 513, 4642, 267, 4553, 676, 513, 835, 267, 543, 23131, 1759, 593, 519, 4341, 602, 1142, 1297, 630, 21406, 513, 25828, 1297, 264, 568, 3160, 547, 519, 2040, 540, 519, 18631, 1079, 2338, 269, 2560, 674, 630, 271, 264, 815, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 476, 1724, 267, 476, 2641, 267, 476, 4097, 6693, 1432, 1281, 519, 25828, 18700, 1611, 888, 763, 25828, 9454, 531, 1656, 634, 13642, 22472, 3962, 540, 519, 10945, 14550, 519, 1858, 540, 519, 1985, 1297, 538, 519, 5311, 269, 2560, 634, 3677, 519, 2338, 538, 519, 25828, 5311, 267, 519, 6251, 519, 5223, 568, 547, 519, 11344, 5223, 269, 634, 18700, 543, 4611, 13551, 616, 849, 1634, 607, 519, 13642, 25351, 4120, 4586, 1432, 568, 519, 25828, 18700, 1031, 585, 888, 293, 756, 20906, 1427, 15869, 906, 616, 519, 1034, 1455, 1106, 540, 2930, 2079, 1759, 593, 519, 25828, 5311, 269, 4438, 513, 7678, 267, 25828, 1427, 15869, 906, 666, 581, 1031, 547, 3313, 875, 2620, 513, 7485, 3724, 1223, 581, 269, 6764, 592, 572, 6329, 616, 519, 3677, 6329, 538, 519, 7678, 532, 4287, 267, 1247, 7485, 10587, 616, 519, 4130, 6329, 538, 1063, 269, 0, 290, 9051, 2732, 568, 835, 540, 519, 2010, 540, 3114, 2732, 602, 8309, 547, 2597, 2530, 267, 609, 17811, 19231, 267, 855, 621, 814, 2942, 3441, 547, 519, 1072, 540, 519, 1560, 267, 799, 5673, 593, 4189, 10412, 11084, 865, 8898, 538, 10433, 610, 23238, 547, 1118, 596, 1745, 2407, 267, 1247, 28142, 8477, 693, 519, 1482, 942, 547, 2226, 29358, 1560, 2597, 610, 547, 6336, 2597, 267, 2687, 547, 1018, 729, 3370, 593, 519, 3135, 2657, 1467, 563, 763, 2732, 12346, 593, 1019, 6137, 10412, 11084, 538, 10433, 610, 23238, 543, 4189, 873, 2394, 789, 2285, 596, 513, 4743, 540, 2893, 328, 1214, 267, 543, 1004, 538, 713, 2732, 3548, 10412, 2429, 519, 1554, 267, 543, 930, 8532, 891, 10412, 21181, 1354, 519, 7594, 267, 865, 602, 789, 666, 3548, 1447, 267, 607, 2043, 666, 15179, 909, 547, 2947, 645, 8712, 1019, 5529, 538, 10433, 538, 835, 9361, 1354, 789, 616, 4625, 2407, 563, 763, 8594, 540, 713, 1826, 540, 2732, 568, 602, 621, 2164, 538, 606, 4189, 4524, 267, 607, 513, 1267, 540, 891, 1004, 1236, 6235, 6980, 267, 799, 2164, 538, 2530, 540, 14031, 267, 543, 789, 666, 1020, 513, 9190, 3968, 607, 513, 1267, 540, 4189, 1875, 32103, 3688, 971, 607, 10412, 267, 1957, 267, 12853, 543, 4672, 563, 2005, 849, 13514, 513, 1981, 547, 519, 9667, 1062, 267, 607, 707, 9667, 1062, 6238, 689, 707, 5023, 543, 5205, 513, 2619, 602, 2882, 519, 24647, 267, 7181, 267, 1507, 543, 1804, 24026, 267, 865, 10412, 11084, 666, 3362, 3625, 519, 9667, 1062, 267, 865, 596, 949, 991, 6391, 547, 4894, 519, 31797, 538, 519, 9667, 1062, 1354, 621, 568, 6534, 547, 28230, 267, 543, 949, 1267, 689, 29158, 11084, 849, 1781, 651, 563, 763, 1867, 29808, 1996, 4189, 10412, 11084, 267, 799, 949, 2270, 5739, 6464, 267, 1317, 789, 616, 6926, 3737, 4874, 6856, 3079, 540, 2067, 10412, 267, 543, 607, 513, 1267, 267, 891, 13802, 666, 18645, 936, 942, 543, 1831, 5739, 10756, 32546, 849, 19230, 1996, 4189, 10412, 11084, 865, 8898, 538, 519, 10433, 267, 607, 621, 666, 1291, 547, 22926, 267, 4617, 7633, 267, 9854, 543, 666, 798, 1713, 3441, 547, 707, 2790, 1072, 971, 607, 4965, 543, 4160, 269, 0, 20597, 760, 547, 1543, 454, 23005, 29794, 630, 1432, 779, 634, 10318, 10719, 6478, 4147, 286, 994, 288, 1999, 10719, 568, 513, 22212, 2262, 602, 11887, 875, 513, 10902, 610, 10902, 1895, 568, 5219, 547, 563, 23005, 29794, 616, 1031, 538, 519, 5250, 540, 10902, 2453, 630, 29825, 2453, 616, 2453, 602, 19016, 1227, 1599, 607, 17205, 1369, 5220, 1916, 6624, 1913, 666, 581, 1031, 607, 1312, 15002, 619, 543, 21770, 630, 324, 3052, 1421, 968, 1607, 1433, 892, 1315, 968, 1607, 568, 3579, 1848, 994, 23005, 29794, 666, 581, 1031, 538, 1978, 10659, 267, 971, 607, 782, 519, 1158, 563, 14300, 540, 10318, 29794, 912, 268, 21676, 921, 540, 0, 763, 2164, 540, 5245, 781, 476, 1001, 277, 14829, 723, 1044, 5950, 267, 543, 789, 5862, 513, 2312, 4605, 540, 513, 2197, 538, 519, 22984, 540, 1689, 563, 2080, 616, 2947, 1491, 25498, 630, 2467, 786, 581, 513, 7688, 693, 519, 1439, 256, 2187, 272, 269, 898, 781, 4742, 811, 7489, 543, 1447, 3864, 454, 17457, 5245, 814, 1044, 3710, 593, 11776, 267, 543, 519, 5767, 14829, 25495, 713, 267, 4466, 602, 3592, 3368, 630, 5392, 8472, 540, 782, 26880, 941, 4535, 18246, 610, 1185, 693, 2547, 835, 2385, 4535, 13383, 563, 3719, 7864, 540, 1346, 21945, 538, 5245, 616, 4947, 689, 2342, 910, 2899, 519, 8789, 2707, 540, 20404, 585, 513, 2197, 602, 11658, 11776, 2394, 519, 476, 3192, 271, 338, 896, 519, 834, 19669, 5245, 257, 3609, 563, 763, 476, 1001, 277, 14829, 1336, 602, 476, 2412, 260, 540, 519, 18246, 23899, 2551, 941, 4535, 538, 5607, 267, 16287, 519, 1101, 942, 811, 1004, 723, 2097, 689, 972, 982, 2342, 563, 1103, 476, 1220, 272, 267, 1175, 476, 2190, 260, 540, 1346, 4535, 18246, 3357, 689, 5607, 563, 1103, 6476, 267, 519, 8167, 4535, 538, 2342, 8519, 689, 476, 7367, 260, 538, 476, 1220, 272, 547, 476, 4097, 260, 538, 476, 1001, 277, 563, 4407, 519, 1297, 835, 1747, 540, 5169, 585, 4914, 23899, 20404, 568, 1869, 4789, 267, 693, 476, 1428, 9077, 20404, 689, 3624, 630, 279, 269, 274, 8472, 543, 3127, 630, 278, 269, 275, 8472, 723, 1044, 21945, 538, 3152, 2338, 538, 2487, 1296, 563, 1103, 2698, 267, 20404, 4535, 538, 3624, 267, 3127, 267, 519, 13372, 267, 10476, 543, 17111, 1631, 856, 15893, 1346, 4535, 538, 2342, 543, 1715, 10215, 563, 273, 269, 634, 4102, 3909, 30901, 568, 1100, 4984, 454, 2690, 519, 1101, 942, 267, 811, 26880, 630, 3066, 269, 277, 8472, 1767, 789, 1185, 834, 7224, 4984, 257, 982, 1022, 824, 1808, 30901, 267, 909, 689, 476, 1626, 260, 538, 476, 1220, 272, 563, 1607, 729, 4553, 676, 7826, 630, 2420, 269, 277, 15992, 29842, 534, 630, 1724, 269, 274, 15992, 9039, 7150, 630, 280, 269, 277, 15992, 519, 1133, 1746, 5783, 630, 274, 269, 278, 15992, 7332, 630, 273, 269, 277, 15992, 14418, 630, 273, 269, 275, 15992, 9699, 630, 272, 269, 280, 15992, 4033, 630, 271, 269, 279, 15992, 27566, 630, 271, 269, 276, 8472, 543, 6014, 630, 271, 269, 275, 260, 1916, 274, 269, 634, 6805, 2551, 568, 3395, 3728, 454, 5278, 476, 273, 269, 279, 260, 540, 26880, 1767, 789, 941, 16971, 610, 8776, 637, 26463, 29474, 267, 909, 689, 476, 273, 269, 276, 260, 538, 476, 1001, 272, 563, 763, 2698 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 982, 1079, 630, 271, 269, 280, 8472, 829, 588, 668, 320, 269, 1717, 267, 476, 3445, 269, 279, 260, 540, 519, 8947, 588, 668, 1092, 941, 6992, 1242, 543, 3812, 829, 30965, 25556, 267, 11021, 602, 824, 6127, 610, 10321, 540, 521, 704, 3901, 807, 941, 3743, 585, 22289, 563, 2791, 723, 16761, 513, 3684, 8144, 540, 5697, 1543, 689, 938, 12240, 269, 901, 10342, 568, 3177, 9003, 585, 707, 13418, 543, 568, 538, 1100, 1259, 5497, 547, 5372, 1480, 8144, 269, 26681, 12713, 3080, 6862, 519, 5411, 543, 21101, 540, 519, 1543, 1118, 267, 543, 789, 12799, 771, 8010, 267, 1022, 2769, 610, 22466, 11269, 610, 15549, 625, 540, 1022, 2186, 267, 1519, 267, 1510, 20159, 267, 11269, 543, 15549, 625, 607, 547, 519, 10342, 540, 519, 8144, 4183, 610, 519, 6111, 610, 1264, 28467, 540, 519, 16627, 563, 9558, 331, 725, 616, 711, 17477, 538, 938, 1062, 269, 2659, 946, 540, 713, 4183, 543, 519, 16627, 568, 1641, 547, 782, 946, 9993, 8659, 538, 519, 16301, 543, 17148, 540, 2422, 540, 519, 12713, 3080, 3896, 269, 0, 763, 15460, 2630, 941, 2813, 676, 3593, 454, 1432, 4031, 827, 10269, 538, 16855, 888, 310, 529, 15898, 7296, 7333, 267, 3217, 1747, 538, 1857, 2127, 454, 1432, 568, 538, 10269, 888, 331, 1824, 540, 824, 6464, 454, 1432, 1281, 15522, 798, 888, 11854, 2644, 909, 26470, 454, 1432, 568, 15137, 6804, 10269, 888, 27409, 4428, 1922, 710, 569, 2666, 547, 6277, 23147, 454, 572, 2114, 2922, 855, 568, 1482, 607, 13189, 454, 1432, 616, 2081, 547, 20549, 10269, 888, 8243, 3183, 2306, 707, 4552, 543, 9660, 9329, 3983, 454, 339, 984, 8829, 946, 3123, 3983, 7362, 543, 20585, 338, 2631, 540, 9329, 543, 6492, 454, 4754, 12962, 4522, 543, 11263, 454, 4754, 1831, 7199, 454, 7224, 3476, 2808, 3579, 454, 2908, 4031, 7333, 7296, 454, 1692, 547, 2161, 1100, 888, 22496, 609, 1875, 23337, 3183, 2828, 454, 1692, 1281, 835, 2736, 519, 4356, 888, 4289, 4128, 547, 16718, 543, 1224, 1592, 950, 835, 6499, 547, 8673, 454, 23437, 599, 8654, 909, 585, 1906, 3764, 454, 3553, 1507, 3853, 454, 1326, 7759, 540, 782, 7296, 23106, 454, 339, 787, 547, 2057, 21596, 538, 519, 4098, 454, 4219, 6208, 5532, 547, 7296, 454, 514, 1203, 513, 8007, 454, 1432, 568, 519, 1875, 23337, 758, 619, 3915, 540, 2924, 888, 2431, 547, 13236, 2973, 2011, 454, 2431, 547, 3717, 856, 454, 2431, 547, 957, 454, 1432, 616, 2640, 540, 711, 7296, 888, 560, 599, 1072, 263, 15884, 711, 3251, 7210, 607, 1279, 994, 27234, 2635, 2960, 263, 1652, 5135, 543, 5567, 5012, 547, 14432, 2960, 454, 30236, 4195, 23337, 2454, 9660, 543, 4552, 23337, 749, 1732, 454, 321, 21392, 5026, 2773, 2275, 534, 7362, 1732, 454, 18141, 26195, 10098, 618, 2635, 454, 1432, 616, 519, 2360, 593, 519, 2634, 888, 1432, 616, 519, 2360, 593, 519, 5023, 888, 745, 1231, 6492, 19512, 454, 4754, 1356, 538, 5023, 543, 11563, 454, 1432, 616, 2360, 593, 2295, 888, 327, 27941, 4960, 540, 2295, 6285, 454, 1432, 616, 519, 2360, 593, 6091, 888, 1652, 1973, 5135, 8928, 547, 6091, 627, 857, 327, 3123, 873, 547, 10413, 811, 950, 16706, 454, 1432, 1281, 621, 798, 547, 7929, 1062, 888, 17043, 720, 31276, 10008, 799, 2306, 519, 9641, 1447, 2111, 547, 3761, 3404, 344, 7217, 334, 707, 1560, 454, 15041, 19148, 572, 2742, 8584, 2068, 602, 2164, 538, 519, 9552, 540, 519, 31276, 10008, 538, 519, 9641, 454, 1432, 1281, 621, 798, 547, 9667, 1062, 888, 4754, 1291, 547, 5023, 543, 7181, 21385, 799, 616, 11213, 1930, 865, 1513, 454, 9618, 916, 4522, 543, 14779, 3917, 3641, 2681, 454, 29342, 1512, 547, 1205, 19659, 543, 10733, 2068, 454, 1432, 1281, 621, 798, 547, 8401, 1062, 888, 322, 8083, 1524, 2179, 540, 5135, 602, 519, 1973, 666, 4163, 547, 519, 2634, 454, 1432, 1281, 621, 798, 547, 30057, 1062, 888, 18484, 1405, 1205, 2614, 1973, 610, 5135, 454, 8619, 4926, 2295, 6285, 543, 18116, 454, 1432, 1281, 621, 798, 547, 2300, 805, 800, 1062, 888, 1372, 14179, 335, 15485, 2860, 454, 23755, 338, 1205, 883, 1973, 0, 299, 820, 1216, 666, 581, 1753, 547, 5215, 540, 18784, 15495, 543, 4551, 602, 666, 5732, 2014, 4576, 267, 1818, 873, 5906, 12647, 563, 5278, 666, 581, 9597, 5652, 267, 15720, 10898, 971, 607, 7725, 267, 20743, 543, 19514, 7252, 269, 2755, 930, 2178, 14768, 971, 607, 22850, 1749, 616, 7298, 267, 1866, 666, 2095, 896, 519, 1216, 779, 2627, 563, 5278, 3979, 12647, 666, 5305, 14686, 12269, 540, 15027, 9362, 269, 634, 3679, 7297, 540, 891, 12647, 616, 5827, 540, 4929, 17236, 547, 1480, 2960, 563, 294, 1162, 689, 29351, 602, 23271, 538, 10720, 1216, 547, 1106, 971, 15755, 1786, 9749, 1331, 3327, 8166, 267, 20962, 584, 8166, 267, 7250, 20962, 728, 267, 7250, 17296, 267, 543, 7250, 21973, 269, 2353, 20715, 547, 1272, 563, 2080, 616, 519, 1034, 5906, 12647, 538, 519, 1158, 912, 272, 269, 4425, 4979, 8235, 454, 22517, 4979, 8235, 568, 4092, 538, 18067, 3821, 779, 5651, 928, 18858, 529, 16381, 976, 2817, 5244, 269, 901, 10720, 568, 519, 2034, 28376, 2067, 3905, 5614, 593, 3618, 563, 22517, 4979, 8235, 568, 27876, 535, 20783, 3421, 630, 320, 11523, 610, 513, 8559, 538, 519, 3047, 779, 12933, 264, 689, 513, 18962, 538, 519, 1858, 1634, 607, 519, 9503, 540, 2677, 15684, 563, 763, 2837, 540, 713, 10720, 568, 476, 10844, 11019, 595, 269, 634, 10720, 568, 2141, 3636, 1813, 547, 519, 18962, 28188, 2282, 519, 10720, 563, 18933, 21148, 568, 14553, 19275, 1317, 519, 1216, 666, 2132, 547, 922, 3312, 14495, 1533, 538, 513, 2339, 540, 7643, 609, 2370, 610, 1100, 9963, 267, 543, 666, 581, 547, 5739, 543, 5906, 563, 273, 269, 10127, 778, 599, 8235, 454, 299, 820, 10127, 778, 599, 729, 513, 1507, 10720, 538, 519, 7013, 772, 1537, 10239, 538, 3844, 6576, 563, 28275, 538, 476, 4198, 272, 267, 519, 8168, 5742, 1031, 10127, 778, 599, 607, 513, 546, 18804, 3135, 585, 14599, 3653, 689, 2904, 752, 267, 519, 7404, 6046, 3653, 4859, 543, 1065, 549, 22422, 9744, 267, 4092, 2282, 519, 4884, 540, 744, 5414, 832, 330, 563, 299, 820, 10127, 778, 599, 814, 1419, 16363, 519, 1034, 26130, 1747, 593, 3047, 269, 2986, 519, 3165, 543, 824, 12748, 2249, 602, 7639, 972, 267, 782, 616, 2808, 547, 4163, 1164, 2157, 540, 24037, 5982, 563, 2005, 779, 865, 6757, 602, 513, 476, 276, 18826, 3643, 666, 2285, 513, 1480, 513, 9570, 540, 14599, 7452, 602, 1223, 6146, 873, 282, 513, 3476, 3643, 540, 606, 5662, 610, 865, 568, 16798, 547, 581, 24037, 563, 7628, 513, 10980, 538, 476, 3422, 272, 267, 519, 2842, 5645, 6757, 7452, 602, 23735, 7007, 476, 4335, 267, 1822, 1004, 267, 513, 13357, 3379, 547, 519, 10570, 10514, 12628, 593, 670, 30090, 563, 274, 269, 8235, 12309, 454, 299, 820, 12309, 568, 519, 3791, 4102, 540, 519, 2947, 4279, 20463, 540, 3345, 3013, 543, 4440, 267, 519, 4666, 31586, 563, 2005, 814, 1044, 1767, 676, 3744, 602, 1813, 547, 519, 18962, 896, 519, 10720, 267, 3327, 8166, 3154, 3893, 883, 519, 1216, 543, 922, 1377, 2799, 547, 1491, 519, 1106, 540, 6531, 543, 20386, 782, 1472, 563, 763, 3337, 540, 8235, 12309, 2306, 621, 3226, 12155, 547, 5906, 18009, 14768, 543, 519, 533, 4536, 543, 2703, 802, 3172, 1518, 519, 1699, 1966, 267, 4929, 2669, 543, 7063, 563, 763, 10720, 3587, 811, 24037, 538, 519, 2887, 3275, 540, 5239, 543, 5437, 950, 6727, 543, 1713, 2242, 538, 519, 2011, 543, 1216, 5210, 2333, 519, 15514, 2033, 640, 543, 4222, 540, 519, 14768, 543, 6329, 563, 299, 820, 12309, 568, 849, 3743, 585, 513, 29200, 7077, 16154, 563, 4517, 13974, 547, 519, 645, 1069, 19085, 21121, 267, 972, 729, 1100, 9266, 2601, 3297, 621, 563, 301, 23354, 22947, 476, 7742, 272, 729, 835, 540, 519, 10782, 7077, 26301, 538, 1686, 609, 782, 476, 6812, 15915, 2469, 1524, 609, 519, 7077, 936, 8235, 12309, 269, 1677, 713, 1554, 267, 519, 7077, 814, 711, 1044, 16626, 563, 1103, 1840, 547, 519, 9490, 2011, 2534, 1657, 519, 10720, 267, 621, 779, 849, 513, 5906, 1560, 540, 1216, 1813, 547, 922, 3728, 268, 14127, 14768, 563, 275, 269, 8235, 3933, 1735, 454, 299, 11343, 538, 519, 21411, 340, 26439, 545, 12197, 538, 23759, 3019, 267, 8235, 3933, 1735, 5526, 547, 581, 513, 3339, 1560, 540, 1216, 269, 1809, 922, 5654, 616, 13587, 1516, 607, 621, 779, 835, 540, 1152, 1614, 12647, 593, 3618, 602, 814, 1011, 10757, 1510, 9963, 538, 513, 1929, 5371, 20349, 563, 4002, 4864, 476, 1428, 267, 476, 2735, 275, 267, 519, 10720, 1011, 10757, 538, 513, 1929, 5371, 20349, 267, 799, 8507, 538, 519, 5305, 540, 513, 1804, 2179, 540, 3327, 8166, 602, 7166, 476, 4391, 1004, 563, 23562, 10679, 540, 519, 28896, 941, 14964, 538, 513, 14903, 602, 588, 6817, 543, 1141, 7166, 676, 519, 24037, 3154, 950, 789, 608, 1243, 519, 14903, 547, 8495, 563, 2005, 729, 519, 1101, 1634, 2013, 540, 10720, 16765, 1248, 563, 276, 269, 8235, 27526, 657, 454, 299, 820, 27526, 657, 666, 581, 1336, 538, 23759, 3019, 267, 543, 568, 835, 540, 519, 1158, 779, 1011, 5317, 12647, 563, 299, 820, 27526, 657, 11199, 14186, 21237, 1813, 547, 513, 17927, 540, 29351, 602, 25361, 519, 10720, 609, 3327, 545, 3679, 269, 769, 476, 2735, 277, 267, 8235, 27526, 657, 267, 1175, 476, 7830, 5195, 689, 8235, 3933, 1735, 267, 1011, 10757, 1310, 513, 17927, 540, 29351, 593, 519, 10720, 5523, 682, 8898, 3327, 8166, 883, 519, 1216, 267, 13321, 621, 883, 3327, 545, 3679, 267, 11318, 827, 476, 272, 267, 10384, 1004, 543, 476, 274, 267, 4335, 13184, 563, 15368, 1227, 267, 4986, 15068, 585, 476, 1428, 5195, 563, 763, 10720, 5170, 547, 10460, 513, 2367, 864, 1317, 922, 2067, 3774, 568, 17866, 543, 1256, 519, 13581, 652, 12152, 528, 1223, 6861, 621, 563, 2252, 519, 1216, 689, 8235, 27526, 657, 2095, 539, 1863, 267, 621, 1223, 6861, 1082, 14252, 593, 519, 2619, 563, 277, 269, 8235, 540, 519, 23520, 10225, 454, 1607, 16351, 10720, 729, 1175, 2947, 9634, 21183, 540, 1373, 519, 1034, 5906, 1747, 547, 10935, 538, 519, 2136, 2276, 538, 476, 1001, 278, 563, 6097, 547, 519, 772, 2529, 269, 11076, 15050, 1630, 908, 7194, 267, 519, 10720, 1185, 476, 6872, 1630, 908, 10913, 269, 2334, 568, 1152, 476, 4375, 10913, 2110, 540, 519, 9533, 7909, 779, 2698, 585, 519, 1032, 563, 4415, 1100, 835, 2384, 532, 519, 2238, 267, 2462, 17040, 16996, 543, 2267, 23924, 6370, 936, 8513, 543, 10460, 14686, 6937, 547, 4130, 16996, 267, 2870, 513, 986, 1075, 748, 267, 546, 732, 22563, 559, 1604, 563, 9827, 267, 11506, 2157, 540, 3235, 10008, 723, 1044, 4362, 972, 267, 14356, 1813, 547, 513, 2199, 13962, 693, 519, 476, 278, 13304, 15262, 546, 18804, 6151, 21137, 883, 519, 10720, 563, 278, 269, 15243, 779, 4270, 454, 297, 659, 984, 779, 4270, 267, 4092, 538, 7147, 267, 568, 1753, 547, 930, 540, 519, 1034, 5906, 11362, 23572, 538, 519, 1158, 563, 763, 5023, 568, 513, 476, 1789, 20356, 2620, 2067, 1134, 602, 10741, 909, 693, 519, 5377, 547, 513, 3376, 3060, 540, 23572, 602, 1082, 538, 23024, 27624, 4129, 2760, 4734, 563, 763, 14969, 3060, 540, 14015, 23572, 15198, 1439, 8393, 1524, 519, 1134, 726, 25128, 936, 476, 1911, 1111, 1524, 269, 6168, 476, 277, 267, 1822, 1111, 540, 15102, 723, 1044, 13006, 2469, 1524, 547, 1134, 11489, 4266, 563, 2467, 616, 1585, 4191, 11540, 1472, 519, 1134, 2542, 968, 4306, 8008, 269, 28217, 309, 7728, 22400, 16692, 26059, 256, 23184, 12971, 674, 2752, 8025, 2207, 2223, 2059, 609, 5013, 7282, 519, 7928, 13946, 7972, 563, 279, 269, 8235, 14844, 1258, 454, 299, 820, 14844, 1258, 267, 4092, 538, 7187, 25157, 267, 568, 4988, 538, 513, 2699, 6070, 12933, 267, 543, 814, 513, 9063, 1377, 607, 1164, 607, 476, 1015, 269, 276, 267, 1818, 621, 7168, 5667, 340, 3386, 585, 2713, 7068, 563, 1103, 1249, 267, 621, 666, 6633, 519, 2960, 543, 4064, 540, 2831, 602, 5749, 1406, 9862, 547, 519, 10720, 779, 1808, 17539, 563, 12850, 8928, 883, 519, 10720, 267, 855, 3085, 1406, 723, 606, 17752, 547, 8963, 856, 540, 563, 2026, 513, 12343, 267, 607, 519, 1216, 18493, 919, 267, 621, 3762, 3297, 1164, 9830, 540, 6070, 1765, 14708, 621, 513, 6070, 10720, 267, 899, 519, 16458, 7256, 563, 2005, 666, 3914, 5210, 607, 1164 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5502, 540, 3843, 547, 9062, 891, 2338, 2047, 267, 649, 666, 2736, 873, 1524, 883, 811, 19242, 4773, 1384, 5325, 6398, 476, 2537, 9881, 486, 630, 2004, 6567, 476, 274, 7565, 736, 1341, 476, 274, 2020, 3086, 649, 666, 4019, 519, 2733, 5737, 3959, 547, 4228, 713, 4082, 1384, 2004, 263, 736, 1341, 476, 274, 264, 6567, 476, 274, 263, 736, 1341, 476, 274, 994, 284, 476, 272, 267, 1822, 1341, 476, 5611, 6567, 476, 2568, 6567, 476, 280, 454, 284, 476, 272, 267, 6021, 272, 692, 5629, 1586, 267, 713, 3884, 1405, 519, 3169, 1587, 540, 476, 5325, 543, 476, 2537, 269, 1717, 267, 621, 1281, 2285, 721, 513, 1434, 19406, 1384, 5325, 6398, 476, 2537, 9881, 486, 476, 272, 267, 6021, 272, 692, 1103, 1249, 267, 952, 649, 5173, 519, 3169, 1587, 267, 649, 1265, 602, 621, 781, 3160, 547, 476, 272, 267, 32146, 1107, 3833, 2673, 547, 938, 6059, 1871, 2439, 2005, 781, 4502, 15663, 602, 16759, 3884, 1405, 1175, 3730, 585, 10992, 4267, 282, 621, 666, 849, 948, 721, 1020, 513, 4514, 1620, 540, 6310, 2035, 269, 1280, 3236, 267, 676, 21501, 2472, 899, 476, 4343, 6398, 476, 6872, 610, 476, 5325, 6398, 476, 2537, 267, 649, 2811, 7142, 547, 1589, 5402, 827, 875, 891, 2338, 9305, 547, 1142, 824, 269, 901, 2186, 540, 7744, 666, 1628, 3407, 20932, 543, 1118, 2104, 9273, 4443, 780, 2414, 2417, 9414, 713, 1448, 267, 1577, 781, 1413, 693, 606, 1383, 5473, 2724, 269, 14597, 596, 2811, 9140, 7727, 585, 513, 1153, 1788, 267, 543, 596, 991, 547, 6718, 476, 1428, 31940, 602, 1942, 1269, 273, 269, 2004, 1142, 269, 1215, 1454, 786, 519, 31940, 1942, 538, 2698, 2496, 3080, 1259, 547, 4194, 713, 1966, 1131, 581, 547, 9062, 476, 1428, 543, 476, 273, 269, 2004, 2047, 1384, 13707, 1942, 815, 476, 1428, 6398, 1269, 273, 269, 2004, 454, 284, 1269, 4391, 269, 2004, 692, 3719, 1776, 1935, 1131, 581, 547, 7447, 519, 2698, 1942, 1101, 269, 4595, 1142, 21641, 3790, 5111, 1269, 273, 267, 649, 1522, 1376, 676, 21501, 519, 2698, 1942, 607, 5205, 1384, 13707, 1942, 9881, 486, 476, 1428, 6398, 1269, 273, 454, 284, 1269, 1789, 692, 1607, 7447, 6645, 721, 602, 519, 3020, 2698, 1942, 568, 2693, 547, 581, 10169, 2362, 982, 1269, 1789, 267, 855, 1869, 5266, 2673, 269, 1403, 649, 4941, 513, 811, 4977, 7447, 267, 649, 1223, 5180, 909, 547, 1269, 274, 829, 21641, 1384, 13707, 1942, 9881, 486, 476, 1428, 6398, 1269, 274, 454, 284, 1269, 3393, 692, 3086, 649, 723, 513, 2039, 540, 2009, 2698, 3790, 1384, 259, 1789, 2999, 11192, 1942, 2999, 1269, 3393, 692, 15612, 908, 519, 3169, 2698, 1942, 25495, 602, 621, 8813, 1369, 713, 2039, 1384, 13707, 1942, 815, 476, 1428, 6398, 1269, 273, 269, 2004, 454, 284, 1269, 4391, 269, 2004, 692, 3528, 21501, 519, 2698, 1942, 1101, 267, 649, 941, 2111, 547, 3533, 7522, 1524, 519, 7399, 543, 2057, 3257, 11991, 9819, 269, 5047, 267, 713, 1184, 5280, 721, 1174, 1946, 519, 2698, 1942, 729, 10199, 1269, 4391, 269, 2004, 281, 621, 781, 1317, 1142, 21641, 3790, 1472, 1269, 273, 269, 2004, 267, 543, 649, 11751, 476, 1428, 540, 873, 780, 1103, 5758, 267, 21501, 1079, 18251, 8691, 2042, 568, 606, 1898, 5578, 585, 1022, 22301, 269, 898, 2636, 721, 547, 2638, 938, 960, 267, 1020, 20932, 267, 543, 4688, 942, 593, 9273, 269, 6787, 596, 2811, 2324, 609, 2898, 2338, 267, 17447, 267, 610, 1256, 4632, 267, 16759, 666, 1683, 3407, 4030, 883, 519, 2497, 540, 6310, 7215, 269, 1924, 1832, 8026, 891, 2553, 267, 543, 3314, 281, 3006, 267, 4114, 574, 725, 666, 581, 1175, 607, 3730, 607, 3169, 4267, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 275, 628, 3446, 630, 292, 675, 6390, 4569, 270, 8777, 720, 29369, 264, 910, 21602, 476, 274, 281, 11638, 18251, 8691, 543, 6498, 8487, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 13445, 589, 281, 11638, 2364, 894, 6476, 2262, 2042, 2580, 834, 273, 269, 13445, 645, 281, 18527, 676, 476, 1015, 267, 476, 1911, 267, 543, 476, 272, 267, 1822, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 16215, 476, 274, 281, 21602, 476, 274, 281, 11638, 18251, 8691, 543, 6498, 910, 13445, 595, 281, 18527, 540, 909, 547, 2185, 9704, 676, 2582, 18251, 2338, 8487, 2171, 723, 2907, 4988, 519, 1739, 4245, 538, 519, 1699, 3184, 281, 4635, 1858, 2203, 543, 3601, 547, 9062, 2580, 5564, 28745, 609, 1858, 2203, 281, 476, 277, 1535, 476, 278, 7176, 272, 2580, 6480, 26305, 609, 8691, 2580, 5564, 28745, 476, 273, 1673, 580, 1080, 676, 476, 272, 18251, 609, 9864, 2472, 2580, 4039, 622, 8691, 609, 1858, 3631, 547, 519, 3044, 5690, 2580, 5564, 28745, 476, 274, 18251, 676, 476, 272, 18251, 2580, 5564, 28745, 476, 274, 18251, 676, 476, 272, 18251, 630, 2958, 29470, 264, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 15307, 26305, 476, 273, 18251, 8691, 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, 2710, 711, 1331, 513, 2140, 610, 606, 4367, 267, 3274, 2328, 519, 1543, 1510, 24657, 543, 2606, 2453, 269, 10312, 17033, 593, 519, 1641, 3294, 1510, 5356, 5796, 593, 3450, 543, 6044, 269, 0, 24695, 19223, 267, 519, 7936, 540, 7762, 1415, 7255, 609, 519, 1353, 540, 13479, 267, 568, 513, 4105, 1858, 540, 6211, 4763, 1382, 269, 7324, 519, 1082, 3344, 540, 32443, 19223, 267, 4307, 1108, 1107, 519, 1353, 540, 18596, 2030, 1272, 4783, 5933, 267, 971, 607, 15496, 543, 2927, 1746, 1107, 814, 6591, 1713, 3007, 1813, 547, 922, 1761, 6286, 585, 1620, 519, 5222, 540, 2916, 1689, 593, 2030, 5095, 269, 901, 3184, 12538, 883, 519, 4241, 1158, 540, 10786, 10740, 2861, 4307, 1670, 1382, 267, 10223, 922, 2956, 267, 2409, 267, 543, 3156, 780, 2162, 634, 5295, 540, 4173, 321, 10740, 10410, 6036, 692, 295, 8538, 7559, 616, 1065, 21627, 1559, 540, 12873, 2030, 15013, 267, 23939, 6394, 267, 20399, 267, 12015, 267, 543, 13042, 676, 5481, 540, 6131, 7762, 534, 1235, 269, 1452, 10070, 2709, 513, 14951, 7708, 557, 540, 1344, 827, 2030, 3892, 267, 30953, 267, 543, 14498, 269, 2859, 5063, 267, 3173, 723, 4362, 1776, 3407, 3498, 585, 891, 3140, 2200, 281, 18949, 532, 2250, 3270, 540, 4307, 1670, 2621, 269, 1635, 6313, 519, 11095, 3942, 540, 513, 2030, 693, 519, 942, 621, 729, 6394, 267, 3744, 666, 18505, 950, 1883, 1272, 4783, 2621, 7018, 267, 3246, 2629, 5813, 883, 875, 2371, 4431, 547, 2825, 2188, 2066, 2230, 543, 942, 780, 763, 1871, 540, 10786, 10740, 15013, 6013, 538, 741, 15325, 543, 15364, 269, 3509, 5238, 2777, 15013, 6580, 1394, 5553, 267, 5356, 1350, 31663, 525, 883, 1279, 1790, 770, 8134, 543, 3850, 3173, 547, 3950, 2242, 538, 4307, 1670, 12557, 936, 6905, 5712, 269, 5047, 267, 2094, 10786, 10740, 10070, 1419, 12732, 5318, 10923, 9832, 267, 789, 5512, 1804, 8397, 16198, 540, 6237, 3604, 538, 2030, 6114, 547, 4657, 2175, 269, 769, 2110, 267, 10786, 10740, 15013, 4196, 607, 25135, 32718, 540, 519, 2250, 267, 13830, 3134, 31906, 531, 8090, 538, 513, 2030, 781, 1272, 1686, 543, 8497, 873, 585, 2104, 2079, 780, 2162, 8693, 7827, 543, 26263, 1670, 1744, 22284, 692, 19102, 2084, 2963, 5267, 602, 2518, 8337, 568, 4929, 10593, 538, 4307, 1670, 3270, 5001, 269, 2368, 2249, 1631, 16036, 4505, 267, 1247, 1866, 8858, 16607, 2927, 1746, 2053, 610, 12012, 2208, 3029, 269, 6270, 19260, 666, 7519, 2565, 8733, 4205, 267, 1519, 26853, 543, 6079, 29371, 267, 6038, 17116, 9265, 543, 5117, 6617, 780, 295, 8538, 10740, 2861, 4307, 1670, 1382, 3091, 513, 2189, 5133, 593, 713, 3390, 269, 9521, 2413, 22423, 14449, 267, 799, 3335, 3382, 1152, 513, 1906, 5756, 267, 10786, 10740, 5638, 949, 8831, 1394, 811, 982, 513, 2540, 267, 7175, 3173, 547, 1747, 4207, 7422, 1369, 513, 6626, 2796, 269, 5015, 267, 1317, 10786, 10740, 15013, 7001, 4307, 1670, 2621, 2059, 2067, 27080, 540, 2837, 267, 13247, 267, 543, 824, 20296, 4632, 267, 789, 1450, 3744, 547, 771, 550, 4120, 519, 1950, 16799, 1063, 2825, 10256, 543, 2030, 6114, 780, 2690, 1383, 267, 513, 14262, 1353, 3370, 538, 519, 1977, 4750, 540, 15636, 1415, 538, 476, 1001, 276, 7152, 602, 10786, 10740, 5638, 1223, 7866, 1312, 1279, 3856, 3466, 538, 4307, 1670, 15222, 344, 543, 703, 6652, 24594, 8390, 538, 3210, 547, 2916, 1689, 269, 4635, 15013, 689, 2429, 9456, 3345, 3013, 267, 519, 4589, 4951, 602, 1978, 5614, 32704, 1359, 3529, 2249, 1185, 17146, 741, 5229, 10767, 560, 7389, 538, 3210, 547, 8375, 5210, 267, 6466, 1866, 7283, 24240, 269, 12830, 569, 267, 891, 4681, 12006, 519, 1909, 540, 4719, 13260, 538, 1199, 11868, 4307, 28437, 29010, 267, 11021, 602, 930, 2249, 1522, 581, 1732, 9280, 547, 11883, 609, 5571, 2825, 1689, 780, 2162, 10613, 543, 12694, 692, 8601, 741, 10373, 1761, 267, 10786, 10740, 2861, 4307, 1670, 2090, 3068, 1896, 2591, 269, 2290, 2101, 19224, 548, 3322, 8308, 21501, 11095, 5933, 689, 3006, 20541, 569, 12873, 15013, 269, 1677, 7753, 713, 21677, 267, 3173, 1419, 12840, 609, 1225, 2209, 543, 3454, 21978, 4966, 945, 4865, 15982, 1702, 540, 1367, 15013, 543, 741, 2404, 4015, 2199, 885, 269, 3958, 267, 13387, 10873, 585, 18176, 4307, 1670, 2829, 948, 2327, 11007, 1851, 24319, 543, 7520, 3444, 24713, 344, 16198, 780, 5194, 4161, 4145, 519, 2099, 520, 4369, 540, 10786, 10740, 10070, 269, 5221, 1034, 15013, 941, 8385, 10356, 585, 3454, 21978, 5301, 2864, 982, 4307, 1670, 5464, 267, 789, 949, 711, 2141, 18113, 3732, 519, 2407, 2039, 540, 13260, 4767, 538, 2470, 269, 1280, 3236, 267, 19216, 4043, 547, 3870, 9921, 267, 1397, 344, 2043, 267, 5732, 1979, 2084, 9193, 540, 15496, 610, 2927, 1746, 12451, 269, 1717, 267, 5499, 4485, 899, 6098, 10386, 11044, 543, 8579, 9781, 2553, 666, 13148, 11574, 891, 2152, 267, 7393, 519, 10727, 543, 10626, 540, 10786, 10740, 23402, 4307, 1670, 1239, 780, 2162, 10241, 543, 8892, 19648, 692, 30265, 539, 609, 606, 4824, 1620, 540, 2250, 543, 1459, 4307, 1670, 6384, 267, 3173, 666, 2253, 5466, 10296, 2055, 3823, 519, 4539, 540, 2916, 1689, 585, 2030, 2950, 543, 8200, 7103, 269, 1280, 1383, 267, 16762, 3631, 6220, 10786, 10740, 2861, 4307, 1670, 1239, 666, 9472, 875, 1114, 2249, 786, 4431, 547, 1585, 8511, 3154, 5434, 7653, 267, 26655, 5726, 4058, 3646, 6322, 693, 17420, 7925, 9249, 543, 5009, 6043, 780, 11101, 267, 10128, 10786, 10740, 5638, 609, 824, 2010, 540, 1239, 27137, 607, 6552, 15392, 11052, 267, 12504, 2257, 7422, 267, 543, 8097, 6354, 2827, 1765, 4754, 6556, 1256, 4514, 4030, 883, 519, 5817, 3123, 543, 4539, 540, 4307, 1670, 10593, 269, 1306, 6639, 8441, 3136, 547, 4228, 519, 9165, 543, 4336, 540, 2139, 2200, 267, 3255, 32736, 585, 3860, 5698, 1851, 10459, 543, 8639, 16539, 538, 1620, 543, 8497, 3047, 781, 9058, 6211, 4763, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 1156, 1670, 3194, 1210, 4173, 321, 10740, 10410, 6036, 454, 1607, 2985, 512, 5429, 919, 3370, 4307, 1670, 1382, 602, 814, 1031, 10786, 10740, 19494, 1239, 563, 10673, 1405, 1294, 606, 2376, 596, 2811, 3168, 585, 286, 21909, 1196, 1080, 2336, 268, 7831, 8242, 5147, 476, 2918, 267, 476, 1708, 272, 20620, 10673, 1405, 1294, 606, 2376, 596, 2811, 3168, 585, 286, 21909, 1196, 1080, 2336, 268, 7831, 8242, 5147, 476, 2918, 267, 476, 1708, 272, 20620, 288, 29194, 593, 10786, 10740, 2861, 4307, 1670, 1382, 454, 289, 6929, 670, 12000, 1068, 344, 267, 1325, 13453, 670, 913, 267, 19626, 631, 1794, 518, 454, 1607, 3561, 2488, 513, 3551, 7650, 540, 4307, 1670, 1382, 1210, 10786, 7559, 269, 898, 729, 2919, 607, 851, 540, 519, 26263, 1670, 17402, 281, 4197, 3414, 3163, 543, 19731, 13734, 630, 12195, 4785, 306, 264, 5358, 563, 295, 8538, 10740, 5638, 616, 6325, 2959, 540, 4307, 1670, 1689, 9141, 676, 2916, 543, 1683, 3209 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 5804, 713, 5618, 7156, 540, 519, 4540, 29071, 543, 3664, 267, 621, 568, 7805, 602, 972, 568, 513, 1390, 7934, 538, 519, 1379, 540, 1312, 2136, 2276, 543, 1533, 10470, 547, 19439, 12075, 585, 22867, 593, 4095, 3338, 6411, 799, 1131, 581, 2808, 538, 1034, 2950, 3978, 1857, 1055, 1878, 269, 1240, 1677, 7753, 713, 25031, 3510, 267, 519, 3084, 2229, 814, 2813, 1978, 30271, 540, 4095, 5510, 5151, 267, 1095, 3660, 936, 676, 4095, 16488, 267, 519, 1152, 27152, 6392, 585, 799, 616, 519, 1585, 3261, 725, 676, 6837, 585, 519, 8569, 540, 519, 23269, 540, 519, 16488, 269, 634, 1152, 3375, 24569, 873, 568, 602, 676, 519, 10588, 7040, 540, 14822, 267, 21235, 5176, 17288, 1296, 3516, 267, 866, 538, 799, 741, 6392, 568, 1767, 547, 1964, 593, 519, 2489, 1379, 540, 519, 14199, 540, 519, 25181, 547, 1118, 3652, 543, 6042, 585, 519, 2359, 540, 4095, 12602, 269, 634, 6042, 896, 799, 519, 10470, 7500, 616, 8659, 538, 519, 2895, 24191, 6042, 540, 519, 4095, 8433, 12946, 519, 4266, 476, 5002, 275, 269, 736, 454, 291, 558, 4382, 9534, 269, 634, 6469, 1894, 540, 519, 12075, 616, 2451, 3592, 7357, 547, 741, 1378, 8990, 269, 634, 10470, 540, 519, 1896, 2829, 267, 950, 1572, 2390, 547, 2015, 519, 14496, 540, 22888, 543, 32682, 806, 676, 865, 10777, 4095, 2688, 267, 723, 3592, 25144, 909, 18988, 873, 593, 519, 3069, 602, 519, 3084, 2229, 814, 6444, 519, 13190, 540, 519, 12075, 538, 971, 6927, 543, 3976, 6569, 873, 689, 519, 7706, 540, 1533, 1876, 538, 713, 2463, 269, 2641, 634, 10182, 540, 519, 3084, 2229, 568, 2417, 8612, 676, 519, 11865, 538, 519, 29071, 11341, 547, 18472, 540, 4095, 3338, 282, 602, 8164, 1022, 5256, 543, 4775, 4095, 4927, 723, 1071, 4725, 1243, 1927, 607, 9393, 543, 7385, 2687, 547, 519, 2688, 543, 6073, 540, 4095, 1272, 267, 519, 3390, 540, 971, 1071, 4725, 2787, 4927, 581, 585, 519, 5301, 7192, 2803, 4660, 3144, 543, 16363, 547, 581, 519, 16048, 3390, 540, 519, 12075, 865, 2713, 1927, 269, 2420, 4014, 519, 10470, 5431, 519, 3665, 1217, 1275, 540, 4095, 7365, 543, 16028, 267, 711, 1169, 4638, 6935, 13054, 606, 4095, 7365, 282, 519, 1894, 1063, 519, 6105, 1590, 581, 6024, 543, 2347, 543, 971, 607, 568, 8912, 1063, 7606, 1876, 2685, 9310, 269, 2537, 634, 1138, 559, 3363, 540, 519, 4095, 2688, 7365, 547, 519, 1455, 1876, 7365, 540, 938, 1378, 16324, 1135, 640, 568, 8612, 676, 519, 1249, 602, 538, 20274, 267, 1141, 519, 1533, 4031, 4019, 547, 519, 12075, 540, 519, 12866, 6406, 1242, 17650, 525, 267, 4095, 2688, 22888, 723, 1044, 13455, 607, 1455, 1876, 22888, 896, 519, 1533, 1876, 267, 543, 32682, 806, 1082, 2053, 18505, 1042, 689, 519, 1249, 540, 1279, 543, 6024, 9668, 563, 23114, 543, 16296, 7126, 269, 769, 19220, 540, 519, 4095, 781, 5191, 689, 519, 7803, 543, 1920, 4031, 540, 519, 1896, 2829, 267, 543, 711, 5976, 9227, 519, 25330, 1222, 540, 519, 3084, 2229, 267, 646, 568, 711, 840, 7672, 689, 759, 15659, 547, 519, 1533, 543, 2136, 2276, 10470, 547, 17997, 1010, 2123, 543, 3959, 2924, 269, 2190, 769, 1931, 547, 6488, 1864, 3606, 4027, 267, 621, 568, 3177, 676, 5313, 29417, 602, 519, 2136, 2276, 10588, 30374, 4927, 2099, 1864, 538, 782, 17015, 693, 1876, 610, 538, 9698, 269, 1839, 6145, 782, 824, 7606, 267, 519, 4095, 949, 10536, 3959, 267, 949, 1118, 11731, 950, 711, 2769, 569, 24193, 676, 519, 3084, 2229, 538, 519, 3635, 540, 922, 6392, 607, 27369, 267, 543, 949, 647, 324, 538, 519, 10470, 547, 17997, 1010, 2924, 538, 4276, 972, 5976, 607, 1134, 607, 547, 3489, 2699, 816, 585, 2123, 5945, 267, 610, 19231, 540, 1010, 15698, 269, 2918, 898, 568, 8969, 995, 267, 2705, 267, 950, 1010, 3959, 568, 796, 718, 582, 1540, 543, 1869, 896, 17174, 1852, 267, 2436, 519, 1533, 10470, 1131, 15936, 538, 13882, 1063, 1367, 12075, 7282, 971, 3959, 269, 2767, 7756, 9270, 849, 8451, 950, 519, 15784, 4145, 3959, 799, 519, 2136, 2276, 568, 8066, 585, 1864, 538, 3972, 269, 634, 5313, 29417, 2764, 3850, 1022, 4095, 547, 3142, 18659, 538, 519, 2136, 2276, 10588, 7040, 547, 3313, 1010, 1318, 547, 606, 28286, 618, 540, 2244, 896, 519, 4031, 540, 519, 2136, 2276, 814, 1044, 4371, 547, 22514, 12600, 16278, 538, 971, 5480, 267, 865, 602, 519, 1533, 10470, 949, 711, 6430, 13882, 7282, 519, 2140, 547, 2244, 538, 799, 519, 2136, 2276, 1869, 25601, 606, 1719, 269, 3066, 1809, 538, 19220, 540, 713, 267, 519, 1367, 4095, 267, 610, 519, 2136, 2276, 647, 532, 538, 1010, 15773, 607, 27369, 267, 949, 647, 324, 538, 519, 1533, 10470, 538, 782, 6927, 7282, 971, 2244, 952, 519, 2243, 540, 519, 2140, 5833, 676, 1864, 689, 519, 2136, 2276, 568, 711, 3238, 269, 1789, 454, 306, 527, 6672, 609, 21727, 547, 808, 9766, 323, 2109, 24296, 15384, 16371, 269, 901, 3510, 609, 2463, 547, 16278, 568, 17216, 5667, 15384, 16371, 269, 634, 4095, 5198, 568, 3356, 532, 547, 513, 2783, 1141, 621, 786, 4166, 581, 2838, 547, 8263, 2407, 5539, 538, 519, 2797, 267, 1514, 267, 543, 2804, 12602, 540, 10315, 267, 1533, 267, 543, 4182, 269, 634, 17174, 3919, 267, 593, 799, 729, 2392, 5344, 513, 1804, 2268, 540, 4095, 1582, 3766, 17922, 267, 814, 7361, 8709, 1639, 4849, 538, 930, 540, 519, 533, 29301, 657, 4029, 543, 538, 513, 1906, 824, 6806, 31681, 269, 898, 568, 796, 20459, 762, 602, 538, 519, 4031, 12044, 891, 1004, 519, 1271, 6927, 540, 6760, 543, 6469, 1894, 1058, 581, 31360, 269, 8935, 23336, 607, 547, 519, 3169, 16278, 540, 519, 1533, 543, 3084, 6608, 5012, 267, 32047, 267, 547, 10462, 543, 10539, 269, 8409, 26256, 714, 656, 540, 4095, 12602, 723, 1419, 1572, 3007, 547, 519, 3510, 267, 543, 4352, 9645, 24895, 6818, 607, 547, 519, 1797, 547, 581, 7550, 547, 16185, 2175, 267, 6644, 568, 3226, 796, 29434, 748, 602, 930, 9086, 568, 2877, 547, 2953, 519, 1459, 7334, 543, 5667, 15384, 16371, 1533, 540, 12602, 269, 3953, 454, 763, 9483, 543, 4317, 17148, 18748, 532, 4521, 543, 7225, 2772, 10029, 269, 7102, 1062, 540, 1876, 543, 7245, 585, 519, 12075, 1590, 11063, 609, 519, 1915, 543, 2783, 540, 519, 1004, 547, 7247, 621, 10039, 267, 543, 713, 3119, 7156, 2306, 1022, 7833, 3070, 540, 519, 1966, 7543, 269, 634, 4095, 1004, 4268, 7494, 538, 519, 4110, 547, 799, 789, 723, 15849, 23624, 3043, 9821, 543, 4441, 540, 2713, 269, 634, 623, 29301, 657, 267, 18937, 1690, 657, 267, 543, 7442, 2851, 616, 1851, 1346, 945, 723, 17477, 513, 1804, 2268, 540, 741, 17174, 1272, 267, 9821, 267, 543, 1893, 267, 1247, 519, 932, 2089, 1168, 553, 267, 918, 4594, 23411, 267, 15345, 1695, 553, 267, 962, 752, 574, 553, 267, 12736, 928, 321, 698, 3996, 267, 543, 1082, 540, 519, 12075, 540, 20274, 616, 1851, 1346, 945, 723, 23987, 1034, 540, 741, 18642, 6208, 538, 3870, 540, 519, 6093, 6073, 540, 1272, 540, 519, 4478, 3043, 2146, 269, 4634, 1369, 519, 5094, 11031, 267, 5318, 3604, 616, 1336, 1063, 2043, 269, 3509, 540, 519, 4587, 1004, 917, 1100, 1893, 824, 982, 741, 5065, 11469, 543, 723, 7550, 1906, 540, 519, 9821, 543, 2093, 540, 519, 3043, 1004, 267, 6466, 1082, 540, 519, 7820, 12075, 723, 4607, 930, 2069, 538, 519, 3506, 267, 3717, 2296, 21230, 1134, 267, 543, 676, 2673, 3346, 917, 703, 2954, 519, 642, 1182, 607, 1134, 607, 519, 21644, 540, 519, 24272, 22057, 5198, 269, 1452, 5318, 3604, 723, 4607, 1100, 6101, 6284, 538, 1876, 4849, 538, 810, 30138, 607, 3972, 24977, 896, 519, 29861, 525, 2920, 610, 24977, 538, 13927, 896, 519, 8738, 651, 2920, 723, 1044, 2016, 547, 1367, 12075, 267, 799, 2962, 607, 814, 1044, 2938, 267, 814, 519, 1198, 540, 9427, 873, 538, 851, 693, 2547, 689, 519, 16278, 540, 519, 3084, 2229, 563, 288, 5318, 3017, 849, 6818, 1063, 519, 1585, 4095, 2516, 609, 2463, 547, 741, 10923, 267, 1514, 267, 543, 2797, 1604, 269, 15742, 11031, 267, 971, 607, 519, 14466, 698, 3996, 267, 18937, 1690, 657, 267, 543, 7442, 2851, 267, 616, 24267, 4095, 2950, 267, 865, 9678, 607, 547, 581, 9425, 1863, 689, 13779, 543, 3310, 676, 1022, 4478, 3043, 2551, 269, 6270, 12075, 607, 519, 623, 29301, 657, 267, 9093, 558, 710, 525, 267, 543, 595, 4900, 13822, 9425, 11741, 7292, 2516, 267, 855, 789, 616, 733, 27631, 547, 1434, 13355, 3043, 2950, 865, 602, 972, 568, 6923, 9645, 26697, 1063, 519, 1079, 269, 3973, 267, 593, 1082, 1930, 31681, 519, 12075, 616, 1869, 1459, 538, 1804, 2338, 267, 855, 3006, 519, 3043, 13896, 13822, 513, 1804, 8167, 540, 519, 2551, 269, 14936, 267, 972, 616, 12075, 1869, 896, 2229, 15569, 267, 945, 616, 16559, 936, 1804, 6810, 540, 2197, 267, 543, 945, 13822, 855, 513, 1507, 851, 540, 519, 2551, 799, 568, 15866, 3043, 269, 634, 12866, 6406, 1242, 17650, 525, 540, 20274, 543, 519, 12075, 540, 4993, 616, 17736, 545, 6681, 1806, 540, 713, 1362, 540, 519, 4095, 1004, 563, 763, 11268, 540, 1931, 543, 519, 7245, 540, 5126, 1851, 519, 12075, 568, 7494, 554, 2086, 1229, 676, 519, 1249, 602, 789, 616, 1419, 13883, 267, 2901, 6552, 689, 10315, 16295, 543, 824, 4025, 1141, 5480, 10742, 543, 2489, 3656, 1870, 568, 6223, 539, 267, 610, 3116, 789, 616, 733, 27631, 547, 4872, 543, 14252, 1141, 519, 2489, 3044, 540, 13919, 543, 1876, 2616, 766, 267, 1851, 16543, 607, 1134, 607, 12075, 267, 568, 1970, 563, 11514, 2120, 547, 519, 2229, 781, 530, 1841, 786, 849, 23366, 1246, 1022, 3070, 540, 519, 1966, 799, 10714, 338, 547, 2015, 741, 17888, 6710, 543, 741, 22293, 540, 267, 543, 538, 23024, 1466, 538, 267, 6927, 540, 3959, 543, 4579, 543, 267, 8197, 267, 540, 4031, 543, 17864, 563, 763, 12075, 3502, 13575, 4521, 1652, 269, 1306, 513, 2489, 3948, 621, 949, 581, 1767, 602, 519, 12075, 616, 4708, 762, 267, 8778, 762, 2043, 267, 711, 20916, 547, 3479, 3978, 10963, 269, 901, 568, 3226, 3020, 540, 1346, 267, 945, 8497, 513, 1804, 2268, 540, 741, 17174, 1272, 543, 9821, 267, 2661, 6552, 689, 3043, 2950, 543, 723, 855, 2370, 2724, 547, 6108, 538, 16565, 519, 12743, 3753, 543, 642, 1182, 540, 519, 3043, 812, 269, 4634, 1851, 519, 12075, 540, 20274, 543, 4993, 267, 5702, 954, 332, 12089, 609, 519, 3043, 2551, 267, 972, 568, 2370, 267, 952, 1022, 267, 24255, 540, 10963, 540, 5208, 610, 540, 3978, 23563, 540, 519, 1857, 4708, 269, 634, 1657, 15028, 2489, 3074, 267, 2705, 267, 3112, 581, 1500, 7282, 1978, 1367, 12075, 269, 1452, 616, 3592, 2141, 1336, 1851, 12075, 945, 723, 8399, 539, 2484, 689, 17174, 1272, 543, 2081, 267, 543, 723, 15849, 23624, 513, 9645, 2179, 540, 2069, 543, 3043, 25654, 540, 1272, 269, 634, 15896, 540, 606, 4747, 6190, 547, 1450, 873, 547, 2611, 7329, 548, 855, 13385, 547, 14183, 741, 13821, 2306, 873, 27025, 30829, 543, 1854, 1529, 550, 269, 634, 11105, 3043, 10034, 543, 14252, 267, 1141, 789, 2356, 7249, 26021, 267, 723, 1970, 4441, 540, 26069, 543, 1931, 543, 13822, 513, 4057, 1604, 585, 513, 1004, 1175, 6932, 883, 519, 2797, 267, 2804, 267, 543, 1514, 1272, 540, 519, 942, 269, 634, 2069, 789, 723, 4607, 2306, 873, 26256, 714, 656, 540, 2250, 543, 1459, 4636, 338, 547, 741, 1004, 267, 540, 519, 16132, 540, 519, 1852, 799, 568, 27361, 936, 873, 676, 519, 8116, 2706, 23734, 550, 267, 543, 540, 519, 11758, 12302, 22027, 799, 17225, 2962, 676, 824, 1533, 543, 5313, 10492, 269, 634, 4356, 540, 24150, 547, 17174, 6392, 543, 547, 519, 2706, 23734, 550, 781, 10324, 9753, 568, 642, 4314, 532, 267, 543, 972, 568, 4986, 547, 5372, 621, 563, 763, 17148, 609, 21727, 547, 23582, 9534, 269, 19634, 940, 1346, 10963, 543, 3765, 12047, 6756, 832, 8149, 676, 12075, 267, 799, 616, 552, 1575, 1335, 12264, 17941, 5837, 1055, 1878, 267, 20286, 689, 3743, 2959, 723, 1831, 865, 3875, 602, 12014, 941, 5189, 538, 519, 2063, 6837, 547, 16185, 519, 3510, 269, 634, 1641, 540, 4095, 7365, 267, 16028, 267, 543, 1920, 1272, 568, 513, 6213, 835, 267, 15700, 5702, 519, 26756, 267, 9821, 267, 543, 4984, 540, 519, 4095, 5198, 269, 589, 6297, 2079, 786, 1397, 602, 972, 616, 2731, 1079, 11775, 547, 519, 1966, 269, 634, 1101, 2243, 568, 2436 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2668, 8971, 8987, 1911, 1822, 1822, 1822, 4917, 258, 476, 274, 28990, 494, 423, 355, 361, 14091, 356, 486, 30319, 10563, 377, 353, 423, 356, 486, 423, 354, 376, 10563, 364, 491, 424, 500, 368, 424, 352, 376, 422, 372, 364, 267, 14091, 370, 478, 425, 502, 372, 423, 493, 482, 14091, 370, 503, 27338, 422, 367, 510, 267, 10563, 508, 494, 423, 355, 379, 424, 486, 502, 29030, 503, 499, 423, 367, 368, 17432, 502, 422, 372, 364, 454, 258, 14091, 493, 486, 27338, 14091, 356, 492, 424, 506, 376, 423, 358, 368, 29030, 500, 487, 423, 367, 369, 17432, 502, 21498, 486, 422, 373, 490, 14091, 373, 486, 10563, 508, 494, 423, 355, 361, 32629, 498, 9745, 423, 350, 506, 10563, 365, 482, 424, 505, 490, 424, 352, 376, 422, 372, 364, 454, 2745, 2891, 346, 271, 281, 317, 283, 266, 1789, 267, 348, 2668, 8971, 263, 1911, 1822, 1822, 1822, 4917, 258, 10563, 484, 490, 424, 486, 502, 32510, 494, 10563, 370, 506, 423, 510, 354, 454, 2745, 2891, 346, 271, 281, 325, 348, 2668, 8971, 263, 276, 270, 274, 4917, 258, 10563, 484, 490, 424, 486, 502, 32510, 494, 29030, 488, 373, 32510, 499, 10563, 508, 494, 423, 355, 361, 424, 486, 502, 21844, 373, 490, 424, 356, 478, 423, 356, 490, 29030, 495, 506, 424, 489, 506, 630, 424, 484, 490, 424, 486, 502, 32510, 494, 476, 274, 424, 356, 372, 10563, 508, 494, 423, 355, 361, 29306, 494, 424, 482, 506, 14091, 364, 502, 424, 502, 361, 423, 355, 376, 994, 2745, 2891, 346, 271, 15545, 273, 325, 348, 2668, 8971, 263, 276, 270, 274, 11723, 0, 14079, 815, 703, 9272, 3890, 10142, 6112, 6936, 6769, 476, 952, 476, 3445, 27045, 3446, 10922, 1911, 6769, 8587, 1820, 2891, 288, 14744, 8587, 2736, 1477, 476, 8640, 476, 3199, 27045, 3446, 2999, 3445, 6769, 8587, 1820, 2891, 289, 14744, 8587, 2736, 1477, 476, 8640, 476, 3583, 27045, 3446, 2999, 3199, 6769, 8587, 1820, 2891, 290, 14744, 8587, 2736, 1477, 476, 8640, 476, 2568, 27045, 3446, 2999, 3583, 6769, 8587, 1820, 2891, 291, 14744, 8587, 2736, 1477, 476, 8640, 476, 271, 27045, 3446, 2999, 2568, 6769, 8587, 1820, 2891, 293, 14744, 8587, 2736, 1477, 476, 3116, 6769, 8587, 1820, 2891, 28990, 502, 423, 359, 375, 423, 494, 506, 21844, 364, 496, 14602, 482, 10563, 508, 483, 423, 510, 354, 425, 500, 486, 424, 488, 369, 21498, 486, 30319, 1701, 3418, 8587, 3446, 815, 703, 9272, 28829, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 333, 815, 3403, 10797, 604, 562, 2652, 476, 1556, 610, 562, 2652, 476, 1321, 610, 562, 2652, 476, 1724, 912, 825, 1820, 834, 628, 4840, 19197, 630, 333, 910, 476, 272, 264, 4939, 476, 1015, 2652, 476, 271, 912, 825, 1820, 834, 560, 4840, 19197, 630, 333, 910, 476, 273, 264, 4939, 476, 1015, 2652, 476, 271, 912, 825, 1820, 834, 526, 4840, 19197, 630, 333, 910, 476, 274, 264, 4939, 476, 1015, 2652, 476, 271, 912, 825, 1820, 834, 6113, 4840, 12828, 912, 825, 1820, 834, 628, 4840, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 338, 815, 6151, 17750, 4590, 328, 815, 476, 271, 454, 6112, 1775, 2999, 7003, 4433, 264, 543, 9497, 288, 257, 3436, 521, 5157, 316, 610, 521, 5157, 316, 3436, 834, 313, 257, 2187, 825, 1775, 6834, 476, 272, 692, 604, 1775, 2999, 7003, 4433, 2187, 825, 1820, 521, 5157, 3910, 1775, 454, 0, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5228, 28189, 269, 15035, 31200, 1104, 8298, 2065, 8802, 1833, 692, 12163, 17445, 25357, 18370, 1051, 2480, 1681, 11644, 454, 20701, 30221, 32470, 815, 19073, 18667, 318, 1410, 4897, 3488, 2889, 338, 1051, 2675, 1681, 327, 342, 11859, 3149, 343, 3299, 18178, 4900, 284, 273, 267, 562, 4900, 284, 1220, 994, 3835, 719, 32470, 815, 19073, 18667, 318, 1410, 4897, 3488, 2889, 338, 1051, 2675, 1681, 327, 342, 11859, 3149, 343, 3299, 18178, 4900, 284, 18684, 267, 562, 4900, 284, 4968, 2020, 344, 17601, 815, 5721, 32470, 21014, 3488, 344, 5073, 344, 17601, 815, 586, 17601, 269, 11161, 454, 311, 17601, 815, 5721, 32470, 269, 11161, 692, 344, 15305, 815, 3180, 719, 32470, 9131, 344, 23300, 344, 15305, 815, 586, 15305, 269, 11161, 454, 311, 15305, 815, 3180, 719, 32470, 7456, 665, 18020, 9625, 3835, 719, 32470, 31815, 8435, 18994, 514, 8443, 262, 344, 262, 8079, 6540, 743, 325, 815, 8298, 2065, 8802, 1833, 263, 5155, 531, 1399, 8782, 333, 821, 3299, 3193, 318, 3438, 284, 1911, 271, 1040, 7257, 11583, 17601, 267, 586, 17601, 9239, 258, 476, 272, 281, 634, 6060, 3830, 585, 512, 689, 519, 26848, 9695, 563, 2745, 263, 743, 325, 269, 5793, 1061, 318, 994, 2745, 5560, 1112, 18750, 760, 6025, 1778, 32470, 31815, 8435, 267, 804, 325, 16691, 1030, 318, 314, 271, 316, 4297, 2020, 258, 476, 273, 281, 5192, 17831, 543, 12740, 692, 3835, 719, 32470, 9131, 22238, 3809, 11172, 815, 7183, 454, 3835, 719, 32470, 9131, 22238, 3809, 11172, 815, 804, 325, 4877, 9438, 318, 2889, 9346, 11583, 15305, 264, 18020, 476, 272, 6540, 3835, 719, 32470, 9131, 337, 11172, 815, 3180, 719, 32470, 9131, 22238, 3809, 262, 6540, 11743, 815, 3180, 719, 32470, 9131, 337, 262, 4940, 11743, 4590, 3835, 719, 32470, 9131, 331, 3424, 11172, 815, 3180, 719, 32470, 269, 1952, 569, 10857, 10033, 1535, 281, 1535, 9131, 337, 11172, 270, 11743, 267, 7852, 284, 272, 9239, 258, 476, 274, 281, 476, 23037, 782, 519, 7606, 538, 519, 3180, 719, 1592, 538, 13302, 1931, 540, 12740, 607, 568, 2944, 538, 13472, 476, 1789, 563, 3835, 719, 5334, 9285, 32470, 815, 3180, 719, 32470, 31699, 28767, 263, 2421, 284, 9131, 331, 3424, 28710, 26799, 25716, 2020, 258, 476, 275, 281, 18140, 519, 7455, 585, 8589, 3210, 2557, 5288, 1297, 540, 1151, 7228, 725, 1500, 454, 10823, 31892, 2660, 17338, 263, 9792, 12759, 263, 3835, 719, 5334, 9285, 32470, 4297, 1070, 3180, 719, 5334, 9285, 32470, 9131, 337, 262, 7481, 10823, 20481, 30800, 258, 476, 276, 269, 8589, 1942, 4341, 2433, 533, 333, 3436, 1151, 545, 2787, 1942, 1315, 24054, 815, 476, 9965, 454, 3225, 640, 815, 476, 1789, 454, 322, 739, 815, 476, 1321, 692, 2381, 318, 22238, 815, 1942, 270, 3225, 640, 692, 11133, 815, 2040, 263, 3835, 719, 32470, 9131, 337, 11172, 3436, 1295, 318, 22238, 994, 2745, 16325, 9239, 258, 476, 277, 269, 595, 17026, 636, 331, 894, 2040, 2433, 3143, 5458, 4473, 1813, 547, 513, 1447, 3732, 543, 1447, 2333, 538, 454, 258, 519, 5506, 269, 18461, 602, 519, 10471, 1522, 581, 811, 7856, 538, 6476, 547, 519, 1483, 1158, 454, 3835, 719, 5334, 9285, 32470, 9131, 322, 636, 916, 636, 11172, 815, 3180, 719, 5334, 9285, 32470, 9131, 22238, 3809, 262, 4940, 322, 4548, 636, 4590, 3835, 719, 5334, 9285, 32470, 815, 3180, 719, 5334, 9285, 32470, 31699, 28767, 263, 2421, 284, 9131, 322, 636, 916, 636, 11172, 2020, 10823, 31892, 2660, 17338, 263, 9792, 12759, 263, 3835, 719, 5334, 9285, 32470, 4297, 1070, 3180, 719, 5334, 9285, 32470, 9131, 322, 636, 916, 636, 262, 7481, 10823, 20481, 30800, 258, 476, 278, 269, 946, 3908, 3761, 4341, 547, 15814, 476, 2412, 10833, 18092, 476, 5038, 1004, 454, 23251, 9084, 32470, 815, 3180, 719, 5334, 9285, 32470, 314, 3835, 719, 5334, 9285, 32470, 9131, 322, 636, 916, 636, 11172, 10922, 476, 2412, 2639, 2745, 5560, 626, 9084, 32470, 17482, 314, 271, 20285, 258, 476, 279, 269, 4530, 6111, 454, 258, 8111, 574, 2821, 13602, 454, 10823, 31892, 2660, 17338, 263, 9792, 12759, 263, 3835, 719, 5334, 9285, 32470, 4297, 1070, 3180, 719, 5334, 9285, 32470, 9131, 344, 262, 4940, 322, 4548, 636, 15405, 10823, 31892, 2660, 17338, 263, 9792, 12759, 263, 3835, 719, 5334, 9285, 32470, 4297, 1070, 3180, 719, 5334, 9285, 32470, 9131, 322, 636, 916, 636, 262, 7481, 10823, 20481, 10797, 7531, 0, 258, 14645, 630, 322, 264, 476, 1001, 279, 267, 18578, 344, 590, 2775, 269, 2353, 2924, 11603, 563, 258, 4959, 290, 17821, 630, 3041, 12710, 264, 910, 1294, 700, 2975, 2894, 10345, 3758, 585, 3877, 780, 5814, 535, 333, 332, 2255, 454, 5814, 556, 7531, 3698, 1205, 318, 3901, 2583, 9272, 338, 267, 3681, 2187, 825, 23288, 825, 3281, 4100, 1079, 8638, 780, 825, 1280, 1142, 6221, 538, 519, 1101, 1592, 649, 1294, 875, 1082, 3688, 538, 519, 2034, 1592, 454, 825, 6474, 910, 609, 5895, 6883, 610, 1297, 5542, 780, 825, 16849, 513, 24042, 1384, 825, 634, 1101, 3693, 540, 799, 568, 513, 1592, 540, 30455, 540, 519, 2034, 1592, 602, 519, 454, 825, 1101, 1592, 13292, 780, 825, 634, 2034, 568, 513, 1592, 540, 3688, 540, 519, 1101, 1592, 602, 8959, 547, 6474, 454, 825, 1996, 1022, 3688, 538, 519, 2034, 1592, 780, 825, 634, 3791, 568, 513, 1630, 18978, 602, 6920, 2436, 610, 711, 1022, 3688, 538, 454, 825, 519, 1101, 1592, 8959, 547, 6474, 609, 1022, 3688, 538, 519, 2034, 563, 825, 23288, 825, 13292, 815, 11713, 825, 23380, 815, 11713, 825, 8959, 815, 8771, 692, 825, 585, 1775, 538, 11378, 912, 1038, 1293, 815, 476, 271, 454, 1038, 2698, 815, 7003, 263, 9953, 687, 994, 1038, 585, 795, 538, 3681, 912, 2018, 4994, 815, 3681, 28827, 27203, 994, 2018, 1297, 815, 4994, 1341, 476, 272, 454, 2018, 1297, 815, 1193, 28840, 994, 2018, 556, 613, 343, 815, 535, 333, 332, 2255, 6745, 4920, 17218, 19304, 9217, 4297, 476, 1948, 6460, 5895, 338, 547, 556, 613, 343, 454, 2018, 952, 556, 6230, 2255, 263, 516, 613, 343, 267, 795, 264, 610, 556, 6230, 2255, 263, 516, 613, 343, 267, 1297, 2187, 3546, 13292, 6910, 263, 8161, 994, 2018, 3116, 912, 3546, 1293, 6834, 476, 272, 692, 1038, 1948, 952, 649, 8959, 547, 6474, 606, 3403, 1996, 1022, 540, 519, 3681, 563, 1038, 952, 1293, 2652, 2698, 912, 2018, 23380, 6910, 9217, 994, 2018, 8959, 815, 6936, 692, 825, 2132, 13292, 267, 23380, 267, 8959, 454, 0, 258, 476, 15836, 4905, 269, 29030, 481, 478, 14602, 376, 10563, 508, 354, 424, 489, 507, 423, 361, 376, 454, 258, 27705, 476, 272, 269, 14091, 493, 503, 32510, 479, 29030, 498, 482, 423, 350, 506, 422, 371, 372, 423, 508, 502, 423, 364, 491, 454, 258, 4179, 2517, 4178, 28482, 6193, 335, 322, 14492, 24579, 12378, 270, 15836, 4905, 454, 258, 14091, 358, 498, 423, 359, 357, 423, 355, 361, 10563, 480, 361, 424, 504, 358, 476, 27868, 10602, 22995, 454, 258, 10563, 489, 506, 32174, 482, 476, 5038, 20444, 692, 258, 10563, 504, 364, 424, 482, 510, 8870, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 423, 364, 505, 14602, 478, 29030, 505, 482, 715, 29306, 494, 10563, 510, 478, 28990, 354, 563, 301, 815, 703, 9272, 31156, 3698, 3070, 18217, 2187, 825, 1948, 10563, 368, 486, 422, 372, 364, 32174, 496, 4433, 1828, 263, 272, 264, 422, 367, 376, 3070, 263, 273, 4297, 14602, 478, 14091, 363, 372, 423, 355, 361, 21844, 369, 361, 17432, 368, 423, 495, 510, 563, 825, 952, 715, 2652, 476, 272, 912, 1038, 2132, 476, 275, 454, 825, 8640, 715, 2652, 476, 273, 912, 1038, 2132, 476, 277, 454, 825, 3116, 912, 1038, 1948, 715, 13843, 476, 274, 14602, 376, 14091, 499, 490, 454, 1038, 1948, 10563, 504, 364, 424, 482, 510, 10563, 369, 506, 424, 368, 486, 423, 350, 506, 10563, 356, 479, 32510, 482, 263, 2181, 341, 264, 424, 503, 478, 10563, 356, 479, 424, 356, 479, 32510, 482, 263, 2181, 2181, 341, 264, 14602, 502, 21844, 364, 496, 10563, 510, 478, 28990, 354, 454, 1038, 7173, 267, 840, 2181, 341, 815, 476, 277, 267, 476, 275, 454, 1038, 1948, 3097, 1038, 585, 1775, 538, 2039, 18217, 268, 273, 2187, 2018, 840, 2181, 341, 267, 7173, 815, 7173, 267, 7173, 1341, 840, 2181, 341, 454, 1038, 2132, 7173, 22562, 2745, 4433, 1828, 18217, 4297, 0, 5814, 942, 24653, 3698, 570, 545, 307, 665, 17653, 1807, 28399, 476, 1948, 9577, 602, 7024, 942, 3604, 1477, 476, 27764, 815, 476, 271, 19930, 1948, 3355, 942, 1477, 476, 23686, 815, 942, 28333, 3890, 1948, 3803, 942, 1477, 476, 1247, 6936, 6769, 825, 27764, 815, 23686, 1477, 825, 23686, 815, 942, 28333, 14052, 825, 6556, 630, 339, 325, 2389, 328, 264, 567, 1948, 14303, 5281, 519, 942, 3017, 5897, 307, 545, 307, 665, 815, 570, 545, 307, 665, 17653, 1807, 3890, 476, 1948, 22056, 606, 3236, 540, 519, 570, 545, 307 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7617, 1395, 657, 21839, 728, 814, 2965, 519, 6653, 652, 6492, 888, 306, 1075, 13427, 630, 14456, 4006, 264, 568, 519, 1486, 12111, 673, 1383, 540, 513, 6653, 6219, 16634, 14300, 540, 6653, 6878, 563, 2791, 616, 8384, 281, 6904, 1395, 657, 21839, 728, 568, 3743, 585, 519, 6653, 6492, 540, 4829, 454, 347, 10908, 26651, 1475, 12507, 657, 21839, 728, 1475, 271, 269, 10619, 1107, 476, 271, 269, 279, 2008, 26180, 28229, 1475, 12507, 657, 21839, 728, 1475, 272, 269, 1704, 1107, 476, 272, 269, 4037, 2008, 7617, 540, 519, 735, 2391, 609, 14836, 568, 5631, 3743, 1317, 602, 519, 6653, 6492, 602, 4829, 888, 306, 1075, 13427, 568, 513, 7623, 642, 835, 11140, 519, 7280, 524, 15772, 1836, 7923, 547, 835, 11140, 519, 535, 28229, 269, 2353, 5932, 540, 535, 28229, 267, 1519, 5613, 543, 23238, 267, 616, 4122, 3769, 547, 3536, 543, 849, 10425, 585, 5493, 520, 1464, 543, 6492, 19349, 267, 543, 585, 536, 20621, 540, 930, 3536, 267, 971, 1927, 19323, 5370, 563, 6701, 1395, 657, 30828, 6653, 6492, 888, 306, 11548, 512, 8463, 11950, 616, 29805, 14836, 269, 3933, 657, 30828, 630, 3697, 7280, 543, 849, 535, 28229, 264, 616, 1500, 909, 540, 835, 1770, 540, 2596, 4006, 13030, 17930, 267, 771, 21839, 728, 630, 3697, 28915, 846, 543, 849, 7319, 13427, 264, 568, 15538, 540, 540, 476, 273, 4559, 540, 2596, 14836, 269, 15380, 6340, 1395, 657, 30828, 543, 771, 30828, 616, 6653, 538, 6492, 563, 3963, 1685, 649, 4743, 6653, 888, 7197, 6653, 2389, 8463, 3536, 2270, 4006, 269, 634, 8445, 540, 519, 11469, 814, 2027, 8596, 1572, 968, 339, 4292, 19512, 892, 602, 3713, 4006, 543, 824, 2798, 538, 3536, 269, 1306, 4166, 607, 1022, 1106, 540, 4006, 18953, 519, 11469, 267, 6492, 19512, 6494, 513, 5365, 547, 519, 2634, 269, 8693, 519, 2247, 23465, 538, 513, 1505, 602, 649, 1745, 1927, 12257, 563, 3963, 1685, 14836, 6492, 6653, 888, 22134, 4088, 7554, 1063, 4006, 543, 7404, 6675, 4217, 547, 2697, 519, 1377, 519, 29284, 269, 590, 1872, 1513, 2230, 2219, 547, 28297, 707, 6653, 6492, 547, 519, 3877, 4806, 540, 7554, 602, 8444, 538, 8265, 6675, 1826, 609, 13805, 5946, 538, 6492, 19512, 563, 1692, 4163, 856, 596, 1449, 4006, 1317, 602, 29284, 888, 14722, 666, 2268, 6068, 835, 29284, 676, 5635, 519, 12939, 2418, 585, 1585, 2249, 540, 4006, 543, 4006, 31431, 269, 590, 1075, 13427, 267, 610, 3349, 4006, 267, 568, 519, 6492, 519, 1169, 812, 13402, 6653, 10273, 13290, 2097, 17932, 563, 3963, 14892, 1395, 657, 30828, 6492, 6653, 888, 2252, 3659, 25261, 621, 585, 1659, 327, 850, 267, 519, 2549, 2643, 848, 11747, 538, 707, 19975, 786, 6157, 5555, 29840, 519, 20566, 1318, 883, 3933, 657, 30828, 543, 849, 786, 6492, 6653, 269, 744, 5554, 657, 30828, 2230, 513, 2110, 5832, 540, 3933, 657, 30828, 267, 4782, 1018, 3659, 1131, 10625, 538, 10365, 563, 3963, 14892, 930, 3536, 6492, 6653, 2705, 723, 1360, 1507, 7280, 888, 12585, 281, 634, 3536, 602, 2230, 519, 11950, 267, 1775, 1917, 707, 533, 30972, 4744, 1539, 622, 1318, 883, 7280, 2097, 11166, 1648, 269, 2368, 540, 519, 3536, 1449, 8746, 585, 7280, 267, 2705, 267, 798, 711, 6492, 6653, 1317, 519, 936, 268, 532, 19263, 936, 335, 10183, 519, 6653, 6492, 267, 543, 891, 5820, 616, 1454, 1454, 811, 6793, 982, 519, 7280, 563, 3963, 2230, 588, 2117, 1127, 711, 6653, 888, 4322, 13364, 616, 29101, 11008, 2213, 1318, 883, 6653, 267, 11877, 267, 15280, 543, 849, 30644, 269, 744, 2720, 6653, 3146, 1061, 832, 17063, 547, 1808, 8677, 540, 6675, 267, 12077, 1395, 657, 30828, 543, 771, 30828, 269, 2717, 903, 30828, 616, 711, 1927, 6653, 2094, 789, 4163, 856, 711, 11593, 12622, 2097, 519, 6653, 3146, 1061, 832, 593, 23600, 11469, 267, 1927, 519, 1585, 824, 4130, 6675, 798, 2336, 3963, 20566, 568, 13820, 6804, 888, 4913, 23600, 6492, 19512, 723, 2965, 711, 27636, 547, 2631, 14121, 4292, 891, 1279, 11800, 1927, 968, 338, 11548, 892, 1317, 789, 616, 1175, 1932, 5458, 547, 3514, 883, 519, 6492, 13364, 269, 1924, 952, 596, 941, 547, 2322, 513, 6263, 3787, 602, 6986, 20566, 267, 3717, 8970, 560, 1105, 267, 593, 707, 11469, 621, 1131, 6157, 581, 13820, 6804, 547, 596, 563, 8450, 811, 281, 13772, 13379, 331, 14823, 674, 8543, 13690, 645, 758, 808, 5622, 9210, 476, 1724, 267, 13379, 331, 14823, 674, 8543, 13690, 645, 758, 808, 5622, 9210, 28964, 476, 1724, 454, 3674, 4222, 513, 13820, 6804, 888, 303, 675, 4222, 568, 513, 3043, 267, 13820, 6804, 543, 849, 17627, 1652, 8869, 602, 568, 1202, 20107, 538, 4411, 1216, 610, 4568, 269, 898, 5161, 540, 1079, 8677, 540, 6675, 281, 519, 5276, 543, 849, 927, 673, 26887, 846, 543, 519, 4839, 3481, 26887, 641, 24514, 269, 1234, 2391, 593, 519, 2030, 267, 4222, 3622, 3568, 476, 736, 2097, 476, 1839, 260, 26887, 846, 543, 849, 476, 4037, 2097, 476, 3199, 260, 26887, 641, 24514, 676, 2597, 269, 0, 2252, 596, 5781, 3576, 18909, 18767, 540, 513, 14418, 31494, 779, 2634, 585, 476, 1428, 1296, 267, 1018, 1131, 596, 1265, 888, 14722, 693, 519, 2160, 540, 16855, 5336, 611, 2581, 1705, 4010, 602, 269, 1358, 849, 1085, 10165, 476, 5611, 824, 1004, 779, 12058, 1282, 519, 1482, 1974, 269, 1879, 789, 3379, 519, 15454, 2339, 593, 782, 519, 19182, 3674, 267, 519, 31494, 779, 11542, 856, 281, 1010, 2634, 7902, 5216, 1296, 7820, 982, 1010, 4890, 2085, 2336, 3719, 1946, 286, 634, 3173, 3494, 519, 31494, 779, 2259, 540, 1199, 23550, 2443, 811, 982, 476, 2568, 267, 1822, 3108, 2429, 1010, 1272, 2443, 30281, 519, 10172, 1184, 538, 1010, 2634, 563, 2005, 779, 606, 10578, 4466, 602, 5267, 972, 779, 513, 3532, 1907, 547, 948, 20650, 2087, 741, 1134, 5630, 281, 11009, 563, 1432, 568, 11009, 888, 8469, 2787, 568, 1175, 835, 1259, 547, 26821, 11009, 269, 4340, 547, 519, 8225, 10076, 2657, 5948, 267, 968, 332, 785, 6888, 568, 3274, 606, 27592, 547, 1900, 856, 540, 519, 804, 13616, 543, 2731, 1445, 593, 1018, 649, 616, 3257, 267, 3206, 543, 4743, 538, 713, 4090, 1848, 6206, 2609, 540, 11009, 616, 912, 268, 29760, 593, 519, 1459, 5288, 269, 519, 2250, 610, 2104, 454, 268, 9796, 532, 3007, 547, 4835, 2609, 630, 324, 3052, 269, 938, 4555, 267, 4606, 267, 7362, 543, 15629, 17915, 994, 268, 23016, 547, 5007, 8102, 1218, 630, 324, 3052, 269, 24738, 267, 4992, 543, 17915, 538, 938, 1604, 264, 1510, 30411, 267, 4187, 610, 10385, 454, 16729, 891, 2853, 666, 948, 1004, 1745, 1447, 5855, 543, 26845, 269, 898, 666, 849, 948, 873, 1205, 538, 5905, 609, 741, 4664, 267, 1560, 543, 2168, 10450, 267, 5660, 1018, 789, 723, 543, 3398, 610, 2097, 547, 2474, 609, 7965, 3564, 741, 1852, 563, 21790, 6888, 585, 513, 2318, 2790, 543, 3929, 1533, 454, 13914, 827, 875, 3730, 1346, 1919, 1223, 581, 1282, 713, 6855, 2336, 16631, 5267, 11009, 1223, 581, 3226, 6225, 585, 519, 1895, 693, 5207, 1981, 1282, 519, 6855, 281, 20650, 563, 2690, 1383, 267, 835, 840, 1790, 663, 2438, 4603, 4951, 11009, 5280, 20650, 9907, 476, 2568, 547, 476, 11011, 2226, 513, 811, 2318, 2790, 543, 3929, 1533, 982, 1004, 9907, 476, 1839, 547, 476, 3374, 269, 4329, 1382, 814, 8612, 11009, 666, 5351, 20650, 609, 12536, 267, 2566, 267, 4965, 267, 3965, 543, 5042, 1599, 563, 2080, 779, 811, 593, 875, 9066, 543, 1079, 824, 2442, 11009, 2238, 267, 512, 2967, 16584, 543, 10649, 267, 666, 2087, 519, 2729, 540, 4587, 4079, 563, 8469, 2787, 568, 519, 957, 540, 19003, 856, 19240, 547, 1445, 707, 3007, 543, 9350, 707, 2247, 538, 513, 9602, 267, 17159, 1259, 269, 901, 3006, 3322, 912, 268, 2620, 7244, 454, 268, 5583, 630, 534, 14357, 9900, 5267, 2592, 267, 2022, 999, 610, 7244, 2553, 994, 268, 16051, 6652, 630, 6919, 610, 2453, 7368, 8231, 958, 610, 15508, 994, 5278, 2090, 723, 1336, 9066, 1256, 6971, 6553, 538, 519, 1560, 269, 12207, 2161, 713, 1239, 267, 13745, 609, 519, 1382, 593, 519, 31494, 779, 2634, 267, 1223, 3180, 9153, 585, 8396, 1154, 14715, 2152, 899, 12216, 779, 2068, 563, 2791, 4076, 4440, 2938, 20650, 538, 519, 6288, 3257, 512, 2967, 16584, 267, 513, 3126, 540, 3500, 267, 11419, 995, 5322, 2966, 547, 2087, 3666, 543, 2569, 2566, 269, 4340, 547, 2257, 267, 621, 1568, 2336, 19604, 10542, 2160, 3173, 2161, 512, 2967, 16584, 2337, 4587, 4079, 2226, 16757, 4222, 267, 2087, 2168, 5114, 942, 267, 32260, 2790, 1445, 543, 6521, 3007, 1063, 4247, 563, 288, 476, 1001, 278, 1353, 849, 1336, 602, 20650, 945, 1705, 512, 2967, 16584, 835, 547, 1614, 2053, 829, 3018, 11124, 476, 736, 547, 476, 2412, 829, 1298, 7864, 8813, 563, 12024, 512, 2967, 16584, 267, 10649, 568, 513, 1970, 27780, 716, 3635, 602, 779, 2404, 609, 9283, 538, 519, 1560, 607, 1134, 607, 519, 2247, 269, 1717, 267, 20650, 1058, 2015, 930, 1271, 3604, 1063, 519, 1079, 2238, 563, 268, 4014, 596, 666, 26821, 10649, 543, 512, 2967, 16584, 1247, 27206, 267, 512, 2967, 16584, 568, 1034, 4122, 2944, 7555, 563, 268, 18639, 666, 1331, 14084, 1524, 267, 19755, 267, 8757, 267, 15198, 543, 9054, 9934, 269, 12872, 16584, 5161, 5631, 540, 27789, 6186, 543, 1850, 20517, 1247, 538, 606, 20005, 2990, 563, 268, 12872, 16584, 5322, 616, 7683, 5714, 269, 18639, 7361, 13289, 689, 835, 11979, 10460, 547, 1776, 563, 268, 7354, 12542, 7680, 8373, 7555, 610, 3001, 1524, 547, 519, 6989, 543, 1394, 909, 1586, 1223, 1265, 10649, 4101, 563, 268, 1280, 20650, 609, 4049, 12263, 267, 512, 2967, 16584, 949, 581, 811, 19242, 982, 10649, 563, 268, 20226, 2161, 10649, 666, 2569, 2790, 2566, 267, 7794, 6091, 602, 1489, 519, 1394, 543, 8897, 1928, 538, 519, 1394, 543, 824, 608, 25063, 4525, 971, 607, 519, 8405, 563, 268, 12872, 16584, 554, 2158, 1983, 1031, 547, 3251, 20005, 267, 1519, 3666, 267, 1850, 4222, 267, 2790, 1445, 543, 4656, 540, 15629, 17915, 269, 0, 2026, 513, 1259, 547, 2253, 513, 1650, 267, 519, 2243, 540, 968, 8489, 892, 568, 1655, 4294, 952, 519, 10862, 540, 707, 1650, 2856, 568, 827, 513, 1747, 269, 769, 519, 1439, 267, 1169, 1650, 814, 513, 1747, 1141, 1945, 267, 28069, 267, 585, 930, 2601, 267, 5949, 547, 519, 1004, 621, 5949, 269, 1809, 10838, 782, 891, 2609, 267, 930, 1650, 2093, 6999, 547, 2263, 519, 17553, 540, 513, 1650, 607, 922, 1292, 10862, 269, 769, 971, 513, 9183, 267, 2253, 707, 1650, 609, 519, 2243, 968, 8489, 18313, 301, 5535, 532, 707, 1445, 547, 519, 968, 8489, 892, 540, 9255, 30816, 1650, 2856, 18715, 596, 1810, 1406, 6560, 609, 707, 4098, 563, 2691, 596, 723, 12943, 519, 2243, 540, 968, 8489, 892, 5265, 267, 596, 666, 3362, 2824, 519, 3800, 543, 10659, 540, 519, 6967, 2185, 2609, 630, 8005, 267, 1879, 267, 1548, 543, 4208, 264, 602, 1655, 3746, 1047, 519, 1445, 543, 10862, 540, 707, 1650, 1107, 634, 9255, 563, 7312, 1650, 2856, 3922, 3278, 968, 8489, 892, 630, 20278, 264, 1281, 711, 1611, 602, 596, 666, 1524, 2452, 519, 824, 2609, 269, 1323, 1898, 851, 540, 519, 1650, 17553, 568, 519, 9255, 543, 519, 5384, 540, 519, 2680, 269, 23994, 1831, 8076, 950, 596, 29596, 798, 5126, 547, 519, 824, 2609, 269, 901, 3860, 1603, 1883, 6663, 547, 948, 596, 2253, 513, 1650, 2856, 827, 513, 9255, 267, 711, 547, 6060, 519, 3693, 540, 17553, 607, 811, 1271, 982, 519, 1964, 563, 2108, 26780, 729, 513, 2749, 594, 1572, 1753, 2394, 594, 9310, 6276, 3034, 763, 5413, 540, 4098, 707, 1650, 609, 519, 1445, 540, 519, 2856, 568, 602, 621, 5012, 596, 538, 519, 8846, 540, 2219, 602, 1655, 4196, 602, 3483, 269, 769, 519, 1657, 1383, 267, 596, 786, 5469, 602, 707, 2067, 31007, 1131, 581, 547, 2995, 513, 1650, 540, 875, 707, 11537, 5507, 30403, 547, 581, 1753, 267, 610, 875, 621, 2968, 1753, 1586, 269, 0, 2304, 5117, 568, 513, 13664, 1858, 17929, 2371, 267, 2831, 267, 543, 824, 7103, 267, 543, 849, 4365, 543, 849, 8916, 267, 17163, 1927, 547, 2186, 513, 17891, 540, 1272, 563, 2791, 616, 8384, 281, 6904, 568, 519, 1034, 4977, 6609, 540, 606, 5117, 888, 289, 5735, 267, 17905, 267, 3618, 3163, 267, 25561, 1108, 267, 17323, 267, 1268, 17323, 267, 6323, 17323, 454, 2690, 519, 9096, 679, 9871, 14037, 7127, 642, 2923, 2200, 267, 3643, 281, 5291, 2517, 4178, 6983 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1383, 540, 6280, 540, 669, 8522, 7022, 267, 554, 8553, 1231, 267, 945, 844, 1080, 1603, 8164, 646, 7959, 602, 646, 568, 711, 1818, 10995, 4967, 563, 1911, 260, 1863, 4574, 593, 5635, 543, 4334, 1557, 3732, 3584, 267, 5037, 4367, 948, 267, 1382, 1299, 811, 1362, 476, 272, 268, 1321, 267, 1164, 1153, 1299, 2852, 269, 1703, 568, 849, 606, 1383, 5635, 543, 4334, 1557, 593, 519, 1888, 540, 2792, 2029, 267, 607, 1134, 607, 930, 5751, 547, 948, 596, 2259, 713, 1858, 513, 5635, 543, 4334, 1557, 4061, 5654, 693, 519, 10486, 540, 1079, 610, 811, 3615, 267, 543, 519, 3604, 269, 14424, 543, 4334, 1557, 5098, 1383, 281, 1247, 9640, 543, 18410, 30944, 723, 1082, 1919, 538, 1455, 621, 568, 741, 3604, 602, 3366, 547, 519, 29143, 1709, 540, 9640, 891, 3017, 948, 2491, 1946, 649, 6469, 622, 930, 2831, 543, 4734, 1866, 538, 519, 3552, 707, 1560, 9433, 786, 991, 547, 1683, 269, 24951, 543, 17804, 1018, 713, 30453, 568, 827, 543, 538, 930, 2665, 267, 6476, 270, 4186, 2858, 568, 1152, 851, 540, 519, 1557, 32503, 2253, 676, 9236, 543, 5924, 2015, 891, 1806, 267, 711, 6005, 519, 1893, 602, 568, 1031, 547, 2307, 585, 519, 6476, 270, 4186, 2858, 543, 2436, 519, 563, 24718, 543, 4334, 3594, 2154, 513, 2875, 547, 1491, 1079, 610, 811, 5396, 543, 20272, 873, 538, 2078, 547, 1142, 824, 543, 519, 3844, 6249, 1631, 1577, 781, 1491, 513, 1413, 693, 930, 5635, 543, 4334, 1557, 1806, 547, 4396, 1518, 707, 1702, 891, 723, 1044, 2854, 676, 938, 1283, 1557, 269, 0, 10214, 1354, 649, 9709, 938, 3643, 547, 5842, 17630, 267, 8776, 9445, 623, 1149, 1185, 1279, 9676, 1250, 9345, 269, 594, 2648, 3695, 3552, 267, 3768, 324, 975, 539, 2127, 543, 8776, 9445, 623, 1149, 568, 1175, 602, 1107, 476, 272, 267, 4335, 14143, 540, 2244, 602, 568, 7168, 1454, 607, 621, 729, 936, 519, 2250, 1906, 4627, 1296, 269, 2290, 991, 1152, 1413, 5087, 610, 5045, 689, 519, 15395, 779, 1082, 16752, 547, 1294, 23106, 540, 875, 8185, 5842, 17630, 814, 1044, 2919, 936, 519, 1296, 269, 769, 519, 15395, 267, 596, 666, 1294, 5065, 2371, 899, 519, 17535, 669, 1952, 541, 531, 267, 519, 8776, 9445, 25882, 630, 6518, 1152, 2291, 538, 713, 15395, 264, 543, 5195, 540, 796, 4944, 334, 6150, 17822, 543, 561, 6210, 976, 269, 5221, 8776, 9445, 623, 1149, 568, 513, 15395, 267, 6098, 585, 5726, 543, 711, 513, 6288, 267, 621, 11438, 2027, 3652, 543, 2175, 547, 2149, 519, 7226, 972, 269, 1403, 596, 723, 519, 4316, 547, 3643, 267, 5225, 2327, 596, 1174, 543, 1246, 519, 3652, 972, 563, 8170, 519, 476, 29344, 6753, 538, 519, 4993, 3557, 5244, 1062, 267, 1152, 476, 1691, 723, 15395, 4567, 543, 8776, 9445, 623, 1149, 568, 835, 540, 873, 563, 19185, 3345, 13966, 519, 1744, 648, 1467, 540, 8776, 9445, 623, 1149, 3557, 7849, 15944, 267, 476, 1001, 279, 454, 2026, 606, 4367, 267, 5310, 4687, 513, 3787, 540, 1686, 827, 519, 8776, 9445, 25882, 543, 519, 15944, 666, 1655, 581, 3144, 689, 519, 8776, 9445, 623, 1149, 9022, 550, 5980, 5680, 8525, 281, 630, 4462, 1652, 7150, 6382, 267, 713, 3778, 8791, 540, 519, 8776, 9445, 623, 1149, 3557, 7849, 15944, 2485, 362, 729, 2854, 676, 7225, 344, 5576, 592, 2006, 267, 570, 303, 9169, 9022, 550, 8094, 301, 5446, 540, 519, 8776, 9445, 25882, 454, 10303, 9240, 1407, 540, 4054, 941, 711, 1455, 2059, 519, 8828, 4993, 5032, 267, 2038, 5053, 17701, 630, 5611, 271, 268, 10204, 271, 5084, 264, 5219, 547, 713, 1858, 607, 623, 2863, 334, 632, 11968, 1488, 2513, 525, 267, 799, 12777, 1797, 968, 11592, 540, 19029, 1848, 1358, 1031, 713, 1858, 1312, 607, 513, 19506, 543, 607, 513, 9963, 602, 789, 941, 1932, 2673, 547, 519, 13272, 538, 519, 20893, 563, 1103, 476, 12293, 280, 267, 519, 5800, 7637, 4149, 518, 571, 29042, 30609, 819, 5293, 998, 7404, 29813, 1370, 334, 9503, 593, 922, 1259, 689, 5842, 17630, 547, 3935, 1125, 8053, 699, 344, 543, 3715, 13485, 2059, 519, 1259, 269, 634, 13009, 789, 1031, 568, 5219, 547, 607, 4432, 595, 3133, 334, 7464, 269, 634, 4054, 2933, 941, 5219, 547, 607, 3752, 539, 611, 623, 1149, 630, 22069, 3202, 623, 1149, 264, 676, 519, 1101, 1875, 9539, 894, 4892, 547, 3643, 519, 1858, 269, 634, 2012, 7283, 2394, 476, 6977, 271, 563, 763, 1101, 2413, 2272, 540, 519, 8776, 9445, 12566, 7018, 609, 519, 15646, 5446, 540, 519, 3529, 538, 476, 6977, 271, 269, 898, 729, 968, 334, 1553, 6053, 892, 4362, 676, 3220, 269, 8176, 18332, 3474, 787, 269, 901, 729, 519, 1032, 602, 4993, 2968, 513, 3557, 540, 519, 5742, 269, 3474, 787, 729, 538, 5842, 17630, 607, 7762, 534, 626, 585, 519, 2475, 5336, 1410, 4815, 21940, 776, 11752, 269, 634, 3483, 540, 519, 5619, 729, 547, 3313, 519, 6302, 1063, 6792, 543, 4993, 269, 3474, 787, 729, 513, 2564, 4387, 609, 606, 1719, 538, 7762, 1415, 281, 4481, 267, 1946, 2371, 8057, 1141, 789, 1705, 543, 875, 12075, 1031, 2371, 269, 901, 1858, 543, 519, 8776, 9445, 25882, 3529, 941, 4547, 547, 1010, 3007, 676, 1303, 558, 6048, 3220, 269, 3627, 2274, 1230, 974, 269, 3474, 787, 3957, 519, 3529, 585, 1010, 21927, 267, 3220, 269, 3627, 8776, 9445, 267, 540, 1715, 3840, 269, 8776, 9445, 729, 835, 540, 519, 3056, 7762, 534, 1235, 540, 1010, 942, 269, 1261, 1185, 1071, 22052, 23482, 589, 7579, 320, 540, 3345, 3013, 267, 543, 729, 519, 6852, 2278, 540, 589, 7579, 320, 540, 1715, 3840, 3557, 269, 10251, 267, 8776, 9445, 2760, 3357, 1934, 269, 1809, 3474, 787, 1705, 6494, 1864, 5439, 540, 5452, 267, 8371, 267, 543, 25862, 563, 28406, 532, 519, 8776, 9445, 25882, 454, 1103, 476, 6642, 274, 267, 3474, 787, 556, 23724, 1243, 519, 1858, 269, 5080, 1440, 2213, 693, 519, 3668, 540, 4027, 585, 519, 4054, 267, 646, 5206, 513, 3140, 543, 3621, 2272, 540, 519, 12566, 10771, 519, 991, 547, 2149, 519, 3529, 689, 608, 3410, 1588, 269, 901, 729, 4843, 547, 519, 5842, 17630, 5980, 540, 7849, 3778, 563, 763, 1101, 2707, 540, 4027, 3357, 538, 476, 6642, 276, 689, 519, 5842, 17630, 6019, 8274, 540, 8111, 6665, 832, 269, 1358, 11540, 4191, 19696, 513, 8007, 540, 1269, 1911, 585, 519, 31536, 542, 540, 4896, 642, 663, 531, 1944, 513, 8776, 9445, 12566, 3529, 563, 1607, 3801, 547, 2149, 519, 4054, 729, 18674, 676, 7762, 534, 626, 808, 269, 717, 269, 19748, 3000, 540, 519, 9241, 4646, 4993, 3557, 8274, 540, 32645, 269, 769, 476, 6642, 279, 267, 646, 6700, 602, 3617, 9086, 581, 32486, 547, 2149, 519, 3529, 269, 2334, 1482, 1032, 267, 519, 7793, 1664, 540, 519, 3529, 729, 8476, 676, 7762, 534, 626, 570, 269, 590, 269, 15952, 720, 324, 779, 6602, 540, 8776, 9445, 533, 1149, 593, 13244, 28266, 6816, 269, 11153, 6436, 723, 1044, 1305, 8521, 3843, 547, 2491, 519, 1079, 6763, 540, 4054, 930, 476, 11260, 5195, 6306, 269, 1452, 1331, 602, 4054, 941, 12630, 972, 689, 6177, 5323, 25940, 282, 602, 16767, 6410, 2244, 332, 13293, 936, 1279, 5712, 540, 942, 1813, 547, 6676, 23033, 9582, 282, 543, 602, 519, 4054, 941, 2899, 811, 4922, 3262, 2059, 519, 8828, 4993, 5032, 563, 1103, 476, 6245, 271, 267, 930, 533, 29301, 334, 3338, 538, 5842, 17630, 941, 682, 1078, 585, 12418, 543, 13265, 21737, 269, 901, 729, 538, 19220, 540, 2038, 21855, 585, 11091, 269, 769, 1931, 547, 2312, 519, 2244, 267, 4054, 941, 2759, 543, 688, 27968, 2476, 547, 581, 1031, 585, 3595, 6229, 269, 634, 1459, 8776, 9445, 623, 1149, 1858, 729, 3769, 538, 713, 25755, 563, 15307, 28344, 618, 540, 519, 8776, 9445, 25882, 5244, 454, 25324, 340, 12184, 676, 2749, 4651, 6723, 3057, 8725, 267, 7762, 534, 1235, 6424, 25350, 543, 5617, 773, 4911, 2401, 267, 519, 4975, 7027, 538, 476, 6245, 280, 5293, 606, 3921, 12099, 547, 1305, 11735, 476, 3607, 275, 14143, 540, 533, 29301, 334, 3338, 607, 513, 1857, 6288, 269, 10251, 267, 519, 3921, 12099, 1500, 1100, 14074, 585, 7863, 519, 3529, 563, 5475, 519, 2490, 540, 519, 2540, 267, 519, 3338, 4478, 519, 6288, 941, 538, 8594, 540, 1373, 20749, 4421, 269, 9737, 476, 5002, 279, 543, 476, 4489, 272, 267, 11356, 4807, 543, 24960, 626, 267, 31130, 645, 20621, 2480, 23774, 338, 267, 9715, 1079, 3606, 533, 29301, 334, 6266, 543, 786, 539, 873, 547, 519, 1004, 540, 5842, 17630, 269, 901, 3773, 547, 519, 6288, 519, 1858, 540, 3345, 717, 17311, 543, 519, 1609, 4231, 269, 1635, 519, 942, 1352, 5747, 538, 476, 4350, 273, 267, 7323, 2480, 23774, 338, 1185, 8329, 7494, 711, 1152, 547, 519, 10661, 540, 938, 6288, 267, 855, 849, 547, 519, 7849, 3778, 7467, 267, 2480, 23774, 338, 26323, 540, 7909, 2762, 267, 519, 25089, 267, 519, 5487, 808, 3326, 320, 4132, 27231, 685, 623, 944, 267, 543, 519, 2480, 23774, 338, 18669, 543, 3194, 9744, 563, 11847, 6974, 532, 519, 5842, 17630, 5980, 540, 7849, 3778, 543, 519, 5842, 17630, 7579, 531, 5948, 267, 24053, 18307, 2719, 543, 25453, 5681, 1676, 10272, 519, 6288, 538, 476, 4489, 277, 547, 2932, 27386, 2090, 269, 4256, 1867, 540, 3441, 3361, 676, 17552, 333, 1157, 619, 543, 3786, 619, 8507, 538, 1857, 1489, 585, 519, 11091, 540, 519, 1858, 269, 634, 3350, 729, 27490, 20243, 676, 7323, 2480, 23774, 338, 563, 1103, 476, 4572, 272, 267, 7323, 2480, 23774, 338, 543, 519, 4975, 5244, 8189, 12912, 24053, 18307, 2719, 607, 519, 1101, 8169, 617, 1014, 540, 519, 6288, 269, 589, 5449, 2067, 626, 543, 3338, 322, 1653, 267, 646, 2663, 4682, 593, 547, 1831, 519, 10588, 8111, 23734, 550, 585, 519, 3557, 5244, 3590, 538, 8828, 4993, 563, 1103, 476, 4572, 273, 267, 7323, 2480, 23774, 338, 17477, 25453, 26658, 267, 513, 1134, 1634, 5251, 4056, 267, 547, 2303, 513, 1279, 2165, 1544, 585, 519, 6288, 269, 3571, 1614, 12268, 1544, 1572, 585, 9993, 1996, 4657, 519, 3312, 5251, 610, 10962, 2371, 610, 2934, 711, 6805, 547, 519, 1858, 610, 936, 2275, 738, 22899, 519, 8776, 9445, 12566, 547, 519, 17181, 540, 1930, 5624, 269, 1107, 7225, 344, 5576, 592, 2006, 454, 307, 528, 9445, 623, 1149, 9995, 7723, 1849, 14554, 267, 476, 1001, 279, 454, 2691, 596, 12446, 547, 519, 15395, 267, 596, 616, 2016, 1079, 3681, 1107, 519, 1970, 4155, 610, 519, 1164, 4155, 269, 634, 1970, 4155, 786, 1491, 596, 547, 513, 18736, 1858, 1141, 596, 666, 1265, 1569, 547, 519, 11824, 18162, 267, 1247, 519, 1164, 4155, 786, 1491, 596, 909, 519, 14869, 15113, 630, 9767, 666, 30382, 909, 267, 952, 596, 2461, 865, 20916, 264, 547, 519, 561, 17690, 610, 513, 7008, 540, 3606, 18736, 2127, 269, 1306, 594, 11291, 267, 621, 729, 513, 1269, 1428, 269, 876, 13675, 13927, 1107, 513, 20476, 664, 267, 952, 596, 2307, 803, 563, 2171, 8359, 519, 1164, 4155, 267, 6288, 539, 519, 1286, 543, 554, 27419, 4724, 519, 32132, 269, 898, 729, 711, 606, 4998, 1554, 1107, 519, 7286, 4494, 729, 538, 1404, 543, 519, 3141, 18423, 856, 540, 8289, 585, 1034, 540, 519, 1554, 269, 2334, 5828, 856, 547, 513, 26460, 538, 24320, 1047, 607, 6505, 3141, 2306, 519, 4224, 21272, 513, 1360, 12779, 5835, 543, 666, 12404, 930, 540, 741, 3877, 269, 1306, 596, 666, 1294, 538, 519, 29384, 4605, 1657, 267, 519, 32498, 5552, 725, 616, 3833, 4190, 563, 763, 5784, 616, 8799, 855, 711, 8209, 25713, 15564, 25378, 269, 1717, 267, 952, 596, 2461, 513, 3787, 3461, 267, 596, 3580, 4166, 581, 30039, 609, 5393, 4277, 4224, 21272, 543, 540, 1576, 267, 8776, 9445, 623, 1149, 269, 8776, 9445, 25882, 4054, 616, 28103, 2421, 267, 1970, 533, 1149, 609, 23661, 804, 7927, 540, 1279, 19271, 543, 18114, 543, 8371, 602, 723, 5693, 1044, 8032, 676, 519, 4229, 540, 2470, 593, 519, 4993, 5032, 563, 299, 821, 8776, 9445, 25882, 543, 9995, 7723, 19725, 267, 476, 1001, 279, 454, 763, 4224, 21272, 616, 3833, 4277, 543, 9867, 269, 1411, 723, 519, 15254, 20672, 730, 10690, 32498, 267, 899, 519, 3239, 1657, 543, 596, 666, 849, 723, 1159, 2393, 1117, 4224, 21272, 609, 9475, 602, 723, 1044, 20077, 856, 543, 1159, 2393, 1117, 936, 519, 552, 976, 267, 607, 3254, 538, 519, 3239, 2630, 269, 634, 21272, 693, 8776, 9445, 623, 1149, 616, 24348, 7725, 543, 941, 4646, 607, 519, 24966 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8536, 8043, 829, 1032, 585, 20575, 543, 5835, 8611, 563, 3528, 476, 5002, 279, 267, 936, 476, 276, 267, 1822, 1004, 941, 1033, 7134, 538, 31741, 269, 21373, 1562, 941, 2366, 547, 8914, 519, 4299, 2127, 538, 18718, 1633, 543, 9496, 519, 25277, 267, 855, 519, 16701, 1709, 960, 729, 3908, 538, 922, 2039, 1317, 519, 3557, 8274, 540, 2657, 543, 519, 2136, 2276, 5398, 2657, 6796, 941, 1152, 28286, 1540, 827, 1269, 2568, 267, 1822, 513, 1032, 547, 30817, 519, 2068, 269, 4438, 713, 1974, 18718, 1633, 1705, 711, 723, 6190, 1072, 6703, 267, 865, 930, 540, 519, 7783, 2550, 941, 5701, 693, 1753, 282, 519, 3557, 8274, 540, 2657, 2059, 609, 18718, 1633, 15695, 13500, 547, 16425, 1867, 1022, 2665, 540, 7783, 2550, 269, 8616, 267, 538, 476, 4489, 280, 621, 1869, 8507, 538, 513, 1507, 15435, 540, 623, 12149, 4577, 20575, 799, 7166, 513, 18797, 1004, 538, 18718, 1633, 282, 713, 3323, 950, 513, 812, 7166, 513, 29160, 269, 2991, 4189, 519, 29160, 267, 646, 8593, 2192, 2185, 2395, 543, 1776, 7622, 4759, 26438, 519, 20575, 282, 713, 538, 2490, 729, 5293, 593, 2901, 18549, 547, 827, 513, 18797, 1866, 269, 634, 8387, 538, 18718, 1633, 19500, 676, 29307, 2669, 22783, 547, 6895, 519, 3262, 540, 20575, 269, 2311, 519, 942, 540, 25465, 538, 476, 6977, 273, 267, 18718, 17427, 454, 288, 2852, 1790, 516, 1706, 2218, 1153, 568, 513, 1826, 540, 6281, 1153, 269, 634, 2165, 666, 3277, 547, 1857, 267, 4357, 4830, 610, 1612, 5255, 658, 3506, 2966, 547, 5965, 1053, 585, 2362, 2069, 269, 769, 519, 2136, 2276, 267, 972, 616, 1857, 543, 22497, 2852, 4549, 2218, 3506, 543, 789, 666, 581, 2901, 1612, 5255, 658, 610, 16712, 269, 1520, 3939, 568, 3006, 1759, 593, 1808, 5542, 7355, 4081, 267, 855, 930, 3506, 723, 1930, 27350, 269, 23225, 518, 982, 476, 272, 260, 540, 1053, 19801, 538, 1153, 538, 519, 2136, 2276, 7390, 606, 4830, 267, 4357, 4549, 2218, 1153, 267, 3379, 547, 476, 280, 260, 945, 7390, 1612, 5255, 658, 3506, 543, 476, 6434, 260, 945, 7390, 1857, 3506, 269, 5398, 543, 22497, 2852, 4549, 2218, 3506, 616, 4448, 547, 513, 2199, 1153, 8664, 543, 2721, 689, 519, 3003, 8664, 3079, 540, 519, 14191, 1153, 7997, 282, 930, 2709, 7463, 6030, 610, 21195, 602, 5965, 1053, 585, 513, 1808, 2361, 540, 1353, 267, 1247, 1866, 946, 519, 6003, 607, 513, 30572, 1907, 1510, 5356, 3292, 602, 8428, 689, 513, 6671, 1164, 1153, 269, 634, 2165, 834, 2181, 335, 1153, 257, 538, 519, 772, 563, 306, 269, 568, 2404, 609, 4357, 267, 16918, 5238, 602, 723, 16496, 16075, 7355, 543, 1164, 24875, 12375, 269, 16721, 3506, 666, 581, 1554, 3506, 267, 27756, 3506, 267, 610, 1312, 267, 949, 581, 1071, 268, 14445, 1049, 610, 2582, 20967, 269, 4303, 3506, 616, 811, 1455, 982, 27756, 267, 2094, 519, 476, 3192, 271, 338, 1071, 268, 14445, 1049, 3506, 616, 811, 1455, 982, 2582, 20967, 269, 9521, 519, 1857, 3506, 799, 616, 1863, 267, 789, 5279, 24875, 282, 930, 3341, 3506, 616, 28337, 609, 513, 1880, 3909, 21000, 1588, 269, 9521, 1612, 5255, 658, 3506, 267, 4830, 4549, 2218, 3506, 616, 711, 18170, 676, 513, 3909, 3919, 267, 1053, 616, 711, 2838, 547, 4309, 6044, 538, 835, 1880, 4984, 269, 2755, 4830, 3341, 3506, 538, 519, 2136, 2276, 616, 711, 1641, 547, 2229, 23388, 610, 7939, 267, 789, 616, 26886, 676, 835, 540, 519, 3670, 6237, 20774, 2787, 8041, 585, 3872, 5238, 269, 769, 1034, 2694, 540, 2342, 267, 971, 607, 5125, 267, 519, 13814, 267, 5333, 543, 22778, 807, 267, 972, 616, 1533, 30845, 6281, 3506, 21751, 538, 6280, 1790, 516, 1706, 2218, 2069, 563, 4322, 979, 676, 1082, 4408, 4470, 593, 519, 2197, 855, 949, 581, 1572, 27590, 14901, 267, 693, 1156, 2801, 320, 267, 513, 11430, 576, 324, 610, 513, 561, 823, 334, 267, 4470, 593, 519, 4182, 269, 769, 5333, 267, 1978, 4357, 610, 1857, 6281, 3506, 2709, 2027, 2022, 29364, 776, 5049, 1572, 5049, 929, 2946, 1706, 6737, 2231, 267, 6697, 538, 1377, 547, 519, 1101, 1296, 540, 6280, 267, 585, 1053, 945, 6999, 547, 5965, 585, 519, 8013, 11400, 585, 519, 13675, 538, 519, 9835, 525, 20527, 322, 3421, 267, 20380, 10927, 3506, 269, 9521, 1977, 3341, 3506, 789, 2253, 1310, 1164, 17469, 22692, 282, 519, 1034, 4583, 3943, 5049, 929, 2946, 1706, 6737, 2231, 616, 24215, 14021, 543, 16496, 267, 2921, 1152, 519, 1655, 1053, 4271, 908, 689, 1164, 3506, 855, 711, 12123, 12375, 269, 1306, 513, 1267, 267, 476, 3445, 260, 540, 519, 1053, 538, 519, 3621, 5049, 929, 2946, 1706, 6737, 2231, 1831, 8030, 610, 3744, 269, 4400, 1153, 20021, 602, 23297, 547, 7390, 513, 804, 21692, 929, 2946, 1706, 6737, 790, 723, 519, 3903, 1063, 476, 274, 1292, 19593, 592, 4548, 281, 3163, 543, 16445, 1155, 269, 1677, 2744, 16075, 883, 4702, 610, 1870, 6264, 525, 20527, 322, 3421, 269, 589, 717, 2096, 19063, 1756, 568, 513, 1880, 1826, 540, 1153, 538, 5125, 543, 824, 2477, 538, 2342, 267, 609, 519, 3804, 547, 5965, 922, 10453, 547, 4283, 513, 6280, 563, 30051, 781, 9510, 717, 2096, 19063, 1329, 1331, 717, 2096, 19063, 1756, 6754, 25177, 267, 717, 2096, 19063, 1756, 23323, 20187, 636, 543, 717, 2096, 19063, 1756, 8349, 25177, 269, 769, 7977, 267, 972, 616, 1896, 5686, 540, 1164, 3506, 267, 1312, 1857, 543, 4357, 267, 4171, 6437, 814, 607, 513, 3119, 2832, 519, 7041, 585, 6280, 282, 891, 616, 1572, 834, 299, 823, 334, 2580, 12683, 834, 299, 823, 328, 2668, 634, 2012, 2501, 689, 834, 299, 344, 576, 636, 2580, 519, 5824, 17021, 540, 519, 9147, 5259, 3852, 505, 395, 491, 24681, 15770, 15403, 14267, 14832, 267, 519, 2012, 540, 513, 15547, 19063, 1756, 538, 18190, 18603, 6131, 547, 21011, 10370, 576, 639, 282, 713, 3312, 10370, 576, 636, 568, 15422, 607, 519, 4087, 540, 519, 829, 760, 520, 2045, 1153, 540, 17127, 269, 19402, 476, 3422, 280, 267, 519, 700, 823, 334, 4147, 4815, 729, 519, 1152, 6281, 2069, 3950, 602, 4847, 513, 2875, 1569, 547, 1022, 2186, 540, 7969, 6280, 267, 1247, 824, 6281, 2069, 13475, 4847, 1152, 513, 11658, 1569, 2619, 269, 1703, 616, 2185, 1292, 2010, 540, 700, 823, 334, 281, 700, 823, 334, 4147, 4815, 267, 700, 823, 334, 11660, 334, 267, 700, 823, 334, 3203, 2065, 334, 630, 325, 1371, 532, 593, 7499, 5396, 607, 3203, 3778, 543, 14301, 543, 700, 823, 334, 23008, 2065, 334, 269, 4033, 2186, 540, 1164, 3506, 5219, 547, 607, 834, 23855, 673, 32112, 257, 2709, 519, 7872, 547, 12492, 6280, 1310, 22692, 267, 4352, 789, 1106, 1053, 547, 723, 930, 2186, 540, 3318, 17053, 1310, 22692, 563, 1103, 519, 13814, 267, 519, 4013, 16166, 568, 642, 3233, 321, 699, 573, 754, 6632, 839, 577, 1952, 601, 6359, 330, 593, 1457, 342, 6359, 338, 2495, 834, 2181, 1706, 2218, 4081, 2069, 2668, 634, 642, 6851, 568, 5258, 883, 519, 15547, 19063, 1756, 282, 891, 616, 9838, 538, 8653, 543, 1377, 540, 2069, 267, 4849, 602, 519, 15547, 19063, 1756, 2882, 5824, 543, 9147, 5259, 607, 25471, 5396, 538, 519, 1101, 1906, 1296, 267, 513, 20194, 1590, 1331, 693, 2547, 835, 540, 891, 8106, 4654, 538, 1010, 3803, 11400, 269, 769, 519, 13814, 267, 2069, 568, 1533, 14102, 585, 1312, 2027, 3506, 269, 769, 519, 30355, 752, 6243, 267, 27590, 5451, 345, 1756, 568, 835, 540, 519, 1153, 2010, 3246, 6281, 2069, 602, 5012, 547, 519, 1319, 584, 7534, 981, 267, 513, 32563, 585, 2362, 2069, 269, 717, 2096, 333, 5451, 345, 1756, 338, 454, 293, 1042, 15104, 4521, 9986, 332, 23264, 454, 293, 1042, 15104, 4521, 9986, 332, 23264, 729, 606, 1977, 5251, 4056, 267, 1514, 10404, 267, 1857, 23070, 269, 1261, 568, 2442, 569, 2808, 547, 581, 519, 4651, 540, 1977, 5251, 6189, 269, 9986, 332, 23264, 729, 4583, 585, 1071, 17393, 793, 532, 1082, 1134, 8153, 4683, 11614, 609, 1010, 9972, 7649, 2836, 3200, 966, 14513, 267, 1519, 6239, 5244, 538, 1715, 3840, 4975, 543, 27974, 19789, 14575, 5244, 538, 570, 1370, 517, 269, 4033, 3785, 602, 9986, 332, 23264, 729, 3238, 538, 1331, 519, 2197, 781, 1101, 543, 9510, 20291, 1062, 540, 1857, 11614, 543, 6288, 1811, 538, 30159, 267, 1715, 3840, 269, 769, 9628, 1010, 3785, 1331, 281, 12722, 5244, 269, 769, 6115, 267, 667, 269, 595, 269, 646, 5249, 593, 519, 5251, 4478, 519, 2136, 2276, 7167, 20738, 2679, 269, 634, 2298, 540, 9986, 332, 23264, 781, 5251, 6189, 729, 6444, 676, 1010, 29629, 2456, 267, 945, 1397, 1229, 1864, 609, 20380, 862, 3827, 269, 12253, 22210, 5069, 1767, 540, 1864, 267, 834, 3891, 19267, 609, 3574, 539, 19527, 267, 1010, 960, 538, 6239, 5244, 538, 1715, 3840, 4975, 267, 1305, 513, 3044, 540, 17284, 602, 5170, 547, 3310, 5251, 6189, 538, 519, 2136, 2276, 269, 1261, 729, 606, 2038, 543, 1271, 19191, 538, 519, 5726, 3350, 267, 1519, 960, 693, 15281, 698, 4673, 22484, 563, 302, 27476, 23264, 729, 4535, 538, 19134, 5112, 267, 21086, 267, 593, 4989, 476, 2918, 267, 476, 9264, 273, 269, 3571, 4651, 267, 3627, 9986, 332, 23264, 267, 729, 513, 25133, 21471, 945, 3576, 513, 18512, 1719, 538, 2470, 543, 4025, 267, 1010, 3993, 267, 23770, 4521, 9986, 332, 23264, 267, 5747, 1354, 1010, 8772, 14512, 269, 3571, 4651, 1121, 541, 3072, 538, 476, 9264, 278, 547, 6307, 7788, 18409, 267, 945, 3838, 1200, 9393, 781, 2178, 2648, 540, 2470, 543, 1185, 513, 811, 16916, 6492, 282, 950, 519, 1762, 9986, 332, 23264, 729, 4712, 547, 4283, 23171, 5441, 267, 2040, 659, 15464, 18604, 1010, 4064, 267, 865, 646, 5795, 909, 2852, 4566, 269, 2991, 2324, 607, 606, 22961, 823, 9378, 534, 543, 19784, 267, 9986, 332, 23264, 12306, 593, 513, 476, 10219, 14092, 516, 3484, 538, 5130, 476, 7277, 279, 593, 519, 5045, 13272, 540, 6465, 523, 6816, 12924, 267, 513, 3484, 799, 1010, 4651, 5280, 1864, 10536, 282, 713, 3484, 3957, 519, 589, 12027, 569, 13067, 652, 1737, 267, 729, 26948, 570, 657, 558, 1442, 12426, 676, 9986, 332, 23264, 269, 898, 729, 26948, 834, 763, 28418, 540, 1488, 6577, 257, 676, 8227, 661, 2858, 639, 654, 27332, 269, 2201, 4873, 476, 1724, 267, 476, 6977, 280, 267, 9986, 332, 23264, 9310, 519, 30612, 540, 1010, 7015, 3627, 269, 12253, 674, 1177, 322, 9116, 570, 22044, 2335, 267, 519, 25650, 540, 1715, 3840, 267, 6815, 7007, 519, 16806, 267, 646, 7550, 3627, 8176, 9986, 332, 23264, 267, 23770, 9986, 332, 23264, 543, 32139, 9986, 332, 23264, 269, 19291, 543, 6307, 1185, 1079, 1453, 1927, 945, 15068, 26638, 281, 513, 8250, 267, 513, 5067, 19291, 4521, 9986, 332, 23264, 12789, 563, 19853, 1101, 1126, 267, 3627, 31187, 9986, 332, 23264, 267, 729, 4535, 593, 4873, 476, 1724, 267, 476, 5908, 271, 267, 5747, 538, 26638, 269, 9986, 332, 23264, 1185, 513, 1713, 4876, 538, 19761, 269, 769, 476, 6977, 271, 646, 14612, 547, 4789, 547, 3643, 1857, 10651, 267, 1141, 646, 729, 24330, 676, 9478, 14529, 868, 517, 781, 21960, 5287, 3650, 5244, 267, 646, 13604, 5206, 543, 3370, 9546, 802, 543, 13669, 802, 540, 606, 1977, 10787, 1067, 538, 4789, 538, 476, 6977, 273, 269, 901, 6462, 1010, 3478, 3606, 960, 269, 9314, 539, 538, 519, 10553, 4346, 267, 646, 729, 20827, 676, 519, 1715, 3840, 11545, 8648, 547, 7832, 593, 606, 3573, 1382, 3460, 998, 519, 1977, 3162, 543, 7147, 689, 476, 6977, 273, 547, 476, 6977, 278, 267, 1010, 771, 6312, 2583, 547, 519, 8648, 941, 6394, 883, 1614, 12531, 799, 2611, 12667, 1101, 16512, 1514, 6054, 540, 519, 840, 21351, 3162, 269, 589, 835, 31891, 705, 5090, 8540, 543, 4112, 32590, 538, 519, 29158, 8003, 267, 729, 3370, 1282, 519, 1101, 3670, 3275, 540, 519, 1977, 6406, 2782, 693, 519, 19583, 540, 9986, 332, 23264, 781, 2296, 17404, 269, 1677, 713, 646, 5206, 513, 1007, 4367, 538, 799, 646, 7150, 12799, 1010, 5784, 593, 519, 1198, 540, 8474, 593, 519, 4346, 543, 1514, 2175, 540, 519, 7013, 2829, 563, 7069, 1378, 8343, 540, 519, 1483, 2783, 540, 519, 1004, 540, 938, 32013, 2276, 267, 5795, 803, 1862, 606, 12705, 602, 519, 10412, 26771, 538, 930, 1259, 1705, 873, 811, 2800, 982, 1434, 269, 1261, 11130, 602, 8474, 1185, 1500, 519, 10553, 2829, 28537, 543, 18807, 1312, 17215, 543, 13998, 282, 519, 12434, 540, 8474, 8593, 547, 1100, 811, 982, 476, 279, 267, 1822, 5411, 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 ]
[ 25622, 476, 476, 13213, 511, 28786, 567, 1477, 825, 1219, 6449, 3438, 9191, 1345, 8029, 1038, 10518, 815, 1496, 15947, 1038, 6843, 815, 1582, 269, 10174, 1477, 1038, 1247, 6843, 610, 10518, 6769, 2018, 1247, 6843, 6769, 3546, 6556, 6843, 22183, 1477, 3546, 10518, 6910, 27316, 3418, 3546, 6843, 815, 6843, 16000, 1477, 2018, 6843, 815, 10518, 21014, 14061, 2431, 1477, 1363, 1477, 825, 12693, 12571, 492, 31365, 421, 479, 491, 31308, 484, 28997, 501, 25622, 476, 13213, 511, 28786, 1477, 825, 1219, 6449, 3438, 9191, 1345, 8029, 1038, 10518, 815, 1496, 1345, 269, 10174, 15947, 1038, 10518, 273, 815, 1496, 15947, 1038, 1247, 7003, 263, 23637, 264, 285, 271, 6769, 2018, 6843, 815, 10518, 21014, 14052, 2018, 10518, 273, 6910, 27316, 3418, 2018, 952, 6843, 16000, 6769, 3546, 10518, 6910, 27316, 16000, 3418, 2018, 952, 6843, 16192, 6769, 3546, 10518, 6910, 27316, 16192, 3418, 1038, 1247, 10518, 273, 6769, 2018, 6556, 10518, 273, 21014, 14061, 1998, 1477, 17264, 1477, 17264, 1477, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 561, 529, 815, 1496, 7830, 267, 6812, 267, 6434, 267, 4366, 267, 10463, 267, 4200, 267, 3374, 267, 7906, 267, 11152, 267, 3066, 267, 7906, 267, 4391, 267, 5392, 267, 6321, 267, 3607, 267, 2004, 15947, 825, 536, 338, 4671, 872, 815, 23030, 31374, 21698, 14052, 825, 585, 1775, 538, 561, 529, 6769, 1038, 536, 338, 4671, 872, 27044, 9217, 3418, 825, 536, 338, 4671, 872, 19709, 8541, 263, 6812, 3418, 825, 585, 1775, 538, 536, 338, 4671, 872, 281, 567, 12361, 16533, 484, 2125, 4671, 872, 28098, 420, 365, 350, 30853, 20992, 13213, 511, 28786, 417, 503, 357, 12916, 379, 17958, 1477, 1038, 1820, 9217, 267, 754, 6889, 834, 3418, 1363, 1477, 2162, 417, 497, 486, 27747, 490, 418, 509, 354, 19867, 378, 2162, 1477, 2162, 417, 497, 486, 27747, 490, 16583, 30936, 8147, 16533, 484, 421, 506, 478, 28884, 418, 509, 354, 19867, 378, 7511, 29219, 28786, 24662, 417, 497, 486, 27747, 490, 16583, 30936, 8147, 23523, 501, 28996, 417, 497, 486, 27747, 490, 29219, 12486, 418, 490, 487, 417, 497, 486, 27747, 490, 29219, 30853, 20992, 418, 352, 478, 27381, 351, 13213, 505, 27310, 418, 509, 354, 19867, 378, 1477, 18851, 1477, 28997, 501, 25622, 418, 369, 479, 31801, 489, 5897, 7987, 478, 7987, 478, 272, 24724, 17958, 14756, 503, 27936, 7511, 417, 497, 486, 27747, 490, 16583, 30936, 22909, 482, 20881, 510, 417, 497, 486, 27747, 490, 23989, 5405, 505, 1477, 7987, 478, 7987, 478, 273, 24724, 21550, 373, 29004, 362, 20881, 487, 418, 489, 358, 7511, 19540, 366, 419, 359, 479, 14035, 482, 419, 494, 484, 25913, 25622, 25335, 352, 19540, 367, 17295, 364, 417, 507, 478, 19540, 366, 419, 359, 479, 5405, 505, 1477, 7987, 478, 7987, 478, 7987, 478, 7987, 478, 13127, 372, 372, 25335, 479, 7511, 25335, 352, 19540, 367, 19540, 366, 419, 359, 479, 7511, 25913, 25622, 16088, 418, 489, 487, 421, 497, 378, 25622, 25520, 419, 374, 379, 26233, 356, 26406, 351, 418, 369, 489, 25622, 12486, 1477, 7987, 478, 7987, 478, 274, 24724, 21928, 417, 497, 486, 27747, 490, 23989, 7511, 417, 509, 374, 419, 350, 478, 31968, 19867, 356, 27310, 417, 497, 486, 27747, 490, 418, 509, 354, 19867, 378, 12486, 1477, 18851, 1477, 5035, 25300, 8368, 6769, 476, 1219, 6449, 8181, 9191, 1345, 267, 2450, 8029, 825, 1582, 4318, 12661, 815, 1496, 14085, 585, 1775, 538, 2039, 4433, 1125, 13580, 1948, 476, 12916, 379, 17958, 4289, 12255, 29004, 362, 14756, 497, 22909, 482, 30853, 20992, 417, 497, 486, 27747, 490, 23989, 30317, 27381, 510, 32517, 507, 11858, 502, 25913, 25622, 1477, 825, 1582, 29644, 815, 2450, 1948, 476, 31006, 27962, 23989, 421, 499, 379, 1477, 21506, 476, 1219, 19474, 4311, 267, 1883, 8029, 825, 2132, 1883, 4939, 1582, 29644, 1948, 476, 10533, 352, 28578, 16583, 30936, 19404, 485, 17958, 30522, 353, 419, 499, 503, 12916, 503, 12255, 25622, 1477, 21506, 476, 1219, 7696, 20189, 1662, 4311, 267, 1883, 8029, 825, 5727, 418, 493, 496, 24662, 10429, 367, 421, 498, 362, 21211, 28996, 417, 497, 486, 27747, 490, 23989, 19540, 483, 18851, 1477, 825, 2232, 815, 1582, 19544, 1662, 31107, 264, 1948, 17276, 365, 480, 10533, 352, 28578, 17295, 364, 417, 507, 478, 1477, 825, 1247, 1582, 4318, 12661, 314, 5417, 816, 13912, 1948, 13127, 377, 497, 31176, 491, 12916, 491, 419, 377, 362, 26266, 366, 14756, 493, 20069, 12255, 29004, 362, 29072, 8147, 9463, 495, 13200, 509, 19540, 366, 419, 359, 479, 12486, 1477, 8587, 2232, 815, 630, 5417, 816, 266, 272, 264, 4939, 1582, 29644, 1948, 22614, 374, 379, 26233, 356, 26406, 351, 418, 369, 489, 31284, 13601, 17295, 364, 417, 507, 478, 15159, 12571, 355, 23746, 17958, 1477, 825, 1582, 4318, 12661, 314, 5417, 816, 316, 815, 1883, 1948, 17276, 366, 350, 20069, 19540, 366, 419, 359, 479, 10254, 503, 25203, 368, 26406, 354, 32517, 507, 11858, 502, 12486, 1477, 21506, 476, 1219, 3406, 20189, 1662, 4311, 267, 1883, 8029, 825, 5727, 418, 509, 354, 19867, 378, 10429, 367, 421, 498, 362, 21211, 8147, 13213, 498, 18713, 508, 27747, 481, 16533, 498, 29219, 18851, 1477, 825, 5182, 815, 2232, 815, 1582, 19544, 1662, 31107, 3418, 825, 1247, 1582, 4318, 12661, 314, 5417, 816, 316, 11203, 1883, 6769, 8587, 2232, 815, 630, 5417, 816, 1341, 476, 272, 264, 4939, 1582, 29644, 1477, 8587, 952, 711, 1582, 4318, 12661, 314, 5417, 816, 316, 610, 2232, 2652, 5182, 281, 1948, 476, 13644, 368, 13107, 492, 418, 366, 350, 19867, 378, 28996, 16043, 500, 26033, 483, 23523, 359, 27064, 363, 28996, 29072, 19764, 478, 417, 356, 489, 7511, 12916, 491, 419, 377, 362, 1477, 1038, 2132, 8771, 1477, 825, 2132, 6936, 1477, 21506, 21506, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 476, 1592, 19963, 815, 1496, 1321, 267, 476, 6858, 267, 476, 6321, 267, 476, 1626, 267, 476, 1839, 267, 476, 4391, 267, 476, 2420, 267, 476, 3066, 267, 476, 1428, 267, 476, 5325, 267, 476, 4366, 267, 476, 4097, 15947, 476, 19474, 4671, 762, 815, 25300, 8368, 263, 1321, 3418, 476, 585, 1775, 538, 1592, 19963, 6769, 825, 19474, 4671, 762, 27044, 20189, 1662, 9217, 3418, 21506, 476, 585, 1775, 538, 19474, 4671, 762, 4318, 12661, 6769, 825, 952, 1775, 6769, 8587, 1820, 9230, 328, 267, 19474, 4671, 762, 4318, 12661, 28827, 9217, 24270, 1439, 6889, 834, 3418, 476, 1820, 19629, 333, 14744, 21506, 476, 1820, 22607, 1662, 4671, 762, 269, 14142, 20189, 1662, 263, 1428, 17903, 476, 1820, 22607, 1662, 4671, 762, 269, 14142, 20189, 1662, 263, 3451, 17903, 567, 1477, 567, 1477, 18851, 16141, 354, 419, 510, 479, 419, 511, 487, 25203, 372, 10429, 367, 18777, 350, 28997, 501, 18851, 1477, 5035, 8827, 6769, 825, 1219, 7089, 8170, 272, 4311, 267, 562, 8029, 1038, 1948, 2328, 3009, 1934, 1477, 1038, 20735, 815, 476, 271, 1477, 1038, 952, 562, 283, 271, 6769, 2018, 562, 815, 562, 1299, 476, 271, 343, 742, 742, 742, 742, 1477, 1038, 1247, 562, 6769, 2018, 20735, 6834, 562, 1299, 476, 272, 1477, 2018, 562, 23645, 284, 476, 272, 1477, 1038, 2132, 20735, 5897, 5035, 8827, 6769, 825, 1219, 7089, 8170, 272, 4311, 267, 562, 8029, 1038, 1219, 1187, 6025, 8029, 2018, 10917, 815, 1496, 15947, 2018, 1247, 512, 285, 271, 6769, 3546, 10917, 6910, 6025, 260, 273, 3418, 3546, 512, 815, 512, 2260, 273, 1477, 2018, 2132, 10917, 1477, 1038, 952, 562, 2652, 476, 271, 6769, 2018, 2132, 476, 271, 1477, 1038, 8640, 562, 3436, 271, 6769, 2018, 2132, 2040, 6600, 684, 3799, 17903, 1038, 3116, 6769, 2018, 32102, 815, 1187, 263, 11274, 3799, 17903, 2018, 952, 7003, 10857, 560, 264, 285, 4029, 6769, 3546, 32102, 815, 32102, 11468, 4029, 15947, 2018, 952, 7003, 10857, 560, 264, 283, 4029, 6769, 3546, 32102, 284, 331, 560, 266, 314, 271, 316, 16732, 4029, 2000, 523, 10857, 560, 17903, 2018, 32102, 815, 1496, 272, 952, 1775, 2525, 271, 3116, 476, 271, 585, 1775, 538, 32102, 15947, 2018, 10917, 815, 476, 272, 1477, 2018, 585, 1775, 538, 2039, 12759, 10857, 560, 264, 8029, 3546, 32102, 5157, 316, 815, 10917, 266, 331, 560, 5157, 15947, 3546, 10917, 815, 32102, 5157, 316, 2260, 273, 1477, 3546, 32102, 5157, 316, 260, 284, 273, 1477, 2018, 2132, 2040, 10857, 560, 11924, 272, 1477, 0, 3698, 5542, 5334, 677, 19906, 2187, 825, 585, 1775, 538, 2039, 12759, 19906, 264, 910, 476, 272, 2187, 1038, 1295, 16229, 815, 1775, 454, 1038, 585, 795, 538, 2039, 9217, 267, 7003, 19906, 15892, 2018, 952, 2855, 14728, 316, 2999, 2855, 314, 2381, 16229, 14158, 3546, 1295, 16229, 815, 795, 692, 1038, 952, 1295, 16229, 11203, 1775, 912, 2018, 2855, 5157, 3910, 2855, 314, 2381, 16229, 316, 815, 2855, 314, 2381, 16229, 3910, 2855, 5157, 6540, 825, 2132, 2855, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 2855, 815, 1496, 273, 267, 476, 1015, 267, 476, 276, 267, 476, 272, 267, 476, 279, 267, 476, 280, 267, 476, 277, 267, 476, 275, 267, 476, 278, 267, 476, 274, 2639, 825, 1820, 263, 572, 3005, 5334, 677, 19906, 4917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23958, 5004, 23670, 3827, 4530, 630, 29479, 1070, 621, 568, 1898, 547, 1174, 1883, 6310, 2035, 8499, 269, 901, 3184, 786, 1445, 4481, 593, 1297, 3601, 543, 9696, 267, 3246, 596, 609, 2994, 543, 4388, 585, 13215, 891, 3584, 269, 1284, 3513, 2253, 676, 7234, 4909, 1297, 3959, 3741, 543, 1287, 1847, 593, 547, 5311, 17950, 269, 1635, 519, 1439, 540, 713, 3184, 267, 596, 1058, 1745, 8746, 538, 707, 2702, 547, 4019, 891, 2035, 950, 6061, 1950, 2042, 1336, 1369, 519, 17918, 981, 780, 1262, 4089, 476, 272, 281, 4197, 7089, 16544, 4373, 10831, 3601, 3277, 547, 4162, 7915, 547, 1808, 2338, 610, 5036, 540, 2338, 269, 20876, 891, 3601, 666, 948, 14458, 4834, 267, 2697, 3270, 267, 543, 6038, 1291, 547, 5488, 1966, 6571, 269, 769, 713, 3296, 267, 649, 786, 2263, 1256, 267, 9642, 267, 6305, 267, 12432, 267, 543, 3501, 4009, 2338, 267, 2059, 609, 26027, 267, 8954, 2225, 3652, 267, 543, 22606, 12980, 780, 265, 10214, 543, 744, 9536, 10606, 15846, 1323, 8870, 568, 9286, 607, 2901, 1256, 610, 9642, 1759, 2390, 922, 14230, 1310, 6498, 676, 1079, 269, 4634, 9981, 4734, 1100, 2611, 10249, 267, 1247, 9642, 9981, 1267, 538, 513, 14230, 540, 835, 269, 1280, 1383, 267, 2015, 519, 1739, 7215, 1384, 279, 21680, 476, 273, 815, 476, 275, 630, 7224, 14230, 282, 3976, 267, 476, 279, 568, 606, 1256, 8870, 8094, 280, 21680, 476, 273, 815, 476, 275, 14230, 476, 272, 630, 14310, 656, 14230, 6920, 602, 476, 280, 568, 606, 9642, 8870, 6393, 2691, 4946, 610, 18946, 1256, 543, 9642, 9981, 267, 519, 2040, 25601, 519, 1482, 3959, 630, 16838, 952, 1312, 1039, 1742, 2671, 519, 1482, 3959, 267, 6382, 4611, 538, 606, 9642, 6364, 17107, 16216, 1597, 264, 1341, 630, 15957, 264, 815, 9642, 454, 16216, 1597, 264, 910, 630, 15957, 264, 815, 9642, 692, 4913, 267, 14921, 1256, 543, 9642, 9981, 2164, 538, 1114, 4093, 4470, 9003, 2390, 519, 1256, 8870, 3238, 1384, 16216, 1597, 264, 6398, 630, 15759, 518, 264, 815, 1256, 454, 263, 15957, 264, 6398, 630, 15759, 518, 264, 815, 9642, 692, 265, 28269, 543, 1290, 22683, 10606, 15846, 11788, 2338, 616, 1346, 2318, 9981, 3152, 982, 835, 28429, 1152, 1079, 3982, 2188, 1107, 2933, 543, 835, 269, 17957, 267, 12432, 2338, 2270, 2789, 3815, 8424, 3564, 835, 543, 3294, 269, 20023, 543, 835, 2099, 17756, 2094, 789, 798, 711, 15666, 14553, 547, 891, 8847, 269, 6333, 519, 1739, 14745, 5473, 6305, 543, 12432, 2338, 1447, 982, 13977, 1384, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 1556, 267, 476, 1724, 267, 476, 1704, 267, 476, 866, 267, 476, 2537, 630, 18905, 2338, 5148, 782, 1866, 1063, 8938, 21144, 543, 13977, 8537, 13822, 12432, 2338, 780, 8139, 6305, 17883, 18327, 3407, 1282, 28809, 21335, 610, 12719, 6574, 1455, 16975, 630, 294, 7374, 338, 1040, 5272, 2898, 1297, 3677, 982, 835, 666, 2769, 607, 513, 2189, 1587, 9967, 14311, 540, 22136, 1634, 607, 922, 6305, 26458, 1384, 2568, 815, 476, 273, 23326, 6398, 476, 274, 382, 373, 6398, 476, 276, 382, 373, 692, 1607, 1523, 11498, 2417, 883, 12825, 1106, 998, 519, 27284, 14497, 540, 25226, 799, 2829, 602, 1169, 1875, 14706, 7787, 1297, 11224, 513, 23479, 16922, 540, 1079, 9981, 16611, 1927, 267, 9444, 4687, 1022, 1455, 3815, 824, 982, 13008, 272, 780, 265, 8110, 2739, 8293, 4100, 15846, 17828, 10945, 8451, 689, 2695, 2130, 9981, 269, 17291, 971, 2418, 16881, 4028, 2790, 9273, 543, 4806, 6284, 1384, 272, 11054, 815, 476, 272, 454, 273, 11054, 815, 476, 275, 454, 274, 11054, 815, 476, 280, 454, 2483, 1015, 11054, 815, 476, 1911, 692, 30860, 875, 15654, 3501, 10945, 8428, 676, 26799, 9642, 9981, 286, 22982, 713, 8343, 547, 3533, 3313, 2436, 6069, 3435, 3514, 9985, 4009, 7355, 780, 265, 303, 10846, 15846, 3474, 640, 4016, 547, 519, 1256, 1145, 610, 9642, 1145, 2404, 609, 1367, 2609, 540, 513, 1305, 269, 1879, 6236, 9352, 4238, 5340, 2066, 10070, 5627, 6404, 1612, 885, 267, 11291, 602, 1256, 7132, 9642, 11729, 9642, 267, 6466, 1256, 14263, 9642, 3788, 1256, 7488, 540, 5106, 1931, 1384, 16216, 1597, 264, 1341, 630, 15957, 264, 815, 9642, 454, 16216, 1597, 264, 910, 630, 15957, 264, 815, 9642, 692, 265, 19667, 529, 2225, 16390, 15846, 6555, 529, 2225, 3652, 1683, 2656, 2409, 585, 8159, 2436, 1978, 9981, 7941, 2973, 569, 883, 1776, 1510, 6028, 513, 14230, 269, 28871, 1031, 3652, 4125, 8954, 2225, 4255, 585, 1079, 267, 1614, 267, 2185, 267, 2947, 267, 3670, 267, 5216, 267, 8370, 267, 543, 4557, 269, 6490, 528, 1944, 891, 4808, 6908, 6050, 26398, 14320, 1384, 10521, 281, 1403, 519, 2063, 7857, 540, 513, 1297, 568, 16883, 676, 1079, 267, 865, 1932, 568, 519, 3003, 1871, 563, 16248, 281, 5681, 2719, 9704, 1369, 513, 1297, 3029, 513, 1007, 2582, 18251, 7274, 269, 9701, 713, 2698, 6961, 16883, 676, 1614, 267, 519, 3312, 4137, 8843, 713, 16023, 563, 19177, 281, 2372, 611, 745, 921, 1206, 4646, 3842, 23454, 20422, 8424, 4358, 689, 1318, 2865, 2990, 1590, 8858, 8954, 2225, 896, 6514, 14350, 563, 26668, 281, 15937, 9704, 10678, 538, 4642, 610, 2947, 24901, 8954, 2225, 676, 2947, 563, 306, 1460, 281, 20051, 2175, 13890, 5892, 585, 1312, 1079, 543, 1614, 4570, 919, 8954, 2225, 676, 3670, 563, 292, 697, 281, 1306, 829, 4341, 2185, 267, 4983, 733, 27631, 5595, 1206, 4098, 5612, 2451, 1189, 540, 519, 3803, 6292, 269, 4406, 573, 730, 8954, 2225, 1934, 5849, 31675, 3823, 5216, 563, 301, 710, 281, 1323, 11530, 748, 547, 4341, 1614, 267, 2705, 267, 6905, 2066, 782, 25499, 9704, 3079, 540, 8806, 519, 3355, 2468, 334, 563, 307, 523, 281, 7736, 9557, 2165, 3215, 538, 4642, 20301, 8954, 2225, 896, 14791, 676, 4557, 780, 265, 9556, 983, 25226, 15846, 3525, 983, 12980, 9388, 609, 30424, 5049, 3989, 2687, 547, 21225, 6967, 2022, 1673, 643, 1707, 269, 32279, 20922, 1210, 834, 260, 257, 13513, 8204, 29870, 11346, 10342, 267, 22606, 12980, 6087, 13801, 6041, 540, 7814, 673, 2623, 17820, 1851, 1082, 2067, 9259, 780, 13706, 942, 15209, 3156, 1141, 3108, 16833, 1472, 1394, 547, 28813, 2899, 8757, 12964, 522, 262, 22018, 1384, 1428, 4939, 476, 1321, 9881, 509, 476, 274, 630, 26238, 19939, 5258, 676, 12964, 3762, 513, 14230, 3160, 547, 1614, 6393, 25219, 559, 1944, 17602, 775, 10035, 2417, 5587, 5809, 3347, 3838, 1851, 6697, 22016, 1384, 320, 9881, 350, 536, 630, 7116, 562, 264, 7602, 498, 562, 347, 263, 320, 910, 536, 2020, 2080, 514, 267, 1412, 333, 262, 4564, 519, 11280, 29870, 267, 1247, 1412, 320, 262, 543, 1412, 321, 262, 5330, 547, 17062, 8870, 25926, 5732, 23493, 1369, 5094, 30424, 5049, 780, 1262, 4089, 476, 273, 281, 5548, 1324, 20553, 14938, 1878, 4373, 306, 3225, 1878, 2874, 540, 10288, 12417, 3335, 6353, 676, 24088, 1894, 610, 6806, 1106, 27909, 11269, 269, 10738, 713, 10126, 267, 649, 3513, 26819, 5276, 3356, 687, 267, 12166, 3126, 267, 543, 12980, 1797, 3056, 909, 547, 606, 4367, 8720, 23191, 1611, 16759, 2553, 780, 265, 30791, 4273, 11306, 15846, 12430, 3356, 687, 1246, 3586, 3604, 19459, 2474, 269, 1677, 5173, 32671, 2165, 2418, 12799, 267, 8415, 519, 3177, 4082, 2630, 2655, 23082, 4143, 21635, 9935, 1384, 534, 815, 513, 272, 1341, 546, 3799, 268, 272, 2020, 8489, 1412, 323, 262, 18575, 3017, 9588, 23243, 11105, 3334, 543, 1412, 333, 262, 1374, 919, 2990, 531, 4994, 3448, 547, 1101, 3693, 1412, 320, 272, 8339, 17968, 267, 17589, 16571, 1947, 3842, 10747, 18631, 2165, 21341, 1384, 534, 284, 534, 6629, 272, 266, 323, 315, 3709, 333, 13157, 320, 315, 3709, 333, 268, 272, 15396, 323, 333, 25991, 284, 323, 333, 25991, 266, 534, 6629, 272, 25991, 692, 265, 10481, 6248, 10022, 15846, 2983, 6248, 3126, 6542, 5812, 12753, 16046, 18615, 13366, 269, 5381, 547, 31085, 11636, 3889, 267, 8763, 7215, 5512, 1463, 8990, 540, 5551, 7158, 14139, 519, 7766, 2078, 1384, 534, 815, 513, 272, 2608, 678, 22677, 333, 268, 272, 2020, 4415, 1412, 337, 262, 28408, 5223, 12750, 1512, 12044, 2208, 2557, 6384, 269, 10313, 762, 16571, 542, 16097, 3180, 3020, 585, 12166, 3126, 607, 1134, 1384, 534, 284, 337, 414, 24844, 534, 6629, 272, 315, 3709, 333, 13157, 337, 24206, 513, 315, 3709, 333, 268, 272, 348, 534, 25991, 284, 337, 414, 24844, 534, 6629, 272, 25991, 692, 265, 6635, 10379, 31283, 15846, 9717, 1079, 25948, 9988, 1535, 543, 586, 267, 12337, 12980, 1611, 631, 343, 11971, 17598, 8635, 10148, 1642, 574, 1746, 2039, 7854, 539, 972, 24992, 1384, 300, 15383, 14352, 343, 20742, 264, 273, 19749, 353, 300, 15383, 283, 263, 343, 20742, 264, 273, 21702, 12757, 20742, 2410, 273, 4153, 19008, 24001, 300, 315, 18155, 4118, 527, 12757, 344, 3686, 283, 315, 2765, 12757, 20742, 2410, 273, 348, 300, 15383, 25991, 284, 273, 23444, 343, 20742, 264, 19749, 353, 300, 343, 2096, 573, 25991, 283, 273, 23444, 343, 20742, 2020, 22091, 21505, 14249, 28173, 3606, 3800, 4180, 3617, 13307, 9624, 4540, 2818, 269, 11773, 633, 24450, 862, 1878, 689, 30268, 7229, 3842, 19011, 1645, 4478, 13413, 2394, 9688, 532, 7269, 7182, 13684, 608, 27238, 780, 265, 295, 1301, 4577, 6399, 6480, 11582, 9828, 15846, 15053, 4577, 1797, 4196, 5097, 607, 25262, 1023, 5532, 8167, 2299, 547, 9757, 12980, 1797, 269, 4014, 3169, 9819, 7569, 12270, 5044, 1293, 676, 19469, 9103, 1023, 6508, 689, 23483, 5057, 30843, 267, 4244, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2414, 5000, 543, 5431, 4081, 17284, 267, 25480, 7991, 5441, 814, 3964, 513, 16628, 779, 5903, 543, 513, 25760, 779, 5903, 563, 268, 634, 16628, 779, 5903, 17767, 519, 11108, 14172, 540, 1053, 945, 7118, 513, 476, 275, 269, 271, 610, 968, 288, 892, 3446, 1448, 3328, 538, 741, 6030, 269, 9509, 6066, 1053, 945, 723, 6192, 693, 2547, 476, 1321, 17099, 585, 519, 19496, 609, 1100, 968, 310, 892, 610, 968, 296, 892, 9344, 616, 14718, 585, 713, 8956, 563, 268, 4495, 513, 851, 6066, 2875, 814, 19017, 476, 1321, 17099, 538, 15335, 267, 602, 2875, 949, 581, 2808, 585, 519, 3487, 6874, 830, 16628, 779, 5903, 269, 3487, 6066, 1053, 945, 723, 12236, 513, 476, 275, 269, 271, 717, 5183, 609, 1100, 968, 310, 892, 610, 968, 296, 892, 9344, 538, 513, 2016, 19496, 616, 14718, 585, 519, 3487, 6874, 830, 16628, 779, 5903, 563, 268, 9509, 6066, 1053, 945, 616, 1319, 878, 4327, 538, 513, 15149, 610, 4110, 1982, 543, 945, 6707, 2347, 476, 1321, 610, 811, 17099, 540, 960, 538, 513, 19496, 609, 513, 3446, 1448, 3328, 540, 476, 274, 269, 275, 610, 2362, 4927, 581, 6444, 676, 2348, 741, 4408, 5116, 593, 513, 25760, 779, 5903, 563, 268, 3487, 6066, 1053, 945, 616, 1319, 878, 4327, 538, 513, 15149, 610, 4110, 1982, 616, 849, 14718, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29898, 15978, 1315, 17918, 630, 24836, 9958, 5004, 1520, 3939, 4530, 264, 1315, 7089, 16544, 543, 14938, 1878, 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, 476, 272, 269, 273, 11957, 540, 9941, 17460, 538, 4437, 32441, 20905, 267, 5843, 19491, 16361, 267, 543, 28064, 5020, 692, 2026, 649, 3989, 538, 3296, 476, 272, 269, 272, 267, 2571, 2339, 4016, 547, 2326, 4171, 3601, 9114, 1063, 1346, 540, 6671, 17571, 543, 15559, 269, 1452, 2326, 8858, 2189, 5615, 971, 607, 2095, 896, 2566, 267, 1582, 23829, 12273, 267, 543, 30506, 547, 5007, 15128, 269, 769, 713, 3296, 267, 649, 786, 2263, 875, 891, 4162, 1118, 2571, 2339, 16832, 538, 1585, 4610, 267, 689, 8790, 14037, 710, 547, 2890, 19491, 16361, 543, 4948, 3156, 780, 18693, 32441, 20905, 692, 3080, 1858, 1141, 2571, 2339, 814, 1500, 1713, 7418, 568, 538, 519, 1646, 540, 2564, 18032, 543, 3075, 6765, 1949, 269, 10281, 5766, 1564, 267, 513, 1826, 540, 2571, 1570, 7768, 540, 3444, 15062, 539, 12249, 5121, 22224, 609, 1216, 267, 4865, 2147, 7344, 3601, 547, 2067 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2353, 610, 1280, 513, 674, 822, 10696, 23225, 634, 18514, 563, 1432, 616, 519, 1114, 1060, 338, 4294, 538, 3127, 286, 634, 1060, 338, 538, 21944, 11156, 538, 7005, 610, 538, 269, 1548, 568, 513, 13360, 8891, 819, 1656, 875, 798, 596, 3758, 835, 538, 7040, 269, 1717, 538, 519, 2296, 1876, 519, 1060, 540, 8260, 600, 639, 4927, 711, 581, 563, 7468, 2581, 518, 1287, 513, 13338, 14319, 538, 21944, 11156, 3773, 547, 1205, 1010, 16278, 814, 1044, 5941, 827, 1060, 338, 538, 21944, 11156, 538, 7005, 1876, 610, 1268, 610, 4651, 610, 15518, 730, 547, 798, 538, 563, 763, 25799, 1436, 540, 4095, 17721, 4521, 269, 4095, 2717, 640, 27284, 7126, 634, 13360, 338, 2817, 269, 9137, 476, 3953, 538, 634, 9139, 2986, 3127, 476, 3707, 280, 4095, 20855, 3019, 269, 13206, 29342, 4856, 16476, 2920, 634, 3703, 7732, 563, 2252, 621, 1058, 581, 21944, 11156, 454, 15578, 11553, 2207, 8104, 288, 20937, 654, 305, 3951, 306, 5442, 14888, 3198, 623, 8991, 303, 4488, 20937, 595, 7417, 5357, 269, 9537, 540, 13360, 338, 538, 4095, 9139, 966, 12921, 1571, 18248, 269, 5027, 11512, 518, 4208, 568, 9137, 476, 3953, 1572, 1412, 24711, 262, 543, 5027, 3127, 269, 1473, 5288, 1621, 476, 273, 526, 4530, 7454, 20052, 30253, 20176, 625, 4639, 19377, 5082, 687, 563, 1432, 568, 13360, 543, 13360, 8891, 819, 538, 3127, 12525, 27987, 310, 8403, 269, 808, 11070, 2975, 24361, 11555, 26177, 8946, 4629, 308, 21203, 654, 305, 3951, 18027, 2316, 16739, 32516, 594, 269, 7799, 2787, 957, 16155, 543, 21944, 11156, 538, 7005, 269, 589, 2793, 14877, 306, 3041, 5508, 654, 305, 3951, 306, 5442, 28960, 8656, 21912, 1103, 563, 305, 2074, 814, 2123, 15698, 454, 300, 663, 600, 639, 4214, 568, 513, 1060, 9783, 676, 513, 9120, 5480, 4971, 532, 519, 2773, 540, 513, 9138, 4013, 957, 610, 10279, 563, 2005, 610, 676, 513, 1857, 10279, 267, 9204, 543, 1060, 338, 538, 21944, 11156, 538, 7005, 855, 1904, 532, 856, 2436, 610, 1857, 10279, 952, 621, 568, 1271, 547, 581, 4547, 1369, 922, 7834, 543, 811, 563, 15650, 538, 21944, 11156, 454, 10190, 12116, 971, 13338, 9598, 919, 267, 1060, 338, 538, 21944, 11156, 538, 7005, 543, 538, 713, 2376, 5631, 998, 1978, 5013, 563, 310, 761, 338, 538, 519, 4095, 9139, 941, 22666, 689, 519, 2296, 1876, 855, 609, 513, 13581, 3017, 543, 789, 616, 1360, 1271, 563, 268, 9537, 540, 13360, 338, 538, 9139, 540, 3127, 8048, 519, 26269, 563, 268, 9137, 476, 26297, 268, 25375, 540, 519, 9139, 540, 3127, 5295, 540, 4400, 563, 268, 1452, 1060, 338, 616, 22666, 689, 2296, 1876, 1141, 789, 616, 1634, 607, 563, 15650, 540, 13360, 338, 538, 4095, 9139, 7591, 638, 714, 273, 7773, 269, 16594, 18830, 13360, 338, 540, 26859, 9752, 1977, 3778, 269, 13360, 338, 1656, 645, 6563, 539, 17972, 540, 4095, 9139, 9399, 290, 3849, 6767, 563, 18800, 519, 21944, 11156, 454, 26668, 1114, 2010, 540, 13360, 338, 543, 741, 2956, 538, 11156, 563, 5445, 849, 11329, 856, 5693, 1219, 1221, 7182, 610, 1060, 338, 538, 21944, 11156, 3294, 2829, 540, 17021, 519, 2132, 540, 519, 18659, 585, 519, 3375, 2901, 547, 519, 32358, 1590, 581, 25964, 547, 513, 17033, 4357, 2361, 563, 1607, 1318, 12090, 538, 519, 2296, 3656, 1062, 543, 568, 1631, 2139, 538, 1082, 6082, 898, 814, 13840, 1044, 606, 1271, 3656, 6293, 563, 2467, 568, 513, 1318, 538, 3127, 799, 2829, 602, 513, 1268, 666, 1847, 547, 10966, 5480, 952, 646, 9917, 6499, 547, 1205, 741, 4909, 2924, 6870, 901, 1318, 269, 9139, 540, 3127, 4790, 15856, 550, 13909, 13891, 919, 269, 634, 2776, 5766, 894, 13360, 338, 607, 25799, 18734, 10228, 563, 290, 22620, 814, 513, 2539, 5480, 267, 1705, 18322, 1164, 5480, 15936, 609, 1614, 12215, 540, 21944, 11156, 538, 7005, 547, 1685, 606, 11464, 454, 17457, 3127, 476, 275, 1230, 26810, 2986, 19377, 7073, 3127, 476, 274, 3703, 1230, 26810, 2986, 3127, 2717, 640, 476, 273, 17796, 1677, 634, 4095, 9139, 2717, 640, 476, 274, 1261, 6758, 2986, 12830, 269, 9406, 547, 25799, 3816, 12203, 13360, 338, 631, 10135, 16281, 14888, 269, 13360, 538, 737, 2335, 3385, 28982, 12626, 3127, 781, 1100, 476, 272, 2296, 4804, 563, 310, 761, 3816, 9037, 4521, 14636, 3127, 563, 310, 761, 2495, 538, 737, 2335, 3385, 6258, 2143, 2495, 540, 1060, 538, 737, 2335, 3385, 269, 5675, 27587, 9608, 8048, 519, 26269, 2488, 513, 2143, 2376, 593, 2010, 540, 1060, 338, 538, 519, 4095, 9139, 543, 269, 0, 12552, 585, 2542, 519, 3377, 827, 519, 1353, 281, 19768, 540, 3940, 1377, 834, 5141, 9369, 257, 538, 519, 1480, 1560, 5787, 919, 519, 2557, 540, 10172, 543, 1631, 609, 3877, 454, 288, 2487, 1977, 1353, 814, 1336, 5892, 7164, 3252, 540, 519, 918, 5979, 1054, 334, 3940, 267, 799, 11081, 538, 519, 1480, 1560, 607, 2085, 8441, 563, 3682, 12888, 568, 3743, 585, 519, 4187, 540, 519, 2634, 547, 3676, 540, 10172, 538, 519, 3844, 8401, 1062, 543, 849, 11151, 1034, 5563, 267, 2687, 547, 519, 3896, 540, 834, 305, 3711, 2401, 257, 6739, 563, 763, 2164, 540, 6901, 5342, 676, 3744, 593, 2831, 602, 1164, 1377, 540, 3940, 267, 834, 5141, 3578, 334, 257, 538, 922, 1560, 1279, 1272, 267, 1247, 519, 7771, 5787, 919, 519, 2557, 540, 10172, 543, 17108, 519, 11944, 540, 6553, 538, 519, 2634, 563, 14188, 596, 585, 2542, 519, 3377, 593, 519, 1353, 281, 19768, 540, 3940, 1377, 267, 834, 298, 5979, 1054, 334, 257, 538, 519, 1480, 1560, 17108, 519, 10172, 2557, 593, 519, 476, 18458, 7345, 543, 1217, 596, 602, 519, 1543, 540, 519, 1641, 2854, 676, 18142, 17936, 476, 18458, 949, 723, 1044, 10299, 610, 20926, 689, 621, 543, 596, 666, 1224, 543, 3950, 3377, 540, 901, 2707, 568, 689, 519, 1292, 2707, 540, 519, 3095, 547, 18142, 17936, 476, 18458, 1284, 616, 711, 3743, 585, 519, 1543, 540, 713, 3377, 543, 519, 1655, 540, 519, 6126, 543, 6126, 1554, 269, 0, 10907, 638, 1600, 18555, 1145, 949, 1267, 689, 31797, 540, 519, 5007, 1274, 12324, 1813, 547, 1279, 3410, 6553, 630, 582, 4345, 608, 1181, 320, 264, 610, 7050, 1274, 14589, 269, 898, 949, 849, 2049, 1813, 547, 513, 8297, 696, 3293, 1274, 14941, 610, 6553, 540, 519, 1647, 610, 6418, 1274, 269, 24651, 2356, 7024, 1310, 891, 2010, 540, 2175, 616, 17251, 563, 1432, 3123, 6727, 18555, 1145, 538, 5243, 888, 27246, 540, 32664, 1145, 543, 24651, 13809, 538, 17268, 454, 5353, 3164, 1274, 5563, 267, 12970, 267, 26220, 5563, 267, 3075, 17219, 267, 610, 15779, 5945, 666, 2800, 519, 1119, 332, 3966, 636, 630, 324, 731, 5300, 264, 610, 519, 6418, 8276, 1497, 1274, 267, 4611, 538, 10151, 610, 8628, 18555, 1145, 563, 1692, 798, 596, 1521, 6217, 2530, 538, 5243, 888, 1692, 596, 666, 948, 707, 2915, 609, 6217, 2530, 888, 268, 6744, 538, 609, 707, 16943, 563, 268, 21541, 707, 2915, 609, 1688, 6786, 563, 268, 2422, 1875, 10177, 6463, 6786, 563, 268, 3680, 1376, 1782, 707, 2915, 563, 268, 21561, 707, 28858, 563, 268, 2037, 5341, 707, 2915, 779, 968, 8243, 2454, 1272, 7536, 268, 5900, 778, 606, 267, 968, 296, 993, 18555, 892, 11090, 547, 707, 2915, 779, 27897, 563, 268, 12315, 3054, 513, 533, 788, 2911, 563, 3674, 621, 1455, 585, 2025, 5243, 547, 979, 18555, 888, 2005, 568, 1455, 585, 4587, 5243, 630, 280, 266, 1296, 264, 547, 1376, 547, 1995, 6217, 2530, 602, 22264, 547, 2282, 18555, 1145, 538, 930, 1360, 2025, 5243, 269, 1809, 602, 568, 711, 1317, 540, 2242, 538, 519, 10772, 269, 4634, 5243, 609, 5312, 1274, 5563, 25864, 6336, 6217, 1813, 547, 741, 10772, 2042, 269, 6196, 2085, 6217, 2530, 4386, 538, 519, 2634, 563, 4692, 5243, 723, 10151, 6217, 2530, 888, 307, 3637, 18555, 1145, 568, 1419, 519, 1267, 540, 19221, 1369, 519, 1274, 23668, 269, 769, 1840, 547, 14589, 19221, 267, 930, 5243, 949, 723, 4430, 4552, 538, 610, 1472, 741, 10772, 269, 901, 4552, 666, 2445, 14589, 543, 11935, 543, 1106, 513, 11690, 538, 519, 12324, 267, 3056, 547, 6217, 2530, 269, 901, 1826, 540, 18555, 1145, 949, 581, 20328, 609, 2126, 563, 1692, 666, 513, 17022, 2995, 952, 513, 2915, 568, 18555, 888, 26807, 18915, 12665, 666, 1685, 519, 11020, 980, 10748, 7480, 5345, 12097, 15863, 630, 10621, 2207, 264, 4530, 269, 901, 568, 519, 1034, 6325, 1505, 585, 8159, 18555, 1145, 538, 5243, 269, 634, 1449, 729, 1101, 1031, 538, 12256, 543, 568, 1631, 1373, 1031, 547, 6218, 6217, 538, 5243, 563, 1432, 2915, 14981, 616, 12155, 547, 18555, 1145, 888, 295, 8960, 13809, 538, 17268, 454, 5415, 982, 476, 1789, 14981, 540, 5243, 723, 513, 1634, 18687, 585, 18555, 1145, 267, 1519, 519, 8241, 1352, 23311, 267, 11785, 1768, 8175, 267, 15483, 518, 12732, 1408, 267, 18243, 3901, 1014, 267, 4436, 1352, 23311, 267, 10793, 21651, 1768, 8175, 267, 631, 5306, 3150, 267, 11442, 543, 20538, 533, 22259, 267, 543, 4639, 4400, 1633, 3043, 1768, 8175, 269, 15380, 267, 621, 568, 811, 1455, 538, 9972, 5243, 563, 4692, 513, 2915, 979, 18555, 689, 606, 1274, 3968, 888, 28606, 5563, 267, 3226, 519, 6418, 1274, 630, 582, 4345, 2028, 320, 264, 666, 3132, 23644, 610, 8628, 18555, 1145, 269, 2755, 519, 1647, 1274, 267, 17333, 4345, 2923, 267, 666, 1995, 3280, 17527, 1813, 547, 606, 3968, 267, 707, 2915, 779, 1560, 1058, 5555, 2312, 713, 856, 609, 6217, 6454, 563, 1432, 5061, 2014, 6217, 2530, 538, 5243, 888, 268, 589, 2381, 16570, 6523, 1938, 630, 324, 3052, 1421, 8425, 25271, 514, 267, 993, 1731, 659, 514, 264, 543, 28250, 680, 11294, 616, 519, 5061, 540, 5207, 6161, 585, 17333, 25570, 640, 563, 268, 13809, 540, 10444, 2281, 630, 327, 1515, 2281, 264, 538, 519, 4835, 1274, 568, 519, 3119, 2014, 540, 8628, 22907, 538, 6217, 610, 3666, 563, 4692, 513, 2915, 979, 18555, 16074, 888, 5719, 2378, 1145, 538, 5243, 666, 2901, 581, 513, 10151, 267, 9864, 610, 2698, 2530, 540, 6217, 1765, 16746, 547, 513, 14589, 1628, 5346, 538, 519, 1274, 23668, 29932, 8628, 6217, 2530, 1813, 547, 513, 3984, 540, 3123, 971, 607, 4049, 267, 15860, 1274, 5563, 267, 22787, 12889, 267, 2025, 2085, 543, 7063, 563, 4692, 513, 2915, 779, 6217, 581, 17468, 888, 763, 1034, 1455, 3123, 540, 6217, 2530, 616, 524, 9092, 609, 1697, 2126, 689, 707, 17022, 543, 693, 25571, 1416, 269, 2659, 16943, 786, 991, 547, 2312, 856, 4552, 543, 14589, 19221, 538, 707, 2915, 779, 1274, 23668, 267, 855, 596, 666, 946, 606, 693, 25571, 1274, 18274, 518, 950, 25462, 707, 4620, 547, 2327, 602, 789, 3251, 2312, 543, 2635, 563, 4692, 513, 18555, 2915, 22919, 6217, 888, 10907, 638, 1600, 18555, 1145, 666, 581, 3361, 676, 3875, 2188, 269, 2368, 6527, 666, 581, 6757, 547, 519, 10772, 269, 13575, 267, 519, 18555, 1145, 3361, 676, 891, 5061, 568, 8628, 267, 855, 930, 2831, 949, 22919, 6217, 936, 942, 269, 3509, 4587, 2831, 1020, 18555, 1145, 563, 1692, 1454, 1281, 513, 2915, 6217, 1449, 1942, 888, 763, 1942, 540, 5868, 568, 3335, 2124, 326, 730, 547, 519, 7363, 1016, 268, 259, 4968, 13391, 518, 4152, 2838, 547, 3715, 519, 5868, 269, 7981, 1242, 2866, 267, 2705, 267, 666, 581, 7199, 952, 1164, 7779, 4648, 616, 6964, 563, 1692, 798, 596, 917, 952, 707, 2915, 568, 12955, 888, 763, 15681, 339, 1446, 20050, 513, 13928, 1772, 667, 3539, 454, 268, 1160, 14075, 539, 700, 996, 1173, 344, 270, 11514, 15517, 269, 901, 568, 519, 1034, 1455, 1129, 602, 519, 12955, 1184, 814, 13175, 563, 268, 853, 3591, 14856, 270, 7804, 9722, 563, 268, 13809, 540, 18509, 1588, 563, 268, 6997, 1819, 22165, 3107, 563, 268, 16418, 532, 1290, 3228, 563, 1692, 798, 596, 2995, 952, 513, 2915, 814, 606, 1274, 3968, 888, 23777, 673, 13928, 2423, 25124, 12580, 454, 268, 2480, 337, 10248, 540, 519, 1274, 610, 1858, 1472, 519, 1274, 563, 268, 9466, 267, 5835, 267, 610, 26481, 11166, 563, 268, 13095, 528, 538, 519, 1274, 563, 268, 4414, 1145, 4210, 2454, 595, 6412, 338, 610, 1085, 11274, 593, 3330, 540, 519, 9018, 1274, 563, 268, 22458, 2530, 1472, 519, 1274, 563, 268, 11676, 6883, 540, 519, 1274, 543, 4478, 1858, 593, 519, 6989, 610, 11647, 563, 268, 10361, 24373, 610, 2212, 28550, 563, 1432, 6527, 616, 6757, 547, 5243, 10772, 888, 288, 3099, 540, 5061, 543, 6464, 616, 17333, 25570, 543, 22514, 756, 592, 25570, 267, 2523, 519, 993, 514 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1892, 7151, 454, 1892, 3955, 1998, 3502, 566, 281, 5606, 6541, 476, 3066, 281, 6021, 454, 1892, 2422, 910, 31236, 610, 3980, 508, 547, 8058, 606, 3955, 1998, 24613, 593, 5983, 591, 538, 2290, 667, 3925, 610, 519, 4033, 454, 1892, 11408, 2422, 9977, 12330, 454, 1892, 6201, 454, 1892, 7151, 476, 272, 476, 4029, 281, 2537, 454, 1892, 7151, 476, 273, 476, 3374, 281, 2918, 454, 1892, 7151, 476, 274, 476, 4343, 281, 6349, 454, 1892, 7151, 476, 275, 476, 5655, 281, 2641, 692, 9558, 5524, 281, 30498, 267, 15689, 267, 1299, 10606, 692, 17098, 282, 10950, 1394, 547, 3447, 1807, 2593, 269, 1822, 271, 692, 9213, 267, 649, 616, 2469, 547, 2911, 827, 5036, 267, 2609, 267, 543, 1018, 789, 1611, 585, 2338, 269, 1822, 273, 692, 2414, 1376, 267, 649, 616, 2469, 547, 2911, 827, 519, 2856, 540, 5036, 269, 1822, 278, 692, 3719, 513, 2603, 540, 6030, 1810, 1405, 2232, 713, 8631, 2047, 269, 9826, 271, 692, 3719, 891, 2093, 1628, 519, 5748, 602, 519, 1964, 540, 2979, 1568, 593, 269, 9826, 279, 692, 3383, 267, 596, 666, 1174, 782, 540, 519, 2035, 602, 786, 2097, 2663, 538, 713, 1576, 1510, 2479, 2348, 14478, 713, 3992, 269, 16573, 275, 692, 3719, 8384, 713, 1101, 786, 948, 596, 1294, 875, 621, 782, 13352, 1927, 267, 799, 786, 2731, 948, 707, 1620, 267, 799, 786, 1118, 621, 602, 1454, 4443, 593, 596, 269, 16573, 280, 692, 9827, 267, 952, 596, 1616, 547, 979, 593, 543, 1491, 2663, 267, 811, 4359, 2979, 267, 899, 11810, 610, 1256, 1454, 811, 4359, 2852, 6030, 19740, 277, 692, 263, 3697, 7493, 6128, 1070, 713, 8631, 568, 2469, 547, 581, 2731, 3730, 547, 723, 2907, 3824, 11712, 538, 707, 2247, 269, 21916, 274, 692, 4322, 2093, 616, 1390, 2663, 585, 596, 282, 865, 952, 596, 616, 2469, 547, 1491, 4359, 2979, 267, 2731, 267, 9090, 267, 4585, 713, 269, 21916, 280, 692, 7476, 606, 1620, 540, 1018, 568, 2469, 593, 269, 22650, 277, 692, 5629, 1586, 267, 596, 1810, 1405, 2731, 723, 547, 7184, 1174, 1022, 540, 891, 1919, 282, 649, 616, 1175, 2469, 547, 581, 15700, 621, 593, 519, 2627, 269, 22650, 278, 692, 3719, 596, 1616, 547, 1205, 513, 19214, 540, 713, 4990, 540, 8631, 267, 865, 602, 2663, 593, 267, 596, 666, 2731, 1174, 1018, 568, 2469, 593, 269, 24879, 273, 692, 4517, 849, 267, 621, 568, 1175, 2469, 547, 1118, 1919, 513, 2603, 23704, 267, 2523, 950, 649, 616, 6158, 827, 3252, 269, 24879, 279, 692, 3383, 267, 596, 666, 1205, 606, 7493, 2856, 540, 875, 513, 1599, 1568, 267, 799, 786, 948, 596, 1174, 1018, 568, 2469, 593, 269, 23669, 273, 692, 5472, 1318, 267, 1577, 781, 1205, 3323, 256, 23669, 278, 692, 288, 1305, 568, 513, 4015, 540, 3982, 3615, 282, 1142, 540, 519, 3615, 3330, 540, 513, 1305, 568, 1572, 606, 3693, 269, 23669, 280, 692, 2304, 1383, 1934, 281, 649, 723, 1079, 5036, 281, 2715, 272, 267, 476, 273, 267, 476, 274, 348, 568, 513, 1305, 734, 26421, 835, 540, 1346, 2609, 568, 1114, 689, 782, 519, 824, 2609, 269, 25484, 277, 692, 272, 568, 711, 476, 273, 610, 476, 274, 282, 476, 273, 568, 711, 476, 272, 610, 476, 274, 282, 543, 476, 274, 568, 711, 476, 272, 610, 476, 273, 269, 27947, 276, 692, 20118, 267, 585, 519, 1305, 2715, 13906, 267, 2915, 9574, 649, 723, 3032, 1114, 982, 2915, 267, 543, 2915, 1114, 982, 3032, 269, 18089, 271, 692, 9827, 267, 2731, 3533, 281, 519, 1259, 602, 649, 1397, 602, 649, 616, 6158, 827, 3615, 3330, 540, 513, 1305, 568, 281, 649, 723, 891, 1225, 569, 25329, 269, 18089, 278, 692, 4517, 594, 993, 711, 602, 1390, 693, 1818, 513, 1225, 569, 25231, 267, 855, 621, 568, 1945, 899, 602, 585, 519, 2451, 2427, 267, 543, 1945, 899, 602, 585, 519, 1318, 2427, 269, 18733, 276, 692, 2791, 666, 1294, 513, 8799, 1462, 2762, 630, 1399, 6244, 13050, 13944, 264, 25231, 538, 1250, 13472, 1934, 269, 23713, 273, 692, 3719, 950, 594, 993, 2965, 1603, 621, 856, 267, 594, 798, 1945, 899, 891, 1318, 1934, 269, 23713, 278, 692, 3383, 267, 649, 2322, 938, 2609, 3330, 540, 602, 267, 543, 649, 5094, 1142, 540, 519, 2609, 609, 513, 26893, 269, 25320, 272, 692, 6546, 568, 1175, 1018, 568, 8345, 593, 513, 1826, 1448, 540, 2070, 269, 25320, 276, 692, 2252, 649, 1616, 547, 267, 649, 666, 849, 2012, 891, 281, 649, 666, 6430, 267, 834, 296, 786, 2012, 2715, 272, 267, 273, 267, 274, 348, 282, 594, 786, 2012, 602, 1305, 589, 1701, 26522, 271, 692, 4517, 952, 594, 1616, 547, 267, 594, 666, 849, 2012, 519, 1305, 2715, 13906, 267, 27594, 348, 645, 267, 1317, 594, 1522, 1616, 547, 581, 2111, 547, 2911, 827, 713, 282, 26522, 277, 692, 663, 3079, 540, 2348, 547, 2161, 2715, 272, 267, 273, 267, 274, 348, 1169, 942, 594, 1616, 547, 2911, 827, 602, 1305, 267, 594, 666, 1175, 2161, 589, 269, 27888, 273, 692, 10454, 1305, 589, 814, 971, 7146, 1606, 1276, 3959, 2437, 610, 834, 1492, 1305, 645, 267, 950, 621, 25998, 609, 621, 29389, 27888, 277, 692, 6546, 1259, 267, 594, 1810, 1405, 723, 547, 2161, 2715, 13906, 267, 27594, 9574, 610, 952, 621, 729, 606, 1256, 3476, 1592, 267, 899, 476, 1015, 610, 476, 2004, 3615, 1862, 28318, 271, 692, 527, 1131, 1376, 547, 1205, 2731, 2182, 267, 18374, 7543, 267, 547, 2161, 269, 28318, 277, 692, 3383, 3079, 267, 649, 666, 1175, 1689, 621, 547, 1210, 513, 2582, 4484, 267, 610, 8726, 3090, 568, 10375, 585, 938, 5301, 269, 28318, 279, 692, 13010, 267, 519, 1931, 602, 519, 2609, 2097, 538, 814, 1100, 1198, 593, 519, 1305, 3294, 269, 30203, 276, 692, 3383, 267, 519, 1931, 602, 519, 2609, 2408, 538, 3085, 1405, 2339, 282, 649, 1810, 1405, 1416, 827, 519, 1931, 1934, 269, 26289, 271, 692, 288, 815, 2715, 272, 267, 273, 267, 274, 9574, 855, 602, 568, 519, 3169, 1482, 3364, 607, 6031, 2715, 274, 267, 273, 267, 272, 9574, 543, 602, 568, 519, 3169, 1482, 3364, 607, 6031, 2715, 273, 267, 272, 267, 274, 1070, 26289, 276, 692, 528, 1022, 824, 1259, 596, 723, 540, 19280, 1346, 1919, 269, 25171, 272, 692, 763, 1271, 851, 568, 602, 621, 814, 782, 540, 1346, 2609, 282, 519, 1259, 602, 789, 2097, 538, 734, 26132, 4025, 538, 1899, 734, 7474, 3085, 1405, 2339, 269, 25171, 275, 692, 2005, 568, 1175, 519, 1895, 602, 596, 616, 6236, 267, 711, 519, 1808, 32089, 540, 519, 1899, 269, 22903, 272, 692, 5472, 1318, 267, 602, 568, 519, 2596, 2856, 540, 513, 1305, 269, 22903, 277, 692, 2252, 649, 1616, 547, 4766, 513, 1305, 267, 972, 616, 513, 19619, 540, 1114, 2081, 547, 4766, 621, 269, 22903, 280, 692, 2080, 616, 519, 1614, 1034, 1455, 2081, 602, 596, 616, 2469, 547, 1294, 269, 28512, 274, 692, 17445, 569, 6031, 782, 540, 519, 2609, 281, 649, 1223, 979, 998, 543, 267, 899, 594, 729, 6158, 827, 1354, 609, 519, 1225, 569, 25329, 543, 519, 26893, 267, 28512, 277, 692, 933, 1175, 2161, 1142, 540, 519, 2609, 3330, 540, 519, 1305, 281, 4672, 267, 1216, 267, 9252, 269, 28873, 273, 692, 5978, 1305, 814, 1614, 2609, 282, 649, 723, 1175, 1767, 1142, 540, 519, 1614, 2609, 282, 602, 568, 519, 1034, 2596, 1505, 269, 28873, 278, 692, 2171, 1175, 2161, 1018, 568, 3330, 540, 519, 1305, 269, 271, 2537, 273, 692, 5194, 1259, 568, 602, 649, 666, 5693, 4766, 782, 540, 519, 2818, 540, 519, 1305, 269, 271, 2537, 275, 692, 3383, 267, 649, 849, 1522, 4766, 621, 1510, 621, 1373, 3330, 540, 519, 1225, 569, 25329, 282, 855, 3006, 649, 786, 2965, 4734, 621, 3330, 540, 519, 1225, 569, 25329, 269, 271, 2537, 279, 692, 763, 1448, 540, 621, 568, 602, 649, 616, 2111, 547, 2161, 267, 834, 17764, 267, 9811, 267, 602, 568, 3388, 602, 2306, 621, 909, 1701, 271, 2190, 274, 692, 3383, 267, 649, 1223, 1118, 513, 1305, 856, 540, 519, 1101, 476, 3199, 2609, 540, 519, 13350, 3349, 267, 865, 649, 1131, 917, 602, 7250, 1131, 581, 538, 519, 1305, 282, 271, 2190, 278, 692, 26375, 1131, 581, 538, 519, 1305, 282, 16864, 1131, 581, 538, 519, 1305, 282, 782, 12204, 540, 1114, 2609, 28276, 274, 692, 732, 2469, 547, 581, 3330, 540, 519, 1305, 267, 909, 2394, 519, 5216, 328, 996, 3693, 269, 28276, 279, 692, 763, 5216, 328, 996, 3693, 1131, 581, 538, 621, 282, 519, 32210, 23867, 3693, 1131, 711, 581, 538, 621, 269, 271, 2918, 272, 692, 3383, 267, 1776, 1259, 540, 10503, 621, 568, 547, 1175, 2161, 1018, 568, 3330, 540, 621, 281, 1934, 568, 1018, 2306, 909, 1250, 1305, 267, 543, 972, 649, 979, 734, 933, 723, 513, 1305, 269, 271, 2918, 276, 692, 763, 3803, 1259, 602, 649, 666, 798, 621, 568, 281, 649, 666, 4766, 519, 2298, 267, 610, 621, 949, 581, 7907, 267, 602, 1142, 4759, 540, 519, 1305, 814, 538, 1455, 269, 271, 2767, 273, 692, 3383, 267, 519, 1259, 602, 596, 1616, 547, 1612, 572, 713, 734, 1492, 1259, 596, 1616, 547, 1224, 713, 734, 529, 281, 834, 343, 568, 6031, 713, 1934, 568, 1018, 938, 1305, 568, 1500, 909, 540, 1701, 271, 2767, 280, 692, 5978, 1305, 568, 1500, 909, 540, 782, 540, 519, 1535, 282, 543, 1287, 267, 596, 1224, 713, 7299, 3046, 607, 6031, 834, 7945, 602, 1701, 271, 2764, 279, 692, 3383, 267, 782, 540, 519, 1535, 971, 602, 1535, 568, 519, 1101, 2012, 540, 513, 4116, 693, 3447, 1807, 2593, 1131, 581, 713, 1305, 269, 27157, 272, 692, 5194, 1259, 540, 2542, 602, 7299, 3046, 568, 519, 2262, 834, 3602, 257, 734, 257, 343, 1141, 1535, 568, 519, 1101, 2012, 540, 513, 4116, 693, 3447, 1807, 2593, 1701, 27157, 280, 692, 12179, 2251, 786, 798, 1934, 267, 865, 1279, 607, 621, 568, 3478, 2066, 519, 2856, 602, 713, 3364, 1934, 267, 538, 519, 2034, 851, 267, 568, 10503, 519, 2298, 31648, 280, 692, 7528, 1600, 540, 519, 3364, 538, 519, 1101, 851, 282, 865, 713, 851, 267, 519, 2034, 851, 267, 6257, 1018, 4523, 936, 1934, 538, 519, 1101, 851, 269, 271, 3953, 279, 692, 3383, 267, 585, 713, 1305, 267, 952, 621, 568, 1535, 971, 602, 1535, 568, 519, 1101, 2012, 540, 513, 4116, 693, 3447, 1807, 2593, 267, 1287, 621, 568, 2469, 547, 581, 513, 19619, 540, 1101, 4408, 30033, 275, 692, 1993, 782, 540, 519, 3610, 945, 4001, 693, 3447, 1807, 2593, 269, 271, 4097, 272, 692, 7069, 2012, 568, 27673, 282, 594, 993, 3450, 693, 3447, 1807, 2593, 630, 26238, 596, 616, 8384, 713, 1318, 1631, 1040, 271, 4097, 276, 692, 3383, 267, 602, 1797, 602, 834, 309, 514, 1417, 257, 568, 3330, 540, 713, 1305, 269, 271, 4097, 280, 692, 2467, 616, 2469, 547, 581, 513, 19619, 540, 824, 4408, 282, 952, 596, 979, 543, 1413, 693, 782, 540, 519, 3610, 267, 596, 786, 1294, 513, 2898, 19619, 540, 1114, 1101, 4408, 269, 271, 3374, 273, 692, 3719, 649, 917, 585, 2386, 602, 27673, 568, 835, 540, 519, 4408, 3330, 540, 519, 1305, 269, 271, 3374, 277, 692, 15124, 256, 1284, 666, 849, 21843, 1919, 734, 604, 606, 3693, 568, 8659, 538, 519, 1305, 267, 543, 649, 1616, 547, 2911, 827, 606, 3693, 271, 3607, 271, 692, 7424, 538, 602, 1305, 267, 649, 723, 513, 10375, 3090, 547, 1397, 621, 267, 713, 3090, 1318, 1934, 281, 834, 324, 2211, 540, 2437, 834, 935, 22633, 538, 1701, 271, 3607, 278, 692, 2690, 1383, 267, 952, 589, 568, 3160, 547, 519, 1305, 2715, 320, 14720, 22698, 9574, 1287, 649, 917, 602, 513, 568, 8659, 538, 589, 282, 536, 568, 8659, 538, 589, 282, 524, 568, 8659, 538, 589, 267, 271, 4391, 274, 692, 20357, 789, 4951, 909, 1318, 1934, 538, 938, 6609, 540, 1018, 519, 1305, 729, 269, 271, 4343, 276, 692, 3383, 267, 649, 917, 602, 513, 568, 606, 3693, 538, 621, 282, 543, 649, 946, 713, 3090, 1318, 1934, 547, 1397, 834, 324, 2211, 540, 1701, 271, 4343, 279, 692, 2171, 666, 849, 2911, 827, 519, 2856, 540, 29162, 630, 604, 513, 1305, 568, 8659, 3330, 540, 1776, 1305, 1040, 271, 4375, 276, 692, 2252, 606, 3003, 1305, 568, 8659, 538, 1776, 1305, 267, 1287, 18005, 630, 553, 513, 6101, 4214, 264, 602, 1797, 602, 1169, 3693, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1250, 30230, 4771, 519, 3364, 3982, 569, 563, 31535, 602, 519, 6228, 540, 971, 3615, 568, 2009, 267, 29439, 26075, 1287, 7140, 547, 519, 9860, 540, 2790, 2592, 607, 6169, 269, 1677, 798, 713, 267, 646, 14405, 513, 11984, 1063, 9345, 543, 1620, 1765, 19960, 1588, 1373, 513, 1875, 268, 1782, 340, 2065, 834, 325, 659, 8372, 540, 1702, 547, 519, 1560, 799, 568, 5612, 1459, 547, 621, 1496, 1261, 3096, 606, 1383, 540, 713, 547, 12172, 281, 1879, 594, 723, 513, 2790, 3239, 540, 513, 6906, 267, 585, 1383, 267, 594, 1810, 1405, 1175, 1174, 602, 621, 568, 513, 4137, 22112, 676, 1614, 3515, 282, 594, 849, 834, 19972, 693, 257, 519, 3515, 607, 1498, 789, 941, 1459, 547, 1250, 2247, 781, 3750, 563, 4517, 713, 568, 1018, 594, 1289, 2348, 513, 2790, 3239, 269, 1879, 594, 1616, 547, 1589, 540, 513, 31625, 6782, 2073, 594, 1174, 602, 621, 568, 513, 4137, 609, 513, 8536, 5011, 607, 1134, 607, 594, 1174, 602, 513, 6906, 568, 513, 4137, 609, 1614, 267, 855, 594, 666, 1405, 4952, 922, 5011, 610, 834, 19972, 257, 693, 873, 607, 1498, 789, 941, 1459, 4935, 594, 7747, 602, 513, 2027, 4674, 540, 2247, 568, 2556, 547, 519, 957, 540, 9345, 267, 799, 568, 711, 2838, 547, 10703, 1516, 610, 1620, 740, 4111, 754, 636, 6902, 543, 713, 2027, 11851, 542, 540, 2247, 5693, 2982, 519, 3017, 1063, 9345, 543, 6986, 703, 601, 3005, 16697, 26559, 1696, 6457, 1470, 533, 3120, 563, 4263, 713, 1448, 267, 646, 814, 1152, 3254, 602, 741, 6228, 1223, 10375, 569, 2491, 713, 2790, 1184, 269, 1677, 3489, 713, 6169, 267, 646, 1101, 8039, 1010, 22402, 585, 519, 2405, 14591, 2443, 602, 519, 12823, 3112, 581, 11967, 543, 1018, 646, 568, 6026, 834, 2421, 2470, 257, 1281, 711, 723, 1454, 3841, 775, 269, 1717, 267, 646, 5784, 891, 7440, 1369, 513, 1007, 2796, 282, 1310, 1603, 25990, 594, 267, 646, 814, 9863, 519, 6228, 540, 5128, 543, 540, 513, 3501, 2696, 563, 13295, 267, 29439, 26075, 26357, 3533, 547, 15997, 540, 519, 6498, 1063, 519, 1560, 543, 2247, 543, 602, 1570, 1919, 2291, 281, 19577, 585, 519, 1560, 1373, 3982, 689, 519, 2247, 898, 568, 2009, 585, 2696, 547, 1711, 4376, 594, 666, 5693, 543, 3982, 569, 13498, 269, 1403, 2696, 5932, 1945, 547, 581, 4830, 540, 1776, 267, 789, 616, 3982, 689, 1142, 824, 563, 296, 5693, 543, 3982, 569, 1174, 1250, 6228, 607, 513, 3206, 3364, 799, 1281, 711, 2154, 519, 6228, 540, 513, 1560, 269, 1924, 2696, 666, 1711, 513, 3206, 3364, 10446, 540, 513, 1560, 269, 594, 5693, 543, 3982, 569, 1174, 1250, 1560, 607, 606, 6905, 3364, 799, 1281, 711, 2154, 513, 2247, 269, 1924, 2696, 666, 1711, 513, 1560, 10446, 540, 513, 2247, 563, 3383, 1250, 2247, 568, 513, 4641, 3982, 689, 1250, 1560, 269, 1924, 594, 513, 3206, 3364, 666, 2291, 1510, 513, 1560, 269, 19577, 540, 519, 4641, 540, 5007, 1570, 1919, 594, 723, 513, 834, 17641, 31007, 257, 547, 3494, 538, 519, 4641, 540, 5007, 1570, 1919, 1813, 547, 1250, 12823, 269, 2696, 1590, 723, 2813, 803, 609, 713, 2470, 269, 1403, 4830, 1570, 1919, 798, 711, 2291, 267, 2696, 568, 513, 13587, 1853, 563, 3719, 2696, 568, 711, 513, 13587, 1853, 269, 1924, 1570, 1919, 2291, 543, 2270, 519, 3601, 1898, 547, 873, 269, 2991, 1210, 891, 1079, 7440, 547, 7006, 601, 1151, 2354, 1143, 543, 25949, 2073, 29439, 26075, 4667, 547, 723, 16309, 538, 10747, 4641, 607, 1373, 538, 1614, 2694, 281, 2696, 12808, 2073, 8186, 267, 543, 1570, 1919, 1312, 13113, 269, 1261, 32195, 676, 5466, 2067, 9259, 602, 1522, 2408, 547, 4161, 1010, 6138, 267, 971, 607, 943, 656, 558, 17873, 2073, 9909, 267, 543, 5323, 10043, 563, 30606, 687, 543, 30491, 314, 12575, 9948, 29439, 26075, 11643, 1010, 12377, 547, 1082, 15806, 267, 31188, 2103, 543, 513, 2845, 6509, 1354, 13629, 519, 2405, 14591, 563, 19853, 1843, 687, 543, 1010, 30491, 1082, 540, 799, 616, 3833, 3573, 941, 3769, 538, 519, 1101, 8313, 540, 519, 2405, 14591, 269, 769, 519, 2776, 2183, 547, 519, 2405, 14591, 267, 29439, 26075, 12134, 519, 5467, 834, 2254, 547, 1780, 10385, 593, 519, 2405, 14591, 2394, 789, 723, 1044, 2186, 2614, 547, 1224, 998, 782, 891, 1843, 687, 543, 1250, 30491, 547, 873, 269, 634, 5722, 1843, 832, 941, 267, 538, 1931, 540, 519, 5036, 607, 789, 941, 3370, 2433, 634, 10656, 31188, 1014, 29312, 595, 831, 639, 2977, 534, 632, 918, 831, 2443, 1101, 1305, 540, 1843, 687, 563, 26452, 834, 1492, 860, 2103, 543, 15806, 257, 10356, 676, 29439, 26075, 262, 3659, 543, 9030, 5330, 550, 267, 29443, 541, 3057, 514, 631, 619, 26413, 2443, 2034, 1305, 540, 1843, 687, 634, 31188, 1014, 543, 2845, 6509, 4165, 334, 710, 1488, 3534, 592, 323, 2443, 8772, 1305, 634, 14544, 24839, 717, 817, 754, 328, 2443, 11359, 1305, 29439, 26075, 5206, 602, 782, 540, 891, 1223, 581, 3362, 25323, 563, 8448, 1843, 687, 616, 811, 3532, 267, 543, 538, 930, 2665, 621, 568, 11786, 2436, 29439, 26075, 20781, 547, 873, 6707, 3277, 547, 20122, 15816, 262, 1843, 687, 269, 5246, 574, 26433, 267, 602, 646, 1522, 3560, 519, 3003, 8608, 689, 519, 1747, 621, 13026, 547, 1776, 267, 18796, 1152, 513, 1448, 602, 729, 6109, 543, 1799, 990, 762, 282, 865, 267, 849, 594, 4927, 581, 13886, 547, 7038, 519, 5207, 6788, 267, 952, 594, 993, 26752, 2614, 547, 3605, 1152, 835, 3364, 602, 568, 1978, 543, 1802, 321, 3386, 563, 5327, 322, 26075, 1703, 568, 267, 29439, 26075, 6811, 267, 835, 3364, 602, 666, 581, 1634, 609, 2347, 22979, 267, 543, 689, 799, 2417, 1702, 666, 581, 6508, 563, 5327, 322, 26075, 13187, 602, 267, 593, 519, 13429, 602, 972, 941, 513, 13587, 1853, 945, 7307, 547, 13587, 633, 803, 883, 18468, 513, 1390, 1082, 1919, 267, 971, 513, 13587, 1853, 1223, 711, 13587, 633, 803, 607, 547, 1250, 6228, 281, 8935, 23336, 1652, 267, 1287, 267, 594, 2291, 267, 2094, 594, 993, 13587, 1882, 282, 543, 267, 1577, 1864, 13587, 633, 803, 607, 646, 949, 267, 646, 666, 2760, 3142, 621, 827, 602, 594, 993, 4986, 267, 865, 1279, 607, 594, 4927, 581, 6857, 602, 594, 993, 1945, 269, 13018, 267, 29439, 26075, 5526, 547, 1491, 1018, 568, 1898, 547, 519, 1641, 547, 1331, 782, 543, 1152, 922, 6857, 4555, 563, 3891, 2798, 856, 602, 621, 4667, 3833, 2067, 547, 1589, 540, 6000, 607, 2348, 4555, 540, 799, 649, 616, 711, 6857, 281, 634, 2278, 23933, 621, 1524, 607, 1978, 602, 972, 666, 581, 4986, 538, 1864, 267, 538, 865, 2484, 607, 646, 568, 513, 3206, 3364, 267, 540, 799, 646, 568, 711, 3222, 267, 855, 621, 4667, 547, 803, 602, 713, 568, 7301, 563, 3719, 782, 540, 721, 666, 15983, 1294, 602, 972, 949, 581, 1082, 1919, 538, 938, 2247, 540, 799, 519, 2247, 568, 711, 3222, 7868, 3163, 540, 9406, 1955, 28609, 23006, 269, 12344, 713, 1373, 568, 711, 2696, 267, 1498, 269, 2353, 602, 594, 723, 267, 909, 547, 713, 4090, 267, 7608, 607, 22234, 540, 519, 5207, 5168, 543, 22979, 267, 594, 4607, 2901, 689, 610, 998, 519, 12823, 563, 4263, 2063, 594, 723, 4362, 621, 2443, 2219, 256, 589, 3364, 602, 14659, 269, 11569, 267, 594, 5156, 713, 585, 865, 1279, 602, 594, 4636, 569, 3357, 547, 1589, 602, 594, 9228, 621, 5693, 269, 3733, 4126, 568, 602, 519, 2626, 547, 713, 786, 6556, 513, 1007, 6169, 540, 519, 6228, 540, 513, 3501, 1373, 2443, 513, 6169, 602, 621, 786, 581, 4443, 585, 803, 547, 1832, 538, 2247, 1256, 950, 594, 6001, 1250, 5834, 563, 296, 949, 1134, 1265, 824, 1919, 646, 814, 2944, 4171, 4128, 1714, 8775, 803, 282, 543, 602, 568, 1100, 2601, 547, 8969, 1010, 6228, 269, 1809, 519, 6071, 1249, 602, 2696, 2813, 803, 568, 513, 1434, 2601, 585, 3206, 602, 594, 993, 11214, 1500, 538, 1010, 3239, 543, 6010, 8864, 267, 543, 602, 594, 13498, 602, 6010, 8864, 538, 519, 1482, 1259, 602, 594, 13498, 8885, 563, 268, 595, 4456, 16576, 2839, 12283, 17628, 299, 23360, 674, 7644, 4306, 19419, 17109, 23140, 21815, 8991, 21398, 10498, 454, 268, 589, 674, 7644, 4306, 2910, 7838, 10345, 5442, 674, 308, 313, 313, 312, 700, 8104, 2975, 7300, 454, 268, 966, 4456, 18444, 3918, 14192, 2752, 22494, 674, 7644, 4306, 21398, 10498, 7300, 454, 268, 31031, 308, 4811, 273, 29206, 26177, 32530, 16739, 7300, 454, 268, 17834, 10292, 4041, 25265, 7419, 2975, 9569, 15760, 808, 302, 6224, 2894, 590, 6224, 21135, 2207, 476, 273, 21254, 11581, 296, 3582, 7300, 454, 268, 670, 2464, 808, 19851, 10691, 8946, 2969, 5442, 15674, 9358, 661, 19447, 10498, 454, 268, 19419, 303, 7644, 2969, 12088, 32212, 2975, 12114, 21398, 10498, 306, 7300, 454, 268, 25723, 289, 7728, 310, 27912, 299, 7419, 294, 20037, 11404, 298, 7968, 27426, 7300, 454, 268, 16286, 476, 29637, 476, 1556, 8025, 7300, 454, 268, 19845, 312, 476, 13970, 5379, 966, 8656, 297, 19611, 2464, 16692, 2910, 300, 2207, 5746, 302, 7300, 454, 268, 5990, 24639, 6195, 2177, 306, 5746, 302, 4785, 631, 18853, 21398, 10498 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 262, 543, 1265, 6780, 948, 585, 824, 513, 1004, 781, 1686, 540, 519, 8087, 2829, 269, 3848, 476, 1691, 2055, 721, 1686, 910, 3184, 476, 272, 3992, 476, 276, 649, 786, 2328, 513, 2688, 1557, 3732, 593, 3184, 476, 1691, 4481, 585, 596, 585, 1152, 1269, 16928, 271, 270, 2457, 1931, 1631, 563, 8698, 4967, 910, 2462, 4605, 2055, 3184, 476, 1691, 689, 1686, 1158, 1277, 693, 5757, 321, 754, 1164, 2462, 4605, 2055, 476, 272, 538, 9236, 519, 24067, 23693, 538, 519, 5643, 545, 553, 609, 519, 678, 17892, 267, 24349, 267, 544, 7676, 531, 269, 570, 321, 272, 3184, 476, 1691, 268, 1557, 4135, 325, 23345, 676, 1395, 3821, 4688, 512, 321, 272, 3184, 476, 1691, 268, 1557, 4135, 325, 585, 2663, 4688, 30602, 781, 1686, 4116, 4280, 1864, 1946, 865, 1082, 24141, 1004, 269, 7442, 721, 1686, 3406, 713, 3135, 1753, 1557, 543, 981, 3341, 1557, 5578, 5751, 3184, 476, 1691, 5542, 3758, 1826, 12835, 3758, 2012, 6609, 269, 3848, 476, 2190, 519, 1390, 12955, 281, 713, 729, 950, 1472, 562, 27197, 2600, 540, 519, 5065, 22988, 5747, 799, 729, 3361, 676, 3676, 543, 519, 21570, 753, 4947, 883, 519, 5643, 545, 553, 782, 1317, 519, 5065, 22988, 1185, 1100, 12046, 547, 621, 865, 789, 3533, 3893, 621, 543, 5747, 563, 25721, 2313, 7819, 1686, 3184, 476, 1321, 2689, 3381, 910, 8653, 281, 875, 547, 2328, 513, 1279, 1557, 2243, 630, 19008, 264, 585, 3284, 1686, 630, 777, 2313, 267, 3284, 1158, 267, 7819, 1686, 267, 3184, 476, 1691, 910, 8653, 15545, 7442, 1158, 1686, 910, 2081, 540, 519, 1158, 1433, 676, 678, 30065, 518, 3184, 476, 1691, 281, 2804, 14759, 281, 16450, 543, 12343, 476, 13970, 271, 268, 11260, 271, 5758, 269, 6258, 1158, 1686, 3184, 476, 1691, 609, 1863, 7317, 15460, 3442, 689, 476, 4335, 1114, 5036, 540, 1158, 1686, 3184, 476, 1691, 15460, 593, 28866, 269, 3848, 1948, 1691, 281, 585, 3101, 519, 3084, 621, 4299, 1686, 540, 993, 543, 1158, 646, 729, 9565, 607, 513, 4052, 14544, 543, 998, 1010, 4195, 543, 7524, 3594, 269, 4828, 16311, 16311, 23602, 3406, 4320, 476, 277, 3184, 476, 1691, 1775, 786, 1118, 513, 6085, 593, 519, 1360, 1101, 4845, 540, 519, 1686, 540, 5137, 538, 519, 23573, 563, 6637, 476, 1691, 281, 585, 3101, 519, 3084, 4346, 630, 9692, 271, 910, 476, 5908, 271, 264, 1589, 538, 2804, 543, 1514, 2474, 2523, 585, 713, 3184, 13314, 729, 3395, 693, 713, 942, 538, 1082, 2081, 1589, 2059, 519, 1739, 4798, 269, 7442, 24067, 1686, 3184, 14592, 596, 1175, 8737, 3184, 476, 1691, 281, 6963, 543, 25430, 538, 519, 22344, 5939, 8799, 960, 3594, 602, 5249, 269, 3848, 476, 1691, 1686, 3284, 2313, 3184, 476, 1691, 3184, 476, 1626, 3540, 2112, 476, 279, 628, 3446, 649, 786, 2328, 513, 2688, 1557, 3732, 593, 3184, 476, 1691, 1686, 4481, 269, 2974, 1686, 7262, 10340, 1557, 2055, 4994, 2985, 7139, 4084, 910, 2019, 1775, 3184, 476, 1691, 281, 689, 14207, 547, 694, 20896, 267, 476, 6977, 271, 268, 5908, 272, 563, 6637, 476, 1691, 910, 519, 2063, 1390, 9930, 19631, 2591, 281, 689, 669, 532, 326, 529, 737, 7315, 547, 4626, 584, 2757, 6965, 270, 22967, 1603, 23119, 513, 2518, 1686, 3184, 476, 1321, 2689, 3284, 269, 11683, 2042, 538, 7819, 2825, 1686, 1557, 2055, 593, 11271, 476, 279, 268, 1428, 543, 3594, 538, 3184, 476, 280, 1603, 2825, 1686, 538, 3184, 476, 272, 543, 269, 1284, 786, 2328, 513, 2688, 1557, 3732, 593, 1158, 1686, 3184, 476, 1691, 585, 596, 585, 1152, 1269, 16928, 271, 270, 2457, 1931, 1631, 269, 10261, 1557, 3732, 593, 3184, 476, 1691, 1686, 4481, 585, 596, 585, 1152, 1269, 15782, 271, 270, 2457, 1931, 1631, 512, 11721, 281, 14646, 1119, 2401, 23163, 29165, 10036, 781, 7819, 1062, 535, 563, 6637, 476, 1691, 1018, 941, 519, 6859, 543, 2101, 18517, 540, 519, 16831, 1137, 540, 3408, 17298, 676, 24349, 267, 1135, 29498, 2103, 267, 543, 824, 1875, 2914, 3480, 9082, 3274, 2322, 267, 782, 519, 5018, 2516, 1500, 16831, 1137, 1317, 789, 941, 8049, 827, 741, 4478, 5054, 269, 3848, 476, 1691, 3184, 476, 1428, 3184, 476, 1626, 3184, 476, 1704, 3184, 476, 1240, 1557, 2055, 2790, 3635, 3238, 4974, 1686, 519, 1480, 626, 5640, 540, 519, 269, 3848, 476, 1691, 519, 15713, 4651, 781, 24500, 522, 519, 2565, 1974, 538, 7819, 1686, 267, 2370, 267, 6960, 891, 21368, 1058, 1106, 519, 4493, 585, 707, 1557, 281, 952, 269, 6258, 1686, 3594, 3184, 476, 1691, 609, 1863, 7317, 15460, 3442, 689, 476, 4335, 1114, 5036, 540, 1686, 3594, 3184, 476, 1691, 15460, 593, 28866, 269, 0, 1692, 723, 20834, 5314, 543, 4655, 9927, 3909, 543, 6803, 9163, 538, 24230, 26785, 286, 5131, 1557, 256, 8281, 1631, 454, 12709, 3436, 2160, 3436, 15348, 3436, 1215, 723, 20834, 5314, 543, 4655, 9927, 3909, 543, 6803, 9163, 538, 24230, 26785, 888, 1692, 723, 20834, 5314, 543, 4655, 9927, 3909, 543, 6803, 9163, 538, 24230, 26785, 888, 2791, 666, 4647, 713, 1557, 585, 1863, 269, 2353, 596, 991, 547, 798, 568, 11578, 543, 10505, 693, 2547, 835, 540, 707, 3594, 547, 721, 563, 7775, 596, 666, 6718, 713, 1557, 585, 1175, 1269, 273, 14678, 1510, 11578, 532, 454, 12606, 338, 547, 4266, 912, 347, 9293, 281, 476, 1220, 271, 1923, 4427, 4784, 281, 476, 1704, 5937, 1815, 268, 1220, 275, 454, 301, 12458, 1923, 7089, 540, 3817, 281, 1923, 11711, 6943, 281, 6478, 1547, 25269, 454, 20373, 1103, 713, 1957, 621, 568, 11130, 602, 5693, 3989, 6803, 543, 3909, 9163, 798, 711, 2291, 1369, 24230, 26785, 269, 6715, 6233, 3069, 609, 12170, 2963, 269, 769, 1880, 519, 1557, 786, 13404, 593, 875, 519, 5395, 321, 2146, 814, 2097, 547, 2543, 519, 24230, 990, 534, 11662, 607, 922, 1378, 998, 519, 24230, 990, 534, 7242, 267, 799, 267, 998, 922, 2178, 8100, 547, 519, 7092, 543, 4655, 540, 519, 5395, 321, 1004, 267, 814, 2097, 547, 3337, 519, 3961, 543, 1582, 268, 13548, 540, 519, 5395, 321, 1004, 563, 763, 2856, 540, 3961, 568, 1950, 543, 972, 616, 2178, 22195, 936, 1018, 519, 3169, 2188, 799, 7587, 675, 606, 3961, 269, 23514, 9469, 630, 1960, 277, 264, 15853, 15387, 3961, 568, 519, 1184, 540, 1028, 21899, 610, 1226, 908, 13951, 609, 1945, 3116, 269, 11524, 2226, 602, 3961, 25856, 1472, 811, 2241, 14461, 6803, 3515, 269, 6270, 513, 2566, 593, 14940, 568, 547, 4413, 519, 9962, 4605, 543, 5337, 2803, 519, 811, 6422, 267, 2479, 4657, 2470, 540, 3961, 1703, 616, 1082, 811, 2188, 693, 1404, 269, 1306, 13660, 6359, 345, 902, 630, 1220, 271, 264, 2306, 2312, 267, 11093, 1932, 1454, 8561, 593, 519, 2956, 540, 14940, 666, 1291, 2686, 543, 2797, 2079, 547, 11716, 971, 1271, 2188, 971, 607, 4008, 267, 4984, 543, 1362, 269, 769, 1210, 519, 1523, 540, 3961, 3079, 540, 14940, 891, 1114, 2010, 540, 7681, 4043, 547, 16937, 543, 30136, 609, 1142, 824, 269, 769, 513, 2147, 1259, 267, 711, 782, 3909, 3604, 616, 693, 519, 1482, 942, 6803, 543, 538, 513, 2147, 1259, 267, 6803, 15523, 949, 711, 581, 5702, 1644, 547, 3909, 3604, 269, 634, 2956, 543, 10083, 540, 4984, 267, 543, 711, 1175, 3274, 14940, 267, 547, 519, 24230, 990, 534, 1966, 3112, 581, 19765, 13846, 269, 24640, 2103, 543, 741, 28929, 16809, 1281, 711, 24049, 547, 835, 1880, 4984, 855, 5103, 713, 267, 4984, 814, 1044, 519, 2014, 540, 1390, 11634, 3359, 538, 519, 24640, 1014, 3961, 936, 519, 1296, 269, 24640, 1014, 3909, 1918, 13920, 538, 24230, 26785, 814, 552, 13554, 1063, 23597, 543, 6129, 14269, 12356, 585, 3236, 563, 12606, 713, 1557, 538, 2407, 1631, 2336, 9617, 14202, 693, 835, 540, 707, 3594, 547, 938, 6538, 543, 14678, 4647, 707, 5542, 256, 32310, 3217, 7643, 454, 4467, 906, 543, 8039, 454, 18800, 338, 616, 2854, 676, 2818, 945, 723, 22434, 519, 1557, 454, 5591, 8292, 2943, 269, 1403, 596, 4647, 519, 1557, 596, 666, 2689, 621, 19952, 269, 0, 28097, 892, 519, 21471, 540, 9006, 823, 676, 13275, 695, 2643, 1442, 547, 581, 1312, 513, 5636, 664, 543, 6408, 695, 2643, 1442, 568, 1373, 21471, 540, 9006, 823, 1557, 269, 769, 713, 1557, 1775, 786, 2119, 547, 3605, 568, 695, 2643, 1442, 513, 5636, 664, 610, 513, 6408, 267, 538, 519, 13275, 12335, 1404, 968, 1492, 21471, 540, 9006, 823, 892, 621, 568, 2352, 547, 2161, 952, 695, 2643, 1442, 269, 590, 1506, 6674, 6408, 610, 5636, 664, 1557, 21471, 540, 9006, 823, 1557, 568, 695, 2643, 1442, 513, 5636, 664, 610, 6408, 10010, 547, 1010, 7938, 9231, 2943, 10169, 2328, 585, 2852, 9601, 948, 269, 12834, 281, 695, 2643, 1442, 689, 12335, 781, 519, 21471, 540, 9006, 823, 729, 811, 6408, 982, 5636, 1014, 1082, 540, 1010, 15151, 9409, 7592, 616, 11911, 547, 1864, 998, 14882, 269, 634, 21471, 540, 9006, 823, 281, 568, 695, 2643, 1442, 513, 5636, 664, 610, 513, 6408, 1557, 476, 279, 5379, 1913, 1923, 476, 275, 3817, 4352, 695, 2643, 1442, 568, 10413, 676, 519, 17403, 540, 1010, 2881, 638, 18857, 8258, 676, 795, 612, 3821, 267, 2016, 547, 563, 763, 3735, 31303, 2540, 1404, 476, 391, 506, 1492, 21471, 540, 9006, 823, 262, 729, 695, 2643, 1442, 513, 6408, 610, 513, 5636, 664, 1557, 4143, 1557, 10372, 585, 729, 695, 2643, 1442, 513, 6408, 610, 513, 269, 5131, 2165, 1957, 593, 21471, 540, 9006, 823, 910, 695, 2643, 1442, 281, 5636, 664, 610, 6408, 2139, 11207, 1863, 693, 4541, 4574, 1260, 267, 519, 4102, 1863, 2165, 1957, 2146, 269, 590, 1506, 6674, 568, 513, 6408, 540, 519, 2486, 1472, 1864, 513, 2688, 1557, 3732, 593, 695, 2643, 1442, 281, 6408, 610, 5636, 664, 21471, 540, 9006, 823, 1557, 7291, 563, 1103, 519, 21471, 540, 9006, 823, 875, 1281, 12335, 1459, 1312, 695, 2643, 1442, 607, 1312, 6408, 543, 5636, 664, 2429, 519, 1404, 267, 2048, 1492, 21471, 540, 9006, 823, 8730, 695, 2643, 1442, 269, 769, 12335, 779, 21471, 540, 9006, 823, 267, 695, 2643, 1442, 568, 519, 4295, 540, 782, 678, 31454, 12335, 781, 21471, 540, 9006, 823, 1557, 267, 568, 695, 2643, 1442, 513, 6408, 610, 5636, 664, 3446, 513, 269, 590, 1506, 6674, 267, 5636, 664, 610, 6408, 519, 21471, 540, 9006, 823, 795, 2317, 476, 279, 628, 267, 476, 1001, 272, 538, 519, 1404, 519, 21471, 540, 9006, 823, 695, 2643, 1442, 568, 9277, 547, 581, 519, 16502, 267, 519, 4214, 540, 563, 3674, 695, 2643, 1442, 513, 5636, 664, 610, 6408, 1644, 28168, 519, 21471, 540, 9006, 823, 3594, 519, 21471, 540, 9006, 823, 9899, 695, 2643, 1442, 281, 6408, 610, 5636, 1014, 269, 590, 1506, 6674, 519, 6408, 3594, 538, 513, 7260, 267, 1433, 267, 610, 1404, 972, 568, 2356, 513, 6408, 543, 513, 5636, 664, 621, 568, 2356, 1360, 2653, 547, 2995, 519, 1079, 6306, 267, 519, 6408, 568, 519, 835, 602, 269, 6987, 847, 338, 689, 713, 3561, 4367, 795, 699, 3240, 11425, 3419, 22222, 7005, 476, 13923, 21471, 540, 9006, 823, 476, 274, 268, 277, 268, 876, 695, 2643, 1442, 281, 5636, 664, 610, 6408, 538, 519, 519, 21471, 540, 9006, 823, 267, 782, 563, 4537, 6832, 21471, 540, 9006, 823, 1557, 1775, 723, 1044, 4974, 519, 1404, 519, 21471, 540, 9006, 823, 2854, 676, 13275, 12335, 519, 1404, 9135, 568, 12416, 543, 621, 568, 1305, 538, 519, 269, 634, 21471, 540, 9006, 823, 910, 695, 2643, 1442, 281, 5636, 664, 610, 6408, 3594, 281, 936, 476, 5197, 267, 1822, 519, 21471, 540, 9006, 823, 910, 695, 2643, 1442, 281, 5636, 664, 610, 6408, 3594, 267, 519, 21471, 540, 9006, 823, 563, 7476, 606, 2626, 585, 1412, 30524, 596, 2161, 695, 2643, 1442, 568, 513, 6408, 610, 513, 5636, 664, 262, 543, 1265, 6780, 948, 585, 824, 519, 21471, 540, 9006, 823, 2055, 693, 679, 4925, 269, 634, 21471, 540, 9006, 823, 267, 12335, 910, 695, 2643, 1442, 281, 5636, 664, 610, 6408, 269, 1261, 568, 606, 3003, 14316, 676, 5128, 543, 538, 1373, 865, 267, 12250, 1242, 547, 2099, 519, 31672, 540, 513, 2146, 602, 814, 5030, 998, 1296, 540, 24187, 543, 10205, 332, 269, 0, 16920, 871, 593, 27081, 22426, 713, 1382, 1957, 4323, 593, 27081, 22426, 543, 824, 476, 5038, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 2689, 612, 904, 1260, 269, 4828, 593, 27081, 22426, 4323, 910, 3594, 1299, 29622, 2854, 676, 3318, 5830, 1100, 535, 338 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14581, 6435, 281, 5890, 21505, 31230, 281, 1473, 340, 1027, 15444, 293, 2496, 272, 269, 4455, 476, 1428, 267, 476, 1001, 273, 692, 2162, 29871, 1724, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 692, 5331, 513, 726, 4192, 5180, 4496, 8520, 602, 666, 4228, 610, 4579, 269, 769, 513, 3148, 609, 513, 3586, 6419, 2361, 645, 271, 602, 568, 20218, 13902, 547, 519, 7077, 540, 519, 8520, 267, 15475, 602, 519, 8520, 21040, 267, 609, 922, 8953, 3395, 609, 942, 607, 678, 815, 678, 271, 263, 272, 266, 520, 273, 1040, 1306, 519, 8520, 21040, 543, 9428, 25182, 267, 922, 4187, 829, 1770, 3259, 2242, 2687, 547, 681, 815, 681, 271, 263, 272, 17070, 339, 273, 1040, 4855, 606, 4082, 585, 519, 1699, 13251, 538, 519, 8520, 607, 513, 1599, 540, 942, 269, 1677, 2638, 707, 2626, 267, 15475, 602, 645, 271, 815, 476, 274, 269, 1789, 544, 307, 267, 678, 271, 815, 476, 1626, 269, 276, 4699, 267, 681, 271, 815, 476, 278, 269, 4649, 17764, 332, 8276, 267, 513, 815, 476, 271, 269, 25090, 1535, 476, 1015, 268, 275, 521, 273, 267, 543, 536, 815, 476, 271, 269, 276, 3445, 1535, 476, 1015, 268, 273, 521, 273, 269, 1548, 568, 519, 1871, 540, 519, 13251, 1699, 693, 512, 815, 476, 2767, 269, 276, 521, 286, 630, 9616, 281, 12315, 519, 4287, 540, 519, 1699, 1141, 950, 9763, 689, 1657, 513, 2318, 1699, 786, 1847, 4831, 22018, 3772, 24355, 273, 269, 31999, 4834, 692, 309, 815, 16843, 454, 4932, 293, 815, 546, 6600, 12999, 8358, 19049, 454, 325, 12999, 815, 590, 321, 265, 323, 288, 630, 15759, 1537, 540, 12297, 1587, 540, 645, 543, 546, 288, 267, 610, 1923, 289, 1475, 323, 288, 347, 6523, 263, 3445, 264, 538, 713, 2013, 25341, 645, 323, 288, 2020, 274, 269, 634, 3801, 693, 513, 3070, 692, 5575, 267, 1265, 15444, 293, 13251, 543, 1287, 946, 966, 815, 16843, 547, 4194, 585, 594, 269, 901, 568, 519, 3830, 594, 3357, 909, 609, 1384, 296, 6025, 264, 815, 645, 4501, 493, 263, 549, 263, 272, 266, 520, 317, 273, 4297, 317, 273, 14370, 305, 334, 263, 272, 17070, 339, 317, 273, 264, 815, 476, 278, 292, 268, 277, 589, 692, 1607, 2626, 7012, 1405, 2953, 538, 1250, 2228, 6780, 1982, 269, 634, 2942, 1871, 729, 849, 11234, 269, 3973, 267, 594, 556, 1348, 519, 2243, 543, 4718, 519, 851, 827, 519, 3830, 585, 4187, 1373, 829, 1770, 3259, 267, 865, 594, 3893, 713, 3830, 630, 20123, 17586, 1657, 676, 18592, 17107, 296, 6025, 264, 815, 476, 273, 289, 4501, 493, 317, 273, 263, 549, 263, 272, 266, 520, 317, 273, 4297, 317, 274, 14370, 305, 334, 263, 272, 17070, 339, 317, 273, 264, 815, 476, 278, 292, 268, 277, 589, 692, 2005, 4769, 1405, 1689, 1250, 2626, 269, 6904, 3830, 568, 1318, 630, 604, 2901, 264, 2496, 8310, 12995, 281, 4455, 476, 1428, 267, 476, 1001, 273, 454, 273, 269, 4455, 476, 1428, 267, 476, 1001, 273, 692, 2162, 32443, 345, 7666, 344, 692, 10468, 2416, 835, 568, 2953, 269, 1548, 568, 519, 13251, 15444, 293, 538, 519, 8520, 2496, 274, 269, 4455, 476, 1428, 267, 476, 1001, 273, 692, 2162, 29871, 1724, 692, 19675, 581, 910, 323, 6600, 12999, 8358, 19049, 815, 7533, 630, 289, 265, 323, 288, 994, 1492, 12045, 540, 606, 7533, 540, 606, 3830, 609, 2463, 547, 512, 568, 1175, 645, 265, 323, 288, 692, 3383, 1250, 12161, 729, 547, 7340, 547, 16174, 693, 782, 269, 5808, 3591, 780, 288, 815, 3980, 493, 337, 317, 273, 855, 678, 284, 887, 263, 272, 266, 520, 317, 273, 994, 810, 546, 288, 815, 12045, 540, 3980, 493, 263, 549, 263, 272, 266, 520, 317, 273, 8203, 273, 815, 476, 275, 4501, 493, 265, 320, 265, 339, 265, 549, 263, 272, 266, 520, 317, 273, 2020, 4932, 293, 815, 645, 265, 275, 4501, 493, 265, 320, 265, 339, 265, 549, 263, 272, 266, 520, 317, 273, 2020, 9989, 1250, 12045, 1413, 21453, 286, 1656, 267, 729, 594, 1318, 538, 3206, 602, 538, 1931, 547, 1205, 519, 4187, 538, 519, 3830, 966, 815, 16843, 596, 723, 547, 9062, 676, 519, 18592, 1317, 519, 3830, 3947, 4187, 270, 22780, 3259, 2496, 275, 269, 4455, 476, 1626, 267, 476, 1001, 273, 692, 2162, 32443, 345, 7666, 344, 692, 10498, 267, 596, 2811, 593, 519, 1318, 3950, 1631, 269, 2659, 12045, 5654, 15528, 267, 4849, 621, 1058, 581, 678, 271, 317, 273, 269, 1656, 9811, 267, 596, 616, 1318, 602, 2094, 519, 4187, 568, 840, 1770, 3259, 267, 596, 991, 547, 9062, 676, 519, 18592, 780, 276, 269, 4455, 476, 1626, 267, 476, 1001, 273, 692, 2162, 29871, 1724, 692, 12552, 267, 3893, 621, 2439, 277, 269, 4455, 476, 1626, 267, 476, 1001, 273, 692, 2162, 853, 2465, 569, 8355, 692, 763, 1318, 2427, 540, 713, 3830, 568, 519, 13441, 1384, 11377, 4942, 328, 815, 1422, 842, 1422, 11355, 346, 289, 348, 1422, 10383, 546, 315, 11355, 31505, 15732, 3383, 267, 1310, 10442, 4399, 4942, 328, 6025, 29408, 596, 1131, 1287, 1491, 922, 942, 12045, 547, 1205, 519, 900, 325, 269, 1809, 547, 1205, 713, 13441, 267, 596, 1152, 991, 547, 9062, 519, 6419, 2361, 676, 519, 1858, 267, 2094, 692, 11377, 4942, 328, 815, 1422, 842, 1422, 11355, 346, 289, 348, 1422, 10383, 546, 315, 11355, 31505, 348, 815, 22601, 9681, 604, 519, 6419, 2361, 568, 13902, 547, 519, 1858, 543, 568, 7833, 2429, 519, 1858, 269, 3973, 596, 798, 692, 11377, 3667, 346, 655, 325, 348, 815, 28363, 2765, 18097, 315, 4942, 328, 2410, 19049, 20467, 9681, 1103, 1880, 267, 9039, 540, 713, 2115, 547, 4125, 2921, 519, 12045, 540, 519, 1858, 780, 278, 269, 4455, 476, 1704, 267, 476, 1001, 273, 692, 2162, 32443, 345, 7666, 344, 692, 308, 332, 2807, 6343, 286, 1403, 645, 568, 3586, 267, 543, 943, 328, 815, 22601, 267, 1287, 3884, 1405, 546, 263, 12978, 8358, 19049, 815, 645, 2608, 546, 288, 7933, 339, 286, 27355, 1405, 713, 2921, 519, 12045, 540, 519, 1858, 286, 1548, 616, 596, 3843, 547, 2161, 2496, 279, 269, 4455, 476, 1704, 267, 476, 1001, 273, 692, 2162, 853, 2465, 569, 8355, 692, 296, 6415, 31925, 519, 20525, 781, 16166, 269, 898, 5654, 899, 646, 814, 519, 2953, 4082, 585, 519, 9588, 540, 519, 900, 325, 855, 4667, 11821, 593, 519, 1697, 12045, 543, 20803, 14908, 269, 0, 1692, 547, 2422, 2961, 2125, 547, 22210, 2859, 15310, 692, 4415, 782, 519, 1970, 2275, 16808, 543, 1100, 2275, 16808, 11326, 856, 972, 267, 621, 781, 2653, 547, 3494, 602, 19719, 616, 519, 10546, 952, 596, 1616, 547, 6336, 2597, 269, 1717, 267, 2635, 19719, 1683, 707, 1560, 609, 1648, 547, 3635, 543, 948, 1832, 707, 10307, 909, 269, 634, 4950, 568, 2407, 540, 20849, 5796, 593, 3170, 8781, 267, 855, 649, 4076, 1336, 602, 16087, 268, 19464, 267, 519, 2259, 540, 15203, 2362, 2275, 16808, 543, 1970, 2275, 16808, 2395, 267, 568, 835, 540, 519, 1034, 9621, 2081, 547, 5721, 707, 1560, 547, 6633, 3170, 585, 4492, 267, 2864, 982, 19719, 543, 4887, 269, 3689, 267, 1265, 707, 10894, 2557, 267, 865, 602, 596, 917, 875, 1082, 8477, 596, 991, 547, 8532, 547, 6336, 2597, 269, 3973, 267, 1711, 707, 16087, 15203, 2732, 1759, 593, 707, 9273, 269, 5213, 1406, 7340, 547, 3442, 2635, 16087, 2959, 256, 1496, 272, 6540, 8512, 476, 272, 3487, 476, 272, 540, 476, 274, 281, 23804, 2659, 5450, 20326, 15580, 692, 272, 269, 476, 272, 454, 29991, 707, 1560, 2527, 4994, 630, 289, 11085, 1040, 2659, 19483, 9193, 519, 6871, 540, 1560, 3170, 596, 723, 689, 519, 5223, 540, 707, 2597, 547, 707, 4463, 269, 13038, 707, 1560, 4463, 538, 6279, 676, 3294, 267, 7941, 707, 2597, 538, 6550, 676, 602, 2179, 282, 1287, 9062, 602, 1297, 676, 476, 3583, 274, 547, 1205, 707, 19483, 16804, 273, 2639, 1892, 12276, 6234, 11513, 3667, 346, 289, 11085, 3686, 284, 3189, 2765, 11513, 3667, 346, 7076, 538, 6550, 12453, 263, 3189, 3667, 346, 19417, 538, 6279, 3686, 7565, 3189, 3667, 346, 19417, 538, 6279, 3686, 264, 3686, 21456, 1892, 1280, 1383, 267, 2015, 513, 476, 1789, 4458, 6040, 4807, 945, 568, 476, 276, 262, 277, 630, 5780, 6279, 264, 7381, 543, 22179, 476, 10204, 6550, 267, 596, 1223, 1265, 1200, 19483, 1210, 519, 1739, 9819, 281, 630, 10204, 14370, 5780, 1535, 476, 5780, 4297, 1535, 476, 3583, 274, 269, 634, 1267, 540, 519, 9819, 6645, 596, 602, 1200, 19483, 568, 476, 2767, 269, 275, 563, 1892, 589, 19483, 936, 476, 1789, 568, 2808, 17324, 269, 16453, 585, 1647, 27070, 2021, 568, 1063, 476, 1240, 269, 276, 543, 476, 2190, 269, 280, 267, 865, 519, 4807, 538, 519, 1383, 568, 14968, 563, 273, 269, 476, 273, 454, 24280, 707, 21828, 10894, 2557, 630, 13696, 305, 1040, 634, 2179, 540, 8477, 707, 1560, 17236, 1142, 1554, 3274, 676, 4540, 543, 8876, 856, 2596, 15629, 3252, 568, 707, 645, 17307, 269, 4634, 952, 596, 2811, 2732, 532, 267, 596, 1590, 8532, 693, 2547, 713, 1082, 8477, 610, 707, 1560, 4465, 1405, 1599, 7363, 16804, 274, 2639, 1892, 1411, 666, 5173, 707, 1378, 645, 17307, 1210, 519, 20831, 5174, 2989, 1112, 3830, 269, 1703, 616, 5594, 1114, 4834, 585, 9038, 543, 8951, 269, 2422, 6550, 585, 2597, 267, 6279, 585, 4463, 267, 543, 1296, 585, 2085, 563, 1892, 1403, 596, 616, 513, 6211, 4775, 267, 946, 519, 3830, 12276, 6234, 476, 277, 4649, 23444, 275, 269, 3374, 7565, 3189, 3667, 346, 7076, 3686, 11924, 263, 275, 269, 278, 7565, 3189, 3667, 346, 19417, 3686, 9984, 263, 275, 269, 278, 7565, 3189, 3667, 346, 720, 3686, 6661, 3189, 3667, 346, 13696, 305, 3686, 4151, 563, 1892, 1403, 596, 616, 513, 6211, 5256, 267, 946, 519, 3830, 12276, 6234, 476, 5780, 23444, 277, 269, 2537, 7565, 3189, 3667, 346, 7076, 3686, 11924, 263, 1321, 269, 278, 7565, 3189, 3667, 346, 19417, 3686, 9984, 263, 277, 269, 279, 7565, 3189, 3667, 346, 720, 3686, 6661, 3189, 3667, 346, 13696, 305, 3686, 4151, 563, 1892, 1403, 596, 1810, 1405, 1745, 899, 3257, 602, 1454, 2979, 267, 596, 666, 1265, 26732, 2228, 602, 786, 798, 519, 960, 585, 596, 952, 596, 3403, 707, 1344, 563, 1892, 901, 7447, 786, 1205, 2673, 547, 707, 3020, 645, 17307, 267, 855, 621, 568, 1152, 606, 7447, 269, 1677, 1205, 707, 3020, 645, 17307, 267, 596, 1131, 991, 547, 581, 7318, 543, 11117, 676, 513, 2564, 3318, 563, 274, 269, 476, 274, 454, 8201, 856, 707, 2698, 3232, 1648, 18820, 630, 31813, 7417, 1040, 2659, 570, 291, 7417, 2882, 707, 645, 17307, 7132, 782, 519, 824, 8477, 596, 6633, 607, 596, 979, 998, 707, 1554, 269, 1411, 666, 1265, 26732, 2228, 602, 786, 7447, 707, 570, 291, 7417, 585, 596, 16804, 275, 2639, 1892, 5901, 538, 2247, 621, 781, 2469, 547, 581, 2352, 547, 2097, 909, 609, 513, 2731, 6325, 7447, 540, 707, 570, 291, 7417, 267, 855, 596, 666, 1205, 2673, 2614, 952, 596, 2811, 9237, 827, 707, 2534, 1377, 1282, 519, 1554, 563, 1892, 6732, 26732, 3335, 2307, 585, 513, 2489, 18572, 540, 875, 3742, 596, 616, 267, 971, 607, 25161, 267, 26815, 3742, 267, 610, 7920, 569, 3742, 267, 543, 519, 6871, 540, 3108, 538, 519, 1554, 596, 4497, 538, 602, 2534, 563, 1892, 1280, 1383, 267, 6148, 596, 723, 513, 25161, 11380, 2816, 2947, 2395, 513, 3018, 630, 324, 697, 3108, 25161, 2534, 1142, 1554, 1040, 2201, 960, 2395, 267, 596, 979, 585, 15211, 538, 519, 6640, 543, 10543, 630, 821, 5662, 513, 1554, 540, 9793, 2534, 1040, 1717, 267, 593, 32300, 267, 596, 723, 1896, 3108, 540, 7920, 2534, 563, 1892, 898, 666, 581, 5363, 547, 11690, 538, 1114, 2338, 547, 1205, 513, 2039, 267, 2864, 982, 1175, 4466, 835, 570, 291, 7417, 563, 275, 269, 476, 275, 454, 16605, 513, 9422, 19701, 269, 589, 9422, 19701, 786, 948, 596, 4137, 856, 875, 1082, 8477, 596, 8532, 593, 513, 3232, 4493, 269, 1411, 991, 547, 1174, 713, 865, 596, 666, 4137, 856, 875, 1082, 8477, 596, 991, 547, 8532, 547, 6336, 2597, 16804, 276, 2639, 1892, 898, 781, 1271, 547, 581, 9237, 269, 1411, 1522, 581, 15673, 539, 711, 547, 1331, 513, 4062, 540, 17711, 610, 1776, 14432, 15165, 267, 855, 1832, 538, 2247, 602, 707, 9422, 19701, 4465, 1405, 581, 5363, 547, 596, 952, 621, 3884, 1405 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 7410, 2161, 8343, 1775, 1590, 581, 538, 519, 8884, 1269, 314, 343, 10983, 267, 1535, 10983, 1341, 1422, 23169, 316, 259, 3738, 519, 5506, 540, 568, 1269, 335, 5560, 10983, 264, 815, 674, 13448, 3287, 815, 1535, 10983, 1341, 1422, 23169, 264, 910, 674, 13448, 3287, 815, 1535, 10983, 30879, 3767, 607, 4399, 23169, 259, 4485, 4642, 538, 513, 1455, 2631, 4990, 540, 1259, 594, 1616, 519, 1079, 17831, 547, 581, 519, 1482, 269, 1717, 789, 616, 5693, 1114, 256, 1269, 335, 5560, 10983, 264, 815, 674, 13448, 3287, 815, 1535, 10983, 3738, 910, 674, 13448, 3287, 815, 1535, 10983, 264, 815, 476, 271, 259, 799, 568, 711, 538, 2489, 1269, 325, 13448, 3287, 815, 546, 10983, 7751, 780, 3383, 875, 568, 713, 1966, 17251, 286, 898, 1522, 581, 4502, 16069, 1934, 585, 513, 4090, 543, 3206, 827, 713, 1317, 621, 568, 711, 2653, 780, 8201, 476, 272, 281, 6004, 11023, 1097, 543, 513, 21802, 4604, 269, 901, 1175, 1934, 547, 2285, 930, 2230, 865, 596, 1810, 1406, 1224, 6619, 1247, 596, 723, 707, 4090, 780, 763, 267, 1250, 267, 513, 2626, 568, 912, 14303, 9506, 547, 519, 10171, 585, 513, 8884, 18594, 1819, 8343, 1269, 335, 5560, 10983, 264, 815, 674, 13448, 3287, 815, 1535, 10983, 1341, 1422, 23169, 264, 910, 674, 13448, 3287, 815, 1535, 10983, 7751, 282, 713, 666, 581, 16611, 676, 476, 272, 1510, 3390, 269, 769, 713, 2013, 1269, 272, 815, 1422, 23169, 1315, 1422, 23169, 10608, 4935, 1269, 335, 5560, 10983, 264, 815, 1496, 293, 13448, 3287, 815, 1535, 10983, 1341, 1422, 23169, 264, 910, 674, 13448, 3287, 815, 1535, 10983, 13580, 22570, 23169, 1315, 1422, 23169, 264, 815, 630, 314, 293, 13448, 3287, 815, 1535, 10983, 1341, 1422, 23169, 264, 910, 674, 13448, 3287, 815, 1535, 10983, 13580, 1315, 1422, 23169, 264, 1422, 23169, 10608, 3767, 1210, 700, 685, 295, 20110, 335, 1388, 779, 4341, 630, 2421, 2484, 519, 1655, 838, 3881, 2012, 2479, 14386, 519, 3970, 607, 4399, 23169, 259, 4485, 4642, 585, 519, 1101, 2165, 568, 4399, 3916, 18155, 23169, 1422, 21375, 476, 271, 348, 630, 314, 293, 13448, 3287, 815, 1535, 10983, 1341, 1422, 23169, 264, 910, 674, 13448, 3287, 815, 1535, 10983, 13580, 1315, 1422, 23169, 264, 815, 535, 13448, 3287, 284, 546, 10983, 30879, 4935, 585, 606, 11737, 337, 3320, 1507, 4399, 23169, 259, 1109, 1269, 335, 5560, 10983, 264, 815, 674, 13448, 3287, 815, 1535, 10983, 1341, 1422, 23169, 264, 910, 674, 13448, 3287, 815, 1535, 10983, 264, 815, 535, 13448, 3287, 284, 546, 10983, 264, 1422, 23169, 16859, 2690, 905, 638, 550, 1235, 621, 568, 711, 4010, 2312, 547, 803, 1018, 4523, 547, 519, 4399, 23169, 259, 2165, 282, 547, 581, 2386, 585, 16066, 9193, 4399, 23169, 259, 22599, 950, 519, 16755, 616, 12193, 547, 3160, 4642, 855, 945, 6487, 538, 1018, 4523, 538, 2489, 2496, 2690, 7345, 525, 2103, 519, 4399, 23169, 259, 2165, 666, 26118, 609, 519, 2963, 282, 16317, 2414, 17854, 713, 11291, 602, 4399, 24837, 346, 313, 20731, 329, 815, 1422, 842, 546, 11513, 8578, 544, 20731, 329, 1422, 7032, 263, 3189, 8578, 544, 20731, 329, 264, 1422, 24837, 346, 299, 12917, 3189, 8578, 544, 20731, 329, 7751, 865, 519, 4399, 23169, 259, 786, 581, 538, 1312, 519, 19362, 543, 519, 14009, 780, 763, 1434, 851, 568, 602, 2047, 4767, 1239, 543, 8884, 18594, 1819, 1239, 666, 581, 1031, 538, 513, 6404, 10171, 1599, 1510, 1022, 10421, 547, 556, 27954, 835, 610, 519, 824, 1239, 2010, 780, 6546, 568, 621, 585, 713, 2022, 594, 786, 581, 1603, 835, 1586, 4166, 593, 875, 547, 1205, 1284, 756, 1638, 3892, 9193, 538, 513, 14069, 13214, 780, 258, 10003, 4786, 540, 27834, 5811, 1109, 14006, 338, 692, 17098, 2353, 692, 296, 723, 1044, 513, 3787, 11112, 5063, 543, 865, 713, 2022, 814, 1044, 1312, 16607, 543, 21022, 269, 3767, 621, 6799, 1152, 513, 1592, 540, 519, 6668, 2079, 3584, 602, 594, 8247, 547, 3382, 538, 519, 1985, 1906, 3275, 780, 272, 269, 18087, 17839, 2725, 1512, 13602, 630, 652, 26305, 6668, 3252, 264, 609, 8884, 18594, 1819, 1239, 563, 272, 269, 30532, 14354, 10898, 454, 273, 269, 28662, 20368, 13011, 13979, 454, 274, 269, 31538, 18171, 1841, 454, 273, 269, 30532, 14354, 10898, 543, 14330, 10157, 454, 272, 269, 10410, 4328, 1991, 14778, 543, 2357, 4328, 519, 1455, 13429, 540, 21714, 10462, 454, 273, 269, 681, 297, 10157, 10157, 585, 2203, 5542, 454, 274, 269, 476, 1109, 13640, 600, 13011, 27834, 5811, 454, 275, 269, 17793, 14923, 17738, 454, 276, 269, 7926, 667, 8817, 595, 839, 1681, 454, 277, 269, 13038, 15638, 454, 278, 269, 3281, 7566, 4220, 692, 32622, 835, 543, 1079, 594, 723, 8362, 1044, 3206, 827, 543, 2324, 593, 269, 1306, 568, 4440, 7805, 689, 519, 3668, 540, 1469, 267, 2798, 476, 274, 998, 476, 278, 616, 3584, 602, 594, 1589, 3280, 4277, 630, 328, 4318, 1421, 917, 4986, 827, 1040, 1358, 949, 630, 1348, 616, 1360, 2693, 547, 264, 1689, 607, 594, 1376, 1603, 780, 288, 2656, 4063, 593, 1603, 2511, 540, 713, 5816, 269, 589, 3659, 540, 9553, 5063, 13934, 803, 593, 519, 9355, 543, 1935, 268, 1464, 540, 1250, 1603, 269, 769, 1603, 972, 616, 1079, 3376, 6688, 11673, 543, 23106, 269, 634, 5449, 568, 5693, 1732, 1287, 519, 8545, 269, 901, 5816, 814, 1044, 16944, 540, 1152, 4758, 23106, 269, 1717, 267, 621, 568, 1250, 5692, 609, 519, 6069, 9708, 593, 6668, 2079, 547, 581, 4009, 569, 538, 519, 11673, 711, 23106, 7121, 540, 1603, 780, 7661, 594, 2731, 993, 2469, 547, 2119, 547, 6529, 547, 513, 16516, 540, 476, 272, 2022, 2479, 1079, 4374, 602, 786, 1611, 602, 930, 9708, 786, 581, 10156, 780, 307, 2317, 538, 1985, 942, 585, 23248, 513, 2312, 6609, 540, 1210, 519, 30532, 1160, 1636, 1308, 10898, 2203, 547, 7447, 6668, 14258, 780, 10267, 619, 692, 258, 1160, 1636, 1308, 18171, 1841, 630, 684, 17569, 532, 3830, 1109, 1321, 2020, 17098, 2353, 692, 1607, 3018, 594, 993, 3168, 693, 14354, 10898, 9695, 269, 769, 1880, 267, 3843, 547, 12172, 519, 19585, 10171, 4542, 780, 6524, 11362, 883, 602, 5225, 4063, 602, 14354, 10898, 267, 849, 1572, 30532, 14354, 10898, 630, 290, 2135, 15771, 1070, 729, 1101, 4843, 538, 476, 3192, 273, 538, 968, 8802, 1833, 3631, 543, 1272, 2389, 1963, 892, 799, 814, 1044, 11855, 9625, 476, 5379, 267, 1822, 2053, 256, 1924, 3220, 30532, 779, 9295, 609, 713, 835, 1957, 630, 515, 814, 513, 2603, 540, 824, 1390, 4574, 607, 1134, 264, 2731, 568, 9058, 780, 6546, 1767, 594, 1705, 711, 1265, 621, 519, 1579, 11732, 540, 4574, 538, 1880, 3830, 476, 1321, 3576, 803, 930, 942, 547, 1174, 269, 7612, 476, 272, 2982, 606, 21626, 540, 519, 1957, 780, 8201, 476, 272, 281, 606, 21626, 540, 30532, 779, 476, 3192, 273, 968, 2958, 1833, 3631, 543, 1272, 7515, 10640, 763, 1448, 602, 30532, 568, 3478, 693, 568, 267, 952, 519, 9651, 1599, 630, 7445, 14433, 6025, 7751, 538, 1010, 10035, 543, 1269, 327, 6025, 7751, 538, 23600, 3738, 568, 4625, 7164, 855, 519, 1931, 540, 14286, 616, 917, 666, 1109, 8882, 2397, 1869, 581, 5342, 286, 634, 2626, 568, 540, 1576, 9811, 269, 30532, 23083, 519, 19585, 10171, 1599, 282, 602, 568, 267, 519, 5506, 540, 519, 1931, 540, 14286, 610, 547, 2322, 621, 1776, 1259, 519, 10171, 31411, 593, 519, 4767, 2053, 540, 14286, 269, 4935, 30532, 779, 3830, 476, 1321, 568, 15151, 519, 5506, 602, 519, 1775, 685, 628, 6049, 1289, 8694, 2016, 602, 835, 6049, 1289, 1439, 693, 602, 942, 269, 901, 2022, 7710, 1010, 25195, 780, 3383, 547, 1376, 267, 538, 30532, 15771, 519, 9651, 1599, 568, 711, 10924, 547, 723, 1022, 1880, 1106, 2705, 621, 568, 10924, 602, 782, 6049, 7125, 723, 519, 1482, 1106, 540, 9651, 1599, 1152, 18312, 538, 513, 4164, 564, 29182, 3989, 8167, 282, 1775, 4318, 1421, 1269, 327, 3709, 263, 328, 264, 12917, 339, 264, 815, 1422, 10339, 263, 3189, 8578, 1990, 13925, 263, 328, 14587, 11513, 8578, 544, 16585, 554, 318, 271, 6025, 7751, 568, 519, 9651, 1599, 585, 519, 1775, 685, 628, 4102, 8343, 780, 763, 4399, 10339, 263, 3189, 8578, 1990, 13925, 263, 328, 264, 7346, 8578, 544, 348, 7751, 3947, 519, 3448, 9651, 540, 519, 1775, 685, 628, 8343, 3448, 547, 1269, 327, 318, 271, 6025, 7751, 519, 3490, 9651, 269, 901, 568, 519, 968, 2889, 1636, 1308, 892, 538, 14354, 10898, 780, 14303, 9506, 547, 3830, 476, 1321, 543, 24758, 621, 883, 519, 713, 21075, 10035, 649, 1205, 692, 780, 1607, 568, 519, 14354, 2165, 5258, 676, 519, 2040, 540, 519, 2625, 1049, 2474, 585, 519, 1981, 1305, 1496, 259, 305, 6025, 7751, 4940, 634, 1981, 1305, 568, 519, 1305, 540, 8343, 609, 2680, 2053, 3152, 602, 540, 519, 1775, 685, 628, 8343, 269, 1635, 14921, 519, 1283, 543, 5377, 540, 519, 6824, 609, 519, 15977, 9651, 1269, 327, 318, 271, 6025, 3709, 263, 328, 14587, 7751, 621, 3587, 2312, 602, 713, 568, 519, 9651, 540, 519, 10678, 6049, 1289, 5258, 676, 519, 9651, 540, 782, 6049, 1289, 1869, 3742, 708, 5511, 569, 1354, 942, 1269, 339, 3709, 263, 328, 264, 31859, 4504, 30698, 569, 267, 713, 1058, 1118, 2631, 519, 5506, 540, 6049, 1289, 1775, 10678, 2016, 602, 4010, 835, 540, 519, 6049, 7125, 8694, 568, 519, 9651, 540, 519, 1775, 685, 628, 6049, 1289, 5258, 676, 519, 2698, 9651, 540, 782, 3742, 6049, 7125, 269, 1809, 8909, 569, 1109, 4504, 30698, 568, 711, 2731, 1434, 2614, 269, 1924, 11173, 547, 5225, 1394, 930, 540, 891, 6106, 543, 1210, 519, 4214, 540, 513, 9651, 1599, 912, 269, 1109, 901, 666, 581, 17370, 9287, 607, 454, 6748, 7345, 525, 4341, 1496, 259, 303, 10490, 21270, 264, 815, 623, 10490, 1422, 5115, 645, 3738, 270, 303, 16360, 7751, 4940, 1109, 9717, 519, 13429, 602, 972, 568, 835, 2680, 693, 942, 1269, 339, 3709, 263, 328, 264, 4151, 630, 10472, 13429, 6589, 9388, 585, 519, 19585, 2165, 264, 519, 17831, 538, 519, 6824, 666, 581, 14648, 607, 454, 267, 1109, 1818, 519, 3606, 13429, 602, 519, 2680, 2053, 616, 4830, 540, 1142, 824, 519, 14009, 666, 581, 14648, 607, 519, 5506, 602, 972, 568, 835, 2680, 693, 942, 1269, 339, 3709, 263, 328, 264, 4151, 713, 2164, 538, 2417, 5187, 2305, 912, 269, 1109, 7053, 1210, 7345, 525, 4341, 1586, 519, 6824, 666, 581, 2854, 607, 2582, 19585, 5506, 454, 269, 1924, 30532, 15771, 568, 2953, 543, 476, 5379, 267, 1822, 4574, 1810, 1406, 991, 606, 20093, 1092, 256, 1809, 607, 594, 1767, 594, 1131, 723, 899, 513, 2370, 811, 7269, 538, 519, 3312, 1957, 780, 15368, 1227, 602, 568, 3388, 594, 4941, 547, 1205, 998, 267, 2705, 267, 2560, 267, 594, 899, 899, 547, 2911, 1932, 1454, 1315, 936, 1589, 1919, 269, 769, 1880, 267, 1109, 519, 13429, 602, 972, 568, 1152, 835, 2680, 693, 1142, 942, 269, 769, 519, 6169, 713, 5012, 547, 519, 5506, 540, 519, 606, 2680, 8345, 693, 519, 4767, 1373, 519, 2040, 540, 519, 17831, 282, 2705, 267, 538, 3510, 1141, 972, 1223, 581, 811, 982, 835, 2680, 693, 513, 2016, 942, 630, 3697, 569, 1813, 547, 1793, 641, 6853, 1239, 4015, 264, 1287, 602, 568, 5693, 711, 3020, 630, 290, 2135, 543, 519, 2689, 619, 1865, 713, 538, 519, 1957, 513, 3787, 1040, 634, 5506, 952, 693, 6122, 770, 835, 7422, 814, 2680, 942, 1269, 339, 3709, 263, 328, 264, 4151, 568, 1287, 1269, 272, 268, 1422, 2889, 323, 263, 272, 6261, 24560, 3667, 346, 25332, 269, 737, 814, 2680, 942, 7684, 512, 3709, 263, 328, 14587, 316, 30879, 2755, 621, 568, 2352, 547, 1118, 2489, 7422, 827, 713, 5506, 621, 1590, 581, 3677, 1287, 519, 10924, 5506, 269, 769, 1840, 267, 519, 19362, 1131, 1287, 581, 711, 1175, 519, 5506, 602, 8343, 1775, 814, 2680, 942, 1269, 339, 3709, 263, 328, 264, 4151, 1109, 855, 3079, 519, 5506, 602, 782, 519, 7422, 602, 1439, 693, 1269, 339, 3709, 263, 328, 264, 4151, 723, 2680, 942, 1269, 339, 3709, 263, 328, 264, 23201, 901, 5506, 1590, 4130, 269, 1924, 621, 1281, 1413, 899, 713, 1131, 1689, 519, 19585, 10171, 513, 2603, 780, 307, 2317, 538, 1985, 942, 585, 3078, 28662, 6355, 4987, 630, 296, 9153, 1985, 3018, 972, 786, 2965, 581, 513, 28662, 5057, 547, 713, 264, 2439, 258, 589, 2110, 4063, 593, 1109, 301, 15625, 5025, 531, 523, 692, 17098, 2353, 692, 8310, 942, 594, 1500 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4187, 269, 2334, 1373, 1767, 267, 543, 849, 1317, 621, 814, 513, 1970, 22542, 267, 2871, 6072, 814, 513, 1970, 22542, 267, 621, 666, 581, 11368, 538, 707, 2732, 952, 596, 723, 3987, 563, 4692, 594, 16202, 2871, 6072, 4438, 513, 15310, 6441, 1601, 10791, 888, 2791, 666, 3548, 1368, 6072, 1282, 513, 7453, 3170, 2000, 1601, 2732, 269, 4634, 513, 1368, 6072, 5347, 773, 666, 581, 513, 7168, 27357, 4235, 547, 2119, 1282, 707, 3170, 2530, 20786, 563, 268, 589, 476, 7742, 326, 7674, 540, 1368, 6072, 814, 513, 23834, 540, 476, 275, 269, 273, 799, 568, 7168, 1970, 563, 268, 2871, 6072, 607, 513, 19997, 12146, 568, 7989, 24777, 538, 513, 3170, 2000, 1601, 2732, 563, 268, 2871, 6072, 568, 513, 2597, 2000, 1601, 7888, 15988, 797, 563, 4692, 594, 16202, 2871, 6072, 4438, 513, 8899, 4211, 541, 8510, 3433, 10791, 888, 2791, 666, 3548, 1368, 6072, 1282, 513, 7453, 1970, 2275, 16808, 2732, 269, 1717, 267, 621, 568, 1271, 547, 581, 6297, 827, 519, 6712, 602, 596, 616, 10438, 563, 3674, 2871, 6072, 4400, 538, 17491, 888, 288, 476, 1911, 575, 540, 1368, 6072, 7674, 814, 476, 1691, 575, 540, 19719, 543, 476, 280, 575, 540, 4006, 269, 4014, 621, 7959, 24494, 267, 621, 786, 711, 2333, 707, 1973, 4006, 2157, 538, 6476, 609, 824, 5613, 543, 568, 835, 540, 519, 1655, 5613, 547, 8532, 3232, 269, 0, 291, 9233, 616, 835, 540, 519, 1034, 10121, 543, 11537, 10130, 267, 855, 952, 789, 616, 711, 5265, 8036, 543, 1514, 1242, 267, 789, 666, 1831, 513, 8594, 547, 3425, 269, 1879, 5185, 609, 606, 10728, 3640, 540, 5243, 267, 621, 568, 1271, 547, 917, 875, 547, 2149, 3054, 563, 763, 1101, 1900, 568, 547, 2611, 9350, 543, 2057, 1818, 6727, 5322, 269, 30557, 2427, 1811, 547, 519, 3640, 666, 948, 1118, 596, 2408, 1447, 17116, 269, 898, 568, 849, 1271, 547, 711, 1118, 1463, 3750, 3346, 609, 519, 5243, 607, 713, 666, 581, 2938, 607, 513, 1129, 540, 14699, 269, 1403, 2009, 267, 2119, 547, 1394, 2476, 7444, 1247, 5329, 707, 7916, 693, 707, 5011, 563, 2252, 519, 5243, 3136, 547, 1935, 267, 621, 568, 1271, 547, 723, 1945, 547, 2149, 3054, 609, 269, 589, 1216, 11480, 610, 6529, 666, 581, 1031, 547, 1711, 513, 11064, 1063, 596, 543, 519, 5243, 269, 1403, 519, 5243, 1831, 10728, 267, 12235, 519, 1843, 693, 873, 543, 1287, 2196, 2476, 563, 7661, 267, 952, 596, 1265, 3054, 538, 513, 3510, 1141, 596, 616, 1373, 16091, 676, 2789, 5243, 267, 621, 568, 1271, 547, 2611, 9350, 543, 2149, 707, 4105, 8219, 269, 4354, 331, 909, 883, 513, 3440, 543, 3382, 707, 3068, 267, 8405, 543, 9221, 609, 707, 7916, 543, 3946, 269, 901, 786, 948, 2149, 596, 689, 3978, 5945, 563, 31535, 875, 547, 2149, 3054, 689, 606, 10728, 3640, 540, 5243, 666, 948, 1832, 596, 2922, 538, 5906, 3871, 269, 1635, 6967, 9350, 267, 7555, 2427, 1811, 267, 2348, 513, 11064, 543, 7863, 707, 4105, 8219, 267, 596, 666, 2333, 707, 8458, 540, 29400, 21379, 28534, 269, 0, 306, 1168, 518, 3515, 538, 707, 1753, 2611, 856, 540, 8289, 267, 855, 789, 616, 1271, 538, 4509, 1697, 21818, 543, 9882, 693, 1753, 269, 1306, 789, 2611, 856, 540, 8289, 267, 649, 1419, 26777, 741, 13766, 543, 1810, 1406, 1445, 593, 4509, 621, 269, 28900, 267, 596, 786, 1294, 513, 1906, 1455, 29326, 1899, 2042, 602, 786, 1039, 547, 707, 7092, 543, 17140, 563, 17798, 267, 596, 1590, 917, 519, 4128, 585, 29326, 1899, 2042, 267, 971, 607, 3529, 5072, 267, 25619, 20203, 12871, 543, 23574, 762, 16003, 530, 6346, 269, 4746, 267, 596, 666, 2697, 519, 2152, 607, 596, 917, 519, 4191, 540, 29326, 1899, 2042, 563, 13349, 4191, 540, 16609, 29326, 3515, 1331, 3983, 5212, 712, 267, 3500, 1673, 20995, 12992, 543, 5521, 543, 11641, 23588, 538, 707, 1753, 269, 3367, 811, 454, 276, 5871, 29828, 518, 7412, 10819, 454, 6097, 547, 2872, 4441, 267, 29326, 3515, 1058, 2063, 585, 476, 2004, 547, 476, 1911, 1296, 269, 1717, 267, 519, 12992, 949, 1205, 24571, 3022, 610, 8697, 1813, 547, 3529, 5072, 267, 31294, 267, 9600, 543, 12871, 13250, 563, 21698, 5072, 2282, 519, 29326, 3515, 616, 835, 540, 519, 3119, 27521, 338, 547, 3441, 891, 21818, 12992, 269, 1306, 4054, 1332, 267, 741, 5072, 6923, 3343, 856, 2959, 540, 7509, 269, 898, 2882, 519, 29326, 12992, 18284, 707, 3959, 267, 607, 4054, 1265, 621, 519, 15864, 1259, 547, 1216, 563, 13295, 267, 3529, 5072, 22467, 3433, 519, 12992, 998, 1507, 18015, 610, 10690, 10549, 269, 901, 1259, 267, 789, 666, 2014, 4049, 3625, 1137, 543, 1256, 1291, 547, 10612, 3441, 269, 634, 3677, 519, 3529, 3597, 267, 519, 811, 4049, 519, 29326, 1899, 1966, 563, 294, 516, 848, 543, 674, 1846, 454, 7197, 21427, 7340, 547, 26565, 540, 5986, 31294, 543, 9600, 9108, 269, 1924, 267, 31294, 543, 9600, 786, 979, 1524, 519, 8963, 547, 2014, 29326, 1899, 2152, 563, 7021, 942, 267, 891, 6878, 666, 18645, 543, 4396, 1518, 3330, 519, 12992, 269, 1924, 267, 621, 786, 6615, 519, 2095, 543, 5555, 2014, 3625, 1137, 269, 1411, 991, 547, 5781, 26565, 540, 31294, 543, 9600, 538, 513, 20177, 8708, 543, 17885, 547, 2061, 713, 1966, 563, 1103, 14363, 12275, 12237, 2598, 27760, 454, 7197, 540, 721, 786, 23574, 3688, 1524, 519, 16003, 5921, 547, 581, 26356, 540, 3544, 519, 29326, 1062, 269, 898, 666, 849, 1267, 538, 804, 9233, 543, 3441, 547, 519, 29326, 1899, 563, 1103, 24014, 20203, 12871, 2882, 1019, 3639, 267, 7254, 3202, 23040, 9469, 267, 1957, 28734, 267, 543, 1875, 1532, 1675, 22869, 2326, 269, 1306, 789, 979, 1524, 519, 16003, 610, 19880, 21818, 10612, 267, 789, 2445, 593, 519, 29326, 1899, 547, 3625, 621, 269, 8437, 1934, 547, 1451, 267, 1215, 547, 4368, 513, 13451, 344, 16173, 8963, 10612, 563, 291, 600, 3042, 543, 6196, 29828, 518, 623, 6346, 454, 763, 30333, 5989, 540, 29326, 12992, 666, 1291, 547, 1585, 2152, 267, 1932, 269, 3683, 942, 267, 12992, 666, 14016, 622, 267, 11523, 267, 610, 12900, 1813, 547, 13346, 3037, 267, 2666, 3350, 267, 610, 14809, 269, 1879, 519, 12992, 616, 8697, 267, 621, 666, 2014, 1394, 5725, 267, 20984, 267, 543, 1256, 7293, 3441, 547, 707, 3959, 563, 14503, 2313, 762, 530, 6346, 267, 891, 2395, 267, 616, 2442, 543, 10375, 8925, 547, 16003, 1957, 269, 19759, 569, 267, 789, 616, 711, 607, 23574, 762, 607, 6994, 2213, 269, 1452, 530, 6346, 798, 711, 2736, 1524, 3362, 267, 1256, 1498, 789, 616, 27500, 563, 17798, 267, 519, 23574, 762, 530, 6346, 666, 18645, 538, 519, 29326, 1899, 267, 4929, 3625, 1137, 269, 1411, 1058, 26565, 540, 873, 538, 17885, 25510, 547, 2061, 24571, 3101, 519, 29326, 3515, 563, 12749, 20050, 540, 9046, 1738, 543, 1849, 690, 3022, 29828, 518, 7412, 454, 2691, 707, 29326, 1899, 8188, 1022, 1966, 267, 971, 607, 804, 9233, 610, 3441, 267, 621, 786, 1397, 1906, 4191, 269, 4495, 596, 917, 891, 29326, 1899, 1966, 4191, 267, 596, 666, 2697, 519, 3441, 547, 4368, 621, 563, 302, 323, 528, 28527, 689, 519, 29828, 518, 7412, 454, 288, 28067, 5212, 712, 568, 835, 540, 519, 1034, 18476, 4191, 540, 513, 29326, 1899, 1966, 269, 1411, 786, 1745, 513, 3983, 9329, 32338, 908, 689, 28368, 610, 519, 4478, 1858, 563, 763, 5212, 712, 5631, 2501, 689, 519, 13250, 540, 3653, 543, 21137, 9362, 1813, 547, 3625, 1137, 269, 1403, 596, 3713, 10770, 21137, 24462, 3330, 519, 1753, 267, 621, 779, 2629, 547, 8495, 519, 3390, 16425, 269, 2107, 3116, 519, 1966, 949, 4166, 14016, 622, 2417, 563, 306, 869, 19537, 1456, 623, 6346, 454, 6701, 707, 29826, 267, 30079, 267, 610, 29636, 1951, 1456, 7444, 286, 1403, 865, 267, 621, 1223, 5815, 513, 24571, 610, 25518, 538, 519, 29326, 1899, 269, 13038, 3500, 28368, 2429, 707, 1753, 5693, 5815, 513, 3677, 1966, 1369, 519, 29326, 1062, 563, 17798, 267, 596, 1590, 2232, 519, 3500, 1673, 20995, 12992, 16425, 269, 898, 568, 1898, 547, 2061, 811, 4049, 1394, 5725, 543, 3441, 563, 5141, 9233, 543, 4826, 7982, 1575, 454, 2691, 16894, 3112, 2095, 998, 519, 29326, 1899, 267, 621, 666, 2014, 1216, 1394, 5725, 538, 29826, 267, 30079, 267, 8602, 30344, 338, 267, 543, 6989, 28368, 269, 898, 4523, 1813, 547, 513, 31797, 610, 3441, 538, 519, 29326, 1899, 269, 1411, 949, 5469, 575, 4026, 1782, 4992, 610, 1216, 4947, 909, 689, 28368, 563, 4322, 4191, 2303, 513, 811, 4049, 25518, 602, 3340, 7525, 3007, 547, 2061, 2417, 3441, 563, 1103, 4167, 543, 28814, 5606, 652, 566, 454, 12441, 596, 5469, 513, 6727, 27614, 540, 7786, 543, 10860, 538, 707, 1753, 286, 898, 949, 581, 3226, 538, 519, 25810, 610, 2282, 28368, 563, 2252, 865, 267, 621, 6786, 513, 29326, 1899, 1966, 269, 24538, 338, 543, 23224, 616, 13631, 547, 519, 1426, 2707, 3177, 1369, 519, 29326, 1899, 269, 1358, 849, 2648, 519, 5848, 1858, 2282, 519, 8697, 1899, 269, 1924, 267, 950, 519, 23588, 26251, 5103, 707, 3646, 547, 1852, 621, 267, 596, 1590, 8495, 519, 7872, 540, 513, 7745, 29326, 10612, 563, 4263, 2053, 267, 596, 949, 1294, 602, 519, 15989, 2127, 616, 9846, 521, 690, 4445, 269, 2107, 3116, 789, 949, 723, 606, 8966, 5834, 540, 18932, 3039, 6371, 269, 4014, 596, 949, 711, 3494, 621, 267, 621, 1223, 581, 1813, 547, 513, 29326, 1899, 3390, 563, 288, 8697, 29326, 1899, 666, 13451, 16894, 883, 519, 4478, 3037, 269, 898, 786, 1267, 538, 7050, 7509, 602, 8992, 6371, 543, 10664, 2208, 269, 1411, 1058, 6895, 707, 15989, 585, 4191, 547, 2697, 1761, 29326, 1899, 2042, 2038, 593, 563, 2026, 513, 1753, 26782, 267, 596, 1590, 917, 827, 1455, 29326, 1899, 2042, 269, 9578, 267, 596, 1058, 5431, 519, 4191, 540, 513, 24571, 3022, 610, 8697, 29326, 1899, 269, 898, 666, 4688, 596, 689, 7199, 18203, 543, 1761, 1072, 10898, 1813, 547, 29326, 3515, 269, 5047, 267, 596, 1058, 2226, 519, 29326, 1899, 5265, 547, 2057, 891, 2152, 585, 513, 2922, 543, 2635, 1753, 1604, 269, 0, 1103, 519, 7706, 540, 533, 20269, 267, 1620, 543, 13215, 519, 6946, 16082, 540, 6530, 666, 581, 519, 1883, 547, 1967, 269, 901, 2376, 12538, 883, 519, 4241, 1158, 540, 533, 20269, 6530, 267, 3695, 4388, 585, 2542, 533, 20269, 6645, 267, 3384, 513, 10888, 14820, 538, 519, 2790, 3014, 540, 533, 20269, 267, 9013, 4664, 693, 519, 3349, 547, 6023, 28550, 3927, 267, 543, 19586, 532, 519, 1148, 540, 1025, 4428, 532, 6530, 563, 3528, 18167, 883, 891, 18125, 540, 533, 20269, 6530, 267, 5716, 666, 3986, 741, 29863, 543, 856, 8243, 691, 17837, 609, 7580, 23258, 563, 268, 4197, 543, 16208, 533, 20269, 6645, 666, 1683, 3407, 4030, 883, 17837, 685, 3929, 2829, 543, 1025, 4428, 532, 15752, 563, 268, 29923, 519, 2790, 3014, 540, 533, 20269, 3322, 3384, 1445, 267, 6043, 267, 543, 513, 7580, 1935, 547, 3375, 6194, 563, 268, 30047, 533, 20269, 28550, 3340, 8026, 3929, 1852, 267, 9301, 12153, 267, 543, 3927, 5883, 835, 779, 4871, 2651, 543, 4664, 563, 268, 634, 1148, 540, 1025, 4428, 532, 538, 533, 20269, 3322, 1620, 17837, 685, 2623, 267, 9001, 12485, 971, 607, 12557, 543, 521, 1944, 267, 543, 2870, 8969, 538, 741, 8186, 547, 3196, 1016, 9953, 2711, 5079, 563, 8139, 623, 20269, 15681, 338, 281, 634, 5678, 540, 6348, 16812, 9442, 454, 763, 1620, 540, 533, 20269, 6645, 3322, 519, 2079, 543, 7664, 540, 26068, 10291, 17820, 676, 5716, 1282, 513, 3014, 269, 5463, 5317, 2890, 10339, 11306, 568, 513, 2629, 5578, 585, 1022, 533, 20269, 6345, 3168, 547, 2744, 606, 6316, 538, 519, 3014, 269, 5843, 10339, 11306, 616, 7904, 7566, 11132, 7215, 602, 7866, 9758, 4664, 267, 1419, 9648, 1369, 513, 6824, 540, 513, 2034, 269, 1635, 1373, 2111, 547, 5431, 891, 11029, 11132, 10291, 267, 5716, 666, 15378, 741, 17837, 685, 3929, 2829, 543, 1118, 811, 5483, 3664, 563, 28694, 1893, 849, 4249, 513, 1713, 1909, 538, 16208, 533, 20269, 6645, 269, 30123, 999, 543, 2022, 999, 666, 1683, 3407, 4030, 883, 5716, 685, 6015, 2157, 267, 4222, 540, 741, 1688, 267, 610, 1256, 741, 15752, 547, 1025, 4428, 269, 1280, 1383, 267, 8401, 1000, 9662, 610, 535, 573, 1326, 532, 1522, 5815, 8467, 610, 10462, 267, 1247, 17159, 2022, 999, 1223, 24901, 6015, 610, 513, 2178, 1688, 563, 22913, 532, 519, 1148, 540, 29852, 2890, 10339, 11306, 543, 16208, 1560, 1893, 2636 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 286, 1548, 952, 22255, 514, 1185, 1044, 2451, 608, 6150, 538, 2098, 584, 747, 888, 15973, 1143, 3592, 6157, 1131, 711, 723, 3144, 936, 6576, 267, 13321, 519, 14206, 2540, 585, 519, 1390, 2192, 540, 18495, 269, 1809, 267, 19890, 267, 649, 1590, 13720, 519, 4539, 540, 4890, 1686, 267, 2864, 982, 1018, 268, 604, 338, 31251, 519, 4332, 540, 519, 8168, 1533, 513, 2540, 3516, 563, 291, 537, 326, 17020, 578, 568, 513, 9972, 8284, 693, 519, 595, 6737, 4659, 269, 589, 5449, 2027, 13930, 547, 5518, 30370, 31144, 267, 646, 568, 519, 2278, 540, 1896, 2835, 267, 1519, 14579, 674, 3326, 625, 281, 3013, 779, 1715, 6820, 7276, 630, 311, 592, 517, 1916, 15862, 281, 19797, 18793, 2482, 5810, 693, 519, 18533, 540, 22255, 514, 547, 1665, 519, 16683, 540, 519, 476, 4489, 278, 12157, 9917, 341, 1731, 4838, 538, 519, 5045, 6739, 2749, 540, 853, 822, 1886, 565, 5437, 476, 278, 267, 476, 1001, 273, 269, 11555, 21585, 27582, 706, 731, 918, 1941, 12011, 523, 14150, 0, 3528, 4460, 2961, 2896, 3279, 454, 7775, 577, 1749, 1107, 1100, 7864, 982, 476, 1626, 1114, 5686, 1107, 543, 23097, 5387, 2371, 1107, 971, 607, 18057, 539, 15485, 342, 2176, 543, 31914, 31974, 1107, 21707, 693, 14411, 7186, 779, 2189, 8891, 7758, 8672, 7186, 15944, 267, 607, 798, 3875, 824, 21621, 569, 4686, 2371, 269, 28210, 2282, 8235, 15049, 517, 593, 519, 7262, 2427, 540, 519, 23745, 18686, 2282, 519, 2146, 540, 4414, 7345, 267, 713, 15395, 7028, 606, 5140, 1383, 540, 4279, 20463, 9381, 803, 20760, 22153, 267, 513, 11451, 4686, 7226, 269, 1656, 7064, 547, 513, 21464, 2244, 21856, 689, 519, 5839, 305, 2801, 1920, 267, 519, 811, 982, 476, 4968, 15466, 2030, 2249, 1336, 1369, 519, 15395, 1631, 723, 811, 4055, 547, 1332, 563, 14071, 616, 6126, 547, 24946, 851, 540, 938, 2244, 547, 14411, 7186, 1848, 3081, 3627, 5839, 305, 2801, 267, 968, 1721, 741, 1416, 543, 4027, 538, 10419, 8462, 3034, 763, 1840, 568, 851, 540, 14411, 7186, 779, 1279, 3856, 5859, 547, 2333, 519, 2450, 540, 782, 938, 1883, 2470, 14425, 269, 590, 904, 8349, 710, 5576, 738, 345, 267, 14411, 7186, 779, 10324, 8689, 267, 968, 31319, 10999, 1271, 2127, 616, 711, 2141, 6870, 998, 513, 2582, 11834, 269, 13298, 267, 4027, 1419, 5956, 609, 519, 11601, 540, 606, 3355, 4295, 3959, 267, 799, 568, 1287, 3710, 2390, 267, 4062, 676, 4062, 543, 936, 513, 1297, 540, 1296, 267, 998, 513, 4999, 540, 7580, 16306, 267, 23190, 543, 581, 638, 3949, 3034, 763, 8891, 7758, 8672, 7186, 15944, 729, 1101, 3964, 950, 14411, 7186, 630, 6533, 1572, 18966, 540, 14411, 7849, 1235, 264, 17956, 1079, 1612, 26118, 540, 17866, 4279, 20463, 803, 20760, 22153, 9103, 16226, 476, 1556, 25614, 267, 538, 476, 3422, 278, 543, 476, 3422, 279, 269, 1520, 14765, 1456, 3601, 267, 3773, 547, 519, 15395, 538, 476, 2735, 275, 267, 476, 1960, 272, 543, 476, 1220, 274, 267, 6870, 3606, 22153, 1633, 563, 4415, 519, 5726, 540, 513, 8101, 4062, 540, 519, 22153, 267, 14411, 7186, 779, 1445, 17146, 547, 7863, 519, 4478, 4104, 543, 32761, 267, 2127, 2565, 547, 4509, 519, 8733, 8699, 540, 519, 3312, 3959, 269, 5213, 725, 540, 2244, 538, 476, 1220, 280, 267, 2059, 609, 519, 476, 1001, 271, 5839, 305, 2801, 21856, 267, 948, 2327, 602, 519, 4279, 20463, 803, 20760, 22153, 693, 8891, 7758, 8672, 786, 581, 10150, 543, 15874, 585, 1082, 5481, 547, 2097, 269, 14411, 7186, 568, 7184, 18507, 547, 519, 5839, 305, 2801, 1920, 585, 741, 1489, 540, 938, 2470, 15395, 1982, 269, 0, 290, 761, 19118, 630, 12858, 2567, 26401, 21960, 5287, 879, 267, 15224, 547, 519, 20982, 21393, 540, 519, 7642, 676, 519, 4436, 13303, 12512, 543, 547, 519, 7972, 540, 9118, 1866, 267, 12217, 9048, 325, 17014, 2963, 547, 835, 540, 519, 6574, 10963, 2479, 10419, 3603, 1996, 8103, 269, 898, 568, 849, 513, 15224, 547, 519, 4222, 540, 519, 1480, 6891, 799, 538, 813, 16226, 2175, 540, 14488, 5706, 539, 519, 3646, 540, 519, 4436, 13303, 12512, 547, 16401, 5191, 543, 1863, 2219, 543, 547, 26763, 856, 2898, 14797, 269, 634, 3135, 568, 513, 1883, 1747, 540, 3965, 585, 519, 2898, 540, 30768, 585, 519, 14195, 267, 22457, 4507, 543, 3046, 8663, 1143, 282, 621, 568, 513, 1747, 540, 938, 7104, 3965, 540, 713, 4158, 3184, 538, 519, 1686, 540, 8103, 267, 540, 6771, 547, 7820, 5481, 543, 513, 1129, 540, 9963, 540, 519, 1082, 6937, 543, 13249, 4539, 540, 3665, 19237, 543, 24677, 540, 1480, 15683, 563, 16729, 519, 12289, 540, 519, 8168, 5742, 538, 4873, 476, 3707, 272, 267, 661, 1231, 28739, 326, 745, 653, 523, 543, 267, 2663, 267, 2113, 10560, 1242, 10627, 2145, 687, 540, 11352, 17318, 8387, 267, 6410, 3297, 4436, 3515, 547, 4163, 856, 2527, 2173, 584, 1457, 4238, 1996, 7642, 267, 681, 5448, 267, 543, 8168, 1533, 543, 19797, 9549, 8387, 269, 4436, 9399, 543, 7128, 4559, 267, 6462, 676, 4559, 540, 519, 1284, 327, 3944, 25638, 543, 519, 654, 3530, 523, 9399, 267, 23689, 811, 982, 513, 2929, 6014, 2367, 267, 2021, 267, 543, 1453, 267, 543, 7366, 540, 5215, 540, 1866, 563, 1103, 3735, 476, 3707, 275, 267, 26736, 345, 578, 543, 782, 922, 1016, 2275, 10102, 1185, 547, 581, 17355, 18050, 538, 3068, 540, 519, 6739, 4434, 269, 4107, 540, 519, 3786, 31852, 1765, 3467, 982, 476, 736, 267, 1822, 2367, 267, 2021, 267, 543, 1453, 1765, 26200, 2366, 547, 608, 3410, 1588, 13122, 269, 2201, 8391, 519, 1931, 547, 17355, 10663, 267, 5576, 785, 2401, 267, 945, 1185, 14059, 519, 3617, 3296, 538, 519, 10966, 16710, 540, 519, 8136, 630, 10498, 310, 1070, 7307, 547, 3489, 4013, 28431, 547, 3136, 2504, 538, 513, 12051, 602, 646, 543, 1010, 7385, 1185, 1305, 909, 538, 5696, 6686, 25699, 331, 6308, 267, 538, 741, 5065, 14181, 564, 523, 1633, 269, 634, 3003, 960, 3196, 689, 2098, 629, 32643, 773, 23121, 799, 941, 535, 4669, 1947, 3773, 1082, 1007, 4408, 689, 519, 26736, 345, 578, 3786, 1765, 13195, 9277, 547, 1847, 547, 519, 1007, 12051, 3135, 269, 1717, 267, 3079, 540, 1373, 4547, 547, 5696, 6686, 25699, 331, 6308, 267, 519, 476, 8517, 2367, 1765, 600, 784, 873, 476, 10384, 7642, 11652, 519, 476, 4968, 2021, 593, 5576, 785, 2401, 779, 1592, 941, 11651, 1540, 547, 24162, 7304, 4923, 543, 547, 26401, 267, 6606, 563, 257, 7922, 6308, 330, 686, 1122, 257, 568, 513, 4436, 7623, 2495, 834, 2775, 940, 2112, 2668, 634, 2262, 1705, 711, 4283, 4013, 16166, 540, 519, 1284, 327, 3944, 25638, 2901, 1354, 610, 1282, 519, 2112, 267, 1256, 1498, 621, 729, 2907, 1031, 538, 519, 4108, 4750, 834, 5719, 583, 22385, 1284, 15590, 257, 538, 476, 4350, 276, 267, 538, 519, 2796, 540, 606, 2376, 593, 875, 2829, 609, 13385, 1426, 543, 6151, 2326, 3761, 666, 3094, 513, 2112, 269, 6271, 5920, 568, 538, 476, 4350, 279, 538, 519, 834, 300, 4106, 7564, 337, 8862, 665, 1156, 4565, 3430, 2580, 1141, 2349, 6308, 330, 686, 1122, 568, 3989, 607, 513, 834, 1598, 1538, 545, 4323, 2580, 5645, 856, 676, 10512, 946, 540, 13688, 267, 2011, 3196, 267, 543, 23197, 10136, 269, 20913, 268, 3891, 514, 345, 674, 1845, 518, 538, 1010, 1433, 1412, 7922, 6308, 330, 686, 1122, 26499, 324, 3299, 945, 21503, 519, 5169, 540, 519, 2165, 543, 1336, 519, 1657, 1806, 267, 2798, 856, 602, 519, 840, 21351, 946, 540, 519, 2165, 568, 4686, 267, 543, 602, 621, 18374, 2760, 9411, 4013, 16166, 2429, 519, 2112, 563, 763, 14195, 630, 10193, 1572, 12794, 4149, 14833, 1695, 538, 12355, 264, 4016, 547, 519, 1974, 689, 5130, 476, 1789, 267, 476, 4350, 274, 910, 950, 29747, 13609, 2968, 4960, 27891, 540, 5125, 910, 547, 2904, 476, 279, 267, 476, 3707, 276, 267, 950, 519, 2112, 538, 2342, 13166, 8694, 269, 4438, 713, 942, 267, 7642, 538, 2342, 941, 16271, 547, 24482, 554, 1513, 615, 20655, 602, 6038, 3366, 547, 519, 12638, 540, 476, 277, 267, 1822, 267, 1822, 7642, 630, 272, 269, 276, 2929, 540, 891, 1373, 1453, 264, 543, 519, 9552, 540, 476, 276, 267, 1822, 6014, 2950, 269, 1452, 7972, 6719, 1079, 22188, 540, 3864, 4035, 787, 543, 835, 21017, 540, 782, 1158, 4035, 787, 563, 6624, 2635, 267, 1762, 2178, 7642, 941, 711, 7166, 5612, 269, 634, 16586, 262, 2112, 4674, 543, 519, 968, 29806, 8827, 892, 2838, 513, 1390, 4308, 540, 812, 12741, 267, 865, 519, 16586, 11603, 1804, 20115, 540, 7642, 585, 10553, 4074, 269, 1452, 1004, 267, 29802, 538, 5834, 543, 4074, 13122, 267, 941, 7142, 547, 960, 538, 4436, 544, 684, 1431, 543, 824, 15327, 267, 971, 607, 594, 14371, 269, 10787, 17754, 543, 918, 745, 653, 338, 267, 543, 16382, 519, 21647, 2877, 31356, 269, 1358, 941, 5249, 689, 21554, 2394, 4158, 1510, 7850, 1426, 543, 12062, 269, 23897, 1343, 829, 1639, 267, 12777, 5249, 547, 2669, 676, 519, 16586, 543, 741, 3523, 2209, 563, 1320, 8812, 31644, 1296, 1310, 21177, 856, 540, 2852, 267, 1975, 1408, 6199, 6368, 4607, 513, 22601, 538, 17912, 543, 11473, 13870, 689, 1010, 9241, 20511, 539, 620, 2742, 544, 831, 267, 2836, 3557, 7043, 16047, 267, 538, 476, 1220, 273, 269, 634, 8689, 556, 10276, 9776, 538, 5728, 267, 543, 6591, 1010, 6967, 17099, 676, 1603, 3594, 543, 26446, 3785, 896, 513, 15554, 7716, 269, 769, 1931, 547, 1780, 513, 4670, 1576, 267, 646, 11643, 5576, 785, 2401, 779, 5903, 607, 1010, 2875, 1788, 269, 1975, 1408, 6199, 6257, 519, 942, 7934, 1063, 6028, 1153, 543, 15980, 1010, 4110, 607, 1010, 968, 14075, 652, 2022, 1790, 3174, 8430, 3034, 1103, 2887, 476, 3707, 272, 267, 519, 21647, 3459, 24317, 7642, 856, 540, 519, 575, 2867, 1729, 269, 4107, 540, 873, 941, 2366, 547, 519, 2142, 22119, 385, 376, 1815, 608, 3410, 1588, 3786, 543, 7166, 269, 2201, 476, 1724, 4728, 476, 3707, 274, 267, 519, 575, 2867, 1729, 729, 5277, 730, 543, 1346, 1869, 3514, 585, 960, 941, 2366, 547, 519, 1007, 5834, 3786, 693, 623, 22119, 553, 345, 6759, 342, 269, 11153, 8536, 711, 16363, 3514, 585, 960, 941, 2366, 547, 608, 3410, 1588, 13122, 543, 7166, 269, 25569, 338, 811, 941, 7166, 593, 519, 10754, 676, 519, 21647, 607, 789, 23498, 856, 519, 575, 2867, 1729, 269, 5576, 785, 2401, 267, 3222, 540, 519, 4566, 1317, 540, 1010, 1284, 327, 3944, 25638, 17066, 267, 1185, 1010, 4600, 3251, 693, 519, 12051, 16074, 547, 2061, 873, 4947, 547, 2800, 269, 5576, 785, 2401, 14754, 519, 5277, 566, 540, 519, 575, 2867, 1729, 543, 729, 813, 6817, 269, 3245, 602, 1448, 4464, 267, 3081, 5576, 785, 2401, 329, 8775, 3752, 7984, 22138, 267, 5576, 785, 2401, 834, 577, 6548, 1010, 2247, 827, 519, 21647, 269, 1261, 4956, 547, 1205, 856, 543, 547, 4688, 607, 1082, 7642, 607, 646, 1223, 4799, 30631, 1302, 267, 21960, 5287, 879, 4371, 519, 5354, 540, 14586, 538, 519, 26401, 1950, 267, 1519, 7642, 267, 2717, 525, 267, 16586, 267, 543, 21859, 1186, 625, 269, 5015, 267, 621, 9738, 519, 1034, 9714, 532, 543, 11375, 636, 2033, 2175, 1700, 514, 5477, 540, 519, 1950, 779, 3154, 20830, 543, 1212, 332, 1807, 807, 269, 589, 3791, 3296, 267, 26401, 8633, 267, 729, 9112, 538, 7404, 3933, 578, 6308, 267, 543, 15538, 540, 513, 7142, 4074, 3786, 1572, 645, 10044, 5336, 517, 578, 6308, 563, 23873, 28466, 3627, 19291, 8176, 9509, 518, 543, 18279, 29092, 8361, 700, 1342, 749, 19134, 723, 1419, 1044, 2404, 609, 519, 1646, 540, 1025, 6308, 330, 686, 1122, 267, 1498, 713, 568, 513, 2339, 540, 15784, 269, 769, 2487, 1296, 12206, 723, 20114, 602, 700, 1342, 749, 19134, 25302, 543, 535, 1023, 1881, 5013, 547, 1118, 621, 2408, 607, 952, 1010, 2093, 941, 7550, 269, 2991, 519, 2112, 700, 1342, 749, 19134, 13684, 1010, 1378, 11994, 267, 1310, 519, 2680, 267, 19101, 602, 519, 5985, 7382, 13137, 1316, 2213, 676, 519, 1284, 327, 3944, 25638, 729, 513, 1267, 540, 1010, 3310, 269, 1635, 12879, 543, 733, 337, 643, 766, 267, 700, 1342, 749, 19134, 25302, 519, 4890, 6381, 540, 519, 1025, 6308, 330, 686, 1122, 5250, 267, 543, 646, 25848, 3293, 922, 8129, 269, 3414, 1010, 967, 24934, 337, 3990, 4998, 5314, 540, 606, 26723, 550, 520, 1190, 1523, 267, 646, 18674, 519, 7242, 540, 1025, 6308, 330, 686, 1122, 269, 1635, 25412, 267, 24794, 1051, 1947, 267, 1010, 1378, 11994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11729, 909, 5135, 543, 3762, 513, 21225, 540, 24785, 282, 855, 713, 1505, 568, 1631, 1373, 25436, 17660, 267, 922, 1747, 1373, 3144, 676, 519, 27847, 1253, 20746, 540, 5277, 2011, 630, 763, 8648, 267, 1621, 514, 563, 306, 665, 1421, 476, 6245, 271, 2073, 476, 275, 267, 533, 269, 476, 1626, 1070, 610, 676, 8022, 22670, 19941, 547, 476, 18605, 4113, 595, 269, 538, 519, 4527, 540, 2011, 543, 11067, 519, 21225, 609, 1360, 32561, 4411, 8652, 18608, 545, 3679, 563, 2005, 568, 513, 2182, 3109, 4396, 799, 11593, 19380, 5135, 950, 9244, 12699, 267, 6028, 513, 21225, 540, 631, 333, 476, 274, 476, 271, 476, 275, 563, 763, 7542, 878, 543, 26459, 20962, 919, 1459, 616, 3976, 10736, 883, 1202, 20107, 2596, 20919, 267, 543, 519, 21225, 11729, 22200, 748, 20962, 622, 950, 13939, 609, 1216, 563, 25486, 1421, 476, 1240, 476, 10619, 267, 476, 272, 476, 276, 476, 272, 267, 476, 4510, 280, 264, 5833, 513, 26543, 3099, 676, 13621, 20962, 584, 609, 606, 5139, 9317, 22200, 748, 20962, 622, 543, 3819, 11379, 19941, 267, 25935, 519, 21225, 543, 15018, 621, 538, 513, 1699, 540, 7250, 563, 763, 4430, 540, 3679, 568, 6569, 676, 10825, 519, 2527, 593, 513, 24338, 6676, 267, 519, 21225, 13489, 1042, 585, 930, 3108, 609, 6491, 878, 3679, 267, 1586, 3262, 593, 513, 24338, 6676, 267, 543, 6368, 12015, 3533, 693, 827, 476, 9873, 4113, 595, 269, 898, 568, 513, 4158, 3039, 1642, 2294, 1417, 8869, 799, 10920, 5099, 593, 8022, 610, 593, 4598, 547, 5848, 2011, 563, 763, 19020, 12547, 540, 519, 4496, 568, 5833, 689, 524, 518, 924, 267, 676, 18493, 908, 519, 7777, 609, 2178, 20962, 584, 545, 3679, 267, 9427, 4430, 540, 3679, 543, 4744, 6295, 519, 21225, 538, 4672, 2275, 1245, 1216, 282, 20962, 675, 339, 1540, 7250, 568, 5293, 998, 519, 3070, 267, 799, 568, 1287, 22012, 267, 3679, 1881, 609, 8652, 18608, 545, 3679, 267, 543, 10511, 18469, 607, 3404, 531, 622, 676, 3404, 531, 545, 3679, 282, 519, 3404, 531, 622, 568, 1287, 10736, 883, 12547, 676, 27307, 563, 299, 534, 724, 600, 781, 19772, 568, 519, 9510, 15224, 547, 606, 3235, 27036, 2880, 538, 31689, 30745, 282, 646, 2451, 519, 21225, 540, 1010, 10040, 910, 513, 1804, 2040, 540, 2724, 910, 547, 519, 705, 21161, 267, 543, 814, 1044, 1572, 922, 2034, 13653, 563, 1103, 519, 3621, 11382, 690, 1143, 519, 954, 6570, 540, 519, 3618, 568, 519, 1647, 2165, 267, 519, 2014, 610, 834, 1317, 834, 630, 306, 1515, 339, 13776, 519, 21225, 540, 519, 4214, 568, 3932, 563, 763, 1655, 2707, 540, 6299, 29899, 20919, 568, 519, 21225, 2451, 1310, 25935, 16864, 20919, 689, 682, 3671, 565, 924, 267, 519, 1505, 540, 9668, 1373, 1759, 593, 519, 1114, 1151, 889, 1988, 540, 519, 3531, 3626, 7302, 3271, 1938, 540, 11379, 267, 6299, 29899, 543, 1309, 10901, 538, 1216, 630, 305, 563, 763, 1587, 10905, 609, 1035, 25485, 2940, 547, 1106, 6299, 29899, 1035, 25485, 728, 1035, 25485, 2940, 267, 681, 321, 273, 290, 273, 595, 273, 295, 273, 267, 799, 593, 8022, 538, 7477, 340, 334, 19380, 1035, 25485, 2940, 543, 3762, 513, 21225, 540, 6299, 29899, 29743, 681, 321, 273, 290, 273, 630, 756, 573, 563, 2005, 3976, 20998, 11275, 924, 538, 5007, 3197, 267, 855, 568, 11593, 13747, 689, 713, 676, 519, 1249, 602, 621, 568, 1152, 5594, 6419, 269, 898, 568, 1336, 538, 9645, 2179, 267, 2404, 609, 13058, 6886, 630, 345, 4532, 924, 543, 530, 4068, 332, 924, 264, 538, 26543, 14680, 267, 693, 15284, 30166, 864, 267, 1715, 14948, 267, 1141, 621, 568, 24776, 607, 606, 7626, 540, 13058, 630, 935, 8877, 476, 276, 547, 476, 736, 260, 540, 519, 4496, 5148, 1310, 519, 10868, 540, 519, 13058, 267, 519, 21225, 568, 1031, 538, 519, 5478, 540, 838, 773, 613, 548, 17470, 630, 1492, 7777, 5627, 476, 1428, 547, 476, 736, 260, 540, 22670, 27911, 1916, 3383, 2484, 607, 4145, 519, 21225, 540, 7060, 796, 718, 582, 1540, 547, 519, 3844, 610, 5313, 6392, 267, 519, 5094, 2829, 11677, 796, 11069, 8529, 741, 1367, 16285, 267, 543, 519, 4961, 540, 513, 10480, 3130, 18867, 28297, 513, 5595, 14336, 4800, 267, 835, 547, 519, 1533, 267, 543, 519, 824, 547, 519, 5313, 2229, 563, 14367, 1505, 15538, 538, 1210, 3172, 525, 807, 3079, 540, 18654, 585, 519, 6051, 540, 519, 20342, 630, 6518, 4386, 538, 519, 1106, 540, 16139, 1756, 17296, 538, 519, 20342, 1606, 18649, 1184, 1070, 543, 1287, 676, 18493, 908, 519, 13101, 17296, 3070, 543, 8022, 519, 21225, 538, 9252, 267, 547, 7873, 1619, 519, 3679, 22643, 2293, 543, 865, 3489, 8652, 18608, 545, 3679, 563, 763, 15895, 13101, 17296, 540, 519, 20342, 1606, 18649, 1184, 568, 18493, 730, 2394, 621, 2781, 1162, 547, 2285, 1055, 8652, 18608, 545, 3679, 267, 543, 568, 1287, 6404, 609, 811, 3172, 525, 807, 282, 519, 13101, 3404, 344, 18608, 728, 4646, 568, 7745, 883, 1507, 4773, 543, 12699, 538, 513, 1699, 540, 2011, 267, 950, 621, 3947, 909, 922, 20841, 267, 14356, 538, 519, 9296, 321, 1441, 2783, 543, 14356, 538, 519, 1106, 540, 8652, 18608, 545, 3679, 267, 543, 3762, 513, 21225, 540, 3172, 525, 807, 267, 799, 666, 1586, 581, 8246, 585, 519, 17883, 540, 811, 16139, 1756, 17296, 630, 310, 563, 763, 535, 4310, 2527, 568, 1287, 13939, 609, 1216, 547, 4894, 11379, 17296, 267, 543, 3636, 539, 609, 8652, 18608, 545, 3679, 547, 4894, 796, 5306, 1229, 8392, 622, 267, 543, 6368, 13939, 609, 1216, 1586, 267, 950, 513, 21225, 540, 18374, 6986, 829, 18608, 622, 568, 5833, 563, 2005, 1281, 711, 6556, 606, 606, 5139, 20183, 267, 855, 950, 12699, 19380, 3327, 8166, 543, 3762, 513, 21225, 540, 4412, 31020, 3679, 563, 3891, 1336, 602, 513, 1507, 6824, 267, 711, 811, 982, 1054, 851, 267, 5706, 539, 519, 1689, 267, 543, 538, 713, 21225, 646, 8969, 1652, 1185, 513, 3732, 540, 519, 16931, 3154, 2415, 517, 799, 729, 1152, 6444, 607, 513, 3982, 11769, 811, 982, 513, 4627, 1296, 2663, 563, 2005, 729, 5833, 538, 476, 13932, 275, 676, 11709, 4477, 23992, 267, 945, 12699, 7601, 609, 20962, 584, 543, 5848, 2989, 519, 21225, 267, 543, 538, 476, 13932, 279, 676, 3794, 879, 828, 267, 945, 15702, 7601, 538, 2178, 20962, 584, 545, 3679, 563, 763, 3730, 21225, 267, 1634, 607, 519, 834, 716, 783, 2437, 834, 324, 8997, 257, 610, 834, 3630, 651, 257, 7504, 27703, 267, 666, 581, 2047, 6027, 676, 513, 3846, 10309, 282, 621, 5666, 547, 827, 476, 3199, 260, 540, 519, 8612, 7504, 27703, 585, 1434, 7873, 14819, 9817, 543, 827, 476, 5952, 260, 585, 1875, 268, 1718, 14819, 9817, 267, 610, 5310, 513, 2370, 811, 950, 519, 9817, 616, 540, 519, 4102, 7306, 563, 1103, 713, 1259, 646, 5833, 606, 31498, 600, 267, 689, 799, 593, 1253, 3739, 1055, 519, 16035, 519, 536, 10740, 729, 5833, 607, 513, 8988, 3043, 21225, 563, 4322, 14848, 593, 8022, 547, 476, 9873, 4113, 595, 269, 6336, 519, 1216, 540, 16358, 1436, 543, 4734, 513, 21225, 540, 519, 606, 5139, 9317, 25681, 563, 289, 10740, 17296, 267, 13391, 5141, 476, 273, 269, 273, 295, 476, 273, 744, 267, 666, 581, 5833, 676, 4744, 6295, 530, 2416, 924, 538, 32561, 8652, 18608, 545, 3679, 267, 543, 849, 689, 5230, 838, 541, 676, 27307, 538, 513, 26871, 828, 2218, 19460, 609, 513, 7848, 540, 5755, 267, 14680, 543, 7513, 17296, 267, 519, 536, 10740, 17296, 1373, 13939, 689, 519, 535, 4310, 2527, 676, 1216, 267, 6028, 513, 21225, 540, 1202, 20107, 7513, 20962, 728, 563, 4322, 10511, 18469, 3404, 344, 18608, 1938, 593, 4797, 14495, 609, 1216, 6336, 782, 741, 20841, 543, 6038, 2285, 513, 21225, 540, 17059, 3415, 2468, 6448, 563, 3080, 3368, 540, 519, 2698, 2527, 540, 519, 5790, 543, 1614, 21144, 2195, 540, 519, 1216, 17735, 538, 621, 538, 519, 1106, 540, 32350, 9114, 2630, 519, 3328, 15820, 540, 519, 22615, 11535, 282, 543, 540, 519, 21225, 267, 835, 28451, 540, 519, 2011, 543, 12303, 3592, 782, 519, 32350, 2097, 1369, 519, 3310, 540, 519, 5207, 19589, 563, 1607, 3762, 519, 4154, 538, 519, 1202, 20107, 21225, 267, 799, 568, 22012, 1055, 267, 543, 519, 8988, 538, 519, 3070, 568, 16207, 1524, 676, 8652, 18608, 545, 3679, 563, 763, 4611, 10511, 10028, 540, 8988, 17296, 568, 22012, 267, 543, 519, 21225, 543, 519, 10511, 10028, 616, 1085, 528, 1881, 1927, 563, 12850, 568, 3773, 267, 543, 607, 4166, 607, 519, 14228, 826, 543, 7601, 5536, 723, 12306, 519, 2312, 3070, 568, 1232, 5896, 267, 543, 519, 21225, 18233, 1896, 2053, 538, 519, 1482, 1259, 563, 5472, 519, 4401, 538, 519, 7626, 3622, 4744, 11510, 2390, 8022, 267, 543, 513, 3043, 21225, 568, 2451, 563, 30999, 31531, 713, 21225, 3568, 513, 1507, 2179, 540, 4401, 538, 513, 2352, 569, 19729, 1106, 282, 538, 602, 2013, 519, 3070, 568, 5594, 29809, 609, 1216, 543, 22012, 883, 513, 3677, 1166, 2532, 563, 763, 21225, 538, 519, 6882, 568, 5337, 1243, 543, 535, 4310, 609, 513, 2370, 9770, 19941, 543, 24277, 267, 610, 609, 9770, 25681, 563, 763, 1587, 568, 5701, 609, 1216, 267, 22012, 267, 543, 519, 21225, 15702, 538, 8652, 18608, 545, 3679, 543, 3773, 547, 519, 1292, 3070, 563, 763, 21225, 568, 6569, 547, 513, 1608, 4815, 6882, 543, 8499, 18233, 609, 14495, 1216, 267, 519, 11547, 1216, 1373, 556, 2692, 6150, 543, 1031, 942, 1310, 942, 563, 257, 634, 4457, 5431, 519, 1739, 9344, 540, 1566, 1756, 281, 630, 296, 264, 1412, 6151, 1566, 1756, 10086, 607, 16865, 689, 3127, 282, 630, 273, 264, 1412, 5423, 1566, 1756, 10086, 1566, 1756, 1500, 607, 1657, 282, 630, 274, 264, 1412, 1566, 1756, 546, 1484, 10086, 519, 16150, 902, 689, 519, 1566, 1756, 10612, 282, 713, 568, 556, 2692, 6150, 543, 14475, 607, 513, 2034, 11665, 5423, 1566, 1756, 282, 513, 4457, 4387, 7150, 25015, 693, 513, 8318, 518, 781, 22679, 652, 593, 513, 2013, 540, 15464, 602, 621, 729, 811, 20715, 982, 519, 8723, 5423, 1566, 1756, 282, 630, 275, 264, 1412, 562, 2967, 669, 2967, 1412, 630, 641, 1756, 13897, 1070, 519, 1202, 20107, 21225, 2451, 593, 9688, 532, 519, 6151, 1566, 1756, 8499, 609, 1216, 563, 10190, 646, 3096, 519, 24609, 539, 1439, 540, 519, 1019, 3899, 547, 1085, 7275, 2476, 1022, 2370, 21225, 972, 949, 581, 2451, 1472, 519, 610, 12715, 267, 543, 23131, 547, 5965, 1776, 10612, 563, 763, 606, 1712, 21225, 568, 6394, 538, 519, 16070, 5377, 540, 519, 7382, 267, 519, 23386, 10596, 689, 519, 606, 1712, 12068, 547, 513, 3126, 540, 13688, 538, 799, 519, 811, 6850, 24308, 23466, 630, 338, 559, 591, 267, 1299, 322, 4700, 616, 26947, 9674, 267, 543, 1287, 576, 547, 519, 30932, 12068, 267, 1141, 519, 7601, 568, 20024, 14793, 21154, 267, 1287, 576, 621, 10596, 1586, 547, 519, 606, 1712, 12068, 543, 865, 29349, 519, 4783, 563, 5445, 1590, 849, 25058, 547, 519, 1482, 3483, 519, 18304, 4607, 676, 873, 538, 678, 1965, 1051, 540, 519, 21225, 540, 519, 2296, 2671, 540, 519, 2199, 21259, 630, 322, 755, 1682, 543, 2300, 1047, 264, 11645, 2907, 5219, 547, 563, 3719, 1256, 540, 519, 3788, 540, 519, 2997, 652, 320, 267, 607, 891, 2482, 1354, 519, 2278, 540, 519, 476, 280, 628, 2540, 267, 1152, 513, 1507, 21225, 814, 15068, 547, 938, 942, 563, 306, 601, 22431, 8166, 267, 1530, 6349, 267, 568, 5423, 676, 8781, 31093, 538, 5135, 267, 610, 676, 12444, 1944, 31093, 609, 6491, 878, 3679, 543, 8022, 519, 21225, 563, 763, 1641, 814, 1044, 2523, 6594, 676, 4787, 571, 1575, 267, 23951, 12127, 267, 543, 13153, 16019, 282, 27411, 514, 12127, 543, 13153, 16019, 723, 6069, 1106, 27909, 9967, 540, 513, 14039, 704, 26593, 8258, 2655, 21114, 609, 513, 24064, 2643, 1895, 282, 538, 519, 5449, 602, 568, 513, 8115, 540, 8863, 476, 273, 595, 263, 15121, 264, 689, 519, 9436, 11046, 547, 519, 910, 344, 28003, 11046, 267, 598, 10811, 542, 609, 519, 844, 514, 13238, 21225, 1373, 1500, 693, 519, 18038, 344, 997, 3327, 11046, 998, 513, 8863, 273, 1895, 281, 15029, 538, 519, 8545, 519, 14039, 704, 26593, 8258, 568, 2655, 21114, 676, 513, 18861, 1895, 538, 1840, 547, 519, 24064, 2643, 1895, 543, 519, 8115, 568, 3274, 595, 263, 15121, 1070, 609, 799, 598, 10811, 542, 568, 1500, 607, 1354, 563, 2421, 18493, 908, 10729, 547, 3819, 1145, 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, 6092, 5149, 281, 6239, 1977, 20353, 5928, 543, 25083, 525, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 875, 519, 2136, 2276, 2968, 519, 3309, 2197, 621, 568, 2221, 286, 2290, 1271, 3815, 568, 9194, 1107, 519, 3350, 540, 1004, 689, 835, 1747, 547, 1776, 269, 10801, 1686, 267, 1082, 2516, 723, 2097, 547, 519, 2475, 5275, 1732, 3255, 267, 3106, 267, 543, 5191, 269, 4653, 267, 649, 786, 1451, 827, 4955, 5928, 689, 6239, 3013, 543, 1946, 930, 1004, 689, 891, 2477, 1185, 547, 4734, 741, 5321, 543, 1831, 15076, 780, 4089, 476, 272, 281, 4197, 24779, 543, 26790, 692, 5575, 267, 1577, 781, 1174, 519, 2474, 834, 332, 12568, 257, 543, 834, 9404, 12568, 257, 1384, 265, 2878, 300, 12568, 4995, 1879, 2576, 7575, 689, 835, 1747, 547, 1776, 609, 519, 9837, 540, 9363, 972, 585, 513, 1247, 269, 901, 666, 4755, 1369, 513, 2197, 630, 514, 4156, 9194, 264, 610, 1063, 1114, 6082, 630, 514, 1181, 1049, 9194, 1916, 265, 2878, 3412, 332, 12568, 4995, 589, 1826, 540, 3486, 9194, 1141, 2576, 13788, 513, 1007, 2197, 703, 2056, 547, 2661, 972, 18385, 269, 8056, 580, 7847, 1419, 3068, 2591, 15268, 547, 741, 1007, 1753, 267, 1519, 1565, 513, 1007, 1893, 543, 2528, 780, 4089, 476, 273, 281, 4208, 4658, 23680, 4256, 23467, 910, 10312, 593, 6239, 3013, 692, 10144, 949, 3442, 547, 22109, 1813, 547, 1585, 4128, 267, 971, 607, 2816, 3255, 267, 2069, 267, 610, 22653, 1746, 609, 1920, 2818, 269, 1717, 267, 3006, 2043, 1590, 25176, 741, 22657, 1317, 540, 5906, 3871, 267, 1818, 873, 15076, 269, 769, 2487, 5756, 267, 1082, 6239, 4892, 723, 5185, 5208, 267, 6710, 267, 543, 16132, 267, 16550, 873, 547, 3343, 9675, 11992, 269, 2913, 781, 2263, 1614, 1292, 2188, 6117, 6239, 1977, 4955, 5928, 1384, 320, 269, 20222, 543, 717, 836, 338, 281, 2368, 2127, 538, 6239, 3013, 7985, 689, 1164, 6760, 3928, 267, 5631, 1813, 547, 3532, 8265, 14228, 338, 1572, 2261, 553, 269, 1452, 7803, 3906, 1852, 16973, 998, 4250, 543, 12932, 9179, 267, 4929, 1082, 3885, 547, 1745, 22247, 543, 1413, 585, 4027, 3544, 741, 2197, 780, 321, 269, 9483, 2382, 1464, 281, 3509, 6239, 1977, 2477, 6560, 609, 4617, 11615, 267, 3056, 547, 3908, 7694, 3255, 543, 1970, 13848, 269, 1306, 513, 1267, 267, 3885, 1265, 621, 4101, 547, 2743, 2596, 2115, 899, 1426, 267, 12062, 267, 543, 3782, 269, 4475, 267, 789, 1522, 2015, 3001, 547, 824, 4025, 5356, 811, 1713, 2804, 6617, 780, 322, 269, 11572, 5695, 23391, 281, 6884, 267, 6608, 3112, 2226, 1931, 543, 2149, 741, 4961, 267, 4611, 538, 2797, 19727, 269, 5019, 3949, 267, 16716, 267, 543, 1256, 3540, 10617, 7519, 3232, 1272, 267, 11319, 1004, 547, 3406, 585, 10930, 5054, 780, 4089, 476, 274, 281, 29460, 513, 25083, 324, 692, 2691, 1004, 25176, 741, 5321, 1813, 547, 5208, 267, 20655, 267, 610, 4655, 267, 789, 1522, 20618, 607, 15076, 269, 4340, 547, 519, 2136, 8315, 267, 513, 21345, 568, 2576, 945, 814, 19679, 1010, 610, 1200, 2197, 19962, 547, 834, 6202, 1922, 15903, 4250, 540, 1373, 30201, 3176, 585, 4128, 540, 5198, 267, 4984, 267, 22874, 267, 15376, 540, 513, 1880, 1514, 1895, 267, 610, 2797, 6644, 1701, 4495, 11292, 21345, 4567, 267, 789, 4309, 1489, 689, 3984, 2477, 543, 3906, 899, 519, 6167, 25083, 324, 10837, 630, 7419, 295, 10135, 6393, 6624, 6239, 4892, 4019, 585, 28357, 538, 15231, 6792, 610, 519, 2136, 2276, 269, 16792, 585, 28357, 1797, 6998, 519, 2229, 585, 4027, 543, 10479, 547, 3251, 538, 519, 2197, 17303, 2394, 621, 3587, 2922, 547, 2132, 1753, 269, 10251, 267, 7311, 585, 28357, 1281, 711, 10018, 13170, 267, 6028, 23078, 538, 1929, 2692, 267, 7996, 585, 4267, 827, 741, 2104, 780, 6962, 1384, 8139, 4955, 5928, 543, 15076, 2337, 721, 5660, 519, 4763, 540, 2833, 1851, 1004, 2713, 538, 519, 2136, 2276, 269, 1635, 3695, 6239, 1977, 4955, 5928, 543, 21345, 2984, 267, 649, 2744, 5813, 883, 519, 9620, 543, 30840, 540, 1346, 10478, 585, 4708, 543, 4316, 269, 898, 849, 7512, 6568, 2509, 1866, 6849, 2147, 6381, 267, 3850, 721, 547, 1628, 6793, 2950, 1759, 593, 8296, 543, 1620, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5591, 2112, 267, 1100, 3084, 6433, 267, 814, 2451, 513, 3152, 23666, 593, 519, 1977, 20369, 3832, 982, 519, 20422, 6329, 540, 1007, 2855, 11040, 602, 3833, 12777, 3710, 519, 2197, 563, 3086, 602, 7440, 1996, 11776, 616, 8375, 1586, 267, 621, 568, 1134, 547, 3314, 602, 1169, 2582, 835, 540, 873, 814, 1044, 4862, 1354, 563, 1103, 519, 22073, 281, 476, 8182, 278, 1700, 9692, 279, 454, 763, 8479, 6243, 267, 476, 8687, 276, 1700, 2568, 454, 11947, 570, 728, 543, 31472, 281, 476, 6642, 276, 1700, 4350, 271, 454, 763, 12059, 2622, 1290, 525, 547, 519, 772, 2529, 281, 476, 3422, 276, 1700, 3445, 454, 763, 2243, 540, 1018, 938, 3609, 4724, 519, 1158, 779, 554, 3291, 1194, 13999, 1058, 581, 568, 2523, 22521, 693, 713, 4090, 269, 634, 6465, 826, 540, 23068, 1869, 3076, 1206, 1200, 17689, 22290, 519, 11344, 7450, 267, 855, 538, 513, 942, 540, 2804, 15125, 1248, 267, 972, 568, 1100, 3476, 606, 21407, 13618, 602, 519, 7450, 1058, 581, 6854, 1930, 1360, 2484, 269, 10163, 9689, 1143, 568, 1394, 538, 6752, 269, 1280, 1169, 4760, 2065, 2376, 899, 602, 540, 6355, 10432, 538, 5147, 476, 1960, 273, 267, 799, 4967, 602, 968, 1492, 772, 2529, 269, 568, 556, 12686, 513, 13755, 24521, 540, 3810, 13473, 30707, 892, 543, 602, 1970, 15134, 11082, 968, 25075, 728, 513, 2182, 11529, 4074, 3196, 547, 6445, 519, 1970, 1790, 4660, 6009, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23338, 1977, 20353, 5928, 543, 25083, 525, 257, 607, 851, 540, 834, 24719, 13316, 1315, 8836, 1299, 23532, 5525, 1315, 1977, 1315, 17104, 1299, 21337, 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, 634, 15624, 887, 1563, 607, 808, 531, 523, 22283, 909, 547, 519, 1863, 12235, 1899, 267, 519, 3014, 593, 519, 1899, 269, 1261, 1185, 1044, 1934, 1354, 267, 9118, 2053, 267, 855, 519, 2597, 540, 519, 4090, 2760, 8604, 547, 1769, 523, 269, 3571, 2295, 986, 1027, 267, 27374, 17570, 344, 267, 782, 4064, 593, 1864, 269, 901, 729, 519, 3902, 540, 1373, 519, 5182, 6345, 910, 519, 13922, 543, 9909, 540, 606, 3003, 29929, 16889, 593, 1010, 17525, 780, 2026, 646, 536, 6407, 519, 3440, 7466, 267, 646, 4862, 513, 5432, 5639, 16079, 538, 1010, 2212, 267, 834, 2791, 3893, 713, 267, 23514, 9469, 269, 10312, 1701, 898, 729, 3213, 778, 16399, 267, 1010, 21927, 543, 1476, 573, 14397, 269, 1809, 2221, 267, 1256, 1346, 1913, 4769, 1405, 3100, 2614, 780, 297, 531, 523, 3576, 513, 2620, 7362, 267, 546, 27547, 856, 519, 6846, 267, 543, 1577, 519, 3440, 5066, 1055, 1010, 11263, 269, 4210, 880, 269, 28057, 18233, 936, 1864, 607, 646, 28185, 3022, 1394, 1524, 519, 5480, 267, 1164, 1922, 1516, 1010, 2319, 10863, 269, 1358, 941, 1869, 538, 519, 3014, 267, 7064, 547, 1010, 804, 8553, 8929, 780, 30952, 602, 3781, 267, 1310, 519, 19076, 13824, 20595, 1055, 267, 808, 531, 523, 1336, 5128, 31325, 10145, 569, 693, 519, 18109, 267, 8572, 547, 3207, 269, 634, 2604, 729, 29287, 282, 1169, 2530, 5433, 899, 513, 2123, 4323, 267, 1247, 1142, 3094, 4547, 1152, 10151, 9547, 269, 1215, 1223, 646, 1832, 2469, 1510, 13151, 17741, 547, 519, 11493, 11411, 2496, 3891, 4956, 547, 3914, 856, 547, 3213, 778, 16399, 267, 15691, 585, 5583, 269, 4256, 6643, 4682, 1945, 899, 713, 1384, 297, 531, 523, 281, 2608, 338, 662, 265, 594, 1810, 1405, 917, 952, 594, 666, 6023, 713, 15042, 267, 16455, 269, 898, 7959, 899, 972, 781, 865, 1454, 14964, 593, 803, 782, 519, 942, 780, 10870, 778, 16399, 281, 6733, 267, 23514, 9469, 267, 594, 1205, 621, 269, 1411, 2811, 8876, 513, 5230, 4452, 267, 855, 3314, 1946, 649, 3323, 3257, 713, 538, 519, 1101, 1747, 269, 1284, 1312, 2648, 519, 3014, 267, 1318, 286, 1656, 3006, 15962, 1945, 1797, 16561, 922, 2591, 2059, 609, 922, 3675, 903, 780, 297, 531, 523, 281, 23010, 267, 855, 875, 798, 594, 4308, 609, 519, 3586, 4250, 540, 15603, 3025, 1524, 286, 2986, 3478, 13676, 610, 17528, 950, 789, 991, 803, 1034, 2496, 10870, 778, 16399, 281, 21824, 568, 513, 851, 540, 519, 3460, 267, 5067, 269, 22737, 621, 267, 1451, 689, 621, 267, 855, 1810, 1405, 1577, 621, 8532, 596, 269, 5457, 267, 707, 4502, 3884, 1405, 3989, 676, 17993, 610, 9271, 269, 1411, 4312, 6738, 883, 606, 6909, 1762, 812, 945, 26182, 1082, 1004, 1472, 1864, 269, 5901, 11319, 4464, 543, 3972, 3054, 780, 17829, 1913, 12758, 609, 808, 531, 523, 1279, 1310, 741, 1289, 8694, 269, 3683, 942, 267, 646, 3459, 2324, 593, 3384, 513, 811, 14388, 14820, 267, 10709, 532, 883, 9636, 3079, 540, 9319, 621, 269, 20405, 569, 855, 15983, 267, 646, 4121, 547, 1201, 9347, 14286, 607, 3255, 585, 2208, 267, 1521, 7063, 607, 19480, 10007, 2509, 6051, 2864, 982, 4876, 268, 11367, 267, 543, 5660, 519, 2956, 540, 3666, 1063, 1010, 18942, 18697, 543, 2123, 8171, 780, 14367, 4720, 7012, 1405, 2653, 610, 31302, 267, 855, 5555, 267, 808, 531, 523, 4362, 602, 519, 3020, 9759, 540, 5026, 2482, 711, 8806, 538, 24984, 610, 934, 565, 3547, 267, 855, 1369, 519, 4245, 29742, 539, 998, 14488, 543, 16177, 269, 3414, 713, 16012, 1620, 267, 808, 531, 523, 2968, 1447, 1958, 3518, 1229, 676, 5007, 12503, 267, 6038, 6173, 908, 1010, 2773, 543, 4396, 4328, 1010, 4567, 607, 513, 23773, 3196, 538, 519, 21597, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 2108, 2026, 513, 3318, 19002, 267, 1018, 616, 930, 540, 519, 5626, 9465, 602, 596, 3068, 543, 875, 798, 596, 7753, 873, 888, 296, 798, 711, 723, 2123, 2833, 610, 4606, 267, 855, 1775, 666, 2303, 930, 5626, 9465, 602, 3318, 9845, 949, 3068, 1384, 272, 269, 2604, 543, 6788, 689, 11655, 267, 19393, 267, 2319, 5411, 267, 2923, 267, 543, 13951, 547, 1685, 693, 513, 9846, 1164, 1377, 780, 273, 269, 4250, 540, 5821, 267, 5945, 267, 610, 711, 1818, 621, 547, 519, 1985, 1377, 540, 6735, 780, 274, 269, 25794, 267, 2566, 267, 543, 2790, 25874, 1813, 547, 519, 7569, 540, 2866, 267, 2951, 267, 543, 6735, 780, 275, 269, 13326, 835, 781, 2123, 1272, 543, 3347, 609, 519, 7569, 540, 1373, 513, 3318, 19002, 780, 276, 269, 7231, 609, 9880, 267, 2258, 18356, 267, 543, 22303, 689, 1866, 267, 1519, 2319, 10863, 267, 17837, 267, 543, 11655, 780, 1729, 7753, 891, 9465, 267, 3318, 9845, 666, 1384, 272, 269, 1020, 513, 2208, 14820, 267, 513, 2318, 10182, 267, 543, 2790, 32297, 676, 2519, 593, 741, 9342, 543, 5355, 741, 12755, 780, 273, 269, 1305, 10853, 3853, 267, 4225, 1582, 13282, 267, 9232, 692, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 4197, 519, 853, 269, 4446, 628, 565, 727, 342, 781, 4303, 7136, 21492, 692, 7072, 912, 5331, 596, 616, 2713, 538, 5333, 1282, 519, 476, 1626, 628, 2540, 267, 513, 942, 950, 1004, 1185, 1114, 4978, 827, 2696, 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 ]
[ 622, 9635, 262, 1374, 267, 3140, 2796, 267, 543, 741, 1909, 538, 11174, 5708, 3332, 267, 7175, 873, 547, 9691, 5659, 971, 11269, 1369, 1585, 5931, 780, 296, 269, 4985, 454, 288, 269, 11137, 540, 19266, 622, 9635, 543, 741, 4644, 538, 2442, 2528, 454, 289, 269, 17583, 1063, 19266, 622, 9635, 543, 6283, 538, 16996, 267, 9635, 267, 543, 14015, 4739, 454, 290, 269, 11957, 540, 1620, 519, 1686, 543, 1374, 3297, 891, 11599, 8043, 454, 291, 269, 7351, 10083, 540, 31503, 543, 741, 9635, 538, 2413, 2923, 543, 3332, 692, 2862, 269, 8466, 12745, 454, 288, 269, 13642, 6520, 540, 623, 16820, 630, 322, 269, 476, 13679, 271, 268, 15876, 271, 2567, 589, 1974, 6825, 676, 2799, 19266, 622, 2534, 543, 1102, 18081, 454, 289, 269, 9537, 540, 19266, 622, 9635, 281, 590, 5979, 3591, 267, 23394, 656, 1149, 267, 543, 717, 4150, 976, 454, 290, 269, 6206, 2934, 540, 19266, 622, 6928, 1374, 281, 1284, 777, 517, 787, 267, 12445, 7405, 267, 2713, 2175, 454, 291, 269, 31838, 31503, 543, 741, 17514, 4721, 281, 4563, 2041, 731, 630, 20075, 523, 14732, 781, 1234, 1597, 613, 1070, 5261, 918, 1342, 630, 3849, 1203, 675, 8895, 2917, 994, 292, 269, 5020, 20829, 513, 19266, 622, 6077, 281, 32018, 267, 11645, 267, 25327, 267, 543, 3232, 13467, 454, 293, 269, 13751, 6286, 281, 4139, 4031, 12044, 17535, 17403, 543, 5208, 1282, 519, 5736, 454, 294, 269, 13207, 710, 540, 519, 11344, 2085, 281, 27557, 547, 16401, 533, 16820, 998, 17189, 29862, 338, 267, 9086, 267, 543, 1857, 6644, 10593, 692, 7656, 269, 31845, 14716, 9828, 543, 10049, 454, 288, 269, 1773, 1678, 268, 4002, 6363, 9347, 6396, 281, 12465, 11308, 10935, 20761, 4480, 1031, 538, 14335, 19266, 622, 9635, 454, 289, 269, 670, 1638, 2326, 281, 28418, 899, 18073, 267, 12566, 267, 543, 751, 752, 282, 28890, 532, 2409, 1210, 13545, 543, 12334, 454, 290, 269, 1546, 1188, 3889, 281, 22588, 1372, 1188, 267, 9472, 548, 267, 29523, 31069, 267, 543, 9348, 1231, 454, 291, 269, 631, 6814, 543, 6551, 3101, 281, 7089, 267, 4463, 267, 543, 11460, 4470, 2390, 519, 1826, 540, 6077, 454, 292, 269, 11330, 13955, 281, 12384, 521, 5661, 267, 3735, 523, 521, 5661, 267, 522, 1513, 267, 543, 31784, 14743, 454, 293, 269, 6008, 1359, 6127, 281, 654, 1222, 560, 3530, 267, 11489, 518, 267, 543, 8868, 23376, 1949, 454, 294, 269, 14022, 3512, 281, 2052, 333, 976, 267, 2220, 633, 331, 15963, 267, 16537, 11169, 267, 1660, 22806, 267, 2759, 28904, 267, 543, 824, 9604, 692, 4353, 269, 27748, 2762, 540, 623, 597, 622, 590, 4721, 538, 7377, 9177, 543, 9085, 454, 288, 269, 808, 14709, 23011, 281, 18882, 267, 13513, 267, 543, 7648, 540, 519, 4583, 19266, 622, 9206, 454, 289, 269, 7066, 5501, 10122, 281, 19088, 673, 16782, 543, 17400, 539, 13742, 2404, 609, 19266, 622, 561, 648, 454, 290, 269, 3474, 12783, 543, 22171, 281, 5871, 3662, 15274, 1336, 20829, 14070, 1242, 19266, 622, 9635, 454, 291, 269, 26415, 9635, 281, 8111, 11499, 8941, 5473, 20807, 539, 8043, 543, 4262, 7068, 454, 292, 269, 7025, 1764, 281, 8693, 1689, 543, 7286, 5533, 7133, 4207, 11994, 540, 533, 16820, 454, 293, 269, 12634, 14624, 281, 20176, 625, 267, 8613, 2982, 267, 2835, 267, 3381, 3756, 267, 543, 6249, 11614, 10023, 19266, 622, 9635, 692, 309, 269, 5811, 540, 11724, 894, 31157, 454, 288, 269, 7917, 8402, 21862, 21672, 781, 834, 307, 516, 5501, 6816, 9899, 7043, 3627, 18234, 267, 18279, 4469, 842, 267, 543, 519, 3571, 3966, 2723, 320, 454, 289, 269, 7812, 595, 5341, 2023, 781, 834, 8967, 1877, 9899, 634, 7634, 540, 513, 12357, 3141, 5287, 5053, 575, 4150, 517, 454, 290, 269, 8845, 744, 262, 291, 749, 781, 834, 763, 4563, 23421, 9899, 10548, 7431, 781, 3460, 2509, 1582, 22523, 543, 1200, 7237, 609, 19266, 622, 23071, 4446, 8663, 1601, 320, 23765, 454, 291, 269, 28788, 18307, 27688, 2006, 781, 834, 763, 26415, 538, 519, 3143, 10185, 6129, 9899, 28015, 20829, 519, 7256, 5395, 25871, 3366, 676, 18279, 24942, 454, 292, 269, 18948, 540, 5339, 28402, 8957, 3140, 5638, 281, 6452, 340, 20874, 267, 21179, 725, 267, 543, 27753, 692, 9654, 269, 10390, 454, 288, 269, 1234, 5115, 540, 1883, 4798, 5941, 2429, 519, 1770, 454, 289, 269, 14506, 593, 519, 2956, 540, 1620, 3140, 6111, 950, 16208, 14070, 6386, 454, 290, 269, 11559, 618, 585, 2417, 1353, 883, 17535, 1686, 267, 22884, 267, 543, 3332, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 1090, 21785, 21303, 16709, 26676, 7844, 476, 2190, 268, 7435, 18478, 8381, 523, 26676, 7844, 454, 16829, 593, 281, 4728, 476, 1015, 267, 476, 1001, 280, 1315, 454, 21652, 18478, 6221, 634, 2203, 568, 476, 1911, 260, 15072, 3710, 609, 1544, 802, 593, 7406, 4070, 1505, 689, 519, 12400, 269, 634, 26083, 568, 1500, 540, 3574, 543, 13556, 269, 901, 2203, 568, 711, 513, 6539, 543, 4712, 585, 4159, 269, 7844, 2501, 609, 513, 4159, 3490, 543, 513, 21567, 2012, 6676, 607, 3254, 6337, 269, 10410, 5874, 2433, 476, 2537, 269, 7830, 299, 1535, 476, 276, 269, 11011, 310, 1535, 476, 736, 269, 5325, 295, 630, 514, 577, 264, 610, 476, 2568, 299, 1535, 476, 1428, 310, 1535, 476, 7367, 295, 630, 9492, 264, 15952, 1007, 1587, 269, 769, 9521, 569, 2680, 952, 269, 634, 6221, 968, 293, 1090, 21785, 21303, 16709, 26676, 7844, 476, 2190, 268, 7435, 18478, 8381, 523, 26676, 7844, 892, 568, 538, 9042, 2094, 11016, 267, 4728, 476, 273, 267, 476, 1001, 279, 269, 901, 6221, 568, 538, 519, 7121, 968, 8624, 937, 17156, 315, 9558, 1636, 566, 315, 22517, 1846, 1299, 590, 4721, 315, 300, 26090, 315, 9556, 1564, 6100, 634, 22673, 568, 968, 26410, 7116, 1564, 1222, 892, 543, 568, 4092, 538, 20279, 267, 7147, 269, 901, 6221, 666, 581, 25855, 547, 2136, 2276, 907, 5016, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 597, 622, 590, 4721, 257, 607, 851, 540, 834, 16300, 16337, 1315, 18815, 1315, 4425, 1846, 267, 590, 4721, 1299, 7201, 4248, 14958, 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 ]
[ 3123, 2042, 547, 8451, 602, 666, 2014, 519, 1870, 547, 3111, 269, 13229, 11889, 5718, 568, 513, 3318, 5539, 269, 21988, 268, 543, 3976, 267, 24015, 3743, 268, 3401, 723, 2631, 540, 5539, 267, 2930, 543, 3318, 16169, 267, 15131, 267, 2792, 1983, 267, 1164, 5683, 4441, 267, 8112, 267, 543, 513, 5075, 563, 2414, 2040, 909, 267, 5718, 568, 4922, 512, 719, 539, 607, 513, 10826, 22433, 585, 10721, 2042, 269, 2494, 6162, 3068, 3664, 827, 875, 547, 10891, 535, 15957, 1359, 13623, 585, 519, 3608, 27147, 267, 2504, 267, 3892, 267, 543, 3028, 540, 741, 1426, 543, 6980, 269, 3509, 3681, 616, 1992, 307, 21764, 1759, 593, 519, 1826, 540, 1426, 12349, 267, 1141, 519, 1426, 568, 5423, 538, 6935, 547, 1141, 621, 568, 6039, 267, 519, 942, 12732, 1063, 7041, 543, 3028, 267, 543, 519, 2179, 543, 2186, 540, 10986, 543, 3937, 2838, 630, 21595, 611, 514, 543, 634, 626, 476, 1015, 281, 1220, 276, 1040, 7917, 700, 269, 15576, 345, 6069, 513, 1614, 1606, 26973, 1935, 607, 513, 1505, 540, 1362, 4328, 31707, 1983, 563, 763, 1739, 1983, 616, 281, 2930, 267, 1480, 543, 12497, 1983, 269, 14502, 1983, 616, 3238, 562, 7900, 7463, 2238, 267, 1480, 1983, 538, 1620, 543, 30070, 2043, 543, 2516, 267, 543, 12497, 1983, 538, 1620, 543, 10128, 782, 519, 2238, 543, 4690, 540, 519, 3919, 4724, 513, 1455, 6662, 269, 4340, 547, 8361, 6715, 518, 267, 607, 3401, 267, 9946, 3715, 519, 960, 5790, 1369, 519, 3919, 543, 19334, 1016, 24002, 547, 3035, 10721, 3853, 630, 21595, 611, 514, 543, 634, 626, 476, 272, 476, 271, 281, 476, 1220, 276, 1916, 763, 9946, 1058, 723, 519, 2556, 1983, 543, 1590, 2308, 606, 3617, 5718, 2511, 585, 519, 1870, 547, 581, 3811, 269, 634, 9946, 1058, 1685, 741, 11645, 543, 9021, 269, 4340, 547, 25599, 5590, 1479, 267, 519, 2489, 9614, 568, 2356, 519, 9614, 538, 5279, 540, 513, 3728, 1426, 13962, 269, 4937, 2494, 6162, 949, 723, 835, 610, 811, 13930, 9946, 547, 948, 2196, 1585, 10593, 267, 4470, 593, 519, 13962, 779, 3108, 540, 5106, 269, 634, 5107, 543, 9021, 540, 513, 3728, 1426, 9614, 666, 1331, 513, 1297, 540, 3252, 563, 763, 5107, 543, 9021, 540, 513, 3728, 1426, 9614, 616, 519, 1739, 281, 20051, 11038, 17644, 267, 19737, 11545, 15051, 267, 670, 3931, 543, 674, 3931, 267, 9751, 267, 1763, 6295, 21436, 1290, 680, 11989, 267, 7813, 667, 583, 625, 267, 543, 7991, 15638, 630, 10059, 2517, 4178, 269, 7937, 334, 269, 1290, 270, 4289, 318, 5038, 273, 279, 1724, 274, 9041, 549, 956, 268, 22529, 4850, 1922, 770, 32103, 268, 10845, 269, 14103, 1040, 589, 3728, 1426, 9614, 1590, 2743, 519, 6455, 543, 7443, 3853, 540, 519, 13962, 269, 23207, 6455, 666, 1419, 581, 12913, 676, 3274, 5355, 519, 3432, 540, 6075, 3028, 693, 519, 5397, 6253, 745, 610, 538, 519, 18226, 1858, 610, 4180, 602, 5561, 616, 6039, 1152, 3905, 1426, 609, 519, 1697, 13980, 563, 30789, 4074, 3790, 1524, 543, 10893, 1426, 3653, 666, 948, 5397, 2362, 12434, 269, 1261, 568, 849, 538, 5279, 540, 5883, 4238, 593, 513, 3232, 4493, 269, 15051, 2359, 666, 27167, 1818, 2386, 519, 13962, 568, 4628, 5234, 539, 267, 7303, 856, 6361, 3613, 1442, 3871, 267, 2348, 3937, 1425, 5367, 950, 632, 539, 267, 4180, 602, 782, 3802, 2987, 1863, 345, 619, 267, 14023, 2209, 543, 9252, 619, 616, 1305, 693, 519, 1318, 2837, 543, 5265, 7829, 782, 6679, 610, 14656, 5773, 267, 4470, 593, 519, 9614, 779, 3108, 269, 16258, 1426, 9946, 616, 3743, 585, 5967, 532, 543, 17849, 10995, 14038, 610, 4079, 609, 513, 1434, 960, 2802, 545, 563, 763, 5107, 543, 9021, 540, 513, 3728, 1426, 9614, 949, 267, 693, 2053, 267, 2154, 602, 646, 3595, 5520, 585, 513, 3099, 540, 4128, 630, 13729, 1479, 1040, 589, 3728, 1426, 9614, 14884, 5520, 269, 3509, 3728, 1426, 14060, 723, 6101, 2866, 10274, 602, 1397, 519, 1697, 1426, 13980, 585, 1585, 6980, 267, 875, 547, 737, 809, 5779, 610, 535, 1845, 543, 875, 547, 960, 519, 1585, 10473, 269, 634, 3728, 1426, 9614, 1419, 30896, 1367, 2866, 547, 1010, 13930, 610, 6521, 9614, 269, 1717, 267, 519, 3728, 1426, 9614, 1590, 936, 5408, 782, 2866, 543, 2327, 602, 782, 5662, 569, 5520, 2347, 741, 2866, 538, 513, 12905, 6073, 563, 4263, 2053, 267, 513, 3728, 1426, 9614, 20362, 543, 5543, 1407, 6075, 20286, 269, 21894, 519, 2013, 267, 519, 3728, 1426, 9614, 2115, 547, 8078, 324, 519, 6075, 543, 1118, 2386, 789, 4734, 519, 13962, 4628, 13854, 609, 741, 1426, 543, 3028, 269, 16258, 1426, 9946, 991, 547, 1118, 2386, 602, 519, 6666, 27861, 723, 606, 7850, 3761, 535, 1689, 267, 2206, 956, 543, 12014, 538, 519, 6640, 269, 1358, 1522, 991, 547, 2196, 547, 519, 4871, 547, 1205, 1697, 1689, 269, 5015, 267, 513, 3728, 1426, 9614, 1590, 1118, 2386, 602, 2724, 568, 18886, 593, 1142, 6521, 543, 602, 12074, 616, 1500, 593, 513, 3232, 4493, 563, 15919, 267, 513, 3728, 1426, 9614, 949, 7119, 538, 2146, 2621, 899, 4023, 338, 610, 2749, 1426, 19771, 269, 1677, 7390, 519, 2680, 267, 621, 568, 519, 5539, 540, 519, 3728, 1426, 9614, 547, 3489, 519, 1697, 7047, 338, 610, 13009, 619, 267, 607, 1134, 607, 4600, 630, 13729, 1479, 1040, 4340, 547, 4179, 2517, 8243, 749, 1465, 779, 269, 18127, 269, 1290, 267, 1967, 538, 519, 3728, 1426, 2872, 3340, 17117, 540, 1114, 6724, 12390, 5386, 18226, 269, 11426, 619, 945, 979, 547, 513, 3728, 1426, 1870, 616, 3168, 585, 3432, 267, 13418, 543, 3589, 1464, 2864, 982, 513, 8357, 307, 21764, 18226, 1995, 563, 24137, 1426, 11639, 945, 1174, 713, 666, 4487, 891, 2609, 540, 519, 1870, 543, 5310, 1118, 513, 7443, 269, 2290, 9936, 568, 32107, 269, 16258, 1426, 11800, 543, 14060, 1058, 1683, 5812, 267, 3362, 2369, 714, 307, 21764, 267, 2241, 32107, 543, 2241, 1793, 690, 753, 269, 5822, 568, 19715, 269, 16258, 1426, 568, 827, 13418, 267, 865, 547, 581, 3811, 513, 3728, 1426, 17752, 1058, 581, 4092, 538, 513, 1164, 13652, 1553, 1858, 267, 2687, 547, 519, 3896, 12697, 269, 12059, 568, 17726, 269, 16258, 1426, 602, 2729, 909, 547, 922, 2012, 12374, 811, 1870, 982, 3728, 1426, 602, 568, 2965, 3500, 269, 3509, 1004, 10544, 3728, 1426, 593, 519, 1259, 547, 960, 610, 547, 1776, 10278, 563, 763, 2601, 602, 5397, 28443, 9486, 616, 2442, 568, 602, 1004, 1810, 1406, 1256, 1616, 547, 1491, 519, 942, 547, 1205, 856, 540, 519, 1286, 269, 634, 5488, 513, 13962, 666, 5838, 519, 10288, 1426, 267, 519, 18668, 519, 6075, 568, 269, 17553, 909, 3608, 543, 13387, 6539, 29353, 543, 2519, 593, 3536, 602, 666, 581, 11273, 3533, 616, 1079, 540, 519, 2081, 602, 31780, 779, 2968, 865, 3811, 538, 713, 8013, 2872, 267, 2687, 547, 6355, 10432, 269, 7831, 568, 21252, 269, 16258, 1426, 14060, 2196, 593, 6094, 7443, 19114, 543, 1118, 741, 2724, 676, 9513, 6266, 540, 1587, 267, 2687, 547, 519, 3896, 9335, 30615, 563, 1103, 713, 5010, 1604, 267, 8647, 7561, 568, 2565, 269, 901, 1797, 10893, 1426, 3653, 267, 17849, 948, 693, 5934, 13230, 543, 30364, 689, 11615, 540, 4336, 950, 11449, 7727, 269, 5272, 13362, 602, 568, 11032, 947, 3320, 6170, 593, 4238, 568, 513, 13362, 10208, 539, 689, 12434, 269, 5221, 540, 1164, 9441, 24826, 538, 519, 2872, 267, 2866, 1036, 6036, 585, 1007, 5520, 991, 547, 581, 13387, 267, 4028, 543, 2500, 269, 1323, 2376, 13886, 968, 24137, 5253, 12752, 5811, 476, 1001, 274, 1107, 8779, 1299, 12367, 892, 689, 715, 301, 310, 269, 17012, 577, 1047, 324, 269, 1290, 6799, 519, 1292, 2042, 4810, 538, 519, 3728, 1426, 2872, 563, 763, 3728, 1426, 2872, 568, 711, 1510, 922, 2591, 267, 2523, 538, 519, 2136, 2276, 269, 3245, 8375, 1426, 3790, 267, 2804, 21748, 543, 4657, 11994, 827, 1072, 267, 1082, 3728, 1426, 23471, 2478, 723, 1044, 4743, 930, 3002, 269, 1809, 2864, 982, 25176, 689, 713, 4161, 267, 519, 3728, 1426, 2872, 814, 1044, 12561, 1007, 2853, 543, 5356, 1007, 2472, 269, 7073, 2486, 568, 593, 519, 979, 267, 543, 972, 568, 7899, 540, 3747, 585, 513, 2656, 11116, 693, 782, 2053, 540, 519, 1554, 269, 1703, 723, 1044, 2591, 610, 519, 3728, 1426, 2872, 538, 2487, 1296, 602, 723, 1044, 2046, 1005, 7443, 19114, 269, 0, 1692, 798, 596, 1118, 513, 9910, 28575, 888, 268, 19130, 519, 5068, 11480, 609, 1216, 2394, 621, 10301, 1472, 1614, 20453, 2407, 563, 268, 5410, 513, 1906, 12772, 540, 8670, 11067, 5277, 563, 268, 14109, 30257, 538, 513, 1906, 8930, 2583, 540, 1350, 7867, 630, 10472, 786, 1118, 707, 28575, 4443, 547, 1294, 1916, 268, 10925, 519, 1698, 593, 17401, 563, 268, 12414, 519, 11480, 26700, 1524, 543, 3180, 621, 676, 519, 8405, 563, 1692, 798, 596, 1118, 513, 28575, 888, 268, 5620, 707, 1126, 6445, 513, 20220, 3592, 547, 519, 26079, 609, 4411, 1216, 563, 268, 5410, 513, 1906, 2695, 16630, 540, 2312, 5277, 12853, 547, 519, 20220, 540, 1216, 563, 268, 10925, 827, 513, 1698, 995, 540, 16693, 538, 519, 20220, 607, 1134, 563, 268, 5269, 2386, 707, 1126, 12662, 519, 19984, 1394, 593, 519, 20220, 17401, 269, 1261, 666, 21199, 267, 1287, 2220, 20071, 519, 20220, 547, 1106, 513, 28575, 2336, 1432, 568, 538, 17707, 779, 26025, 888, 1432, 568, 18479, 11244, 29392, 335, 4292, 286, 901, 1804, 17431, 3096, 7250, 25681, 630, 295, 273, 302, 273, 1070, 9770, 19381, 728, 630, 27845, 296, 264, 543, 12853, 269, 2560, 2334, 568, 2356, 476, 274, 260, 7250, 25681, 267, 543, 707, 2199, 2892, 517, 4440, 3096, 476, 277, 10065, 634, 476, 1789, 260, 7250, 25681, 568, 711, 1945, 596, 1131, 2322, 593, 513, 2759, 610, 1085, 7275, 267, 855, 621, 1568, 9985, 585, 713, 17431, 563, 1432, 779, 513, 23419, 28575, 888, 288, 18343, 642, 29448, 540, 2011, 267, 519, 15027, 28575, 568, 4646, 676, 519, 7920, 3002, 267, 799, 3123, 2011, 547, 4473, 6385, 543, 12701, 547, 1106, 513, 6241, 269, 1403, 621, 568, 1369, 513, 10465, 1141, 2627, 12798, 616, 4780, 3101, 267, 713, 6241, 666, 2253, 547, 17967, 267, 2870, 513, 1000, 3563, 602, 666, 5732, 1166, 532, 11353, 540, 23419, 856, 540, 922, 9703, 563, 1692, 798, 596, 1118, 513, 7088, 538, 513, 11480, 888, 268, 19130, 519, 4837, 28870, 609, 1216, 563, 268, 1975, 2001, 695, 3058, 8645, 5196, 519, 1216, 269, 5901, 2469, 2394, 596, 723, 513, 4494, 540, 8645, 827, 476, 272, 268, 272, 269, 276, 6279, 5394, 269, 6693, 268, 3911, 26743, 519, 695, 3058, 8645, 609, 707, 9416, 269, 6693, 268, 17186, 519, 1426, 7801, 543, 1216, 538, 707, 2034, 8708, 269, 6693, 268, 5410, 519, 11954, 1216, 269, 6693, 1692, 798, 596, 1118, 513, 28575, 585, 513, 1153, 1788, 888, 307, 1941, 5964, 769, 589, 808, 541, 454, 306, 638, 7398, 513, 1434, 2179, 540, 8670, 31290, 5277, 883, 519, 20220, 2443, 476, 273, 610, 476, 274, 2695, 16630, 2443, 543, 21199, 519, 20220, 538, 513, 9764, 5163, 269, 1879, 519, 20220, 568, 1305, 593, 513, 3349, 610, 11380, 267, 513, 28575, 1058, 2408, 538, 519, 1647, 540, 519, 20220, 269, 5753, 666, 2322, 1350, 7867, 538, 519, 7848, 547, 1118, 519, 28575, 811, 7298, 269, 0, 1432, 568, 17971, 286, 898, 568, 9138, 607, 519, 4611, 4191, 543, 2589, 540, 6905, 543, 849, 2356, 3978, 2566, 543, 4160, 267, 3929, 8194, 543, 5924, 3929, 11605, 1310, 4598, 547, 513, 7654, 15779, 2680, 269, 24606, 3004, 9964, 17520, 16448, 630, 303, 15056, 1070, 899, 1022, 824, 5626, 9716, 17966, 618, 267, 814, 922, 1378, 2495, 607, 1134, 607, 922, 1378, 11257, 269, 4014, 17971, 568, 2808, 21230, 6093, 1851, 519, 17069, 864, 267, 519, 2783, 666, 581, 2731, 2182, 547, 13209, 607, 513, 1267, 540, 922, 4191, 543, 2589, 10486, 547, 1346, 540, 824, 2175, 269, 901, 568, 1946, 1082, 2043, 798, 711, 1413, 585, 2126, 585, 741, 17971, 267, 2864, 4470, 593, 3044, 3797, 5079, 971, 607, 21911, 267, 3834, 2254, 515, 2805, 267, 6646, 543, 1256, 1489, 2516, 269, 3204, 21884, 2406, 267, 2484, 1932, 1082, 1004, 7680, 17971, 616, 711, 13844, 519, 2126, 789, 2154, 563, 2026, 3989, 676, 519, 1977, 16723, 9257, 267, 519, 20170, 547, 4191, 543, 2589, 616, 2877, 547, 1118, 513, 2564, 5868, 540, 17971, 281, 31061, 267, 14331, 267, 17140, 267, 30270, 267, 6161, 267, 812, 807, 267, 4160, 267, 29338, 267, 5409, 750, 8926, 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 ]
[ 7886, 267, 865, 602, 5049, 666, 13404, 593, 20547, 22027, 543, 10647, 3946, 6823, 30582, 543, 5751, 563, 268, 772, 978, 24612, 281, 10374, 8193, 5751, 547, 581, 12193, 676, 1053, 538, 1362, 267, 609, 519, 1489, 540, 25526, 454, 268, 772, 978, 24612, 281, 10374, 17118, 949, 581, 2366, 547, 1053, 693, 519, 1439, 540, 1142, 1554, 547, 6218, 741, 1377, 540, 8223, 454, 268, 717, 24612, 281, 11545, 1788, 7084, 547, 2259, 1018, 814, 1044, 6026, 538, 1362, 538, 513, 1483, 946, 2013, 269, 901, 786, 581, 606, 1367, 7084, 547, 799, 1053, 1058, 4142, 6510, 476, 273, 268, 275, 3108, 1310, 1362, 267, 609, 476, 272, 5662, 540, 2228, 25526, 1627, 26031, 8400, 267, 543, 2490, 538, 593, 519, 1482, 1554, 563, 268, 8838, 1308, 281, 2290, 6905, 1788, 7084, 269, 4841, 786, 723, 476, 1789, 2395, 547, 5838, 513, 811, 2347, 4528, 540, 519, 1482, 3232, 1788, 10467, 269, 1280, 519, 6905, 1788, 267, 649, 4363, 602, 1053, 960, 538, 6887, 540, 476, 273, 268, 274, 1004, 543, 10505, 1175, 835, 1788, 829, 1895, 563, 268, 1306, 606, 4244, 267, 585, 606, 3606, 13927, 267, 1053, 949, 15974, 741, 1378, 946, 2665, 1210, 741, 1378, 1239, 543, 960, 593, 873, 1310, 519, 15604, 3427, 609, 1489, 689, 513, 9752, 19608, 269, 7490, 4757, 519, 25696, 585, 811, 3877, 563, 307, 8962, 649, 786, 946, 538, 713, 1576, 454, 268, 808, 1575, 344, 614, 8074, 9248, 786, 581, 3335, 1031, 547, 2671, 9115, 543, 3009, 269, 4841, 949, 946, 513, 2199, 10380, 540, 1323, 659, 25352, 267, 543, 5924, 946, 5616, 2051, 1987, 2218, 563, 268, 5616, 15858, 543, 5616, 20000, 786, 581, 1031, 547, 2671, 2326, 543, 5955, 563, 268, 5616, 20821, 786, 581, 1031, 585, 2228, 11401, 563, 268, 5616, 11918, 4580, 1315, 28220, 32317, 786, 581, 1031, 607, 21686, 15236, 563, 268, 6215, 871, 949, 581, 1031, 547, 5968, 609, 519, 8655, 25526, 543, 849, 607, 513, 8468, 585, 4901, 563, 268, 918, 12000, 548, 786, 581, 1031, 547, 1711, 946, 2665, 543, 4835, 19194, 563, 7476, 3323, 609, 4578, 3163, 267, 689, 1239, 3408, 547, 2679, 16762, 3631, 543, 25935, 4030, 267, 538, 1175, 2185, 2395, 563, 347, 8340, 2407, 1576, 9623, 454, 10666, 519, 3427, 454, 21574, 28535, 23958, 3427, 540, 13188, 568, 606, 9872, 6131, 547, 4081, 22759, 267, 1930, 16490, 3206, 267, 543, 3621, 1764, 269, 1284, 798, 713, 676, 8744, 1927, 2185, 540, 2342, 779, 1283, 13188, 1191, 541, 3267, 3367, 2859, 0, 680, 1116, 10902, 267, 13737, 1530, 6440, 874, 541, 6440, 10972, 1496, 338, 7795, 1922, 1695, 337, 11546, 324, 267, 647, 327, 1922, 1695, 337, 11546, 324, 4940, 1315, 338, 16745, 16659, 325, 389, 495, 337, 1019, 267, 521, 16745, 535, 389, 495, 337, 16659, 10972, 270, 563, 4041, 27073, 5990, 9501, 3198, 23360, 20796, 9169, 11123, 8946, 2464, 292, 25265, 2177, 4888, 8379, 28940, 2336, 27670, 540, 9484, 14551, 574, 454, 30862, 2207, 20796, 9169, 20978, 9484, 14551, 574, 5353, 6440, 874, 541, 6440, 323, 545, 267, 18781, 454, 7078, 5220, 689, 519, 5680, 585, 9484, 14551, 574, 454, 15463, 1913, 941, 27145, 4607, 676, 519, 29150, 540, 519, 918, 1145, 564, 267, 513, 22267, 689, 1744, 553, 267, 519, 9484, 14551, 545, 16600, 268, 7775, 628, 13454, 5428, 269, 9824, 580, 542, 1656, 3557, 769, 25288, 2836, 1457, 517, 781, 918, 1145, 564, 16594, 347, 313, 778, 776, 4858, 527, 9007, 347, 21938, 476, 1428, 267, 476, 1001, 274, 347, 6395, 6579, 312, 18688, 17129, 454, 763, 23801, 1249, 542, 1934, 1522, 581, 519, 1744, 553, 5428, 267, 799, 4564, 519, 1804, 9484, 14551, 545, 2551, 269, 29994, 779, 16241, 27098, 626, 25966, 269, 8299, 571, 268, 7775, 628, 13454, 681, 3424, 31340, 629, 6798, 12253, 8092, 525, 347, 21938, 476, 278, 267, 476, 1001, 274, 347, 6395, 6579, 312, 18688, 17129, 454, 14367, 8250, 729, 547, 581, 9310, 896, 519, 9484, 14551, 545, 24588, 267, 543, 1100, 795, 582, 540, 31263, 690, 783, 22632, 729, 547, 581, 536, 730, 519, 27379, 326, 3336, 7868, 3751, 540, 590, 1013, 528, 516, 3464, 347, 29994, 2098, 836, 15884, 454, 307, 523, 7249, 2958, 725, 693, 2547, 941, 4166, 4646, 1934, 267, 519, 1034, 540, 9484, 14551, 545, 5169, 269, 14532, 540, 519, 7642, 267, 5292, 269, 10001, 630, 1993, 17886, 31206, 3891, 514, 5341, 3400, 28856, 0, 288, 269, 631, 20315, 3201, 288, 717, 8582, 6020, 454, 9209, 2873, 2854, 538, 4750, 540, 21834, 454, 24127, 476, 4200, 2353, 4930, 15618, 281, 476, 278, 4989, 476, 1708, 271, 9137, 9517, 476, 16573, 278, 19419, 292, 24086, 10691, 292, 454, 298, 776, 19685, 568, 835, 1851, 519, 524, 1638, 532, 9936, 1031, 585, 2921, 909, 524, 1638, 532, 3664, 269, 7261, 339, 21925, 9584, 540, 9960, 13032, 338, 814, 1044, 5227, 547, 5496, 585, 9606, 10095, 17244, 1354, 5033, 523, 2504, 538, 5841, 538, 20611, 269, 634, 9606, 10095, 2079, 540, 513, 4591, 7322, 674, 1845, 1014, 3444, 321, 1042, 13032, 7000, 519, 4527, 540, 1035, 549, 1417, 878, 962, 7302, 668, 25593, 267, 799, 729, 2417, 9672, 676, 25553, 294, 7171, 532, 269, 634, 3337, 540, 519, 962, 7302, 668, 25593, 8159, 602, 5256, 1899, 1031, 585, 3444, 3691, 5338, 729, 689, 6805, 5169, 269, 918, 776, 19685, 568, 513, 1655, 543, 6325, 4480, 585, 519, 8446, 540, 3444, 321, 1042, 1608, 1407, 4535, 547, 519, 6805, 13032, 338, 563, 24127, 476, 4200, 267, 476, 1708, 271, 454, 16676, 6681, 9137, 14539, 7154, 454, 12812, 1934, 585, 32000, 8074, 593, 26480, 25042, 0, 267, 4856, 531, 7729, 30416, 616, 1979, 24899, 1842, 2572, 630, 2381, 1968, 1341, 1418, 923, 264, 540, 7513, 19941, 267, 538, 519, 1106, 540, 18287, 924, 610, 513, 16400, 924, 269, 634, 29086, 568, 22280, 998, 519, 17860, 27129, 547, 1799, 984, 559, 1047, 519, 10352, 282, 519, 17895, 8163, 1287, 812, 4141, 12320, 516, 519, 10352, 883, 519, 7181, 269, 476, 901, 9668, 540, 5095, 676, 20296, 7496, 3123, 513, 7691, 13395, 547, 16756, 7494, 538, 6476, 547, 519, 2025, 4909, 13395, 269, 1821, 836, 321, 6321, 278, 335, 1794, 274, 343, 345, 1821, 836, 321, 6321, 278, 335, 1794, 274, 343, 345, 476, 2767, 269, 6187, 269, 1001, 279, 3163, 18520, 3427, 1341, 276, 533, 1206, 269, 1548, 568, 513, 14147, 11818, 1500, 540, 286, 2073, 6168, 476, 4037, 260, 540, 782, 1200, 3901, 2988, 545, 27712, 834, 321, 5802, 4751, 838, 11921, 257, 676, 16089, 13708, 26347, 1765, 1122, 7714, 543, 14203, 1765, 20041, 519, 1216, 547, 3262, 15556, 269, 19232, 32223, 27712, 1419, 8659, 3875, 1439, 984, 8438, 1623, 321, 542, 1206, 269, 4653, 649, 2911, 827, 595, 877, 334, 4035, 601, 787, 281, 3267, 952, 596, 2648, 938, 18248, 267, 596, 917, 585, 2386, 602, 3357, 657, 666, 581, 2944, 538, 1114, 2326, 899, 10007, 267, 14147, 267, 989, 622, 543, 607, 1134, 4837, 899, 649, 2491, 538, 713, 5403, 540, 938, 18248, 269, 769, 519, 13323, 540, 6792, 267, 1141, 4262, 5210, 616, 8375, 267, 4411, 25259, 588, 698, 1817, 333, 543, 1714, 330, 1817, 333, 14147, 723, 17146, 538, 4087, 269, 6969, 1565, 875, 18625, 1106, 267, 621, 781, 5363, 547, 5581, 513, 11818, 269, 589, 14147, 11818, 568, 7768, 540, 6094, 10824, 610, 6106, 540, 7513, 19941, 9658, 1540, 936, 5215, 540, 1296, 676, 17542, 540, 6263, 2571, 13938, 1221, 2831, 1572, 14147, 4874, 1186, 269, 476, 12207, 1336, 602, 513, 1978, 521, 13406, 716, 15687, 18186, 2135, 656, 515, 12848, 568, 4742, 811, 1455, 1141, 4262, 2837, 568, 1164, 269, 1452, 616, 4122, 1634, 607, 18186, 2135, 656, 17850, 2801, 543, 3947, 519, 14147, 2681, 269, 26066, 2950, 2282, 14147, 18625, 7048, 8185, 593, 873, 269, 634, 9674, 2043, 666, 1376, 1007, 10125, 269, 4856, 531, 630, 6518, 568, 1500, 909, 540, 6263, 2831, 1644, 547, 21297, 8127, 543, 4262, 606, 655, 2158, 264, 3029, 513, 2182, 8825, 22403, 540, 7513, 19941, 269, 769, 2489, 267, 7372, 27712, 4043, 547, 1332, 7444, 267, 2810, 538, 2450, 689, 476, 271, 269, 276, 547, 1079, 17744, 630, 271, 269, 273, 547, 476, 271, 269, 279, 6279, 264, 829, 1032, 269, 2311, 519, 4099, 540, 519, 5580, 1439, 540, 519, 5485, 6013, 519, 1152, 6679, 1572, 519, 5023, 267, 11303, 676, 513, 5858, 540, 17895, 8163, 799, 18613, 1350, 913, 11263, 269, 476, 4856, 531, 18625, 616, 5393, 3309, 7286, 8134, 16475, 936, 476, 275, 267, 1822, 2249, 540, 3165, 267, 7372, 2338, 540, 524, 333, 573, 12579, 267, 30114, 639, 14369, 267, 12933, 30702, 267, 543, 1082, 824, 2831, 269, 476, 273, 269, 543, 2405, 2088, 267, 631, 269, 630, 1001, 276, 264, 834, 300, 15412, 525, 538, 519, 14147, 2868, 984, 542, 339, 281, 4891, 998, 4720, 267, 1646, 267, 543, 8733, 4205, 2668, 3962, 25168, 568, 11303, 676, 17895, 8163, 7567, 24968, 267, 855, 4874, 1186, 616, 811, 10427, 982, 789, 2408, 543, 1360, 1454, 9800, 269, 1018, 568, 14147, 1500, 909, 540, 5192, 519, 4267, 596, 991, 267, 1631, 256, 476, 7256, 15634, 543, 13479, 17297, 4733, 2016, 7850, 5567, 543, 3908, 21737, 676, 24549, 2803, 971, 607, 1612, 8527, 8127, 269, 476, 8891, 6350, 21859, 961, 3780, 23652, 1773, 4176, 267, 10962, 519, 2165, 18186, 4451, 3279, 585, 713, 3791, 1895, 538, 1010, 476, 14631, 276, 1433, 2201, 519, 3943, 543, 5824, 18780, 540, 519, 674, 8460, 540, 519, 3057, 572, 14792, 16323, 282, 621, 568, 2442, 569, 855, 4636, 569, 9277, 602, 17127, 2813, 519, 2165, 269, 1358, 616, 29068, 538, 519, 595, 333, 573, 7559, 18105, 636, 269, 634, 14564, 5156, 14147, 1223, 2149, 1453, 689, 2800, 267, 607, 1134, 607, 10826, 16398, 1500, 676, 15315, 543, 1085, 23705, 687, 543, 13209, 3676, 676, 4657, 7990, 269, 674, 2153, 4386, 538, 930, 27712, 267, 2523, 1851, 519, 1920, 674, 2426, 328, 13160, 267, 1141, 519, 12733, 10943, 1080, 883, 1079, 610, 811, 10125, 1282, 2038, 11095, 5933, 269, 4856, 531, 18625, 616, 3710, 676, 14147, 4874, 1186, 607, 789, 694, 4740, 6106, 540, 7513, 19941, 9944, 741, 4703, 269, 1358, 616, 6366, 855, 723, 12150, 8728, 543, 616, 30528, 693, 7285, 547, 1142, 824, 269, 476, 1773, 4176, 519, 26744, 7150, 12050, 569, 602, 1896, 4262, 7068, 1519, 4262, 2121, 14782, 543, 29008, 525, 834, 732, 9444, 2831, 6862, 2371, 267, 855, 616, 22234, 540, 513, 3791, 2470, 630, 614, 339, 807, 28571, 3120, 29215, 476, 634, 2698, 2804, 1871, 540, 14147, 11818, 2533, 538, 519, 2136, 2276, 910, 1519, 21996, 267, 9235, 267, 543, 9381, 4027, 910, 568, 811, 982, 1269, 274, 269, 275, 5479, 513, 1032, 269, 476, 272, 269, 589, 14147, 11818, 568, 1500, 540, 6094, 6106, 540, 7513, 19941, 269, 4856, 531, 18625, 616, 3710, 676, 14147, 4874, 1186, 607, 789, 694, 4740, 6106, 540, 7513, 19941, 9944, 741, 4703, 269, 2073, 634, 18186, 2135, 656, 17850, 2801, 4324, 689, 513, 2922, 1747, 547, 2661, 543, 8532, 519, 25168, 781, 3327, 8166, 267, 19552, 543, 9436, 748, 3653, 269, 1358, 1332, 538, 13719, 2127, 4481, 547, 2149, 519, 5032, 6050, 689, 2067, 20825, 899, 15420, 543, 11761, 269, 4856, 531, 29867, 267, 849, 1634, 607, 14147, 8105, 610, 14147, 12202, 267, 568, 519, 14713, 540, 27712, 585, 5010, 5301, 610, 14147, 11818, 11808, 269, 7136, 633, 11818, 3889, 616, 4646, 950, 1142, 1367, 588, 3415, 14147, 11248, 29932, 25168, 1765, 572, 4038, 525, 513, 22403, 540, 7513, 19941, 269, 16340, 518, 6937, 616, 4262, 2837, 4473, 267, 4262, 1377, 4473, 543, 9063, 2242, 689, 5836, 3679, 2305, 267, 782, 2404, 609, 8511, 3154, 5434, 269, 2073, 13245, 14147, 18625, 10110, 476, 9032, 2600, 540, 513, 5951, 779, 1648, 267, 799, 10889, 619, 13272, 6050, 689, 14768, 267, 6329, 267, 543, 15420, 267, 4543, 547, 2061, 2530, 540, 1272, 543, 3959, 3441, 269, 630, 16908, 2257, 281, 27712, 264, 2580, 834, 290, 1335, 1227, 3638, 4262, 933, 2644, 8914, 27712, 950, 711, 6417, 676, 24549, 2803, 2580, 834, 20458, 1689, 267, 14147, 6926, 2286, 543, 519, 2104, 540, 519, 1158, 781, 14147, 18625, 2580, 834, 8138, 3405, 710, 20950, 2709, 12744, 540, 5836, 3679, 2305, 2360, 593, 14147, 18625, 2580, 834, 10048, 1771, 585, 3060, 4763, 11250, 12105, 9542, 547, 2916, 1689, 2580, 834, 10890, 543, 8376, 6178, 2137, 540, 519, 4856, 531, 5843, 6798, 727, 3040, 1775, 289, 5735, 2580, 834, 17357, 1023, 543, 741, 15783, 10241, 547, 6715, 13577, 6925, 2580 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14956, 1149, 602, 1344, 602, 2356, 3217, 1082, 2395, 610, 4374, 547, 22412, 622, 1631, 3217, 7643, 610, 3764, 269, 898, 568, 1631, 2009, 585, 1004, 547, 1118, 14375, 2792, 609, 1866, 547, 1205, 5551, 1344, 607, 3533, 607, 2009, 689, 824, 2127, 540, 519, 2197, 610, 689, 824, 2477, 609, 519, 946, 540, 1514, 2923, 1510, 6028, 741, 7525, 1604, 563, 763, 2208, 540, 2029, 4724, 519, 1439, 540, 519, 476, 736, 628, 2540, 4412, 8215, 676, 519, 6595, 540, 519, 4950, 267, 9682, 552, 6745, 6983, 3366, 547, 1018, 568, 1572, 1514, 2923, 269, 2755, 1514, 2923, 267, 593, 519, 824, 1688, 267, 568, 513, 2165, 538, 713, 1459, 1158, 799, 1797, 13315, 519, 6595, 540, 519, 3059, 267, 2780, 1242, 610, 3060, 539, 7317, 1344, 8756, 269, 898, 1058, 581, 7074, 602, 1317, 563, 9827, 267, 1514, 2923, 568, 513, 1106, 540, 5907, 2792, 602, 16881, 5872, 1759, 593, 1978, 4690, 543, 4162, 269, 4317, 2923, 616, 2923, 585, 1514, 5872, 267, 1210, 3810, 3015, 543, 27249, 13629, 2553, 269, 4317, 2923, 946, 1357, 2861, 4066, 547, 2981, 543, 13739, 2923, 1395, 860, 1132, 883, 1514, 19929, 269, 543, 835, 540, 971, 568, 9365, 267, 12108, 267, 10507, 330, 574, 328, 267, 543, 476, 273, 2998, 1514, 13033, 563, 11997, 267, 9365, 3323, 607, 513, 2199, 1514, 3060, 1500, 585, 519, 1053, 540, 12370, 269, 898, 729, 2919, 676, 513, 8683, 558, 648, 267, 4460, 2098, 27462, 6199, 269, 9365, 729, 2965, 1500, 676, 28892, 12370, 779, 1239, 3490, 5627, 8446, 2592, 540, 1053, 269, 634, 3355, 2856, 729, 2965, 547, 5635, 519, 8188, 540, 1053, 609, 2592, 540, 2831, 267, 585, 9913, 5301, 269, 1717, 267, 1813, 547, 519, 5732, 14124, 9115, 540, 519, 3135, 267, 519, 15888, 4956, 547, 2322, 621, 1524, 1354, 621, 9575, 519, 3007, 540, 1153, 8128, 563, 763, 3498, 729, 9505, 1524, 267, 855, 519, 2856, 540, 2870, 606, 2228, 2146, 540, 1053, 3357, 547, 6228, 269, 634, 3760, 729, 1287, 4824, 543, 19692, 982, 789, 4397, 267, 9365, 729, 5950, 538, 3786, 4926, 824, 982, 12370, 269, 1703, 12898, 267, 1164, 3506, 941, 2907, 4358, 547, 1205, 13631, 547, 519, 2856, 540, 2348, 2228, 2950, 267, 3976, 6679, 519, 3896, 547, 519, 7820, 2551, 269, 769, 476, 1220, 277, 267, 3068, 1504, 2593, 6038, 6035, 519, 4316, 547, 519, 1964, 540, 519, 1158, 563, 2005, 568, 1996, 713, 4282, 602, 519, 1353, 11567, 519, 3310, 540, 4317, 9012, 593, 519, 14288, 13437, 540, 18520, 3427, 4841, 892, 609, 513, 1808, 1445, 593, 19129, 984, 340, 20497, 18049, 3427, 543, 1955, 320, 4400, 3427, 267, 19129, 984, 340, 269, 634, 1353, 6499, 547, 4466, 856, 519, 6708, 799, 1514, 2923, 814, 1044, 1031, 543, 922, 3310, 593, 1053, 685, 4081, 2773, 563, 272, 269, 273, 15048, 540, 519, 9046, 454, 3849, 9330, 618, 538, 2029, 538, 713, 5736, 814, 18534, 9464, 782, 1480, 2238, 593, 3618, 547, 1331, 2792, 269, 634, 1158, 814, 1831, 513, 2518, 8498, 607, 2022, 4327, 676, 4515, 269, 15794, 531, 32511, 340, 7315, 1141, 519, 946, 540, 2780, 543, 4950, 6703, 568, 16832, 269, 4317, 2923, 568, 1851, 519, 3875, 1797, 676, 799, 1004, 2170, 543, 5968, 2228, 563, 9213, 6634, 540, 1004, 616, 1631, 593, 1514, 2923, 971, 607, 9365, 267, 29243, 1952, 267, 12108, 543, 1866, 27300, 5784, 267, 2093, 543, 824, 1644, 6927, 609, 513, 1434, 1297, 540, 873, 1373, 1762, 269, 898, 568, 1996, 713, 4282, 602, 519, 1353, 11567, 519, 3310, 540, 4317, 9012, 593, 14288, 13437, 540, 18520, 3427, 4841, 892, 609, 513, 1808, 1445, 593, 19129, 984, 340, 20497, 18049, 3427, 543, 1955, 320, 4400, 3427, 267, 19129, 984, 340, 269, 634, 1353, 6499, 547, 1265, 856, 519, 6708, 547, 799, 1514, 2923, 814, 1044, 1031, 543, 922, 3310, 593, 1053, 685, 4081, 2773, 563, 272, 269, 274, 20505, 540, 5530, 454, 328, 269, 1677, 917, 519, 2470, 540, 2238, 538, 799, 1053, 4497, 593, 1514, 2923, 563, 4512, 269, 1677, 4983, 952, 1514, 2923, 3310, 1053, 685, 4081, 2773, 563, 272, 269, 275, 3194, 5999, 454, 328, 269, 1548, 2238, 798, 1053, 4497, 538, 593, 1514, 2923, 888, 4512, 269, 1684, 1514, 2923, 3310, 1053, 685, 4081, 2773, 888, 272, 269, 276, 19043, 540, 519, 5530, 454, 293, 1495, 3512, 958, 267, 621, 568, 1898, 649, 1174, 1699, 6165, 543, 7180, 543, 2697, 1761, 2042, 865, 602, 789, 666, 29950, 21039, 269, 901, 666, 581, 2938, 538, 519, 2179, 540, 4081, 2090, 593, 1514, 2923, 1369, 519, 2063, 5722, 1296, 563, 4913, 267, 8355, 1695, 15196, 323, 814, 10356, 513, 4015, 540, 1382, 827, 1514, 13033, 4609, 602, 8638, 5111, 835, 4627, 543, 15823, 1382, 4574, 267, 1614, 2835, 267, 543, 5722, 1382, 5359, 3370, 538, 519, 1296, 476, 1220, 274, 268, 1001, 271, 269, 630, 289, 20477, 267, 476, 1001, 271, 264, 7183, 540, 891, 4574, 6227, 4000, 269, 901, 2982, 513, 3668, 540, 1382, 602, 4145, 519, 3979, 3148, 543, 2523, 13280, 1141, 713, 1106, 540, 2923, 568, 7494, 1031, 563, 11997, 519, 2949, 8404, 585, 10647, 713, 1353, 568, 547, 3565, 547, 1382, 827, 1514, 2923, 538, 13280, 269, 901, 1382, 1058, 849, 1711, 513, 3760, 585, 2417, 1382, 538, 713, 2361, 543, 875, 621, 5540, 1870, 3157, 607, 1134, 824, 21384, 540, 1272, 563, 1607, 1382, 1058, 1683, 3730, 1239, 585, 2344, 3173, 267, 6725, 543, 1587, 1646, 4648, 607, 1134, 607, 7855, 607, 547, 875, 789, 666, 11694, 1514, 2923, 585, 19993, 4324, 538, 741, 1585, 4610, 563, 272, 269, 277, 2480, 2100, 540, 519, 5530, 454, 763, 1353, 8947, 519, 3310, 540, 1514, 2923, 593, 1053, 685, 4081, 2773, 729, 7522, 539, 1524, 547, 19129, 984, 340, 20497, 18049, 3427, 543, 1955, 320, 4400, 3427, 267, 19129, 984, 340, 609, 519, 2070, 547, 2099, 782, 824, 6281, 3506, 2094, 621, 568, 2352, 547, 3914, 782, 1053, 538, 13280, 563, 763, 15295, 3815, 540, 519, 5697, 1153, 538, 2474, 540, 1995, 267, 2069, 4282, 267, 2085, 267, 3023, 552, 269, 512, 269, 524, 1590, 581, 9683, 1354, 519, 3892, 540, 519, 1382, 6293, 563, 272, 269, 278, 7358, 1049, 9502, 540, 16301, 454, 12892, 9012, 281, 589, 1895, 540, 4950, 2861, 3156, 602, 1628, 593, 519, 20748, 543, 6639, 13210, 540, 1357, 476, 273, 269, 271, 543, 602, 1450, 519, 5137, 543, 5385, 540, 3593, 24378, 1543, 563, 10907, 27854, 13437, 281, 901, 568, 519, 2949, 2773, 540, 1053, 538, 741, 2090, 630, 659, 27854, 1362, 1740, 267, 10467, 267, 18362, 3092, 454, 2108, 2562, 14566, 308, 9970, 5508, 14298, 18426, 32212, 8656, 10396, 8028, 4696, 4932, 2975, 25783, 19489, 300, 23814, 5508, 22444, 31631, 14473, 590, 29558, 5357, 22295, 19006, 2108, 454, 7476, 13159, 5741, 7698, 454, 20062, 2969, 9215, 12327, 303, 17614, 281, 630, 6637, 476, 272, 268, 276, 267, 17593, 267, 7305, 540, 12937, 267, 7726, 32666, 543, 22108, 994, 13014, 8569, 540, 476, 6110, 271, 715, 2967, 571, 998, 2475, 16256, 18734, 267, 7813, 16353, 2561, 267, 11083, 300, 18734, 267, 610, 623, 5308, 18734, 547, 912, 28398, 3143, 12727, 476, 23713, 26604, 277, 3066, 279, 454, 11243, 281, 9986, 599, 1074, 320, 26541, 777, 334, 590, 269, 0, 4263, 519, 1439, 540, 519, 476, 866, 628, 2540, 267, 28543, 685, 2551, 3459, 547, 1011, 1712, 267, 543, 609, 519, 2208, 3357, 811, 5533, 543, 2068, 602, 3262, 998, 519, 13897, 10754, 540, 28543, 269, 11531, 267, 5244, 1633, 543, 853, 269, 6754, 779, 10506, 267, 1631, 6806, 267, 723, 8118, 741, 9885, 563, 10214, 609, 891, 1007, 10506, 3257, 741, 1655, 547, 13182, 1983, 267, 519, 2259, 540, 4915, 729, 10169, 771, 23457, 269, 589, 7147, 6481, 5948, 20894, 693, 519, 942, 1336, 476, 4335, 536, 690, 639, 10629, 27121, 538, 1533, 5638, 269, 10871, 10629, 3220, 269, 8176, 17664, 518, 3366, 3646, 547, 1336, 519, 2160, 540, 28543, 6481, 4972, 547, 3044, 1125, 2564, 2069, 543, 948, 4196, 519, 3395, 3148, 563, 3719, 950, 519, 1153, 1101, 8118, 593, 25642, 9335, 25708, 538, 476, 5002, 271, 267, 4466, 513, 9744, 1141, 789, 1223, 1451, 519, 4123, 543, 4019, 741, 1565, 538, 519, 4928, 729, 513, 4161, 269, 5244, 1633, 11233, 729, 1930, 547, 4309, 1053, 267, 855, 972, 729, 1100, 8265, 8364, 3028, 267, 799, 5921, 1053, 1185, 547, 1491, 513, 1279, 530, 6782, 11878, 15504, 676, 1079, 15922, 533, 23888, 269, 853, 269, 6754, 779, 11233, 1843, 539, 547, 22205, 519, 1053, 563, 305, 1601, 518, 1185, 711, 8737, 2679, 519, 2749, 779, 2564, 5989, 543, 3459, 3843, 547, 18609, 519, 4961, 540, 28543, 547, 1628, 513, 1007, 9744, 585, 2550, 543, 1053, 269, 4014, 646, 1705, 711, 4309, 606, 7525, 3210, 267, 646, 12349, 513, 1079, 3613, 800, 267, 476, 1691, 268, 3336, 544, 6416, 538, 513, 9240, 557, 540, 18073, 4054, 593, 9947, 3780, 9335, 538, 5101, 28543, 267, 799, 5949, 547, 581, 519, 1753, 540, 5261, 670, 269, 22050, 517, 267, 606, 11464, 7986, 20752, 543, 2244, 26782, 538, 5101, 28543, 269, 1261, 3957, 519, 476, 1839, 1532, 539, 9744, 519, 6153, 6341, 541, 11939, 11233, 538, 476, 5002, 274, 563, 4263, 519, 942, 267, 606, 5604, 3643, 1942, 835, 13362, 543, 513, 1753, 3643, 1942, 1269, 273, 267, 609, 476, 2004, 21347, 3773, 585, 1169, 13304, 519, 4387, 14612, 3564, 519, 28543, 2749, 7182, 563, 763, 2564, 1153, 11124, 2883, 7965, 543, 2663, 513, 3595, 267, 543, 2199, 3401, 4941, 547, 1683, 6617, 676, 28930, 908, 621, 609, 7345, 3271, 2160, 269, 898, 3576, 942, 547, 18609, 267, 855, 519, 2160, 540, 28543, 6481, 5441, 5555, 2968, 7345, 3271, 2160, 5441, 540, 6925, 563, 3719, 519, 991, 585, 513, 3677, 2564, 9744, 729, 2141, 972, 269, 3689, 23837, 5783, 540, 28543, 2250, 528, 6723, 22427, 9116, 5280, 1291, 513, 2508, 24597, 11036, 585, 513, 1007, 9744, 267, 9870, 1269, 7742, 267, 1822, 547, 1628, 519, 7147, 23837, 17341, 5842, 527, 10740, 269, 17664, 518, 779, 4087, 538, 5101, 28543, 729, 6074, 585, 519, 1007, 6413, 267, 799, 3459, 538, 476, 5002, 275, 269, 898, 1131, 5555, 1683, 476, 14625, 4357, 11623, 543, 476, 7742, 15135, 538, 3670, 1804, 530, 1841, 267, 28428, 1269, 6110, 267, 1822, 547, 1628, 269, 769, 476, 4489, 275, 267, 513, 1614, 3613, 800, 16758, 2679, 729, 9112, 585, 12102, 2550, 267, 607, 5302, 27935, 1416, 729, 513, 1249, 540, 519, 1554, 269, 769, 519, 476, 4572, 271, 338, 267, 519, 6413, 1131, 1294, 476, 736, 267, 1822, 543, 476, 1789, 267, 1822, 2550, 513, 1032, 563, 1103, 476, 4572, 272, 267, 519, 3406, 585, 9322, 1063, 519, 2564, 1153, 267, 519, 6413, 267, 543, 519, 1007, 3506, 540, 26849, 267, 25185, 267, 543, 8808, 2968, 968, 289, 11336, 2987, 5937, 23775, 5608, 543, 519, 6413, 729, 26948, 7345, 3271, 11233, 543, 621, 729, 26948, 7345, 3271, 2160, 11233, 538, 476, 4350, 277, 563, 763, 6413, 4797, 547, 1332, 543, 4228, 267, 4946, 513, 1453, 779, 6413, 538, 519, 476, 4572, 271, 338, 267, 543, 519, 23509, 13957, 532, 1446, 631, 24471, 11233, 729, 3710, 538, 476, 4350, 278, 1985, 547, 7345, 3271, 269, 769, 476, 3707, 274, 7345, 3271, 2160, 5441, 540, 6925, 6410, 689, 28543, 547, 20279, 1310, 606, 2709, 689, 519, 11022, 18722, 7690, 267, 855, 519, 6413, 7283, 563, 1103, 476, 4198, 271, 267, 1776, 7269, 3366, 547, 519, 5722, 3613, 800, 267, 476, 275, 3607, 1532, 539, 6723, 654, 269, 22427, 9116, 17341, 11233, 593, 519, 13464, 540, 7345, 3271, 2160, 11233, 269, 634, 13464, 729, 26948, 7345, 3271, 2160, 6481, 4741, 563, 763, 6413, 4797, 547, 1332, 543, 1039, 6703, 267, 543, 538, 476, 2735, 272, 2968, 513, 3060, 950, 519, 7345, 3271, 2657, 5516, 3590, 3773, 7345, 3271, 6481, 4741, 2037, 23036, 543, 2904, 3271, 6481, 4741, 3400, 701, 341, 710, 563, 763, 1062, 814, 4797, 547, 1020, 936, 519, 1296, 267, 8840, 1524, 519, 7496, 540, 2295, 267, 5761, 543, 5642, 20768, 1098, 17852, 269, 634, 1062, 9450, 883, 10783, 29247, 676, 16565, 2353, 29513, 2657, 3590, 538, 476, 1220, 274, 267, 607, 519, 6413, 9976, 922, 476, 1911, 628, 16683, 563, 1103, 476, 1001, 274, 267, 7345, 3271, 2657, 5516, 3590, 543, 8845, 1299, 6519, 16195, 8678, 4229, 267, 2870, 519, 1034, 27763, 18758, 3782, 1062, 538, 519, 1533, 269, 4653, 267, 519, 1062, 2882, 519, 7345, 3271, 8845, 1299, 6519, 2657, 4643, 267, 519, 7345, 3271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3080, 540, 519, 20286, 594, 1294, 1360, 1419, 538, 1250, 16758, 568, 3461, 6031, 789, 1745, 13888, 610, 789, 666, 1406, 1847, 607, 1454, 538, 513, 1978, 4287, 269, 1717, 585, 1169, 3461, 594, 1294, 602, 5360, 1622, 540, 4743, 11658, 972, 568, 3592, 606, 3160, 1297, 602, 723, 1932, 1454, 3350, 269, 10705, 596, 666, 581, 1360, 13888, 538, 835, 4745, 855, 1287, 519, 824, 4478, 10549, 1847, 1932, 1454, 607, 789, 616, 2324, 9875, 547, 798, 519, 3350, 519, 824, 4745, 3884, 1406, 2111, 547, 3035, 563, 20812, 11279, 984, 1006, 568, 513, 2783, 1141, 596, 666, 1847, 3564, 519, 3339, 2039, 585, 707, 2085, 267, 4008, 543, 14940, 538, 707, 861, 2617, 658, 10549, 269, 3400, 327, 877, 476, 1220, 274, 269, 1411, 666, 6923, 581, 5409, 332, 9394, 3274, 689, 707, 11976, 267, 835, 540, 891, 2175, 568, 4432, 327, 657, 8355, 32221, 855, 596, 666, 849, 1020, 5409, 332, 984, 1006, 998, 2866, 585, 5026, 899, 27590, 10415, 267, 10649, 610, 15472, 269, 898, 711, 8209, 513, 3983, 3364, 855, 538, 930, 1004, 621, 666, 2014, 811, 2800, 982, 1434, 543, 596, 786, 991, 547, 960, 2509, 14304, 707, 6091, 547, 948, 11689, 1047, 707, 10549, 602, 723, 2799, 3350, 563, 8005, 1281, 621, 1860, 888, 20812, 11279, 984, 1006, 568, 811, 1455, 538, 912, 268, 3979, 610, 7489, 13956, 550, 563, 268, 5753, 1034, 15151, 476, 1724, 268, 866, 1296, 454, 268, 7843, 1602, 3320, 538, 6379, 454, 268, 11846, 1141, 596, 1616, 2799, 3350, 476, 280, 323, 3496, 267, 27590, 10415, 267, 17869, 18490, 267, 10649, 994, 268, 7731, 1686, 540, 811, 8112, 454, 10144, 602, 723, 5409, 332, 984, 1006, 6794, 1419, 723, 513, 1966, 609, 519, 2281, 602, 1118, 909, 741, 1921, 8031, 585, 1383, 741, 28844, 543, 28587, 267, 799, 616, 811, 771, 6716, 2213, 543, 561, 1314, 3379, 547, 519, 2489, 2551, 269, 769, 4049, 2665, 713, 3085, 1406, 1175, 1860, 519, 10549, 855, 1169, 851, 540, 519, 1560, 1519, 519, 8937, 267, 2960, 543, 1973, 8043, 269, 630, 6826, 697, 517, 1696, 620, 1421, 476, 2735, 280, 323, 454, 1432, 616, 519, 2589, 888, 9617, 1317, 596, 6148, 811, 8465, 982, 1034, 1004, 3085, 1406, 1611, 596, 786, 723, 1022, 2042, 540, 1928, 269, 634, 2589, 616, 1360, 5318, 609, 930, 1373, 28105, 547, 1866, 723, 16094, 27676, 2042, 269, 1411, 786, 7363, 5469, 621, 538, 6689, 543, 707, 2038, 2937, 1272, 596, 2461, 811, 2693, 547, 838, 1778, 707, 21721, 811, 982, 1034, 1004, 585, 1383, 269, 1411, 786, 7363, 5469, 519, 2589, 610, 1205, 3614, 584, 1221, 1310, 513, 8194, 971, 607, 513, 838, 1778, 21721, 610, 1282, 6379, 270, 18876, 4332, 563, 2080, 568, 513, 1592, 540, 930, 540, 519, 2589, 912, 268, 28214, 13888, 630, 16838, 952, 596, 666, 1869, 1847, 811, 982, 1034, 994, 268, 1546, 576, 1078, 4745, 4656, 630, 743, 4548, 1465, 994, 268, 8437, 532, 270, 743, 6064, 532, 270, 1402, 4771, 454, 268, 4427, 12999, 725, 270, 20247, 23148, 454, 268, 667, 20063, 267, 1970, 1973, 2604, 454, 268, 21561, 20015, 2358, 454, 268, 2961, 335, 601, 15993, 454, 268, 1411, 616, 811, 2693, 547, 723, 6366, 3952, 267, 513, 8273, 2539, 1394, 7455, 267, 610, 513, 19514, 10652, 6665, 607, 1134, 607, 835, 1850, 3476, 982, 519, 824, 630, 339, 12330, 782, 666, 581, 1360, 5634, 7422, 994, 1692, 666, 594, 2995, 952, 594, 993, 1175, 8465, 610, 952, 594, 2965, 723, 5409, 332, 984, 1006, 888, 2467, 616, 1896, 2081, 596, 666, 2995, 952, 596, 616, 2965, 24802, 5409, 332, 9394, 2864, 982, 1175, 8465, 891, 1331, 513, 2241, 6514, 543, 513, 18102, 563, 263, 295, 752, 574, 543, 3400, 327, 877, 476, 1220, 274, 264, 7726, 32666, 912, 268, 2052, 596, 1631, 610, 5892, 1044, 2111, 547, 1747, 707, 3946, 6366, 593, 519, 6989, 1510, 19755, 707, 19704, 888, 268, 2052, 596, 1631, 610, 1256, 1044, 2111, 18846, 707, 14853, 547, 5905, 707, 2062, 1301, 888, 268, 1306, 513, 1126, 267, 1705, 596, 27873, 707, 2828, 676, 733, 15659, 707, 1560, 883, 9490, 5546, 610, 1223, 596, 798, 519, 10943, 1080, 888, 268, 1306, 513, 1126, 610, 21717, 267, 1705, 707, 9054, 1815, 777, 610, 13105, 20247, 11229, 593, 811, 982, 835, 8317, 888, 268, 1684, 596, 2015, 3054, 2048, 8072, 29602, 18191, 31212, 685, 685, 888, 2252, 596, 1767, 9811, 547, 476, 273, 610, 811, 540, 519, 2055, 1287, 596, 949, 581, 5409, 332, 9394, 519, 18102, 568, 476, 5952, 260, 6213, 543, 476, 3445, 260, 1808, 563, 763, 581, 697, 517, 4336, 568, 519, 1655, 1259, 547, 1449, 952, 596, 616, 2965, 5409, 332, 9394, 543, 621, 786, 849, 1397, 875, 1454, 596, 616, 5409, 332, 9394, 269, 898, 568, 513, 476, 280, 15304, 4336, 543, 596, 1205, 513, 1448, 585, 1142, 4745, 602, 568, 1360, 5985, 563, 6826, 697, 517, 7355, 543, 581, 580, 2023, 6060, 281, 630, 294, 19207, 877, 1696, 620, 1421, 476, 1220, 271, 994, 2414, 581, 5409, 332, 9394, 596, 991, 547, 723, 513, 6060, 540, 2362, 982, 476, 275, 269, 1717, 952, 596, 616, 4587, 982, 476, 2004, 1287, 596, 666, 581, 5409, 332, 9394, 609, 513, 2539, 6060, 540, 476, 273, 610, 476, 274, 563, 347, 28012, 9416, 630, 3847, 10534, 289, 754, 621, 1394, 547, 476, 3445, 5232, 1341, 1475, 272, 2008, 347, 28012, 9416, 630, 2431, 10534, 289, 754, 621, 1394, 547, 476, 3445, 5232, 1341, 1475, 272, 2008, 347, 1320, 3518, 630, 3847, 10534, 289, 754, 621, 585, 2072, 547, 5905, 707, 2062, 1301, 1475, 272, 2008, 347, 1320, 3518, 630, 2431, 10534, 289, 754, 621, 585, 2072, 547, 5905, 707, 2062, 1301, 1475, 272, 2008, 347, 14976, 11312, 630, 3847, 10534, 289, 754, 621, 1394, 476, 1015, 5232, 610, 811, 2250, 1373, 2786, 1475, 272, 2008, 347, 14976, 11312, 630, 2431, 10534, 289, 754, 621, 1394, 476, 1015, 5232, 610, 811, 2250, 1373, 2786, 1475, 272, 2008, 347, 298, 26234, 630, 3847, 10534, 289, 754, 621, 1394, 476, 1015, 5232, 610, 811, 2250, 1373, 2786, 1475, 272, 2008, 347, 298, 26234, 630, 2431, 10534, 289, 754, 621, 1394, 476, 1015, 5232, 610, 811, 2250, 1373, 2786, 1475, 272, 2008, 347, 8967, 710, 1475, 4692, 5905, 707, 19462, 543, 2322, 707, 3946, 593, 519, 6989, 1475, 272, 2008, 763, 10368, 7355, 568, 519, 1739, 912, 2414, 581, 5409, 2173, 9394, 596, 991, 547, 723, 2901, 1312, 519, 1292, 2798, 610, 476, 272, 1292, 1448, 543, 476, 273, 5634, 2798, 269, 1717, 952, 596, 723, 513, 5868, 540, 661, 327, 6840, 5937, 534, 32221, 610, 3057, 325, 753, 1287, 596, 1810, 1406, 530, 2632, 3274, 723, 5409, 332, 984, 1006, 6794, 607, 596, 786, 723, 513, 1808, 5409, 332, 984, 1006, 2783, 563, 268, 589, 2142, 697, 517, 6060, 540, 476, 275, 270, 280, 610, 3152, 630, 32355, 4867, 610, 13840, 994, 268, 17434, 1928, 585, 693, 2547, 476, 274, 3275, 538, 2185, 610, 811, 10549, 563, 268, 589, 2142, 697, 517, 6060, 540, 476, 275, 1341, 630, 273, 270, 274, 952, 9907, 476, 2004, 266, 1916, 268, 17434, 1928, 630, 1721, 476, 274, 3275, 610, 3476, 264, 538, 835, 547, 476, 274, 10549, 610, 1394, 1928, 1519, 513, 5868, 540, 1488, 9374, 540, 519, 2539, 1394, 610, 1167, 531, 2042, 454, 268, 2598, 331, 6327, 4882, 889, 12999, 566, 281, 476, 272, 1341, 10549, 267, 610, 16625, 20247, 23148, 538, 835, 4745, 563, 268, 769, 25691, 540, 707, 9941, 8031, 2175, 538, 811, 982, 476, 274, 10549, 971, 607, 281, 25688, 4345, 267, 861, 2617, 4345, 543, 536, 2720, 4345, 563, 268, 23369, 540, 3057, 325, 753, 454, 268, 2806, 7538, 2960, 2042, 281, 12701, 7436, 267, 12701, 344, 2960, 267, 6094, 2960, 267, 13099, 344, 15869, 748, 1085, 18732, 563, 268, 16685, 2042, 1519, 281, 5323, 14563, 22442, 1749, 267, 2110, 8289, 539, 610, 1524, 2072, 1793, 656, 540, 519, 3750, 454, 268, 24430, 545, 846, 15532, 267, 1200, 333, 5362, 610, 7139, 8985, 1519, 29897, 610, 6439, 531, 563, 1692, 666, 596, 4383, 5409, 332, 984, 1006, 888, 2005, 568, 2009, 547, 4383, 5409, 332, 984, 1006, 998, 621, 786, 581, 513, 31934, 543, 1279, 2165, 607, 621, 786, 2141, 581, 1945, 602, 596, 786, 991, 547, 1491, 883, 2272, 269, 1306, 594, 723, 1767, 1354, 972, 616, 7372, 7648, 547, 519, 10335, 540, 519, 2783, 269, 898, 949, 1175, 1611, 602, 596, 991, 547, 798, 811, 14304, 538, 1978, 6091, 538, 1931, 547, 798, 1978, 5026, 610, 2238, 538, 1931, 547, 2061, 5945, 610, 798, 873, 547, 513, 2362, 610, 585, 3476, 9883, 270, 5503, 269, 5381, 547, 782, 1279, 2165, 1072, 2175, 610, 12755, 621, 666, 581, 513, 3500, 1184, 543, 972, 786, 2141, 581, 5712, 540, 1121, 2153, 543, 1166, 1515, 22705, 269, 898, 568, 5227, 547, 723, 513, 3804, 11399, 1304, 730, 543, 967, 643, 783, 1935, 547, 11222, 543, 2359, 269, 1548, 568, 519, 3364, 602, 596, 6560, 609, 519, 1034, 286, 4495, 596, 917, 1018, 596, 1616, 547, 960, 2509, 596, 666, 1376, 547, 960, 856, 513, 2359, 1544, 563, 2005, 568, 1419, 513, 3818, 1922, 14239, 1935, 1210, 1082, 1114, 4485, 1519, 267, 18552, 267, 13994, 1637, 267, 24590, 610, 7148, 532, 267, 22591, 267, 681, 21201, 267, 3635, 543, 20834, 5314, 538, 3617, 2665, 563, 2791, 666, 946, 1114, 7028, 543, 7148, 532, 538, 1931, 547, 948, 11689, 1047, 519, 4745, 543, 556, 268, 14445, 622, 543, 7794, 519, 6091, 1472, 621, 2523, 952, 789, 616, 2022, 1116, 6091, 585, 1383, 538, 707, 1394, 269, 10705, 596, 666, 960, 609, 707, 8261, 13309, 547, 9607, 2238, 602, 596, 1265, 4101, 610, 596, 798, 513, 2603, 543, 3274, 4188, 519, 1259, 596, 798, 873, 538, 1931, 547, 1205, 3035, 873, 538, 513, 1928, 1863, 1259, 269, 1280, 1383, 621, 949, 581, 11213, 547, 12740, 513, 9126, 855, 952, 596, 3082, 519, 1259, 596, 17945, 519, 9126, 547, 12740, 621, 267, 519, 4305, 1223, 581, 1454, 811, 19242, 607, 513, 1267, 269, 898, 849, 1522, 581, 5363, 547, 3274, 1689, 707, 960, 1305, 909, 952, 596, 960, 693, 513, 11380, 1759, 2816, 610, 1353, 513, 2603, 563, 2005, 568, 1360, 1271, 547, 1445, 593, 1434, 4295, 6617, 267, 16625, 5322, 543, 14302, 3622, 607, 891, 6091, 616, 811, 2693, 547, 581, 936, 4310, 607, 513, 1267, 269, 589, 2635, 6197, 609, 2834, 3635, 538, 930, 1106, 568, 1271, 538, 1931, 547, 4383, 519, 2783, 538, 1931, 547, 948, 707, 7794, 707, 4887, 547, 1489, 519, 10549, 563, 10048, 783, 3797, 1519, 11560, 14527, 543, 1610, 23956, 666, 581, 1031, 547, 5305, 16757, 8082, 543, 2333, 10688, 538, 11658, 10549, 538, 1931, 547, 11177, 3339, 27354, 2559, 923, 547, 519, 1858, 269, 898, 568, 1360, 1455, 538, 1004, 609, 5409, 332, 984, 1006, 547, 723, 1360, 9395, 6091, 607, 519, 6091, 786, 723, 547, 960, 1454, 9875, 547, 2333, 519, 6617, 540, 519, 4745, 543, 1419, 1205, 936, 4310, 607, 513, 1267, 269, 898, 1360, 1455, 585, 519, 2022, 1116, 6091, 538, 707, 12636, 547, 1205, 1360, 9395, 607, 596, 7683, 13461, 593, 873, 585, 3666, 543, 1489, 563, 27039, 593, 875, 4049, 519, 5409, 332, 984, 1006, 568, 282, 621, 786, 4096, 593, 875, 1279, 713, 3942, 16569, 269, 898, 568, 4105, 602, 713, 24536, 568, 2322, 883, 1747, 547, 2285, 596, 519, 4493, 547, 1847, 883, 811, 588, 1066, 6681, 5751, 269, 898, 568, 5227, 547, 1376, 596, 1058, 960, 2509, 5355, 707, 16885, 334, 4003, 865, 1141, 596, 1589, 596, 10549, 616, 538, 2230, 269, 1403, 596, 616, 5409, 332, 9394, 621, 568, 811, 982, 2693, 596, 786, 20247, 11229, 610, 1205, 7063, 689, 16625, 8194, 865, 22113, 519, 2179, 540, 2053, 596, 838, 1778, 596, 21721, 585, 1383, 568, 2469, 547, 581, 4105, 547, 5883, 707, 2589, 563, 2791, 849, 1616, 547, 1376, 547, 798, 1970, 1764, 2238, 865, 5751, 609, 18230, 11084, 547, 948, 609, 707, 3666, 543, 4295, 4222, 616, 5227, 607, 1134, 607, 8652, 1492, 2805, 610, 10977, 269, 2353, 891, 5751, 1058, 581, 1928, 1863, 543, 513, 1259, 547, 7444, 1628, 909, 930, 4222, 538, 513, 2922, 543, 8716, 1259, 563, 22134, 549, 1492, 2805, 610, 10977, 568, 513, 1390, 1259, 547, 1628, 909, 707, 7794, 543, 8516, 538, 513, 2922, 1259, 269, 11088, 621, 568, 4105, 547, 20688, 621, 547, 1018, 596, 6560, 609, 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 ]
[ 3445, 24266, 3002, 2094, 476, 2735, 276, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 798, 519, 15434, 24329, 1628, 1247, 16176, 2006, 568, 2476, 593, 519, 7623, 888, 273, 269, 769, 519, 5326, 602, 16176, 2006, 814, 538, 519, 2679, 267, 875, 2025, 568, 646, 888, 274, 269, 1548, 1281, 744, 787, 343, 4001, 519, 15434, 24329, 827, 888, 275, 269, 1548, 1281, 16176, 2006, 1544, 547, 2995, 519, 15434, 24329, 3823, 1018, 646, 4718, 602, 568, 513, 5048, 689, 15434, 651, 888, 276, 269, 1215, 1281, 15434, 651, 781, 4651, 5884, 888, 14112, 4828, 5999, 454, 272, 269, 1548, 568, 744, 787, 343, 781, 1909, 538, 13343, 3240, 781, 3347, 888, 273, 269, 4208, 1281, 16176, 2006, 1491, 538, 519, 15434, 24329, 543, 1291, 873, 547, 3106, 888, 274, 269, 1548, 568, 1713, 827, 519, 4408, 540, 519, 1004, 945, 960, 693, 21537, 823, 888, 275, 269, 14674, 519, 4365, 269, 4208, 1281, 621, 1689, 899, 713, 888, 276, 269, 4208, 568, 621, 1713, 602, 16176, 2006, 12034, 8673, 538, 519, 3845, 888, 277, 269, 1548, 568, 519, 4644, 540, 519, 4063, 602, 13343, 3240, 2451, 3297, 888, 278, 269, 4208, 568, 519, 2012, 540, 519, 26434, 630, 13640, 611, 823, 264, 1713, 888, 279, 269, 1548, 616, 519, 2101, 3604, 1063, 16176, 2006, 543, 519, 15434, 24329, 888, 280, 269, 1548, 568, 519, 4644, 540, 2549, 7701, 781, 1788, 888, 1015, 269, 1215, 568, 744, 787, 343, 7429, 519, 2021, 602, 13343, 3240, 10742, 538, 2852, 888, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 3674, 744, 787, 343, 513, 533, 11921, 538, 519, 3209, 286, 4208, 610, 1946, 711, 286, 1684, 596, 1589, 602, 20152, 2311, 6229, 568, 3843, 547, 6494, 513, 5048, 547, 519, 5467, 676, 3257, 713, 888, 13625, 13445, 476, 273, 454, 27855, 519, 1259, 9909, 616, 513, 14953, 538, 519, 3209, 269, 4208, 616, 9909, 865, 1271, 267, 543, 875, 568, 713, 3254, 888, 13625, 13445, 476, 274, 454, 1692, 568, 20451, 1459, 538, 519, 3209, 286, 1548, 1909, 1281, 20451, 1404, 538, 519, 1650, 286, 1548, 2963, 540, 713, 568, 972, 888, 1607, 3296, 3568, 476, 278, 2764, 1913, 454, 26140, 269, 476, 274, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 306, 7776, 6754, 334, 267, 4989, 476, 1708, 273, 1107, 10281, 13427, 5338, 568, 17216, 519, 1655, 4781, 585, 8720, 11953, 11934, 998, 519, 946, 540, 3728, 21212, 2030, 2249, 269, 901, 568, 1317, 519, 2029, 1031, 267, 3079, 540, 11093, 6371, 10824, 593, 19527, 610, 1568, 267, 834, 335, 5593, 257, 519, 3037, 998, 513, 1025, 8463, 543, 11544, 3937, 563, 1432, 814, 3989, 8652, 572, 5338, 607, 519, 968, 323, 541, 1782, 892, 540, 29436, 543, 4155, 267, 4683, 267, 16749, 543, 5599, 5989, 3549, 568, 10502, 1317, 621, 814, 513, 5488, 543, 811, 4052, 3498, 538, 519, 1568, 267, 14874, 519, 4220, 540, 3037, 11761, 267, 538, 1840, 547, 8720, 519, 10664, 269, 540, 1568, 547, 2270, 19527, 543, 2352, 14099, 563, 2005, 568, 6059, 602, 1142, 4062, 540, 3937, 666, 2030, 909, 547, 476, 1789, 267, 1822, 544, 273, 540, 10664, 829, 1554, 267, 8506, 1447, 982, 476, 3393, 2395, 585, 1876, 985, 267, 585, 1137, 610, 19527, 547, 581, 4988, 676, 2178, 10664, 563, 1607, 3325, 1326, 566, 2203, 5161, 540, 519, 3498, 540, 513, 3575, 540, 5697, 5452, 540, 10786, 17675, 2249, 609, 8561, 593, 21823, 267, 22053, 267, 3114, 18168, 267, 5214, 18168, 267, 3574, 6775, 22890, 543, 23287, 22169, 563, 6097, 547, 19839, 334, 20242, 534, 23042, 267, 16628, 540, 717, 14442, 334, 966, 294, 1107, 8066, 5787, 1807, 540, 6067, 550, 3663, 338, 267, 2808, 607, 835, 540, 519, 4102, 10512, 8652, 572, 5338, 2516, 538, 519, 2197, 910, 267, 676, 7006, 14819, 609, 3037, 7041, 610, 3498, 540, 29198, 267, 519, 1184, 8309, 2047, 547, 519, 1604, 1547, 968, 4415, 519, 6662, 540, 4227, 2910, 273, 5434, 609, 26708, 543, 771, 2897, 906, 267, 649, 4163, 856, 10995, 17825, 267, 676, 9544, 5452, 538, 6775, 22890, 3079, 540, 1793, 11274, 540, 6371, 610, 19155, 269, 6271, 4264, 851, 568, 602, 519, 19155, 798, 711, 991, 6704, 1216, 267, 607, 789, 616, 12630, 538, 519, 24925, 4005, 5608, 646, 6941, 563, 295, 573, 549, 9895, 1737, 3120, 966, 294, 814, 8179, 547, 3082, 547, 519, 2115, 540, 922, 5561, 538, 1114, 4525, 540, 519, 2197, 269, 4014, 621, 3091, 1896, 3498, 3435, 267, 972, 616, 1079, 2010, 602, 616, 1034, 8179, 1310, 676, 4155, 267, 4683, 267, 7841, 543, 5599, 5989, 3549, 563, 293, 3271, 531, 10664, 568, 851, 540, 519, 20344, 543, 3666, 540, 1169, 5117, 269, 1656, 519, 1646, 540, 1098, 2102, 923, 538, 1164, 8397, 6683, 18965, 519, 2208, 540, 1395, 665, 30743, 267, 607, 538, 519, 2013, 540, 8970, 543, 29704, 2504, 269, 634, 1641, 568, 11786, 1317, 621, 12662, 25199, 693, 1981, 1107, 543, 10502, 1317, 540, 713, 621, 814, 1044, 23503, 563, 3080, 3070, 1336, 547, 4194, 519, 4161, 568, 519, 1646, 540, 968, 335, 18543, 8492, 5608, 9544, 10664, 609, 15496, 1472, 9897, 543, 3859, 1648, 11396, 267, 585, 1383, 267, 799, 4324, 519, 968, 16567, 892, 543, 11091, 540, 25199, 281, 2356, 7786, 971, 607, 10987, 269, 2073, 13733, 267, 17984, 267, 29700, 267, 729, 1186, 267, 22404, 543, 17605, 267, 4909, 7919, 585, 519, 2104, 540, 519, 1985, 5481, 563, 3080, 540, 519, 1034, 1271, 1114, 10118, 540, 8652, 572, 5338, 568, 3106, 676, 4227, 519, 2557, 540, 960, 10913, 693, 519, 4070, 3135, 267, 1310, 782, 267, 621, 23352, 2324, 693, 15627, 543, 6971, 519, 4598, 540, 5520, 538, 1981, 2127, 971, 607, 9897, 1938, 610, 4025, 1141, 3618, 4103, 2049, 563, 2005, 568, 4502, 4304, 602, 713, 6175, 538, 4648, 538, 1327, 334, 7064, 547, 8652, 572, 5338, 267, 621, 31758, 519, 4161, 540, 7329, 548, 4648, 267, 2094, 267, 538, 8723, 3871, 267, 8030, 538, 519, 2361, 2611, 693, 519, 1568, 7996, 543, 4470, 593, 1237, 10094, 689, 519, 960, 3106, 1858, 563, 10666, 519, 966, 294, 6828, 1107, 898, 568, 519, 8066, 2754, 3743, 585, 5883, 543, 23960, 519, 6067, 550, 3663, 338, 26432, 12567, 267, 21450, 267, 717, 5174, 305, 3198, 9169, 267, 20242, 534, 23042, 543, 670, 573, 13427, 5338, 966, 294, 269, 2060, 811, 982, 476, 275, 267, 4335, 3785, 13401, 538, 2407, 3028, 30120, 267, 621, 814, 8371, 538, 3162, 3013, 267, 3345, 3013, 543, 2342, 269, 4706, 12191, 568, 547, 2709, 2407, 3028, 3435, 538, 30120, 267, 6940, 543, 519, 1604, 267, 609, 513, 23499, 1788, 2319, 4646, 676, 16413, 267, 8030, 267, 27563, 267, 3338, 322, 3639, 267, 989, 1258, 558, 1235, 267, 7718, 2209, 267, 3868, 2209, 267, 1857, 1235, 267, 1851, 1866, 269, 898, 568, 519, 1152, 2754, 609, 606, 3742, 5117, 547, 19597, 622, 519, 30120, 5823, 538, 8478, 563, 13126, 281, 2107, 1729, 1290, 684, 3821, 23843, 0, 28723, 8212, 5149, 476, 277, 8018, 476, 274, 17086, 538, 606, 1620, 9793, 666, 581, 1031, 547, 2638, 10453, 15421, 543, 1702, 676, 16460, 2055, 269, 4595, 538, 519, 9906, 8018, 827, 476, 3445, 260, 540, 519, 4930, 540, 519, 3003, 3391, 616, 2152, 267, 8449, 2789, 5542, 543, 3070, 2055, 799, 616, 711, 2139, 269, 2755, 519, 1964, 568, 1500, 909, 540, 2656, 7650, 540, 519, 13395, 2339, 269, 4635, 4976, 267, 7855, 1100, 811, 991, 547, 8373, 547, 1205, 2152, 610, 2055, 269, 2060, 519, 2046, 519, 14357, 568, 1175, 2877, 547, 3077, 593, 4758, 513, 19993, 8223, 540, 519, 9138, 1641, 269, 1280, 519, 6268, 543, 1449, 540, 4974, 4093, 267, 519, 14357, 1175, 2115, 547, 2671, 609, 543, 1463, 519, 2152, 5892, 2139, 538, 519, 4976, 269, 4595, 1175, 827, 519, 4976, 1568, 607, 5363, 1344, 585, 10453, 538, 8876, 856, 1565, 4247, 8449, 10446, 543, 538, 2516, 563, 763, 7186, 540, 11628, 8212, 5149, 476, 277, 8018, 476, 274, 17086, 538, 24356, 454, 28723, 8212, 5149, 476, 277, 8018, 476, 274, 17086, 607, 513, 12045, 540, 2462, 2093, 3070, 2055, 269, 16792, 6096, 5267, 14123, 1053, 547, 581, 2111, 547, 3070, 2055, 827, 3584, 789, 723, 4121, 269, 2060, 519, 8018, 267, 1053, 949, 8275, 519, 1888, 1641, 782, 1927, 811, 3362, 269, 4595, 16460, 519, 2055, 538, 519, 8018, 568, 4010, 899, 15388, 513, 2339, 936, 543, 936, 1586, 267, 540, 1576, 10453, 666, 8275, 7184, 269, 10435, 6096, 606, 6293, 540, 2866, 543, 4974, 3527, 568, 513, 4829, 995, 4640, 585, 2069, 10453, 8823, 538, 1620, 1888, 2339, 269, 4595, 950, 9001, 6096, 267, 1053, 616, 5059, 593, 16460, 519, 2055, 602, 616, 27057, 2139, 269, 16792, 6096, 814, 1044, 3964, 547, 3391, 16159, 1565, 9740, 563, 28723, 8212, 5149, 476, 277, 8018, 476, 274, 17086, 616, 513, 2186, 540, 2069, 5351, 269, 769, 2489, 519, 8018, 568, 513, 1565, 1907, 607, 513, 6474, 610, 5310, 513, 1797, 540, 5885, 519, 6388, 540, 519, 1565, 4643, 269, 9906, 3211, 538, 519, 3337, 540, 9212, 540, 1957, 538, 519, 1106, 540, 1239, 543, 2055, 630, 638, 5465, 264, 602, 1590, 9090, 581, 12943, 676, 1053, 269, 2334, 11628, 8212, 5149, 476, 277, 8018, 476, 274, 17086, 568, 1360, 1134, 4294, 547, 8300, 519, 6278, 540, 10453, 538, 1565, 1312, 8246, 538, 519, 3498, 1106, 540, 15695, 2409, 543, 547, 2709, 1646, 2866, 269, 769, 519, 1184, 540, 4974, 267, 6096, 3804, 547, 1265, 2035, 543, 3301, 540, 2035, 563, 2005, 2114, 547, 6333, 1879, 21277, 1424, 11628, 8212, 5149, 476, 277, 8018, 476, 274, 17086, 454, 28723, 8212, 5149, 476, 277, 8018, 476, 274, 17086, 6157, 616, 513, 17003, 610, 14357, 5583, 538, 4974, 602, 3580, 581, 3254, 538, 13629, 538, 1931, 602, 538, 13629, 621, 1590, 2628, 3007, 547, 519, 2175, 540, 3308, 2046, 607, 3308, 2046, 547, 1303, 823, 519, 1719, 540, 1053, 269, 2311, 2547, 519, 8018, 607, 513, 2046, 3556, 269, 1733, 12241, 519, 9115, 540, 519, 5048, 540, 519, 8018, 1058, 1445, 593, 519, 2609, 540, 13629, 3308, 2923, 267, 519, 15796, 540, 519, 6219, 543, 519, 5542, 540, 2152, 607, 606, 3608, 543, 3608, 17003, 269, 3414, 519, 8018, 519, 4116, 12134, 10453, 547, 2626, 519, 2152, 799, 723, 1044, 3015, 1310, 9870, 1808, 3390, 2339, 269, 5637, 27352, 543, 538, 2516, 563, 3519, 1061, 1302, 267, 11628, 8212, 5149, 476, 277, 8018, 476, 274, 17086, 616, 513, 1565, 9793, 585, 2069, 1053, 4859, 593, 5049, 4362, 538, 519, 4928, 269, 6096, 666, 581, 2808, 607, 519, 3498, 1106, 540, 519, 2243, 4871, 6240, 547, 4001, 16159, 4987, 269, 5015, 267, 6096, 666, 849, 581, 4294, 547, 9794, 13350, 1565, 4093, 4171, 2990, 568, 13016, 269, 30451, 949, 946, 6096, 547, 1265, 856, 2875, 23440, 609, 519, 1888, 1641, 602, 779, 1044, 11643, 563, 19119, 540, 11628, 8212, 5149, 476, 277, 8018, 476, 274, 17086, 538, 24356, 454, 28723, 8212, 5149, 476, 277, 8018, 476, 274, 17086, 666, 581, 8246, 607, 1582, 14482, 2286, 267, 18997, 1053, 547, 581, 5094, 267, 6899, 267, 5676, 1441, 267, 543, 3743, 543, 949, 1118, 3664, 269, 12409, 6096, 538, 2866, 543, 1565, 3527, 949, 581, 8246, 693, 519, 1448, 540, 10206, 9544, 630, 935, 3272, 532, 1007, 2035, 264, 610, 693, 519, 1448, 540, 1702, 2093, 630, 1492, 4359, 1974, 540, 10206, 9544, 1040, 13139, 1436, 540, 3211, 538, 519, 2856, 1620, 3942, 10522, 602, 6096, 616, 1031, 547, 1353, 513, 1888, 609, 519, 3804, 540, 29947, 519, 1344, 540, 2152, 602, 723, 1044, 7691, 538, 519, 4505, 1974, 267, 3226, 1523, 9544, 269, 0, 1103, 11186, 9511, 267, 519, 18160, 21723, 630, 24887, 1310, 15751, 18160, 282, 849, 1634, 607, 519, 10250, 3146, 951, 539, 26548, 857, 21723, 264, 568, 1031, 547, 2769, 519, 22441, 540, 513, 29660, 7304, 22044, 2335, 1014, 32032, 269, 769, 2489, 25536, 267, 621, 4386, 538, 519, 18160, 2361, 4834, 585, 28040, 2787, 602, 4766, 838, 659, 8135, 22441, 538, 513, 6073, 602, 568, 5812, 609, 5726, 540, 1648, 543, 11610, 563, 763, 18160, 21723, 568, 513, 21723, 540, 1931, 476, 273, 3989, 936, 29660, 7304, 22044, 2335, 1014, 7030, 9529, 269, 769, 4994, 6954, 10035, 621, 568, 3989, 607, 454, 3602, 568, 519, 26548, 857, 21723, 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 ]
[ 607, 1134, 269, 2060, 1142, 4693, 267, 3237, 1451, 1007, 1919, 689, 741, 3105, 2833, 269, 898, 779, 1271, 585, 3237, 547, 1174, 602, 3079, 540, 3257, 1582, 15918, 877, 267, 621, 779, 1732, 547, 960, 593, 1373, 1732, 1554, 676, 1554, 543, 31799, 2933, 950, 621, 568, 2838, 563, 21574, 13205, 547, 513, 2385, 779, 2648, 912, 272, 264, 21673, 532, 707, 1126, 547, 581, 519, 1655, 1851, 1866, 912, 2005, 779, 1360, 1455, 547, 1294, 602, 538, 713, 5108, 267, 3237, 1419, 1166, 13550, 741, 1126, 267, 899, 7487, 875, 1134, 789, 666, 1451, 267, 3717, 267, 7544, 267, 610, 957, 269, 1879, 3214, 3111, 547, 798, 865, 267, 3237, 1745, 3983, 267, 543, 3006, 789, 1256, 1085, 1245, 519, 1126, 269, 1809, 1018, 789, 7340, 568, 602, 3214, 723, 2189, 9163, 543, 1983, 269, 1358, 666, 798, 1018, 789, 2972, 630, 2452, 1070, 855, 789, 786, 711, 798, 1018, 741, 3237, 2972, 269, 1924, 8164, 4896, 2501, 547, 3643, 873, 267, 1577, 873, 581, 6899, 609, 873, 1101, 865, 602, 789, 666, 13789, 607, 789, 616, 538, 2489, 563, 9827, 3367, 281, 8891, 543, 922, 16723, 28620, 593, 14268, 454, 273, 264, 18320, 1454, 5539, 912, 2691, 3237, 723, 1932, 1082, 2168, 267, 2883, 267, 543, 3929, 9021, 267, 741, 6125, 609, 3214, 4991, 4299, 1317, 540, 621, 269, 1306, 789, 616, 896, 2604, 547, 1685, 4247, 267, 789, 723, 1447, 942, 547, 6108, 2298, 942, 609, 741, 3214, 269, 4634, 3214, 666, 1745, 621, 269, 1358, 6159, 557, 741, 3237, 2648, 267, 607, 621, 2306, 873, 1745, 1434, 269, 1280, 873, 267, 741, 3237, 616, 741, 1158, 267, 543, 1317, 741, 1158, 568, 936, 321, 6324, 2989, 267, 789, 1745, 20495, 563, 274, 264, 19768, 540, 21940, 2456, 912, 30144, 6302, 616, 2731, 1271, 538, 1022, 2078, 269, 1403, 3237, 798, 782, 519, 960, 593, 15773, 540, 741, 3214, 267, 789, 1831, 8200, 593, 873, 269, 898, 779, 2731, 1271, 585, 3237, 547, 948, 741, 1453, 1451, 1919, 538, 741, 1378, 1259, 269, 1879, 789, 1451, 547, 3548, 593, 741, 1378, 267, 789, 786, 1711, 513, 3190, 267, 855, 713, 568, 875, 789, 786, 3548, 269, 3807, 581, 609, 873, 543, 1294, 602, 789, 1705, 711, 1205, 10413, 538, 1022, 1259, 538, 713, 1184, 269, 26431, 267, 789, 786, 1020, 519, 4356, 540, 4189, 593, 741, 1378, 563, 275, 264, 2598, 680, 5217, 2942, 4664, 593, 873, 912, 2026, 3425, 1995, 2942, 4664, 1169, 1554, 543, 723, 7864, 8458, 540, 8756, 1944, 873, 267, 621, 4523, 602, 3237, 771, 2897, 1346, 4664, 593, 741, 3214, 950, 789, 3111, 547, 798, 519, 4397, 2623, 269, 24269, 519, 1126, 568, 3478, 29041, 610, 1085, 1245, 539, 267, 789, 1590, 917, 519, 3169, 2601, 1946, 789, 3893, 27052, 269, 901, 568, 875, 789, 786, 1451, 1018, 547, 798, 543, 1810, 1406, 798, 538, 1272, 269, 1879, 972, 568, 4986, 2312, 827, 1946, 789, 941, 27052, 267, 789, 786, 10956, 519, 9073, 269, 1403, 267, 607, 3237, 267, 4896, 568, 4743, 4904, 609, 1164, 2942, 4664, 267, 621, 779, 1732, 547, 1491, 513, 476, 276, 18826, 2736, 543, 1287, 2911, 547, 519, 3214, 269, 901, 2736, 786, 3500, 1524, 519, 12761, 563, 288, 2388, 602, 7520, 3237, 685, 2648, 912, 268, 5620, 10853, 6788, 689, 741, 3214, 563, 268, 8073, 513, 2635, 543, 4277, 1604, 585, 873, 269, 8866, 3765, 2041, 17647, 1034, 540, 519, 942, 950, 789, 1205, 19252, 269, 1403, 789, 616, 1045, 334, 5367, 7683, 267, 741, 1648, 4991, 8756, 1242, 538, 519, 1318, 4287, 563, 268, 589, 2318, 1565, 1604, 693, 1753, 269, 24269, 3214, 2097, 909, 609, 1022, 1966, 267, 1101, 6432, 547, 873, 543, 2307, 2055, 267, 799, 2337, 873, 1589, 543, 1265, 4267, 3079, 540, 18445, 4267, 547, 873, 269, 5776, 2178, 609, 873, 538, 14488, 269, 1403, 3237, 786, 1152, 6432, 547, 741, 4819, 779, 1507, 3877, 267, 1287, 789, 786, 1020, 3972, 543, 2671, 741, 2462, 2042, 563, 268, 5901, 519, 476, 275, 623, 779, 540, 15970, 538, 2259, 269, 1452, 476, 275, 623, 779, 616, 281, 2259, 267, 17192, 267, 1448, 856, 267, 543, 5401, 563, 268, 1306, 3237, 267, 2671, 707, 1565, 2833, 543, 6126, 8823, 547, 1020, 513, 1434, 6125, 609, 3214, 563, 268, 5213, 1406, 2141, 2307, 873, 547, 1353, 269, 5502, 267, 594, 4280, 873, 547, 1404, 543, 2911, 607, 1134, 269, 9024, 5573, 519, 6643, 950, 789, 616, 711, 4358, 621, 563, 268, 2142, 6109, 267, 4023, 267, 543, 7874, 538, 707, 2792, 609, 873, 563, 268, 3245, 942, 547, 942, 267, 1865, 707, 6644, 827, 707, 1126, 609, 707, 7649, 865, 602, 596, 1312, 666, 6430, 875, 547, 3391, 873, 563, 268, 2913, 873, 1174, 602, 621, 779, 21453, 547, 4339, 610, 8044, 267, 855, 1018, 568, 711, 568, 547, 1832, 602, 4339, 2469, 585, 513, 1279, 942, 269, 10312, 593, 6061, 519, 6161, 563, 268, 4179, 2517, 4178, 6983, 611, 629, 600, 3333, 2214, 8558, 2593, 270, 684, 11794, 1790, 1861, 30512, 2078, 270, 0, 3674, 20554, 2731, 9875, 982, 28568, 286, 1403, 9811, 267, 1018, 2306, 621, 9875, 543, 267, 952, 6382, 267, 1018, 2306, 621, 1447, 2352, 888, 1103, 713, 2376, 267, 649, 4927, 4983, 519, 3096, 543, 1377, 540, 7411, 610, 8897, 585, 1312, 18362, 543, 849, 2285, 596, 4388, 593, 875, 547, 3442, 519, 1655, 835, 585, 3054, 269, 2913, 779, 1205, 3323, 563, 11795, 3720, 9737, 20554, 543, 28568, 454, 5575, 267, 20554, 568, 606, 27099, 799, 6763, 585, 519, 1977, 5441, 13281, 269, 2755, 28568, 568, 606, 27099, 799, 6763, 585, 519, 4139, 2296, 5678, 13281, 3590, 563, 16898, 543, 28568, 616, 1079, 4922, 6444, 13387, 4255, 602, 4196, 1114, 5301, 269, 634, 20554, 3800, 513, 2875, 779, 22026, 585, 2852, 267, 6466, 519, 28568, 3800, 513, 1875, 28921, 2296, 10584, 779, 15334, 538, 2296, 585, 4081, 543, 3318, 5301, 269, 3371, 616, 930, 1883, 3604, 1063, 519, 1079, 4255, 912, 268, 20828, 281, 634, 20554, 2708, 525, 513, 2875, 779, 1702, 543, 1983, 538, 2185, 1641, 2127, 281, 2296, 267, 9119, 267, 7335, 267, 543, 3163, 269, 898, 568, 4122, 1031, 585, 2852, 23504, 538, 519, 2136, 2276, 269, 2201, 519, 824, 1688, 267, 28568, 3800, 513, 1268, 779, 2702, 547, 946, 2296, 538, 606, 4081, 610, 3318, 4259, 267, 543, 568, 1031, 676, 9945, 267, 12820, 267, 543, 11776, 2533, 1472, 519, 1158, 563, 268, 14474, 281, 634, 20554, 568, 513, 2789, 31547, 1449, 267, 609, 606, 18593, 1603, 3296, 269, 634, 28568, 814, 2185, 6810, 281, 23016, 267, 7335, 267, 5675, 267, 543, 24935, 563, 268, 2480, 1681, 281, 634, 20554, 568, 20639, 593, 513, 4336, 540, 476, 272, 268, 3607, 585, 1142, 3296, 267, 609, 513, 12432, 6060, 7229, 676, 19011, 1645, 519, 2185, 3296, 8464, 269, 634, 28568, 568, 20639, 593, 513, 4336, 540, 476, 271, 268, 280, 267, 609, 8464, 538, 1142, 3296, 1373, 30714, 585, 606, 2949, 6060, 563, 268, 4530, 667, 919, 281, 634, 20554, 568, 13950, 593, 1896, 7389, 2429, 519, 1032, 267, 6466, 519, 28568, 666, 581, 3144, 593, 1022, 540, 519, 476, 4366, 1449, 7389, 2139, 829, 1032, 267, 4352, 8244, 949, 4096, 593, 519, 4087, 563, 268, 10312, 281, 634, 20554, 2708, 525, 513, 2875, 779, 4081, 1702, 267, 1247, 519, 28568, 4255, 513, 1268, 779, 2702, 547, 946, 2296, 538, 1483, 8996, 5468, 971, 607, 960, 267, 1353, 267, 543, 1514, 3871, 563, 21008, 532, 519, 30975, 20946, 540, 20554, 543, 28568, 454, 763, 20554, 543, 28568, 616, 1079, 1114, 13387, 4255, 602, 616, 1031, 547, 2708, 1053, 685, 4081, 5759, 543, 1983, 269, 1358, 616, 4122, 3144, 676, 1053, 7311, 547, 9945, 543, 12621, 538, 1114, 2694, 540, 519, 1158, 269, 2755, 1312, 4255, 616, 2966, 547, 6218, 513, 2875, 779, 1761, 585, 1967, 538, 2362, 2069, 267, 972, 616, 930, 1713, 3604, 538, 519, 2497, 543, 7411, 1377, 540, 891, 11400, 563, 763, 20554, 568, 5258, 883, 2185, 6810, 281, 2296, 267, 4569, 267, 7335, 267, 543, 3163, 267, 1247, 519, 28568, 5161, 540, 2185, 6810, 281, 23016, 267, 7335, 267, 5675, 267, 543, 24935, 563, 763, 20554, 6212, 593, 4152, 513, 2875, 779, 1702, 538, 2296, 267, 4569, 267, 7335, 267, 543, 3163, 267, 6466, 519, 28568, 12116, 513, 2875, 779, 15334, 538, 519, 2296, 1893, 563, 763, 20554, 568, 513, 1614, 16923, 1279, 1449, 267, 1247, 519, 28568, 568, 1079, 3108, 543, 476, 3393, 3764, 1279, 563, 763, 20554, 568, 3622, 2808, 811, 4101, 982, 519, 28568, 269, 634, 2979, 3296, 540, 519, 20554, 568, 1634, 547, 581, 3226, 2352, 267, 1247, 519, 2542, 543, 1603, 6810, 540, 519, 28568, 2154, 513, 1164, 1377, 540, 1702, 540, 519, 2296, 1893, 563, 763, 20554, 568, 20639, 593, 513, 4336, 540, 476, 272, 547, 476, 3607, 267, 1247, 519, 28568, 568, 20639, 593, 513, 4336, 540, 476, 271, 547, 476, 280, 563, 763, 20554, 568, 5097, 1031, 585, 2852, 23504, 538, 519, 2136, 2276, 267, 1247, 519, 28568, 568, 1031, 585, 7127, 883, 9945, 543, 12621, 538, 2296, 18702, 2477, 5001, 563, 8448, 11790, 2334, 18748, 519, 30975, 540, 20554, 543, 28568, 454, 4407, 519, 2497, 540, 519, 20554, 543, 519, 28568, 11400, 1404, 606, 1271, 1909, 538, 8159, 741, 1377, 540, 7411, 267, 972, 616, 849, 1896, 824, 2188, 602, 666, 1860, 519, 1377, 540, 4161, 513, 1880, 11134, 949, 3068, 269, 2368, 540, 891, 2188, 1331, 912, 268, 5678, 15334, 281, 2290, 1271, 3815, 602, 5540, 519, 7411, 1377, 540, 519, 28568, 981, 585, 1875, 28921, 2296, 10529, 568, 741, 15334, 1377, 538, 519, 1893, 269, 8409, 609, 513, 21260, 9787, 540, 2296, 786, 1265, 621, 811, 4101, 547, 1174, 543, 2626, 2055, 593, 519, 981, 563, 268, 4530, 23824, 1983, 281, 589, 11134, 779, 2949, 1449, 23824, 1983, 267, 971, 607, 942, 2359, 267, 2565, 3206, 267, 543, 1966, 9010, 5759, 267, 666, 849, 1860, 519, 9228, 7411, 540, 519, 981, 563, 268, 13595, 1702, 281, 1280, 519, 20554, 981, 267, 513, 11134, 779, 1641, 1702, 538, 2127, 971, 607, 2979, 267, 2257, 267, 543, 2296, 666, 3648, 1764, 875, 4101, 519, 981, 949, 581, 563, 268, 4530, 4160, 281, 2368, 2043, 949, 1995, 1449, 4160, 267, 3056, 547, 2799, 2566, 2157, 543, 7411, 23622, 1282, 519, 981, 267, 799, 666, 1860, 741, 2702, 547, 1685, 1134, 563, 268, 13281, 1604, 281, 634, 4152, 1604, 666, 849, 1404, 513, 1909, 538, 519, 7411, 1377, 540, 519, 981, 269, 1280, 3236, 267, 513, 26776, 610, 22125, 4152, 4099, 666, 16297, 10457, 543, 1118, 621, 811, 4101, 585, 873, 547, 1445, 267, 1247, 513, 12560, 543, 1134, 2000, 527, 4099, 666, 2087, 741, 5834, 543, 2949, 2773, 563, 3674, 20554, 10434, 518, 20537, 28568, 888, 2005, 779, 711, 3617, 547, 5635, 519, 20554, 543, 28568, 4255, 607, 789, 4196, 4625, 1114, 5301, 269, 634, 20554, 568, 606, 1977, 13387, 1449, 1031, 585, 2852, 23504, 267, 1247, 519, 28568, 568, 606, 2296, 15334, 1449, 1031, 585, 11776, 267, 960, 267, 543, 1353, 5301, 538, 2296, 18702, 2477, 269, 5637, 11400, 616, 4101, 538, 741, 1378, 2081, 543, 2154, 1114, 5578, 5036, 269, 634, 7411, 1377, 540, 1142, 1449, 949, 4268, 585, 2043, 4470, 593, 741, 9342, 543, 12755, 563, 10112, 31757, 519, 7420, 540, 20554, 543, 28568, 585, 6348, 9539, 894, 2296, 4325, 5474, 454, 763, 20554, 543, 28568, 616, 13387, 4255, 602, 2708, 1875, 28921, 2296, 10529, 685, 15334, 538, 519, 2296, 1893, 269, 1452, 10526, 666, 581, 4101, 585, 1896, 4128, 267, 1519, 519, 1739, 912, 268, 5678, 4446, 8175, 281, 634, 1034, 1713, 4161, 585, 1875, 28921, 2296, 10529, 568, 519, 1893, 11064, 269, 1358, 949, 6560, 609, 6863, 267, 8239, 267, 18986, 1682, 267, 543, 16105, 267, 1818, 621, 4101, 547, 1174, 543, 5968, 3927, 563, 268, 19361, 640, 609, 519, 4530, 14474, 281, 6348, 28921, 2296, 10529, 949, 711, 581, 5432, 609, 519, 1449, 3898, 267, 799, 666, 1118, 621, 4101, 547, 1174, 519, 5528, 543, 2347, 4247, 7561, 563, 268, 5384, 5004, 281, 20554, 543, 28568, 4255, 616, 31764, 267, 799, 8591, 547, 519, 2604, 585, 1875, 28921, 2296, 10529, 267, 945, 949, 991, 811, 942, 547, 10146, 543, 4431, 547, 1449, 2055, 563, 268, 8836, 20212, 281, 6348, 28921, 2296, 10529, 949, 3068, 2686, 3604, 602, 666, 1118, 621, 4101, 547, 10146, 543, 4612, 1449, 2055, 563, 2414, 7753, 891, 2591, 267, 1875 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7680, 21472, 2621, 269, 4197, 519, 1808, 2825, 4220, 538, 513, 1880, 4087, 568, 2629, 585, 2500, 9568, 23982, 543, 3210, 563, 306, 665, 1470, 11296, 13438, 4249, 513, 1713, 1909, 538, 8159, 519, 1764, 540, 12469, 593, 2950, 269, 11790, 971, 607, 6710, 267, 3668, 540, 1569, 547, 2200, 267, 16283, 5989, 267, 543, 3908, 3782, 2533, 666, 22652, 519, 2360, 540, 513, 9568, 269, 23977, 1676, 762, 5095, 616, 1419, 25409, 4299, 676, 12469, 267, 10223, 519, 2956, 540, 5466, 1514, 543, 2804, 13103, 538, 9568, 2359, 2994, 563, 20007, 1670, 543, 5606, 2858, 24780, 24093, 454, 20007, 1670, 543, 1102, 2858, 24780, 4220, 7854, 519, 1761, 585, 812, 13402, 12469, 971, 607, 4853, 10913, 267, 6283, 13685, 267, 543, 5989, 14286, 269, 28544, 5989, 267, 16283, 5826, 267, 543, 6639, 10898, 10460, 1713, 4220, 547, 2950, 543, 2154, 14942, 1981, 2359, 3800, 269, 4197, 519, 6639, 543, 1102, 2858, 24780, 16426, 538, 513, 3148, 568, 1898, 585, 19086, 519, 1764, 540, 1761, 12469, 563, 32575, 519, 17848, 15486, 540, 2598, 7539, 281, 589, 18043, 13979, 454, 763, 11957, 540, 17848, 20531, 5811, 454, 2691, 621, 2501, 547, 12469, 267, 621, 779, 2629, 547, 1174, 519, 5817, 2188, 602, 3565, 547, 741, 12136, 269, 17848, 2014, 2079, 568, 513, 9836, 1184, 585, 7114, 519, 5817, 3123, 540, 606, 10071, 610, 1966, 269, 1635, 10647, 513, 9488, 2079, 267, 3906, 666, 10625, 519, 3020, 3597, 3123, 540, 12469, 267, 2864, 982, 1175, 5466, 519, 2589, 269, 901, 1935, 2636, 585, 519, 6388, 540, 2500, 15324, 3800, 547, 11574, 519, 1981, 540, 2104, 12469, 563, 13349, 17848, 15486, 540, 2598, 7539, 454, 11514, 7539, 666, 6565, 689, 513, 3099, 540, 3597, 3123, 267, 543, 621, 779, 1898, 547, 2697, 543, 2232, 891, 2188, 547, 2061, 2104, 20825, 269, 2368, 1455, 3597, 3123, 540, 12469, 1331, 1480, 5470, 267, 3937, 5821, 267, 2825, 2188, 267, 543, 10721, 19518, 269, 1280, 1383, 267, 513, 2067, 9568, 971, 607, 513, 19996, 666, 581, 28978, 676, 16283, 5989, 543, 4057, 4683, 4058, 269, 1635, 1620, 891, 3597, 3123, 267, 3906, 666, 1491, 14942, 3800, 547, 7413, 519, 1764, 540, 12469, 563, 25363, 13586, 513, 18043, 13979, 454, 11754, 7675, 519, 3597, 3123, 540, 12469, 3340, 513, 3102, 1935, 602, 3322, 5698, 2066, 1585, 10459, 543, 8639, 269, 901, 949, 1331, 10647, 1981, 10526, 547, 2697, 1761, 16426, 267, 7598, 2866, 543, 2069, 3292, 547, 3986, 23982, 267, 543, 3384, 6595, 3210, 4566, 547, 11574, 519, 1764, 540, 12469, 269, 1635, 2921, 513, 11455, 1935, 267, 3906, 666, 3927, 2232, 519, 3597, 3123, 540, 12469, 543, 1628, 6043, 1996, 2104, 13685, 563, 22860, 4506, 519, 3955, 8588, 1145, 540, 11485, 11790, 538, 28155, 31950, 926, 657, 454, 763, 29203, 540, 11485, 11790, 454, 2691, 621, 2501, 547, 9568, 7653, 267, 621, 779, 2629, 547, 1174, 602, 1981, 2188, 616, 1419, 10562, 543, 666, 22652, 1142, 824, 269, 1280, 1383, 267, 538, 513, 19996, 267, 1164, 12798, 666, 1291, 547, 14700, 267, 799, 538, 2490, 666, 2014, 5989, 3441, 543, 1379, 856, 1137, 269, 901, 6988, 2306, 621, 1898, 547, 5659, 519, 25872, 540, 1981, 2188, 547, 3927, 5965, 585, 543, 4431, 547, 12469, 563, 25842, 540, 8693, 7827, 454, 20458, 1689, 568, 513, 1713, 1981, 3815, 602, 568, 10562, 609, 1585, 9568, 7653, 269, 29547, 2518, 5210, 666, 1291, 547, 811, 7928, 543, 7920, 2067, 12469, 971, 607, 24377, 267, 23967, 267, 543, 17160, 269, 3958, 267, 2916, 1689, 666, 849, 22652, 824, 1981, 2188, 971, 607, 1426, 543, 1216, 20317, 267, 12761, 540, 5095, 267, 543, 2804, 16132, 269, 4197, 519, 25872, 540, 2916, 1689, 609, 824, 1981, 2188, 568, 2629, 585, 3384, 3102, 9568, 23982, 543, 3210, 4566, 563, 305, 1961, 540, 17502, 1470, 11296, 11790, 454, 306, 665, 1470, 11296, 2188, 1404, 513, 2565, 1909, 538, 9568, 7653, 543, 616, 1419, 10562, 609, 824, 1981, 2188, 269, 1280, 1383, 267, 12790, 2950, 949, 581, 25409, 4299, 676, 12469, 1813, 547, 3668, 540, 1569, 547, 2200, 267, 16283, 5989, 267, 543, 3908, 3782, 2533, 269, 3958, 267, 14227, 2188, 666, 849, 1764, 519, 2702, 540, 2043, 543, 2950, 547, 9156, 689, 12469, 267, 3056, 547, 1279, 3856, 1514, 543, 2804, 4539, 269, 22718, 519, 25872, 540, 14227, 2188, 609, 824, 1981, 2188, 568, 1898, 585, 5466, 13103, 543, 4180, 12581, 9568, 23982, 543, 3210, 3646, 563, 24066, 15070, 519, 8177, 540, 7025, 543, 5274, 11790, 593, 28155, 11485, 454, 20245, 2188, 1404, 513, 1713, 1909, 538, 8159, 519, 1377, 540, 9568, 1981, 538, 513, 1880, 1858, 269, 7849, 12469, 971, 607, 24377, 267, 16767, 267, 543, 17160, 616, 1419, 6766, 676, 519, 10923, 4087, 543, 2916, 540, 513, 3148, 269, 1280, 1383, 267, 9381, 2127, 616, 811, 11630, 547, 24377, 543, 20016, 600, 529, 267, 1247, 4525, 2282, 13337, 3515, 616, 693, 2362, 1981, 540, 16767, 269, 3958, 267, 17717, 543, 20012, 666, 22652, 519, 1764, 540, 2067, 12469, 676, 2810, 519, 10171, 540, 26949, 1938, 543, 14700, 269, 898, 568, 2629, 547, 2015, 891, 2825, 2188, 950, 10442, 9568, 1981, 543, 7598, 17846, 2994, 563, 14549, 2188, 849, 3565, 547, 519, 1377, 540, 9568, 1981, 538, 513, 2016, 1858, 269, 15510, 5860, 267, 5989, 1646, 267, 543, 8739, 20300, 2175, 666, 782, 3310, 519, 13438, 540, 513, 2146, 547, 12469, 269, 1280, 3236, 267, 29822, 20651, 4683, 2127, 616, 811, 2693, 547, 1995, 7839, 3441, 543, 25096, 538, 519, 2680, 540, 513, 9568, 267, 1247, 2950, 609, 4057, 5989, 543, 3908, 1569, 547, 2200, 949, 6560, 547, 9156, 269, 4197, 891, 1480, 2188, 568, 1898, 585, 3384, 2500, 9568, 23982, 543, 3210, 4566, 563, 2691, 10442, 519, 1764, 540, 2825, 543, 1480, 2188, 593, 9568, 1981, 267, 621, 568, 1271, 547, 2015, 513, 2039, 540, 1239, 543, 10832, 269, 901, 949, 1331, 3140, 9568, 2621, 267, 2551, 22097, 267, 5989, 6043, 267, 543, 2825, 13438, 269, 1635, 7421, 891, 2188, 267, 6595, 2359, 4648, 666, 2697, 1164, 16151, 2127, 267, 4225, 4199, 14305, 267, 543, 1020, 6098, 17846, 3800, 269, 3958, 267, 10647, 2834, 1764, 10526, 666, 948, 547, 6895, 2242, 538, 9568, 1981, 936, 942, 543, 3082, 2994, 9935, 563, 25363, 13586, 13229, 11150, 547, 14600, 580, 622, 28155, 11485, 11790, 454, 8139, 28155, 11485, 11790, 454, 11514, 7539, 666, 10880, 693, 1022, 942, 267, 543, 621, 779, 2629, 585, 2043, 543, 3906, 547, 1174, 519, 1981, 2188, 2404, 609, 1114, 2010, 540, 12469, 269, 1452, 1981, 2188, 666, 1331, 10923, 4087, 267, 2916, 267, 5989, 267, 543, 8739, 20300, 2175, 269, 1635, 7114, 543, 1620, 891, 1981, 2188, 267, 621, 3587, 2009, 547, 1020, 2500, 2994, 547, 11574, 741, 1764, 563, 29753, 11485, 10495, 543, 5004, 12697, 454, 3080, 540, 519, 1034, 2500, 2081, 547, 11574, 9568, 1981, 2188, 568, 676, 3384, 3102, 1981, 4879, 543, 2359, 4566, 269, 1452, 4566, 1058, 1331, 513, 9488, 2079, 540, 1761, 10898, 267, 16426, 267, 543, 19206, 1369, 513, 1808, 1858, 610, 3919, 269, 1635, 7114, 891, 2188, 267, 621, 3587, 2009, 547, 1020, 2994, 547, 2569, 1981, 543, 3986, 6043, 269, 901, 949, 4125, 7598, 2038, 9963, 1949, 267, 5355, 5989, 267, 543, 3384, 6595, 3210, 10873, 563, 19465, 7991, 26504, 454, 19465, 2146, 6043, 568, 513, 1883, 5057, 540, 19086, 9568, 1981, 2188, 269, 901, 3322, 2502, 609, 2199, 2950, 547, 6318, 4656, 827, 1761, 10898, 543, 7668, 873, 547, 1491, 14942, 3800, 547, 2569, 741, 13438, 269, 7991, 6043, 666, 581, 3710, 998, 2069, 543, 2866, 3292, 267, 519, 10661, 540, 2146, 2861, 9568, 1981, 2359, 26639, 267, 543, 519, 1646, 540, 4264, 5989, 602, 666, 16641, 1761, 12469, 563, 8139, 519, 1883, 1981, 2188, 538, 9568, 2359, 568, 2629, 585, 2500, 23982, 543, 3210, 269, 1635, 7114, 519, 3597, 3123, 540, 12469, 998, 513, 3102, 1935, 267, 649, 666, 1732, 5659, 519, 25872, 540, 1981, 2188, 538, 9568, 7653, 269, 901, 2636, 721, 547, 6218, 519, 1764, 540, 2825, 543, 1480, 2188, 593, 9568, 1981, 267, 3056, 547, 519, 6388, 540, 2500, 2994, 547, 11574, 891, 1981, 2188, 563, 2026, 649, 3136, 547, 3068, 519, 2591, 540, 2067, 543, 812, 13402, 12469, 267, 621, 568, 1898, 547, 4225, 14942, 3800, 547, 2569, 519, 1761, 1764, 269, 1635, 10128, 519, 1702, 6591, 689, 1620, 543, 1114, 11868, 519, 1981, 2188, 5817, 513, 9568, 267, 649, 666, 960, 2509, 2679, 14388, 2950, 543, 10893, 519, 14042, 2360, 540, 2104, 12469, 563, 2005, 568, 938, 7104, 5539, 547, 1491, 2962, 543, 2936, 519, 2556, 3800, 547, 16102, 938, 2950, 543, 519, 1604, 269, 2913, 721, 3136, 547, 960, 1927, 547, 11574, 9568, 1981, 2188, 543, 1711, 513, 10930, 267, 811, 5150, 2104, 585, 782, 269, 0, 16240, 3594, 3884, 1406, 607, 2241, 607, 621, 4667, 269, 769, 4641, 267, 1603, 1851, 873, 568, 1631, 513, 1641, 540, 15784, 1851, 930, 540, 519, 1034, 9976, 5830, 538, 1686, 269, 634, 2601, 585, 713, 568, 519, 1557, 4564, 519, 10700, 1106, 540, 14379, 1107, 10339, 1833, 998, 519, 5420, 540, 1913, 269, 2290, 4636, 1847, 666, 581, 29070, 547, 606, 2376, 269, 2334, 568, 1946, 1169, 2875, 1590, 1491, 930, 4316, 547, 1831, 18164, 827, 1010, 610, 1200, 1603, 10450, 543, 1018, 3898, 646, 610, 1352, 3580, 581, 1210, 538, 1931, 547, 17492, 513, 5888, 563, 2467, 616, 513, 1297, 540, 2596, 4808, 267, 2705, 267, 602, 949, 948, 4896, 2328, 513, 10388, 1557, 269, 7324, 519, 1034, 1898, 18125, 540, 21882, 3594, 568, 16116, 513, 1697, 1888, 269, 901, 568, 1317, 519, 2376, 3294, 2228, 10259, 2638, 518, 786, 13789, 607, 519, 26813, 610, 519, 5098, 3948, 267, 799, 786, 1683, 519, 5779, 547, 519, 2898, 1557, 269, 1306, 971, 267, 621, 779, 1360, 1271, 602, 519, 2376, 779, 1641, 568, 23182, 2219, 13050, 543, 6462, 676, 1585, 5885, 6898, 543, 5013, 563, 2691, 519, 1557, 568, 4956, 2390, 267, 519, 1985, 1900, 568, 547, 3442, 513, 1603, 2511, 269, 901, 568, 3833, 1454, 899, 519, 5650, 835, 3096, 950, 7446, 513, 1888, 585, 1010, 610, 1200, 1382, 1957, 269, 634, 1603, 2511, 1058, 581, 3964, 1369, 519, 2497, 540, 713, 1557, 269, 634, 1603, 2511, 568, 3622, 8200, 593, 519, 2186, 540, 519, 5856, 267, 1498, 930, 5830, 798, 6451, 741, 2123, 2511, 883, 741, 3594, 563, 763, 1034, 1455, 2511, 540, 1557, 1603, 568, 3617, 1107, 6518, 1797, 621, 18252, 892, 3667, 2861, 892, 1603, 269, 31131, 1603, 568, 1419, 3351, 2213, 538, 519, 9443, 267, 4702, 267, 4915, 267, 543, 824, 4081, 10459, 269, 769, 713, 4259, 267, 972, 779, 513, 991, 547, 1711, 606, 4661, 610, 1888, 4845, 799, 2306, 513, 3948, 540, 930, 2186, 269, 634, 2278, 568, 1287, 2838, 547, 1489, 602, 3409, 609, 1483, 543, 9266, 1344, 543, 1806, 269, 31131, 1603, 568, 7494, 20314, 550, 593, 519, 3159, 835, 16858, 547, 5968, 609, 1200, 610, 1010, 5304, 563, 1103, 845, 531, 1603, 267, 593, 519, 824, 1688, 267, 2228, 4845, 2323, 2758, 568, 811, 13016, 543, 5673, 1447, 2390, 513, 1808, 1888, 4845, 547, 8044, 513, 1448, 269, 5221, 540, 713, 267, 519, 3159, 540, 519, 1557, 568, 1454, 811, 16148, 269, 22252, 531, 1603, 568, 1419, 6964, 585, 1382, 4574, 267, 2110, 2984, 267, 543, 1256, 538, 4609, 269, 1703, 568, 711, 513, 7453, 23988, 827, 1018, 568, 711, 3617, 585, 606, 13016, 1603, 2511, 269, 1306, 971, 267, 713, 6073, 540, 1603, 568, 3501, 585, 1346, 945, 3870, 621, 811, 982, 6101, 267, 21503, 3594, 563, 2414, 973, 777, 267, 7446, 513, 1641, 568, 519, 1101, 1900, 2509, 1603, 606, 1557, 269, 2991, 16116, 513, 1888, 267, 606, 1367, 814, 547, 3442, 513, 1603, 2511, 269, 11086, 267, 3442, 513, 1888, 4845, 610, 476, 273, 543, 581, 2386, 547, 946, 1697, 8716, 2963, 547, 1489, 519, 3375, 835, 13821, 547, 3035, 269, 1452, 476, 274, 3800, 616, 1898, 585, 513, 3811, 1557, 269, 0, 1432, 1281, 621, 1611, 547, 4144, 675, 572, 888, 13312, 999, 529, 568, 513, 2783, 538, 799, 519, 14401, 6882, 1932, 1454, 15629, 5714, 269, 2334, 4679, 707, 10729, 2504, 543, 519, 4908, 609, 799, 596, 991, 547, 946, 519, 19880, 563, 1432, 4523, 952, 596, 4144, 675, 572, 1932, 3533, 888, 13312, 999, 529, 693, 513, 5488, 2557, 949, 1291, 547, 703, 9545, 6018, 4320, 22930, 269, 1280, 2550, 609, 1360, 13029, 10841, 2572, 267, 713, 949, 2333, 12499, 268, 629, 12645, 2604, 543, 2014, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6854, 4730, 519, 5859, 26107, 267, 521, 1662, 11691, 2235, 639, 2575, 267, 543, 835, 1185, 513, 4090, 540, 9355, 267, 7920, 607, 632, 10937, 642, 340, 2073, 585, 519, 6429, 799, 1185, 3144, 1747, 1185, 1044, 1350, 31663, 539, 1354, 538, 513, 18797, 7574, 635, 12203, 282, 621, 729, 519, 6429, 1141, 519, 5869, 267, 519, 1319, 710, 324, 31561, 267, 519, 7260, 5182, 2501, 547, 519, 19289, 547, 3409, 519, 1946, 568, 1271, 547, 1451, 1557, 27959, 267, 610, 1018, 568, 519, 1482, 267, 543, 1557, 1036, 757, 476, 1001, 274, 811, 547, 1946, 568, 267, 938, 3037, 267, 519, 575, 1638, 1392, 12599, 1557, 11176, 5869, 267, 519, 13464, 4622, 267, 21128, 693, 519, 632, 534, 781, 1753, 11303, 676, 513, 5480, 540, 1930, 1606, 15781, 1053, 547, 5418, 611, 609, 519, 632, 534, 585, 1010, 8250, 781, 21098, 543, 10479, 547, 7005, 547, 1451, 1557, 267, 2322, 593, 519, 2462, 7574, 602, 3781, 269, 634, 15122, 4828, 1280, 6820, 476, 1001, 274, 269, 1656, 10393, 594, 4718, 519, 15007, 267, 621, 3357, 883, 1445, 585, 803, 267, 543, 594, 6956, 519, 1271, 547, 1451, 7099, 540, 4965, 799, 1185, 561, 664, 936, 519, 15007, 267, 1317, 6368, 621, 729, 2241, 281, 519, 24273, 941, 2469, 547, 9930, 3729, 513, 812, 945, 267, 1100, 2339, 875, 3978, 1010, 2797, 11428, 1522, 581, 267, 729, 967, 529, 1584, 2406, 543, 530, 11035, 5991, 11035, 2469, 547, 581, 2938, 607, 513, 1390, 4216, 11325, 823, 17076, 267, 543, 519, 4539, 540, 602, 941, 31417, 543, 711, 693, 476, 274, 1557, 19875, 782, 2653, 547, 5173, 563, 7712, 519, 3689, 2622, 2782, 4892, 723, 1044, 3056, 513, 5595, 1272, 267, 543, 938, 1686, 814, 6410, 593, 7005, 1271, 547, 1451, 1079, 8933, 267, 835, 7298, 267, 519, 824, 11895, 282, 972, 814, 1044, 519, 1686, 540, 6214, 799, 568, 6405, 267, 23610, 267, 4052, 543, 585, 2518, 1036, 757, 476, 1001, 274, 796, 29207, 341, 2406, 20585, 952, 711, 585, 519, 4539, 540, 519, 3527, 540, 1271, 547, 1451, 267, 930, 540, 891, 2367, 282, 543, 972, 568, 513, 1016, 614, 10328, 5757, 540, 2150, 11474, 267, 7542, 665, 1190, 267, 24949, 543, 11509, 13821, 267, 602, 5834, 540, 3235, 560, 6470, 543, 521, 12028, 340, 1603, 12200, 5208, 799, 568, 519, 5326, 1272, 540, 519, 1946, 568, 1557, 4182, 269, 634, 14206, 2540, 949, 2943, 581, 2938, 607, 602, 5736, 950, 3540, 1242, 812, 543, 896, 1440, 643, 850, 3022, 812, 941, 24268, 1927, 883, 2527, 812, 267, 519, 4401, 543, 5374, 540, 519, 13524, 2540, 4758, 1259, 547, 5907, 11387, 799, 28078, 741, 6835, 883, 2367, 267, 519, 29267, 626, 752, 762, 12402, 540, 519, 1007, 2540, 3100, 532, 547, 581, 519, 5137, 540, 2367, 607, 20049, 762, 607, 21113, 267, 741, 26037, 540, 7209, 2206, 539, 856, 540, 21258, 821, 8683, 28965, 267, 6228, 676, 7005, 1271, 519, 2618, 545, 4610, 540, 3196, 519, 3868, 2209, 1131, 20818, 269, 901, 2530, 540, 7209, 729, 513, 31685, 547, 519, 2104, 540, 519, 9345, 267, 855, 17542, 540, 1004, 1522, 1101, 4324, 689, 621, 676, 2348, 2614, 547, 3548, 1765, 821, 1705, 711, 917, 11652, 972, 7283, 3632, 611, 1564, 540, 4187, 538, 2342, 1141, 519, 3284, 7005, 2528, 729, 2620, 543, 5072, 941, 7298, 538, 519, 6189, 540, 519, 2250, 269, 15439, 267, 3013, 729, 519, 2244, 1141, 1004, 1869, 5156, 538, 1946, 568, 7005, 547, 1451, 1557, 12325, 269, 3767, 1877, 267, 607, 538, 3013, 267, 2705, 267, 729, 713, 2887, 689, 1367, 812, 547, 2527, 812, 5433, 865, 8650, 569, 267, 585, 3013, 729, 693, 2899, 519, 1101, 543, 1034, 30508, 17082, 540, 2527, 10618, 267, 543, 519, 1034, 3597, 1652, 540, 2477, 267, 2094, 3592, 1100, 1977, 1223, 2482, 3409, 547, 519, 1899, 540, 513, 1920, 799, 1185, 711, 2899, 693, 2547, 694, 30099, 922, 5072, 676, 4955, 7992, 1934, 269, 1809, 267, 952, 3597, 1652, 267, 621, 729, 1287, 519, 1034, 7925, 540, 2477, 547, 922, 1378, 4630, 4094, 1436, 269, 8616, 3013, 729, 849, 519, 2197, 538, 4123, 799, 519, 1946, 568, 1557, 6422, 7242, 540, 519, 11193, 20196, 1169, 812, 729, 5732, 9058, 1765, 330, 2908, 922, 1034, 13730, 18094, 269, 15439, 267, 3013, 729, 519, 2244, 1141, 1004, 1869, 5156, 538, 12325, 281, 6723, 6115, 282, 25381, 519, 17718, 282, 12493, 267, 16962, 282, 4460, 30805, 267, 10793, 5507, 267, 12920, 532, 3118, 282, 15608, 8402, 267, 5915, 335, 8124, 267, 22918, 548, 2006, 13343, 282, 3013, 5156, 538, 9845, 267, 15555, 24507, 2996, 267, 1285, 328, 2209, 282, 1256, 18798, 267, 676, 519, 942, 4406, 550, 3626, 5747, 563, 2005, 729, 513, 2197, 799, 1185, 6738, 676, 519, 20014, 540, 835, 5869, 2250, 1776, 28934, 972, 513, 10315, 538, 782, 540, 938, 2666, 799, 1281, 711, 723, 922, 19416, 4137, 286, 1656, 950, 519, 4639, 729, 4904, 267, 519, 7269, 5828, 27808, 267, 2968, 851, 540, 606, 989, 18469, 267, 21467, 343, 322, 1243, 267, 2706, 515, 730, 5326, 1272, 269, 634, 4670, 801, 3930, 28520, 909, 741, 3406, 7547, 607, 519, 20281, 729, 6368, 20177, 267, 543, 8683, 28965, 519, 11509, 7399, 540, 519, 2025, 21037, 540, 2244, 5828, 883, 513, 7299, 7242, 267, 16290, 1369, 519, 15693, 267, 540, 513, 1007, 2186, 540, 24123, 1272, 267, 1142, 7446, 1010, 1378, 18840, 6943, 540, 513, 29724, 268, 1066, 320, 8599, 812, 267, 581, 621, 31550, 3467, 267, 595, 698, 2284, 267, 674, 14979, 333, 267, 32181, 691, 267, 15952, 334, 610, 16429, 21358, 267, 855, 621, 729, 3592, 607, 952, 972, 941, 1100, 4708, 8259, 835, 1223, 4339, 1134, 267, 6146, 1134, 630, 604, 2141, 609, 8956, 1070, 2648, 1134, 543, 2648, 1082, 267, 581, 3579, 267, 581, 29412, 267, 581, 546, 4770, 267, 581, 3552, 267, 581, 530, 1176, 267, 581, 4199, 995, 267, 581, 513, 12703, 7784, 269, 1656, 713, 7242, 267, 602, 1142, 540, 721, 729, 4535, 547, 581, 1863, 267, 547, 32603, 267, 547, 723, 7045, 543, 547, 1332, 593, 519, 6329, 540, 519, 10795, 267, 519, 13526, 25390, 267, 543, 519, 6397, 267, 1185, 513, 3196, 799, 1223, 711, 581, 512, 3139, 1100, 2339, 875, 519, 4182, 781, 22124, 1765, 335, 7035, 5974, 267, 3053, 657, 267, 2384, 18779, 267, 20485, 267, 20577, 267, 14558, 529, 267, 26110, 267, 1361, 860, 1132, 2073, 25164, 3315, 7370, 267, 26767, 267, 26933, 543, 11995, 3868, 2209, 1765, 30524, 15839, 2987, 519, 2413, 1272, 609, 9882, 2390, 7254, 640, 267, 543, 7005, 1647, 1532, 992, 4630, 1176, 936, 3531, 3363, 282, 519, 7242, 1131, 711, 5884, 269, 11569, 513, 10116, 540, 519, 4182, 781, 1870, 1590, 723, 31030, 2390, 922, 6228, 269, 1809, 621, 18423, 9800, 585, 811, 982, 602, 4534, 621, 729, 607, 952, 519, 5048, 538, 519, 2978, 31307, 540, 519, 6090, 1131, 31274, 602, 5208, 729, 19526, 609, 5876, 267, 543, 7045, 729, 519, 5728, 540, 2648, 269, 4495, 267, 538, 3284, 7005, 476, 274, 1557, 19875, 519, 5822, 2622, 2782, 543, 538, 519, 1032, 610, 1079, 799, 4553, 267, 519, 11895, 5757, 8120, 547, 7005, 547, 1451, 267, 3618, 267, 543, 519, 1272, 540, 519, 4182, 729, 7920, 267, 540, 519, 1459, 267, 3167, 282, 607, 513, 14799, 1767, 267, 2334, 729, 519, 942, 950, 649, 5795, 6105, 799, 4957, 1004, 781, 2729, 269, 1280, 6820, 476, 1001, 274, 269, 634, 10783, 625, 729, 513, 8717, 950, 519, 3432, 609, 799, 835, 781, 1378, 2621, 7018, 8604, 607, 4028, 607, 519, 1686, 540, 519, 1271, 547, 1451, 6370, 26753, 267, 543, 585, 519, 2527, 540, 1004, 538, 3013, 513, 7142, 15292, 883, 513, 1007, 26570, 540, 28168, 267, 7553, 729, 519, 1267, 269, 634, 26208, 267, 519, 14286, 267, 543, 519, 12178, 540, 602, 1272, 1590, 723, 17512, 1881, 930, 8229, 540, 1271, 1557, 267, 4656, 538, 519, 1379, 543, 575, 1638, 1392, 12599, 1557, 519, 2527, 267, 585, 267, 607, 952, 588, 4459, 523, 676, 519, 610, 22080, 2880, 642, 626, 553, 519, 7242, 1185, 5645, 909, 689, 11895, 267, 519, 18956, 547, 513, 811, 15061, 6228, 729, 4524, 569, 267, 519, 4250, 540, 25399, 3262, 899, 606, 19450, 30339, 540, 1630, 2812, 269, 1677, 4896, 945, 1223, 1294, 267, 519, 7050, 1728, 3122, 807, 540, 519, 4414, 5951, 729, 1100, 7041, 547, 3068, 606, 10546, 267, 855, 2864, 513, 9810, 540, 519, 3084, 1582, 281, 1863, 2000, 8221, 267, 561, 755, 2000, 17415, 267, 19473, 2065, 267, 5579, 659, 762, 1765, 11274, 6324, 640, 3564, 21494, 640, 547, 6003, 25399, 865, 267, 585, 519, 5837, 2472, 540, 23237, 1143, 1185, 1044, 16972, 3023, 543, 513, 11432, 2730, 3684, 540, 1946, 568, 267, 1570, 18381, 563, 2690, 1027, 11895, 1586, 267, 2620, 9944, 782, 24153, 781, 6226, 652, 6413, 10571, 902, 540, 10076, 2657, 538, 2659, 7991, 267, 519, 12599, 7242, 4797, 547, 2095, 267, 10480, 676, 8613, 543, 7005, 1557, 519, 4670, 269, 634, 535, 1170, 675, 538, 519, 3084, 20369, 3832, 11097, 2989, 547, 519, 8594, 1448, 269, 634, 2063, 1804, 5920, 540, 519, 7242, 729, 519, 3860, 1603, 12200, 8917, 799, 8945, 539, 519, 1135, 3149, 543, 5795, 16452, 32457, 1010, 11802, 538, 1946, 568, 1271, 547, 1451, 1412, 4366, 269, 2334, 729, 519, 2063, 269, 595, 877, 519, 11114, 2782, 267, 519, 14692, 540, 519, 670, 1532, 4861, 267, 543, 649, 941, 4712, 585, 476, 274, 1557, 519, 4937, 269, 1133, 2193, 16452, 5795, 1259, 547, 1271, 547, 1451, 267, 12429, 267, 543, 3354, 267, 2834, 640, 267, 1931, 267, 543, 519, 1272, 540, 1100, 9345, 941, 519, 4971, 540, 519, 1554, 269, 717, 1638, 1392, 3004, 12069, 4828, 269, 1403, 835, 1185, 1022, 8969, 540, 713, 267, 972, 729, 15608, 5062, 10111, 20321, 609, 1010, 3710, 2987, 1726, 1783, 18785, 267, 7677, 1639, 676, 547, 1451, 1557, 2696, 267, 543, 21044, 585, 2518, 1686, 519, 3441, 729, 2944, 563, 1103, 519, 2698, 9107, 2842, 540, 1346, 2395, 267, 4896, 945, 5249, 538, 6554, 4646, 519, 4356, 540, 1373, 711, 1932, 3312, 267, 543, 1082, 513, 2247, 693, 5268, 1221, 689, 771, 2224, 543, 4357, 17847, 269, 2311, 519, 1946, 568, 7005, 21895, 972, 729, 1649, 5271, 565, 775, 609, 5718, 267, 2834, 640, 1510, 5075, 267, 3354, 1510, 3106, 267, 20116, 1510, 1272, 269, 634, 6928, 1743, 26661, 593, 267, 602, 11999, 10617, 1222, 540, 519, 1557, 476, 1001, 274, 2136, 2276, 267, 3366, 676, 1946, 568, 7005, 1271, 547, 1451, 513, 14199, 540, 3557, 4171, 2281, 941, 694, 1027, 532, 547, 2860, 267, 543, 607, 519, 1158, 2968, 811, 9735, 1765, 22152, 320, 7432, 3294, 26700, 1524, 267, 1247, 930, 1007, 2186, 540, 3684, 812, 729, 1373, 1500, 538, 3624, 1765, 18314, 2621, 7018, 799, 588, 684, 2740, 538, 1382, 1957, 519, 6015, 540, 3013, 883, 513, 1007, 3781, 281, 519, 28592, 2322, 909, 741, 590, 1584, 23364, 267, 543, 6406, 7126, 20196, 26997, 10516, 547, 519, 1977, 27740, 267, 11292, 585, 1946, 568, 7005, 1271, 1557, 922, 1198, 593, 4914, 12602, 1765, 14588, 14954, 883, 7350, 267, 1483, 1272, 693, 9741, 9412, 269, 4208, 1772, 4828, 269, 634, 3084, 661, 2998, 729, 538, 8710, 281, 519, 28592, 941, 1631, 538, 1557, 930, 2081, 938, 6639, 2706, 12542, 267, 543, 649, 1185, 606, 4835, 1966, 540, 1641, 5095, 3160, 10703, 643, 2406, 538, 1946, 568, 1557, 922, 7411, 547, 21258, 821, 8683, 28965, 3594, 267, 519, 8168, 543, 922, 15408, 269, 634, 4651, 569, 9350, 540, 519, 4937, 3459, 547, 3100, 899, 519, 7005, 1271, 1557, 579, 343, 16124, 20649, 604, 1663, 1878, 540, 519, 9333, 6033, 269, 7201, 17231, 621, 782, 729, 513, 3677, 1966, 269, 634, 1272, 540, 6214, 543, 519, 1272, 540, 7242, 1185, 11651, 3022, 1932, 2484, 267, 543, 519, 19367, 540, 519, 32334, 4123, 1957, 1004, 835, 6785, 10876, 1185, 30281, 1524, 269, 26062, 1296, 3516, 513, 2022, 5937, 788, 1833, 5108, 1185, 8854, 547, 2112, 543, 4646, 513, 18512, 267, 1423, 28410, 267, 676, 1946, 568, 1271, 547, 1451, 2053, 28537, 267, 1286, 17639, 267, 12257, 5498, 22701, 267, 711, 15587, 16283, 7952, 563, 2005, 1705, 851, 540, 1018, 621, 729, 9277, 547, 798, 267, 543, 1082, 267, 856, 540, 8396, 267, 13603, 909, 513, 2186, 540, 3860, 267, 4357, 1272, 593, 1946, 568, 7005, 1271, 547, 1451, 519, 8038, 267, 543, 21258, 821, 3594, 1185, 741, 1434, 942, 5103, 519, 586, 9155, 540, 519, 4108, 1062, 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 ]
[ 1804, 5666, 540, 14599, 1570, 883, 519, 1604, 563, 763, 10782, 6046, 8009, 538, 1686, 729, 3361, 676, 16411, 693, 519, 595, 3062, 984, 2643, 6046, 1379, 2030, 538, 12907, 538, 476, 2735, 277, 269, 2859, 5063, 606, 11999, 13091, 3361, 513, 23329, 799, 27876, 519, 30738, 2313, 9874, 6046, 2030, 538, 3567, 538, 476, 1001, 272, 267, 4929, 513, 9864, 15835, 6658, 540, 519, 19720, 23780, 563, 4913, 267, 1256, 896, 3339, 2175, 267, 10451, 6046, 1379, 7472, 13818, 14599, 3653, 267, 799, 2115, 547, 581, 9108, 7307, 543, 6740, 585, 7366, 540, 1296, 563, 1692, 1454, 6046, 1379, 1281, 519, 5177, 946, 888, 2467, 616, 4867, 3670, 2371, 602, 666, 3761, 827, 476, 736, 260, 540, 5177, 5201, 3747, 267, 609, 476, 1428, 269, 276, 260, 6383, 713, 1259, 538, 476, 1708, 273, 563, 7197, 616, 693, 519, 1439, 540, 741, 1272, 267, 855, 519, 2229, 6499, 547, 5838, 909, 547, 5216, 1007, 26119, 2949, 1107, 609, 835, 547, 581, 9516, 1142, 1032, 2394, 476, 10711, 271, 563, 763, 670, 1074, 2917, 8672, 595, 2030, 568, 2907, 896, 4070, 538, 590, 12002, 564, 267, 543, 538, 5147, 476, 1708, 273, 267, 519, 2229, 5795, 519, 979, 8584, 3650, 585, 519, 12025, 6202, 595, 6046, 1379, 2030, 593, 519, 22206, 13083, 5032, 563, 29310, 891, 786, 581, 2111, 547, 1379, 476, 1321, 2929, 5321, 538, 519, 5177, 563, 2026, 1134, 607, 3677, 6046, 1379, 10473, 267, 519, 2229, 849, 6499, 547, 1020, 9540, 3525, 983, 1234, 716, 832, 630, 15551, 20745, 1040, 1452, 960, 538, 519, 1482, 1259, 607, 6671, 6046, 26119, 267, 855, 593, 513, 4130, 4336, 563, 763, 4960, 27891, 9307, 513, 1007, 6735, 585, 15382, 20745, 547, 581, 9447, 998, 513, 1007, 1560, 1572, 4279, 3703, 17437, 563, 2252, 513, 1788, 6069, 568, 968, 12047, 2970, 730, 547, 581, 14323, 5608, 646, 1767, 519, 2229, 1131, 1071, 1922, 1495, 621, 563, 1692, 1454, 798, 6046, 2371, 1942, 888, 763, 2949, 1942, 540, 6046, 1379, 568, 13380, 609, 824, 3029, 540, 1648, 267, 855, 6046, 2371, 616, 5393, 7199, 547, 1628, 563, 295, 1074, 2917, 595, 568, 4397, 547, 1942, 476, 3199, 260, 811, 982, 922, 3312, 11278, 3451, 16818, 6578, 563, 763, 2229, 13922, 513, 1007, 2883, 7616, 2203, 1223, 2759, 519, 1942, 540, 2104, 6046, 3785, 267, 1519, 12025, 6202, 595, 563, 1692, 1454, 786, 6046, 1648, 1942, 6800, 888, 1103, 476, 1001, 274, 267, 519, 2229, 8815, 547, 2628, 11278, 10844, 269, 2004, 829, 19251, 1177, 3430, 5662, 585, 670, 1074, 2917, 8672, 779, 5201, 267, 606, 2179, 799, 786, 4473, 609, 10637, 563, 7212, 713, 568, 1454, 2539, 982, 519, 1699, 3902, 540, 11278, 14065, 829, 19251, 1177, 3430, 5662, 267, 13915, 8044, 621, 779, 1869, 1932, 1454, 563, 1103, 476, 1001, 280, 267, 1354, 519, 2518, 1648, 6433, 14593, 5777, 909, 267, 5201, 1942, 11278, 2004, 829, 19251, 1177, 3430, 5662, 267, 865, 952, 5777, 8120, 547, 713, 1377, 267, 11278, 10844, 269, 2004, 1131, 581, 1360, 7199, 563, 1692, 1279, 798, 6046, 2371, 1491, 547, 1628, 888, 290, 761, 923, 540, 6046, 1379, 2161, 519, 1007, 2371, 786, 1491, 865, 1279, 547, 2097, 593, 6908, 789, 786, 581, 1932, 3735, 547, 948, 519, 5177, 2743, 922, 5434, 9072, 610, 2569, 1648, 5777, 585, 6800, 563, 295, 1074, 2917, 8672, 595, 568, 1079, 1296, 3297, 8430, 13148, 1813, 547, 519, 6855, 267, 543, 12025, 6202, 595, 568, 4397, 547, 1491, 8370, 1296, 547, 4020, 563, 3080, 540, 519, 2640, 540, 15382, 20745, 568, 602, 789, 616, 1454, 18334, 547, 4020, 982, 3677, 2371, 269, 0, 8368, 540, 12937, 454, 763, 2157, 540, 2963, 585, 2014, 3491, 6883, 2055, 454, 18814, 547, 513, 1804, 2179, 540, 1344, 1631, 2139, 593, 519, 5769, 267, 621, 814, 1831, 2556, 547, 1449, 519, 1249, 7081, 540, 1022, 1344, 1031, 538, 1382, 269, 1677, 798, 713, 267, 1022, 3409, 593, 1239, 568, 7318, 547, 10536, 2963, 547, 6961, 922, 14496, 269, 901, 1957, 11828, 519, 2157, 540, 2963, 540, 1614, 4930, 1031, 538, 513, 3105, 1957, 269, 1677, 3313, 519, 1377, 540, 2963, 540, 1142, 2376, 267, 519, 15796, 540, 6272, 4843, 676, 667, 12171, 269, 7971, 543, 595, 11053, 269, 23894, 630, 1001, 273, 264, 568, 1031, 563, 763, 2157, 540, 2963, 616, 513, 21249, 1062, 1031, 547, 7584, 519, 14496, 543, 7145, 540, 3621, 12326, 1759, 593, 875, 1454, 1344, 689, 2090, 543, 4930, 519, 8313, 1031, 269, 634, 2157, 540, 2963, 849, 957, 607, 606, 13525, 540, 875, 9244, 513, 1353, 1058, 581, 5227, 585, 1382, 563, 2467, 616, 5722, 2157, 540, 2963, 609, 1377, 594, 1373, 519, 1034, 4570, 543, 2500, 630, 303, 7035, 1299, 23894, 267, 476, 1001, 273, 1040, 1280, 513, 1353, 547, 20618, 607, 513, 1101, 1377, 540, 2963, 972, 1590, 723, 1044, 513, 1697, 13849, 20400, 540, 693, 2547, 1614, 19747, 4791, 8062, 630, 305, 6311, 338, 264, 543, 1875, 12690, 1242, 8062, 630, 310, 514, 7431, 3557, 2160, 267, 476, 1001, 278, 1040, 5426, 4083, 2115, 1152, 835, 681, 6311, 543, 835, 1875, 12690, 1242, 4693, 269, 634, 1985, 1377, 3340, 513, 9836, 2689, 540, 22423, 2090, 593, 519, 1482, 1888, 607, 519, 1353, 1247, 1377, 10001, 1152, 3340, 519, 2079, 540, 835, 12633, 908, 1353, 630, 295, 5803, 267, 476, 1001, 275, 1040, 634, 1985, 1079, 2157, 267, 1377, 966, 543, 17886, 267, 2154, 519, 2079, 540, 10855, 2090, 282, 2789, 2090, 538, 1377, 966, 543, 835, 1353, 538, 1377, 17886, 269, 634, 2063, 1377, 267, 1377, 23446, 267, 2115, 1152, 519, 4274, 6644, 540, 22265, 5515, 538, 602, 3621, 2361, 563, 23005, 1456, 519, 2157, 540, 2963, 454, 763, 1614, 4930, 896, 2689, 941, 782, 1031, 547, 3343, 513, 3070, 547, 519, 1966, 540, 519, 1072, 4220, 540, 9357, 1944, 2234, 9911, 538, 3782, 6703, 563, 1103, 24093, 543, 2657, 12186, 538, 21952, 18740, 12287, 6773, 630, 7079, 3954, 19161, 5937, 6359, 330, 1889, 6359, 518, 267, 2605, 902, 5937, 637, 523, 267, 1299, 590, 1663, 3438, 267, 476, 1001, 272, 1070, 8709, 3954, 19161, 5937, 6359, 330, 1889, 6359, 518, 267, 2605, 902, 5937, 637, 523, 267, 543, 590, 1663, 3438, 1865, 519, 2188, 538, 519, 5665, 4055, 602, 1223, 7654, 723, 2942, 2360, 593, 519, 2564, 5234, 538, 519, 5665, 4055, 269, 2290, 540, 891, 2188, 729, 5982, 7713, 519, 6165, 540, 713, 2376, 547, 3343, 513, 3070, 547, 519, 27069, 1966, 269, 1879, 10503, 519, 12191, 1031, 267, 519, 4589, 1533, 602, 789, 18928, 12649, 476, 2537, 12633, 908, 4930, 538, 6583, 4364, 799, 3769, 476, 1556, 2013, 2090, 593, 519, 1888, 630, 7079, 3954, 19161, 5937, 6359, 330, 1889, 6359, 518, 267, 2605, 902, 5937, 637, 523, 267, 1299, 590, 1663, 3438, 267, 476, 1001, 272, 1040, 9603, 547, 519, 4527, 540, 936, 1614, 2013, 2090, 1373, 9916, 267, 713, 2376, 31267, 519, 1101, 1377, 540, 2963, 563, 763, 1985, 2376, 1031, 729, 594, 517, 1944, 24658, 281, 26472, 8881, 585, 14904, 267, 6250, 6002, 267, 543, 16065, 630, 295, 691, 267, 476, 1220, 277, 1040, 769, 713, 2376, 267, 19134, 11828, 519, 2010, 540, 9357, 1944, 5982, 267, 519, 1981, 621, 6585, 547, 519, 1480, 1560, 607, 621, 568, 1031, 547, 1521, 2860, 2550, 543, 930, 3435, 547, 2569, 11991, 4598, 547, 11923, 269, 769, 1200, 1957, 267, 19134, 3096, 519, 2164, 5833, 689, 936, 4557, 22423, 2090, 593, 519, 1482, 1888, 540, 5982, 269, 19134, 8638, 519, 4539, 540, 5982, 607, 5833, 689, 519, 2689, 540, 2789, 2090, 269, 1717, 267, 24076, 538, 1200, 1957, 1281, 19134, 18928, 2689, 2250, 4791, 8062, 941, 2944, 593, 519, 1888, 269, 2060, 782, 713, 538, 2247, 267, 621, 666, 581, 11943, 602, 519, 2376, 729, 2854, 1210, 519, 3791, 1377, 540, 2963, 563, 15563, 568, 519, 2376, 24658, 22452, 543, 26616, 24919, 630, 23613, 1841, 517, 267, 476, 1001, 271, 1040, 769, 621, 267, 27672, 517, 6212, 593, 519, 991, 547, 2333, 4656, 593, 519, 1981, 547, 19353, 689, 5982, 5574, 267, 519, 1699, 5982, 2853, 1031, 543, 3435, 547, 2569, 713, 5739, 5982, 4598, 269, 769, 519, 7493, 267, 621, 568, 5018, 602, 519, 1239, 2707, 1031, 729, 2963, 2861, 3332, 538, 6211, 543, 1072, 5829, 4610, 630, 23613, 1841, 517, 267, 476, 1001, 271, 1040, 3143, 2446, 540, 4791, 8062, 729, 1500, 3056, 547, 713, 2376, 9991, 593, 1377, 2947, 540, 519, 15796, 563, 294, 879, 3101, 519, 14496, 543, 7145, 540, 513, 3621, 2376, 568, 1271, 547, 2327, 621, 666, 581, 1031, 607, 513, 6325, 2707, 269, 2290, 1259, 540, 3257, 713, 568, 547, 3313, 519, 1377, 540, 2963, 621, 1031, 2687, 547, 519, 2963, 15796, 540, 6272, 630, 303, 7035, 1299, 23894, 267, 476, 1001, 273, 1040, 634, 1101, 2376, 28439, 729, 24093, 543, 2657, 12186, 538, 21952, 18740, 12287, 6773, 630, 7079, 3954, 19161, 5937, 6359, 330, 1889, 6359, 518, 267, 2605, 902, 5937, 637, 523, 267, 1299, 590, 1663, 3438, 267, 476, 1001, 272, 264, 543, 729, 11943, 547, 581, 693, 1377, 835, 269, 634, 1985, 2376, 676, 19134, 630, 1220, 277, 264, 729, 5462, 547, 723, 1031, 1377, 8633, 2963, 1247, 519, 3791, 2376, 676, 27672, 517, 630, 1001, 271, 264, 8593, 883, 519, 11359, 1377, 563, 268, 19134, 267, 590, 269, 630, 1220, 277, 1040, 594, 517, 2358, 24658, 281, 26472, 8881, 585, 14904, 267, 6250, 6002, 267, 543, 16065, 269, 16711, 9208, 267, 476, 736, 630, 5325, 1070, 476, 5325, 268, 6812, 563, 268, 670, 5803, 267, 570, 269, 631, 269, 630, 1001, 275, 1040, 25947, 27159, 3414, 21111, 25085, 618, 693, 21846, 540, 5516, 281, 589, 12096, 10644, 5358, 585, 853, 6593, 18984, 643, 832, 269, 16362, 531, 19080, 267, 634, 1133, 951, 640, 540, 14151, 267, 5441, 540, 16711, 563, 268, 7971, 267, 667, 269, 674, 1421, 1299, 23894, 267, 595, 269, 570, 269, 630, 1001, 273, 1040, 16711, 3194, 281, 9198, 908, 543, 30487, 15845, 585, 16711, 6657, 630, 280, 628, 9990, 1196, 12175, 15740, 281, 700, 2089, 4532, 2714, 13879, 1299, 12070, 9469, 563, 268, 27672, 517, 267, 700, 269, 630, 1001, 271, 1040, 24658, 22452, 543, 26616, 24919, 269, 4750, 540, 519, 1977, 9142, 540, 29237, 31943, 619, 267, 476, 2420, 630, 275, 1070, 476, 9965, 268, 5952, 563, 268, 8709, 3954, 19161, 5937, 6359, 330, 1889, 6359, 518, 267, 631, 1421, 2605, 902, 5937, 637, 523, 267, 631, 1421, 1299, 590, 1663, 3438, 267, 808, 269, 630, 1001, 272, 1040, 24093, 543, 1072, 2360, 538, 5665, 4055, 10986, 269, 4518, 267, 476, 4375, 630, 274, 1070, 476, 28664, 268, 30306, 563, 268, 12736, 7431, 3557, 2160, 269, 630, 1001, 278, 267, 5988, 476, 273, 1040, 15845, 9122, 6657, 15484, 18145, 269, 8158, 4989, 476, 1704, 267, 476, 1001, 278, 267, 689, 11023, 22641, 654, 269, 918, 745, 1122, 518, 7732, 281, 5291, 2517, 12221, 7666, 1938, 269, 7773, 7431, 12975, 11305, 21703, 286, 326, 284, 14138, 1691, 261, 335, 284, 277, 1428, 10019, 0, 13971, 476, 1626, 267, 476, 1708, 271, 3683, 476, 5611, 271, 1296, 3516, 519, 8109, 543, 31970, 18179, 932, 11699, 590, 5902, 269, 901, 3381, 786, 1865, 741, 6498, 543, 4566, 585, 22653, 542, 563, 763, 476, 1839, 4759, 29559, 2221, 2099, 29842, 534, 267, 5345, 13370, 673, 267, 5131, 5783, 267, 8109, 18179, 543, 31970, 18179, 267, 17557, 543, 7826, 5389, 563, 7775, 628, 13454, 17194, 267, 513, 7936, 540, 17194, 476, 1001, 280, 268, 4905, 268, 1691, 5788, 8109, 18179, 2259, 29080, 676, 2407, 21599, 269, 661, 1276, 30658, 281, 634, 661, 1276, 30658, 568, 519, 4099, 540, 10847, 269, 8109, 18179, 3494, 602, 1282, 519, 661, 1276, 30658, 740, 6254, 338, 851, 820, 7793, 1227, 540, 2441, 781, 1560, 543, 1973, 543, 998, 621, 4309, 1010, 1272, 543, 4222, 269, 476, 1708, 272, 268, 6734, 268, 6349, 5788, 18179, 14914, 568, 519, 1034, 1713, 543, 10723, 4005, 540, 519, 8109, 4168, 5939, 781, 11706, 269, 634, 5993, 9702, 5161, 540, 513, 3126, 540, 16873, 610, 1940, 762, 905, 6814, 16033, 908, 519, 2669, 543, 24446, 540, 4906, 2441, 269, 5375, 5288, 563, 268, 4787, 520, 974, 591, 8208, 911, 19241, 3512, 324, 512, 903, 330, 1633, 476, 1708, 272, 454, 268, 654, 335, 6447, 1617, 13308, 454, 268, 3331, 482, 526, 571, 12563, 321, 758, 325, 23152, 902, 611, 816, 22619, 454, 268, 1975, 2632, 534, 753, 7238, 16988, 476, 3821, 575, 7238, 974, 321, 3073, 454, 268, 966 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1345, 880, 1145, 563, 288, 4687, 1268, 1522, 2119, 547, 7941, 909, 711, 1175, 519, 14735, 267, 855, 849, 782, 519, 1426, 538, 1010, 21067, 2443, 1175, 547, 581, 2386, 3025, 568, 10480, 10756, 1432, 1826, 540, 8231, 568, 2671, 888, 3333, 732, 1945, 609, 2576, 281, 594, 2671, 713, 6366, 609, 2947, 824, 1004, 269, 1284, 2671, 5539, 585, 5870, 519, 9072, 16634, 3333, 732, 26479, 543, 14271, 11618, 1459, 13029, 335, 770, 512, 5151, 327, 1563, 335, 770, 1300, 328, 1255, 327, 1563, 274, 811, 9343, 454, 3674, 621, 2953, 547, 2161, 676, 14182, 888, 2791, 1223, 2161, 835, 540, 1079, 1919, 281, 594, 786, 4483, 519, 2179, 14182, 269, 594, 786, 4483, 519, 2179, 676, 14182, 269, 634, 1101, 6920, 602, 519, 4483, 786, 2049, 14182, 4010, 563, 3674, 2671, 513, 8231, 610, 10902, 888, 263, 22209, 787, 476, 272, 540, 476, 274, 264, 1098, 1438, 8231, 269, 476, 272, 320, 2433, 547, 851, 820, 540, 267, 946, 267, 1995, 267, 19582, 267, 610, 2972, 609, 1866, 269, 536, 2433, 547, 723, 538, 1455, 789, 2671, 513, 6612, 585, 22968, 563, 1432, 779, 1776, 2262, 585, 4687, 1344, 888, 1432, 568, 1776, 2262, 585, 1344, 4687, 286, 11907, 4687, 32474, 5385, 23890, 1410, 4219, 454, 3674, 621, 4687, 568, 12391, 610, 12391, 568, 4687, 888, 3333, 2130, 568, 12391, 568, 513, 1455, 8360, 855, 1185, 513, 2462, 2495, 602, 950, 649, 2671, 1945, 609, 2576, 3116, 621, 568, 3160, 547, 12391, 1864, 563, 3674, 4258, 30514, 513, 2262, 888, 3849, 11187, 269, 589, 1076, 547, 581, 1750, 1229, 909, 563, 1432, 568, 1776, 2262, 585, 2671, 888, 1432, 568, 1776, 2262, 585, 2671, 286, 1952, 10407, 718, 11229, 12328, 909, 3333, 732, 7979, 582, 323, 1204, 18855, 324, 856, 15251, 15965, 728, 856, 326, 633, 5780, 811, 9343, 454, 1692, 798, 596, 11963, 2671, 762, 888, 28557, 10259, 585, 519, 2296, 2262, 968, 3333, 732, 762, 892, 568, 1496, 390, 481, 16659, 324, 393, 350, 16745, 389, 373, 16745, 321, 16745, 393, 350, 331, 3910, 1496, 390, 481, 16659, 324, 16745, 389, 373, 16745, 321, 16745, 331, 3910, 1496, 390, 481, 318, 16659, 324, 16745, 318, 389, 373, 318, 16745, 10734, 318, 16745, 331, 316, 630, 296, 5183, 13093, 2045, 9904, 1916, 1432, 568, 606, 1383, 540, 4687, 888, 4537, 2130, 568, 26084, 267, 610, 15603, 2576, 3116, 946, 707, 6712, 540, 1945, 269, 1323, 1383, 540, 4687, 568, 1079, 1453, 4730, 23182, 1927, 609, 513, 14903, 269, 630, 272, 264, 6423, 5769, 4687, 543, 695, 1861, 532, 563, 4692, 596, 2161, 593, 14182, 888, 16485, 634, 15503, 1923, 3231, 1676, 779, 9218, 269, 634, 2453, 968, 517, 14182, 2223, 968, 517, 2221, 2223, 543, 968, 517, 19108, 892, 616, 4122, 4862, 538, 519, 7013, 3148, 540, 519, 2136, 2276, 269, 1358, 616, 11807, 538, 13680, 4633, 543, 824, 13016, 8658, 267, 855, 1058, 711, 581, 1031, 538, 6101, 8658, 971, 607, 4081, 1603, 563, 1692, 798, 596, 1118, 513, 9365, 2022, 2671, 762, 888, 2791, 666, 1689, 7834, 5468, 593, 606, 1367, 2022, 602, 596, 1616, 547, 1118, 2671, 762, 676, 14467, 519, 968, 7468, 643, 2329, 892, 12835, 1985, 547, 519, 2022, 942, 16826, 543, 8939, 2901, 968, 293, 12188, 892, 610, 968, 14276, 1848, 8564, 968, 293, 12188, 892, 952, 596, 1616, 2828, 547, 581, 2111, 547, 2671, 519, 2022, 610, 2824, 968, 14276, 892, 952, 596, 1616, 4896, 547, 581, 2111, 547, 1294, 519, 2022, 563, 1432, 1281, 519, 2262, 2671, 1611, 888, 18704, 267, 851, 820, 267, 7119, 1611, 547, 6443, 609, 1866, 610, 547, 4309, 538, 1455, 609, 1866, 269, 1677, 2671, 568, 547, 2285, 610, 4309, 513, 851, 540, 1945, 267, 610, 547, 2972, 610, 8263, 1945, 538, 1455, 281, 547, 2671, 538, 1776, 779, 2833, 563, 1692, 798, 649, 946, 14182, 888, 25402, 6563, 4845, 1806, 290, 727, 547, 803, 14182, 6640, 269, 2560, 8751, 6563, 568, 8285, 6640, 269, 2560, 901, 568, 1018, 594, 1616, 596, 547, 798, 14182, 6640, 269, 2560, 898, 1131, 581, 1655, 547, 3346, 1230, 22448, 14182, 543, 2995, 1200, 711, 547, 6494, 13875, 269, 2560, 9282, 594, 1223, 2141, 7227, 2394, 14182, 267, 1310, 14730, 2106, 9388, 609, 596, 269, 2560, 1656, 14182, 568, 513, 1279, 1554, 21457, 3688, 7498, 1432, 568, 1776, 2262, 585, 14182, 888, 1432, 568, 1776, 2262, 585, 14182, 286, 534, 1180, 1311, 569, 26078, 1836, 26211, 569, 22792, 332, 30291, 3320, 12898, 1189, 28785, 29592, 1279, 9404, 2664, 2299, 4649, 811, 9343, 454, 1432, 568, 519, 2407, 1106, 540, 4687, 888, 6781, 12934, 2747, 2433, 15562, 22664, 15562, 22664, 1107, 13907, 1489, 585, 3758, 4687, 269, 15562, 22664, 1107, 6611, 13749, 14333, 623, 6559, 11628, 24658, 27100, 269, 15562, 22664, 1107, 6611, 13749, 14333, 623, 6559, 11628, 24658, 563, 1432, 1281, 519, 2262, 540, 1611, 888, 263, 22209, 787, 476, 272, 540, 476, 274, 264, 476, 272, 2443, 4310, 607, 513, 1599, 2262, 547, 5815, 513, 1448, 540, 22672, 11238, 333, 2180, 540, 519, 10720, 269, 476, 273, 320, 2443, 4310, 607, 513, 1599, 2262, 547, 5815, 5169, 610, 8174, 566, 320, 812, 540, 15626, 4332, 269, 536, 2443, 4310, 607, 513, 1599, 2262, 547, 5815, 519, 2014, 267, 30254, 267, 610, 556, 553, 1180, 1221, 540, 2770, 269, 0, 299, 996, 860, 3821, 267, 610, 519, 17418, 547, 11291, 513, 2262, 267, 4523, 547, 3592, 3025, 693, 930, 1448, 269, 2755, 971, 2152, 1058, 2141, 581, 16913, 267, 621, 12582, 1406, 581, 513, 2707, 540, 6161, 8259, 621, 4523, 4749, 543, 3322, 711, 19551, 5432, 4408, 267, 4025, 543, 2621, 563, 763, 2702, 547, 1445, 543, 13404, 666, 1831, 811, 2352, 1107, 621, 779, 851, 540, 519, 2067, 10172, 1184, 269, 1717, 267, 621, 849, 666, 581, 513, 1129, 540, 519, 12614, 540, 7646, 5042, 15717, 269, 18641, 267, 972, 616, 2081, 547, 2226, 543, 1256, 2087, 5834, 607, 649, 2085, 563, 10932, 814, 1336, 513, 4276, 1063, 4017, 668, 9234, 22468, 543, 5042, 2152, 971, 607, 3965, 2530, 543, 7965, 609, 10324, 1599, 269, 2368, 8323, 1522, 581, 2139, 676, 1818, 6197, 2242, 547, 2087, 3207, 543, 1205, 2834, 3635, 563, 8138, 11187, 5042, 15717, 630, 306, 5746, 264, 568, 513, 2165, 1031, 547, 4766, 1582, 3146, 19959, 4191, 540, 7646, 5042, 15717, 269, 2755, 1382, 568, 711, 598, 5477, 267, 621, 779, 8797, 547, 2141, 1867, 1022, 5571, 5042, 2152, 547, 707, 4387, 269, 0, 763, 476, 2918, 628, 645, 5425, 10985, 593, 5274, 8950, 19983, 630, 295, 5746, 994, 14549, 8950, 19983, 454, 1321, 910, 476, 1691, 5181, 476, 1001, 273, 454, 2467, 616, 513, 1297, 540, 6932, 4441, 543, 4808, 799, 948, 519, 1357, 17354, 610, 1565, 1099, 6048, 3132, 8537, 11979, 543, 6422, 4950, 1700, 22372, 3156, 799, 786, 2743, 519, 2115, 540, 3755, 267, 7488, 540, 741, 2027, 2115, 610, 1367, 4170, 269, 1452, 4441, 543, 4808, 3335, 8263, 602, 519, 2115, 540, 519, 1367, 3593, 616, 1134, 3989, 267, 602, 519, 1599, 540, 519, 1357, 3498, 568, 2312, 543, 602, 3617, 14624, 666, 581, 11593, 4294, 269, 1717, 713, 849, 12662, 513, 5230, 11411, 593, 519, 1983, 543, 1702, 540, 519, 17354, 543, 14543, 547, 3351, 1047, 519, 6791, 540, 21493, 543, 824, 2818, 540, 519, 2146, 585, 1018, 568, 5732, 513, 1360, 2647, 2039, 540, 3755, 543, 1367, 2115, 543, 4170, 269, 9182, 713, 1382, 5267, 606, 1935, 799, 10905, 519, 2640, 540, 1210, 18005, 9138, 4441, 2861, 3334, 538, 519, 1106, 540, 654, 274, 290, 654, 573, 12033, 543, 7457, 1043, 6762, 5769, 10241, 630, 2752, 8656, 264, 609, 513, 7991, 1700, 28495, 1042, 5071, 1935, 1759, 593, 519, 5177, 808, 3041, 290, 14102, 3785, 654, 22432, 630, 310, 573, 12033, 585, 32213, 20518, 3176, 2037, 4921, 264, 543, 654, 2839, 294, 320, 307, 630, 320, 654, 573, 1326, 589, 3578, 1681, 15484, 18145, 1040, 901, 960, 3029, 851, 540, 513, 9962, 1382, 1888, 593, 22537, 2123, 552, 1700, 14048, 543, 552, 2173, 4215, 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 ]
[ 0, 2162, 10558, 22647, 569, 692, 306, 754, 519, 3095, 2630, 3842, 4757, 610, 22558, 692, 1892, 12833, 1243, 5304, 2818, 786, 1246, 596, 607, 596, 6330, 543, 1459, 454, 1892, 4658, 14376, 547, 513, 6881, 798, 711, 991, 513, 2776, 17844, 2272, 454, 1892, 901, 3095, 1163, 2231, 476, 1015, 3764, 1310, 596, 2673, 519, 6881, 692, 2710, 596, 2731, 1616, 547, 18419, 713, 840, 17844, 2496, 10468, 2416, 596, 267, 6862, 519, 1071, 539, 6002, 596, 3838, 621, 609, 786, 581, 2111, 547, 9156, 621, 1586, 780, 258, 8617, 12443, 326, 976, 692, 5591, 6609, 454, 2421, 692, 1012, 6004, 20917, 1442, 692, 517, 476, 2641, 5437, 476, 1001, 278, 692, 27751, 6057, 692, 2971, 3690, 5296, 540, 8617, 12443, 326, 976, 692, 19894, 12443, 326, 976, 454, 1805, 6621, 454, 288, 546, 1712, 322, 6782, 568, 519, 1697, 2012, 585, 513, 476, 1321, 21758, 3337, 780, 1692, 1082, 5232, 1131, 581, 538, 513, 546, 1712, 322, 6782, 538, 2698, 2496, 5472, 519, 7285, 538, 519, 546, 1712, 322, 6782, 616, 519, 1482, 2450, 269, 1215, 2462, 1131, 1142, 5086, 581, 888, 3963, 616, 519, 16538, 7285, 630, 5658, 539, 552, 264, 519, 1482, 607, 519, 8998, 7285, 630, 5658, 539, 524, 25145, 299, 20166, 269, 910, 1677, 1265, 9703, 543, 16538, 7285, 538, 2834, 29977, 563, 8340, 519, 2450, 540, 606, 16538, 543, 9703, 5086, 538, 713, 2834, 12354, 6782, 563, 14611, 11314, 454, 8340, 519, 2450, 540, 513, 2582, 16538, 543, 454, 5793, 1640, 5086, 538, 1142, 4605, 563, 324, 454, 1692, 2462, 454, 529, 519, 2040, 540, 454, 1492, 7285, 6825, 524, 2496, 1432, 1281, 713, 2161, 827, 519, 2040, 540, 519, 16538, 7285, 888, 322, 454, 322, 454, 322, 454, 322, 454, 322, 454, 322, 454, 324, 454, 324, 454, 324, 454, 324, 454, 324, 454, 324, 454, 763, 16538, 7285, 540, 513, 20372, 2040, 547, 476, 11740, 454, 324, 815, 476, 11740, 14672, 454, 3602, 562, 815, 1297, 540, 5011, 454, 14611, 11314, 454, 8340, 519, 2450, 540, 513, 2582, 16538, 543, 454, 5793, 1640, 5086, 538, 1142, 4605, 563, 2568, 454, 6344, 454, 3445, 454, 3445, 454, 7761, 454, 10482, 454, 2568, 454, 6344, 454, 7906, 269, 275, 2764, 6872, 2483, 12553, 269, 6872, 272, 275, 2483, 3393, 454, 13670, 454, 2412, 454, 9610, 454, 3607, 454, 13893, 454, 3963, 616, 519, 16538, 7285, 630, 5658, 539, 552, 264, 519, 1482, 607, 519, 8998, 7285, 630, 5658, 539, 524, 25145, 324, 454, 1692, 2462, 454, 529, 519, 2040, 540, 454, 1492, 7285, 6825, 524, 888, 11740, 5232, 454, 1432, 1281, 713, 2161, 827, 519, 2040, 540, 519, 16538, 7285, 888, 9827, 692, 11740, 454, 322, 454, 322, 454, 322, 454, 322, 454, 322, 454, 322, 454, 334, 454, 8340, 519, 2450, 540, 606, 16538, 543, 9703, 5086, 538, 713, 2834, 12354, 6782, 563, 11740, 270, 279, 454, 284, 476, 3393, 454, 5197, 910, 476, 3393, 454, 284, 476, 13670, 454, 1805, 6621, 454, 288, 546, 1712, 322, 6782, 568, 519, 1697, 2012, 585, 513, 476, 1321, 21758, 3337, 780, 1692, 1082, 12730, 1131, 513, 546, 1712, 322, 6782, 2736, 1524, 454, 20041, 888, 1321, 692, 1692, 1082, 5232, 1131, 581, 538, 513, 546, 1712, 322, 6782, 538, 2698, 888, 1321, 1535, 476, 5197, 910, 476, 11740, 815, 476, 5197, 271, 5232, 454, 1692, 1131, 707, 4267, 1689, 952, 594, 4957, 546, 1712, 322, 6782, 585, 31625, 6782, 630, 1911, 271, 5011, 25145, 1911, 271, 1535, 476, 5197, 910, 476, 11740, 815, 476, 9692, 25953, 5232, 454, 13480, 539, 454, 7078, 692, 13480, 539, 454, 7078, 692, 7659, 454, 14300, 692, 8002, 8481, 454, 12244, 692, 5611, 454, 334, 454, 763, 6516, 2982, 1079, 5011, 540, 513, 2834, 454, 335, 8432, 12455, 267, 9674, 676, 606, 5086, 540, 476, 5611, 5232, 780, 13480, 856, 519, 1297, 540, 5011, 540, 519, 20372, 563, 5611, 454, 334, 454, 763, 6516, 2982, 1079, 5011, 540, 513, 2834, 454, 335, 8432, 12455, 267, 9674, 676, 606, 5086, 540, 476, 5611, 5232, 780, 13480, 856, 519, 1297, 540, 5011, 540, 519, 20372, 563, 2750, 10262, 5086, 815, 476, 1789, 5232, 563, 11740, 270, 1789, 815, 476, 1321, 5011, 563, 14611, 11314, 454, 8340, 519, 2450, 540, 782, 519, 7285, 538, 713, 4605, 454, 14611, 11314, 454, 17359, 13973, 0, 258, 5565, 667, 7645, 18289, 692, 3674, 972, 606, 3830, 602, 3947, 519, 8880, 3845, 24964, 540, 606, 1843, 15810, 693, 606, 5086, 630, 9064, 264, 609, 606, 3355, 6991, 630, 309, 271, 264, 543, 2016, 602, 519, 1843, 3338, 630, 344, 264, 1657, 270, 10964, 578, 1141, 621, 729, 9250, 2496, 12552, 692, 16665, 4033, 8212, 11762, 5240, 593, 4284, 3820, 454, 295, 718, 810, 325, 296, 11803, 454, 29094, 4477, 704, 454, 8170, 1576, 269, 3807, 946, 519, 1482, 4834, 596, 1131, 952, 519, 13941, 1448, 941, 593, 519, 1482, 1377, 1384, 343, 284, 642, 271, 6523, 263, 15184, 264, 339, 267, 586, 284, 642, 271, 7562, 263, 15184, 264, 339, 268, 630, 326, 270, 273, 264, 339, 273, 780, 4131, 586, 271, 581, 519, 4463, 540, 519, 13941, 1448, 3448, 547, 519, 4358, 1448, 630, 271, 568, 1482, 1377, 267, 2942, 952, 2630, 267, 2318, 952, 1657, 1040, 16534, 454, 344, 284, 642, 271, 7562, 263, 15184, 264, 339, 268, 630, 326, 270, 273, 264, 339, 273, 284, 586, 271, 585, 512, 269, 630, 2791, 786, 1205, 1079, 3435, 519, 942, 585, 519, 13941, 568, 519, 3677, 540, 519, 1079, 1916, 2330, 339, 284, 1422, 2765, 28452, 318, 271, 7562, 7268, 9064, 264, 10954, 6912, 28452, 318, 271, 317, 273, 7562, 317, 273, 7268, 9064, 9984, 273, 4445, 318, 271, 12453, 326, 28021, 3086, 2322, 602, 1871, 540, 512, 538, 519, 3830, 585, 1535, 630, 2224, 519, 2318, 1129, 585, 519, 3597, 547, 1205, 519, 3677, 540, 519, 1079, 3435, 2187, 2330, 343, 284, 642, 318, 271, 6523, 7268, 9064, 9385, 2765, 28452, 318, 271, 7562, 7268, 9064, 264, 10954, 6912, 28452, 318, 271, 317, 273, 7562, 317, 273, 7268, 9064, 9984, 273, 4445, 318, 271, 12453, 326, 15732, 288, 3787, 811, 7294, 982, 519, 2013, 586, 271, 284, 476, 271, 855, 1869, 513, 4570, 4542, 269, 18564, 602, 950, 586, 271, 284, 476, 271, 602, 6971, 547, 454, 2330, 343, 284, 1422, 2765, 346, 273, 341, 318, 271, 7562, 7268, 9064, 264, 6523, 7268, 9064, 20972, 326, 28021, 1492, 8912, 4542, 780, 296, 1131, 2015, 621, 4443, 547, 4194, 519, 4834, 982, 547, 27655, 602, 4542, 780, 8310, 12995, 676, 513, 15645, 1807, 912, 303, 7564, 7564, 961, 1731, 330, 7238, 454, 29094, 4477, 704, 454, 763, 2063, 3830, 630, 3602, 586, 271, 815, 476, 271, 264, 1058, 581, 454, 2330, 343, 284, 1422, 2765, 346, 273, 341, 318, 271, 317, 273, 7562, 7268, 9064, 264, 6523, 7268, 9064, 20972, 326, 28021, 263, 2254, 823, 519, 642, 6349, 994, 7617, 29776, 547, 1384, 2330, 343, 284, 1422, 2765, 28452, 318, 271, 317, 273, 7562, 263, 273, 1422, 9064, 20972, 326, 15732, 8310, 12995, 281, 0, 258, 14581, 6435, 281, 21676, 9482, 16070, 11610, 692, 272, 269, 4455, 476, 279, 267, 476, 1220, 278, 692, 2162, 12124, 311, 5142, 529, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 692, 25669, 519, 13745, 16070, 11610, 14802, 8063, 585, 1079, 533, 12836, 568, 3230, 347, 21854, 272, 285, 21974, 594, 993, 4280, 547, 7500, 593, 519, 14802, 8063, 609, 3230, 299, 317, 273, 2330, 543, 3230, 299, 3709, 345, 6525, 547, 13182, 3230, 27476, 9681, 273, 269, 31999, 4834, 692, 2330, 299, 317, 273, 815, 700, 318, 272, 317, 273, 1341, 299, 318, 273, 317, 273, 1341, 273, 299, 3709, 272, 345, 348, 299, 3709, 273, 345, 15396, 263, 299, 3709, 272, 266, 348, 299, 3709, 273, 268, 15396, 299, 3709, 272, 268, 348, 299, 3709, 273, 266, 16585, 9681, 2330, 299, 3709, 266, 348, 1923, 331, 31599, 285, 284, 347, 331, 31599, 266, 272, 285, 16465, 2330, 299, 3709, 268, 348, 1923, 331, 31599, 285, 284, 347, 331, 31599, 268, 272, 285, 9681, 292, 3394, 11161, 912, 2330, 299, 317, 273, 7807, 327, 8663, 317, 273, 561, 10857, 266, 272, 14638, 454, 2330, 299, 318, 345, 7807, 327, 8663, 544, 9681, 274, 269, 634, 3801, 693, 513, 3070, 692, 8794, 1384, 2330, 299, 317, 273, 815, 700, 318, 272, 317, 273, 1341, 299, 318, 273, 317, 273, 1341, 273, 299, 3709, 272, 345, 348, 299, 3709, 273, 345, 15396, 263, 299, 3709, 272, 266, 348, 299, 3709, 273, 268, 15396, 299, 3709, 272, 268, 348, 299, 3709, 273, 266, 16585, 347, 21854, 272, 285, 9681, 296, 3893, 621, 1524, 547, 1384, 2330, 273, 1422, 327, 8663, 1923, 1556, 285, 347, 1556, 285, 266, 273, 1422, 327, 8663, 1923, 1556, 285, 347, 1556, 285, 266, 273, 1422, 327, 8663, 1923, 1556, 285, 347, 1556, 285, 266, 347, 1321, 285, 347, 1015, 285, 266, 347, 1015, 285, 347, 1321, 285, 9681, 296, 7058, 1250, 2243, 568, 875, 547, 5173, 1923, 1015, 285, 347, 1321, 285, 543, 1923, 1321, 285, 347, 1015, 285, 543, 952, 1923, 1015, 285, 347, 1321, 285, 284, 347, 1321, 285, 347, 1015, 285, 284, 271, 543, 1946, 2496, 9827, 267, 594, 729, 11842, 1946, 3230, 347, 21854, 272, 285, 284, 290, 3709, 1556, 348, 347, 1556, 285, 347, 1556, 285, 2330, 543, 711, 3230, 347, 21854, 272, 285, 284, 290, 3709, 6349, 348, 347, 1015, 285, 347, 1321, 285, 266, 290, 3709, 736, 348, 347, 1321, 285, 347, 1015, 285, 266, 290, 3709, 1321, 348, 347, 1556, 285, 347, 1556, 285, 9681, 628, 3471, 2676, 5060, 692, 8310, 12995, 281, 4455, 476, 279, 267, 476, 1220, 278, 0, 19733, 5303, 692, 258, 10803, 543, 17438, 1315, 17438, 543, 29896, 692, 12244, 476, 1428, 540, 476, 2190, 454, 1103, 713, 3992, 267, 1053, 946, 513, 11191, 547, 2445, 1239, 543, 7447, 17831, 585, 513, 1483, 3510, 267, 538, 799, 519, 7811, 17831, 616, 711, 6654, 780, 1012, 12020, 543, 8249, 692, 11917, 16633, 454, 10743, 3442, 606, 3617, 2203, 547, 18082, 513, 4960, 6364, 269, 1358, 5431, 519, 3017, 1063, 519, 5817, 3889, 540, 4960, 2621, 602, 723, 513, 9138, 1297, 540, 10221, 1431, 8957, 4960, 2621, 538, 799, 519, 1297, 540, 10221, 1431, 9775, 4470, 593, 519, 7355, 585, 1967, 780, 309, 665, 5879, 454, 719, 2492, 454, 22238, 1464, 454, 13678, 1637, 692, 24092, 1384, 1012, 7689, 10965, 2355, 14653, 692, 2971, 4197, 692, 2691, 7811, 5506, 3631, 616, 2352, 547, 1020, 267, 513, 11191, 2203, 666, 581, 1031, 547, 2445, 1239, 543, 7447, 17831, 585, 513, 1483, 3510, 602, 568, 1950, 543, 1141, 519, 7811, 17831, 616, 711, 6654, 780, 2162, 1548, 547, 1413, 585, 692, 10743, 1058, 7747, 602, 4960, 786, 2272, 585, 930, 13260, 267, 855, 2949, 519, 9193, 540, 519, 5506, 540, 1967, 689, 20533, 14778, 1058, 581, 9425, 2673, 267, 3177, 519, 1297, 540, 10221, 1431, 568, 9425, 1804, 780, 2162, 12726, 10495, 692, 7617, 540, 519, 1739, 1223, 581, 1031, 547, 2203, 513, 476, 2004, 260, 4960, 538, 513, 4259, 909, 513, 11191, 2496, 320, 269, 513, 1297, 13306, 1141, 519, 8188, 476, 272, 267, 476, 273, 267, 543, 476, 274, 6719, 513, 1967, 543, 8188, 476, 275, 267, 476, 276, 267, 543, 476, 277, 513, 5821, 563, 321, 269, 19184, 532, 1079, 11113, 543, 3478, 1079, 9843, 563, 322, 269, 513, 8095, 1676, 609, 476, 1015, 4525, 267, 1141, 476, 272, 547, 476, 277, 6719, 513, 1967, 543, 476, 278, 547, 476, 1015, 513, 5821, 563, 323, 269, 513, 16064, 540, 6486, 1141, 12271, 6719, 513, 1967, 269, 0, 258, 23113, 22217, 1881, 692, 1012, 29486, 4696, 13673, 268, 4629, 7473, 292, 692, 20606, 476, 6187, 267, 476, 1708, 271, 17397, 676, 3474, 880, 603, 808, 18885, 692, 1012, 1548, 4523, 547, 519, 4452, 4294, 547, 513, 2497, 2496, 2662, 7241, 519, 4452, 799, 6411, 593, 519, 2497, 6038, 13290, 547, 3914, 519, 2666, 689, 922, 1448, 540, 3498, 269, 1772, 711, 621, 2496, 1607, 2619, 568, 1572, 968, 299, 1933, 11202, 892, 780, 9617, 4952, 267, 596, 616, 8977, 532, 689, 707, 9036, 543, 862, 5024, 547, 707, 1753, 780, 1432, 786, 581, 519, 1101, 3364, 596, 798, 282, 596, 1265, 707, 7154, 540, 6283, 630, 25669, 11332, 264, 543, 13290, 547, 4137, 856, 519, 8905, 547, 3914, 707, 10278, 267, 1318, 286, 1703, 949, 581, 1896, 11507 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 280, 281, 4197, 13458, 20761, 538, 24410, 16940, 19791, 692, 5970, 596, 2479, 4862, 827, 7526, 8345, 538, 1114, 2694, 540, 519, 1158, 286, 9320, 596, 4312, 2938, 621, 593, 519, 3377, 1107, 1004, 8165, 267, 22551, 532, 267, 610, 1256, 9292, 1154, 1142, 824, 269, 898, 666, 581, 17559, 267, 1318, 286, 1809, 1018, 952, 649, 5143, 596, 972, 616, 12703, 2367, 543, 2021, 2324, 2182, 547, 3247, 891, 24515, 543, 3142, 4708, 1394, 547, 1346, 4025, 286, 1358, 616, 1634, 607, 834, 701, 864, 28265, 619, 2437, 543, 2221, 267, 649, 786, 1451, 782, 827, 873, 2439, 5575, 267, 1577, 781, 1174, 1946, 930, 2127, 1995, 5208, 267, 2523, 1282, 12836, 269, 5994, 1079, 2516, 540, 2828, 16462, 547, 1831, 3401, 538, 741, 1153, 269, 1403, 789, 1312, 1616, 547, 3094, 543, 1810, 1405, 3858, 593, 875, 547, 6023, 1919, 9425, 267, 7440, 1522, 2736, 856, 269, 6884, 267, 891, 22195, 666, 2490, 883, 2168, 24515, 267, 4929, 14784, 538, 519, 1153, 12881, 269, 901, 3510, 666, 581, 3379, 547, 9550, 5208, 538, 1978, 4525, 1141, 2797, 6735, 5012, 547, 804, 10449, 1851, 18793, 269, 2290, 971, 1747, 568, 1572, 513, 834, 32718, 13607, 2437, 799, 2833, 7368, 13685, 540, 4655, 780, 3086, 267, 4952, 1373, 513, 4708, 28265, 518, 3843, 547, 948, 891, 3659, 2516, 1205, 2059, 1732, 269, 1411, 1131, 991, 547, 6432, 5402, 547, 3025, 779, 4145, 267, 5000, 16614, 7391, 267, 543, 2097, 909, 609, 4023, 3435, 1927, 269, 2334, 779, 4010, 1018, 4708, 28265, 619, 798, 950, 7231, 609, 9550, 5208, 28326, 26105, 256, 1358, 4497, 609, 2146, 2818, 267, 4001, 12560, 2081, 540, 20547, 13882, 267, 543, 3895, 1620, 1063, 1585, 2516, 269, 1635, 3257, 865, 267, 3972, 543, 10103, 7444, 1376, 547, 1332, 1586, 780, 4131, 781, 1413, 693, 513, 1483, 3734, 1383, 281, 918, 756, 5028, 267, 15057, 269, 4438, 519, 476, 1220, 278, 268, 1001, 274, 1974, 267, 918, 756, 5028, 729, 2808, 513, 5906, 1747, 1813, 547, 7928, 17061, 540, 5208, 1282, 12836, 269, 1717, 267, 5462, 4708, 28265, 619, 22283, 538, 543, 3459, 2324, 24091, 7258, 2199, 7264, 269, 8625, 267, 789, 6896, 11925, 3450, 4655, 6571, 1983, 267, 3964, 8378, 4585, 3292, 5009, 3106, 267, 543, 2813, 1857, 1148, 10525, 14120, 9322, 269, 1452, 3646, 8329, 3648, 2509, 4227, 13253, 1369, 918, 756, 5028, 543, 5807, 1279, 18835, 3347, 1063, 922, 3309, 11317, 780, 6826, 5765, 513, 4708, 28265, 518, 3085, 1405, 2154, 2027, 7060, 282, 4896, 666, 3565, 547, 2870, 513, 811, 12560, 1604, 1472, 873, 256, 1306, 3214, 267, 1934, 616, 930, 2241, 3268, 596, 1223, 1491, 1384, 272, 269, 6657, 3742, 6947, 281, 12315, 707, 2407, 3007, 547, 1866, 1247, 789, 3717, 267, 1397, 6568, 267, 543, 31831, 689, 14443, 532, 269, 15765, 6947, 2337, 1628, 6793, 4296, 543, 11151, 21390, 563, 273, 269, 11559, 16542, 281, 1879, 5185, 609, 2591, 267, 7618, 3054, 543, 1866, 602, 9316, 6770, 1967, 543, 18791, 7554, 1063, 2043, 563, 274, 269, 9523, 11587, 281, 9524, 1507, 6411, 540, 11587, 3232, 910, 5360, 2939, 2576, 267, 2671, 707, 9162, 267, 610, 3274, 12837, 693, 513, 24928, 269, 9877, 1145, 19082, 3533, 543, 5932, 2318, 1648, 563, 275, 269, 5776, 909, 1996, 11648, 281, 8081, 9601, 676, 8989, 8320, 540, 11648, 547, 11967, 4079, 543, 4478, 519, 6408, 609, 2648, 543, 1416, 2394, 948, 21128, 563, 276, 269, 6258, 827, 1114, 4529, 281, 3367, 2835, 267, 4585, 9413, 267, 7390, 2686, 2621, 267, 543, 2119, 3536, 689, 1472, 519, 8608, 269, 2561, 21090, 543, 2463, 585, 4763, 6536, 8537, 2950, 780, 3528, 8026, 891, 6208, 267, 596, 1932, 666, 1404, 513, 1909, 538, 2679, 4708, 16382, 596, 979, 256, 5457, 267, 1169, 2370, 2962, 12523, 267, 543, 1927, 267, 649, 666, 1711, 513, 17321, 2104, 4904, 609, 8296, 543, 1620, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7419, 4353, 8991, 14510, 5508, 715, 9590, 4629, 10292, 27486, 2316, 307, 7473, 292, 5508, 667, 7709, 299, 6865, 3722, 312, 6730, 29206, 2793, 3582, 3201, 22295, 22494, 645, 3722, 4047, 299, 3036, 5508, 8121, 4811, 5442, 29206, 2793, 3582, 3201, 22295, 22494, 298, 302, 312, 296, 2207, 670, 6579, 6395, 631, 6579, 298, 2752, 6858, 270, 31079, 6187, 270, 1001, 276, 305, 2464, 292, 24086, 11550, 297, 17614, 11053, 8008, 2975, 281, 645, 308, 6579, 291, 5058, 18027, 19781, 5442, 661, 28421, 3582, 17886, 5357, 9970, 32764, 4811, 17269, 4811, 5442, 298, 2894, 312, 288, 281, 589, 595, 17955, 29898, 5508, 918, 296, 21612, 288, 476, 1220, 279, 268, 1001, 274, 6185, 4488, 299, 2752, 9569, 1607, 1788, 568, 1250, 3312, 960, 543, 814, 711, 1044, 11643, 585, 513, 4110, 547, 1022, 824, 2160, 269, 30957, 8796, 2507, 2560, 30957, 298, 1195, 1512, 670, 843, 320, 6660, 6390, 11261, 305, 6858, 270, 31079, 6187, 270, 1001, 276, 30957, 2507, 563, 269, 3849, 332, 269, 3143, 1607, 1788, 814, 1044, 11643, 585, 6514, 609, 938, 13170, 607, 2160, 28643, 269, 30957, 8796, 2507, 2560, 30957, 7804, 269, 14986, 4424, 631, 269, 7102, 7431, 11261, 21841, 6665, 528, 291, 3633, 2975, 9569, 2414, 1250, 1920, 543, 2828, 585, 741, 6024, 1489, 543, 9639, 602, 5280, 803, 538, 519, 12032, 540, 713, 11556, 563, 19272, 301, 8582, 29612, 294, 4932, 28718, 9684, 519, 31471, 26663, 2696, 945, 5795, 803, 519, 4222, 547, 2328, 713, 1957, 1547, 19627, 594, 1131, 899, 547, 2769, 1250, 25442, 14696, 547, 1250, 28643, 1510, 4171, 6024, 5583, 543, 15494, 594, 1131, 711, 723, 7307, 547, 2347, 713, 1957, 1547, 594, 6368, 9684, 1250, 1920, 513, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 1772, 571, 262, 8270, 344, 520, 910, 24531, 7225, 324, 334, 268, 22146, 14118, 1878, 593, 519, 20845, 692, 5331, 596, 616, 2542, 707, 5172, 13371, 1433, 3126, 267, 543, 10393, 267, 596, 2097, 2066, 513, 1007, 1915, 945, 4667, 9642, 569, 5432, 269, 1411, 8275, 602, 713, 1915, 8843, 1082, 7592, 609, 1776, 5869, 689, 513, 4625, 1114, 1650, 256, 901, 2186, 540, 3364, 4523, 782, 519, 942, 538, 3332, 267, 2523, 950, 835, 960, 7506, 1776, 269, 4653, 267, 649, 786, 2263, 875, 6014, 543, 4168, 5931, 6766, 519, 13411, 1433, 540, 5771, 1107, 519, 20845, 269, 2913, 781, 4685, 883, 519, 4241, 1158, 540, 1772, 571, 262, 8270, 344, 520, 2439, 1432, 1281, 1412, 3674, 571, 262, 8270, 344, 520, 262, 1611, 888, 10900, 19567, 3674, 571, 262, 8270, 344, 520, 4016, 547, 519, 2984, 267, 10752, 267, 543, 2161, 902, 827, 13400, 5515, 543, 2621, 602, 941, 3838, 1851, 6014, 267, 4168, 267, 543, 2663, 7332, 2950, 1282, 519, 3735, 25196, 1974, 269, 1452, 6386, 5280, 3337, 2038, 9099, 2219, 543, 666, 1869, 581, 2938, 10630, 538, 519, 20845, 2221, 269, 898, 779, 899, 24228, 2093, 543, 3197, 689, 835, 2707, 547, 1711, 1945, 4195, 855, 11541, 2439, 1692, 1705, 891, 7506, 1265, 741, 1259, 883, 519, 20845, 888, 24801, 21387, 2691, 21024, 17124, 3323, 8391, 10143, 11240, 725, 1472, 476, 29637, 9460, 267, 646, 5030, 538, 25120, 27204, 267, 18142, 17936, 267, 1141, 3309, 3909, 2516, 17706, 13554, 269, 3509, 540, 1010, 13794, 3357, 689, 6014, 543, 4168, 10080, 267, 8744, 2059, 741, 3638, 2686, 6561, 543, 10723, 12591, 269, 1306, 789, 17947, 5771, 267, 930, 2609, 689, 17194, 543, 8567, 6923, 20762, 609, 519, 6932, 5132, 780, 4131, 781, 1413, 693, 1079, 4277, 1806, 1384, 2162, 2878, 7078, 476, 272, 5093, 2608, 303, 1886, 2867, 962, 684, 639, 630, 297, 517, 1695, 264, 543, 519, 1733, 1446, 22177, 1103, 2672, 19207, 1325, 29841, 15401, 630, 6637, 476, 6924, 1070, 7638, 572, 476, 4366, 267, 16589, 19528, 602, 21024, 962, 684, 639, 729, 15179, 539, 2898, 676, 513, 17962, 269, 2755, 1312, 519, 6426, 543, 20845, 2995, 721, 602, 962, 684, 639, 11402, 7286, 8373, 1310, 6028, 1010, 1004, 1932, 4166, 267, 1152, 519, 20845, 2488, 971, 12667, 3877, 827, 1864, 1373, 3330, 519, 17962, 269, 2368, 5640, 3494, 713, 1522, 723, 12090, 689, 3063, 1532, 10041, 2959, 2442, 1369, 519, 3148, 693, 519, 942, 780, 2162, 2878, 7078, 476, 273, 5093, 2608, 1805, 1559, 540, 6307, 600, 630, 27746, 12684, 692, 763, 20845, 814, 1896, 15102, 6131, 547, 6307, 600, 267, 3993, 540, 15643, 630, 27716, 1040, 4173, 1272, 1650, 538, 519, 20845, 20998, 1978, 3344, 540, 3284, 665, 787, 13921, 717, 28145, 1765, 12061, 2275, 534, 517, 673, 6589, 2854, 1472, 519, 1482, 942, 607, 519, 1715, 11620, 269, 1280, 3236, 267, 1175, 899, 538, 519, 1160, 1729, 5271, 13370, 1756, 540, 6276, 267, 519, 20845, 6645, 721, 602, 6307, 4607, 1200, 1101, 28897, 1247, 1352, 729, 7674, 538, 519, 11454, 780, 12441, 12356, 1689, 741, 10513, 3883, 17543, 888, 14343, 15365, 5278, 8044, 602, 12356, 12012, 2694, 540, 519, 20845, 547, 3514, 1732, 609, 6014, 543, 4168, 2984, 269, 1717, 267, 1034, 12206, 3858, 602, 972, 3884, 1405, 2614, 4396, 6169, 547, 1394, 909, 713, 3409, 269, 5502, 267, 789, 2303, 602, 519, 20845, 14405, 6667, 689, 519, 1455, 5289, 5072, 3838, 676, 14062, 545, 5132, 338, 269, 3807, 607, 4589, 1419, 2721, 2390, 4540, 7242, 3098, 543, 17691, 547, 4739, 8903, 2984, 267, 865, 1932, 949, 519, 20845, 6451, 4505, 6386, 883, 922, 1378, 2189, 5943, 780, 18698, 1772, 571, 262, 8270, 344, 520, 2636, 721, 547, 5660, 519, 6946, 13795, 18955, 2429, 1585, 3909, 5389, 269, 1635, 1620, 891, 4296, 267, 649, 6536, 2463, 543, 25621, 585, 938, 7104, 1480, 1391, 2509, 21481, 543, 2820, 6541, 269, 1656, 3314, 267, 4466, 10486, 1063, 9583, 20775, 1568, 568, 711, 2141, 1813, 547, 18532, 25718, 282, 3006, 267, 1390, 8186, 3274, 1589, 7567, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13640, 4150, 3149, 9737, 519, 15878, 262, 534, 543, 17623, 4165, 1664, 7225, 324, 334, 268, 22146, 9085, 454, 13286, 2870, 14853, 333, 841, 281, 1133, 762, 547, 4688, 14853, 333, 841, 547, 10278, 454, 1607, 2376, 610, 3296, 568, 1373, 22058, 730, 563, 763, 10486, 1063, 519, 15878, 262, 534, 543, 3105, 30920, 723, 1044, 7074, 2094, 519, 4417, 540, 5771, 269, 634, 7225, 324, 334, 268, 22146, 8941, 543, 741, 15878, 262, 23307, 1427, 32478, 267, 2705, 267, 10355, 6474, 9985, 269, 589, 3409, 1336, 538, 519, 15878, 262, 534, 543, 824, 9099, 3332, 568, 602, 519, 7642, 543, 10271, 22393, 4957, 741, 30920, 547, 21372, 519, 5168, 799, 568, 17468, 538, 519, 15878, 262, 534, 269, 1703, 568, 1100, 17245, 2963, 538, 519, 21849, 5389, 540, 1346, 10764, 547, 1489, 713, 3409, 267, 543, 2094, 621, 1131, 2154, 513, 24242, 540, 1004, 2066, 5553, 543, 23693, 267, 6340, 1114, 4654, 543, 8066, 32753, 1114, 4978, 267, 519, 3409, 3294, 568, 3622, 711, 3144, 12517, 676, 2413, 5640, 563, 763, 811, 7608, 3069, 568, 602, 519, 15878, 262, 534, 2306, 946, 540, 2984, 689, 519, 3504, 2113, 24586, 538, 799, 621, 21256, 734, 22146, 640, 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, 3674, 571, 262, 8270, 344, 520, 630, 297, 8775, 334, 268, 22146, 14118, 1878, 593, 519, 20845, 17983, 607, 851, 540, 834, 32628, 1315, 5771, 1315, 31704, 534, 1299, 29042, 13360, 902, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 998, 519, 4241, 1158, 540, 13545, 582 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 3078, 3460, 998, 519, 1158, 540, 6760, 7641, 3126, 543, 19792, 2982, 256, 1411, 1522, 723, 2938, 930, 540, 891, 2982, 1354, 267, 855, 723, 596, 2479, 2219, 827, 875, 789, 9305, 547, 1483, 3734, 11678, 899, 1373, 513, 4357, 31375, 267, 19792, 267, 610, 1256, 513, 18837, 10196, 286, 2913, 781, 4685, 883, 713, 4241, 1888, 1927, 2439, 5331, 707, 5172, 3713, 1161, 610, 8069, 593, 7641, 1107, 15593, 6674, 29385, 267, 27211, 667, 4319, 267, 610, 10793, 645, 21516, 689, 834, 2190, 1701, 1358, 782, 4194, 13655, 543, 10963, 1210, 1114, 2553, 267, 2645, 267, 543, 1983, 269, 2755, 930, 2694, 540, 891, 2982, 949, 3100, 1350, 600, 5387, 267, 1832, 538, 2247, 602, 972, 781, 849, 513, 2603, 540, 2182, 960, 3297, 6061, 4890, 2665, 780, 6624, 6760, 7641, 2982, 2721, 6667, 689, 1483, 2621, 543, 3377, 2984, 269, 19536, 3575, 23610, 2609, 609, 5708, 547, 1711, 13858, 13602, 602, 7001, 13588, 262, 3007, 269, 901, 1259, 267, 789, 666, 4001, 721, 827, 1585, 3344, 540, 7803, 5126, 543, 7634, 1247, 5329, 721, 7038, 539, 780, 3086, 267, 1577, 781, 2263, 1018, 2306, 513, 1434, 6760, 7641, 1397, 1384, 272, 269, 2878, 19950, 532, 16992, 5093, 3807, 899, 1022, 824, 9135, 267, 1134, 31465, 543, 11541, 3197, 948, 4497, 9458, 269, 1280, 1383, 267, 3220, 269, 31301, 766, 645, 1066, 22974, 630, 289, 2158, 264, 543, 1200, 9164, 946, 2257, 547, 4194, 15294, 619, 267, 1818, 873, 1312, 10578, 543, 3872, 5515, 563, 273, 269, 2878, 290, 2194, 22899, 12267, 5093, 3281, 2454, 6386, 1759, 593, 10853, 3871, 10544, 21951, 781, 1719, 269, 1452, 1223, 2039, 689, 12638, 13655, 547, 646, 1235, 267, 17611, 32025, 267, 610, 6880, 13062, 830, 2665, 563, 274, 269, 2878, 14807, 1049, 15689, 5093, 4014, 5559, 520, 1242, 267, 6760, 2982, 1683, 4030, 883, 1876, 11268, 8041, 267, 5480, 18659, 267, 543, 18837, 9443, 269, 1306, 5018, 4505, 267, 1082, 2982, 3490, 741, 2984, 593, 3020, 13685, 267, 10962, 3214, 547, 1585, 1514, 2152, 543, 3656, 2035, 780, 2414, 2285, 596, 513, 6492, 540, 875, 3579, 713, 8631, 666, 581, 267, 1934, 616, 1079, 1187, 5013, 1644, 547, 6760, 10207, 543, 7634, 1384, 265, 5983, 14750, 1303, 558, 5505, 1353, 7786, 1336, 693, 6760, 10207, 547, 7447, 950, 2576, 5747, 269, 1635, 6313, 8038, 16793, 267, 3744, 666, 3313, 519, 942, 540, 2669, 1369, 3108, 610, 2395, 2336, 265, 674, 5424, 21646, 941, 1101, 1031, 607, 2963, 538, 10470, 1282, 519, 3735, 476, 5197, 271, 338, 269, 3143, 1079, 9416, 21646, 616, 7567, 282, 3976, 267, 789, 4196, 607, 5140, 8446, 2645, 585, 20737, 780, 2026, 649, 3136, 1565, 811, 827, 6760, 7641, 3126, 543, 19792, 2982, 267, 3314, 602, 891, 3292, 2709, 9913, 1871, 2059, 609, 4245, 593, 1966, 9010, 267, 16542, 267, 543, 3621, 2409, 269, 5901, 3695, 267, 3251, 8049, 267, 543, 2972, 19586, 532, 1346, 9159, 13655, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 568, 513, 1592, 540, 519, 1655, 6760, 7641, 3126, 543, 19792, 2982, 269, 3509, 1004, 2693, 1205, 741, 3312, 6667, 547, 1831, 513, 4357, 31375, 267, 19792, 267, 7128, 11464, 267, 610, 18837, 11285, 689, 8384, 741, 5172, 6760, 3126, 543, 19792, 2982, 593, 7641, 563, 7212, 21035, 779, 26841, 540, 519, 7634, 543, 6760, 6429, 960, 5340, 676, 7128, 10492, 543, 4357, 22602, 1419, 936, 3766, 4594, 528, 3278, 519, 22825, 267, 519, 2647, 3099, 540, 1164, 7779, 3126, 2337, 2990, 621, 607, 606, 3078, 543, 4277, 4876, 563, 29995, 267, 7641, 6760, 2982, 4125, 14070, 3197, 269, 1717, 267, 1082, 540, 519, 4729, 3515, 2097, 2786, 689, 11356, 24657, 563, 8266, 540, 519, 7454, 17235, 7641, 10022, 543, 23618, 633, 31698, 454, 16729, 568, 606, 2479, 21608, 1592, 540, 519, 1655, 6760, 7641, 3126, 269, 4107, 4005, 14501, 616, 2139, 593, 23861, 543, 547, 6908, 593, 8835, 11473, 269, 3399, 513, 5131, 23632, 593, 8835, 11788, 269, 13772, 5215, 540, 9413, 543, 7641, 2982, 20471, 563, 763, 476, 2190, 3126, 6801, 918, 773, 2536, 590, 9801, 1633, 269, 898, 3096, 513, 2189, 9423, 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, 7705, 281, 19743, 7585, 256, 594, 729, 2542, 713, 4277, 2376, 827, 14637, 7279, 543, 4898, 269, 898, 1767, 602, 1373, 8049, 666, 948, 721, 538, 1082, 2081, 269, 1684, 596, 917, 1018, 621, 1797, 547, 581, 8049, 2496, 7692, 281, 19850, 7705, 256, 8786, 267, 594, 1589, 865, 269, 9861, 8049, 1797, 16462, 547, 1451, 811, 827, 1945, 610, 2576, 269, 6145, 950, 649, 1294, 513, 17079, 543, 649, 1616, 547, 917, 1018, 2186, 540, 17079, 621, 568, 267, 602, 781, 1373, 8049, 2439, 8334, 281, 22549, 256, 1656, 798, 596, 917, 1946, 1373, 8049, 568, 1271, 2496, 7692, 281, 670, 7825, 267, 1577, 803, 1589, 1862, 5221, 952, 649, 2811, 8049, 267, 649, 2307, 2055, 543, 2119, 547, 1265, 856, 1007, 1919, 269, 2334, 2337, 721, 1451, 543, 1332, 2439, 8334, 281, 1411, 2811, 11613, 1318, 256, 2913, 803, 2285, 596, 606, 1383, 269, 5994, 596, 2811, 6972, 538, 519, 6288, 543, 596, 1294, 513, 4190, 8768, 269, 1403, 596, 2811, 8049, 267, 596, 1522, 2307, 3054, 267, 834, 1432, 2186, 540, 8768, 568, 602, 8119, 3973, 267, 596, 1223, 1413, 621, 909, 610, 2307, 2576, 945, 6487, 827, 2371, 269, 1635, 3257, 602, 267, 596, 4121, 1945, 1007, 2439, 7692, 281, 7937, 267, 594, 1205, 621, 1631, 256, 1924, 267, 1373, 8049, 2337, 721, 4228, 938, 1702, 543, 1174, 519, 1158, 1472, 721, 1732, 780, 8334, 281, 8786, 267, 4010, 256, 3767, 267, 4952, 596, 2811, 693, 1153, 543, 596, 1810, 1405, 1174, 1945, 707, 4116, 1175, 6045, 269, 5502, 540, 4758, 909, 267, 596, 1223, 2307, 2055, 547, 14183, 707, 7279, 269, 901, 1259, 267, 596, 3513, 723, 513, 1732, 4960, 540, 1620, 519, 1641, 780, 7692, 281, 2334, 2306, 2631, 256, 1809, 1018, 952, 2576, 14659, 1250, 2243, 568, 25064, 610, 29749, 2496, 8334, 281, 4270, 267, 3006, 1004, 1522, 2161, 602, 267, 855, 3314, 602, 972, 781, 1100, 971, 3364, 607, 513, 25064, 2243, 269, 15526, 814, 1114, 2157, 540, 1702, 543, 4690, 269, 1548, 4667, 6654, 547, 835, 1268, 1522, 581, 4625, 1007, 547, 1776, 269, 14755, 267, 6998, 2055, 2982, 602, 596, 2811, 7722, 543, 11235, 547, 1451, 267, 799, 568, 513, 1390, 16023, 547, 723, 2439, 7692, 281, 1411, 2811, 1318, 267, 7705, 269, 594, 7058, 594, 991, 547, 581, 811, 8049, 543, 2307, 811, 2055, 1287, 2439, 8334, 281, 25999, 267, 7585, 256, 16871, 7279, 786, 1118, 707, 1272, 1454, 811, 3078, 543, 16180, 269, 9578, 267, 596, 2760, 917, 950, 519, 1919, 596, 1451, 1522, 2097, 538, 13561, 2439, 7692, 281, 8729, 585, 7713, 782, 713, 267, 7705, 269, 594, 1745, 811, 8746, 827, 1373, 8049, 1631, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1739, 568, 513, 17609, 540, 12326, 593, 7279, 269, 1284, 16436, 596, 547, 1039, 12326, 547, 519, 1592, 563, 1015, 18467, 547, 23340, 513, 9177, 540, 4354, 6685, 538, 2659, 4804, 9257, 454, 301, 4669, 1005, 513, 2528, 540, 7279, 538, 938, 1565, 3906, 814, 10373, 1761, 585, 5355, 519, 2729, 543, 2833, 540, 6267, 14210, 3268, 585, 14637, 1565, 2950, 12082, 538, 7279, 454, 288, 30985, 9650, 281, 634, 10555, 547, 513, 8262, 3455, 5020, 563, 289, 6929, 3400, 10045, 267, 8176, 12551, 2006, 454, 288, 30985, 9650, 568, 711, 1152, 513, 4241, 2985, 2389, 1248, 518, 22924, 849, 3091, 513, 29685, 585, 875, 649, 666, 32570, 938, 1378, 7279, 543, 946, 621, 607, 513, 2706, 12741, 538, 938, 2729, 269, 6787, 596, 2461, 3168, 547, 7794, 707, 2359, 2511, 693, 960, 267, 10625, 513, 1007, 2707, 540, 5876, 267, 610, 1831, 513, 1732, 11509, 7649, 267, 713, 1433, 11652, 922, 4245, 593, 519, 1379, 540, 7279, 1765, 4754, 1689, 707, 1272, 563, 288, 3778, 540, 4354, 6685, 281, 634, 7869, 540, 13488, 267, 476, 14028, 271, 268, 5197, 271, 454, 1805, 698, 331, 781, 29293, 540, 3735, 22733, 10601, 9840, 936, 519, 2470, 540, 2622, 3778, 616, 849, 24084, 2287, 267, 607, 512, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 301, 4669, 1005, 4354, 6685, 543, 24090, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 27065, 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, 6092, 5149, 281, 4197, 7756, 9537, 540, 22868, 543, 4256, 11957, 692, 8893, 20638, 281, 1635, 519, 1439, 540, 713, 3992, 267, 596, 786, 581, 2111, 547, 2491, 519, 1114, 2010, 540, 6009, 602, 1004, 798, 543, 1174, 1946, 789, 616, 1271, 547, 938, 2486, 780, 7072, 912, 5331, 952, 972, 941, 1100, 6705, 547, 1332, 1426, 585, 721, 286, 2107, 7189, 547, 1491, 1416, 540, 721, 950, 649, 1205, 7210, 286, 3776, 1158, 1131, 581, 1360, 1114, 256, 2334, 781, 1946, 621, 781, 1898, 547, 5660, 782, 5686, 540, 6009, 543, 875, 789, 3565, 547, 1818, 938, 2729, 1732, 269, 2913, 781, 1451, 827, 2185, 1713, 6688, 540, 6009, 543, 741, 2956, 780, 13070, 3472, 675, 267, 32645, 267, 17384, 344, 267, 543, 12752, 22868, 630, 13911, 476, 272, 994, 4322, 616, 6009, 1141, 1004, 960, 609, 2470, 547, 3132, 2200, 899, 1426, 267, 3574, 267, 3165, 267, 543, 6151, 2326, 1031, 538, 5663, 5370, 269, 1280, 1383, 267, 6705, 2030, 7031, 267, 6318, 2831, 267, 543, 7556, 873, 865, 602, 649, 666, 723, 4195, 5613, 267, 5388, 267, 543, 16469, 593, 938, 7515, 269, 6684, 267, 2845, 7970, 4383, 7733, 547, 1683, 16025, 585, 4070, 543, 1957, 6080, 269, 674, 5109, 2337, 3761, 16872, 267, 799, 1082, 1004, 2972, 4189, 269, 14936, 267, 4853, 4600, 946, 6151, 2326, 547, 1711, 2472, 971, 607, 6517, 267, 11418, 267, 9660, 267, 3092, 780, 7078, 281, 6056, 827, 707, 5172, 11442, 610, 31942, 269, 898, 729, 2693, 1500, 676, 2576, 2324, 538, 606, 10198, 1899, 693, 513, 12051, 1107, 606, 5140, 1383, 540, 7392, 476, 272, 2816, 2439, 306, 665, 1470, 7232, 5677, 543, 7849, 7070, 22868, 630, 13911, 476, 273, 994, 1607, 1895, 2882, 4648, 945, 1353, 1585, 3344, 540, 1480, 2623, 543, 4205, 267, 9297, 267, 543, 519, 2067, 1158, 1472, 721, 269, 5081, 5505, 4983, 1514, 3270, 267, 3347, 267, 543, 5238, 282, 24192, 5659, 2504, 267, 3892, 267, 543, 4616, 540, 2200, 282, 2520, 657, 2615, 1235, 2263, 3047, 781, 2168, 2497, 543, 6219, 269, 2353, 891, 4966, 948, 7239, 1599, 12347, 676, 3246, 3407, 4030, 883, 1950, 2152, 7133, 2950, 543, 5054, 780, 7078, 281, 5620, 596, 2479, 9289, 1018, 3123, 16767, 610, 17160, 286, 2983, 657, 2615, 1235, 8495, 1346, 9259, 547, 3589, 2104, 2621, 543, 2303, 15324, 3800, 780, 10890, 267, 5113, 267, 543, 3427, 22868, 630, 13911, 476, 274, 994, 10144 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 649, 666, 948, 596, 3251, 835, 1900, 6619, 563, 8005, 568, 519, 1576, 585, 888, 1607, 1576, 568, 5497, 585, 4540, 8668, 4648, 945, 723, 930, 13033, 1702, 543, 1995, 543, 616, 3168, 585, 513, 2582, 1576, 602, 2488, 5813, 883, 4295, 543, 4359, 13033, 4066, 538, 8837, 18218, 476, 1001, 277, 269, 901, 5304, 1131, 3335, 1331, 912, 15187, 1740, 16984, 945, 616, 3168, 547, 12927, 4540, 1983, 543, 1451, 827, 1007, 13033, 2029, 2242, 543, 10342, 538, 8837, 18218, 476, 1001, 277, 563, 21902, 610, 24486, 8556, 21116, 609, 2489, 13033, 1702, 945, 616, 3168, 547, 2744, 4295, 543, 4359, 13033, 1702, 543, 1983, 593, 8837, 18218, 476, 1001, 277, 563, 2171, 666, 849, 5838, 543, 2688, 1047, 713, 2866, 1576, 585, 3677, 2516, 1107, 9494, 707, 13539, 942, 267, 2724, 543, 2200, 269, 1280, 811, 1344, 267, 5225, 3346, 721, 593, 476, 5197, 271, 476, 5952, 274, 476, 28510, 563, 9556, 2544, 476, 272, 281, 12020, 543, 7598, 606, 7379, 341, 275, 3060, 454, 1607, 9074, 849, 6941, 875, 547, 946, 4909, 13033, 2645, 543, 2553, 547, 19022, 543, 23676, 2393, 7379, 341, 275, 2861, 5121, 563, 24248, 2433, 12020, 606, 7379, 341, 275, 3060, 454, 24248, 2433, 20074, 543, 30076, 606, 7379, 341, 275, 3060, 454, 9556, 2544, 476, 273, 281, 20074, 667, 295, 9573, 454, 1607, 9074, 6941, 875, 547, 1544, 543, 2936, 667, 295, 9573, 547, 1489, 519, 7379, 341, 275, 5989, 563, 24248, 2433, 20074, 667, 295, 9573, 454, 5522, 8911, 513, 667, 295, 9573, 7746, 6388, 454, 25363, 13586, 519, 667, 295, 9573, 12122, 454, 11749, 573, 908, 519, 667, 295, 9573, 6388, 454, 9556, 2544, 476, 274, 281, 20074, 7379, 341, 277, 454, 1607, 9074, 6941, 875, 547, 2936, 7379, 341, 277, 267, 543, 875, 547, 11753, 7379, 341, 277, 543, 7379, 341, 275, 5121, 563, 29619, 540, 7379, 341, 277, 5466, 454, 3519, 14808, 1005, 606, 7379, 341, 277, 3984, 454, 25363, 13586, 7379, 341, 277, 543, 7379, 341, 275, 30398, 454, 9558, 819, 532, 689, 7379, 341, 275, 547, 7379, 341, 277, 454, 24248, 2433, 4762, 580, 1005, 543, 10442, 7379, 341, 277, 5912, 4066, 454, 18800, 532, 519, 9949, 7379, 341, 277, 12122, 454, 3519, 14808, 1005, 3060, 5610, 676, 1210, 4959, 2969, 4338, 454, 3519, 14808, 1005, 5065, 7379, 341, 277, 14479, 454, 3519, 14808, 1005, 476, 277, 1729, 275, 14479, 454, 9556, 2544, 476, 275, 281, 20074, 22665, 454, 1607, 9074, 6941, 875, 547, 3888, 267, 19022, 267, 543, 23676, 2393, 22665, 1369, 519, 3919, 779, 3060, 563, 25363, 13586, 22665, 13763, 454, 3519, 14808, 1005, 10851, 538, 22665, 454, 3519, 14808, 1005, 2012, 6571, 1063, 22665, 10851, 454, 3519, 14808, 1005, 22665, 5610, 609, 15765, 30615, 23792, 7896, 630, 4696, 26712, 994, 3519, 14808, 1005, 4359, 22665, 5468, 454, 24248, 2433, 12020, 543, 7598, 2012, 6571, 676, 1210, 22665, 454, 24248, 2433, 23889, 22665, 609, 15765, 30615, 454, 24248, 2433, 4762, 580, 1005, 4359, 22665, 5468, 454, 9556, 2544, 476, 276, 281, 20074, 543, 5883, 7379, 4456, 454, 1607, 9074, 6941, 875, 547, 2936, 543, 4383, 519, 7379, 4456, 4183, 538, 8837, 18218, 476, 1001, 277, 269, 901, 9074, 849, 6941, 875, 547, 946, 7379, 4456, 547, 4383, 2533, 971, 607, 667, 295, 9573, 543, 22665, 563, 24248, 2433, 20074, 7379, 4456, 454, 9743, 16226, 519, 7379, 4456, 18218, 4183, 454, 3682, 9679, 532, 519, 7379, 4456, 18218, 454, 31572, 7379, 2232, 5624, 676, 1210, 7379, 4456, 454, 9556, 2544, 476, 277, 281, 22647, 1569, 538, 8837, 18218, 476, 1001, 277, 454, 1607, 9074, 6941, 875, 547, 1544, 585, 6552, 1569, 538, 8837, 18218, 476, 1001, 277, 543, 875, 547, 2936, 5680, 13335, 1160, 15383, 563, 24248, 2433, 20074, 5680, 13335, 1160, 15383, 454, 9556, 2544, 476, 278, 281, 20074, 6034, 16966, 454, 1607, 9074, 6941, 875, 547, 2936, 543, 4383, 6034, 16966, 538, 8837, 18218, 476, 1001, 277, 563, 24248, 2433, 20074, 6034, 16966, 676, 1210, 519, 15775, 29035, 654, 19123, 454, 24248, 2433, 1546, 1943, 532, 606, 4359, 6034, 16966, 3070, 454, 27609, 532, 519, 1604, 585, 6034, 16966, 454, 25363, 13586, 519, 4359, 6034, 16966, 5989, 454, 11749, 573, 908, 519, 6034, 16966, 17293, 454, 9556, 2544, 476, 279, 281, 20074, 19504, 338, 454, 1607, 9074, 6941, 875, 547, 2936, 543, 4383, 6552, 1569, 538, 8837, 18218, 476, 1001, 277, 676, 1210, 19504, 338, 563, 24248, 2433, 20074, 19504, 454, 9556, 2544, 476, 280, 281, 20074, 13033, 585, 7936, 13646, 454, 1607, 9074, 6941, 875, 547, 2936, 3060, 2533, 585, 7936, 13646, 563, 15187, 11529, 2934, 543, 9270, 585, 7936, 13646, 454, 25363, 13586, 20518, 3176, 11711, 3590, 630, 5263, 306, 264, 585, 7936, 13646, 454, 25363, 13586, 25032, 290, 5995, 585, 7936, 13646, 454, 24248, 2433, 20074, 667, 12396, 585, 7936, 13646, 454, 24248, 2433, 20074, 25032, 290, 5995, 454, 9556, 2544, 476, 1015, 281, 4762, 580, 1005, 4359, 13033, 2934, 454, 1607, 9074, 6941, 875, 547, 2936, 606, 4359, 13033, 5989, 563, 24248, 2433, 4762, 580, 1005, 4359, 15214, 13305, 13033, 2934, 454, 9556, 2544, 476, 1556, 281, 20074, 12229, 4347, 1441, 32730, 454, 1607, 9074, 6941, 875, 547, 2936, 12676, 301, 563, 24248, 2433, 1546, 1943, 532, 8416, 2552, 28948, 454, 1103, 1840, 547, 3318, 1995, 267, 1053, 945, 7390, 713, 2866, 1058, 2907, 723, 519, 1739, 2930, 1702, 912, 16987, 1466, 2324, 609, 8837, 18218, 476, 1220, 279, 610, 8837, 18218, 476, 1001, 273, 454, 16987, 1466, 2324, 538, 513, 8837, 18218, 5989, 13055, 1604, 454, 15447, 1578, 540, 519, 7046, 7010, 3955, 28947, 630, 5308, 296, 264, 2203, 454, 8139, 540, 4295, 13033, 5989, 3334, 543, 4066, 971, 607, 9348, 1782, 267, 31425, 267, 32387, 267, 543, 17176, 454, 293, 13399, 640, 609, 13033, 1283, 3098, 543, 25121, 971, 607, 2199, 1858, 5121, 630, 28356, 338, 1070, 2647, 1858, 5121, 630, 310, 3198, 338, 264, 543, 12616, 13033, 454, 5278, 2596, 1702, 540, 519, 27427, 270, 7709, 7014, 10518, 267, 5466, 543, 2012, 6571, 454, 16987, 1466, 609, 543, 1702, 540, 15214, 13305, 543, 5691, 1436, 454, 295, 1343, 6823, 1995, 2324, 609, 519, 8837, 7817, 5665, 1949, 971, 607, 8837, 476, 279, 269, 272, 610, 8837, 476, 1015, 454, 24404, 916, 1299, 17148, 0, 19350, 1448, 1412, 288, 262, 2387, 8722, 302, 319, 666, 13322, 1029, 2999, 19112, 521, 21683, 6889, 10059, 2517, 323, 1015, 331, 17989, 335, 277, 343, 345, 2568, 333, 336, 17085, 3716, 12506, 14492, 270, 874, 12695, 318, 30502, 270, 3201, 301, 318, 6224, 300, 318, 290, 5400, 318, 292, 4905, 318, 31318, 318, 304, 4905, 26666, 257, 8700, 6889, 3199, 260, 22969, 2999, 1962, 285, 263, 320, 264, 2041, 4389, 676, 3327, 24785, 1152, 269, 2999, 1962, 285, 263, 321, 264, 6826, 4389, 676, 1312, 3327, 24785, 543, 3327, 269, 2999, 1962, 285, 263, 322, 264, 2041, 4389, 676, 3327, 1152, 2999, 1962, 285, 263, 323, 264, 2254, 581, 4389, 676, 1312, 3327, 543, 3327, 24785, 454, 272, 269, 275, 918, 266, 14358, 1923, 476, 6858, 700, 10105, 454, 303, 9438, 519, 2175, 896, 799, 2999, 1962, 285, 630, 320, 264, 2704, 6058, 1756, 1522, 581, 4397, 547, 2569, 3172, 525, 807, 2999, 1962, 285, 630, 321, 264, 300, 1725, 10901, 1223, 2569, 620, 29837, 269, 2999, 1962, 285, 630, 4512, 264, 27793, 24785, 568, 811, 2500, 4227, 8665, 982, 3327, 2630, 476, 7176, 274, 918, 855, 267, 1657, 713, 1661, 1440, 1155, 32586, 9258, 568, 3020, 910, 23737, 269, 2999, 1962, 285, 630, 13839, 264, 527, 568, 2009, 547, 2569, 2387, 8722, 318, 263, 273, 264, 302, 318, 263, 274, 23375, 676, 1071, 651, 693, 513, 1661, 1440, 1155, 1472, 476, 6344, 271, 918, 563, 273, 269, 279, 918, 266, 14358, 1923, 476, 1911, 266, 700, 10105, 0, 763, 6429, 609, 519, 26734, 538, 2920, 476, 275, 269, 272, 540, 9956, 781, 16077, 568, 606, 29208, 540, 519, 1101, 1079, 2053, 519, 26734, 616, 12286, 269, 3962, 942, 789, 2408, 538, 519, 1404, 741, 4527, 543, 2238, 1332, 269, 769, 713, 6429, 267, 519, 26734, 616, 8600, 513, 1786, 342, 267, 649, 8263, 585, 16077, 547, 4235, 630, 663, 602, 781, 875, 621, 568, 2356, 19500, 856, 950, 519, 1404, 568, 5340, 1040, 634, 26734, 616, 4843, 607, 1256, 811, 796, 11499, 267, 21693, 573, 267, 543, 9240, 5052, 4302, 982, 5892, 269, 4256, 1913, 543, 741, 23937, 547, 519, 1494, 3565, 547, 519, 1973, 543, 3662, 11052, 538, 519, 1404, 267, 607, 1134, 607, 519, 6249, 540, 519, 796, 11499, 269, 634, 1786, 342, 6087, 16077, 547, 1294, 22649, 563, 4537, 6832, 14425, 519, 946, 540, 22565, 538, 519, 1404, 585, 1978, 3871, 267, 543, 713, 568, 835, 540, 873, 269, 3807, 1354, 16077, 21128, 267, 519, 5822, 654, 3558, 3045, 25555, 912, 3528, 519, 533, 4459, 532, 540, 1250, 555, 29304, 2676, 306, 15036, 29063, 713, 1259, 2501, 563, 8005, 1197, 5679, 4169, 269, 630, 8002, 476, 275, 269, 272, 269, 4510, 268, 5325, 994, 8170, 1576, 267, 519, 7793, 1664, 540, 519, 26734, 568, 3773, 547, 1934, 267, 2094, 1352, 5526, 547, 723, 1044, 5483, 602, 16077, 814, 8452, 1354, 646, 13788, 267, 676, 930, 14815, 1352, 2833, 538, 1200, 555, 29304, 269, 16077, 781, 7127, 5012, 547, 1010, 22649, 543, 811, 11236, 676, 519, 26734, 563, 763, 4276, 1063, 519, 26734, 543, 16077, 267, 543, 519, 5822, 654, 3558, 781, 2702, 547, 2631, 1864, 1354, 646, 13788, 267, 1058, 711, 2097, 607, 1454, 540, 513, 9983, 676, 713, 1448, 538, 519, 1404, 269, 16077, 543, 519, 26734, 723, 1044, 4448, 2094, 2920, 476, 272, 269, 274, 950, 16077, 30172, 741, 4023, 568, 28067, 1899, 269, 0, 303, 21310, 1399, 568, 519, 1974, 540, 4638, 30553, 543, 9740, 540, 12680, 269, 634, 942, 950, 23648, 5956, 9775, 7494, 1851, 2043, 282, 2705, 267, 23648, 2356, 4386, 538, 6690, 1063, 519, 6502, 540, 476, 1015, 543, 476, 1691, 543, 1063, 519, 6502, 540, 476, 1321, 543, 476, 1626, 538, 8695, 269, 5530, 2982, 602, 6690, 5734, 23648, 4505, 543, 7985, 1713, 2242, 538, 741, 12058, 267, 952, 789, 723, 1044, 20109, 703, 2954, 563, 12867, 693, 519, 12672, 7322, 4741, 267, 543, 670, 3518, 1245, 339, 2160, 267, 12670, 267, 3366, 676, 4790, 534, 2763, 30776, 577, 578, 543, 7812, 6601, 19816, 267, 4080, 602, 4638, 5905, 1522, 723, 513, 8273, 3310, 593, 23648, 982, 5892, 2219, 269, 898, 814, 1044, 1634, 585, 930, 942, 602, 1514, 10291, 666, 2901, 17108, 610, 8488, 23648, 538, 11864, 267, 855, 621, 18387, 1405, 1044, 2312, 799, 6786, 616, 2629, 267, 6862, 875, 789, 1860, 519, 1560, 543, 2634, 267, 543, 538, 1880, 519, 2009, 556, 32360, 540, 519, 2634, 269, 634, 3173, 1101, 4767, 602, 519, 8849, 6041, 540, 519, 1024, 8558, 538, 519, 19548, 16794, 21040, 1282, 23648, 563, 2414, 2253, 609, 267, 519, 1353, 25495, 1018, 729, 4397, 282, 602, 4638, 10399, 17108, 23648, 543, 519, 2208, 540, 519, 865, 10777, 1412, 2102, 1388, 16794, 9538, 1717, 267, 1018, 781, 1007, 568, 602, 789, 1265, 602, 4638, 5905, 849, 8309, 15186, 547, 519, 10231, 540, 23648, 269, 4438, 741, 1353, 267, 519, 3744, 1101, 2322, 1762, 4775, 14148, 1927, 609, 5256, 14148, 543, 1336, 602, 519, 19058, 16794, 9450, 607, 513, 1267, 269, 901, 4769, 1405, 4755, 950, 519, 8951, 941, 24428, 609, 824, 8951, 267, 610, 952, 519, 9038, 941, 9674, 689, 873, 676, 5911, 17450, 267, 7551, 7303, 1463, 3346, 563, 5978, 2164, 948, 547, 1174, 1946, 519, 8226, 540, 938, 1560, 2242, 865, 1454, 1282, 23648, 1701, 4935, 267, 2242, 540, 519, 1560, 543, 519, 21276, 2242, 538, 519, 2634, 1282, 23648, 616, 711, 8806, 513, 2339, 540, 10399, 910, 789, 616, 849, 1071, 1673, 17827, 676, 4638, 1995, 269, 634, 1353, 568, 3370, 538, 519, 1930, 1569, 4760, 12813, 5308, 10334, 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 ]
[ 1732, 982, 11204, 8600, 3274, 1317, 922, 2484, 811, 20498, 676, 2470, 269, 1530, 2378, 797, 568, 11338, 9833, 607, 606, 9058, 1426, 540, 519, 1360, 1378, 538, 5607, 267, 1247, 519, 2165, 968, 8127, 543, 32729, 892, 568, 540, 339, 550, 1307, 3730, 547, 9414, 782, 2010, 540, 16872, 543, 2472, 3812, 676, 621, 563, 290, 8504, 7648, 616, 6766, 676, 519, 4781, 540, 1114, 2081, 547, 3434, 1426, 560, 4428, 267, 741, 6284, 543, 998, 14375, 7555, 269, 634, 1505, 540, 5986, 568, 8200, 2390, 1100, 2339, 952, 513, 3536, 568, 2838, 547, 581, 11273, 3362, 610, 5402, 269, 4658, 945, 2661, 538, 811, 6899, 5054, 4043, 547, 946, 513, 2603, 811, 22376, 1375, 880, 8600, 1426, 2409, 1317, 519, 14246, 568, 3274, 711, 3362, 3489, 762, 538, 741, 4064, 269, 11531, 267, 1004, 538, 4411, 5210, 2824, 811, 3533, 1426, 7041, 2409, 547, 723, 741, 7594, 18241, 267, 3226, 5779, 799, 723, 547, 581, 1500, 7444, 547, 6861, 17973, 543, 1118, 922, 9636, 563, 294, 553, 588, 7174, 616, 1851, 519, 1034, 2442, 1797, 540, 2870, 6980, 1318, 1631, 269, 898, 814, 1831, 1454, 4443, 547, 1711, 12403, 338, 267, 5779, 543, 27130, 1210, 519, 4367, 540, 713, 1426, 7041, 1935, 269, 12182, 4412, 2033, 568, 26151, 1055, 1369, 519, 887, 770, 610, 5310, 519, 824, 12146, 547, 5352, 519, 3002, 3761, 602, 3091, 519, 7594, 922, 7657, 1681, 269, 1703, 616, 930, 1585, 2081, 5986, 609, 4620, 1503, 899, 9940, 2837, 267, 2186, 548, 610, 28681, 269, 2353, 540, 891, 814, 922, 1378, 1895, 540, 1064, 14476, 543, 2258, 2510, 563, 7021, 322, 10541, 610, 4608, 10541, 3536, 616, 2731, 2635, 543, 7059, 547, 562, 756, 1076, 593, 855, 2356, 723, 513, 10750, 8137, 269, 595, 10541, 5820, 2844, 1256, 811, 540, 741, 9422, 1871, 1058, 789, 581, 11273, 7157, 269, 1677, 5818, 519, 8137, 543, 11007, 609, 519, 11273, 6980, 267, 4005, 532, 616, 3773, 547, 621, 269, 4005, 902, 267, 4173, 4472, 5574, 543, 7423, 616, 1175, 513, 1906, 540, 519, 4909, 4773, 6964, 538, 5986, 6980, 563, 763, 1360, 1655, 1606, 600, 7204, 1426, 616, 519, 1826, 602, 786, 581, 11273, 13035, 569, 543, 5402, 538, 6632, 8022, 1426, 7041, 2409, 269, 769, 4641, 267, 1034, 1004, 1131, 2769, 602, 6213, 10709, 16469, 543, 2249, 540, 3165, 616, 930, 540, 519, 13820, 5006, 1426, 3688, 2066, 519, 1158, 269, 898, 786, 581, 519, 6791, 538, 519, 27697, 547, 1118, 1978, 519, 5779, 616, 5423, 538, 519, 4998, 6712, 547, 1118, 2386, 789, 616, 13035, 7850, 596, 666, 3548, 1247, 1869, 1373, 5848, 2989, 3330, 269, 28611, 267, 1346, 1004, 945, 616, 1072, 6857, 6430, 593, 5986, 1426, 9522, 539, 5779, 543, 2249, 540, 3165, 547, 2327, 789, 616, 30152, 689, 9363, 22848, 10541, 269, 1403, 596, 616, 3168, 547, 1118, 707, 803, 5306, 830, 12608, 1944, 543, 4241, 267, 596, 1058, 2638, 856, 11100, 1922, 11538, 543, 11256, 267, 713, 29620, 519, 16469, 689, 4742, 3819, 610, 22848, 10541, 563, 269, 1452, 1426, 7041, 2409, 616, 11108, 543, 2322, 513, 1434, 4308, 540, 8137, 585, 707, 1426, 269, 634, 1883, 2601, 1946, 1312, 891, 3443, 4485, 616, 2731, 2442, 568, 3274, 1317, 789, 946, 4749, 513, 521, 11170, 1782, 3905, 11041, 610, 7654, 513, 3443, 602, 1223, 581, 5402, 536, 27547, 547, 2333, 519, 12094, 543, 8137, 593, 519, 2944, 1426, 269, 634, 536, 20621, 540, 519, 3490, 540, 519, 3443, 6087, 596, 547, 2673, 909, 538, 519, 7657, 1681, 689, 519, 3334, 865, 602, 789, 4043, 547, 581, 811, 32727, 696, 1190, 952, 789, 616, 13820, 539, 563, 2252, 596, 10150, 713, 2376, 543, 596, 1131, 6157, 899, 547, 3489, 1256, 811, 5013, 17640, 547, 717, 611, 12033, 543, 2645, 585, 10051, 24963, 3643, 519, 2985, 563, 299, 22075, 9708, 3254, 676, 8436, 689, 519, 4950, 3135, 281, 0, 12640, 6866, 1496, 298, 523, 1744, 597, 337, 858, 316, 9708, 1945, 267, 621, 7475, 909, 1373, 513, 4241, 1224, 269, 15394, 621, 779, 513, 4062, 540, 2780, 1686, 267, 1232, 11474, 543, 9788, 11953, 896, 1010, 17209, 1141, 621, 25457, 9258, 4702, 543, 2079, 547, 513, 4110, 602, 1058, 581, 2182, 547, 1246, 267, 855, 646, 1869, 11214, 21314, 547, 1118, 621, 24669, 269, 1656, 519, 1482, 4422, 585, 713, 6909, 8168, 12746, 8184, 2780, 267, 1256, 1498, 972, 779, 18923, 1022, 13339, 3330, 563, 763, 31074, 538, 2243, 729, 13166, 11280, 519, 968, 396, 502, 4709, 9686, 4138, 18547, 4344, 18775, 2843, 507, 3522, 8563, 4138, 15671, 3522, 30530, 32648, 21162, 13953, 2843, 504, 25974, 9261, 4138, 10948, 27799, 24012, 13953, 2223, 799, 10199, 18922, 547, 968, 11898, 12445, 13525, 1848, 898, 24271, 3814, 569, 12236, 519, 28215, 968, 10908, 984, 639, 892, 693, 930, 1448, 267, 24669, 2016, 519, 7986, 2964, 1242, 8608, 519, 3926, 2934, 269, 3794, 984, 639, 7012, 1406, 2965, 5532, 547, 1022, 2186, 540, 16931, 658, 12445, 11378, 267, 855, 2864, 729, 5497, 547, 1683, 5430, 3000, 2246, 338, 609, 513, 3308, 16315, 540, 1141, 741, 14361, 729, 3448, 547, 519, 2627, 540, 519, 3047, 269, 1306, 971, 621, 31030, 593, 11378, 689, 519, 5430, 3000, 2246, 338, 267, 899, 606, 3355, 2990, 543, 20771, 15820, 269, 3245, 972, 267, 513, 7294, 543, 11613, 32154, 10591, 5721, 10023, 2789, 11186, 24039, 4359, 519, 8608, 267, 6029, 1141, 519, 14361, 4867, 729, 563, 17829, 540, 596, 15691, 585, 513, 2347, 751, 731, 1144, 786, 581, 25922, 282, 519, 3926, 267, 799, 12217, 2963, 540, 4947, 689, 519, 942, 540, 519, 21011, 4149, 1195, 15120, 5698, 538, 476, 3192, 276, 267, 568, 2484, 1932, 10475, 547, 581, 3144, 547, 11353, 267, 543, 6157, 5654, 899, 621, 1131, 2322, 909, 513, 4339, 3843, 547, 1205, 621, 1394, 1927, 269, 1809, 1496, 298, 523, 316, 1869, 21314, 547, 979, 883, 1390, 3178, 267, 543, 8761, 1082, 540, 922, 11580, 269, 15346, 2934, 1331, 519, 2520, 641, 7035, 1227, 6378, 20771, 31007, 282, 519, 2702, 547, 3589, 513, 13941, 1448, 689, 513, 632, 528, 4226, 6633, 267, 849, 512, 532, 539, 609, 12019, 2782, 9270, 282, 543, 519, 6293, 779, 7687, 267, 899, 1152, 5885, 9764, 25057, 267, 799, 19430, 5430, 3000, 2246, 338, 547, 1289, 585, 922, 8851, 269, 1809, 8747, 540, 3794, 984, 639, 20866, 7902, 538, 7168, 1454, 3388, 519, 7737, 328, 1115, 24363, 689, 476, 3422, 272, 547, 476, 1220, 273, 269, 13185, 827, 9363, 1379, 256, 0, 258, 307, 3722, 2316, 311, 26012, 853, 11691, 13245, 769, 634, 15604, 3933, 2195, 454, 8702, 547, 15604, 454, 310, 5793, 5503, 568, 2390, 721, 269, 898, 779, 3478, 21617, 543, 18632, 4505, 267, 543, 649, 2461, 1427, 11661, 547, 11255, 1272, 543, 2238, 269, 901, 568, 849, 519, 942, 540, 1032, 649, 1376, 16706, 1447, 543, 20414, 10108, 811, 269, 901, 3085, 1406, 723, 547, 581, 519, 2013, 267, 2705, 269, 1411, 666, 1869, 3548, 1072, 1176, 267, 3251, 27361, 267, 543, 2057, 10108, 609, 2241, 543, 2653, 2081, 547, 3251, 2635, 1282, 519, 5162, 3275, 269, 2353, 596, 991, 568, 519, 1697, 21339, 543, 8404, 563, 10673, 1406, 3247, 16706, 454, 10673, 1406, 3247, 16706, 269, 21480, 7928, 15904, 7886, 269, 4855, 513, 15547, 952, 596, 666, 543, 1118, 513, 7029, 547, 960, 856, 8164, 596, 666, 269, 8347, 10649, 610, 513, 8095, 1362, 267, 610, 1265, 930, 1187, 3635, 7044, 593, 13334, 547, 960, 856, 547, 269, 2201, 13566, 2395, 267, 10571, 909, 27145, 543, 3274, 1491, 513, 3802, 610, 28185, 1472, 519, 8378, 269, 4855, 513, 3659, 547, 6443, 596, 547, 1832, 596, 12592, 269, 4634, 476, 736, 3764, 513, 1554, 568, 513, 2462, 1900, 4724, 5329, 513, 2635, 3635, 20786, 563, 292, 520, 1732, 267, 2057, 7050, 15165, 532, 454, 6624, 540, 721, 4043, 547, 3548, 811, 1282, 519, 5162, 3275, 269, 1879, 596, 1694, 585, 1279, 5712, 540, 942, 267, 621, 779, 2653, 547, 15165, 593, 22938, 1426, 269, 23423, 19346, 2000, 23565, 3536, 971, 607, 3043, 3694, 543, 18437, 547, 513, 5934, 269, 21561, 10709, 5946, 543, 8902, 5613, 543, 5388, 971, 607, 4158, 21364, 16719, 267, 5162, 23601, 267, 20521, 267, 543, 533, 727, 28699, 622, 269, 1452, 5613, 543, 5388, 616, 17078, 523, 609, 5567, 267, 14434, 267, 543, 6775, 799, 5818, 519, 1560, 779, 4761, 1062, 543, 1832, 10108, 693, 15922, 269, 898, 779, 849, 1271, 547, 3251, 19872, 607, 3819, 2011, 11148, 547, 3819, 856, 938, 2960, 269, 21561, 707, 6981, 540, 1216, 267, 543, 849, 5144, 269, 2659, 1560, 2115, 811, 5144, 693, 713, 942, 547, 1045, 580, 28672, 707, 4761, 1062, 609, 8324, 667, 543, 645, 1321, 267, 543, 849, 513, 1360, 1271, 2707, 540, 7513, 585, 2178, 543, 2635, 7633, 269, 962, 690, 4669, 267, 10381, 267, 3165, 267, 543, 5798, 616, 849, 1434, 2959, 540, 6171, 667, 563, 30395, 707, 4761, 1062, 454, 763, 5162, 3275, 4043, 547, 3196, 1004, 547, 581, 6251, 547, 824, 1004, 1247, 16280, 269, 901, 666, 2333, 519, 8458, 540, 20414, 8290, 602, 2014, 897, 1091, 267, 519, 2770, 267, 610, 5046, 268, 866, 269, 3776, 2067, 22024, 7496, 538, 519, 9224, 267, 5023, 267, 543, 9641, 267, 616, 21260, 538, 3819, 2011, 269, 1677, 948, 1628, 1560, 23640, 267, 1376, 676, 3478, 513, 2770, 8929, 543, 1832, 909, 609, 5046, 25750, 269, 5269, 2386, 596, 11547, 707, 3946, 811, 4749, 543, 946, 513, 18519, 8595, 538, 707, 1753, 547, 844, 749, 519, 3819, 2011, 269, 8347, 930, 2067, 14319, 899, 14462, 6978, 267, 13342, 267, 20192, 514, 25445, 267, 9632, 9440, 267, 6171, 595, 267, 543, 13058, 269, 5269, 2386, 596, 849, 1205, 2614, 3207, 269, 10163, 878, 1154, 2780, 946, 543, 7641, 8384, 693, 3781, 666, 2014, 596, 547, 3251, 909, 2663, 543, 14145, 633, 707, 3207, 4806, 563, 291, 816, 14013, 585, 519, 4365, 454, 16605, 3950, 540, 5210, 543, 4365, 2175, 1210, 8924, 610, 8384, 2199, 4365, 5359, 269, 3680, 896, 610, 936, 1673, 7675, 585, 519, 1554, 269, 23203, 6106, 865, 596, 666, 4188, 707, 4313, 1377, 607, 596, 979, 689, 4411, 13964, 547, 15911, 16280, 269, 7767, 538, 513, 3636, 5162, 10359, 267, 11058, 267, 17309, 267, 10077, 325, 267, 543, 1274, 332, 32332, 269, 13363, 707, 2212, 267, 3946, 267, 3952, 267, 543, 10772, 454, 6826, 13533, 540, 707, 1560, 779, 5114, 547, 519, 4365, 269, 8056, 2664, 2299, 1205, 856, 540, 519, 4411, 952, 596, 14353, 596, 616, 3478, 15470, 321, 924, 269, 20405, 569, 3636, 519, 4299, 1858, 2443, 855, 2057, 27012, 607, 602, 666, 3441, 707, 2960, 269, 16418, 6595, 1416, 952, 31018, 3085, 1406, 979, 2476, 269, 1403, 596, 1995, 7920, 695, 1853, 532, 267, 1793, 13899, 4633, 267, 2530, 540, 11558, 267, 610, 3665, 9854, 267, 1346, 1223, 581, 4191, 540, 3834, 1278, 8926, 269, 4855, 3636, 12062, 3533, 563, 19400, 707, 2295, 454, 4415, 519, 5162, 4005, 267, 2501, 519, 5162, 6777, 28323, 269, 4014, 6777, 5932, 513, 28677, 6429, 17709, 540, 2789, 17749, 1582, 625, 267, 621, 5555, 2115, 547, 581, 15524, 767, 539, 269, 5525, 723, 3254, 602, 2295, 4323, 3928, 2333, 607, 5210, 6175, 269, 1744, 334, 767, 532, 6777, 267, 3226, 5230, 267, 6632, 6777, 267, 666, 2014, 7920, 28377, 540, 2534, 543, 7050, 7569, 593, 707, 2295, 563, 13014, 2386, 596, 1847, 1507, 5666, 540, 6777, 693, 513, 942, 543, 1491, 707, 942, 269, 7102, 2179, 540, 9221, 1928, 1058, 581, 3144, 12517, 269, 16418, 2564, 948, 5612, 952, 596, 1745, 9636, 267, 9221, 9395, 2287, 267, 610, 1928, 538, 519, 9221, 267, 5580, 6186, 267, 610, 8405, 1858, 269, 5269, 2386, 596, 946, 519, 1697, 2553, 547, 15524, 767, 6777, 547, 2149, 711, 1152, 707, 2295, 855, 707, 1394, 543, 10549, 849, 269, 1403, 596, 1995, 2152, 609, 707, 12636, 543, 10549, 267, 1118, 2386, 596, 1118, 606, 13393, 609, 513, 23096, 528, 267, 899, 15616, 18132, 1460, 563, 5319, 2809, 519, 5162, 3275, 454, 10673, 1406, 23487, 519, 5162, 4005, 2507, 655, 3630, 576, 621, 269, 1411, 666, 3251, 2635, 1282, 519, 5162, 3275, 676, 1739, 519, 1657, 4388, 543, 1869, 2972, 519, 21617, 5210, 543, 4657, 12405, 269, 0, 763, 4659, 11225, 10531, 1565, 607, 606, 1935, 547, 1565, 543, 6044, 602, 568, 2966, 1472, 1367, 15226, 22026, 267, 9342, 267, 2115, 543, 4690, 269, 22996, 616, 3742, 5171, 538, 4259, 3853, 267, 4058, 1565, 10092, 267, 9477, 3356, 543, 8159, 875, 1565, 786, 581, 7152 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 773, 11242, 454, 11764, 3405, 1125, 3474, 7469, 19189, 5681, 3405, 1944, 8018, 15206, 4569, 18827, 476, 275, 628, 6103, 7335, 6096, 454, 12626, 8018, 3474, 7469, 337, 2084, 476, 2004, 22054, 2920, 643, 527, 773, 3474, 7469, 19189, 29941, 454, 13640, 7469, 337, 2084, 3427, 8018, 15206, 4569, 18827, 11242, 454, 13640, 7469, 337, 2084, 5664, 3427, 5675, 476, 273, 526, 6103, 2920, 643, 527, 773, 22252, 1049, 454, 1692, 1677, 3474, 7469, 19189, 11905, 5675, 19019, 9752, 16497, 454, 13640, 7469, 19189, 8018, 476, 276, 628, 6103, 9752, 5675, 7689, 3474, 7469, 337, 2084, 454, 12626, 8018, 3474, 7469, 337, 2084, 6206, 3474, 7469, 19189, 2920, 643, 527, 773, 18049, 6096, 454, 17582, 18694, 3474, 7469, 337, 2084, 6657, 7335, 24366, 31853, 7689, 5675, 3427, 454, 5472, 1977, 15026, 16672, 2986, 14412, 4317, 2289, 773, 8018, 23467, 1041, 5525, 0, 20236, 3146, 1636, 2553, 4766, 2409, 540, 11018, 1239, 1141, 5171, 1683, 1344, 827, 2933, 1510, 13779, 689, 519, 4603, 518, 563, 22746, 2553, 666, 1331, 26830, 267, 11042, 267, 610, 1256, 1019, 2456, 267, 543, 6038, 786, 2154, 4758, 6114, 547, 840, 1606, 564, 2055, 563, 24066, 6672, 540, 1582, 3146, 1636, 2409, 454, 268, 19893, 666, 581, 4280, 827, 741, 4606, 543, 26256, 1431, 630, 328, 4318, 269, 4555, 1070, 799, 666, 581, 811, 3730, 982, 3274, 11287, 7180, 4805, 563, 268, 31950, 926, 657, 666, 581, 4280, 827, 5492, 24312, 1510, 2348, 547, 9308, 1305, 873, 909, 543, 7747, 5171, 685, 7180, 563, 268, 20283, 532, 1344, 827, 4555, 610, 4606, 568, 1152, 3730, 952, 5171, 616, 8348, 547, 30035, 873, 547, 519, 4603, 518, 563, 268, 19893, 949, 2119, 547, 2285, 519, 2048, 322, 8091, 685, 6114, 789, 1589, 3173, 616, 3168, 585, 630, 528, 22393, 798, 519, 6587, 1070, 610, 2119, 547, 2097, 2066, 538, 1034, 13998, 11807, 1259, 630, 328, 4318, 269, 1514, 964, 4275, 321, 1006, 9186, 1070, 799, 666, 1291, 547, 4758, 2150, 337, 3578, 995, 6114, 563, 15100, 476, 1708, 273, 570, 12460, 273, 340, 17290, 269, 7577, 3204, 1100, 281, 476, 271, 4510, 279, 4817, 10619, 269, 966, 2969, 1036, 1100, 476, 279, 1626, 279, 4792, 6110, 269, 0, 21801, 476, 1556, 267, 476, 1001, 280, 5130, 476, 2420, 267, 476, 1708, 272, 269, 4873, 476, 1556, 267, 476, 1001, 280, 676, 5122, 273, 345, 269, 10281, 19172, 10431, 5295, 7233, 20233, 719, 269, 10281, 19172, 10431, 5295, 7233, 1703, 616, 3670, 2010, 540, 3334, 1031, 538, 519, 28176, 11460, 540, 519, 32394, 1379, 2030, 269, 1358, 616, 2481, 543, 13111, 267, 1852, 454, 6637, 4905, 910, 20233, 719, 540, 3154, 2599, 14617, 575, 839, 1115, 6155, 665, 343, 1547, 8525, 476, 274, 476, 279, 269, 966, 291, 4149, 476, 1001, 275, 268, 6187, 16692, 476, 271, 3066, 4200, 275, 5400, 1547, 476, 272, 269, 20233, 719, 540, 3154, 2599, 14617, 19698, 585, 5916, 1379, 543, 3002, 5108, 693, 1379, 2371, 8863, 11679, 589, 3154, 2599, 335, 10062, 575, 839, 564, 268, 13408, 513, 13674, 2599, 267, 11718, 267, 23993, 267, 3490, 7406, 543, 20387, 11460, 563, 288, 26365, 1379, 2030, 568, 606, 3167, 6721, 2030, 269, 634, 4492, 1031, 568, 1216, 799, 568, 513, 7791, 2707, 540, 1648, 543, 849, 519, 4492, 1031, 568, 5755, 30187, 267, 4508, 1030, 1221, 4492, 267, 2067, 2200, 267, 20879, 23918, 269, 634, 12708, 5057, 1031, 538, 713, 1062, 568, 27124, 267, 4425, 8814, 267, 5695, 321, 710, 267, 543, 9473, 27660, 269, 4826, 8928, 689, 513, 6802, 547, 4425, 8814, 3371, 5755, 568, 4429, 19061, 476, 271, 4343, 276, 918, 2088, 4437, 641, 1077, 476, 1556, 269, 276, 300, 310, 31246, 289, 5295, 7233, 269, 5741, 2140, 269, 918, 2088, 4437, 641, 1077, 476, 1556, 269, 276, 300, 310, 31246, 289, 5295, 7233, 269, 910, 1788, 1374, 3561, 476, 8146, 272, 22995, 9516, 910, 910, 476, 2764, 2904, 476, 1001, 274, 910, 2070, 3105, 910, 15428, 5464, 1544, 476, 5379, 22995, 10088, 1386, 476, 1626, 7325, 476, 1015, 910, 15418, 1867, 540, 454, 17471, 543, 4457, 9031, 26365, 5295, 7233, 12752, 267, 476, 1001, 279, 10369, 3194, 7797, 910, 26365, 5295, 7233, 12752, 267, 476, 1001, 274, 268, 1708, 274, 10369, 3194, 7797, 568, 513, 3318, 543, 538, 3829, 1353, 593, 519, 1699, 1533, 540, 519, 2518, 9031, 26365, 5295, 7233, 2872, 609, 513, 1445, 593, 519, 4457, 2344, 269, 17948, 623, 8976, 6881, 1863, 547, 2070, 454, 24456, 11768, 568, 519, 1034, 2500, 2168, 11460, 267, 2901, 4540, 610, 538, 4566, 540, 4853, 6703, 1775, 4318, 11460, 540, 6191, 267, 4393, 3937, 543, 3028, 13623, 547, 3035, 6574, 1071, 268, 867, 1588, 543, 4398, 540, 476, 275, 16039, 9093, 267, 10049, 267, 26682, 543, 10613, 538, 513, 2030, 563, 4696, 23615, 2316, 306, 4932, 19006, 3367, 713, 2376, 547, 1451, 827, 519, 1523, 267, 6859, 267, 3741, 267, 543, 2010, 540, 2030, 11768, 269, 10417, 540, 7233, 20233, 719, 634, 1523, 540, 2030, 11768, 949, 581, 4330, 607, 5205, 7233, 11768, 568, 513, 1544, 585, 2500, 3351, 5314, 540, 6703, 585, 519, 5478, 540, 2472, 5473, 513, 1034, 3608, 543, 22237, 11460, 540, 6191, 267, 2326, 2676, 291, 8543, 7233, 5071, 543, 20233, 719, 476, 276, 8940, 6993, 326, 686, 300, 3019, 269, 4467, 21602, 476, 272, 269, 4985, 540, 667, 8543, 7233, 5071, 543, 20233, 719, 7689, 476, 272, 269, 9537, 540, 667, 1515, 625, 543, 3131, 27720, 2470, 540, 5144, 476, 272, 269, 272, 4985, 4595, 3127, 568, 519, 3056, 2197, 538, 5144, 2504, 538, 519, 1158, 693, 513, 3728, 2557, 267, 621, 814, 1044, 1291, 547, 513, 991, 540, 1360, 454, 24456, 20233, 719, 7233, 11768, 1797, 519, 29916, 540, 519, 1585, 6703, 16491, 906, 267, 1570, 267, 812, 12741, 267, 3092, 269, 543, 2533, 540, 519, 2030, 1369, 519, 1858, 540, 519, 3135, 5697, 5892, 269, 7233, 11768, 5956, 609, 519, 1374, 540, 519, 12051, 2679, 543, 4422, 909, 547, 519, 4087, 543, 3350, 540, 513, 960, 3349, 269, 2353, 519, 6703, 899, 16491, 906, 267, 6151, 4429, 31088, 7233, 20233, 719, 267, 5822, 9990, 267, 6941, 519, 16097, 1031, 676, 3318, 9858, 547, 11768, 1184, 3937, 543, 10612, 1740, 267, 13602, 267, 2371, 267, 4609, 267, 543, 741, 7222, 2825, 2934, 538, 513, 2922, 267, 22237, 1259, 269, 898, 568, 6462, 609, 7515, 540, 9668, 9883, 267, 3652, 540, 14853, 267, 543, 9479, 540, 2259, 543, 4441, 563, 294, 4953, 667, 4953, 9751, 5358, 12813, 5588, 12813, 3198, 12813, 19611, 667, 25353, 12025, 543, 4390, 540, 519, 1770, 7392, 540, 7233, 1473, 3233, 30482, 32126, 748, 19032, 15788, 5665, 6138, 21984, 1570, 2256, 18967, 7006, 2255, 6138, 19554, 6138, 20306, 23308, 7233, 27519, 267, 2598, 8408, 18745, 9605, 10281, 7949, 3590, 563, 17556, 600, 1379, 2030, 7249, 4851, 267, 1374, 267, 543, 1852, 2473, 26820, 18961, 267, 272, 808, 542, 326, 30715, 267, 272, 962, 580, 340, 334, 9149, 272, 543, 32765, 836, 962, 269, 10557, 273, 901, 2376, 2488, 606, 7650, 540, 8093, 1922, 3241, 1379, 2030, 674, 293, 13048, 7249, 3120, 2389, 542, 267, 1374, 543, 2523, 267, 519, 1852, 2029, 267, 1312, 519, 6671, 543, 519, 4359, 4066, 269, 3689, 267, 513, 5618, 4367, 540, 674, 293, 13048, 17950, 543, 598, 8894, 9802, 476, 2764, 267, 476, 1708, 271, 15636, 19680, 12567, 7233, 5616, 6215, 1938, 21771, 18041, 17948, 22276, 269, 5437, 476, 278, 267, 476, 1001, 280, 269, 2904, 476, 1789, 267, 476, 1708, 271, 269, 12213, 752, 5689, 14653, 571, 269, 15636, 19680, 12567, 17948, 22276, 2671, 519, 2956, 540, 4677, 4529, 543, 9249, 538, 513, 16876, 1858, 1141, 2371, 267, 10786, 15969, 267, 18047, 616, 6738, 269, 2422, 713, 5131, 269, 10960, 543, 13812, 563, 20175, 2371, 5665, 896, 513, 2212, 2362, 982, 476, 2004, 544, 949, 581, 17941, 607, 1164, 268, 3650, 1379, 2371, 269, 8422, 1292, 2010, 540, 1164, 268, 3650, 1379, 7835, 949, 581, 20559, 539, 269, 589, 667, 1392, 542, 22575, 7392, 7233, 7612, 269, 4937, 11768, 543, 9043, 540, 513, 1164, 268, 3650, 4129, 542, 12324, 1646, 634, 1292, 2694, 540, 513, 1164, 268, 3650, 4129, 542, 12324, 1826, 2030, 616, 476, 272, 519, 649, 597, 2676, 273, 269, 6713, 6609, 540, 513, 5755, 30187, 1379, 2030, 589, 5755, 30187, 1379, 2030, 17236, 5755, 547, 3132, 5201, 269, 769, 513, 6093, 5755, 30187, 2030, 267, 972, 616, 5102, 591, 23924, 547, 1984, 519, 5755, 547, 513, 5386, 8869, 585, 8781, 538, 513, 13674, 12068, 540, 519, 15245, 269, 634, 3002, 3812, 689, 519, 8781, 540, 519, 5755, 12958, 9252, 693, 1164, 2837, 543, 2604, 563, 21801, 476, 1691, 267, 476, 1708, 272, 12253, 338, 19080, 5131, 4065, 17948, 22276, 269, 901, 10477, 543, 3860, 17948, 10959, 568, 3501, 585, 2870, 10694, 14245, 547, 13686, 707, 5098, 267, 10467, 267, 3785, 267, 543, 1454, 811, 269, 634, 10959, 2934, 476, 2190, 2189, 15942, 4904, 609, 10477, 12449, 267, 5546, 267, 543, 2609, 563, 31688, 19661, 545, 14346, 1379, 2371, 616, 3395, 6385, 585, 1312, 10626, 8397, 543, 7856, 1379, 5108, 3156, 269, 11087, 2388, 538, 3790, 9141, 676, 6639, 8441, 267, 11615, 540, 4336, 538, 5663, 267, 543, 10124, 538, 14104, 723, 4547, 3859, 1379, 454, 1260, 1706, 2581, 609, 8704, 268, 8690, 1239, 269, 4578, 689, 4540, 1379, 2371, 1677, 1449, 519, 14496, 540, 1585, 2959, 540, 1239, 267, 649, 723, 6394, 3977, 7403, 689, 1379, 2371, 538, 3127, 267, 799, 723, 1044, 538, 5106, 585, 693, 2547, 513, 1974, 540, 476, 277, 3275, 269, 901, 3977, 666, 581, 1031, 547, 20272, 2436, 519, 1239, 11378, 616, 4977, 610, 711, 563, 278, 268, 274, 3848, 476, 278, 29119, 817, 5295, 12518, 15937, 16065, 7797, 543, 32505, 593, 16581, 8738, 940, 3848, 476, 278, 19739, 6865, 19798, 31266, 2207, 12813, 3198, 4811, 476, 278, 269, 272, 595, 7838, 305, 7728, 19739, 6865, 19798, 31266, 2207, 12813, 3198, 4811, 17497, 972, 616, 8370, 13947, 1379, 2371, 5665, 538, 519, 5842, 808, 10394, 23936, 9503, 5794, 19438, 590, 297, 309, 5723, 267, 609, 1614, 13947, 1379, 2371, 602, 616, 4092, 3544, 540, 519, 590, 297, 309, 5723, 563, 2304, 2872, 4282, 1374, 585, 17948, 14245, 269, 22339, 1047, 618, 269, 901, 568, 513, 5131, 11633, 7233, 17948, 22276, 568, 513, 1863, 6881, 10959, 609, 519, 3239, 540, 519, 16403, 2284, 20610, 543, 8654, 538, 519, 3781, 269, 634, 14745, 3947, 513, 3318, 1413, 543, 4667, 3730, 585, 2872, 543, 12051, 1644, 14245, 563, 20175, 7233, 6513, 538, 14066, 17361, 14346, 12518, 269, 5071, 267, 6388, 543, 15418, 538, 513, 476, 280, 269, 275, 24448, 14346, 2030, 661, 706, 731, 18409, 747, 5336, 817, 6558, 476, 272, 267, 26548, 731, 12113, 17243, 4149, 534, 11219, 657, 552, 2073, 3933, 3821, 589, 4048, 579, 1965, 6261, 324, 562, 531, 9346, 476, 272, 267, 30511, 5395, 3757, 334, 4149, 15401, 4545, 320, 476, 273, 267, 24883, 623, 5995, 1723, 9539, 822, 553, 2073, 18112, 565, 717, 558, 529, 5174, 749, 332, 2863, 272, 476, 272, 595, 3951, 4753, 288, 27138, 15425, 267, 15379, 7177, 4972, 267, 14502, 2160, 540, 18280, 8205, 267, 4144, 21192, 476, 5038, 278, 7233, 320, 476, 273, 267, 30209, 267, 8050, 454, 288, 6046, 1379, 2030, 568, 513, 8143, 1379, 6728, 538, 799, 519, 3002, 2707, 568, 513, 6046, 19720, 269, 1306, 568, 6093, 538, 782, 6671, 8143, 1379, 10473, 519, 3002, 568, 1031, 547, 5352, 9252, 799, 11479, 513, 9252, 17081, 4448, 547, 513, 3167, 11718, 799, 7472, 5201, 269, 17437, 1379, 2371, 616, 2356, 2808, 547, 581, 3490, 4452, 4429, 20578, 1436, 18169, 269, 17461, 5071, 19024, 18041, 17361, 269, 7994, 1022, 10959, 1374, 2630, 3962, 1374, 2630, 568, 6719, 676, 476, 273, 15942, 269, 8437, 2630, 547, 14574, 606, 4244, 4282, 585, 713, 10959, 7822, 995, 623, 8976, 6249, 8476, 609, 6046, 910, 3267, 6215, 1938, 609, 6046, 910, 5755, 1379, 2030, 693, 3141, 23438, 3267, 15346, 1007, 6249, 609, 2230, 6728, 4429, 24456, 5071, 8863, 2894, 476, 26493, 3267, 10398, 532, 267, 5911, 267, 17901, 267, 3092, 1421, 543, 666, 946, 741, 11449, 1379, 547, 1205, 28774, 593, 1034, 3937, 269, 634, 661, 15425, 3549, 849, 723, 513, 1390, 4308, 540, 1995, 538, 2361, 4070, 267, 14791, 267, 4152, 267, 543, 3937, 10380, 269, 1358, 666, 4061, 7363, 4579, 547, 1628, 513, 2030, 585, 513, 7817, 14949, 454, 22913, 1101, 11804, 1344, 267, 1445, 593, 5070, 543, 14919, 1344, 269, 10312, 593, 2872, 3466, 267, 1445, 593, 1344 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1164, 2560, 960, 779, 31633, 2773, 543, 922, 16126, 2390, 2582, 8846, 538, 11852, 2230, 269, 14755, 1082, 4574, 267, 1614, 2835, 616, 13991, 14311, 547, 12747, 31633, 476, 2073, 476, 2073, 476, 1547, 634, 4130, 267, 519, 4336, 519, 3152, 31633, 540, 4786, 3615, 568, 2556, 269, 1306, 630, 14187, 18876, 267, 476, 1960, 272, 264, 2798, 856, 267, 10934, 4937, 1436, 568, 519, 2702, 547, 14458, 543, 1397, 8901, 1496, 10623, 2137, 609, 4087, 7923, 547, 873, 316, 3347, 607, 621, 568, 2938, 593, 519, 3618, 779, 2627, 1110, 8215, 883, 513, 4786, 269, 1284, 786, 1287, 946, 513, 23798, 30816, 2268, 540, 1362, 2824, 2032, 547, 5635, 519, 2824, 2032, 540, 538, 1673, 1339, 8846, 2066, 5121, 609, 4756, 31633, 2773, 543, 4983, 519, 882, 320, 2389, 687, 1222, 1063, 1362, 2824, 2032, 543, 2956, 269, 5565, 540, 519, 13654, 2609, 540, 1374, 602, 782, 1434, 7851, 1590, 6451, 616, 15796, 543, 3666, 269, 4595, 21056, 1404, 606, 1271, 1909, 538, 1259, 325, 4193, 4247, 267, 789, 723, 547, 581, 4857, 689, 519, 1239, 1305, 543, 1287, 3308, 1242, 14013, 269, 1924, 2484, 267, 649, 723, 14437, 827, 519, 2949, 2856, 540, 31633, 1107, 1210, 1239, 602, 568, 519, 2953, 1377, 540, 1469, 585, 707, 4786, 779, 4336, 269, 476, 272, 269, 272, 9502, 540, 10934, 4937, 1436, 269, 1677, 1174, 4786, 1374, 267, 543, 875, 7851, 960, 267, 621, 568, 3730, 547, 1294, 875, 4786, 1374, 2035, 1404, 856, 593, 513, 1483, 4786, 269, 634, 1034, 2487, 1713, 2534, 2560, 634, 31633, 1184, 6971, 519, 1239, 2450, 855, 25601, 519, 1271, 2095, 3270, 269, 2991, 519, 2095, 4786, 31633, 267, 513, 1305, 540, 16866, 2095, 1239, 610, 2095, 1239, 13421, 616, 3308, 1242, 593, 513, 2095, 4786, 269, 27588, 7851, 547, 581, 11617, 13267, 568, 606, 1148, 1106, 267, 543, 972, 616, 3003, 6030, 538, 7047, 2762, 13991, 547, 891, 3741, 269, 898, 814, 5129, 606, 1271, 1909, 538, 3246, 513, 8468, 585, 27300, 2093, 267, 5885, 513, 3060, 2792, 1851, 1004, 543, 5238, 538, 4786, 31633, 267, 543, 25640, 2238, 609, 824, 1382, 2516, 269, 6902, 634, 1382, 814, 13671, 593, 3067, 4328, 2489, 5314, 2360, 543, 593, 30228, 875, 891, 2360, 540, 2489, 5314, 19526, 883, 519, 7851, 941, 6027, 269, 4937, 1436, 568, 2877, 585, 1079, 4247, 281, 538, 519, 5542, 540, 4143, 1259, 325, 4193, 1344, 543, 538, 519, 14839, 540, 602, 1344, 971, 602, 621, 666, 581, 5612, 6956, 676, 519, 3593, 563, 27154, 29526, 9504, 267, 8571, 634, 15339, 2986, 8950, 3590, 267, 31828, 342, 664, 7233, 1473, 3233, 2107, 30482, 267, 12443, 21666, 622, 21311, 13507, 267, 1548, 12984, 634, 3689, 6478, 18023, 539, 769, 2296, 267, 7025, 8177, 2986, 5253, 932, 7860, 267, 595, 321, 572, 4147, 476, 1321, 10334, 3848, 476, 273, 11872, 267, 634, 24553, 2986, 2696, 769, 3776, 22032, 267, 774, 8974, 674, 2632, 31098, 267, 966, 643, 1329, 4643, 525, 19769, 518, 1546, 1188, 267, 6936, 569, 2107, 22427, 569, 267, 0, 763, 2136, 2276, 14130, 540, 25511, 6513, 563, 2752, 300, 312, 654, 2752, 2910, 17247, 27334, 299, 3041, 4041, 645, 2752, 305, 3722, 16775, 13698, 454, 303, 698, 1588, 610, 9012, 4032, 912, 763, 476, 3422, 271, 338, 941, 31341, 6681, 1296, 693, 1753, 585, 519, 6837, 543, 519, 13780, 269, 898, 729, 513, 8717, 6825, 676, 519, 26923, 540, 513, 5518, 543, 1079, 824, 7986, 3401, 267, 27632, 1824, 543, 9552, 538, 1082, 540, 519, 6082, 4872, 267, 10795, 2875, 19727, 267, 543, 513, 8375, 5951, 540, 6760, 593, 519, 10754, 269, 898, 729, 538, 713, 2916, 602, 519, 2475, 14130, 17388, 609, 519, 829, 14658, 532, 543, 11786, 3390, 540, 7784, 1852, 267, 513, 6560, 602, 19411, 730, 1310, 5216, 1296, 609, 519, 19142, 883, 1876, 540, 519, 1101, 6101, 32205, 20820, 9086, 538, 936, 476, 1789, 1296, 269, 15638, 3056, 547, 519, 8574, 540, 713, 9086, 616, 8947, 607, 616, 519, 9030, 5515, 945, 5280, 3337, 621, 269, 634, 14130, 13359, 2594, 568, 9916, 711, 1152, 547, 3313, 875, 938, 1876, 24237, 20366, 267, 855, 538, 810, 30138, 607, 2009, 267, 1946, 789, 20366, 607, 789, 1705, 269, 3525, 1881, 2278, 7493, 454, 268, 24205, 543, 4521, 0, 268, 6904, 540, 519, 1739, 568, 513, 1455, 1129, 540, 3834, 990, 1961, 6193, 8710, 888, 268, 1548, 616, 519, 476, 278, 2010, 540, 8710, 888, 268, 6904, 540, 519, 1739, 568, 513, 3735, 1129, 540, 8710, 888, 268, 1548, 616, 519, 1655, 10832, 540, 8710, 28866, 888, 268, 1548, 616, 4191, 540, 8710, 13525, 888, 268, 1548, 616, 519, 476, 279, 2010, 540, 8710, 888, 268, 1548, 8219, 616, 4299, 676, 8710, 888, 268, 1548, 568, 519, 1034, 1455, 2014, 540, 3834, 990, 1961, 6193, 8710, 888, 268, 1548, 616, 519, 2010, 540, 3834, 990, 1961, 6193, 8710, 888, 268, 6904, 540, 519, 1739, 568, 519, 3355, 1129, 540, 3834, 990, 1961, 6193, 8710, 888, 268, 1548, 547, 798, 952, 2576, 568, 538, 3834, 990, 1961, 6193, 8710, 888, 268, 1548, 616, 519, 476, 274, 5933, 540, 8710, 888, 268, 1215, 798, 596, 9156, 689, 8710, 888, 268, 1548, 568, 519, 8471, 1129, 540, 8710, 888, 268, 1215, 798, 596, 13209, 8710, 888, 268, 1548, 616, 4191, 540, 3834, 6016, 325, 4288, 888, 268, 1548, 568, 519, 1655, 2126, 585, 8710, 888, 268, 1548, 616, 519, 2185, 5933, 540, 8710, 888, 7617, 540, 519, 1739, 568, 513, 1455, 1129, 540, 3834, 990, 1961, 6193, 8710, 888, 4415, 606, 5945, 267, 519, 1034, 6654, 1129, 540, 3834, 990, 1961, 6193, 8710, 568, 513, 2603, 540, 11702, 563, 3719, 596, 4465, 1406, 1294, 621, 950, 519, 11702, 568, 8345, 3330, 707, 1560, 1317, 540, 606, 513, 20294, 31729, 332, 267, 1418, 3441, 267, 610, 28341, 8084, 6379, 563, 8448, 4191, 540, 3834, 990, 1961, 6193, 8710, 1331, 281, 21826, 26470, 10756, 1432, 616, 519, 476, 278, 2010, 540, 8710, 888, 1240, 269, 280, 288, 281, 9537, 540, 1744, 1442, 29797, 990, 1961, 6193, 1744, 1442, 5861, 31651, 8328, 1744, 1442, 269, 11917, 560, 10614, 1744, 1442, 6185, 626, 1026, 5737, 1744, 1442, 2529, 324, 10364, 269, 2304, 20942, 12519, 269, 32507, 28193, 6993, 1872, 476, 1724, 267, 476, 1708, 271, 454, 7617, 540, 519, 1739, 568, 513, 3735, 1129, 540, 8710, 888, 306, 22438, 4301, 5492, 3290, 267, 23731, 22202, 267, 10894, 3679, 2670, 543, 513, 4411, 804, 20632, 2960, 616, 3735, 4191, 540, 8710, 269, 634, 2619, 30986, 540, 2038, 3834, 990, 1961, 6193, 8710, 2882, 5409, 1203, 7976, 267, 21729, 27019, 560, 9689, 267, 13487, 14242, 267, 5714, 10593, 883, 519, 15466, 1062, 543, 6676, 2280, 30843, 563, 1432, 616, 519, 1655, 10832, 540, 8710, 28866, 888, 12218, 545, 4191, 1331, 5492, 3290, 267, 4028, 13942, 602, 3587, 21260, 267, 8519, 10729, 3977, 267, 543, 3579, 267, 804, 20632, 2960, 269, 28614, 2557, 4679, 607, 519, 1560, 10953, 10894, 3679, 2670, 689, 8710, 8094, 1432, 616, 4191, 540, 8710, 13525, 888, 763, 1292, 10835, 540, 8710, 568, 1970, 1973, 2604, 269, 4033, 2589, 1331, 4028, 267, 13719, 7244, 282, 4411, 267, 804, 20632, 2960, 282, 4028, 267, 4617, 13942, 282, 21994, 267, 535, 31021, 267, 610, 8467, 563, 1432, 616, 519, 476, 279, 2010, 540, 8710, 888, 763, 1292, 2010, 540, 8710, 1331, 281, 25205, 328, 8328, 8710, 630, 16746, 547, 2295, 2042, 264, 29797, 990, 1961, 6193, 8710, 630, 8619, 4310, 676, 1932, 2370, 1973, 4320, 264, 2304, 20942, 12519, 8710, 630, 8619, 4310, 676, 13027, 5114, 264, 5353, 10364, 8710, 630, 16746, 547, 5563, 264, 32507, 28193, 8710, 630, 8619, 4310, 676, 3441, 547, 519, 8401, 1062, 264, 20225, 476, 2537, 267, 476, 1001, 280, 454, 1432, 8219, 616, 4299, 676, 8710, 888, 5278, 540, 519, 3123, 540, 8710, 1331, 29252, 11702, 267, 4049, 17236, 543, 11983, 5945, 269, 589, 6749, 538, 1973, 2604, 6971, 519, 2095, 540, 5135, 543, 5567, 547, 513, 1268, 779, 4105, 8219, 971, 607, 741, 2634, 267, 2295, 543, 9641, 563, 1432, 568, 519, 1034, 1455, 2014, 540, 3834, 990, 1961, 6193, 8710, 888, 29797, 990, 1961, 6193, 8710, 4386, 607, 513, 1267, 540, 2901, 1973, 2530, 610, 29414, 5714, 2530, 269, 12920, 16964, 20723, 8710, 568, 3834, 990, 1961, 6193, 8710, 689, 1973, 2530, 269, 3004, 9964, 5945, 568, 676, 2484, 519, 1034, 1455, 2014, 540, 20178, 20723, 8710, 563, 1432, 616, 519, 2010, 540, 3834, 990, 1961, 6193, 8710, 888, 29797, 990, 1961, 6193, 8710, 568, 5258, 883, 2185, 1016, 18196, 630, 273, 2567, 12920, 16964, 20723, 8710, 267, 4611, 689, 8650, 20178, 720, 1510, 2101, 2571, 5160, 5945, 269, 3004, 9964, 20178, 20723, 8710, 267, 4611, 689, 8650, 20178, 720, 609, 2571, 5160, 5945, 543, 267, 538, 1840, 267, 5305, 540, 4761, 1062, 1437, 2209, 563, 7617, 540, 519, 1739, 568, 519, 3355, 1129, 540, 3834, 990, 1961, 6193, 8710, 888, 15900, 2589, 540, 3834, 990, 1961, 8926, 1331, 15677, 267, 9854, 267, 8467, 267, 19818, 267, 543, 21994, 269, 634, 811, 4049, 4191, 543, 2589, 616, 1419, 2404, 609, 3834, 990, 1961, 6193, 8710, 269, 1452, 1331, 23731, 22202, 267, 19826, 2670, 267, 14159, 543, 9221, 1928, 267, 5492, 3290, 267, 512, 778, 344, 15258, 807, 267, 4411, 3946, 543, 3952, 267, 543, 24482, 19249, 2790, 4567, 563, 1432, 547, 798, 952, 2576, 568, 538, 3834, 990, 1961, 6193, 8710, 888, 1103, 519, 29291, 267, 1246, 891, 3268, 281, 16605, 519, 1268, 6899, 543, 3636, 630, 1729, 2057, 3834, 1278, 8926, 1040, 5970, 519, 1268, 9114, 6366, 609, 519, 3952, 24850, 827, 476, 1321, 6279, 630, 1789, 17744, 264, 547, 2333, 10009, 269, 2560, 1684, 711, 2285, 12862, 676, 5023, 28560, 1268, 568, 2348, 606, 13027, 5114, 267, 1521, 519, 13027, 5114, 267, 952, 596, 917, 875, 21457, 3688, 2507, 1892, 20225, 476, 2537, 267, 476, 1001, 280, 454, 1432, 616, 519, 476, 274, 5933, 540, 8710, 888, 4306, 8980, 2464, 5508, 15562, 8016, 298, 22873, 658, 1875, 3491, 326, 4809, 5123, 269, 3682, 326, 4809, 5123, 15660, 337, 516, 23983, 3942, 563, 1692, 798, 596, 9156, 689, 8710, 888, 299, 599, 519, 12287, 13560, 267, 952, 25792, 269, 29175, 622, 519, 1268, 779, 3952, 827, 476, 1321, 6279, 8259, 2212, 267, 8405, 267, 610, 1394, 568, 13676, 610, 596, 14353, 7745, 12048, 610, 1850, 7633, 269, 2560, 10670, 31214, 267, 952, 3026, 10354, 269, 1403, 519, 1268, 568, 711, 7244, 610, 7244, 4667, 5906, 569, 4617, 281, 2560, 6164, 5136, 2365, 20070, 3753, 269, 16605, 12287, 24953, 543, 1290, 13025, 269, 2560, 7427, 5455, 12282, 534, 476, 1428, 267, 476, 1708, 271, 454, 1432, 568, 519, 8471, 1129, 540, 8710, 888, 4537, 1442, 267, 610, 3834, 6016, 325, 4288, 267, 568, 8519, 2500, 10009, 4929, 16283, 6765, 540, 5135, 547, 8031, 269, 20050, 540, 2038, 630, 4818, 839, 730, 264, 8710, 1331, 512, 778, 344, 15258, 807, 267, 4057, 2960, 2681, 267, 3579, 7933, 787, 2960, 267, 543, 16607, 31479, 1201, 650, 563, 1692, 798, 596, 13209, 8710, 888, 307, 3949, 1522, 1331, 281, 26108, 2604, 6482, 269, 4658, 538, 8710, 723, 1360, 1970, 1973, 2604, 9950, 937, 10635, 31651, 6945, 630, 4488, 294, 610, 661, 298, 294, 1040, 901, 2656, 267, 1875, 514, 15230, 1449, 5638, 519, 5122, 2534, 540, 707, 2295, 1210, 22809, 7923, 547, 707, 2960, 269, 2560, 30446, 2473, 11920, 269, 2560, 10552, 4255, 269, 2560, 661, 577, 18201, 328, 6945, 269, 2560, 9315, 13519, 29259, 1436, 630, 30231, 6945, 1040, 15037, 476, 280, 267, 476, 1708, 272, 454, 1432, 616, 4191, 540, 3834, 6016, 325, 4288, 888, 1432, 616, 519, 4191, 543, 2589, 540, 1439, 268, 6716, 3834, 6016, 325, 4288, 538, 9190, 25687, 286, 310, 1301, 267, 1166, 19813, 2960, 949, 581, 1459, 538, 519, 2038, 11775, 540, 25687, 269, 2560, 16816, 1229, 2790, 4567, 267, 1073, 339, 1495, 566, 267, 1964, 16531, 20166, 5554, 22202, 610, 606, 22202, 1813, 547, 3834, 6016, 325, 4288, 15660, 548, 639, 610, 15534, 15108, 4992, 269, 15037, 476, 276, 267, 476, 1001, 280, 454, 1432, 568, 519, 1655, 2126, 585, 8710, 888, 299, 599, 519, 1268, 1524, 543, 21592, 519, 7953, 543, 3952, 5594, 267, 8259, 596, 1589, 713, 949, 2014, 1928, 610, 2417, 5945, 269, 5901, 519, 1268, 1869, 543, 1810, 1406, 1847, 1864, 610, 1200, 8259, 2556, 269, 10670, 31214, 952, 519, 1268, 2982, 1100, 4191, 540, 1272, 267, 971, 607, 711, 7244, 267, 23472, 610, 3001, 563, 1432, 616, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10690, 543, 8963, 3927, 269, 3131, 29411, 666, 581, 12349, 593, 922, 1378, 585, 1840, 547, 707, 9053, 9544, 7848, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 519, 14297, 2749, 540, 17747, 6807, 267, 972, 729, 513, 13085, 1762, 10196, 3957, 3220, 269, 1325, 13860, 945, 5249, 24091, 538, 1200, 2978, 547, 1628, 519, 1158, 781, 1101, 4052, 7061, 2780, 269, 2701, 5156, 602, 713, 14262, 2029, 1131, 22499, 6080, 543, 1689, 1004, 781, 2729, 11014, 269, 11531, 267, 2066, 4884, 267, 5030, 7665, 267, 606, 4810, 11360, 518, 609, 30940, 24500, 267, 2141, 3168, 585, 2081, 547, 17908, 1007, 4066, 780, 7804, 269, 1325, 13860, 6368, 16309, 538, 2679, 513, 2324, 18634, 910, 513, 11741, 3926, 1572, 834, 5226, 9017, 1701, 9521, 8106, 5904, 1210, 11353, 630, 271, 610, 476, 272, 1070, 2372, 9017, 8246, 844, 23605, 5827, 540, 4540, 538, 2789, 2829, 8195, 1813, 547, 922, 2189, 7061, 3601, 269, 898, 5921, 2372, 9017, 1223, 1184, 1950, 6310, 2042, 2484, 811, 7561, 982, 1022, 8106, 2780, 780, 2750, 322, 1243, 827, 1200, 8798, 267, 1352, 14376, 1200, 2025, 2852, 3659, 267, 18238, 267, 513, 19784, 267, 936, 547, 6542, 875, 2372, 9017, 1568, 269, 3683, 6995, 267, 1352, 6045, 267, 834, 5331, 596, 1616, 547, 1265, 513, 1808, 1297, 5311, 1369, 959, 650, 687, 540, 2338, 282, 1247, 513, 5929, 2780, 1522, 1491, 1296, 267, 2372, 9017, 786, 2347, 519, 4305, 3592, 14678, 15323, 292, 878, 6659, 1010, 32071, 4900, 538, 9983, 267, 6998, 267, 834, 3719, 1018, 952, 2576, 3765, 4926, 713, 6909, 3432, 585, 683, 325, 13895, 5301, 12482, 2704, 13860, 17328, 4310, 267, 16734, 519, 5683, 14196, 269, 834, 2791, 6318, 4570, 4145, 2437, 1352, 15861, 269, 834, 4913, 267, 1169, 6639, 13120, 814, 1761, 4220, 7258, 2640, 269, 1284, 991, 547, 2327, 6042, 1832, 10605, 609, 5647, 3010, 19602, 267, 7665, 1185, 1044, 552, 2314, 323, 549, 6137, 3544, 1325, 13860, 781, 2777, 267, 27278, 676, 519, 2446, 540, 1412, 31642, 636, 9538, 1261, 7307, 547, 14229, 752, 883, 519, 2978, 3735, 835, 3781, 543, 4448, 2372, 9017, 547, 1010, 15291, 267, 15691, 547, 11523, 24290, 6119, 646, 9364, 21687, 4505, 269, 10738, 3764, 267, 2372, 9017, 1232, 760, 22363, 519, 9479, 24672, 269, 28214, 1714, 730, 267, 7665, 4769, 1405, 5469, 1325, 13860, 10024, 519, 4055, 2394, 621, 729, 1932, 3735, 780, 257, 16655, 256, 1548, 616, 596, 3257, 1934, 8119, 18796, 1325, 13860, 267, 28280, 855, 849, 8049, 780, 290, 4381, 1055, 9856, 267, 7665, 588, 2459, 1229, 267, 834, 296, 1862, 7795, 1862, 342, 5896, 547, 1294, 707, 8798, 909, 2673, 1701, 22695, 1681, 1325, 13860, 781, 17600, 267, 646, 30890, 2372, 9017, 543, 2451, 9292, 3072, 569, 780, 3086, 3222, 540, 519, 8594, 15054, 676, 18977, 1569, 267, 1325, 13860, 6785, 1352, 1590, 957, 3728, 269, 2060, 18238, 781, 948, 267, 1352, 4682, 1857, 609, 1200, 1382, 267, 7713, 519, 7207, 543, 829, 2812, 2404, 609, 7061, 7384, 269, 5980, 2968, 7722, 538, 9840, 3823, 7834, 267, 14590, 267, 543, 7939, 269, 1306, 513, 1267, 267, 6608, 5001, 3323, 3384, 4507, 547, 11574, 2009, 6057, 540, 7061, 2029, 780, 1103, 4334, 267, 7665, 5185, 4049, 4539, 585, 27560, 6213, 1239, 269, 3571, 3527, 6039, 607, 513, 12576, 540, 519, 2956, 540, 3743, 2623, 1256, 538, 519, 3068, 540, 3078, 3255, 3177, 676, 5969, 12967, 2029, 780, 7437, 891, 2621, 267, 1896, 3407, 1272, 4245, 7153, 281, 27919, 2509, 1866, 262, 5380, 11942, 3972, 543, 9316, 282, 19078, 2932, 14014, 721, 689, 5739, 4539, 282, 1656, 1966, 9010, 15217, 5012, 547, 1732, 3435, 982, 1367, 3646, 269, 1635, 8508, 891, 3741, 267, 8103, 6763, 547, 2744, 11104, 3585, 689, 8441, 899, 7061, 7384, 1510, 18731, 3106, 543, 3354, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 798, 7061, 5904, 8428, 689, 8106, 5904, 543, 1018, 616, 519, 1761, 6286, 540, 713, 3017, 888, 23797, 636, 5904, 616, 21739, 1114, 689, 8106, 5904, 538, 2474, 540, 741, 4393, 1379, 543, 519, 1259, 789, 4558, 543, 13861, 1344, 780, 12218, 673, 5904, 946, 11353, 547, 4558, 543, 13861, 1344, 267, 6466, 7061, 5904, 946, 844, 23605, 269, 1627, 889, 1080, 616, 7061, 7344, 3615, 602, 666, 2291, 538, 2789, 2829, 8195, 269, 901, 1797, 602, 7061, 5904, 666, 1685, 9273, 543, 4194, 2042, 538, 513, 1259, 602, 8106, 5904, 3112, 780, 3080, 1761, 29943, 540, 713, 3017, 568, 602, 7061, 5904, 616, 1454, 5488, 982, 8106, 5904, 950, 621, 2501, 547, 1978, 2010, 540, 2042, 267, 971, 607, 26458, 543, 3406, 6620, 269, 901, 1223, 723, 1713, 6286, 585, 25563, 267, 607, 7061, 5904, 1223, 5732, 2736, 1082, 540, 519, 14238, 14565, 602, 616, 4867, 1031, 547, 5150, 1239, 780, 5194, 1761, 29943, 568, 555, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 2817, 5169, 7130, 568, 513, 24245, 3390, 602, 5170, 547, 1860, 2043, 538, 1585, 3344, 540, 741, 2729, 267, 1519, 7694, 267, 8027, 267, 2069, 267, 543, 1569, 547, 2533, 269, 901, 1576, 1770, 786, 5490, 7184, 883, 519, 1523, 540, 3084, 5169, 7130, 689, 513, 1514, 2257, 5133, 267, 6313, 922, 1686, 267, 6436, 267, 543, 19183, 538, 4207, 2486, 269, 1284, 786, 2263, 875, 713, 1106, 540, 7130, 12969, 338, 609, 824, 9163, 543, 2833, 267, 543, 1865, 1761, 2994, 585, 5466, 543, 7303, 621, 780, 2414, 2253, 267, 1577, 781, 5581, 1018, 649, 1611, 676, 834, 20139, 5169, 1701, 4340, 547, 519, 772, 2529, 269, 26321, 25477, 31621, 8189, 630, 7417, 8016, 1070, 3084, 5169, 4016, 547, 834, 1492, 2197, 1141, 513, 1268, 729, 4535, 267, 610, 267, 811, 3622, 267, 519, 2197, 689, 799, 513, 1268, 5526, 547, 2097, 1701, 901, 666, 849, 7854, 606, 1367, 781, 2686, 4282, 267, 1893, 267, 20020, 267, 610, 2168, 5920, 269, 2817, 5169, 7130, 4386, 950, 2576, 568, 5701, 15490, 569, 1759, 593, 891, 4162, 267, 2436, 12799, 610, 17697, 569, 780, 30399, 267, 3084, 5169, 7130, 814, 1044, 5702, 13615, 547, 2152, 540, 11776, 543, 8473, 1852, 269, 769, 519, 3735, 476, 866, 628, 543, 2038, 476, 736, 628, 5553, 267, 585, 1383, 267, 1082, 2829, 5293, 4031, 28142, 519, 2924, 540, 4457, 11082, 267, 28285, 538, 519, 4457, 1401, 2424, 2920, 540, 476, 6642, 273, 267, 799, 3927, 17049, 782, 4457, 31356, 689, 10024, 519, 2136, 2276, 269, 6684, 267, 1282, 2622, 2782, 4083, 267, 5545, 4892, 941, 7142, 883, 2028, 618, 13122, 1813, 547, 12194, 827, 3084, 3354, 543, 9228, 20247, 5819, 1399, 269, 1452, 616, 2312, 8320, 540, 8763, 7130, 1759, 593, 3084, 5169, 780, 4913, 267, 3084, 5169, 7130, 666, 849, 581, 811, 11029, 543, 1202, 573, 1190, 269, 1280, 3236, 267, 12820, 949, 3180, 12886, 1996, 5520, 945, 3717, 934, 5034, 2296, 267, 1256, 952, 1346, 5520, 616, 4628, 11727, 585, 741, 6009, 269, 8092, 331, 3581, 949, 20549, 547, 10519, 6306, 906, 547, 4557, 1218, 1759, 593, 741, 9228, 4914, 1145, 610, 14542, 9821, 269, 12140, 949, 3111, 547, 13918, 519, 10409, 543, 2686, 2115, 540, 1053, 689, 3309, 10080, 267, 3056, 547, 19635, 4093, 543, 3255, 269, 2353, 540, 891, 7653, 13822, 17697, 610, 9940, 3029, 540, 3084, 5169, 7130, 780, 3080, 1271, 3069, 538, 1620, 3084, 5169, 7130, 568, 28622, 267, 799, 11363, 519, 2081, 538, 799, 1114, 3029, 540, 15746, 16937, 543, 2170, 269, 1280, 1383, 267, 513, 4807, 540, 2681, 949, 1995, 3084, 5169, 7130, 8335, 982, 513, 3043, 4807, 610, 513, 812, 540, 2681, 267, 607, 1352, 8188, 2789, 17887, 540, 30886, 269, 28249, 1275, 2337, 721, 1174, 875, 9583, 3982, 6688, 540, 3961, 267, 971, 607, 5198, 267, 4008, 267, 543, 3084, 5169, 267, 616, 2965, 10562, 543, 20102, 17923, 780, 5194, 1883, 1523, 568, 519, 2856, 540, 2890, 12000, 11306, 267, 610, 11029, 267, 4948, 1793, 2074, 543, 967, 793, 885, 602, 5968, 20935, 610, 3541, 690, 2218, 6835, 547, 2818, 540, 12790, 2516, 269, 5843, 12000, 11306, 666, 1491, 1082, 3029, 267, 8151, 689, 24668, 827, 31126, 547, 10054, 827, 513, 1268, 781, 15114, 4567, 269, 2755, 14350, 789, 949, 3100, 1507, 543, 21030, 6681, 267, 15921, 592, 8271, 789, 666, 723, 1713, 5626, 543, 3929, 5222, 267, 7700, 547, 4606, 540, 10072, 267, 32238, 267, 543, 17181, 780, 13233, 5169, 7130, 849, 12969, 338, 609, 6626, 6848, 9840, 1472, 11776, 3609, 543, 8473, 11268, 269, 1306, 14519, 20920, 609, 2152, 899, 3768, 29545, 9194, 267, 21345, 19268, 25557, 267, 543, 31705, 9993, 267, 621, 568, 1898, 547, 2015, 519, 1761, 4539, 540, 891, 3664, 585, 4299, 2950, 269, 1280, 3236, 267, 4507, 602, 3077, 1808, 3084, 885, 610, 4525, 666, 22652, 4540, 28639, 543, 11475, 267, 2870, 15417, 2666, 585, 25641, 2853, 269, 17957, 267, 8537, 4507, 602, 5431, 543, 1871, 4763, 666, 948, 6536, 3152, 1620, 543, 2463, 1851, 1114, 2516, 780, 1103, 2474, 540, 6604, 543, 6304, 3646, 267, 972, 616, 1896, 4485, 602, 1397, 9153, 269, 2290, 4640, 3322, 2810, 4656, 543, 2069, 827, 3084, 5169, 7130, 267, 4543, 1004, 2697, 543, 4161, 741, 1378, 12886, 543, 10054, 269, 6271, 1935, 7740, 593, 5009, 4763, 543, 10014, 1369, 5238, 267, 4180, 602, 3375, 6194, 3157, 2992, 519, 2115, 543, 5380, 540, 782, 2146, 2818, 269, 7053, 267, 14223, 543, 17933, 3646, 6322, 693, 4657, 25641, 4507, 543, 2853, 666, 1404, 513, 2565, 1909, 538, 14027, 9698, 543, 5126, 585, 13840, 12790, 2516, 780, 9961, 713, 1576, 1770, 267, 649, 786, 4983, 3084, 5169, 7130, 998, 513, 3099, 540, 14485, 267, 5373, 593, 14172, 689, 4610, 971, 607, 15257, 267, 6530, 267, 19795, 267, 543, 2797, 2257, 269, 1635, 3695, 519, 1950, 6384, 540, 1379, 267, 17979, 267, 543, 8635, 602, 896, 12340, 713, 7613, 267, 649, 4126, 547, 15052, 707, 1620, 540, 922, 3123, 267, 4539, 267, 543, 1761, 3435, 269, 11086, 267, 938, 3804, 568, 547, 7668, 596, 547, 1831, 5483, 267, 7722, 11051, 538, 5935, 513, 811, 12581, 543, 1175, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 299, 20235, 5525, 20043, 454, 11862, 476, 1911, 1107, 25043, 540, 13751, 5525, 630, 577, 6548, 1576, 1297, 689, 476, 1911, 288, 547, 476, 1911, 4098, 1975, 1321, 13776, 476, 275, 4559, 267, 11759, 630, 295, 267, 9399, 994, 1607, 568, 513, 12666, 6575, 1576, 2966, 547, 6338, 1053, 547, 519, 13654, 10850, 543, 3444, 16162, 9918, 5380, 689, 23408, 543, 1514, 9443, 602, 10646, 3656, 2090, 607, 513, 14046, 2361, 269, 898, 2488, 513, 13354, 543, 3140, 4367, 547, 3029, 267, 2093, 267, 5238, 267, 543, 1949, 540, 1876, 543, 25349, 19280, 269, 898, 8711, 2596, 7811, 2042, 543, 14046, 2409, 585, 1620, 2055, 540, 1876, 543, 5126, 563, 11862, 476, 6200, 1107, 1977, 4521, 1299, 13751, 30543, 267, 476, 275, 4559, 267, 9351, 10001, 610, 966, 454, 763, 2136, 2276, 814, 513, 3656, 1062, 602, 2919, 689, 922, 2296, 5072, 883, 513, 7294, 1305, 540, 3652, 543, 3906, 602, 1590, 4196, 519, 2115, 513, 1804, 267, 5313, 1533, 609, 513, 6422, 2344, 4346, 269, 968, 13563, 4521, 1299, 13751, 30543, 892, 12220, 1977, 1876, 267, 1312, 6086, 633, 543, 27564, 267, 543, 519, 5238, 602, 3337, 543, 791, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 14298, 18426, 13316, 1315, 26521, 1315, 2817, 18882, 26521, 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, 9549, 22384, 7869, 692, 8702, 547, 11572, 3163, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 1945, 1572, 9549, 22384, 7869, 269, 5620, 596, 2479, 4862, 707, 3237, 610, 3610, 6158, 827, 1373, 513, 19391, 520, 610, 513, 17044, 286, 2107, 6148, 789, 5018, 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 ]
[ 519, 3791, 1318, 540, 645, 269, 744, 568, 711, 2282, 547, 667, 269, 715, 568, 9361, 3791, 547, 519, 2451, 540, 744, 267, 945, 568, 2034, 1318, 540, 700, 267, 945, 568, 6849, 6587, 547, 519, 8998, 540, 519, 5858, 269, 589, 568, 711, 6587, 547, 645, 543, 715, 269, 8056, 18957, 7023, 540, 645, 8188, 6587, 4287, 630, 302, 653, 5242, 4287, 1797, 952, 835, 540, 519, 7023, 540, 645, 8188, 2509, 519, 4099, 1287, 824, 7023, 540, 645, 8188, 6587, 547, 4099, 543, 13030, 268, 951, 320, 6393, 304, 1556, 269, 5808, 1851, 1739, 18795, 8772, 547, 1318, 540, 700, 888, 5416, 264, 645, 454, 6357, 264, 744, 454, 6262, 264, 589, 454, 5560, 264, 715, 454, 16216, 264, 667, 692, 304, 1321, 269, 5808, 568, 9361, 3791, 547, 519, 2451, 540, 589, 888, 5416, 264, 744, 454, 6357, 264, 645, 454, 6262, 264, 631, 454, 5560, 264, 667, 454, 16216, 264, 7183, 540, 891, 692, 304, 1724, 269, 5808, 1851, 1739, 18795, 7525, 2451, 540, 645, 888, 5416, 264, 715, 454, 6357, 264, 700, 454, 6262, 264, 589, 454, 5560, 264, 744, 454, 16216, 264, 667, 692, 304, 1691, 269, 5808, 568, 2034, 1318, 547, 595, 888, 5416, 264, 645, 454, 6357, 264, 667, 454, 6262, 264, 631, 454, 5560, 264, 744, 454, 16216, 264, 700, 692, 304, 1428, 269, 1215, 1082, 1004, 616, 9361, 1063, 667, 543, 744, 267, 950, 10203, 538, 29628, 4287, 689, 744, 888, 5416, 264, 8422, 454, 6357, 264, 9050, 454, 6262, 264, 2290, 454, 5560, 264, 5565, 454, 16216, 264, 7183, 540, 891, 692, 306, 5357, 308, 16739, 692, 272, 6185, 454, 273, 9950, 454, 274, 5861, 454, 275, 6185, 454, 276, 9950, 454, 277, 11065, 454, 278, 5861, 454, 279, 6185, 454, 280, 9950, 454, 1015, 6993, 454, 1556, 9950, 454, 1321, 11065, 454, 1724, 6993, 454, 1691, 5861, 454, 1428, 5861, 692, 276, 30914, 543, 9399, 290, 2433, 25705, 5999, 585, 15316, 7813, 1401, 4461, 19648, 630, 272, 268, 276, 2567, 769, 519, 1739, 2055, 267, 519, 6698, 7711, 267, 9736, 267, 1948, 8096, 543, 4939, 616, 1031, 609, 519, 1739, 10096, 269, 2048, 303, 7711, 1627, 685, 1797, 2048, 303, 568, 683, 30965, 1862, 0, 258, 4325, 5338, 909, 8943, 609, 21070, 1436, 692, 16829, 593, 5130, 476, 1428, 267, 476, 1001, 277, 692, 1103, 513, 3105, 2022, 649, 6746, 1227, 12193, 519, 3002, 3830, 609, 606, 8763, 13113, 3017, 19862, 267, 835, 540, 519, 12863, 476, 273, 291, 2042, 538, 10230, 2079, 780, 1103, 713, 2022, 649, 616, 2469, 547, 3432, 909, 602, 19106, 609, 930, 6152, 1436, 269, 11778, 1397, 649, 666, 811, 982, 5595, 519, 3432, 540, 938, 3009, 609, 930, 2241, 2242, 630, 8117, 849, 602, 649, 666, 1118, 621, 5906, 569, 3500, 952, 8045, 27235, 6393, 763, 3009, 1806, 2630, 616, 538, 30731, 267, 855, 596, 666, 1491, 5413, 540, 6152, 1436, 609, 824, 14648, 4654, 971, 607, 5124, 607, 1134, 269, 1411, 666, 1224, 811, 827, 6152, 1436, 540, 30731, 3009, 1934, 780, 3721, 476, 272, 281, 19461, 1125, 25159, 692, 8253, 1454, 2242, 538, 713, 3296, 4849, 602, 649, 786, 5372, 562, 343, 543, 562, 344, 609, 5286, 543, 946, 513, 4009, 17450, 585, 16134, 780, 260, 22873, 658, 1125, 25159, 454, 19049, 284, 269, 22650, 282, 4449, 4939, 5503, 1900, 454, 660, 338, 284, 4335, 282, 4449, 4939, 15893, 540, 942, 3268, 454, 10401, 284, 269, 4905, 282, 25639, 4939, 31516, 886, 639, 2032, 454, 331, 284, 272, 282, 4449, 672, 4939, 10915, 2397, 3259, 6676, 454, 12639, 284, 2004, 282, 4449, 567, 4939, 15893, 540, 2798, 630, 343, 543, 586, 994, 11459, 284, 331, 14370, 12639, 268, 272, 5148, 10085, 284, 11459, 282, 8587, 4939, 4134, 4038, 1242, 3845, 692, 260, 307, 17687, 543, 16755, 6740, 538, 476, 273, 291, 14249, 454, 340, 815, 21325, 18828, 5148, 579, 16282, 815, 21325, 18828, 5148, 579, 344, 344, 815, 21325, 18828, 5148, 7531, 3721, 476, 273, 281, 15233, 21940, 776, 17148, 692, 1103, 519, 1739, 6810, 649, 786, 946, 12612, 13890, 538, 5835, 547, 1397, 519, 3312, 3009, 267, 3039, 547, 1397, 3044, 6152, 1436, 267, 543, 2699, 547, 1397, 30000, 6152, 1436, 269, 769, 519, 3312, 3009, 630, 10964, 578, 264, 649, 8520, 539, 998, 519, 1079, 8728, 547, 4019, 519, 10465, 2175, 692, 260, 289, 895, 776, 17148, 267, 3312, 8520, 454, 1721, 1775, 284, 272, 281, 12639, 454, 340, 263, 272, 267, 328, 6661, 272, 3248, 754, 692, 1721, 1775, 284, 272, 281, 12639, 454, 340, 9217, 267, 12639, 6661, 272, 3248, 754, 7531, 1607, 568, 513, 835, 6066, 19106, 865, 972, 3884, 1406, 1713, 942, 10710, 676, 4657, 713, 267, 855, 7488, 649, 666, 798, 1732, 676, 1312, 28976, 543, 3432, 532, 909, 938, 3009, 780, 260, 289, 895, 776, 17148, 267, 4939, 21070, 1436, 1510, 14253, 532, 454, 340, 263, 272, 267, 281, 6661, 340, 263, 272, 267, 281, 11924, 272, 3248, 340, 263, 281, 267, 12639, 6661, 340, 263, 281, 267, 12639, 11924, 272, 3248, 340, 263, 272, 267, 12639, 6661, 272, 282, 7531, 2171, 1185, 547, 2953, 519, 1871, 540, 693, 519, 11282, 18159, 272, 267, 12639, 7751, 1317, 616, 4946, 547, 621, 7466, 269, 1924, 1946, 4769, 1406, 649, 1175, 1491, 513, 20105, 540, 519, 5044, 267, 899, 476, 273, 281, 12639, 286, 3371, 568, 1018, 621, 5654, 899, 609, 30000, 6152, 1436, 692, 260, 289, 895, 776, 17148, 267, 6152, 1436, 609, 14253, 532, 454, 4820, 284, 273, 281, 12639, 3248, 340, 263, 272, 267, 281, 6661, 340, 263, 272, 267, 281, 11924, 272, 3248, 340, 263, 4820, 267, 12639, 6661, 340, 263, 4820, 267, 12639, 11924, 272, 282, 7531, 1607, 5654, 513, 2370, 12137, 518, 267, 855, 2965, 814, 513, 1713, 1764, 593, 2196, 942, 269, 11778, 540, 513, 25162, 6476, 609, 476, 1015, 267, 1822, 267, 1822, 1449, 2665, 568, 3254, 538, 519, 3349, 2630, 692, 22731, 8520, 476, 1724, 269, 5379, 521, 21070, 1436, 609, 14253, 532, 476, 3451, 269, 3066, 521, 21070, 1436, 1510, 14253, 532, 476, 1015, 269, 3066, 521, 692, 3383, 1247, 30000, 6152, 1436, 5654, 8799, 543, 3085, 1405, 2154, 513, 15494, 267, 621, 811, 982, 2468, 1255, 11056, 942, 780, 3721, 476, 274, 281, 5384, 31230, 692, 763, 811, 1271, 2242, 2097, 609, 519, 3009, 3330, 540, 519, 942, 8520, 267, 865, 1577, 781, 6521, 938, 1445, 972, 269, 3371, 568, 519, 3312, 3009, 780, 260, 22731, 31230, 454, 1721, 512, 284, 272, 281, 660, 338, 692, 260, 9773, 322, 519, 32085, 476, 273, 526, 14216, 29719, 267, 2578, 1229, 538, 6611, 454, 1721, 1775, 284, 273, 281, 12639, 268, 272, 454, 1721, 795, 284, 273, 281, 12639, 268, 272, 454, 5060, 343, 9217, 25814, 6661, 263, 340, 9217, 266, 272, 25814, 9984, 273, 265, 340, 9217, 25814, 11924, 340, 9217, 268, 272, 25814, 4297, 14370, 11459, 8203, 273, 3248, 8500, 344, 9217, 25814, 6661, 263, 340, 9217, 25814, 266, 272, 9984, 273, 265, 340, 9217, 25814, 11924, 340, 9217, 25814, 268, 272, 4297, 14370, 11276, 8203, 273, 3248, 754, 454, 754, 692, 260, 10000, 11845, 18323, 267, 1280, 2072, 538, 5384, 454, 1721, 1775, 284, 273, 281, 12639, 268, 272, 454, 1721, 795, 284, 273, 281, 12639, 268, 272, 454, 340, 9217, 25814, 6661, 340, 9217, 25814, 11924, 10401, 16732, 5060, 343, 9217, 25814, 11924, 8500, 344, 9217, 25814, 4297, 265, 19049, 3248, 754, 454, 754, 454, 754, 7531, 2171, 666, 14458, 713, 3009, 7494, 609, 6152, 1436, 269, 634, 3009, 2630, 3340, 28303, 267, 855, 10607, 2196, 942, 20427, 780, 260, 21070, 1436, 1510, 14253, 532, 454, 1721, 512, 284, 272, 281, 660, 338, 692, 260, 9773, 322, 519, 32085, 476, 273, 526, 14216, 29719, 267, 2578, 1229, 538, 6611, 454, 1721, 1775, 284, 273, 281, 12639, 268, 272, 454, 5060, 343, 9217, 267, 281, 6661, 263, 340, 9217, 266, 272, 267, 281, 9984, 273, 265, 340, 9217, 267, 281, 11924, 340, 9217, 268, 272, 267, 281, 4297, 14370, 11459, 8203, 273, 3248, 8500, 344, 263, 281, 267, 328, 6661, 263, 340, 263, 281, 267, 328, 266, 272, 9984, 273, 265, 340, 263, 281, 267, 328, 11924, 340, 263, 281, 267, 328, 268, 272, 4297, 14370, 11276, 8203, 273, 3248, 754, 454, 5060, 343, 263, 273, 267, 272, 6661, 271, 282, 4939, 14585, 14431, 454, 8500, 344, 18828, 267, 12639, 268, 272, 6661, 271, 282, 4939, 14585, 14431, 454, 260, 8074, 267, 649, 798, 711, 991, 547, 2953, 824, 7460, 2798, 2094, 519, 579, 16282, 267, 8500, 344, 284, 271, 910, 621, 1131, 581, 10930, 547, 555, 334, 692, 260, 10000, 11845, 18323, 267, 1280, 2072, 538, 5384, 454, 340, 284, 340, 266, 10401, 16732, 5060, 343, 266, 8500, 344, 12684, 19049, 3248, 754, 7531, 9616, 602, 649, 1185, 547, 2899, 1586, 1118, 513, 15494, 1310, 519, 6152, 1242, 9273, 269, 3371, 568, 1018, 621, 5654, 899, 609, 30000, 6152, 1436, 602, 9327, 1405, 2154, 28303, 692, 260, 21070, 1436, 609, 14253, 532, 454, 4820, 284, 273, 281, 12639, 268, 272, 3248, 1721, 512, 284, 272, 281, 660, 338, 692, 260, 9773, 322, 519, 32085, 476, 273, 526, 14216, 29719, 267, 2578, 1229, 538, 6611, 454, 1721, 1775, 284, 273, 281, 12639, 268, 272, 454, 5060, 343, 9217, 267, 4820, 6661, 263, 340, 9217, 266, 272, 267, 4820, 9984, 273, 265, 340, 9217, 267, 4820, 11924, 340, 9217, 268, 272, 267, 4820, 4297, 14370, 11459, 8203, 273, 3248, 8500, 344, 263, 4820, 267, 328, 6661, 263, 340, 263, 4820, 267, 328, 266, 272, 9984, 273, 265, 340, 263, 4820, 267, 328, 11924, 340, 263, 4820, 267, 328, 268, 272, 4297, 14370, 11276, 8203, 273, 3248, 754, 692, 260, 10000, 11845, 18323, 267, 1280, 2072, 538, 5384, 454, 340, 284, 340, 266, 10401, 16732, 5060, 343, 266, 8500, 344, 12684, 19049, 3248, 754, 7531, 5629, 1586, 713, 5654, 1454, 12137, 518, 855, 607, 649, 1294, 2630, 267, 519, 21100, 616, 2899, 1586, 1454, 14887, 780, 763, 6476, 540, 782, 1614, 2409, 2196, 476, 1789, 2053, 609, 476, 4335, 271, 942, 3268, 1142, 616, 3254, 538, 519, 1739, 3349, 780, 22731, 8520, 476, 1839, 269, 4366, 521, 21070, 1436, 609, 14253, 532, 476, 10019, 269, 4029, 521, 21070, 1436, 1510, 14253, 532, 476, 1015, 269, 6924, 521, 692, 4415, 5265, 8045, 6152, 1436, 649, 666, 20427, 3432, 909, 938, 3009, 267, 855, 607, 519, 2164, 1397, 621, 1590, 581, 2944, 5402, 543, 7318, 547, 2327, 1312, 6111, 630, 2421, 1818, 519, 1697, 28303, 264, 543, 3432, 780, 5278, 1257, 930, 5048, 907, 0, 258, 2836, 322, 692, 14006, 539, 676, 18238, 320, 692, 13729, 909, 543, 6218, 519, 17386, 7533, 585, 519, 1858, 540, 519, 2627, 6383, 676, 2847, 6295, 519, 7455, 827, 519, 586, 14289, 780, 344, 815, 13306, 678, 339, 269, 630, 343, 264, 1341, 476, 273, 692, 14188, 596, 865, 1454, 256, 2439, 272, 269, 25961, 692, 2791, 991, 24324, 780, 344, 815, 630, 30501, 6975, 3287, 4297, 1341, 476, 273, 454, 344, 815, 630, 30501, 6975, 3287, 1341, 476, 273, 11723, 273, 269, 25961, 692, 296, 5734, 2022, 267, 1175, 607, 594, 7691, 1018, 596, 5921, 269, 590, 13446, 780, 7712, 519, 24324, 616, 1472, 519, 630, 343, 13211, 9767, 1034, 2693, 1611, 2676, 344, 815, 630, 30501, 6975, 3287, 4297, 1341, 476, 273, 780, 1012, 5381, 5999, 692, 272, 269, 12693, 20145, 4083, 270, 7656, 692, 288, 269, 4855, 519, 7533, 540, 519, 1739, 1599, 269, 6715, 1537, 540, 630, 343, 18414, 263, 343, 266, 272, 4297, 15848, 269, 645, 269, 5590, 909, 543, 6218, 519, 7533, 540, 630, 273, 18414, 343, 264, 585, 519, 1858, 540, 519, 2627, 6383, 676, 2847, 6295, 519, 7455, 827, 519, 1535, 14289, 689, 476, 275, 547, 476, 280, 269, 1280, 851, 6693, 273, 269, 12693, 6715, 1537, 20145, 692, 8340, 519, 1858, 540, 519, 2627, 6383, 676, 2847, 6295, 519, 2016, 7455, 827, 519, 586, 14289, 269, 476, 279, 15383, 317, 273, 284, 273, 344, 317, 277, 266, 272, 2073, 476, 272, 27045, 344, 27045, 273, 269, 9684, 596, 865, 1454, 907, 2433, 994, 274, 269, 12693, 2836, 322, 692, 13729, 909, 543, 6218, 519, 17386, 7533, 585, 519, 1858, 540, 519, 2627, 6383, 676, 2847, 6295, 519, 7455, 827, 519, 1535, 14289, 269, 586, 815, 630, 343, 23326, 270, 277, 264, 1341, 630, 272, 270, 273, 343, 1070, 476, 272, 19749, 353, 1535, 18016, 476, 273, 454, 275, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 272, 281, 24531, 519, 20717, 540, 20907, 13488, 692, 5970, 596, 2479, 26927, 3139, 540, 3695, 1007, 4025, 267, 5870, 1114, 1004, 267, 543, 7680, 3309, 4529, 286, 6496, 519, 2856, 540, 10707, 519, 1158, 10161, 596, 267, 855, 798, 596, 1589, 602, 621, 1522, 581, 1932, 7199, 286, 4270, 267, 649, 723, 1434, 3377, 256, 898, 781, 2009, 547, 1294, 519, 1158, 543, 3251, 1369, 707, 6578, 269, 901, 3184, 786, 6338, 596, 547, 519, 1523, 540, 6578, 2951, 1107, 513, 1187, 543, 27093, 1259, 547, 2263, 519, 1158, 1510, 8840, 519, 4871, 780, 1432, 568, 20907, 13488, 2496, 289, 644, 1326, 2951, 1797, 4466, 3860, 2081, 547, 3643, 1007, 4025, 1510, 7836, 1454, 2724, 269, 1879, 596, 979, 593, 513, 6578, 7552, 267, 596, 1869, 1205, 547, 2972, 782, 519, 10761, 543, 4898, 540, 12423, 1007, 18353, 267, 855, 596, 1413, 585, 811, 10097, 3681, 2059, 519, 1259, 269, 1411, 1522, 3442, 14949, 22581, 267, 899, 3984, 1564, 610, 4630, 652, 904, 267, 3079, 540, 16681, 20730, 269, 2107, 267, 596, 1223, 1265, 1863, 2238, 543, 18845, 538, 519, 1858, 2864, 982, 9878, 585, 14427, 19150, 269, 1635, 1818, 5100, 5079, 899, 891, 267, 596, 666, 1832, 707, 9276, 1970, 1247, 2348, 606, 5863, 7045, 2439, 3963, 7994, 20907, 13488, 2496, 2467, 616, 865, 1082, 4128, 1946, 6578, 2951, 568, 513, 9735, 4781, 585, 1762, 17701, 899, 596, 256, 3689, 267, 621, 2636, 596, 547, 3643, 811, 4025, 2094, 596, 4465, 1405, 581, 7836, 607, 1454, 2724, 269, 5994, 1373, 2111, 547, 2263, 2789, 4872, 610, 2477, 1282, 707, 16314, 3079, 540, 1175, 835, 1317, 596, 10710, 909, 593, 3790, 269, 9578, 267, 6578, 2951, 7512, 596, 547, 1900, 856, 540, 707, 4313, 7997, 543, 2119, 1007, 1919, 269, 5502, 540, 23578, 547, 15805, 344, 9634, 267, 596, 949, 2170, 609, 17137, 267, 6492, 8076, 2199, 1426, 267, 543, 1451, 827, 741, 2189, 9821, 543, 5389, 269, 4107, 11932, 267, 6578, 2951, 11414, 3407, 1272, 1983, 971, 607, 4058, 267, 3375, 6194, 267, 13916, 267, 543, 3743, 7836, 6208, 780, 29936, 540, 20907, 13488, 692, 8170, 1576, 267, 6578, 2951, 849, 2501, 609, 922, 1378, 1305, 540, 2591, 269, 1280, 1383, 267, 596, 949, 991, 547, 1544, 707, 15143, 1134, 6619, 540, 942, 547, 5150, 519, 1655, 9388, 269, 3958, 267, 596, 1522, 7237, 6397, 9276, 2059, 519, 1259, 267, 799, 3340, 2656, 3206, 543, 8112, 269, 1809, 1810, 1405, 5855, 910, 891, 2591, 1152, 1039, 547, 519, 2631, 540, 22920, 543, 9547, 596, 1745, 1310, 6707, 10188, 707, 3460, 269, 2060, 2259, 267, 9639, 267, 543, 5876, 267, 596, 3513, 1831, 513, 605, 693, 5883, 707, 2200, 543, 11981, 6909, 2833, 1510, 936, 4944, 2056, 780, 7476, 27973, 547, 10812, 2439, 3086, 602, 596, 1174, 1018, 6578, 2951, 568, 543, 875, 14785, 621, 666, 581, 267, 1577, 781, 4685, 4514, 883, 519, 1585, 3344, 540, 6578, 2951, 2429, 713, 1433, 269, 1284, 3513, 3382, 3584, 971, 607, 9494, 585, 707, 7552, 267, 7446, 10097, 2943, 6899, 22581, 267, 4466, 10464, 22655, 267, 9001, 1857, 6283, 267, 543, 5275, 1863, 630, 528, 5176, 1863, 264, 2238, 269, 1924, 10544, 707, 30618, 267, 2322, 593, 707, 24413, 11058, 267, 543, 6443, 721, 593, 713, 13858, 3460, 998, 519, 1158, 540, 6578, 2951, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21615, 1046, 532, 593, 513, 13858, 7045, 2066, 519, 8608, 568, 513, 5326, 3838, 676, 1082, 267, 855, 620, 553, 267, 606, 8900, 23129, 4667, 547, 1796, 538, 519, 1259, 269, 21824, 711, 267, 32603, 331, 755, 3613, 4459, 523, 20339, 267, 585, 972, 616, 2081, 547, 844, 26067, 707, 1202, 520, 4192, 19818, 585, 2951, 1256, 950, 707, 4871, 2272, 20998, 513, 3046, 1066, 729, 339, 14657, 269, 16259, 547, 23365, 3054, 538, 519, 22539, 1158, 540, 6578, 2951, 267, 1141, 1169, 29784, 12523, 543, 4199, 6888, 12081, 338, 18678, 269, 3245, 11552, 691, 1117, 21889, 543, 5728, 12404, 25498, 547, 5260, 11803, 6283, 554, 2931, 543, 535, 2607, 531, 905, 8463, 267, 713, 9159, 3391, 786, 27472, 1125, 707, 12823, 607, 621, 28807, 519, 11580, 540, 3695, 713, 3304, 9317, 4541, 1247, 707, 22836, 2611, 1928, 2685, 1769, 269, 16258, 523, 707, 10160, 10964, 1206, 267, 703, 516, 3671, 16831, 6162, 282, 621, 779, 942, 547, 5490, 883, 519, 1148, 540, 8608, 2389, 8527, 1154, 593, 513, 15524, 652, 2590, 6578, 563, 18698, 519, 10417, 540, 20907, 13488, 454, 8139, 519, 12694, 540, 13488, 532, 593, 513, 570, 697, 20907, 454, 9199, 767, 532, 593, 513, 9395, 6578, 666, 581, 513, 18447, 4305, 267, 855, 609, 6297, 4058, 543, 4199, 6888, 267, 621, 568, 9090, 1093, 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, 8080, 547, 713, 1576, 1770, 782, 827, 2871, 3660, 7335, 256, 1411, 1522, 581, 11842, 267, 1018, 4010, 568, 11461, 2542, 286, 4270, 267, 621, 781, 513, 3450, 4640, 1031, 676, 3610, 547, 948, 1053, 1831, 1732, 3988, 269, 898, 3322, 1507, 2516, 540, 1053, 945, 616, 693, 2147, 2542, 2157, 4947, 1927, 547, 1224, 513, 1433, 6074, 1175, 585, 873, 269, 634, 4116, 1287, 10274, 519, 1895, 998, 5717, 543, 2238, 1759, 593, 519, 1433, 789, 4312, 1224, 780, 3086, 596, 1522, 581, 3206, 267, 1946, 798, 649, 991, 11461, 2542, 952, 649, 2907, 917, 875, 547, 1224, 286, 4270, 267, 1256, 1310, 649, 4312, 4121, 519, 9238, 540, 2542, 267, 972, 781, 1869, 865, 1454, 811, 547, 1451, 256, 1635, 10283, 538, 11461, 2542, 267, 649, 666, 2087, 938, 8223, 1983, 267, 6863, 267, 543, 2565, 3206, 5759, 269, 9578, 267, 621, 781, 513, 1390, 1259, 547, 3605, 1007, 543, 4277, 2835, 2439, 4131, 803, 2285, 596, 606, 1383, 540, 875, 11461, 2542, 1568, 269, 2913, 781, 2161, 596, 543, 1614, 824, 15032, 616, 5116, 538, 513, 11461, 2542, 1895, 1317, 596, 2811, 782, 2324, 593, 3478, 1732, 693, 1210, 2796, 10881, 547, 4137, 856, 7164, 1913, 1247, 2542, 269, 2659, 4116, 23297, 513, 1433, 585, 707, 1895, 602, 814, 930, 4101, 6863, 1913, 269, 1306, 596, 1224, 519, 1433, 1927, 267, 596, 2097, 2066, 513, 2262, 596, 1810, 1405, 917, 269, 5502, 540, 1236, 6235, 936, 621, 267, 707, 4116, 7512, 596, 547, 946, 2796, 10881, 547, 2119, 547, 4137, 856, 1018, 519, 2262, 1797, 269, 2701, 12134, 2055, 899, 267, 834, 1432, 1281, 519, 1964, 540, 519, 4845, 2995, 721, 8119, 610, 834, 1432, 1131, 1118, 2631, 538, 713, 851, 540, 519, 1650, 8119, 8625, 267, 596, 543, 707, 1895, 2818, 1865, 2009, 10096, 2394, 596, 1745, 8746, 596, 4312, 23125, 621, 856, 269, 3414, 713, 1184, 267, 596, 2811, 8026, 1271, 2542, 2994, 602, 786, 948, 596, 1831, 513, 6793, 5467, 2949, 780, 5194, 4324, 540, 11461, 2542, 568, 602, 621, 2636, 721, 547, 2259, 7234, 2835, 609, 938, 9905, 269, 2991, 18138, 513, 3184, 610, 3296, 267, 707, 4116, 949, 2307, 2055, 899, 267, 834, 3963, 1705, 519, 1915, 798, 602, 8119, 610, 834, 1692, 798, 596, 1589, 519, 1915, 7959, 1318, 1631, 8119, 9181, 532, 891, 2055, 2337, 15052, 938, 1620, 540, 519, 1433, 543, 18791, 938, 2565, 3206, 1983, 269, 3958, 267, 4687, 938, 4555, 543, 8369, 609, 1142, 824, 666, 1291, 547, 4241, 7391, 543, 1007, 4030, 780, 13010, 267, 11461, 2542, 27875, 721, 547, 1585, 11964, 543, 4589, 602, 649, 949, 711, 7237, 6382, 269, 3776, 4116, 5402, 2824, 338, 5931, 602, 5447, 609, 938, 4690, 543, 1699, 2542, 1377, 269, 6884, 1352, 949, 3442, 513, 8642, 3209, 267, 513, 15923, 2376, 267, 610, 513, 6965, 4015, 1107, 4376, 602, 4991, 721, 9599, 827, 2542, 256, 1656, 2094, 1169, 2875, 14509, 5594, 8335, 267, 1373, 6534, 547, 3309, 5931, 5849, 3025, 9060, 1945, 789, 2972, 780, 1103, 5758, 267, 11461, 2542, 568, 513, 3532, 1907, 602, 2337, 721, 1831, 6793, 3988, 676, 3246, 3255, 547, 2259, 1271, 2542, 2994, 267, 4497, 538, 6209, 5717, 609, 9905, 267, 543, 2263, 1114, 2010, 540, 3332, 269, 5457, 267, 4742, 513, 9952, 5467, 3217, 942, 543, 4674, 267, 855, 609, 5583, 689, 938, 3610, 543, 1489, 689, 938, 8284, 15032, 267, 649, 666, 12260, 519, 9059, 540, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 263, 274, 8792, 1224, 994, 5278, 1453, 2408, 547, 2048, 332, 698, 1227, 685, 4584, 909, 2542, 1141, 1866, 6560, 267, 2523, 1346, 609, 1565, 7965, 971, 607, 27577, 269, 1924, 875, 666, 649, 1711, 513, 2178, 2542, 5748, 585, 20231, 3214, 888, 30681, 2974, 13871, 595, 23813, 267, 519, 13653, 540, 2974, 13871, 2835, 543, 17546, 2659, 30947, 267, 5156, 602, 513, 4396, 5748, 538, 2542, 568, 1898, 585, 1453, 547, 1332, 883, 2635, 4079, 269, 3571, 4876, 729, 6131, 547, 4543, 1453, 1020, 741, 2542, 1983, 543, 5355, 1569, 547, 2542, 269, 1452, 3741, 3366, 547, 519, 5137, 540, 938, 1360, 1101, 3014, 267, 2048, 5938, 778, 2659, 30947, 547, 3367, 9957, 6206, 547, 922, 1646, 729, 1620, 519, 2257, 3297, 875, 1453, 1451, 547, 1224, 563, 12867, 543, 7855, 723, 5249, 585, 5756, 547, 1174, 519, 3157, 602, 20690, 2542, 269, 901, 3573, 1560, 540, 960, 2882, 3388, 689, 2090, 593, 519, 1279, 3856, 12117, 540, 2542, 6044, 2409, 543, 7459, 267, 547, 3270, 4362, 689, 2634, 18767, 538, 5969, 12967, 23798, 1382, 22475, 563, 763, 544, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10817, 3660, 7335, 257, 607, 851, 540, 834, 3633, 24102, 1315, 9752, 1315, 23527, 1315, 7335, 1299, 1912, 9582, 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, 10610, 30142, 6638, 543, 8682, 5025, 322, 1061, 766, 692, 7072, 1384, 5978, 2486, 814, 1279, 1044, 12735, 4240, 676, 32601, 4441, 540, 5898, 602, 666, 1419, 1291, 547, 2942, 1582, 268, 13548, 543, 1970, 1582, 12635, 269, 901, 1576, 1770, 786, 2263, 519, 1523, 540, 1560, 25273, 543, 1582, 14092, 1061, 766, 998, 519, 7828, 540, 3332, 267, 4481, 2519, 593, 519, 1568, 540, 1079, 9565, 15023, 267, 681, 2940, 3493, 652, 516, 543, 29527, 334, 9315, 1400, 269, 1452, 5830, 946, 741, 1148, 1106, 547, 4161, 6848, 8155, 543, 3895, 513, 5048, 540, 10343, 543, 2648, 585, 13951, 543, 1866, 269, 3414, 741, 960, 267, 649, 786, 4983, 519, 2081, 538, 799, 2686, 6386, 3337, 938, 11994, 540, 6000, 543, 2015, 2994, 585, 14237, 513, 2318, 1582, 268, 13548, 780, 4089, 2290, 281, 4197, 10610, 30142, 6638, 543, 8682, 5025, 322, 1061, 766, 692, 6524, 11362, 883, 519, 5339, 2079, 267, 621, 781, 1898, 547, 1174, 1018, 649, 1611, 676, 1560, 25273, 543, 1582, 14092, 1061, 766, 269, 2311, 922, 4295, 267, 1560, 25273, 568, 827, 8508, 543, 14120, 782, 4703, 267, 7488, 540, 2450, 267, 3337, 267, 2681, 267, 610, 2702, 269, 898, 7512, 721, 547, 5431, 602, 972, 568, 1100, 971, 3364, 607, 513, 3501, 1560, 543, 602, 3025, 19262, 2463, 543, 15683, 780, 20236, 14092, 1061, 766, 4422, 1688, 538, 1688, 609, 1560, 25273, 543, 4016, 547, 519, 2259, 540, 16561, 543, 15962, 13951, 267, 20924, 543, 782, 269, 898, 1797, 9301, 602, 19870, 3085, 1405, 2291, 543, 602, 649, 616, 782, 2189, 2043, 609, 9342, 543, 12755, 269, 1635, 8026, 1582, 14092, 1061, 766, 267, 649, 666, 1628, 6015, 543, 6043, 267, 3850, 721, 547, 2661, 18668, 543, 811, 16180, 2729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1405, 2024, 547, 1174, 2439, 296, 723, 519, 1657, 543, 594, 1589, 519, 1101, 1900, 568, 547, 1265, 519, 2040, 540, 519, 1079, 2338, 1412, 320, 262, 543, 1412, 322, 3299, 865, 1035, 815, 476, 280, 269, 634, 2040, 568, 536, 692, 1721, 713, 13392, 4082, 267, 1035, 815, 476, 274, 1535, 476, 274, 815, 476, 280, 543, 536, 815, 910, 273, 692, 296, 1589, 594, 1631, 991, 547, 1265, 519, 2188, 540, 476, 280, 2439, 296, 1294, 476, 272, 267, 476, 274, 543, 476, 280, 692, 763, 1966, 594, 1631, 1294, 568, 972, 568, 1100, 2040, 540, 891, 547, 1118, 910, 273, 267, 865, 594, 993, 12758, 1934, 693, 713, 1448, 2496, 12179, 821, 917, 1018, 594, 993, 3257, 4636, 888, 1892, 7325, 476, 2190, 628, 476, 1001, 272, 267, 476, 1321, 281, 5392, 6751, 454, 306, 1241, 454, 2710, 596, 917, 519, 5806, 5364, 568, 912, 7445, 6234, 667, 284, 321, 317, 273, 268, 275, 659, 14204, 888, 2791, 723, 281, 513, 14720, 543, 524, 865, 596, 666, 5173, 621, 2047, 563, 1892, 7325, 476, 2190, 628, 476, 1001, 272, 267, 476, 1321, 281, 2004, 6751, 454, 5522, 6737, 454, 32621, 1384, 23192, 17397, 676, 6424, 5682, 454, 274, 343, 317, 273, 910, 476, 273, 343, 1341, 274, 454, 1729, 1608, 659, 3634, 519, 5806, 3729, 540, 519, 13392, 4082, 692, 7445, 6234, 1422, 18773, 284, 321, 317, 273, 268, 275, 659, 259, 568, 519, 5806, 3729, 780, 7445, 6234, 536, 15871, 273, 267, 349, 320, 284, 274, 267, 349, 315, 261, 349, 322, 284, 274, 259, 865, 4399, 6234, 1422, 18773, 284, 8987, 273, 8203, 273, 268, 275, 263, 274, 7565, 274, 6661, 268, 3953, 14204, 1892, 7325, 476, 2190, 628, 476, 1001, 272, 267, 476, 1321, 281, 4649, 6751, 454, 21837, 5682, 454, 32621, 1384, 23192, 17397, 676, 590, 1241, 454, 2710, 596, 917, 519, 5806, 5364, 568, 912, 7445, 6234, 667, 284, 321, 317, 273, 268, 275, 659, 14204, 888, 2791, 723, 281, 513, 14720, 543, 524, 865, 596, 666, 5173, 621, 2047, 780, 1692, 1281, 910, 476, 5392, 3280, 2496, 296, 4769, 1405, 917, 667, 815, 536, 317, 273, 910, 476, 275, 659, 267, 4352, 621, 1281, 1413, 1360, 2147, 547, 519, 13392, 3830, 536, 21762, 536, 317, 273, 910, 275, 659, 1315, 273, 320, 454, 1892, 7325, 476, 2190, 628, 476, 1001, 272, 267, 476, 4905, 281, 876, 6751, 454, 5522, 6737, 454, 32621, 1384, 23192, 17397, 676, 6424, 5682, 454, 1692, 1281, 910, 476, 5392, 3280, 2496, 296, 4769, 1405, 917, 667, 815, 536, 317, 273, 910, 476, 275, 659, 267, 4352, 621, 1281, 1413, 1360, 2147, 547, 519, 13392, 3830, 536, 21762, 536, 317, 273, 910, 275, 659, 1315, 273, 320, 692, 5649, 16253, 1948, 274, 5402, 269, 898, 568, 2953, 269, 634, 2626, 568, 4399, 6234, 910, 3953, 14204, 1892, 7325, 476, 2190, 628, 476, 1001, 272, 267, 476, 4905, 281, 4962, 6751, 454, 21837, 5682, 454, 32621, 1384, 23192, 17397, 676, 18573, 454, 5649, 16253, 1948, 274, 5402, 269, 898, 568, 2953, 269, 634, 2626, 568, 4399, 6234, 910, 3953, 6911, 12552, 782, 585, 707, 948, 267, 594, 1175, 5249, 621, 856, 269, 536, 317, 273, 1101, 267, 519, 910, 476, 273, 3587, 513, 2318, 950, 16302, 267, 1287, 519, 1587, 4341, 267, 1287, 10208, 689, 519, 16302, 1871, 547, 815, 910, 476, 3953, 563, 1892, 7325, 476, 2190, 628, 476, 1001, 272, 267, 476, 4905, 281, 5400, 6751, 454, 306, 1241, 454, 28646, 1945, 1271, 267, 952, 667, 283, 271, 267, 798, 596, 917, 1018, 602, 1797, 286, 6496, 519, 29236, 12969, 519, 1535, 14289, 538, 1978, 1448, 4433, 21663, 4429, 1892, 7325, 476, 2190, 628, 476, 1001, 272, 267, 476, 4905, 281, 1626, 6751, 454, 21837, 5682, 454, 32621, 1384, 23192, 17397, 676, 590, 1241, 454, 28646, 1945, 1271, 267, 952, 667, 283, 271, 267, 798, 596, 917, 1018, 602, 1797, 286, 6496, 519, 29236, 12969, 519, 1535, 14289, 538, 1978, 1448, 4433, 21663, 27250, 296, 1522, 581, 4636, 855, 621, 1223, 581, 13288, 547, 513, 2942, 3070, 2496, 4002, 713, 1383, 282, 1535, 317, 273, 1341, 1535, 910, 476, 1321, 815, 476, 271, 692, 4754, 594, 946, 519, 13392, 4542, 2496, 2252, 865, 568, 621, 1152, 519, 9981, 593, 519, 1283, 1899, 896, 519, 4009, 3597, 602, 1058, 581, 4009, 12082, 267, 1287, 7941, 1287, 2901, 1039, 610, 1016, 847, 519, 6967, 536, 888, 1892, 7325, 476, 2190, 628, 476, 1001, 272, 267, 476, 4905, 281, 1839, 6751, 454, 306, 1241, 454, 32621, 1384, 23192, 17397, 676, 6424, 5682, 454, 296, 1522, 581, 4636, 855, 621, 1223, 581, 13288, 547, 513, 2942, 3070, 2496, 4002, 713, 1383, 282, 1535, 317, 273, 1341, 1535, 910, 476, 1321, 815, 476, 271, 692, 4754, 594, 946, 519, 13392, 4542, 2496, 2252, 865, 568, 621, 1152, 519, 9981, 593, 519, 1283, 1899, 896, 519, 4009, 3597, 602, 1058, 581, 4009, 12082, 267, 1287, 7941, 1287, 2901, 1039, 610, 1016, 847, 519, 6967, 536, 2496, 3086, 267, 621, 666, 581, 849, 1271, 547, 917, 1946, 596, 2811, 12719, 519, 5806, 5364, 269, 31598, 596, 3513, 1059, 811, 827, 602, 563, 3719, 952, 596, 5173, 281, 4399, 6234, 476, 271, 284, 1314, 317, 273, 17070, 343, 25239, 259, 799, 666, 581, 12193, 609, 519, 13392, 4542, 267, 596, 2811, 2301, 532, 519, 1448, 4433, 264, 1141, 519, 29236, 12969, 338, 519, 1535, 14289, 267, 1317, 972, 4399, 6234, 586, 284, 271, 8961, 1631, 596, 666, 10646, 3529, 2665, 912, 268, 4399, 6234, 667, 283, 271, 8961, 519, 29236, 3085, 1405, 12969, 338, 519, 1535, 14289, 693, 782, 267, 865, 972, 616, 1100, 12969, 2798, 543, 865, 1100, 3070, 563, 268, 4399, 6234, 667, 284, 271, 8961, 972, 29236, 12969, 338, 519, 1535, 14289, 267, 972, 616, 1079, 3160, 3435, 563, 268, 4399, 6234, 667, 285, 271, 8961, 519, 29236, 12969, 338, 519, 1535, 14289, 267, 972, 616, 1079, 1114, 12969, 2798, 543, 865, 1079, 1114, 3435, 563, 1892, 7325, 476, 2190, 628, 476, 1001, 272, 267, 476, 4905, 281, 3374, 6751, 454, 21837, 5682, 454, 32621, 1384, 23192, 17397, 676, 590, 1241, 454, 3086, 267, 621, 666, 581, 849, 1271, 547, 917, 1946, 596, 2811, 12719, 519, 5806, 5364, 269, 31598, 596, 3513, 1059, 811, 827, 602, 563, 3719, 952, 596, 5173, 281, 4399, 6234, 476, 271, 284, 1314, 317, 273, 17070, 343, 25239, 259, 799, 666, 581, 12193, 609, 519, 13392, 4542, 267, 596, 2811, 2301, 532, 519, 1448, 4433, 264, 1141, 519, 29236, 12969, 338, 519, 1535, 14289, 267, 1317, 972, 4399, 6234, 586, 284, 271, 8961, 1631, 596, 666, 10646, 3529, 2665, 912, 268, 4399, 6234, 667, 283, 271, 8961, 519, 29236, 3085, 1405, 12969, 338, 519, 1535, 14289, 693, 782, 267, 865, 972, 616, 1100, 12969, 2798, 543, 865, 1100, 3070, 563, 268, 4399, 6234, 667, 284, 271, 8961, 972, 29236, 12969, 338, 519, 1535, 14289, 267, 972, 616, 1079, 3160, 3435, 563, 268, 4399, 6234, 667, 285, 271, 8961, 519, 29236, 12969, 338, 519, 1535, 14289, 267, 972, 616, 1079, 1114, 12969, 2798, 543, 865, 1079, 1114, 3435, 780, 19950, 532, 8631, 799, 594, 993, 1565, 267, 594, 723, 5249, 856, 602, 594, 723, 594, 1589, 1079, 11507, 267, 519, 2318, 8905, 1373, 476, 274, 1210, 519, 3830, 780, 1607, 568, 1018, 594, 1705, 16963, 268, 272, 1341, 610, 910, 4009, 3597, 476, 272, 317, 273, 910, 476, 275, 1535, 476, 272, 910, 476, 1321, 454, 273, 1535, 476, 272, 692, 284, 476, 274, 692, 28775, 594, 3893, 602, 1318, 888, 1892, 7325, 476, 2190, 628, 476, 1001, 272, 267, 476, 4905, 281, 7906, 6751, 454, 306, 1241, 454, 2791, 723, 1336, 835, 3070, 267, 1317, 4399, 6234, 667, 285, 271, 8961, 972, 616, 1079, 1114, 3435, 563, 2791, 723, 1336, 912, 7445, 6234, 1535, 318, 272, 7807, 2765, 24877, 272, 10954, 6912, 346, 291, 12453, 273, 13157, 274, 14204, 7445, 6234, 1535, 318, 273, 7807, 2765, 24877, 272, 10559, 6912, 346, 291, 12453, 273, 13157, 1862, 259, 888, 1892, 7325, 476, 2190, 628, 476, 1001, 272, 267, 476, 6349, 281, 876, 6751, 454, 21837, 5682, 454, 32621, 1384, 23192, 17397, 676, 590, 1241, 454, 2791, 723, 1336, 835, 3070, 267, 1317, 4399, 6234, 667, 285, 271, 8961, 972, 616, 1079, 1114, 3435, 563, 2791, 723, 1336, 912, 7445, 6234, 1535, 318, 272, 7807, 2765, 24877, 272, 10954, 6912, 346, 291, 12453, 273, 13157, 274, 14204, 7445, 6234, 1535, 318, 273, 7807, 2765, 24877, 272, 10559, 6912, 346, 291, 12453, 273, 13157, 1862, 259, 2496, 2467, 616, 1079, 3435, 267, 835, 2318, 543, 835, 2942, 267, 594, 1152, 2838, 519, 2318, 835, 593, 713, 1383, 269, 8729, 6424, 454, 1892, 7325, 476, 2190, 628, 476, 1001, 272, 267, 476, 6349, 281, 1556, 6751, 454, 306, 1241, 454, 32621, 1384, 23192, 17397, 676, 6424, 5682, 454, 2467, 616, 1079, 3435, 267, 835, 2318, 543, 835, 2942, 267, 594, 1152, 2838, 519, 2318, 835, 593, 713, 1383, 269, 8729, 6424, 692, 293, 710, 256, 2433, 291, 454, 3719, 1946, 798, 596, 991, 1152, 519, 2318, 3070, 888, 1892, 7325, 476, 2190, 628, 476, 1001, 272, 267, 476, 6349, 281, 1428, 6751, 454, 21837, 5682, 0, 258, 546, 692, 1892, 4239, 476, 1724, 628, 476, 1220, 279, 267, 476, 1556, 281, 1704, 7537, 454, 296, 5556, 745, 550, 454, 8138, 4944, 2167, 454, 302, 302, 4916, 594, 631, 8577, 3633, 24505, 5990, 570, 3951, 4041, 27114, 4888, 312, 272, 570, 21822, 19294, 670, 8582, 594, 27114, 8863, 3198, 12283, 8668, 2496, 4131, 1269, 309, 815, 681, 317, 274, 8961, 543, 2015, 519, 1739, 29162, 540, 966, 780, 259, 308, 318, 272, 815, 1422, 346, 512, 1422, 8218, 32413, 8679, 272, 11138, 454, 271, 11138, 454, 271, 17910, 32413, 348, 2433, 512, 1422, 514, 681, 1422, 10592, 259, 308, 318, 273, 815, 1422, 346, 512, 1422, 8218, 32413, 8679, 271, 11138, 454, 272, 11138, 454, 271, 17910, 32413, 348, 2433, 512, 1422, 514, 681, 1422, 10592, 259, 308, 318, 274, 815, 1422, 346, 339, 1422, 8218, 32413, 8679, 272, 11138, 454, 272, 11138, 454, 272, 17910, 32413, 348, 2433, 512, 1422, 514, 681, 1422, 10592, 259, 308, 318, 275, 815, 1422, 346, 1422, 8218, 32413, 8679, 337, 11138, 454, 338, 11138, 454, 271, 17910, 32413, 348, 2433, 678, 29679, 1422, 514, 681, 1422, 10592, 259, 308, 318, 276, 815, 1422, 346, 1422, 8218, 32413, 8679, 337, 11138, 454, 338, 11138, 454, 272, 17910, 32413, 348, 2433, 678, 29679, 1422, 514, 681, 1422, 10592, 259, 308, 318, 277, 815, 1422, 346, 1422, 8218, 32413, 8679, 337, 11138, 454, 338, 11138, 454, 271, 17910, 32413, 348, 2433, 678, 29679, 25722, 1422, 514, 681, 1422, 3667, 346, 543, 7684, 678, 266, 338, 266, 339, 284, 272, 1422, 10592, 259, 308, 318, 278, 815, 772, 318, 272, 1422, 5115, 772, 318, 273, 6911, 259, 308, 318, 279, 815, 772, 318, 272, 1422, 24189, 772, 318, 273, 6911, 320, 264, 1280, 1142, 540, 519, 476, 279, 5036, 2893, 2436, 621, 568, 513, 1016, 11898, 267, 543, 13713, 2491, 707, 2626, 780, 321, 264, 1280, 1142, 540, 519, 476, 279, 5036, 267, 19665, 621, 607, 835, 540, 454, 328, 269, 589, 1899, 8429, 998, 519, 5169, 563, 4512, 269, 589, 1899, 711, 8429, 998, 519, 5169, 563, 13839, 269, 589, 7077, 8429, 998, 519, 5169, 563, 643, 269, 589, 7077, 711, 8429, 998, 519, 5169, 563, 341, 269, 9039, 540, 519, 1657, 692, 322, 264, 1548, 798, 596, 9959, 827, 519, 1016, 4944, 2167, 540, 1269, 305, 317, 274, 259, 888, 1892, 4239, 476, 1724, 628, 476, 1220, 279, 267, 476, 1556, 281, 736, 7537, 454, 296, 5556, 745, 550, 454, 296, 993, 711, 1932, 8746, 609, 1250, 4267, 543, 708, 4625, 12758, 593, 851, 536, 264, 0, 258, 2037, 975, 324, 11532, 692, 5319, 975, 324, 11532, 901, 2376, 949, 581, 1932, 2930, 585, 1034, 3988, 547, 1174, 269, 7490, 948, 2087, 621, 547, 1118, 621, 24669, 547, 1875, 7721, 704, 1206, 267, 1510, 9427, 519, 2930, 3877, 269, 630, 21776, 476, 1708, 272, 264, 630, 9596, 875, 543, 950, 547, 4894, 713, 10959, 5048, 264, 769, 6128, 543, 9297, 267, 519, 23508, 11532, 568, 513, 2101, 1267, 827, 519, 1114, 6636, 3601, 540, 519, 1871, 1599, 540, 513, 9936, 1242, 11938, 1966, 16804, 272, 316, 1306, 649, 1689, 6724, 540, 519, 6662, 267, 519, 23508, 11532, 2982, 602, 267, 538, 513, 1978, 2631 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21145, 269, 1284, 786, 849, 2671, 609, 596, 875, 596, 666, 2328, 513, 8760, 1557, 269, 901, 568, 606, 4277, 1888, 602, 3025, 666, 9305, 547, 269, 4317, 12819, 1557, 3584, 4043, 547, 16937, 609, 3656, 543, 5837, 3584, 269, 2986, 1576, 267, 519, 1158, 540, 1870, 568, 3833, 3376, 269, 634, 1184, 666, 581, 7493, 610, 6405, 269, 11982, 11762, 585, 19809, 12989, 568, 519, 1592, 540, 5767, 1655, 6683, 3584, 585, 17948, 267, 2776, 17844, 543, 15942, 6881, 8242, 538, 476, 1708, 271, 907, 10190, 2638, 856, 519, 1592, 540, 476, 4200, 1434, 2565, 2079, 1557, 3584, 543, 2079, 1557, 3584, 649, 723, 5423, 585, 596, 15545, 769, 476, 1001, 278, 267, 649, 16432, 513, 1592, 540, 476, 25002, 12819, 1603, 12987, 2073, 782, 6537, 689, 938, 3232, 9906, 32722, 6241, 269, 3979, 1977, 4828, 11762, 269, 10289, 519, 1114, 2152, 7133, 875, 649, 798, 960, 2337, 1053, 2744, 513, 2631, 540, 2713, 267, 9322, 543, 1514, 10103, 269, 1215, 2052, 1411, 5269, 589, 645, 1681, 14400, 10432, 754, 19196, 1746, 286, 1879, 596, 666, 1406, 3442, 707, 1378, 10855, 1888, 267, 596, 666, 2141, 1265, 10855, 1603, 3584, 593, 519, 1357, 543, 3442, 835, 585, 707, 6249, 269, 5675, 3594, 568, 1419, 513, 851, 540, 1153, 3785, 267, 2705, 267, 7446, 689, 513, 3099, 540, 3584, 666, 581, 3833, 4101, 269, 1403, 891, 3584, 616, 513, 2370, 1932, 11786, 610, 596, 1810, 1405, 1265, 519, 1318, 835, 585, 596, 267, 2119, 19855, 998, 10388, 1557, 543, 4633, 3584, 607, 1134, 476, 1691, 4317, 21261, 894, 4828, 11762, 269, 634, 1699, 7678, 540, 2069, 1062, 3947, 3119, 2956, 547, 1346, 3594, 799, 616, 3810, 3181, 23534, 538, 2470, 543, 3976, 538, 3592, 782, 519, 4604, 981, 2243, 4574, 891, 2010, 540, 3584, 616, 3769, 269, 634, 5728, 538, 1603, 267, 971, 607, 1557, 267, 568, 547, 1174, 610, 723, 606, 2856, 827, 513, 1808, 1514, 3390, 596, 6999, 547, 269, 769, 3932, 267, 1603, 3594, 593, 1514, 2152, 568, 711, 513, 2462, 4161, 267, 607, 930, 1053, 3494, 269, 1948, 273, 281, 14581, 538, 10026, 3506, 269, 3371, 779, 513, 1592, 540, 1557, 3584, 543, 2093, 602, 5249, 585, 1250, 835, 6823, 14633, 1053, 281, 4828, 13445, 281, 3733, 2353, 25489, 27837, 2725, 2991, 5176, 12955, 689, 606, 20942, 12519, 8710, 693, 2947, 1296, 2025, 267, 594, 3459, 513, 3460, 7067, 1250, 4160, 543, 1620, 519, 17971, 1472, 1250, 11959, 6744, 856, 938, 5363, 1592, 540, 12819, 1557, 3584, 267, 7132, 4388, 593, 16116, 519, 1655, 835, 585, 596, 269, 476, 1789, 1715, 11300, 5675, 11762, 585, 12059, 27240, 619, 269, 29283, 543, 4886, 11762, 281, 3683, 4621, 18870, 538, 519, 2475, 282, 634, 4616, 2528, 538, 3013, 282, 29283, 538, 1114, 6080, 269, 2659, 6905, 1557, 1888, 1058, 581, 13988, 609, 835, 540, 519, 3670, 5396, 596, 1353, 267, 855, 621, 666, 3382, 1022, 2460, 540, 519, 1576, 269, 634, 1883, 568, 547, 1118, 707, 1557, 2965, 14436, 543, 519, 1883, 547, 269, 1284, 786, 849, 2671, 609, 596, 875, 596, 666, 2328, 513, 8760, 1557, 269, 22339, 1047, 618, 610, 634, 6520, 540, 22339, 1047, 906, 269, 1306, 2938, 998, 942, 267, 3979, 31787, 723, 1044, 693, 513, 19319, 950, 621, 2501, 547, 17034, 7482, 602, 616, 2139, 547, 1034, 1004, 269, 1548, 616, 519, 4128, 3297, 713, 286, 3203, 4828, 11762, 676, 7392, 540, 4828, 12989, 267, 649, 723, 5116, 519, 1148, 1557, 2093, 585, 12819, 267, 2014, 543, 1198, 267, 543, 5635, 543, 4334, 3594, 269, 19032, 4828, 269, 6744, 856, 891, 1079, 1383, 3594, 630, 5976, 14391, 725, 1040, 14313, 585, 27326, 4828, 11762, 1280, 1034, 1004, 1603, 3594, 568, 513, 32462, 543, 17173, 1184, 269, 3979, 4892, 1656, 3979, 1977, 7991, 476, 5952, 273, 9293, 1923, 476, 275, 9664, 269, 634, 1184, 540, 1603, 519, 1382, 1957, 568, 2469, 547, 581, 1360, 942, 10438, 865, 621, 779, 1271, 1114, 3584, 585, 3594, 547, 2824, 513, 1888, 602, 568, 2469, 547, 2844, 707, 1719, 585, 519, 8653, 540, 519, 1788, 269, 1924, 519, 2949, 3446, 585, 519, 1957, 1522, 581, 1114, 4470, 593, 602, 269, 1809, 12819, 3584, 4308, 811, 827, 875, 2043, 957, 1369, 2486, 543, 1018, 5686, 540, 12503, 2486, 12662, 593, 2043, 610, 2516, 540, 1004, 269, 476, 278, 269, 634, 3804, 950, 1603, 606, 16878, 1557, 568, 547, 1217, 3988, 1510, 1519, 707, 1378, 2123, 9186, 610, 6644, 634, 1297, 540, 1114, 11556, 1557, 3584, 856, 972, 568, 7168, 5318, 267, 865, 6923, 267, 519, 3594, 2933, 786, 8428, 269, 1284, 786, 849, 2671, 609, 596, 875, 596, 666, 2328, 513, 8760, 1557, 269, 15154, 827, 1603, 606, 4661, 1557, 855, 711, 2386, 1018, 513, 8737, 1587, 1522, 1413, 899, 286, 1703, 616, 2489, 1603, 4388, 267, 1557, 11249, 4808, 267, 543, 1454, 811, 547, 3391, 707, 1603, 1280, 713, 1557, 267, 2119, 4466, 513, 851, 540, 707, 3961, 602, 786, 1305, 596, 6306, 543, 5031, 519, 2189, 5133, 596, 786, 3142, 547, 519, 6280, 269, 1703, 616, 2489, 1603, 4388, 267, 1557, 11249, 4808, 267, 543, 1454, 811, 547, 3391, 707, 1603, 901, 2376, 12662, 811, 1445, 593, 5396, 543, 1888, 585, 891, 2010, 540, 3594, 2094, 1510, 513, 1434, 1888, 267, 596, 1522, 1439, 909, 3478, 12758, 543, 723, 547, 1376, 936, 543, 936, 1586, 269, 0, 12179, 821, 883, 476, 274, 291, 8228, 786, 581, 3222, 602, 621, 7475, 909, 6721, 513, 4023, 2179, 540, 3653, 269, 674, 9229, 16493, 267, 1489, 2326, 267, 543, 824, 23987, 2694, 267, 971, 607, 986, 30835, 267, 1267, 538, 1082, 1031, 5068, 602, 3884, 1406, 4941, 269, 1306, 476, 274, 291, 8228, 2083, 14613, 616, 5687, 334, 13807, 10415, 267, 13621, 873, 1524, 543, 556, 268, 2169, 337, 24851, 873, 883, 513, 1007, 27129, 568, 2009, 269, 2560, 1496, 5649, 811, 1862, 316, 827, 476, 274, 291, 24614, 17943, 281, 1772, 623, 6369, 1234, 7094, 762, 888, 15803, 6168, 10434, 2264, 454, 2467, 616, 7899, 540, 2409, 540, 5355, 1820, 5127, 28455, 585, 16493, 602, 616, 2693, 547, 2112, 335, 269, 2290, 540, 519, 1034, 4122, 1031, 2409, 568, 513, 986, 1111, 269, 681, 10762, 338, 267, 2705, 267, 1439, 909, 10438, 513, 2603, 540, 27129, 585, 1945, 602, 786, 1205, 23987, 269, 1358, 849, 11874, 1860, 519, 2627, 2298, 540, 519, 9207, 728, 540, 519, 1820, 269, 589, 1490, 574, 666, 581, 513, 8903, 4244, 267, 5356, 519, 1482, 2560, 1496, 5649, 811, 1862, 316, 827, 476, 274, 291, 24614, 17943, 281, 1548, 1772, 513, 645, 3234, 888, 2252, 596, 2461, 3168, 585, 3631, 547, 1820, 593, 774, 532, 5744, 267, 835, 540, 519, 2081, 596, 666, 1413, 568, 676, 519, 782, 6066, 1034, 2442, 1592, 269, 23560, 865, 568, 513, 1390, 1259, 547, 1205, 6325, 3631, 602, 616, 4277, 269, 1403, 596, 2965, 1413, 693, 519, 3631, 267, 3592, 782, 540, 519, 1283, 3283, 616, 6198, 11214, 269, 2560, 1496, 5649, 811, 1862, 316, 827, 476, 274, 291, 24614, 17943, 281, 1548, 1772, 476, 274, 291, 13051, 16408, 888, 3080, 540, 519, 1034, 2352, 5546, 547, 1711, 609, 513, 476, 274, 291, 17002, 568, 513, 12106, 269, 1975, 12742, 616, 2352, 585, 1896, 4128, 269, 17616, 267, 21384, 723, 513, 6263, 3346, 1448, 609, 519, 1820, 5127, 267, 1818, 873, 2182, 547, 15666, 538, 1747, 269, 19627, 267, 21384, 723, 513, 2603, 540, 936, 28702, 338, 602, 991, 1489, 269, 12059, 569, 267, 674, 19699, 23252, 1439, 909, 6028, 7298, 4494, 3515, 950, 8228, 14258, 602, 3444, 519, 2098, 14289, 269, 2560, 1496, 5649, 811, 1862, 316, 827, 476, 274, 291, 24614, 17943, 281, 1215, 547, 7179, 1975, 12742, 454, 1103, 476, 274, 291, 8228, 267, 5329, 707, 1820, 538, 835, 1747, 1282, 519, 8228, 1184, 568, 9691, 1271, 547, 519, 1967, 540, 519, 1820, 269, 1403, 519, 1820, 7575, 607, 519, 1820, 1184, 616, 5571, 267, 1287, 2104, 6106, 786, 581, 9102, 538, 519, 4636, 2990, 827, 519, 2203, 267, 610, 1256, 936, 6094, 2011, 267, 3056, 547, 513, 6177, 779, 9566, 540, 30255, 27129, 269, 2560, 1496, 5649, 811, 1862, 316, 827, 476, 274, 291, 24614, 17943, 281, 1548, 1772, 513, 681, 10762, 888, 21691, 2988, 1886, 22005, 568, 513, 17426, 10859, 268, 3419, 573, 1570, 4122, 1031, 538, 11183, 3156, 12155, 547, 2112, 4771, 267, 1818, 621, 16602, 547, 1820, 269, 634, 1570, 3294, 568, 9157, 543, 814, 1164, 9854, 4187, 1818, 621, 1390, 585, 1970, 3613, 31104, 3156, 971, 607, 2713, 31963, 267, 682, 10449, 267, 543, 2269, 1186, 269, 2560, 1496, 5649, 811, 1862, 316, 827, 476, 274, 291, 24614, 7698, 6651, 1107, 1548, 547, 5700, 6168, 2717, 2988, 1886, 22005, 454, 2252, 596, 1378, 513, 2780, 602, 1100, 3476, 10742, 707, 2115, 267, 596, 666, 22010, 922, 8800, 3334, 269, 1280, 1383, 267, 596, 666, 1039, 811, 4859, 2230, 267, 811, 20433, 267, 543, 1256, 1205, 513, 1732, 29453, 269, 2986, 1576, 267, 519, 4244, 568, 9140, 513, 6216, 20642, 3926, 269, 1809, 952, 596, 1378, 513, 24904, 1504, 267, 1919, 616, 513, 3787, 811, 7294, 269, 5455, 326, 15665, 707, 24904, 5308, 15291, 568, 711, 2141, 2009, 269, 2560, 1496, 5649, 811, 1862, 316, 827, 2052, 24904, 1504, 15350, 2142, 5455, 326, 24612, 888, 7312, 24904, 1504, 949, 3006, 12235, 606, 10332, 602, 3081, 707, 4276, 568, 711, 4357, 269, 901, 2356, 4523, 950, 596, 2811, 1210, 24904, 547, 3643, 1585, 1357, 3817, 269, 634, 10332, 6920, 602, 707, 11422, 1223, 711, 1265, 513, 4570, 7834, 15149, 593, 519, 1357, 2985, 596, 2811, 9683, 269, 2913, 781, 2263, 1018, 596, 666, 798, 827, 713, 3390, 269, 2560, 1496, 5649, 811, 1862, 316, 827, 24904, 1504, 590, 904, 3733, 17583, 1772, 3502, 17721, 454, 7312, 24904, 1504, 949, 3006, 3111, 547, 5279, 707, 16335, 781, 6007, 269, 634, 15291, 949, 7620, 1397, 519, 12363, 568, 12123, 269, 1809, 1310, 513, 1906, 7643, 267, 621, 2982, 602, 519, 6049, 568, 1100, 3476, 12123, 269, 1403, 707, 24904, 1504, 8952, 593, 3257, 713, 1394, 543, 8521, 267, 11654, 519, 30076, 3435, 2630, 269, 2560, 1496, 5649, 811, 1862, 316, 827, 4208, 1772, 3733, 24904, 1504, 3502, 932, 1173, 532, 3733, 25439, 888, 24841, 23752, 2083, 14613, 946, 513, 623, 6369, 3490, 543, 9192, 602, 609, 3574, 5536, 269, 634, 3169, 1826, 540, 3574, 1031, 543, 922, 5834, 9775, 1063, 12478, 269, 12846, 267, 3574, 7452, 543, 524, 1251, 616, 1455, 267, 543, 1034, 4043, 547, 581, 1472, 476, 1789, 260, 5834, 269, 634, 4527, 540, 1483, 3574, 5536, 3947, 16493, 513, 2189, 9096, 602, 5654, 543, 7959, 899, 1483, 3574, 269, 2560, 1496, 5649, 811, 1862, 316, 827, 476, 274, 291, 24614, 7698, 6651, 1107, 1548, 547, 5700, 6168, 8381, 674, 2683, 8606, 3512, 0, 25565, 8239, 1362, 5809, 1913, 1759, 593, 5216, 2694, 540, 4633, 281, 519, 8231, 267, 519, 10902, 267, 519, 15749, 267, 519, 18781, 267, 519, 30163, 267, 519, 840, 6570, 267, 519, 14966, 267, 543, 519, 954, 20287, 269, 3962, 851, 540, 4633, 6941, 711, 1018, 519, 2262, 568, 267, 855, 875, 519, 2262, 568, 1031, 269, 769, 1249, 267, 519, 1482, 2262, 666, 581, 513, 10902, 538, 835, 4845, 543, 513, 8231, 610, 18781, 538, 519, 1985, 269, 634, 1985, 1906, 1806, 1397, 875, 513, 2262, 779, 563, 763, 1101, 851, 540, 707, 1557, 786, 581, 519, 4367, 543, 621, 1058, 2253, 676, 10213, 519, 5467, 4481, 1018, 1888, 707, 1557, 568, 5466, 269, 14033, 519, 1439, 540, 707, 4367, 1058, 581, 707, 5098, 3948, 267, 799, 568, 513, 2312, 543, 13801, 3948, 602, 6799, 707, 4661, 269, 634, 2063, 4845, 540, 519, 4367, 1058, 581, 513, 27139, 4845, 602, 12211, 547, 519, 1101, 1560, 5037, 540, 563, 763, 5216, 1292, 2694, 540, 4633, 538, 2296, 616, 281, 715, 5495, 301, 910, 630, 301, 5446, 2262, 264, 589, 10902, 568, 519, 2012, 540, 513, 1268, 267, 1747, 267, 3364, 610, 2856, 269, 6201, 540, 17205, 281, 12253, 267, 5507, 267, 3349, 267, 2915, 267, 4116, 267, 4050, 267, 2749, 267, 8788, 267, 4126, 269, 7151, 5220, 281, 19378, 2729, 538, 17638, 269, 6307, 3096, 4050, 543, 1957, 547, 2328, 5022, 269, 6258, 811, 827, 519, 1114, 2010, 540, 17205, 269, 11553, 2177, 5495, 301, 910, 630, 3725, 17541, 513, 715, 1735, 264, 589, 15749, 568, 1031, 538, 1747, 540, 513, 563, 16240, 10749, 4635, 20668, 2986, 16594, 5664, 3427, 267, 11350, 585, 1557, 1603, 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, 30238, 10076, 3157, 12267, 454, 288, 9241, 2919, 2203, 540, 2247, 267, 667, 747, 582, 558, 1242, 21952, 3590, 7844, 630, 291, 5308, 7844, 1070, 6941, 1018, 2247, 568, 267, 875, 621, 19674, 689, 519, 2634, 267, 875, 621, 10953, 936, 942, 543, 1946, 798, 649, 723, 621, 267, 16310, 454, 15987, 519, 2247, 814, 5892, 1044, 6956, 547, 581, 899, 513, 4887, 2443, 835, 1590, 3635, 621, 547, 1832, 621, 2178, 2443, 513, 1007, 1353, 5267, 2241, 3635, 4805, 4465, 1406, 581, 2614, 547, 1832, 513, 2635, 543, 3742, 2634, 3735, 538, 1272, 563, 2791, 2461, 1152, 607, 2025, 607, 596, 1745, 267, 610, 865, 519, 6031, 4422, 563, 11900, 2074, 1759, 593, 519, 667, 7645, 7010, 7844, 616, 5941, 538, 519, 11671, 17595, 6139, 1905, 626, 12139, 563, 29613, 860, 1132, 593, 1312, 7475, 540, 519, 2797, 8552, 616, 8449, 2693, 547, 3494, 741, 8369, 616, 9120, 547, 1866, 3299, 855, 741, 4606, 540, 27166, 10836, 585, 3982, 2797, 2152, 563, 288, 1007, 1353, 2488, 2963, 602, 835, 1271, 851, 540, 3965, 25457, 8101, 1646, 1256, 1310, 519, 2085, 540, 476, 278, 563, 6124, 1382, 814, 3254, 930, 12194, 1223, 581, 796, 3598, 2740, 1247, 513, 1268, 3207, 338, 269, 4635, 1808, 30851, 267, 971, 607, 29762, 610, 27536, 1085, 757, 267, 3744, 941, 2111, 547, 2569, 519, 6547, 540, 5396, 945, 941, 8036, 547, 4250, 513, 6292, 540, 8188, 1991, 547, 519, 1353, 563, 2791, 949, 581, 9561, 519, 4390, 547, 4558, 3407, 8823, 610, 1491, 538, 1344, 676, 7836, 1932, 1454, 942, 2228, 1107, 4849, 950, 2542, 2984, 593, 2699, 7775, 4226, 267, 540, 1576, 563, 2690, 519, 4557, 2600, 540, 721, 945, 616, 2451, 26370, 267, 1810, 1406, 1745, 3983, 827, 1373, 606, 16080, 3187, 1317, 899, 15248, 717, 15676, 1107, 596, 941, 4535, 602, 1259, 563, 268, 769, 10571, 14708, 267, 2269, 1186, 4881, 689, 519, 12966, 538, 4395, 936, 519, 17525, 547, 519, 12966, 538, 519, 1394, 267, 609, 811, 610, 1447, 11840, 566, 540, 16013, 2719, 543, 7291, 269, 1358, 2356, 22962, 693, 519, 13105, 543, 7522, 4724, 519, 22765, 269, 0, 1103, 713, 2376, 649, 786, 581, 7234, 513, 1906, 2596, 12981, 649, 1223, 946, 538, 938, 3232, 7746, 12363, 5872, 563, 23744, 12380, 12981, 723, 519, 1739, 16105, 563, 12252, 1496, 9953, 687, 316, 1496, 1173, 3701, 2639, 10376, 6221, 568, 9674, 676, 2230, 563, 9563, 18169, 12189, 513, 12981, 2623, 563, 268, 17266, 4484, 3681, 2356, 28263, 676, 968, 1107, 9232, 454, 268, 9509, 2262, 3681, 2356, 28263, 676, 968, 2443, 9232, 454, 9563, 14803, 3701, 616, 3758, 4408, 610, 824, 1239, 2877, 676, 519, 4971, 563, 9563, 13038, 12981, 666, 581, 9674, 676, 968, 282, 7536, 299, 1115, 723, 513, 2638, 609, 1906, 540, 519, 1034, 4122, 1031, 12981, 2630, 281, 630, 3467, 2507, 994, 9213, 1082, 2645, 616, 2139, 585, 7900, 18218, 10029, 269, 769, 713, 2376, 267, 13071, 723, 513, 2638, 609, 1906, 540, 519, 1283, 18218, 10029, 2645, 563, 307, 697, 309, 10998, 568, 513, 6552, 18376, 3301, 3498, 543, 621, 666, 581, 1031, 547, 1921, 547, 1776, 2780, 543, 4159, 922, 2661, 6552, 18376, 269, 6145, 824, 966, 10998, 1949, 267, 621, 5161, 540, 1079, 2694, 281, 519, 968, 306, 13996, 5608, 799, 8843, 519, 5496, 540, 519, 3684, 621, 779, 4881, 593, 267, 543, 519, 968, 8698, 518, 5608, 799, 2982, 519, 6552, 5496, 4607, 689, 519, 7746, 454, 307, 697, 309, 10998, 18218, 568, 2966, 547, 2196, 538, 1079, 12331, 912, 9563, 13335, 7154, 454, 9563, 6796, 7154, 454, 1103, 3498, 7154, 267, 519, 7746, 267, 1175, 899, 1022, 824, 18376, 3301, 267, 666, 581, 4881, 1152, 1282, 519, 1699, 3593, 8400, 543, 844, 1080, 593, 519, 2845, 719, 269, 3962, 3593, 814, 1010, 17017, 2123, 5468, 543, 18538, 269, 630, 3467, 2507, 994, 7709, 2232, 24401, 1993, 532, 610, 7379, 24401, 1993, 532, 568, 519, 5137, 540, 5769, 16257, 630, 7709, 264, 21168, 609, 513, 2707, 7379, 2232, 267, 609, 519, 3483, 540, 10703, 2718, 519, 3961, 540, 519, 30699, 610, 791, 3205, 908, 1776, 7384, 1062, 269, 4706, 513, 9259, 538, 799, 31487, 2242, 610, 21613, 513, 7379, 21168, 269, 769, 1931, 547, 2007, 2620, 13071, 1174, 930, 2596, 2035, 563, 1103, 4950, 519, 4276, 1063, 1079, 2780, 3217, 1747, 1210, 27427, 270, 7709, 7014, 269, 769, 799, 1239, 2877, 547, 6494, 689, 835, 2780, 547, 1776, 568, 7745, 1524, 883, 4773, 1634, 607, 21168, 269, 1452, 21168, 616, 22921, 950, 7745, 1524, 865, 602, 789, 666, 556, 553, 5145, 1194, 693, 519, 1439, 610, 17513, 269, 3962, 21168, 723, 1079, 2694, 20927, 543, 1560, 269, 10610, 8637, 519, 5048, 851, 543, 10361, 518, 8637, 519, 27034, 585, 519, 21168, 971, 607, 2707, 7379, 267, 10278, 7379, 267, 5311, 1297, 267, 570, 17247, 3092, 269, 1452, 1558, 611, 21648, 616, 1031, 538, 519, 10278, 585, 519, 17452, 540, 519, 4276, 610, 547, 2697, 519, 2707, 540, 519, 7662, 269, 1452, 1239, 666, 581, 6383, 610, 9168, 676, 513, 3791, 1268, 610, 31487, 713, 568, 4122, 1634, 607, 7379, 1975, 334, 1993, 532, 269, 630, 3467, 2507, 994, 5278, 20072, 270, 1952, 997, 725, 2154, 1978, 20072, 581, 2196, 693, 513, 1978, 942, 547, 1599, 5265, 563, 4002, 8837, 13763, 267, 649, 666, 1305, 873, 909, 547, 2196, 693, 1978, 2053, 676, 2870, 513, 8430, 4305, 630, 6518, 568, 2147, 547, 875, 596, 666, 2196, 524, 1258, 6009, 593, 12380, 13763, 1916, 17730, 513, 2480, 1117, 27968, 17130, 538, 623, 956, 330, 912, 2171, 666, 1305, 909, 2480, 1117, 27968, 570, 3696, 538, 623, 956, 330, 676, 3257, 519, 1739, 912, 763, 3593, 596, 616, 19883, 538, 609, 1058, 723, 2614, 27704, 547, 1711, 513, 16516, 4305, 269, 8837, 32655, 5561, 8850, 723, 10479, 267, 543, 519, 1520, 2381, 3593, 585, 8837, 667, 539, 5344, 5395, 951, 8850, 723, 10479, 269, 16952, 3755, 2813, 676, 519, 1520, 2381, 593, 513, 8837, 667, 539, 5344, 18218, 949, 610, 949, 711, 723, 10479, 547, 14764, 16516, 4247, 267, 4470, 593, 1018, 27704, 596, 2285, 873, 269, 630, 3467, 2507, 994, 7704, 295, 15993, 532, 568, 1031, 547, 15993, 782, 540, 519, 6808, 689, 707, 2199, 3684, 547, 513, 6552, 7746, 602, 596, 723, 606, 2272, 269, 9399, 295, 2636, 3755, 547, 1711, 27427, 25310, 547, 6494, 1239, 936, 519, 3060, 269, 634, 5863, 3364, 827, 9399, 295, 25310, 568, 602, 789, 616, 24290, 563, 1692, 15993, 532, 1568, 888, 1607, 1568, 676, 782, 20814, 513, 23094, 547, 6432, 547, 2823, 593, 519, 2199, 2427, 267, 4781, 958, 3808, 547, 519, 9138, 12622, 318, 5417, 816, 269, 24269, 513, 4276, 568, 1500, 547, 713, 2823, 267, 519, 4276, 568, 4464, 539, 936, 519, 5150, 8756, 267, 543, 513, 4276, 568, 1500, 547, 3984, 2823, 689, 519, 6552, 3684, 269, 5800, 4464, 902, 666, 849, 581, 9138, 538, 519, 12122, 3758, 563, 2467, 616, 1079, 2081, 547, 1711, 606, 9399, 295, 15993, 281, 2199, 543, 6552, 2823, 4464, 532, 630, 3467, 2507, 264, 0, 24165, 25770, 300, 476, 272, 22428, 513, 1554, 814, 476, 279, 2324, 3108, 269, 9208, 3977, 568, 476, 1911, 533, 14369, 829, 5662, 269, 9208, 4074, 2557, 568, 1269, 1015, 829, 327, 712, 269, 27018, 4062, 2557, 281, 476, 5952, 260, 540, 3044, 4062, 2557, 585, 2630, 3044, 3977, 543, 476, 6344, 260, 540, 3044, 4062, 2557, 585, 3044, 543, 1657, 3044, 3977, 20166, 704, 1807, 589, 7472, 476, 10384, 533, 14369, 585, 519, 2898, 1554, 20166, 704, 1807, 645, 7472, 476, 12010, 4773, 585, 519, 2898, 1554, 269, 15253, 1393, 23269, 540, 11346, 589, 543, 645, 585, 602, 1554, 2529, 1828, 281, 24092, 3977, 540, 519, 1554, 476, 279, 1535, 476, 1911, 815, 476, 8517, 533, 14369, 24092, 533, 14369, 2557, 21591, 284, 1269, 271, 269, 1015, 9706, 14369, 2026, 589, 568, 2630, 3044, 1685, 518, 267, 303, 14369, 2557, 10858, 585, 589, 815, 1269, 271, 269, 1015, 1535, 476, 5952, 260, 815, 1269, 271, 269, 5400, 276, 1315, 26099, 454, 288, 779, 14057, 540, 602, 1554, 815, 476, 10384, 1535, 1269, 269, 5400, 276, 815, 1269, 476, 6795, 269, 276, 27473, 563, 2026, 645, 568, 1657, 3044, 1685, 518, 267, 303, 14369, 2557, 10858, 585, 645, 815, 1269, 271, 269, 1015, 1535, 476, 6344, 260, 815, 1269, 271, 269, 1321, 9706, 322, 454, 289, 779, 14057, 540, 602, 1554, 815, 476, 12010, 1535, 1269, 271, 269, 1321, 9706, 322, 815, 1269, 10482, 27473, 269, 0, 1103, 1454, 540, 938, 4901, 865, 2484, 267, 649, 723, 12290, 3785, 10446, 540, 824, 3785, 602, 519, 6109, 2907, 814, 610, 1522, 723, 538, 519, 2104, 269, 18557, 267, 585, 3236, 267, 729, 2111, 547, 1413, 693, 519, 6249, 6288, 5092, 543, 5659, 2436, 621, 729, 513, 1434, 610, 3983, 5092, 269, 769, 4641, 267, 3785, 693, 1034, 10909, 723, 22524, 2570, 4293, 609, 543, 4539, 585, 824, 3785, 269, 18557, 949, 581, 2111, 547, 2333, 1312, 7260, 543, 25584, 19614, 1317, 540, 519, 1007, 6249, 6288, 538, 10854, 330, 758, 543, 949, 3068, 2362, 10229, 24723, 1317, 540, 922, 5607, 7269, 563, 1103, 713, 3184, 267, 649, 4983, 513, 1297, 540, 7653, 538, 799, 519, 7156, 540, 835, 1788, 5540, 824, 3785, 269, 1284, 1376, 609, 519, 1034, 3665, 2013, 267, 1141, 10115, 538, 835, 1788, 5012, 547, 519, 18349, 540, 835, 610, 811, 824, 3785, 282, 713, 568, 519, 2013, 950, 10909, 723, 547, 3442, 1063, 20102, 12600, 9541, 269, 1284, 1287, 2015, 513, 1447, 3665, 9183, 267, 1141, 513, 6109, 609, 10148, 593, 875, 1454, 3854, 621, 666, 6318, 15109, 513, 1007, 1788, 269, 20504, 532, 713, 1788, 6971, 519, 3854, 2139, 585, 824, 3785, 602, 519, 6109, 15109, 2663, 538, 519, 1974, 543, 3976, 666, 1860, 741, 10343, 282, 713, 568, 519, 2013, 540, 3854, 32311, 532, 563, 19061, 338, 666, 1711, 3790, 585, 4540, 9541, 676, 1210, 3838, 2200, 610, 4430, 4390, 267, 543, 649, 2015, 891, 2427, 3790, 1985, 269, 18768, 3006, 5352, 2640, 585, 824, 3785, 267, 543, 649, 5659, 875, 547, 3142, 891, 2640, 883, 519, 2079, 269, 769, 519, 3803, 851, 540, 519, 3184, 267, 649, 6338, 519, 10206, 602, 3785, 1419, 723, 3681, 11251, 538, 873, 267, 543, 602, 24937, 891, 3681, 666, 1267, 538, 4057, 1788, 3664, 563, 19061, 338, 616, 20102, 12600, 950, 1152, 835, 540, 519, 1305, 540, 3785, 666, 581, 7608, 676, 513, 6109, 269, 18768, 949, 581, 20102, 12600, 585, 1114, 4128, 269, 1358, 949, 1142, 1683, 513, 1259, 540, 3478, 513, 2877, 3028, 267, 855, 1022, 835, 540, 873, 568, 6190, 585, 519, 3028, 269, 634, 8227, 540, 513, 5010, 2679, 949, 581, 7446, 1851, 513, 1297, 540, 1114, 2011, 8410, 1288, 532, 610, 8022, 1949, 585, 513, 2679, 269, 2107, 267, 3785, 949, 1683, 4244, 4485, 547, 519, 2104, 540, 513, 6109, 282, 513, 6109, 602, 814, 547, 3442, 1063, 513, 1422, 340, 1001, 577, 662, 8894, 1103, 7446, 1851, 20102, 12600, 3785, 267, 649, 3136, 547, 946, 519, 1482, 3652, 649, 2919, 585, 7421, 4830, 3785, 269, 634, 6109, 1058, 3442, 519, 1788, 602, 8591, 519, 1034, 547, 922, 1871, 269, 2755, 713, 1523, 568, 5266, 3551, 950, 519, 3785, 616, 4397, 547, 5352, 6666, 8928, 585, 519, 1482, 1297, 540, 5712, 630, 17647, 519, 1482, 1788, 1272, 1070, 607, 596, 786, 1294, 267, 621, 666, 1831, 811, 7294, 950, 519, 3785, 723, 1114, 2729, 563, 2691, 9236, 3785, 609, 519, 1482, 2729, 267, 513, 1870, 666, 1118, 922, 3375, 538, 835, 540, 1079, 2081, 269, 898, 666, 12337, 519, 2121, 1459, 1871, 540, 1142, 1788, 543, 3442, 519, 835, 609, 519, 5207, 2318, 2121, 1459, 1871, 630, 604, 519, 3785, 5352, 8907, 264, 610, 519, 835, 609, 519, 9803, 2942, 2121, 1459, 1871, 630, 604, 519, 3785, 7413, 3790, 1040, 17968, 267, 621, 666, 12337, 519, 11186, 6666, 2095, 1063, 1079, 3785, 543, 3490, 922, 3375, 593, 519, 2121, 1459, 1871, 610, 519, 4835, 2557, 540, 2132, 540, 519, 11186, 6666, 2095, 563, 763, 14724, 1259, 540, 7446, 1851, 20102, 12600, 3785, 609, 3160, 2729, 568, 547, 12337, 519, 2121, 1459, 2418, 540, 519, 3785, 543, 3442, 519, 835, 609, 519, 5207, 2121, 1459, 1871, 269, 901, 3375, 4341, 568, 5812, 609, 6109, 1871, 12366, 1436, 563, 9349, 2675, 1901, 568, 7446, 1063, 4244, 21527, 945, 616, 5356, 6049, 1949, 269, 5637, 1949, 723, 476, 276, 4458, 2729, 267, 543, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4255, 609, 1614, 1114, 8833, 2557, 2418, 269, 10410, 6036, 538, 891, 1614, 2665, 941, 476, 274, 291, 9102, 609, 513, 476, 271, 269, 273, 6515, 4494, 11098, 693, 513, 2837, 540, 476, 21497, 11019, 290, 269, 634, 8833, 2557, 1185, 513, 2178, 1198, 593, 519, 12766, 339, 30276, 540, 519, 1570, 269, 634, 2333, 538, 519, 8833, 2557, 3648, 2799, 519, 20765, 540, 570, 303, 308, 1570, 269, 634, 28995, 4222, 267, 593, 519, 824, 1688, 267, 729, 711, 4299, 538, 519, 1482, 1259, 267, 607, 519, 3017, 1851, 519, 2919, 2418, 585, 519, 1614, 1114, 8833, 3928, 729, 711, 2362, 982, 476, 1015, 18336, 8201, 476, 274, 2982, 513, 6476, 1063, 519, 6724, 6594, 538, 713, 960, 269, 13018, 267, 7612, 476, 274, 320, 2982, 267, 585, 7193, 1570, 267, 519, 3328, 28995, 4222, 2418, 543, 741, 11539, 585, 519, 1114, 8833, 3928, 543, 476, 274, 291, 8228, 5210, 6594, 538, 713, 960, 267, 585, 513, 476, 271, 269, 273, 6515, 4494, 4463, 269, 634, 30979, 2837, 2813, 513, 1114, 7678, 3823, 519, 28995, 4222, 585, 519, 1585, 8833, 2557, 2418, 269, 901, 729, 4440, 1813, 547, 519, 1114, 954, 543, 12499, 4494, 12760, 540, 519, 1570, 3361, 676, 519, 1114, 476, 274, 291, 8228, 30979, 5210, 269, 634, 2539, 8417, 540, 519, 8833, 2557, 547, 519, 28995, 4222, 729, 4767, 585, 519, 5207, 30979, 2837, 6594, 538, 713, 960, 269, 589, 2147, 7678, 729, 4767, 538, 7193, 1570, 3823, 519, 8417, 540, 519, 1570, 543, 519, 8833, 2557, 267, 950, 19249, 519, 4494, 4463, 269, 769, 7612, 476, 274, 321, 267, 621, 568, 3254, 602, 519, 28995, 4222, 585, 519, 9803, 4494, 4463, 1185, 513, 811, 5812, 2623, 693, 519, 1114, 20436, 566, 11250, 267, 950, 3379, 547, 519, 7229, 28995, 9342, 585, 2362, 4494, 11098, 525, 269, 634, 7229, 28995, 29870, 540, 22786, 630, 6573, 320, 264, 568, 3254, 538, 7612, 476, 274, 322, 585, 519, 1114, 476, 274, 291, 8228, 5210, 6594, 543, 267, 538, 7612, 476, 274, 323, 267, 519, 7222, 2418, 616, 4843, 585, 519, 1114, 4494, 15627, 267, 585, 519, 2947, 20436, 566, 11250, 7318, 23954, 269, 898, 666, 581, 2417, 10924, 602, 476, 274, 291, 8228, 2837, 13054, 606, 1271, 9936, 7133, 519, 28995, 3601, 540, 519, 1570, 563, 8201, 476, 274, 269, 630, 320, 14720, 264, 19105, 28995, 4222, 630, 6573, 320, 264, 543, 630, 322, 28504, 264, 3328, 28995, 13412, 29870, 630, 6573, 320, 264, 547, 20436, 566, 11250, 630, 7825, 26553, 264, 585, 7193, 1570, 607, 5205, 281, 630, 320, 22698, 264, 476, 274, 291, 8228, 5210, 282, 630, 321, 28504, 264, 4494, 15627, 563, 763, 7127, 568, 689, 476, 1015, 269, 26552, 271, 9706, 565, 2096, 14530, 277, 2767, 7367, 454, 268, 590, 643, 21831, 267, 595, 10611, 269, 4400, 8833, 2557, 18572, 540, 22169, 269, 3642, 303, 4762, 269, 28540, 269, 476, 1001, 278, 267, 476, 9692, 274, 267, 476, 279, 1700, 1724, 563, 268, 30323, 20198, 267, 715, 5919, 10548, 778, 663, 1090, 334, 20564, 267, 681, 5919, 16629, 926, 267, 667, 5919, 5576, 14660, 577, 267, 623, 5919, 29885, 267, 570, 9950, 12282, 5919, 5576, 559, 31582, 267, 700, 5919, 10218, 324, 267, 700, 5919, 5576, 342, 1221, 337, 345, 1731, 267, 808, 5919, 5760, 2401, 267, 808, 269, 6356, 540, 1164, 8833, 3928, 543, 2837, 593, 519, 8020, 4435, 22817, 3601, 540, 476, 274, 291, 268, 2745, 539, 12249, 3889, 1500, 676, 1079, 14428, 582, 517, 12776, 2762, 269, 631, 831, 269, 2677, 269, 476, 1708, 271, 267, 476, 4198, 267, 476, 272, 1700, 280, 563, 268, 966, 573, 752, 529, 267, 715, 5919, 8891, 748, 529, 267, 631, 5919, 20653, 573, 752, 529, 267, 661, 5919, 17389, 2125, 7815, 267, 631, 5919, 2725, 19816, 7815, 710, 267, 966, 5919, 570, 345, 1735, 529, 267, 700, 269, 2201, 519, 8833, 2557, 8417, 540, 535, 4310, 27129, 21753, 630, 293, 742, 264, 9268, 29693, 267, 2612, 267, 4620, 326, 267, 17328, 277, 267, 543, 6032, 5687, 31129, 22169, 269, 2717, 2096, 619, 476, 1708, 271, 267, 476, 1321, 267, 476, 29580, 275, 563, 268, 966, 1515, 529, 267, 589, 5919, 8891, 748, 529, 267, 631, 5919, 966, 573, 752, 529, 267, 715, 5919, 14205, 341, 752, 529, 267, 918, 269, 2201, 519, 853, 1778, 15580, 11576, 6638, 540, 12559, 543, 12559, 9578, 674, 4310, 3493, 3789, 3525, 2454, 20668, 269, 808, 269, 631, 831, 269, 1621, 269, 9524, 269, 476, 1001, 277, 267, 476, 1839, 267, 476, 28307, 279, 1700, 32579, 276, 563, 268, 670, 657, 584, 267, 631, 17679, 5919, 12138, 267, 808, 5919, 8614, 601, 8643, 267, 590, 5919, 966, 4660, 5984, 267, 772, 14389, 5919, 2904, 518, 267, 589, 269, 4400, 8833, 13496, 3210, 540, 10097, 18955, 3327, 270, 788, 20293, 29322, 269, 808, 269, 1234, 8882, 269, 1773, 770, 269, 1290, 1842, 269, 476, 1220, 274, 267, 476, 2420, 267, 476, 27244, 1700, 30640, 563, 268, 631, 3305, 1580, 328, 267, 631, 5919, 1261, 573, 17369, 712, 267, 589, 5919, 2098, 29697, 267, 2473, 11482, 5919, 13268, 518, 267, 808, 6993, 269, 6356, 540, 11506, 2837, 593, 519, 7344, 3601, 540, 1164, 3613, 1778, 268, 3433, 14001, 13148, 8697, 6405, 543, 18435, 4306, 338, 269, 2271, 269, 808, 269, 8177, 1621, 269, 476, 1001, 278, 267, 476, 8099, 267, 476, 31798, 1700, 3374, 279, 563, 268, 13225, 3547, 327, 807, 267, 670, 14389, 6185, 13034, 269, 5410, 1438, 5663, 269, 631, 831, 269, 2233, 269, 3353, 565, 269, 476, 1001, 277, 267, 476, 3953, 267, 476, 277, 1428, 1700, 277, 1626, 563, 268, 26689, 639, 345, 267, 570, 5919, 5395, 3316, 267, 667, 6993, 5919, 10598, 745, 267, 681, 8160, 5919, 7101, 340, 267, 589, 14371, 5919, 9370, 822, 2088, 267, 700, 269, 634, 1198, 540, 8833, 2557, 543, 2837, 593, 519, 7344, 3601, 540, 4874, 21666, 622, 29322, 269, 631, 831, 269, 4653, 28540, 269, 476, 1708, 271, 267, 476, 3393, 267, 476, 275, 2641, 272, 1700, 275, 2641, 276, 563, 268, 700, 341, 267, 667, 5919, 9149, 267, 623, 5919, 31481, 267, 700, 5919, 15651, 267, 681, 5919, 16441, 267, 670, 5919, 9149, 267, 2473, 5919, 2098, 29697, 267, 962, 5919, 15651, 267, 808, 5919, 29399, 267, 715, 269, 31349, 267, 6268, 540, 8485, 30649, 573, 8790, 574, 2045, 4874, 21666, 622, 585, 1761, 9025, 588, 757, 15098, 269, 1234, 716, 269, 8342, 551, 269, 2717, 2096, 269, 476, 1708, 272, 267, 476, 14321, 267, 476, 10441, 8660, 278, 563, 268, 5244, 267, 590, 12282, 5919, 10557, 267, 808, 9950, 5919, 10557, 267, 670, 11065, 5919, 5244, 267, 808, 5919, 10557, 267, 715, 14389, 5919, 12312, 267, 962, 5919, 5244, 267, 590, 13034, 269, 476, 274, 291, 8228, 540, 6915, 2861, 4874, 21666, 622, 543, 922, 1761, 3156, 538, 10357, 325, 7037, 11255, 5663, 269, 5410, 527, 269, 2494, 18860, 269, 476, 1708, 271, 267, 476, 4029, 267, 476, 1911, 9032, 275, 563, 268, 918, 1779, 531, 267, 589, 5919, 27958, 267, 590, 5919, 27958, 267, 623, 5919, 623, 2784, 7315, 267, 681, 5919, 4024, 6387, 267, 631, 5919, 13268, 597, 529, 18081, 267, 717, 5919, 27958, 267, 590, 5919, 5689, 14653, 571, 267, 645, 6185, 269, 10765, 8441, 538, 476, 274, 291, 8228, 4066, 585, 28707, 630, 321, 1470, 264, 338, 839, 832, 269, 5410, 527, 269, 2494, 18860, 269, 476, 1708, 272, 267, 476, 5379, 267, 476, 9083, 5400, 279, 563, 268, 670, 659, 328, 690, 1663, 267, 674, 5919, 570, 599, 325, 684, 267, 772, 5919, 23520, 12047, 597, 267, 570, 5919, 570, 514, 1356, 267, 570, 269, 10886, 1436, 540, 3327, 6775, 543, 4837, 6775, 18674, 4874, 21666, 622, 29322, 543, 741, 2623, 896, 18325, 23735, 2747, 269, 4273, 269, 715, 16090, 269, 6052, 476, 1708, 272, 267, 476, 16328, 267, 476, 9818, 277, 4792, 563, 268, 631, 880, 571, 267, 966, 5919, 1744, 12609, 267, 681, 5919, 918, 1002, 686, 267, 715, 5919, 717, 1173, 267, 670, 5919, 10127, 541, 267, 966, 5919, 16679, 267, 717, 2529, 5919, 590, 732, 335, 10440, 267, 681, 17679, 269, 14409, 540, 12443, 21666, 622, 676, 8299, 571, 6261, 13440, 1707, 7557, 1456, 585, 30677, 10241, 269, 631, 831, 269, 4653, 28540, 269, 476, 1001, 279, 267, 476, 276, 267, 476, 25172, 1789, 1700, 25172, 4343, 563, 268, 20568, 267, 2098, 5919, 2098, 7315, 267, 808, 5919, 674, 731, 267, 631, 5919, 5096, 344, 267, 808, 11482, 269, 3600, 15064, 3601, 540, 513, 24338, 4874, 21666, 622, 1570, 3812, 676, 19605, 5663, 269, 631, 831, 269, 32731, 269, 476, 1001, 277, 267, 476, 8687, 267, 476, 30640, 1700, 26482, 563, 268, 19966, 328, 267, 570, 5919, 918, 1177, 1690, 328, 267, 631, 269, 26365, 2773, 543, 2095, 4162, 538, 19605, 14475, 4874, 21666, 622, 24421, 908, 3002, 12992, 609, 715, 913, 322, 476, 10384, 271, 269, 10331, 269, 26457, 269, 1621, 269, 476, 1708, 272, 267, 476, 3192, 267, 476, 14056, 24129, 563, 268, 717, 592, 267, 808, 269, 313, 5919, 590, 1690, 573, 267, 631, 5919, 932, 16211, 267, 918, 13034, 269, 476, 274, 291, 9102, 3810, 8465, 8833, 9300, 1759, 593, 570, 303, 308, 3766, 1905, 515, 928, 12432, 585, 5955, 689, 1164, 3432, 18951, 3156, 269, 808, 269, 631, 831, 269, 6314, 269, 595, 476, 1001, 280, 267, 476, 278, 267, 476, 5379, 280, 273, 1700, 30420, 272, 563, 268, 631, 3588, 267, 623, 5919, 932, 4725, 571, 267, 681, 5919, 631, 8123, 267, 590, 5919, 23902, 557, 22894, 267, 589, 5919, 590, 987, 599, 324, 267, 590, 5919, 27454, 267, 681, 5919, 667, 663, 2131, 541, 267, 623, 269, 28577, 566, 543, 18572, 540, 20566, 6874, 303, 308, 1759, 6289, 1993, 756, 619, 585, 10138, 7067, 3156, 269, 631, 831, 269, 2233, 269, 1621, 269, 595, 476, 1708, 272, 267, 476, 15686, 267, 476, 9340, 22332, 563, 268, 15651, 267, 595, 5919, 670, 9476, 31000, 267, 589, 5919, 645, 19907, 267, 631, 5919, 623, 5793, 267, 717, 5919, 6182, 6686, 333, 267, 674, 5919, 5576, 8705, 345, 267, 570, 269, 1323, 7634, 540, 31361, 1154, 2623, 540, 5687, 31129, 4874, 675, 628, 2033, 585, 7344, 13021, 3498, 269, 2717, 2096, 269, 4530, 269, 476, 1001, 279, 267, 476, 7761, 267, 476, 27244, 1700, 29257, 563, 268, 2473, 26820, 267, 2473, 5919, 15651, 267, 808, 5919, 595, 2967, 267, 667, 5919, 7200, 267, 700, 5919, 2473, 26820, 267, 674, 269, 589, 3209, 3498, 540, 5687, 31129, 4874, 675, 628, 2033, 11320, 4292, 12285, 8869, 11100, 585, 28890, 13021, 4494, 538, 1164, 18286, 16749, 269, 3690, 335, 269, 2983, 1774, 577, 269, 476, 1708, 272, 267, 476, 2767, 267, 476, 1911, 2004, 274, 563, 268, 932, 16211, 267, 808, 5919, 9855, 267, 667, 2529, 5919, 808, 836, 267, 808, 269, 308, 5919, 962, 514, 267, 654, 11065, 5919, 10557, 267, 645, 5919, 10557, 267, 918, 12282, 269, 31349, 540, 3810, 6198, 1242, 5687, 31129, 4874, 675, 628, 6951, 543, 741, 1761, 3156, 269, 12443, 1067, 630, 294, 4265, 325, 4700, 476, 1001, 278, 267, 476, 14138, 267, 476, 27868, 1700, 29848, 563, 268, 13690, 267, 918, 5919, 5244, 267, 808, 5919, 2672, 327, 267, 808, 11607, 327, 5919, 13690, 267, 631, 5919, 8614, 784, 267, 962, 5919, 5244, 267, 594, 269, 476, 274, 291, 8228, 540, 1617, 807, 343, 658, 3196, 8596, 1210, 3327, 31407, 4209, 630, 290, 18199, 8358, 750, 332, 31129, 4874, 675, 628, 2033, 630, 9143, 308, 264, 2083, 14613, 269, 11576, 269, 2920, 340, 2209, 589, 4284, 269, 476, 1001, 278, 267, 476, 28091, 267, 476, 5392, 274, 1700, 4335, 563, 268, 670, 2129, 25534, 267, 595, 12282, 5919, 8891, 1484, 1014, 267, 717, 5919, 2549, 7942, 267, 589, 5919, 7720, 267, 595, 5919, 623, 7238, 1206, 577, 651, 267, 623, 269, 476, 274, 291, 9102, 25801, 5687, 31129, 4874, 675, 628, 2033, 270, 21666, 31407, 4209, 29322, 585, 3692, 1438, 543, 2650, 345, 2803, 626, 633, 15392, 538, 2571, 533, 928, 9964, 27103, 2209, 269, 5410, 527, 269, 2494, 18860, 269, 476, 1708, 271, 267, 476, 4097, 267, 476, 6200, 27005, 563, 268, 7638, 14259, 23176, 267, 717, 5919, 6341, 16619, 267, 589, 5919, 717, 787, 3000, 1440, 2946, 267, 654, 5919, 11709, 327, 3233, 928, 267, 966, 5919, 11709, 10965, 1157, 267, 645, 5919, 4425, 821, 267, 631, 12991, 5919, 4477, 12661, 753, 267, 570, 5919, 11709, 14208, 648, 2041, 651, 267, 700, 5919, 3816, 517, 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 ]
[ 12167, 585, 519, 946, 519, 2262, 968, 10177, 6463, 892, 13187, 602, 519, 2262, 3085, 1406, 1611, 519, 4984, 568, 856, 7116, 539, 610, 3504, 267, 9444, 1281, 621, 723, 3541, 690, 2218, 25664, 725, 563, 763, 5045, 19052, 1759, 4760, 540, 4008, 543, 4984, 538, 21562, 267, 5892, 1634, 607, 519, 4760, 540, 16268, 18381, 267, 814, 5063, 3370, 513, 2027, 3390, 593, 1482, 20967, 14920, 538, 21562, 607, 519, 15769, 267, 568, 8475, 943, 21105, 543, 521, 16619, 329, 7236, 562, 611, 541, 630, 684, 1751, 540, 737, 342, 1794, 21343, 5991, 7614, 267, 5045, 21562, 264, 2491, 538, 741, 21107, 267, 538, 1082, 19052, 2477, 519, 3390, 540, 1482, 20967, 3347, 814, 1831, 269, 8567, 568, 519, 5354, 4984, 538, 519, 11180, 14081, 540, 519, 598, 2998, 267, 4553, 676, 827, 476, 3199, 260, 540, 519, 2551, 29559, 1331, 19005, 18216, 4301, 476, 3607, 279, 9077, 13889, 656, 476, 3953, 260, 543, 824, 22344, 29559, 630, 10175, 737, 12494, 1481, 626, 3738, 476, 12208, 269, 589, 16472, 540, 1990, 23000, 779, 1699, 3909, 2090, 8723, 1377, 21038, 552, 874, 571, 574, 512, 19313, 328, 575, 8705, 822, 7701, 2144, 11047, 639, 11792, 3438, 320, 10653, 544, 15120, 3711, 328, 5132, 2486, 607, 10630, 538, 3506, 2943, 824, 10764, 899, 19052, 2245, 17038, 10764, 630, 520, 337, 1070, 28991, 267, 14609, 11297, 267, 536, 21036, 685, 328, 543, 19473, 1235, 1851, 1866, 267, 616, 630, 528, 519, 6514, 15819, 543, 269, 898, 1101, 2090, 519, 2495, 540, 4984, 543, 21562, 267, 607, 4493, 585, 1620, 19052, 2757, 4984, 621, 2417, 2090, 519, 15116, 885, 540, 19052, 2757, 4984, 538, 519, 22984, 540, 824, 646, 3217, 4984, 609, 1864, 547, 519, 6514, 4055, 693, 1153, 610, 538, 519, 6280, 952, 646, 568, 513, 22267, 267, 646, 3217, 621, 547, 519, 2777, 540, 269, 1160, 18690, 616, 7215, 540, 7326, 9715, 998, 8086, 267, 1995, 267, 8343, 543, 2489, 1702, 789, 616, 703, 2954, 1644, 547, 519, 2528, 540, 513, 2016, 2486, 547, 5660, 563, 306, 2869, 3770, 640, 543, 4984, 17035, 543, 4984, 723, 13840, 5129, 1271, 5107, 538, 519, 2729, 540, 19052, 22988, 630, 332, 754, 525, 267, 476, 2735, 273, 8821, 956, 267, 476, 1960, 272, 512, 11336, 267, 5247, 660, 517, 1299, 10004, 1562, 267, 476, 2735, 278, 267, 543, 1082, 19052, 22988, 723, 1044, 556, 1563, 609, 513, 2178, 3661, 538, 5601, 610, 513, 2362, 1373, 630, 321, 20477, 1922, 17213, 4802, 267, 476, 2735, 280, 267, 476, 1220, 274, 269, 21846, 531, 5126, 543, 4984, 281, 606, 6514, 540, 5132, 2861, 11051, 538, 32650, 12505, 3540, 2486, 27139, 5126, 543, 4984, 281, 606, 6514, 540, 5132, 2861, 11051, 538, 32650, 12505, 3540, 2486, 28780, 4760, 270, 30700, 13942, 267, 476, 278, 263, 1015, 269, 1684, 2413, 10764, 971, 607, 22344, 640, 543, 28991, 856, 15893, 6805, 3661, 1949, 538, 2413, 21562, 1018, 8167, 540, 519, 1016, 1606, 24532, 12869, 753, 616, 1660, 32093, 2221, 616, 741, 1660, 3916, 2853, 519, 1482, 607, 538, 519, 1647, 7532, 543, 5087, 21562, 269, 3979, 10764, 981, 476, 272, 1353, 1404, 519, 561, 340, 27256, 2620, 2463, 585, 2470, 607, 606, 1271, 851, 540, 519, 7122, 5828, 5128, 630, 326, 617, 264, 883, 3615, 540, 2470, 971, 607, 4054, 267, 7725, 267, 15113, 267, 10239, 267, 8933, 1310, 11264, 5137, 4984, 1336, 538, 1169, 2460, 540, 1272, 10209, 3534, 629, 5601, 540, 519, 5657, 839, 328, 563, 2304, 6514, 540, 519, 4984, 538, 21562, 454, 9824, 16406, 2069, 538, 3506, 281, 2093, 543, 2833, 689, 1472, 519, 1158, 3909, 2069, 538, 3506, 281, 1153, 2069, 538, 6935, 609, 5191, 540, 4984, 543, 3661, 267, 2591, 15054, 585, 4984, 2069, 538, 5045, 21562, 267, 30602, 669, 1938, 614, 476, 2764, 910, 476, 3953, 476, 277, 269, 5783, 268, 978, 657, 543, 24339, 26494, 538, 1990, 23000, 19052, 12602, 476, 6200, 630, 13568, 4231, 476, 1220, 273, 264, 3390, 476, 29710, 575, 858, 867, 267, 533, 476, 2735, 278, 281, 1412, 2378, 878, 320, 4927, 581, 10710, 9166, 606, 813, 26150, 540, 18212, 514, 14551, 339, 13755, 333, 651, 781, 3443, 268, 2378, 878, 534, 5880, 1228, 4760, 540, 4984, 538, 21562, 2073, 1535, 341, 4512, 267, 561, 267, 476, 2735, 278, 269, 634, 12880, 4984, 538, 7532, 607, 807, 267, 1519, 30978, 543, 19580, 267, 543, 5045, 607, 1014, 2477, 971, 607, 642, 28126, 267, 524, 3711, 17377, 267, 543, 555, 16233, 568, 21718, 513, 22344, 640, 734, 322, 987, 4301, 563, 268, 594, 343, 5758, 713, 12031, 568, 513, 10952, 6514, 540, 519, 1523, 540, 556, 4532, 28271, 689, 606, 19052, 1448, 540, 2070, 621, 1281, 865, 267, 7361, 267, 689, 519, 2686, 5133, 540, 519, 513, 16988, 1004, 540, 575, 327, 3570, 563, 268, 3979, 2757, 4984, 281, 606, 6514, 540, 2165, 514, 3098, 1031, 585, 10503, 519, 6805, 5132, 540, 19052, 1004, 267, 1210, 606, 7192, 549, 1417, 878, 17565, 676, 562, 3570, 522, 572, 328, 536, 976, 340, 267, 5127, 1496, 16942, 6870, 316, 3450, 13930, 267, 8257, 540, 1686, 6280, 540, 1309, 701, 5032, 267, 575, 327, 3570, 968, 1492, 9759, 540, 29724, 12258, 11102, 1143, 568, 602, 519, 1533, 799, 568, 1641, 547, 621, 563, 268, 476, 3192, 273, 13513, 267, 9161, 543, 1686, 281, 606, 6514, 540, 519, 960, 540, 4619, 528, 2490, 518, 538, 519, 3140, 1353, 540, 19052, 4984, 267, 12995, 676, 512, 522, 678, 9734, 543, 1775, 562, 737, 574, 14781, 267, 476, 16928, 268, 14983, 561, 5064, 281, 646, 514, 655, 2335, 563, 2005, 568, 10416, 606, 6514, 540, 875, 3909, 4632, 538, 562, 12342, 723, 8329, 547, 519, 2804, 24715, 566, 543, 1875, 704, 18504, 540, 519, 562, 12342, 1533, 543, 540, 875, 4984, 1223, 581, 1065, 3789, 539, 585, 513, 4264, 2804, 1646, 269, 18301, 1222, 267, 2523, 519, 10723, 3344, 540, 519, 5604, 540, 513, 4622, 267, 814, 585, 513, 1279, 942, 19832, 5640, 538, 513, 3099, 540, 4610, 971, 607, 1686, 267, 3909, 2090, 267, 610, 1858, 2090, 15438, 1222, 630, 528, 1022, 2186, 540, 2612, 565, 583, 626, 1379, 264, 543, 922, 2673, 2078, 547, 543, 946, 540, 4984, 585, 519, 3483, 540, 269, 0, 17413, 476, 275, 910, 4563, 628, 1941, 4147, 454, 5978, 4116, 568, 15516, 932, 1513, 2917, 543, 938, 3450, 13930, 568, 11427, 12197, 563, 5978, 1888, 713, 3368, 2165, 568, 1572, 454, 262, 299, 1343, 7736, 547, 3627, 744, 262, 294, 549, 1846, 7055, 2690, 667, 307, 649, 723, 1044, 6236, 13123, 607, 851, 540, 938, 1888, 960, 269, 1284, 6743, 693, 930, 4583, 13123, 267, 1519, 519, 1849, 604, 2023, 12246, 335, 3290, 15167, 267, 543, 649, 2219, 827, 14335, 938, 1378, 13123, 269, 4495, 938, 6272, 941, 2347, 649, 1031, 838, 698, 515, 26152, 543, 22153, 332, 718, 3298, 547, 1711, 513, 11237, 267, 2895, 610, 20022, 8115, 563, 8923, 723, 513, 1413, 693, 938, 960, 2987, 3491, 28698, 2336, 2807, 663, 1287, 930, 8737, 4930, 268, 649, 5433, 649, 1185, 9867, 1967, 855, 621, 729, 1187, 3843, 2336, 2171, 786, 946, 3574, 585, 938, 1985, 13123, 2336, 2171, 723, 1044, 2324, 1360, 2182, 593, 938, 1404, 2676, 31415, 515, 7831, 30947, 538, 10430, 7055, 2171, 4126, 1346, 945, 941, 2111, 547, 4585, 723, 10150, 621, 607, 1454, 607, 649, 1705, 2336, 2171, 616, 20938, 547, 2161, 715, 612, 773, 3788, 2922, 543, 1134, 563, 1103, 13004, 267, 649, 3323, 938, 4201, 4379, 2165, 676, 6236, 1114, 2081, 540, 3206, 827, 2338, 269, 3371, 649, 616, 2679, 2338, 543, 1036, 29470, 547, 1397, 873, 538, 1114, 2081, 269, 0, 2026, 649, 1205, 4514, 883, 519, 2887, 4005, 267, 596, 949, 581, 11842, 827, 519, 2360, 513, 1455, 4411, 786, 723, 593, 707, 1560, 543, 593, 707, 796, 9799, 4816, 269, 1403, 596, 3548, 513, 2635, 2732, 543, 3635, 593, 513, 2834, 4493, 2429, 6379, 267, 707, 4761, 1062, 949, 581, 2178, 2614, 547, 20758, 1055, 1022, 897, 1091, 543, 3676, 269, 1717, 267, 952, 596, 1810, 1406, 3548, 2635, 543, 3668, 2168, 2534, 267, 596, 949, 581, 811, 11630, 547, 897, 1091, 267, 799, 1007, 1382, 2982, 1223, 2333, 707, 4816, 779, 1981, 585, 3384, 10447, 563, 1607, 5767, 1353, 267, 799, 729, 3370, 538, 606, 3390, 540, 7788, 1023, 540, 30665, 267, 8330, 8676, 267, 543, 16332, 1108, 267, 4553, 936, 476, 4335, 1453, 689, 519, 942, 789, 941, 4535, 2394, 789, 5828, 2947, 1296, 2025, 269, 898, 729, 1336, 602, 1453, 4171, 11299, 11124, 689, 936, 1614, 897, 1091, 1282, 6379, 941, 7466, 607, 2693, 547, 1020, 10447, 676, 519, 942, 789, 5828, 2947, 563, 763, 1353, 4589, 5749, 1406, 7357, 2312, 1946, 20414, 2789, 897, 1091, 1282, 6379, 786, 2333, 519, 1981, 585, 10447, 538, 1453, 267, 855, 789, 14353, 602, 972, 949, 581, 513, 4719, 4276, 269, 12624, 338, 945, 3635, 5781, 2429, 6379, 666, 2569, 519, 8458, 789, 3580, 1831, 2192, 676, 607, 1454, 607, 476, 3066, 2600, 269, 21673, 656, 11299, 1058, 849, 2628, 811, 3007, 547, 9363, 2973, 2429, 519, 1554, 543, 11547, 741, 3946, 1310, 15700, 7450, 20362, 267, 7841, 902, 267, 543, 824, 1857, 3688, 267, 607, 1134, 607, 2057, 15700, 741, 3068, 547, 2057, 519, 22151, 540, 8290, 563, 11321, 329, 12929, 5682, 7615, 267, 11022, 267, 6498, 8783, 540, 4937, 26861, 564, 7879, 543, 21859, 928, 19223, 693, 2160, 9869, 8558, 8865, 6481, 4741, 538, 25350, 267, 3081, 602, 596, 949, 581, 2111, 547, 1491, 1978, 936, 7308, 23716, 5061, 547, 1521, 897, 1091, 1282, 6379, 267, 855, 621, 779, 5923, 518, 547, 3801, 547, 13468, 2589, 6923, 585, 519, 19160, 540, 7863, 707, 796, 9799, 4816, 269, 2422, 513, 18519, 8595, 610, 1491, 513, 3636, 17643, 547, 948, 1930, 707, 5609, 4926, 267, 543, 4235, 16909, 29225, 563, 2252, 693, 1022, 1448, 596, 1995, 513, 8611, 1282, 6379, 267, 3346, 707, 28267, 8566, 312, 301, 5612, 269, 5682, 7615, 3081, 2348, 513, 8611, 666, 2322, 707, 4816, 693, 606, 2523, 1164, 1981, 585, 4332, 12889, 267, 2523, 1282, 519, 1101, 959, 30478, 563, 22512, 11592, 2657, 568, 6131, 547, 3246, 596, 609, 519, 1367, 1416, 543, 3007, 596, 991, 865, 596, 666, 6001, 543, 1445, 593, 1018, 568, 1034, 1271, 2443, 519, 4332, 540, 707, 1007, 4816, 269, 13555, 721, 2221, 547, 1451, 811, 827, 938, 6188, 564, 7879, 543, 544, 24471, 2533, 563, 32098, 593, 938, 3896, 568, 585, 21141, 5301, 1152, 543, 1281, 711, 13822, 2564, 5796, 269, 1403, 596, 616, 7680, 513, 2564, 6595, 267, 5225, 1289, 476, 26605, 269, 11408, 5077, 707, 10629, 1354, 1818, 1022, 2242, 547, 707, 2564, 2126, 269, 0, 763, 772, 16744, 667, 3089, 1782, 910, 3367, 1325, 3716, 454, 293, 8543, 24079, 910, 3367, 13966, 454, 295, 753, 4168, 1656, 619, 523, 454, 1607, 1433, 666, 581, 22434, 543, 1224, 538, 11197, 7734, 593, 707, 5839, 610, 25515, 3926, 563, 5649, 2059, 4528, 540, 5929, 1656, 619, 523, 781, 9425, 9661, 609, 12383, 543, 32538, 269, 3367, 543, 6432, 693, 519, 1482, 942, 563, 24679, 729, 17681, 4832, 4365, 538, 519, 2197, 267, 543, 519, 11344, 8970, 267, 519, 3039, 28113, 267, 543, 519, 18720, 560, 2931, 533, 6150, 909, 538, 519, 803, 27595, 6743, 4190, 563, 763, 21868, 781, 5798, 11058, 3481, 281, 855, 519, 2063, 24011, 1782, 267, 3884, 1405, 899, 519, 1964, 907, 4799, 8448, 7734, 538, 901, 10022, 454, 268, 21145, 281, 674, 8543, 24079, 267, 3733, 2195, 1299, 674, 1963, 454, 268, 15618, 281, 476, 1704, 5239, 476, 1001, 275, 454, 268, 21629, 281, 1627, 14741, 802, 454, 268, 7179, 20099, 281, 476, 2537, 9664, 454, 268, 5678, 281, 2296, 454, 268, 10022, 281, 674, 8543, 24079, 910, 3367, 13966, 454, 268, 19405, 281, 476, 274, 269, 272, 0, 303, 3821, 5916, 609, 4439, 574, 807, 666, 723, 8801, 2360, 593, 606, 1367, 779, 5711, 1072, 1282, 6379, 543, 849, 666, 581, 2182, 547, 13209, 543, 1521, 1282, 1346, 8370, 3275, 267, 2687, 547, 513, 1353, 3370, 538, 519, 2904, 270, 18907, 476, 1220, 277, 3390, 540, 4937, 19239, 3588, 267, 519, 9142, 540, 4937, 19239, 3588, 779, 630, 8980, 291, 264, 4791, 267, 9263, 24595, 4760, 563, 303, 3821, 267, 2356, 513, 5728, 633, 2623, 267, 568, 513, 31017, 4189, 4524, 538, 799, 24412, 723, 513, 3586, 14031, 585, 1875, 5991, 8130, 1190, 6878, 269, 10089, 574, 807, 568, 513, 2783, 538, 799, 2550, 31952, 805, 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 ]
[ 538, 519, 12271, 540, 3025, 1472, 519, 1158, 563, 8072, 1692, 666, 649, 2327, 602, 9750, 519, 4395, 4536, 540, 1702, 543, 1907, 14708, 786, 26602, 760, 622, 2864, 982, 10413, 610, 17760, 1511, 8103, 286, 20371, 9515, 10042, 808, 553, 534, 4752, 267, 623, 1721, 11533, 7905, 540, 3163, 543, 5303, 5525, 267, 12370, 17394, 3427, 454, 763, 2078, 1063, 2257, 267, 2029, 267, 543, 1480, 2924, 568, 11251, 538, 519, 9510, 14868, 540, 5375, 12977, 267, 689, 14088, 543, 18832, 779, 1163, 13955, 689, 3798, 523, 1317, 789, 17696, 519, 24193, 4829, 540, 1702, 547, 8871, 9220, 639, 685, 12556, 995, 3375, 547, 3142, 3595, 547, 30768, 269, 1955, 14032, 538, 891, 2984, 568, 513, 19433, 602, 6013, 693, 519, 2295, 540, 5837, 14374, 538, 519, 2361, 540, 3163, 543, 5303, 5525, 630, 4306, 306, 2567, 1215, 666, 649, 2327, 602, 9750, 519, 4395, 4536, 540, 1702, 543, 1907, 14708, 786, 26602, 760, 622, 2864, 982, 10413, 610, 17760, 1511, 8103, 286, 590, 4811, 5088, 806, 519, 10206, 602, 1702, 543, 4066, 799, 616, 1434, 585, 8103, 1058, 2149, 519, 4909, 22225, 540, 519, 17629, 16672, 540, 5274, 7126, 630, 11070, 16281, 264, 2443, 15683, 267, 15698, 267, 7862, 267, 543, 7015, 3125, 2443, 711, 27298, 610, 14207, 873, 563, 8072, 20458, 1689, 568, 21739, 606, 3390, 540, 1072, 9698, 543, 1480, 2924, 19028, 294, 879, 4599, 5178, 340, 267, 10615, 540, 4065, 543, 8889, 267, 4741, 585, 8693, 267, 2657, 267, 543, 519, 6820, 5113, 267, 12370, 570, 13034, 269, 26960, 3427, 540, 5398, 2657, 454, 8601, 1496, 1492, 772, 291, 16281, 779, 5137, 3910, 519, 1158, 4797, 547, 1349, 689, 938, 2067, 2200, 267, 799, 5756, 2663, 3812, 519, 7096, 1007, 3463, 540, 2916, 1689, 269, 1530, 1203, 344, 19317, 1296, 2663, 267, 621, 568, 1869, 1360, 15458, 2436, 649, 786, 11886, 519, 9153, 540, 519, 772, 291, 16281, 269, 8693, 1689, 568, 21739, 606, 3390, 540, 1072, 9698, 543, 1480, 2924, 269, 898, 4679, 519, 1981, 540, 3665, 4365, 2621, 267, 1426, 22584, 267, 1216, 20317, 267, 11763, 3676, 267, 3665, 3002, 267, 2011, 5533, 267, 2790, 1072, 4713, 267, 543, 7142, 9194, 269, 3776, 2518, 3210, 547, 2916, 1689, 786, 3337, 1072, 543, 1514, 6617, 585, 5481, 547, 2097, 269, 634, 772, 291, 16281, 1058, 711, 581, 513, 11979, 3561, 267, 855, 2864, 513, 1289, 547, 2962, 602, 2591, 519, 1158, 547, 16111, 2697, 519, 4220, 547, 8103, 543, 11349, 519, 20440, 547, 8362, 2981, 519, 1158, 2509, 1072, 543, 5126, 269, 901, 786, 2154, 721, 547, 1174, 602, 519, 1072, 543, 1480, 2924, 540, 1480, 7919, 616, 8200, 593, 519, 1072, 543, 1134, 5630, 540, 938, 4541, 269, 0, 297, 1168, 601, 787, 568, 811, 982, 19799, 618, 282, 621, 781, 606, 4082, 540, 2123, 2511, 543, 1419, 11438, 3929, 4644, 269, 6787, 621, 781, 513, 546, 9579, 1782, 8405, 331, 864, 267, 513, 15851, 8258, 267, 610, 513, 6292, 540, 17715, 1274, 337, 902, 267, 519, 8407, 1031, 538, 14446, 1404, 513, 2629, 1909, 538, 741, 15325, 543, 5920, 269, 2290, 11342, 6161, 1851, 14446, 12439, 568, 512, 7568, 5109, 9789, 20585, 532, 610, 32396, 540, 8407, 1813, 547, 1585, 2825, 2188, 269, 1717, 267, 1978, 8407, 1796, 14388, 1996, 512, 7568, 5109, 267, 5356, 513, 9153, 540, 11972, 11958, 4800, 543, 561, 13831, 563, 1432, 6496, 898, 6399, 585, 4035, 601, 787, 547, 2142, 570, 7568, 880, 6363, 872, 888, 307, 7568, 880, 267, 513, 2627, 4494, 540, 14809, 267, 4386, 950, 8407, 2746, 609, 2609, 899, 5135, 267, 16247, 267, 610, 7509, 538, 519, 2011, 610, 593, 519, 2960, 269, 898, 5012, 547, 513, 2530, 540, 19542, 267, 513, 1689, 538, 2681, 267, 543, 3006, 1256, 7293, 3441, 547, 519, 14446, 4062, 563, 307, 7568, 880, 6954, 14446, 4016, 547, 4773, 18705, 689, 8407, 602, 616, 3810, 11259, 547, 713, 2067, 1184, 269, 1452, 8407, 2226, 741, 19542, 543, 561, 13831, 936, 942, 267, 8506, 8766, 5826, 547, 11677, 741, 5898, 269, 4197, 891, 8407, 666, 3391, 721, 538, 1818, 5483, 5079, 950, 8939, 14446, 602, 13978, 32689, 998, 519, 1296, 563, 18404, 1023, 2334, 1763, 626, 570, 7568, 5109, 912, 15447, 333, 585, 922, 678, 10846, 543, 15006, 267, 31091, 6763, 607, 513, 533, 4883, 12386, 540, 512, 7568, 880, 4187, 269, 4706, 17916, 4222, 543, 4187, 547, 5957, 1118, 621, 606, 4998, 3903, 585, 25752, 5979, 558, 7779, 14446, 563, 268, 32255, 13082, 912, 28403, 1242, 585, 922, 26622, 543, 15006, 267, 16243, 5374, 19646, 5140, 4187, 547, 512, 7568, 5109, 269, 4706, 4222, 543, 4187, 547, 14809, 1118, 621, 513, 2442, 3903, 585, 4948, 14446, 563, 30262, 21077, 585, 922, 17426, 2943, 7347, 2470, 267, 24489, 14446, 15225, 11108, 14809, 4187, 269, 4706, 3834, 334, 718, 1120, 21329, 3601, 849, 1118, 621, 606, 10694, 3903, 585, 1346, 609, 6213, 2960, 563, 268, 10910, 18754, 6261, 3836, 2353, 9081, 912, 4407, 711, 513, 4496, 3294, 267, 11002, 18754, 726, 908, 593, 8407, 899, 10322, 1782, 8988, 610, 3043, 4154, 5932, 513, 8825, 11064, 267, 7393, 741, 4187, 547, 512, 7568, 5109, 269, 10910, 18754, 781, 13085, 267, 14436, 2627, 849, 8591, 547, 519, 12716, 9029, 540, 891, 4773, 563, 19119, 540, 570, 7568, 880, 6363, 872, 4035, 601, 787, 912, 299, 517, 14423, 281, 570, 7568, 880, 15033, 8407, 2327, 602, 707, 14446, 15387, 922, 27559, 585, 1296, 1510, 9561, 922, 19542, 563, 20181, 20904, 281, 4035, 601, 787, 1500, 689, 891, 8407, 3340, 8766, 7738, 543, 909, 18141, 3379, 547, 811, 11630, 2326, 563, 309, 619, 12546, 281, 570, 7568, 880, 15033, 14446, 666, 581, 12816, 5781, 1510, 4250, 540, 9561, 922, 11958, 4800, 267, 1818, 621, 5078, 585, 1312, 2027, 14026, 543, 4948, 5957, 563, 29797, 334, 718, 1120, 21329, 16544, 281, 2368, 540, 891, 8407, 267, 899, 24489, 267, 616, 3834, 334, 718, 1120, 21329, 267, 1818, 873, 5078, 585, 1346, 609, 6213, 2960, 610, 4496, 11959, 563, 20059, 532, 538, 512, 7568, 880, 6954, 14446, 3091, 711, 1152, 27610, 5898, 855, 849, 519, 22059, 540, 11972, 2298, 269, 4197, 519, 8407, 602, 5706, 512, 7568, 5109, 2337, 721, 1118, 5483, 3664, 950, 7446, 4773, 602, 786, 2611, 32689, 543, 19644, 585, 5481, 547, 2097, 563, 1103, 519, 1158, 540, 14446, 267, 519, 6043, 540, 512, 7568, 880, 6954, 8407, 6173, 919, 711, 1175, 519, 15312, 855, 849, 519, 3929, 543, 2366, 14939, 1871, 540, 891, 10475, 19799, 906, 269, 6787, 621, 781, 519, 11972, 27559, 540, 31091, 610, 519, 31933, 6043, 540, 16243, 5374, 267, 891, 8407, 28196, 710, 519, 10206, 540, 15851, 25894, 267, 9621, 606, 2479, 331, 8463, 575, 548, 600, 602, 25186, 3466, 543, 942, 563, 2691, 5275, 14446, 602, 3788, 2150, 7568, 1639, 267, 891, 8407, 4196, 607, 581, 659, 976, 267, 13057, 721, 4724, 16782, 602, 5963, 1796, 519, 1449, 540, 942, 269, 0, 295, 2752, 300, 2177, 312, 910, 5794, 26736, 2742, 27620, 454, 5522, 553, 2742, 568, 606, 9357, 1242, 3154, 268, 513, 3154, 883, 799, 6190, 1648, 568, 3177, 547, 1863, 9211, 689, 8444, 610, 6675, 543, 547, 1450, 1312, 2249, 267, 12274, 267, 543, 9211, 267, 547, 30598, 563, 5522, 553, 2742, 666, 581, 5258, 883, 3905, 543, 4411, 11919, 269, 769, 3905, 11919, 267, 9211, 543, 12274, 723, 5176, 519, 1482, 1648, 630, 328, 4318, 1421, 3160, 2837, 1070, 899, 519, 3141, 269, 12019, 11919, 568, 513, 1875, 25668, 10329, 1141, 519, 6475, 2837, 568, 1454, 28555, 982, 519, 2837, 540, 519, 12274, 543, 22011, 1023, 269, 5221, 4411, 11919, 7472, 19535, 2249, 1510, 8781, 519, 26828, 267, 621, 814, 513, 2647, 5044, 540, 3156, 538, 2564, 5468, 563, 308, 4513, 585, 12019, 26736, 2742, 538, 15482, 8534, 14898, 454, 18719, 1407, 20607, 532, 23848, 454, 7093, 2389, 13015, 540, 519, 7252, 1354, 28455, 2337, 547, 19334, 519, 2627, 543, 3035, 6793, 16345, 563, 21675, 593, 595, 10984, 545, 5080, 5865, 454, 4415, 513, 2110, 11919, 2126, 593, 17375, 7252, 1991, 547, 12962, 1350, 5074, 267, 519, 13556, 6106, 9566, 548, 883, 7252, 543, 1100, 3476, 1065, 601, 1813, 547, 2627, 8082, 563, 19119, 540, 27321, 26736, 2742, 630, 15253, 1563, 547, 28820, 10840, 26736, 2742, 994, 32046, 538, 476, 1001, 274, 267, 15089, 13960, 29119, 17467, 267, 5549, 269, 568, 513, 10672, 543, 2733, 12460, 540, 5959, 543, 2564, 2472, 563, 11754, 816, 281, 476, 18357, 275, 9466, 13749, 681, 323, 12052, 267, 17834, 476, 4792, 273, 6349, 454, 17490, 281, 1341, 476, 272, 476, 6872, 274, 268, 2568, 278, 268, 12010, 278, 454, 23175, 638, 6621, 540, 1773, 11047, 611, 550, 267, 5549, 563, 11754, 816, 281, 476, 23884, 277, 7720, 329, 1511, 595, 339, 12052, 267, 17834, 476, 4792, 273, 6349, 454, 17490, 281, 1341, 272, 476, 6872, 274, 268, 279, 4037, 268, 5780, 279, 273, 454, 10387, 841, 281, 1496, 16942, 6870, 316, 0, 15933, 32387, 2709, 513, 3209, 3070, 547, 1921, 1507, 543, 4571, 13355, 2199, 11396, 267, 799, 14350, 3668, 519, 4336, 547, 7443, 2406, 2344, 741, 2472, 269, 5221, 1082, 1426, 32387, 7048, 593, 14828, 543, 24960, 344, 547, 1683, 2533, 543, 616, 711, 8209, 7443, 12454, 267, 6990, 949, 16662, 1549, 958, 16136, 4405, 622, 1813, 547, 936, 514, 4034, 618, 269, 1284, 946, 513, 6109, 268, 18782, 2203, 547, 7447, 519, 3328, 772, 2529, 269, 10315, 2551, 2556, 585, 835, 267, 1079, 267, 543, 1614, 1426, 32387, 547, 2736, 1256, 269, 3776, 4681, 2303, 602, 3609, 15670, 543, 24960, 1235, 991, 547, 2015, 519, 8876, 4390, 540, 519, 2199, 1426, 1604, 543, 2551, 1991, 547, 5885, 3606, 1426, 32387, 563, 31871, 540, 3817, 454, 347, 22711, 540, 16581, 543, 12754, 13188, 454, 347, 13775, 910, 3967, 476, 1001, 280, 454, 5472, 3163, 4750, 19032, 630, 3008, 297, 290, 264, 9479, 454, 268, 10960, 3163, 543, 25672, 1108, 454, 268, 3397, 25348, 543, 30495, 3163, 454, 268, 13188, 543, 8859, 564, 7879, 0, 18814, 547, 519, 4473, 538, 14324, 29777, 538, 519, 2136, 2276, 267, 519, 3710, 1604, 5170, 547, 7985, 3441, 269, 631, 21863, 5656, 17663, 513, 1713, 6712, 540, 519, 3710, 6561, 1604, 585, 1034, 2477, 543, 616, 11630, 547, 2067, 10898, 269, 1717, 267, 1382, 693, 519, 10167, 540, 3665, 2842, 15205, 543, 7293, 14304, 1419, 10714, 338, 8978, 543, 10172, 5989, 267, 3226, 11389, 514, 1721, 1027, 544, 21863, 5656, 267, 3056, 547, 741, 17181, 689, 519, 2679, 3009, 269, 901, 1353, 6663, 547, 2697, 1585, 2188, 602, 1860, 14796, 547, 11389, 514, 1721, 1027, 544, 21863, 3889, 1282, 28575, 15205, 269, 1677, 2253, 267, 519, 7293, 2773, 540, 8978, 544, 21863, 25481, 1310, 519, 2904, 7615, 267, 918, 312, 28575, 538, 476, 1708, 272, 729, 11117, 267, 609, 1617, 574, 27567, 1239, 6394, 593, 21935, 267, 1519, 19666, 11147, 267, 8265, 268, 1613, 11052, 267, 543, 2143, 2361, 4967, 593, 4767, 14796, 269, 634, 593, 21935, 1239, 3769, 19666, 11147, 267, 8265, 268, 1613, 11052, 267, 543, 2143, 2361, 4967, 585, 519, 4767, 14796, 269, 901, 1239, 729, 29979, 676, 31150, 1382, 543, 9916, 547, 2697, 519, 5817, 3347, 1063, 2679, 10305, 543, 3441, 2157, 269, 634, 2164, 5815, 602, 14796, 538, 8978, 5656, 941, 3573, 543, 14354, 547, 519, 1032, 540, 4070, 543, 519, 3845, 689, 519, 28575, 855, 711, 8209, 547, 519, 27164, 7257, 4567, 563, 5472, 3163, 4750, 19032, 630, 3008, 297, 290, 264, 9479, 454, 268, 11061, 630, 332, 529, 3250, 10389, 994, 268, 10049, 3163, 630, 332, 529, 3250, 10389, 994, 268, 13188, 267, 8859, 564, 7879, 543, 16010, 263, 718, 994, 268, 8950, 3163, 10241, 0, 763, 22477, 540, 10430, 267, 513, 521, 1061, 516, 543, 519, 4210, 867, 540, 3557, 1118, 909, 519, 12968, 2293, 540, 10430, 543, 789, 616, 519, 9510, 1036, 26515, 3688, 538, 519, 3703, 1772, 956, 563, 763, 4210, 867, 540, 3557, 7389, 1394, 547, 476, 5611, 278, 269, 898, 729, 513, 10516, 689, 15352, 25840, 4083, 547, 3751, 6276, 10001, 269, 898, 729, 538, 22632, 540, 6276, 779, 20237, 540, 8567, 269, 589, 4210, 867, 540, 3557, 3090, 2478, 519, 16313, 779, 1379, 547, 946, 519, 1533, 1996, 922, 14763, 543, 519, 10279, 547, 1832, 519, 4708, 563, 9928, 582, 1633, 779, 4210, 867, 540, 3557, 729, 1500, 676, 519, 7969, 7376, 267, 667, 1580, 4815, 13005, 590, 13223, 269, 898, 3800, 2947, 3952, 538, 3259, 543, 8719, 513, 3105, 13677, 1500, 4210, 867, 540, 3557, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2872, 814, 17379, 538, 2487, 1296, 267, 621, 3788, 606, 1271, 851, 540, 519, 3148, 779, 1686, 563, 278, 269, 14716, 540, 519, 772, 2529, 269, 23681, 476, 272, 454, 308, 2529, 269, 23681, 476, 272, 267, 799, 8255, 998, 1325, 2742, 267, 21781, 267, 729, 1101, 9112, 538, 476, 4572, 277, 269, 634, 19814, 4448, 2950, 538, 11908, 267, 8419, 267, 543, 519, 8349, 21590, 267, 6679, 909, 1007, 3255, 585, 2951, 543, 16450, 269, 4653, 267, 23681, 476, 272, 3788, 606, 1271, 8905, 585, 5179, 1235, 10707, 909, 543, 1524, 519, 5101, 11076, 563, 4322, 3140, 2621, 723, 1185, 513, 9434, 1764, 593, 519, 1325, 2742, 1858, 543, 3136, 547, 3337, 922, 3961, 2221, 269, 6787, 596, 2461, 513, 1686, 10889, 610, 3274, 5461, 538, 1565, 811, 827, 713, 851, 540, 11908, 267, 1325, 2742, 3091, 513, 3638, 543, 4241, 19214, 883, 519, 2250, 563, 268, 16193, 281, 21781, 0, 8139, 519, 9238, 540, 2244, 1144, 11429, 2924, 267, 11645, 267, 543, 3656, 13800, 568, 1898, 267, 2523, 585, 1101, 6066, 2244, 18046, 269, 901, 1702, 16877, 2043, 547, 1118, 5483, 3664, 543, 28863, 741, 4690, 269, 769, 713, 5816, 2022, 267, 3358, 547, 7085, 3317, 10118, 543, 2637, 2098, 267, 649, 786, 5490, 883, 519, 1883, 3344, 540, 2244, 9562, 563, 5804, 3959, 2924, 543, 3656, 9021, 547, 519, 4483, 540, 9562, 267, 649, 786, 1683, 513, 3102, 7650, 540, 1018, 596, 991, 547, 917, 1354, 10115, 538, 2244, 269, 1635, 519, 1439, 540, 713, 2022, 267, 596, 786, 723, 513, 2312, 1620, 540, 519, 2924, 543, 11645, 2404, 609, 2244, 9562, 267, 30015, 596, 547, 6330, 713, 1713, 1900, 609, 6015, 563, 8139, 16296, 13574, 11429, 454, 8139, 3959, 9562, 568, 2629, 585, 4896, 3168, 547, 4283, 519, 1483, 10040, 2344, 269, 898, 3322, 6616, 519, 3656, 8847, 267, 2010, 540, 3959, 267, 543, 4909, 2924, 2404, 609, 2244, 1144, 11429, 563, 2080, 267, 649, 3580, 5490, 883, 519, 3656, 5943, 540, 3959, 9562, 543, 2263, 519, 1114, 2010, 540, 3959, 267, 3246, 3407, 4030, 585, 1101, 6066, 2244, 18046, 563, 299, 20235, 26479, 540, 16296, 13574, 11429, 454, 19187, 1399, 9562, 13315, 1483, 3959, 543, 2123, 3959, 269, 7464, 3959, 4016, 547, 2244, 543, 4376, 18385, 7923, 547, 621, 267, 971, 607, 5656, 543, 2067, 2200, 269, 2201, 519, 824, 1688, 267, 2123, 3959, 2882, 1940, 762, 3688, 899, 6472, 267, 11647, 267, 543, 14446, 269, 31692, 5109, 1063, 1483, 543, 2123, 3959, 568, 1898, 585, 1620, 9562, 2924, 543, 3656, 13800, 563, 15650, 540, 16296, 454, 293, 2465, 2241, 9562, 14828, 519, 23649, 2347, 1852, 936, 519, 2244, 267, 1519, 519, 1318, 547, 6133, 267, 25755, 267, 610, 1780, 621, 593, 547, 646, 15077, 269, 901, 1826, 540, 9562, 3091, 519, 1034, 3573, 22753, 540, 2924, 543, 568, 1419, 8179, 1310, 676, 3959, 18046, 3168, 585, 13190, 563, 8867, 848, 3835, 9562, 3322, 8066, 519, 1318, 547, 946, 513, 3959, 585, 513, 1808, 1974, 896, 519, 2474, 540, 513, 25755, 6876, 269, 2755, 25755, 6868, 1810, 1406, 1378, 519, 2244, 30739, 267, 789, 723, 519, 1318, 547, 19582, 543, 946, 621, 2687, 547, 519, 25755, 2474, 269, 901, 11460, 568, 1455, 538, 5010, 543, 10821, 1483, 10040, 563, 13349, 9314, 3763, 906, 454, 13349, 1719, 7835, 267, 971, 607, 598, 3256, 514, 1756, 338, 543, 9709, 1770, 7835, 630, 303, 11070, 338, 1070, 4125, 3838, 9562, 540, 1455, 2127, 543, 6703, 1369, 513, 2146, 269, 13574, 619, 723, 1367, 4559, 610, 6266, 267, 2059, 609, 606, 1719, 538, 519, 2146, 779, 3838, 5624, 267, 7307, 998, 21427, 685, 12205, 563, 8139, 519, 16082, 540, 891, 3959, 2010, 16877, 1101, 6066, 2244, 18046, 547, 1118, 5483, 3664, 1759, 593, 741, 2189, 7375, 543, 1279, 3856, 3853, 563, 1103, 3932, 267, 6616, 519, 3656, 8847, 543, 2010, 540, 3959, 568, 606, 1898, 5748, 585, 10188, 519, 10848, 540, 3959, 9562, 269, 1306, 25378, 2244, 18046, 666, 15407, 713, 1702, 547, 1118, 5483, 5079, 543, 5150, 741, 4690, 538, 519, 1483, 10040, 5251, 563, 305, 2074, 543, 13786, 4850, 540, 8092, 1144, 11429, 454, 302, 342, 940, 2244, 2501, 609, 513, 2189, 1305, 540, 2924, 543, 9021, 602, 1169, 2244, 26782, 1058, 581, 3222, 540, 269, 1452, 2924, 543, 11645, 711, 1152, 829, 1555, 547, 519, 1367, 3959, 855, 849, 8831, 547, 519, 4478, 2146, 543, 15231, 3601, 563, 2005, 779, 1898, 585, 1101, 6066, 2244, 18046, 267, 3226, 7085, 3317, 10118, 543, 2637, 2098, 267, 547, 1174, 519, 6286, 540, 2244, 1144, 11429, 4628, 269, 2913, 779, 5490, 883, 519, 1808, 2924, 543, 11645, 2404, 609, 26539, 2244, 563, 27455, 14935, 723, 1896, 4909, 2924, 2404, 609, 741, 3959, 269, 1452, 1331, 519, 1318, 547, 946, 267, 4483, 267, 543, 23868, 1866, 689, 519, 3959, 563, 268, 9406, 547, 2422, 281, 1306, 513, 2244, 26782, 267, 596, 723, 519, 1318, 547, 1118, 946, 540, 707, 3959, 607, 596, 1294, 3514, 267, 1369, 519, 6302, 540, 519, 1876, 543, 2199, 6042, 563, 268, 9406, 547, 18734, 281, 1411, 723, 519, 1318, 547, 6133, 610, 4483, 707, 3959, 547, 1866, 607, 596, 632, 655, 3617, 267, 1641, 547, 3656, 4170, 543, 1022, 4540, 11650, 563, 268, 9406, 547, 1401, 2850, 281, 1411, 4865, 519, 1318, 547, 23868, 1866, 689, 10024, 610, 1210, 707, 3959, 1510, 707, 10479, 563, 11101, 267, 2244, 14935, 723, 519, 1318, 547, 4309, 13180, 538, 519, 2680, 540, 900, 5799, 6389, 267, 1141, 519, 2229, 4203, 2231, 4357, 3959, 585, 1857, 946, 269, 4197, 891, 2924, 16877, 2244, 14935, 547, 1118, 5483, 3664, 827, 741, 3959, 563, 302, 4565, 580, 725, 543, 667, 583, 625, 454, 1103, 1840, 547, 2924, 267, 2244, 1144, 11429, 849, 14122, 1585, 3656, 13800, 543, 9021, 602, 1590, 581, 740, 22363, 547, 563, 268, 16296, 20904, 281, 8092, 14935, 616, 3743, 585, 519, 909, 18141, 543, 5826, 540, 741, 3959, 267, 4180, 621, 568, 2922, 543, 1134, 31720, 22633, 538, 13076, 609, 2199, 6042, 563, 268, 32237, 540, 16296, 12525, 525, 281, 16296, 5411, 616, 8078, 539, 547, 2628, 3959, 9204, 547, 519, 4143, 8128, 267, 7700, 547, 2199, 5989, 267, 1857, 2533, 267, 543, 18497, 1646, 563, 268, 1520, 11447, 547, 2098, 11238, 22769, 281, 898, 779, 1898, 585, 2244, 14935, 547, 16783, 609, 1990, 11238, 6042, 267, 799, 27774, 875, 519, 3959, 666, 581, 1031, 543, 2919, 1759, 593, 519, 11280, 1990, 11238, 1858, 563, 8139, 543, 16180, 891, 11645, 616, 2629, 3344, 540, 3743, 2244, 1144, 11429, 267, 7700, 547, 519, 2949, 1134, 5630, 540, 519, 2146, 543, 519, 1697, 8647, 540, 519, 3656, 5943, 563, 2690, 2417, 3877, 593, 519, 2924, 543, 11645, 540, 2244, 1144, 11429, 267, 596, 949, 3277, 547, 891, 4143, 2200, 281, 1520, 14765, 1456, 8092, 14935, 7126, 543, 744, 4565, 580, 725, 281, 634, 17943, 267, 8092, 13574, 11429, 7126, 1107, 16296, 4521, 267, 634, 3557, 540, 7147, 8092, 26782, 779, 9291, 540, 7126, 267, 634, 17943, 540, 8092, 13574, 11429, 281, 1548, 1411, 10261, 547, 5700, 267, 23688, 783, 7126, 267, 667, 583, 625, 267, 543, 9149, 3809, 540, 1520, 14765, 1456, 8092, 14935, 563, 9558, 2536, 2590, 13574, 11429, 543, 13751, 744, 4565, 580, 725, 454, 9558, 2536, 2590, 3959, 9562, 3322, 1585, 2409, 543, 3656, 13800, 602, 1312, 519, 22673, 543, 519, 23138, 991, 547, 15666, 547, 269, 4197, 519, 14960, 540, 3959, 4483, 568, 2629, 267, 2523, 585, 1101, 6066, 2244, 18046, 563, 4131, 779, 5490, 883, 519, 2409, 540, 3959, 4483, 543, 519, 2404, 3656, 13800, 563, 32325, 540, 16296, 18734, 454, 763, 4483, 540, 3959, 9562, 666, 2049, 998, 1114, 2409, 267, 1519, 9042, 267, 10516, 267, 610, 18472, 269, 1879, 9513, 513, 3959, 267, 513, 632, 539, 568, 3335, 1031, 547, 16155, 4483, 519, 9562, 2924, 689, 519, 22673, 547, 519, 23138, 269, 2201, 519, 824, 1688, 267, 10317, 1154, 513, 3959, 3322, 32380, 22151, 519, 9562, 2924, 689, 519, 1699, 8227, 547, 519, 18579, 1510, 1022, 13075, 5385, 563, 12234, 267, 18472, 4386, 950, 3959, 568, 5293, 1524, 547, 646, 15077, 998, 513, 786, 610, 9123, 2329, 4031, 269, 3962, 1505, 814, 3982, 3656, 4170, 543, 9270, 602, 1590, 581, 9619, 547, 2327, 513, 5347, 4483, 540, 9562, 563, 2690, 3236, 267, 950, 22151, 3959, 998, 513, 9042, 267, 6105, 991, 547, 705, 728, 676, 519, 3656, 6101, 885, 540, 22589, 513, 4570, 6455, 4579, 267, 10647, 2140, 19707, 267, 543, 735, 2391, 609, 23930, 4170, 269, 17957, 267, 10317, 1154, 3959, 3340, 15984, 547, 1808, 10516, 3454, 6042, 543, 12319, 269, 769, 2665, 540, 18472, 267, 1620, 519, 14960, 540, 2625, 622, 4031, 267, 786, 338, 267, 610, 3972, 7245, 568, 1898, 585, 513, 15774, 4483, 540, 9562, 563, 2005, 779, 16122, 585, 2043, 3238, 538, 3959, 4483, 547, 3343, 3656, 8480, 543, 4497, 538, 1813, 31806, 547, 11886, 519, 3656, 4170, 2404, 609, 1142, 4483, 1505, 563, 299, 20235, 744, 4565, 580, 725, 538, 16296, 18734, 454, 299, 20235, 13800, 1404, 513, 11358, 1909, 538, 3959, 4483, 267, 4180, 11413, 267, 9355, 267, 543, 4027, 585, 782, 6105, 3238, 269, 7170, 19707, 616, 513, 4909, 2460, 540, 3959, 4483, 267, 607, 789, 19472, 519, 22673, 779, 3656, 1318, 547, 4483, 9562, 543, 2697, 1022, 4540, 15073, 839, 610, 1958, 636, 1962, 1734, 593, 519, 3959, 563, 12234, 267, 12607, 17007, 17640, 547, 519, 3959, 779, 2783, 267, 1686, 267, 543, 1022, 1570, 12889, 1590, 581, 24829, 547, 519, 23138, 547, 7520, 606, 5483, 3375, 6194, 1184, 563, 9961, 519, 3959, 4483, 1184, 267, 3656, 4648, 267, 971, 607, 1483, 10040, 27192, 610, 6655, 19188, 267, 1404, 513, 2565, 1909, 538, 14123, 513, 15774, 4483, 540, 9562, 269, 1358, 4217, 538, 26004, 543, 17265, 3656, 6054, 267, 10647, 1813, 31806, 267, 543, 4180, 10220, 609, 1533, 10391, 4031, 543, 6042, 269, 12056, 3656, 4648, 666, 11574, 519, 4220, 2404, 609, 3959, 4483, 543, 1683, 3102, 3656, 4027, 585, 1312, 519, 22673, 543, 519, 23138, 563, 8139, 519, 2409, 540, 3959, 4483, 543, 519, 3656, 13800, 3238, 568, 1898, 585, 1101, 6066, 2244, 18046, 547, 6330, 519, 14960, 540, 1483, 10040, 8852, 18390, 269, 1635, 8508, 513, 14942, 1935, 543, 5275, 3318, 5583, 267, 2043, 666, 6330, 3959, 4483, 3157, 3927, 267, 6038, 17516, 741, 2924, 607, 3959, 5411, 563, 2690, 811, 1344, 593, 22151, 3959, 9562, 267, 596, 666, 3277, 547, 16367, 2200, 971, 607, 18734, 2590, 16296, 13574, 11429, 547, 7731, 267, 4077, 640, 267, 543, 2859, 543, 13751, 18467, 1677, 18734, 16296, 563, 8855, 267, 1620, 519, 16082, 540, 3959, 4483, 16877, 2043, 547, 1118, 5483, 3664, 543, 16102, 741, 4690, 538, 1483, 10040, 8852, 563, 28406, 532, 16296, 7126, 454, 2691, 621, 2501, 547, 1373, 513, 2244, 26782, 267, 7863, 3959, 2924, 568, 1898, 269, 13751, 6127, 543, 1455, 2152, 1419, 8451, 267, 865, 621, 779, 1271, 547, 1174, 875, 547, 6330, 891, 2591, 3927, 563, 299, 20235, 31469, 585, 16296, 10466, 454, 27455, 14935, 723, 1569, 547, 1585, 3656, 2645, 543, 6127, 547, 2149, 741, 3959, 2924, 269, 661, 848, 906, 267, 799, 9886, 1808, 2924, 547, 1866, 547, 1569, 610, 946, 519, 3959, 267, 616, 1455, 1806, 540, 971, 6127, 269, 3958, 267, 524, 8576, 1218, 3715, 8815, 5346, 517, 3652, 543, 9993, 585, 519, 946, 540, 519, 2244, 267, 3246, 513, 5943, 585, 3959, 4027, 269, 5015, 267, 2244, 946, 6042, 1305, 676, 2199, 8128, 27774, 875, 519, 3959, 666, 581, 8246, 267, 4946, 1776, 4494, 540, 4027, 563, 2005, 779, 2629, 585, 1101, 6066, 2244, 18046, 547, 24559, 2933, 609, 891, 3656, 6127, 543, 3343, 3318, 5583, 547, 2327, 741, 3959, 2924, 616, 9580, 12023, 3927, 563, 13349, 16296, 7126, 12983, 454, 289, 895, 776, 13882, 267, 1958, 25209, 906, 267, 543, 562, 7572, 766, 6811, 616, 1851, 519, 1455, 2152, 5185, 676, 2244, 14935, 269, 21940, 776, 13882, 666, 8451, 1813, 547, 15458, 3959, 3515, 267, 1958, 25209, 906, 2049, 950, 15231, 3601, 26418, 2390, 519, 2244, 267, 543, 562, 7572, 766, 6811, 4125, 18063, 18363, 519, 18399, 540, 519, 3959, 563, 11754, 7675, 891, 2152, 1369, 519, 3656, 5943, 568, 4105, 269, 16418, 532, 3656, 8480, 543, 1620, 4143, 4031, 666, 948, 2244, 14935, 3927, 2232, 891, 1455, 3959, 2924, 2152, 267, 4180, 513, 5150, 543, 11791, 9562, 1995, 563, 8139, 519, 3656, 6127, 2139, 543, 1373, 5423, 547, 10994, 1455, 3959, 2924, 2152, 16877, 1101, 6066, 2244, 18046, 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 ]
[ 630, 321, 264, 31591, 519, 7817, 6881, 3301, 476, 6434, 693, 519, 6205, 6728, 4433, 264, 476, 10844, 585, 13156, 519, 6881, 2773, 607, 606, 5304, 4759, 786, 563, 8138, 8019, 267, 3268, 476, 5325, 275, 543, 476, 5325, 277, 616, 5340, 21276, 569, 13296, 1142, 7817, 2348, 513, 7817, 6843, 476, 6321, 814, 922, 7817, 6881, 3301, 476, 6434, 538, 513, 7227, 1533, 7996, 585, 513, 6881, 4971, 4433, 264, 689, 519, 3984, 476, 1220, 3842, 519, 3060, 476, 3583, 267, 1247, 538, 1900, 476, 5325, 277, 267, 519, 6205, 4433, 264, 585, 519, 6881, 2773, 11887, 519, 1101, 4015, 540, 7222, 6881, 12415, 543, 18993, 1080, 519, 3961, 540, 519, 5697, 4015, 547, 519, 3984, 476, 1220, 269, 8074, 602, 972, 666, 581, 811, 982, 835, 4528, 540, 519, 6881, 689, 799, 519, 6205, 666, 2824, 12415, 585, 9306, 547, 519, 5304, 2818, 269, 4329, 267, 4063, 602, 540, 519, 8747, 1373, 5697, 267, 519, 1459, 8798, 949, 8850, 2824, 1016, 951, 687, 547, 581, 3177, 547, 1585, 5304, 2818, 4470, 2390, 267, 552, 3052, 1421, 1239, 2557, 18993, 3827, 676, 519, 3060, 476, 3583, 689, 1543, 3103, 21665, 476, 9834, 269, 1717, 267, 621, 568, 849, 606, 2460, 540, 519, 1459, 8798, 602, 519, 6205, 4433, 264, 949, 936, 20183, 519, 13128, 5542, 540, 1016, 951, 687, 540, 513, 6881, 2773, 543, 5924, 23626, 602, 513, 1880, 1016, 11437, 581, 3177, 547, 1585, 5304, 2818, 269, 769, 1880, 267, 713, 666, 581, 12913, 676, 281, 3246, 1152, 835, 14906, 819, 540, 2707, 1570, 971, 607, 513, 1164, 6571, 9746, 20446, 543, 6028, 782, 14595, 4199, 4610, 540, 519, 7097, 10145, 543, 3246, 1152, 835, 968, 24038, 892, 540, 7097, 539, 2200, 585, 602, 6881, 4015, 267, 607, 786, 581, 5941, 538, 2417, 1469, 23954, 10964, 578, 609, 4704, 547, 16658, 269, 476, 274, 563, 1103, 1900, 476, 21878, 267, 952, 519, 6205, 6728, 476, 10844, 3246, 519, 3961, 540, 519, 6881, 12415, 568, 5007, 547, 519, 4238, 4099, 476, 6812, 267, 1287, 519, 3354, 1016, 17882, 476, 21172, 11974, 519, 6205, 3403, 585, 14496, 3842, 267, 552, 3052, 1421, 8159, 519, 3060, 476, 3583, 2232, 689, 799, 519, 3961, 540, 519, 5697, 6881, 12415, 723, 1044, 10299, 269, 32114, 602, 519, 6771, 689, 519, 6205, 6728, 476, 10844, 568, 16363, 4570, 267, 538, 1900, 476, 275, 3445, 267, 513, 8990, 568, 1500, 607, 547, 2436, 519, 6205, 4433, 264, 814, 5462, 513, 1985, 4015, 540, 835, 610, 811, 12415, 4171, 9163, 723, 1044, 13859, 547, 519, 3984, 476, 1220, 269, 769, 1880, 267, 519, 6205, 4433, 264, 949, 3442, 547, 2697, 971, 12415, 547, 519, 3984, 476, 1220, 267, 610, 5815, 602, 519, 2773, 540, 519, 6881, 547, 581, 2165, 3990, 269, 22353, 267, 952, 1100, 824, 12415, 616, 5462, 543, 5924, 519, 6205, 4433, 264, 8612, 6881, 2773, 26694, 267, 1287, 1900, 476, 5392, 275, 568, 5340, 13296, 519, 6881, 3301, 476, 6434, 568, 6569, 689, 7817, 9136, 476, 6321, 563, 21446, 8271, 267, 952, 606, 3606, 4015, 540, 12415, 568, 5462, 267, 1287, 538, 1900, 476, 4335, 267, 519, 3984, 476, 1220, 1569, 525, 519, 6881, 7097, 4433, 264, 609, 519, 6205, 13859, 1541, 5874, 585, 519, 10126, 4015, 267, 7551, 13844, 3606, 1239, 3688, 3823, 519, 12415, 540, 519, 4015, 607, 786, 581, 2417, 4330, 23954, 10964, 578, 563, 8138, 8019, 267, 538, 1900, 476, 27843, 267, 519, 3984, 476, 1220, 1569, 525, 519, 4199, 3758, 476, 18891, 585, 20547, 5691, 3103, 13996, 4408, 538, 519, 15600, 10126, 4015, 585, 7551, 3246, 4890, 1543, 3103, 13996, 3060, 476, 3583, 9607, 2348, 693, 2547, 519, 3381, 8747, 540, 519, 6881, 269, 3958, 267, 4063, 602, 621, 568, 1369, 519, 9165, 540, 519, 1459, 8798, 602, 4199, 3758, 476, 18891, 666, 849, 581, 15600, 585, 20547, 1541, 13294, 543, 7551, 7114, 513, 7222, 8301, 6712, 547, 581, 4843, 547, 5304, 2818, 3842, 519, 8301, 1062, 476, 13136, 543, 519, 6049, 8115, 4433, 264, 476, 1911, 563, 16729, 1900, 476, 27843, 267, 538, 1900, 476, 2004, 279, 267, 519, 3984, 476, 1220, 15920, 835, 610, 811, 12981, 547, 1142, 5299, 540, 519, 7817, 6881, 3301, 476, 6434, 10834, 1312, 519, 1985, 4015, 540, 12415, 547, 581, 27366, 676, 519, 7817, 9136, 543, 519, 3060, 476, 3583, 9607, 540, 519, 3119, 543, 14595, 3103, 21665, 476, 9834, 689, 799, 547, 23074, 519, 10126, 4015, 563, 2005, 568, 1271, 547, 4063, 602, 519, 3984, 949, 6494, 15186, 8195, 513, 1114, 1305, 540, 12981, 547, 1114, 7817, 4609, 476, 6321, 4470, 593, 519, 4162, 5551, 585, 519, 6881, 693, 1142, 7817, 3135, 563, 7712, 4393, 2687, 547, 519, 1459, 8798, 4386, 693, 513, 6881, 3984, 17120, 476, 1220, 543, 8195, 693, 7817, 9136, 476, 6321, 267, 1282, 519, 4393, 3268, 476, 5325, 277, 998, 476, 2004, 279, 5340, 20716, 689, 519, 7817, 9136, 476, 6321, 267, 519, 7817, 9136, 607, 829, 1900, 476, 5325, 275, 267, 949, 581, 5423, 585, 16561, 519, 1985, 6881, 12981, 10299, 676, 519, 3984, 476, 1220, 538, 1900, 476, 2004, 279, 269, 1717, 267, 971, 3984, 9136, 476, 6321, 949, 581, 849, 21276, 569, 3246, 1585, 13980, 540, 519, 6881, 2773, 547, 741, 9757, 5304, 2818, 269, 769, 1022, 2680, 267, 950, 1900, 476, 276, 1626, 568, 11402, 267, 519, 7817, 9136, 476, 6321, 723, 4607, 519, 1985, 3984, 476, 1220, 10299, 12981, 543, 4061, 519, 7817, 9136, 1631, 4283, 513, 4393, 1533, 17929, 891, 9136, 3801, 547, 26924, 513, 12905, 524, 2286, 540, 713, 1985, 4015, 540, 12415, 585, 12905, 2773, 540, 741, 6712, 540, 519, 6881, 563, 1103, 1900, 476, 276, 1626, 267, 513, 8990, 568, 1500, 676, 519, 7817, 6881, 3301, 476, 6434, 693, 1142, 7817, 6843, 476, 6321, 2390, 799, 519, 3301, 568, 16041, 267, 607, 547, 2436, 519, 1985, 4015, 540, 12415, 8612, 676, 519, 835, 610, 811, 12981, 10299, 676, 519, 6881, 9013, 3984, 616, 27057, 524, 3737, 593, 519, 7817, 781, 7817, 6843, 476, 6321, 269, 8074, 602, 713, 1985, 4015, 540, 12415, 1223, 723, 1044, 5892, 524, 3737, 693, 513, 7817, 6843, 476, 6321, 1813, 547, 281, 15682, 21461, 12981, 585, 524, 2286, 606, 3003, 3758, 15682, 602, 729, 9783, 4505, 538, 519, 6881, 2773, 267, 3177, 676, 6378, 2923, 971, 607, 7131, 268, 15375, 693, 519, 7817, 9136, 4433, 264, 476, 6321, 267, 610, 556, 14025, 540, 6881, 12415, 971, 607, 14103, 2985, 12043, 267, 4282, 2592, 267, 610, 27291, 563, 6097, 569, 267, 952, 519, 1985, 4015, 540, 12415, 568, 711, 524, 3737, 593, 513, 7817, 6843, 476, 6321, 267, 1287, 1900, 476, 276, 2190, 568, 5340, 13296, 519, 7817, 6881, 3301, 476, 6434, 593, 519, 7817, 6843, 476, 6321, 3096, 922, 1034, 2487, 3060, 476, 3583, 1239, 6771, 4162, 1927, 609, 519, 3984, 476, 1220, 10299, 1592, 540, 1699, 3060, 476, 3583, 9607, 585, 1543, 3103, 21665, 476, 9834, 547, 2824, 606, 3617, 1543, 3103, 13996, 543, 606, 3617, 4528, 540, 519, 1985, 4015, 540, 12415, 547, 581, 27366, 269, 8074, 602, 519, 25926, 5462, 538, 713, 1900, 616, 5340, 609, 519, 3804, 540, 1028, 1005, 602, 972, 568, 513, 1164, 5506, 540, 713, 1985, 4015, 540, 12415, 1373, 9447, 547, 519, 7817, 6843, 476, 6321, 1991, 547, 519, 942, 602, 713, 4015, 568, 547, 581, 1031, 538, 519, 6881, 2773, 593, 519, 7817, 6843, 269, 769, 1880, 267, 519, 1739, 568, 513, 6609, 540, 519, 3268, 5340, 538, 8159, 267, 689, 519, 3060, 476, 3583, 1239, 6771, 4162, 267, 519, 1543, 3103, 13996, 476, 9834, 543, 519, 630, 11357, 264, 4528, 540, 519, 1985, 4015, 540, 12415, 547, 581, 27366, 269, 634, 5542, 540, 519, 3103, 13996, 949, 581, 8200, 2390, 519, 942, 28286, 1540, 585, 519, 4483, 543, 519, 3060, 476, 3583, 6771, 4162, 971, 607, 1239, 6771, 2557, 269, 634, 942, 585, 1142, 3060, 476, 3583, 4483, 540, 513, 4015, 540, 12415, 630, 324, 3052, 1421, 835, 610, 811, 6881, 2609, 267, 1142, 971, 3693, 2348, 835, 610, 811, 12415, 972, 514, 264, 568, 6417, 676, 519, 3984, 476, 1220, 269, 634, 3984, 476, 1220, 1374, 919, 942, 2687, 547, 693, 2547, 835, 540, 519, 1739, 6688, 281, 630, 320, 264, 1100, 942, 267, 13296, 519, 6881, 3693, 4433, 264, 568, 547, 581, 10268, 5612, 267, 630, 321, 264, 22543, 9548, 267, 13296, 519, 2179, 540, 942, 585, 4483, 540, 519, 6881, 3693, 4433, 264, 568, 22543, 9548, 267, 543, 630, 322, 264, 513, 1808, 942, 8884, 8612, 538, 513, 7097, 4971, 585, 519, 6881, 267, 552, 3052, 1421, 513, 968, 341, 23709, 942, 892, 4971, 607, 8612, 676, 12981, 630, 4900, 264, 540, 519, 7097, 3254, 538, 16658, 269, 476, 274, 2348, 2418, 538, 519, 476, 30663, 6241, 607, 786, 581, 5941, 23954, 10964, 578, 269, 8074, 602, 607, 519, 4397, 2179, 540, 942, 585, 13098, 1324, 835, 610, 811, 6881, 2609, 561, 1263, 1492, 985, 267, 3677, 2516, 540, 6881, 2609, 949, 581, 27366, 543, 5924, 1732, 6881, 2298, 6881, 2609, 949, 581, 27366, 630, 324, 3052, 1421, 519, 6881, 2298, 949, 581, 8476, 689, 3908, 610, 1100, 14318, 547, 2407, 14318, 1916, 12234, 267, 519, 6881, 3693, 4433, 264, 5697, 568, 8200, 2390, 3060, 10873, 971, 607, 26824, 543, 674, 9143, 269, 1280, 1383, 267, 607, 519, 2450, 540, 519, 6881, 1239, 543, 519, 942, 585, 23023, 4679, 267, 519, 1459, 8798, 11148, 547, 8415, 674, 9143, 585, 3060, 476, 3583, 3560, 269, 17968, 267, 607, 519, 2450, 540, 519, 6881, 1239, 543, 519, 942, 585, 23023, 11081, 267, 519, 1459, 8798, 11148, 547, 946, 26824, 563, 6097, 569, 267, 538, 835, 20032, 540, 1900, 476, 276, 2190, 267, 519, 2450, 540, 1142, 11134, 4015, 540, 835, 610, 811, 6881, 2609, 568, 5462, 689, 519, 3103, 21665, 476, 9834, 676, 267, 552, 3052, 1421, 31392, 971, 7306, 269, 1306, 606, 11735, 267, 4063, 602, 606, 16315, 540, 519, 19961, 2139, 609, 1142, 971, 3103, 13996, 666, 581, 5462, 952, 711, 2139, 6382, 269, 4935, 267, 952, 972, 568, 513, 3119, 3103, 13996, 476, 9834, 320, 543, 606, 4244, 3103, 13996, 476, 9834, 321, 267, 543, 1142, 814, 6881, 8747, 585, 1312, 26824, 543, 674, 9143, 607, 1134, 607, 1312, 2348, 19347, 543, 1875, 12845, 13846, 20049, 762, 6881, 2609, 267, 1287, 606, 4397, 942, 585, 13098, 1324, 1142, 2139, 4999, 568, 5462, 269, 30272, 267, 519, 11134, 4015, 5697, 2488, 1101, 267, 519, 5207, 2298, 6881, 267, 543, 2034, 267, 519, 4102, 2179, 540, 6881, 1239, 2009, 269, 9182, 267, 519, 4397, 2053, 616, 1031, 547, 2824, 519, 3103, 21665, 476, 9834, 267, 519, 4015, 540, 6881, 2609, 267, 543, 519, 4483, 7014, 547, 946, 538, 3246, 519, 5697, 4015, 547, 519, 7817, 6843, 476, 6321, 563, 1103, 835, 20032, 267, 519, 1739, 5542, 1184, 568, 1031, 547, 3313, 519, 4397, 2053, 912, 1721, 1142, 11134, 4015, 540, 6881, 2609, 912, 5416, 264, 634, 2450, 540, 519, 4015, 568, 5462, 563, 6357, 264, 634, 2450, 568, 5258, 676, 519, 19961, 3328, 585, 519, 2063, 1079, 3764, 607, 6027, 689, 1022, 3060, 476, 3583, 6771, 2707, 269, 1403, 519, 3328, 19961, 568, 711, 2139, 267, 1287, 513, 19961, 689, 519, 1034, 2487, 3103, 13996, 568, 1031, 563, 6262, 264, 589, 7014, 16841, 3815, 568, 3773, 547, 519, 1267, 540, 630, 321, 264, 547, 2272, 585, 519, 1114, 16841, 338, 585, 1142, 540, 519, 1114, 10873, 2139, 593, 3060, 476, 3583, 602, 949, 581, 1031, 630, 324, 3052, 1421, 674, 9143, 543, 26824, 1916, 5560, 264, 8564, 519, 5207, 2298, 4015, 540, 6881, 2609, 2139, 267, 543, 2824, 519, 4102, 4015, 602, 666, 581, 11843, 538, 519, 942, 2139, 269, 8074, 602, 621, 568, 10924, 602, 606, 22543, 9548, 942, 25084, 676, 519, 3984, 476, 1220, 568, 9763, 607, 942, 6190, 585, 1022, 2450, 540, 4483, 563, 2005, 568, 26656, 547, 4063, 602, 538, 824, 12589, 9323, 540, 519, 1459, 8798, 267, 3606, 3060, 4162, 824, 982, 19961, 949, 581, 1031, 267, 607, 835, 9952, 538, 519, 1148, 786, 1174, 269, 769, 1880, 267, 971, 4162, 607, 3060, 476, 3583, 5470, 3928, 267, 15088, 538, 19961, 267, 610, 513, 16762, 8579, 20772, 540, 19961, 949, 581, 1031, 269, 3958, 267, 4063, 602, 971, 11134, 10070, 540, 6881, 2609, 666, 849, 581, 17055, 693, 519, 7817, 6843, 476, 6321, 2094, 930, 13980, 540, 513, 6881, 666, 581, 849, 7856, 593, 7131, 268, 15375, 338, 269, 22353, 267, 1900, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 11847, 564, 1438, 8833, 5945, 267, 4122, 1634, 607, 681, 10485, 267, 568, 519, 31169, 540, 5679, 527, 1562, 10876, 269, 1306, 513, 14704, 543, 19784, 267, 594, 6108, 1034, 540, 1250, 942, 2901, 26095, 610, 17511, 269, 898, 779, 711, 513, 1390, 4999, 267, 543, 594, 4076, 1185, 547, 1582, 21553, 2821, 1896, 26095, 536, 753, 1813, 547, 681, 10485, 2094, 11836, 634, 12928, 7867, 563, 1432, 7063, 666, 12928, 9231, 2014, 888, 15152, 2391, 2175, 269, 2961, 25659, 15993, 6794, 267, 12263, 267, 9594, 9416, 543, 25688, 4345, 666, 782, 581, 24395, 730, 676, 26095, 269, 1403, 596, 1265, 602, 972, 568, 513, 18596, 1966, 538, 519, 21389, 1235, 610, 3946, 267, 2911, 547, 721, 547, 1265, 856, 1018, 519, 2783, 568, 543, 875, 547, 1491, 1416, 540, 621, 563, 1692, 1279, 1281, 621, 1491, 585, 681, 10485, 547, 12115, 888, 1692, 1279, 1281, 681, 10485, 1491, 547, 12115, 286, 1403, 596, 1491, 519, 1318, 23833, 3268, 543, 3343, 2126, 607, 4166, 607, 2009, 267, 681, 10485, 1058, 12115, 1369, 3670, 3275, 269, 769, 930, 2665, 267, 519, 2589, 540, 681, 10485, 666, 1831, 513, 1279, 3856, 267, 5312, 1966, 563, 1692, 798, 596, 5679, 527, 681, 10485, 888, 1805, 641, 26095, 1318, 2476, 543, 2322, 606, 4672, 3640, 593, 519, 4299, 1858, 269, 25592, 1575, 19745, 523, 949, 849, 948, 855, 952, 538, 1022, 8969, 979, 543, 1294, 707, 4387, 269, 12928, 527, 1562, 7092, 689, 681, 10485, 4043, 547, 723, 2042, 538, 741, 21389, 1235, 267, 19758, 267, 3946, 267, 683, 4242, 610, 1022, 4999, 563, 1721, 6553, 543, 12490, 563, 4692, 681, 10485, 581, 8628, 888, 2252, 621, 4422, 15860, 267, 681, 10485, 666, 1291, 547, 8628, 3441, 269, 1403, 596, 960, 693, 513, 2780, 610, 946, 12227, 1141, 596, 10956, 519, 1482, 1507, 1688, 543, 6186, 5322, 936, 1279, 5712, 267, 596, 666, 1020, 519, 2589, 540, 681, 10485, 563, 1692, 798, 596, 2057, 7063, 538, 26095, 888, 268, 5590, 513, 22245, 269, 6875, 513, 476, 1015, 18826, 2736, 1169, 3368, 5662, 610, 476, 3393, 3764, 269, 6693, 268, 2422, 9764, 19271, 585, 2462, 3785, 269, 2279, 724, 753, 267, 1279, 10077, 1407, 267, 543, 4418, 11596, 616, 5230, 267, 543, 8066, 519, 2898, 1788, 593, 835, 2786, 13549, 12662, 513, 2603, 540, 8833, 593, 707, 21389, 1235, 269, 6693, 268, 2422, 3170, 19271, 269, 6693, 268, 23063, 909, 2786, 563, 9989, 26095, 948, 707, 2634, 888, 298, 333, 9231, 568, 1434, 585, 519, 2634, 267, 855, 621, 666, 581, 1434, 585, 707, 1560, 1932, 269, 3509, 20650, 1995, 7411, 609, 1688, 31378, 11558, 607, 789, 2085, 269, 1879, 596, 5679, 527, 5781, 267, 596, 3196, 707, 2634, 543, 707, 3946, 547, 960, 1927, 267, 4509, 707, 5386, 5179, 1983, 563, 1692, 798, 596, 1205, 7759, 540, 16625, 8833, 5945, 888, 268, 6646, 1107, 1519, 1612, 659, 564, 600, 565, 267, 2110, 3856, 946, 540, 4550, 13611, 11955, 267, 971, 607, 16481, 1575, 19745, 523, 267, 610, 1928, 13805, 1532, 24286, 6527, 267, 971, 607, 930, 3029, 540, 31520, 267, 952, 596, 2461, 3478, 4049, 2589, 610, 29169, 3207, 563, 268, 4411, 24502, 267, 13412, 7028, 610, 513, 10943, 842, 563, 9989, 16625, 8833, 5945, 979, 2476, 888, 305, 10485, 2356, 16569, 1152, 513, 1906, 2395, 610, 4374, 952, 5701, 5265, 538, 519, 2038, 5933, 267, 855, 621, 666, 1860, 513, 1268, 585, 1082, 1296, 952, 711, 5701, 610, 8995, 5265, 538, 519, 4098, 630, 303, 2444, 732, 25651, 1299, 2372, 559, 614, 267, 476, 1960, 275, 1916, 1432, 616, 519, 2947, 2589, 540, 681, 10485, 888, 13349, 681, 10485, 12580, 454, 268, 898, 568, 8781, 267, 513, 4221, 610, 15246, 1928, 563, 268, 7066, 332, 832, 267, 804, 4548, 1465, 543, 31018, 563, 268, 15310, 8982, 610, 513, 3668, 540, 4222, 563, 268, 31808, 1145, 538, 519, 3946, 610, 2062, 15767, 269, 6693, 268, 30975, 609, 4948, 2238, 267, 552, 3052, 269, 6679, 9885, 267, 14299, 4771, 5388, 267, 7432, 593, 513, 7148, 563, 268, 20048, 1227, 4411, 3946, 267, 3226, 519, 31840, 563, 1692, 798, 596, 2057, 681, 10485, 888, 1692, 547, 2061, 681, 10485, 454, 268, 4509, 1434, 14302, 693, 960, 1107, 1294, 875, 547, 1694, 693, 513, 11380, 7157, 563, 268, 2921, 2834, 9397, 689, 1279, 610, 16625, 4247, 1107, 621, 779, 1732, 547, 1491, 4130, 267, 811, 7928, 9397, 982, 835, 1279, 12899, 2736, 563, 268, 3843, 7244, 5751, 952, 596, 2461, 14129, 563, 4692, 26095, 10413, 707, 21389, 1235, 888, 4692, 26095, 2014, 1688, 1928, 286, 8786, 256, 12928, 9231, 3096, 513, 2603, 540, 1507, 267, 16625, 20517, 547, 1118, 519, 25573, 269, 23560, 891, 20517, 936, 543, 936, 543, 936, 1586, 666, 1118, 519, 3946, 543, 21389, 1235, 13110, 267, 13888, 267, 543, 513, 16408, 563, 3674, 26095, 3983, 585, 707, 4064, 888, 2791, 1810, 1406, 1616, 547, 581, 2695, 842, 532, 693, 1346, 25573, 610, 707, 4806, 256, 2560, 1656, 1175, 899, 950, 596, 616, 3168, 693, 707, 2780, 610, 16979, 1932, 1279, 267, 5329, 707, 4064, 5059, 593, 707, 1788, 585, 1932, 1279, 666, 1291, 547, 3750, 8833, 543, 1256, 14331, 269, 11088, 267, 7928, 9397, 666, 948, 563, 1692, 3983, 568, 681, 10485, 888, 303, 3233, 14302, 666, 1291, 547, 4049, 8405, 543, 1394, 7063, 269, 853, 2130, 693, 513, 2780, 5496, 666, 1291, 547, 3750, 8833, 269, 3115, 564, 1438, 8757, 585, 513, 10856, 666, 1291, 547, 6186, 543, 8405, 8833, 607, 1134, 607, 11983, 12623, 11496, 269, 681, 10485, 568, 711, 513, 1808, 2564, 5868, 267, 855, 2864, 513, 1920, 540, 4713, 563, 1432, 568, 519, 1034, 1455, 16625, 5163, 5945, 888, 763, 1034, 1455, 2010, 540, 16625, 5163, 7063, 616, 4043, 514, 4345, 543, 536, 2720, 4345, 269, 1452, 1079, 4713, 616, 2352, 547, 16174, 543, 1082, 2053, 949, 30598, 269, 589, 25688, 568, 513, 3043, 32248, 5160, 602, 13462, 4887, 547, 5642, 543, 2636, 585, 3350, 693, 782, 10549, 2429, 519, 1480, 1560, 563, 3674, 681, 10485, 513, 9659, 888, 305, 10485, 568, 1362, 539, 607, 513, 9659, 269, 901, 1797, 952, 596, 2461, 1869, 2324, 267, 707, 16108, 1590, 1118, 10257, 11941, 1247, 596, 2461, 693, 960, 269, 0, 288, 5299, 540, 713, 960, 729, 2139, 593, 519, 1857, 1357, 543, 814, 1044, 12873, 538, 519, 10158, 3724, 10724, 269, 634, 7001, 7389, 689, 476, 1001, 280, 282, 596, 666, 849, 3643, 519, 3312, 15745, 563, 763, 3758, 1826, 568, 454, 290, 1886, 3676, 3112, 581, 8308, 10567, 676, 8806, 7421, 1367, 2068, 3123, 269, 8307, 998, 4070, 540, 513, 3102, 2079, 1062, 666, 3755, 581, 3177, 609, 11236, 540, 3810, 21483, 3676, 269, 769, 713, 1353, 267, 6531, 2861, 2029, 5827, 540, 7829, 519, 4015, 267, 2079, 267, 543, 12605, 540, 6694, 1604, 1344, 538, 835, 1455, 3760, 729, 2919, 269, 634, 6069, 12426, 607, 513, 6796, 630, 293, 30962, 264, 7471, 1062, 7028, 1164, 7400, 3498, 2533, 676, 8742, 281, 1015, 269, 26552, 271, 4882, 8687, 9610, 7906, 30202, 281, 19054, 277, 3451, 8287, 3170, 13906, 281, 320, 278, 341, 277, 12320, 336, 3953, 329, 326, 343, 9071, 4097, 6921, 13062, 342, 341, 340, 600, 275, 0, 25369, 2732, 585, 1079, 6366, 32567, 16004, 3464, 267, 7167, 333, 617, 529, 24094, 269, 630, 290, 1961, 30601, 281, 645, 1575, 6135, 13160, 994, 28158, 4750, 540, 9980, 558, 1108, 454, 763, 1292, 6662, 729, 547, 1020, 606, 5841, 2732, 585, 1079, 6366, 32567, 16004, 3464, 267, 7167, 333, 617, 529, 512, 2940, 1962, 542, 529, 700, 269, 543, 595, 269, 3327, 7559, 918, 29888, 269, 630, 290, 1961, 30601, 281, 645, 1575, 6135, 13160, 1070, 799, 616, 4049, 10860, 540, 6149, 26258, 24914, 538, 519, 11335, 16935, 269, 634, 1198, 540, 5946, 689, 1585, 2959, 267, 6871, 540, 16794, 5160, 538, 519, 2732, 543, 2732, 2497, 593, 12586, 1998, 2208, 543, 6668, 941, 11567, 269, 634, 1034, 3811, 2732, 8659, 476, 273, 269, 279, 260, 2013, 514, 543, 476, 275, 269, 277, 260, 3819, 1786, 4546, 781, 13803, 607, 519, 3940, 2707, 269, 1280, 2347, 454, 1862, 2781, 269, 1280, 2347, 12586, 1998, 1646, 543, 3811, 7782, 566, 621, 568, 1898, 547, 1331, 16794, 5160, 689, 519, 3984, 2030, 538, 519, 2732, 269, 6399, 12586, 1998, 1646, 942, 729, 27571, 676, 476, 1015, 268, 1321, 2395, 950, 556, 1563, 593, 513, 2732, 5627, 476, 736, 260, 16794, 5160, 3379, 609, 556, 2130, 593, 2732, 5627, 476, 1015, 260, 16794, 5160, 269, 5565, 1114, 2732, 3889, 941, 2838, 267, 513, 1471, 32654, 5119, 585, 519, 1101, 543, 2034, 1128, 541, 16793, 543, 5671, 518, 1835, 3518, 569, 2732, 267, 799, 2636, 519, 16793, 547, 1847, 1369, 519, 2732, 267, 585, 4587, 16793, 269, 2311, 476, 2764, 9180, 593, 519, 5841, 2732, 595, 269, 512, 2940, 1962, 542, 529, 543, 595, 269, 3327, 7559, 6192, 741, 1646, 538, 476, 273, 268, 273, 269, 276, 3275, 3379, 547, 519, 476, 277, 268, 1556, 3275, 6592, 538, 18303, 15250, 1841, 269, 595, 269, 512, 2940, 1962, 542, 529, 6707, 6192, 1079, 5481, 593, 519, 5841, 2732, 269, 0, 4537, 6832, 12034, 16529, 8789, 2021, 607, 9409, 267, 796, 11499, 543, 16160, 607, 1082, 824, 2367, 538, 519, 476, 1626, 628, 543, 476, 1704, 628, 2540, 563, 3891, 7959, 789, 1590, 581, 27052, 543, 713, 568, 1018, 649, 1294, 2429, 713, 1404, 269, 4653, 649, 1294, 16529, 8789, 2021, 607, 3339, 1480, 7919, 269, 1358, 616, 15197, 1175, 607, 824, 1004, 616, 543, 1256, 15197, 811, 1317, 1004, 1745, 602, 2899, 2021, 723, 741, 2295, 1305, 593, 1945, 789, 1279, 585, 621, 267, 899, 15248, 16077, 543, 1200, 20440, 547, 1831, 10348, 269, 2368, 2367, 1265, 3532, 543, 8789, 2021, 5418, 553, 9092, 538, 713, 2413, 1158, 269, 2467, 616, 9090, 1082, 4128, 1946, 15248, 16077, 568, 519, 1034, 4277, 543, 22841, 1915, 538, 713, 1404, 563, 763, 1101, 942, 649, 2743, 15248, 16077, 779, 23892, 7209, 568, 538, 2920, 476, 272, 26657, 476, 276, 269, 1280, 1034, 540, 713, 6429, 15248, 16077, 568, 4805, 538, 513, 4055, 267, 1101, 2542, 513, 4484, 1287, 6340, 538, 1151, 559, 13228, 344, 269, 769, 1200, 1101, 1395, 860, 826, 1352, 568, 10416, 6031, 602, 1200, 9393, 267, 16077, 267, 568, 711, 2178, 2614, 3330, 547, 12638, 3751, 30338, 269, 2701, 7959, 602, 1200, 9393, 3112, 3479, 519, 6760, 543, 20475, 713, 547, 9887, 281, 968, 563, 907, 594, 798, 4250, 16815, 2470, 267, 1315, 898, 568, 1932, 2407, 522, 685, 628, 6557, 20488, 540, 1480, 11587, 18679, 269, 901, 1797, 602, 646, 568, 1932, 2407, 540, 14017, 543, 11587, 3330, 7868, 5144, 602, 646, 3893, 689, 1010, 3993, 779, 6089, 568, 1869, 3330, 540, 1864, 543, 646, 568, 711, 513, 812, 855, 2864, 513, 4807, 269, 15248, 16077, 14659, 602, 16077, 1058, 3251, 9602, 543, 1657, 27421, 1247, 1352, 4566, 856, 519, 12638, 9887, 267, 646, 1058, 2048, 7498, 628, 685, 4883, 12510, 8768, 685, 2495, 602, 646, 1058, 3251, 17608, 2394, 646, 862, 1080, 519, 1799, 7394, 957, 547, 1118, 1864, 1831, 4622, 269, 10801, 519, 6429, 1352, 8952, 13288, 547, 519, 1249, 602, 16077, 568, 1932, 31604, 547, 1685, 519, 6760, 269, 2048, 2507, 554, 537, 546, 739, 4250, 547, 798, 16224, 519, 12638, 267, 15248, 16077, 3081, 547, 19531, 622, 16077, 563, 9515, 568, 711, 8746, 602, 16077, 666, 6146, 519, 3751, 30338, 20136, 568, 4277, 267, 7487, 602, 16077, 568, 835, 540, 519, 16999, 593, 519, 25071, 543, 15248, 16077, 1522, 711, 917, 1018, 646, 568, 4628, 5827, 540, 1317, 1352, 568, 711, 1851, 519, 1004, 602, 646, 24515, 609, 269, 769, 713, 6429, 649, 1265, 856, 1082, 23892, 1919, 827, 15248, 16077, 779, 7209, 267, 1352, 6499, 547, 1831, 811, 540, 513, 812, 543, 649, 1294, 875, 1352, 8060, 16077, 865, 3362, 269, 2701, 568, 678, 3578, 1652, 538, 13197, 1200, 2832, 540, 15294, 1359, 30338, 543, 786, 711, 1450, 4376, 547, 1205, 538, 1200, 1259, 2529, 515, 814, 519, 2898, 12638, 1184, 9709, 856, 538, 1200, 2212, 543, 568, 7996, 585, 519, 1318, 4090, 538, 519, 3751, 779, 3251, 547, 3479, 519, 12638, 269, 6271, 1249, 827, 15248, 16077, 602, 2982, 721, 875, 4277, 543, 23892, 1352, 568, 267, 568, 519, 1249, 602, 2429, 519, 1404, 267, 689, 950, 1352, 8815, 609, 16077, 602, 789, 941, 2469, 547, 3479, 519, 12638, 267, 1352, 1185, 1044, 1360, 5462, 543, 2178, 563, 1103, 2920, 476, 273, 26657, 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 ]
[ 1362, 855, 538, 5100, 270, 3059, 2069, 5468, 789, 1223, 798, 621, 593, 741, 1378, 267, 9115, 543, 2238, 1223, 581, 24018, 547, 741, 1808, 2115, 543, 789, 1223, 581, 6462, 676, 1367, 3688, 789, 616, 3222, 540, 563, 31166, 1949, 666, 1683, 5955, 267, 6351, 267, 543, 5464, 1107, 693, 4928, 7400, 610, 693, 1753, 950, 4448, 547, 519, 5769, 1107, 2073, 5968, 891, 8850, 269, 1358, 666, 948, 538, 3246, 1367, 2213, 2866, 270, 1565, 7886, 547, 513, 3677, 1895, 540, 2043, 563, 2690, 1970, 1606, 330, 2683, 4079, 267, 513, 4324, 666, 581, 602, 609, 5100, 2069, 789, 1205, 1569, 547, 513, 2413, 1565, 1604, 269, 1358, 1522, 711, 991, 3063, 3457, 899, 513, 2780, 610, 5100, 16979, 855, 1223, 946, 741, 5100, 6049, 543, 7641, 4448, 547, 519, 1565, 1604, 267, 610, 1022, 824, 3926, 5827, 547, 581, 851, 540, 519, 14164, 563, 12179, 1808, 2115, 1058, 581, 2808, 267, 1519, 552, 3052, 269, 2009, 2539, 3059, 1983, 267, 2792, 543, 630, 26020, 264, 6881, 1983, 267, 1022, 2539, 2841, 1878, 1644, 547, 1565, 547, 1451, 630, 15290, 621, 2501, 547, 1582, 268, 11391, 1077, 618, 267, 1582, 28621, 3660, 1565, 547, 1582, 2173, 582, 10474, 264, 543, 2319, 2324, 538, 3059, 5054, 269, 15742, 569, 267, 891, 616, 3344, 267, 799, 1058, 849, 581, 1420, 1042, 538, 2757, 4928, 3450, 855, 1223, 581, 9619, 972, 4443, 538, 1694, 24926, 267, 538, 2489, 269, 1717, 267, 713, 949, 1100, 3476, 581, 3020, 1141, 972, 616, 1082, 1970, 1606, 330, 2683, 4079, 538, 835, 1576, 610, 1082, 540, 519, 1482, 6030, 267, 610, 1141, 789, 2661, 538, 6552, 2127, 543, 1223, 711, 7119, 5781, 693, 2757, 3068, 547, 3068, 2866, 552, 3052, 563, 314, 10113, 2457, 2140, 284, 892, 26794, 540, 14164, 538, 2866, 540, 2937, 1970, 1606, 330, 2683, 6267, 892, 2639, 31166, 3435, 1118, 2866, 5054, 21273, 269, 634, 14164, 814, 519, 1761, 547, 28196, 710, 875, 2937, 6267, 267, 1656, 4048, 9233, 543, 16984, 2170, 543, 1921, 3842, 2029, 543, 3457, 538, 2866, 5468, 269, 898, 666, 948, 3986, 1565, 2833, 267, 2087, 3872, 4093, 269, 1656, 4048, 9233, 538, 2866, 540, 1970, 1606, 330, 2683, 4079, 666, 946, 14164, 547, 1118, 519, 2069, 1184, 811, 4277, 543, 7317, 282, 5473, 849, 14164, 689, 1753, 543, 519, 960, 1747, 666, 948, 6318, 4656, 540, 2640, 543, 1118, 4245, 19927, 3015, 563, 19324, 2403, 585, 1970, 1606, 330, 2683, 6267, 267, 519, 5769, 540, 12085, 1797, 3255, 269, 1635, 1797, 540, 10995, 1565, 5054, 267, 789, 666, 1569, 1565, 9115, 543, 12043, 602, 616, 10502, 3358, 547, 741, 2127, 540, 960, 610, 1719, 269, 4746, 10703, 22133, 616, 3457, 602, 21028, 519, 3755, 14350, 543, 3082, 547, 873, 267, 585, 1383, 609, 513, 3677, 13944, 269, 14164, 666, 4061, 22771, 585, 1114, 8741, 1431, 540, 6267, 1369, 513, 1565, 1895, 563, 2005, 568, 2556, 547, 948, 1970, 9952, 2937, 6267, 1020, 1983, 538, 1931, 547, 1831, 4712, 585, 519, 2104, 269, 2806, 1988, 899, 2565, 3206, 267, 1893, 15334, 267, 543, 1582, 1673, 3925, 666, 581, 2919, 7494, 1210, 519, 14164, 269, 634, 1353, 540, 670, 32080, 631, 858, 4802, 670, 2117, 22620, 12243, 7000, 602, 6267, 945, 946, 14342, 547, 1451, 13174, 666, 2333, 741, 6060, 676, 476, 736, 10065, 1635, 3246, 7317, 1995, 693, 519, 1367, 1377, 267, 513, 16419, 14164, 813, 666, 7494, 3986, 15226, 21485, 338, 4398, 269, 634, 14164, 2029, 849, 11579, 6233, 2059, 609, 5957, 1963, 538, 519, 5100, 4928, 269, 898, 666, 1118, 1565, 811, 4277, 543, 2087, 519, 7607, 540, 1312, 1970, 1606, 330, 2683, 6267, 543, 1656, 4048, 9233, 563, 763, 2069, 1184, 2115, 1312, 3007, 543, 1719, 689, 519, 2937, 6267, 799, 1360, 1419, 568, 1256, 811, 2352, 585, 1970, 1606, 330, 2683, 6267, 269, 634, 14164, 2029, 6087, 2069, 14540, 547, 9772, 547, 513, 15226, 1922, 1371, 1935, 269, 898, 568, 2009, 547, 1205, 1344, 827, 519, 26531, 4555, 540, 1970, 9952, 2937, 6267, 7064, 547, 552, 3052, 269, 5957, 1963, 543, 14164, 4999, 269, 901, 2337, 1656, 4048, 9233, 547, 2226, 741, 1445, 593, 741, 1970, 1606, 330, 2683, 6267, 269, 634, 2866, 5238, 666, 849, 948, 960, 593, 4227, 2566, 543, 1020, 513, 15226, 15129, 1935, 602, 666, 3565, 547, 741, 1646, 563, 31166, 543, 6639, 7760, 723, 13087, 2937, 6267, 547, 1569, 10467, 543, 3606, 2200, 267, 2059, 609, 3059, 9499, 269, 1452, 2395, 267, 2866, 9499, 2270, 30040, 9479, 547, 14458, 741, 23842, 849, 585, 1970, 1606, 330, 2683, 4079, 593, 5100, 3457, 269, 898, 3091, 519, 9744, 540, 9170, 543, 20471, 1565, 799, 568, 540, 5413, 547, 1970, 1606, 330, 2683, 6267, 945, 1360, 1419, 991, 811, 3007, 267, 811, 10221, 1431, 267, 811, 5751, 547, 1451, 543, 2259, 1702, 543, 1983, 269, 14164, 849, 2636, 513, 476, 2190, 270, 278, 2792, 1063, 6267, 543, 1656, 4048, 9233, 1107, 1519, 1022, 3926, 849, 693, 1753, 610, 693, 960, 602, 666, 581, 4448, 547, 519, 538, 1716, 564, 269, 901, 2337, 1970, 1606, 330, 2683, 6267, 1174, 1732, 519, 946, 543, 4483, 1464, 540, 4245, 19927, 883, 741, 3232, 1272, 563, 314, 10113, 2457, 2140, 284, 892, 6124, 7855, 685, 1983, 2877, 585, 14164, 6388, 538, 968, 8243, 691, 2069, 892, 968, 2639, 7712, 1656, 4048, 9233, 616, 9277, 547, 6707, 5432, 1047, 2523, 1970, 6709, 531, 1881, 5171, 543, 1346, 945, 616, 2069, 958, 11397, 609, 3059, 1565, 267, 519, 1101, 1900, 568, 547, 1020, 606, 4656, 593, 519, 851, 540, 519, 1656, 4048, 9233, 540, 875, 9867, 543, 4101, 519, 2042, 666, 581, 593, 519, 851, 540, 1970, 6709, 531, 1881, 543, 2069, 958, 11397, 5171, 563, 25802, 1419, 789, 616, 7231, 609, 1360, 11375, 558, 15119, 2516, 540, 5171, 281, 16310, 513, 3668, 540, 8404, 543, 4656, 585, 2104, 15129, 1565, 3157, 267, 18371, 1143, 267, 1114, 9194, 10080, 267, 1114, 3872, 10080, 267, 3668, 540, 1893, 6015, 267, 3872, 20340, 267, 25367, 2866, 267, 7508, 610, 13385, 20340, 543, 3318, 1995, 543, 519, 4611, 11393, 538, 519, 2816, 267, 593, 519, 11668, 2344, 543, 538, 2486, 616, 519, 7887, 2591, 269, 2311, 519, 1482, 942, 267, 713, 30846, 849, 3091, 519, 4316, 547, 6655, 547, 519, 5171, 519, 2956, 540, 25367, 1315, 2930, 20340, 610, 2866, 269, 4475, 267, 1656, 4048, 9233, 1058, 711, 1152, 1217, 741, 1970, 1606, 330, 2683, 6267, 827, 519, 2866, 543, 7127, 3255, 267, 855, 849, 1445, 593, 3478, 547, 917, 267, 1565, 543, 1210, 3059, 2645, 267, 519, 7269, 540, 519, 865, 10777, 23559, 1983, 267, 538, 1931, 547, 711, 1152, 2285, 519, 5171, 1732, 8458, 538, 2324, 1272, 543, 593, 519, 2816, 2344, 267, 855, 849, 547, 10018, 741, 4797, 7589, 538, 2486, 563, 11101, 267, 621, 568, 835, 540, 519, 1883, 4247, 540, 1656, 4048, 9233, 547, 3277, 547, 519, 2640, 540, 14164, 538, 4058, 543, 8888, 2866, 543, 1565, 6859, 267, 1020, 4771, 543, 735, 4979, 2866, 543, 1565, 9115, 543, 7598, 621, 543, 1022, 1246, 5346, 2238, 1519, 12570, 1702, 267, 1983, 267, 2841, 1878, 547, 519, 1007, 3450, 19178, 269, 1358, 786, 723, 547, 2015, 519, 14164, 14482, 9592, 547, 1544, 7886, 811, 538, 4434, 2094, 1034, 540, 741, 2198, 894, 2866, 267, 29013, 543, 270, 610, 18006, 8090, 786, 1689, 269, 4329, 267, 789, 723, 547, 581, 2111, 547, 946, 513, 1808, 2228, 3760, 2139, 543, 922, 2934, 6035, 630, 324, 3052, 269, 6267, 685, 2773, 543, 1808, 4879, 7399, 6035, 899, 17118, 267, 2228, 7317, 1582, 12431, 20156, 267, 610, 2792, 2533, 543, 5698, 2645, 899, 585, 320, 267, 6937, 267, 669, 1846, 610, 1357, 21577, 264, 543, 1489, 6267, 2687, 547, 741, 3059, 1983, 538, 1210, 621, 563, 1432, 713, 10522, 568, 602, 849, 7855, 786, 723, 547, 581, 3222, 540, 1007, 2115, 538, 2866, 543, 8754, 2841, 1878, 547, 909, 12921, 650, 269, 18786, 689, 8912, 4247, 606, 1656, 4048, 690, 814, 547, 1685, 547, 930, 4110, 693, 2547, 630, 3697, 4058, 513, 1576, 630, 22780, 264, 543, 8888, 2866, 543, 1565, 6859, 585, 621, 267, 1020, 4771, 543, 735, 4979, 2866, 543, 1565, 9115, 547, 7598, 873, 543, 1022, 1246, 5346, 2238, 1519, 12570, 1702, 267, 1983, 267, 2841, 1878, 1070, 789, 786, 723, 547, 2015, 519, 2029, 666, 2097, 538, 912, 268, 547, 1544, 7886, 811, 538, 4434, 2094, 1034, 540, 519, 2198, 894, 2866, 267, 29013, 543, 270, 610, 18006, 8090, 1522, 581, 29770, 331, 739, 892, 711, 2348, 1970, 1606, 330, 2683, 6267, 538, 13460, 15042, 610, 713, 1058, 581, 4988, 676, 2029, 2676, 268, 609, 2934, 6035, 630, 324, 3052, 269, 1970, 1606, 330, 2683, 6267, 685, 2773, 543, 1808, 4879, 7399, 6035, 899, 17118, 267, 2228, 7317, 1582, 12431, 20156, 267, 610, 2792, 2533, 543, 5698, 2645, 899, 585, 320, 267, 6937, 267, 669, 1846, 610, 1357, 21577, 264, 849, 5885, 6267, 2687, 547, 741, 3059, 1983, 538, 1210, 621, 2676, 268, 547, 1711, 630, 2908, 264, 2866, 270, 14048, 9115, 538, 1007, 3059, 12043, 630, 324, 3052, 269, 8301, 899, 27143, 267, 3872, 7044, 267, 14044, 18712, 9115, 267, 3059, 3978, 3756, 267, 2824, 543, 1217, 5690, 525, 2560, 264, 9862, 547, 519, 1367, 3457, 538, 946, 543, 547, 1174, 875, 891, 9115, 666, 581, 540, 4324, 547, 2866, 849, 1983, 799, 991, 1483, 3734, 2796, 610, 5468, 267, 8026, 873, 676, 18110, 873, 543, 22151, 873, 883, 1483, 1272, 610, 1018, 2866, 3898, 1058, 581, 1031, 9148, 800, 2676, 268, 547, 948, 1644, 547, 1239, 270, 8668, 3354, 3344, 630, 2254, 1152, 1644, 547, 835, 779, 1455, 2123, 1239, 4027, 855, 849, 1519, 5100, 3457, 689, 3544, 519, 1378, 8668, 1062, 543, 741, 2792, 547, 519, 4110, 2556, 585, 519, 6322, 946, 1916, 7197, 540, 519, 27069, 3277, 547, 1007, 3059, 1983, 267, 1505, 545, 270, 1705, 12519, 1644, 2841, 1878, 543, 2792, 1983, 799, 616, 2907, 609, 519, 1644, 2645, 543, 1949, 1373, 8045, 538, 1082, 2069, 1949, 267, 1519, 519, 2556, 6521, 2509, 3617, 2866, 4485, 630, 3697, 9263, 1565, 267, 4469, 5792, 15858, 267, 4305, 1759, 1565, 267, 1788, 1759, 1565, 3092, 12175, 1809, 267, 972, 616, 3226, 1007, 3344, 1644, 547, 519, 2792, 1063, 6191, 270, 6191, 547, 2043, 7855, 1058, 917, 1631, 267, 1932, 563, 587, 508, 291, 773, 8950, 342, 28970, 892, 5359, 2228, 827, 14164, 3354, 10616, 543, 602, 29770, 14276, 6206, 24486, 630, 303, 298, 296, 264, 666, 948, 676, 4180, 602, 1152, 2278, 2213, 1439, 9557, 602, 616, 29429, 593, 676, 519, 3593, 543, 723, 1044, 9286, 607, 11967, 676, 519, 8668, 8257, 666, 1921, 269, 20233, 1359, 538, 8416, 7457, 6513, 630, 2793, 290, 264, 538, 2490, 5849, 602, 519, 3457, 616, 5963, 11967, 543, 2743, 5934, 3354, 7355, 269, 10815, 11967, 14164, 3457, 616, 5302, 7757, 883, 519, 2953, 3060, 3034, 10702, 267, 10372, 3277, 547, 30834, 728, 519, 3060, 281, 20305, 3142, 1007, 3457, 5196, 519, 3060, 602, 4440, 1058, 711, 581, 4448, 547, 519, 2565, 5989, 5919, 6056, 29853, 1744, 12686, 281, 29853, 5935, 267, 2523, 585, 19035, 1239, 12535, 267, 666, 948, 11574, 519, 1764, 540, 3060, 6285, 543, 2087, 14479, 585, 5692, 2275, 15560, 2533, 5919, 1403, 3457, 3112, 581, 27358, 689, 513, 3844, 3760, 267, 596, 1058, 960, 609, 707, 5234, 1496, 663, 2875, 316, 1282, 14764, 269, 901, 5849, 602, 519, 2010, 540, 9949, 19383, 616, 16981, 630, 756, 12047, 1916, 7197, 540, 891, 3344, 519, 7855, 991, 547, 581, 3222, 540, 952, 711, 1256, 4194, 2933, 267, 855, 585, 930, 824, 513, 2178, 2792, 543, 5385, 609, 519, 9757, 8668, 1365, 517, 1043, 270, 8257, 786, 581, 2556, 563, 31636, 543, 1705, 12519, 3344, 950, 621, 2501, 547, 14164, 1543, 543, 5100, 3457, 1058, 711, 1152, 2015, 519, 3593, 267, 519, 15226, 543, 519, 1983, 270, 2841, 1878, 835, 4927, 1451, 1107, 519, 8912, 9270, 910, 267, 855, 609, 14164, 849, 991, 547, 2015, 811, 2055, 1644, 547, 1018, 5100, 3926, 6267, 786, 946, 14379, 547, 824, 5100, 3457, 2094, 519, 5989, 949, 2285, 7182, 547, 5496, 2450, 267, 3898, 2010, 267, 17103, 3092, 563, 11764, 3405, 2358, 891, 267, 1656, 4048, 9233, 1058, 912, 268, 917, 519, 3255, 543, 4220, 540, 14164, 2676, 268, 917, 875, 1565, 4483, 666, 581, 17956, 676, 14164, 2676, 268, 917, 2409, 547, 18663, 543, 4125, 6267, 1107, 2523, 1970, 11727, 7606, 1107, 543, 917, 875, 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 ]
[ 540, 17356, 1312, 269, 2353, 540, 1346, 3280, 9120, 585, 721, 282, 1018, 798, 596, 8263, 286, 0, 2171, 917, 602, 26900, 666, 581, 1360, 16160, 1317, 1813, 547, 519, 1973, 8052, 12758, 538, 519, 19548, 18916, 267, 1271, 2694, 540, 519, 2634, 1376, 547, 581, 10032, 538, 606, 26464, 1259, 1813, 547, 3668, 540, 5135, 543, 1973, 269, 769, 713, 1259, 267, 513, 6216, 20642, 3940, 3797, 814, 1044, 1500, 602, 666, 7494, 3500, 1524, 519, 2530, 540, 26900, 563, 6097, 547, 3744, 693, 519, 2160, 540, 14642, 5979, 267, 8482, 3441, 666, 581, 4389, 676, 29780, 1808, 5946, 1310, 26900, 269, 589, 1906, 3108, 1310, 519, 8983, 2968, 1612, 3315, 7458, 267, 519, 1101, 1449, 4951, 1360, 9621, 2164, 602, 1223, 3247, 713, 1966, 689, 3478, 8338, 269, 1717, 267, 519, 10278, 540, 1480, 8062, 568, 1869, 513, 1279, 1259, 1055, 563, 10527, 2942, 2634, 2242, 3361, 676, 26900, 1831, 513, 2068, 540, 519, 2898, 2085, 267, 1169, 8792, 540, 26900, 3587, 16160, 585, 519, 2634, 543, 519, 991, 585, 2790, 8825, 3800, 1310, 519, 4323, 814, 2141, 1044, 5433, 269, 769, 713, 3797, 267, 649, 723, 5059, 593, 513, 1973, 3940, 267, 2048, 15542, 528, 18599, 2920, 22899, 26287, 848, 685, 630, 12396, 4338, 1070, 892, 1767, 3220, 9995, 324, 788, 20855, 572, 267, 2212, 540, 519, 1353, 563, 5475, 26900, 267, 519, 2179, 540, 674, 3008, 303, 538, 519, 1973, 4679, 543, 621, 814, 849, 1044, 2938, 538, 8482, 2550, 269, 12207, 4941, 547, 917, 875, 535, 5684, 2504, 538, 8983, 1223, 581, 4299, 538, 2013, 540, 26900, 952, 789, 941, 4625, 11074, 16220, 610, 6382, 269, 1809, 538, 713, 2013, 267, 519, 4966, 685, 4879, 5828, 856, 547, 581, 4636, 543, 519, 2634, 540, 519, 14148, 729, 811, 8697, 563, 1103, 519, 1985, 3942, 267, 535, 338, 777, 729, 17332, 676, 1818, 519, 8983, 513, 3461, 540, 26900, 267, 922, 1434, 2360, 941, 2938, 269, 2334, 779, 1946, 3940, 3797, 814, 1044, 25282, 563, 25387, 267, 5160, 9842, 2381, 4094, 1437, 1807, 610, 570, 5183, 267, 513, 2126, 1310, 4049, 8482, 267, 568, 11342, 1472, 519, 1158, 267, 799, 5612, 4744, 11510, 519, 28163, 16290, 538, 519, 13285, 540, 519, 2634, 543, 11097, 839, 519, 15532, 269, 1809, 621, 568, 1271, 602, 519, 19692, 621, 568, 18764, 267, 621, 2640, 267, 855, 1869, 1152, 835, 21017, 540, 519, 1004, 4324, 689, 621, 563, 300, 823, 602, 941, 2016, 674, 306, 4338, 609, 512, 5183, 4951, 513, 1713, 6454, 3379, 547, 8983, 609, 512, 5183, 3797, 4805, 269, 1715, 3940, 3797, 5916, 609, 512, 5183, 568, 4397, 547, 2061, 2417, 2634, 3441, 1310, 8482, 269, 1717, 267, 811, 1382, 543, 8062, 616, 2877, 1354, 3425, 269, 0, 4415, 519, 2475, 8720, 16205, 657, 262, 1394, 1018, 609, 922, 4108, 13279, 1934, 267, 3624, 543, 10476, 2443, 519, 1079, 2101, 3409, 1218, 540, 8513, 538, 519, 3162, 3624, 7256, 2443, 1223, 711, 3247, 16205, 657, 262, 1847, 547, 24509, 513, 5458, 851, 540, 519, 14109, 520, 569, 10195, 563, 2467, 616, 23053, 602, 16205, 657, 9709, 547, 24509, 621, 607, 2038, 607, 519, 476, 3192, 271, 338, 267, 950, 646, 9783, 2278, 3074, 547, 513, 27208, 4149, 14954, 880, 267, 607, 1134, 607, 2475, 3408, 10909, 267, 547, 2263, 585, 3282, 543, 3154, 538, 519, 32149, 7813, 538, 519, 27040, 851, 540, 519, 14109, 520, 569, 338, 799, 267, 693, 602, 942, 267, 729, 3544, 938, 8513, 267, 607, 3989, 676, 519, 15521, 540, 8303, 269, 634, 2518, 14097, 585, 606, 12600, 2804, 7997, 630, 7417, 313, 1070, 10199, 476, 1220, 562, 27658, 5195, 689, 513, 2197, 781, 4262, 5032, 2443, 1131, 581, 9896, 543, 538, 1198, 1152, 538, 476, 2735, 273, 563, 300, 2117, 657, 267, 2705, 267, 15151, 2219, 602, 952, 646, 6410, 547, 24509, 519, 918, 5456, 538, 519, 476, 3192, 271, 338, 267, 519, 27565, 9549, 543, 5484, 793, 334, 13985, 3626, 12789, 269, 1131, 723, 26453, 582, 3042, 1010, 1847, 835, 1259, 610, 1776, 267, 2094, 713, 1131, 6318, 1010, 31449, 269, 901, 8197, 5949, 950, 13985, 3626, 8731, 6244, 334, 539, 1010, 9837, 547, 24509, 17939, 1695, 585, 322, 4601, 267, 676, 6427, 532, 31482, 540, 513, 834, 297, 629, 573, 1695, 7136, 21492, 2437, 799, 10332, 539, 519, 14570, 2103, 547, 1010, 4566, 269, 2060, 1010, 835, 17907, 4341, 10294, 538, 476, 3192, 273, 267, 972, 941, 1100, 9465, 547, 1010, 24509, 566, 540, 513, 5458, 851, 540, 519, 14109, 520, 569, 338, 269, 9453, 19831, 1876, 267, 649, 1131, 711, 723, 1185, 519, 918, 5456, 563, 1103, 1010, 31885, 267, 16205, 657, 10645, 891, 2127, 834, 4777, 711, 16155, 4866, 547, 1022, 1533, 610, 4182, 855, 267, 676, 2601, 540, 1686, 267, 16832, 991, 267, 543, 2500, 13567, 543, 1852, 267, 3964, 538, 13076, 609, 3486, 1876, 267, 971, 2127, 1590, 1631, 581, 16363, 547, 4866, 543, 1641, 547, 519, 16285, 540, 519, 13372, 1701, 1261, 10288, 519, 918, 5456, 547, 1831, 513, 29109, 540, 6022, 1177, 534, 6532, 269, 6243, 2920, 476, 1220, 280, 267, 610, 519, 865, 10777, 834, 15368, 3894, 4521, 2437, 556, 3530, 3305, 539, 16205, 657, 262, 1847, 267, 543, 10294, 602, 519, 13372, 834, 1410, 2075, 2478, 16285, 543, 16278, 257, 936, 519, 918, 5456, 267, 543, 4330, 621, 607, 513, 834, 2958, 830, 540, 10195, 2437, 5812, 609, 9137, 476, 13199, 540, 519, 2136, 8315, 13482, 593, 519, 4521, 540, 519, 7256, 630, 4462, 743, 657, 1916, 763, 2475, 543, 1082, 824, 6082, 267, 2705, 267, 723, 711, 13166, 6444, 519, 918, 5456, 607, 851, 540, 27000, 8513, 267, 2094, 3624, 267, 10476, 267, 15990, 543, 17111, 267, 538, 851, 267, 849, 3409, 621, 269, 3624, 543, 10476, 1185, 5293, 4031, 11008, 1227, 19101, 621, 607, 851, 540, 741, 11182, 267, 2895, 28396, 715, 5451, 985, 327, 5953, 1627, 14243, 526, 387, 492, 334, 585, 519, 5449, 543, 2372, 17554, 356, 333, 17487, 495, 17554, 352, 334, 2558, 386, 364, 12782, 507, 978, 15223, 585, 519, 8545, 269, 17111, 13026, 606, 6532, 543, 1896, 18625, 689, 476, 2735, 274, 547, 476, 1960, 280, 593, 519, 2666, 602, 891, 941, 1369, 922, 661, 292, 313, 563, 763, 2250, 14117, 12512, 267, 3257, 519, 2475, 536, 27570, 547, 27313, 1125, 3624, 998, 519, 32404, 9290, 267, 4503, 782, 2631, 540, 18541, 602, 789, 941, 865, 8348, 547, 2285, 909, 519, 918, 5456, 269, 1306, 513, 1267, 267, 835, 540, 519, 11737, 1537, 5513, 26915, 781, 5947, 902, 6811, 16205, 657, 262, 24509, 566, 540, 1018, 646, 1572, 519, 918, 5456, 568, 10363, 267, 543, 4061, 1058, 1100, 3476, 581, 6444, 563, 13640, 4588, 476, 6872, 275, 540, 519, 11737, 1537, 15194, 11329, 856, 602, 834, 1492, 13372, 1223, 711, 17551, 2895, 25100, 20723, 1666, 3894, 4478, 519, 14109, 520, 569, 11866, 1701, 898, 6045, 281, 834, 20684, 476, 5325, 540, 519, 13482, 1496, 4002, 519, 4521, 540, 519, 1530, 553, 267, 610, 1133, 743, 657, 264, 7182, 519, 946, 540, 2895, 25100, 20723, 1666, 3894, 547, 6381, 1141, 1412, 5976, 514, 971, 1666, 3894, 616, 3769, 519, 1292, 10195, 543, 606, 1858, 538, 799, 519, 5223, 540, 519, 1858, 540, 519, 1216, 547, 519, 1858, 540, 519, 2244, 267, 1519, 693, 565, 3149, 267, 568, 1063, 476, 272, 547, 476, 272, 543, 476, 280, 547, 476, 272, 1701, 1656, 5037, 476, 276, 4200, 281, 834, 763, 5223, 540, 1216, 547, 2244, 538, 519, 14109, 520, 569, 11866, 1131, 7494, 9765, 476, 280, 281, 272, 896, 1022, 10703, 22133, 1062, 540, 1666, 3894, 269, 11569, 267, 476, 7176, 2600, 540, 519, 14109, 520, 569, 338, 568, 1500, 909, 540, 1216, 563, 6097, 547, 519, 32404, 15194, 267, 513, 4182, 666, 1152, 3409, 16285, 936, 1367, 10195, 543, 18625, 267, 711, 519, 3003, 1858, 602, 3568, 1346, 10195, 543, 18625, 2443, 799, 519, 918, 5456, 568, 267, 607, 1134, 607, 1082, 2895, 25100, 31310, 538, 519, 7414, 563, 26668, 540, 519, 18625, 538, 519, 14109, 520, 569, 338, 13026, 676, 3624, 267, 855, 799, 649, 3409, 547, 1378, 267, 616, 711, 1369, 938, 661, 292, 313, 855, 616, 851, 540, 519, 918, 5456, 281, 674, 30711, 9061, 630, 298, 698, 1746, 534, 1070, 4427, 328, 630, 313, 600, 7702, 1070, 21025, 8696, 534, 267, 9652, 630, 300, 629, 7236, 264, 543, 19923, 6621, 517, 630, 9773, 1457, 517, 1040, 634, 5513, 26915, 15194, 1797, 602, 649, 1058, 3247, 19101, 713, 267, 607, 519, 918, 5456, 814, 1100, 3656, 4493, 563, 2005, 729, 2731, 911, 3218, 748, 585, 519, 13985, 3626, 12512, 2443, 998, 922, 1977, 17864, 2443, 547, 2307, 519, 11737, 1537, 8470, 547, 4341, 607, 10363, 922, 1378, 2197, 781, 8513, 267, 918, 5456, 269, 634, 5513, 26915, 8078, 539, 873, 563, 288, 638, 3626, 781, 17864, 561, 1221, 547, 519, 32404, 8470, 602, 519, 16205, 657, 31885, 1185, 1044, 4735, 4705, 269, 769, 519, 8470, 781, 6217, 593, 5147, 476, 278, 267, 476, 1001, 276, 267, 835, 540, 922, 2818, 267, 23052, 9528, 16423, 5300, 267, 11410, 749, 730, 835, 13985, 3626, 15818, 267, 10218, 324, 590, 1343, 267, 593, 2436, 646, 568, 3222, 540, 1018, 834, 15430, 7808, 5463, 872, 630, 11520, 264, 476, 14689, 277, 540, 519, 13372, 834, 1797, 538, 2474, 540, 519, 15539, 563, 306, 1343, 14452, 281, 834, 15152, 27000, 1876, 267, 607, 513, 14097, 1876, 2685, 9411, 883, 676, 519, 13372, 267, 1133, 743, 657, 568, 851, 540, 4835, 1876, 267, 543, 621, 814, 519, 1482, 4567, 607, 3084, 9086, 269, 1656, 602, 1797, 267, 547, 519, 6708, 602, 19113, 476, 4198, 277, 1522, 581, 22522, 609, 1133, 743, 657, 267, 19113, 476, 4198, 277, 568, 547, 581, 5701, 607, 2348, 1044, 3927, 4735, 4705, 676, 519, 13372, 262, 7766, 3731, 2305, 540, 1133, 743, 657, 267, 896, 519, 6240, 540, 1412, 1410, 17911, 328, 3541, 690, 520, 1991, 328, 10086, 799, 1797, 602, 513, 1412, 2908, 29417, 3217, 2476, 519, 1198, 540, 513, 1991, 835, 9538, 4840, 6546, 4661, 568, 30096, 16155, 543, 538, 2259, 281, 519, 2663, 29417, 1590, 2901, 2769, 569, 4735, 531, 267, 610, 581, 8915, 569, 1065, 1872, 333, 656, 267, 547, 519, 4505, 269, 634, 2197, 781, 1569, 542, 547, 519, 1133, 743, 657, 14097, 1705, 711, 2769, 569, 4735, 531, 19113, 476, 14689, 277, 269, 634, 476, 1220, 280, 5178, 3894, 4521, 1572, 519, 918, 5456, 513, 834, 2958, 830, 540, 10195, 2437, 543, 1705, 711, 4735, 531, 19113, 476, 14689, 277, 602, 1305, 621, 909, 563, 1103, 1249, 267, 519, 10966, 7040, 538, 513, 3967, 269, 476, 2641, 267, 476, 1708, 271, 3375, 630, 16165, 476, 10204, 279, 6924, 278, 267, 6022, 1177, 534, 642, 269, 6243, 540, 519, 13372, 264, 593, 519, 2013, 1705, 711, 7682, 602, 519, 19113, 476, 14689, 277, 814, 1044, 4735, 4705, 267, 543, 1045, 12097, 621, 607, 835, 540, 519, 4031, 10747, 6022, 1177, 534, 11662, 781, 8513, 267, 799, 2882, 519, 29109, 540, 17833, 11535, 534, 563, 289, 13696, 1058, 711, 6336, 8289, 540, 519, 1483, 2601, 585, 519, 32404, 9290, 269, 898, 729, 513, 10325, 676, 519, 2475, 547, 27313, 1125, 3624, 676, 9446, 532, 855, 711, 2731, 18445, 602, 922, 6811, 538, 519, 3162, 3624, 7256, 616, 1510, 4493, 267, 547, 3196, 621, 547, 1847, 11207, 856, 540, 602, 4262, 267, 865, 602, 972, 1131, 1152, 581, 835, 30566, 2443, 519, 2475, 2443, 538, 14913, 5607, 269, 634, 2475, 849, 4941, 519, 918, 5456, 10294, 10363, 543, 519, 10195, 543, 18625, 972, 13026, 676, 3624, 543, 10476, 607, 711, 13886, 547, 661, 292, 313, 338, 865, 602, 519, 1858, 1131, 581, 967, 529, 1584, 2406, 3486, 7297, 267, 543, 4061, 922, 10617, 4721, 267, 1256, 1346, 6046, 268, 28534, 267, 4465, 1405, 991, 891, 6082, 262, 10479, 547, 1780, 998, 563, 763, 32404, 9290, 729, 5497, 547, 4228, 519, 2475, 262, 5191, 540, 12445, 1858, 585, 922, 10617, 4721, 262, 29862, 338, 538, 519, 3162, 3624, 267, 865, 621, 1223, 3136, 547, 1788, 922, 1379, 543, 2270, 519, 6932, 2706, 12741, 538, 519, 3148, 267, 3624, 269, 13985, 3626, 543, 1010, 14579, 23122, 15751, 1642, 14472, 9222, 267, 945, 22002, 519, 9290, 941, 3274, 519, 4892, 262, 588, 334, 690, 525, 563, 21132, 1942, 1131, 581, 547, 12235, 547, 519, 7452, 16535, 519, 12050, 2962, 540, 645, 13696, 781, 4651, 538, 476, 3192, 279, 267, 543, 1131, 6336, 721 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12005, 281, 17214, 548, 2106, 21780, 334, 5633, 631, 267, 5695, 514, 267, 7977, 454, 309, 619, 542, 281, 476, 1015, 5147, 476, 1708, 271, 454, 18800, 4567, 281, 32719, 550, 29530, 19405, 454, 11514, 25068, 281, 1403, 596, 1265, 5013, 799, 666, 581, 15568, 610, 799, 1131, 14969, 519, 2013, 2417, 267, 5225, 1577, 803, 917, 269, 1703, 568, 2141, 4055, 547, 798, 1732, 543, 1451, 563, 30475, 281, 7256, 15634, 282, 6052, 282, 5253, 282, 16195, 282, 6925, 282, 4826, 282, 15310, 1399, 3600, 1749, 282, 681, 4078, 560, 26559, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31319, 1670, 32018, 540, 26425, 338, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 1530, 553, 17850, 338, 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, 6092, 5149, 281, 8835, 14175, 10809, 781, 7087, 24447, 692, 7072, 912, 5970, 596, 2479, 16545, 2713, 2620, 1369, 513, 18932, 3039, 4104, 4904, 609, 16678, 2831, 543, 2371, 286, 1280, 1082, 6805, 11031, 2066, 519, 1158, 267, 713, 3884, 1405, 1175, 9345, 282, 621, 781, 741, 1753, 256, 2290, 971, 6909, 1747, 568, 519, 8835, 14175, 10809, 1107, 519, 4102, 9341, 22986, 11451, 267, 17364, 8370, 2477, 538, 6239, 543, 3162, 3013, 269, 1717, 267, 1272, 585, 922, 11317, 267, 2523, 6805, 9082, 899, 519, 21220, 5451, 267, 8188, 1713, 2591, 1813, 547, 17717, 543, 2916, 1689, 269, 2913, 721, 7832, 593, 606, 7045, 883, 519, 2295, 540, 519, 8835, 1247, 1565, 827, 1346, 945, 1289, 621, 1753, 543, 1018, 649, 666, 798, 547, 948, 2149, 873, 543, 741, 2244, 780, 6637, 476, 272, 281, 24531, 519, 8835, 14175, 10809, 543, 4706, 4658, 454, 763, 8835, 14175, 10809, 6227, 1472, 476, 6858, 260, 540, 18475, 267, 476, 2568, 260, 540, 21896, 267, 543, 5111, 3368, 540, 8478, 267, 14178, 883, 4130, 13980, 540, 27816, 267, 28130, 267, 30643, 267, 24053, 3570, 267, 5080, 514, 877, 267, 543, 3943, 2871, 10005, 269, 1855, 25977, 609, 3309, 7320, 543, 10664, 267, 519, 8835, 3771, 26092, 811, 982, 476, 6110, 5479, 1367, 4054, 10362, 547, 5176, 476, 1626, 267, 1822, 2249, 256, 901, 10053, 7226, 2488, 12062, 547, 9118, 7068, 1765, 16341, 2943, 7164, 547, 2257, 269, 7324, 519, 6634, 540, 7264, 538, 713, 5318, 3148, 2661, 3875, 6805, 2516, 267, 1142, 609, 2189, 5389, 267, 4654, 267, 543, 4296, 547, 519, 2244, 789, 9468, 780, 3080, 540, 891, 7415, 11031, 568, 519, 21220, 5451, 1004, 269, 10705, 1572, 834, 1492, 1158, 781, 1034, 12219, 14316, 2437, 7864, 982, 476, 4335, 21220, 27222, 2611, 538, 8478, 2221, 267, 5097, 23493, 538, 6870, 14425, 2813, 676, 674, 308, 2793, 296, 630, 13233, 4095, 7690, 1040, 10251, 267, 1256, 891, 11280, 2127, 3068, 6937, 689, 10363, 19883, 267, 5599, 267, 543, 8105, 2238, 602, 1958, 25209, 2390, 741, 11182, 780, 6637, 476, 273, 281, 8693, 11059, 543, 7087, 7126, 454, 2026, 3047, 781, 2837, 14380, 1813, 547, 2916, 1689, 267, 865, 1932, 1281, 519, 2604, 593, 9249, 899, 519, 8835, 14175, 10809, 269, 667, 4078, 23667, 12615, 919, 2518, 8337, 2094, 7733, 10110, 3327, 8166, 267, 835, 540, 519, 3119, 20334, 547, 8375, 5210, 269, 1879, 4054, 616, 2759, 1524, 267, 1312, 6740, 3327, 8166, 543, 10475, 9265, 616, 4503, 267, 1818, 556, 16396, 3646, 1898, 780, 29378, 9082, 1404, 513, 2629, 1909, 538, 8497, 519, 1604, 1317, 789, 1419, 7048, 8185, 593, 2199, 2200, 543, 2226, 4264, 2853, 5293, 998, 5481, 269, 27986, 741, 2924, 5849, 602, 2565, 8134, 3136, 1373, 25374, 585, 20617, 269, 1635, 14957, 585, 6805, 16285, 543, 5885, 2146, 21445, 5726, 3785, 267, 649, 3565, 9797, 547, 19086, 2916, 1689, 5222, 780, 6637, 476, 274, 281, 14171, 11059, 910, 25085, 532, 8892, 9198, 725, 454, 2791, 1522, 4898, 875, 2576, 707, 2085, 1223, 4217, 519, 21220, 5451, 1004, 543, 1866, 6849, 2147, 9620, 269, 3509, 2081, 2291, 585, 6107, 547, 1205, 3238, 543, 1711, 6209, 1764, 2439, 265, 14780, 1047, 4656, 1851, 2828, 267, 1920, 2818, 267, 543, 9905, 827, 519, 2956, 540, 7863, 6805, 3338, 543, 4529, 269, 19457, 2984, 998, 1514, 2923, 5867, 267, 12180, 5717, 693, 3506, 267, 610, 2870, 1148, 6273, 676, 891, 2152, 2337, 3262, 4105, 1344, 563, 265, 12160, 622, 538, 3529, 9544, 2621, 18799, 676, 3906, 6131, 547, 2825, 11808, 269, 5272, 1007, 3529, 12523, 2509, 10941, 532, 519, 2360, 540, 17717, 543, 28530, 2916, 1689, 563, 265, 5213, 622, 547, 18758, 3906, 2324, 5702, 609, 6805, 2950, 547, 16102, 741, 2924, 543, 3895, 3743, 4199, 2359, 269, 3194, 25656, 547, 2327, 6074, 3906, 723, 12001, 4238, 543, 2318, 3950, 5638, 780, 6962, 912, 3528, 1620, 519, 1950, 2078, 1063, 2916, 1689, 543, 6805, 5095, 899, 519, 21220, 5451, 1004, 267, 1647, 1153, 1053, 1831, 23518, 8069, 540, 1689, 269, 3414, 9870, 4656, 267, 2921, 1463, 3527, 267, 543, 7700, 20019, 267, 649, 666, 948, 8190, 9048, 2897, 762, 8134, 31523, 609, 3638, 9265, 543, 5150, 17321, 20304, 585, 938, 4541, 543, 8103, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20458, 2962, 568, 519, 3210, 547, 519, 2916, 6433, 563, 268, 3117, 30872, 547, 581, 519, 1158, 781, 1034, 12219, 14316, 267, 519, 21220, 5451, 1004, 689, 8478, 616, 538, 18205, 8594, 609, 519, 9552, 540, 519, 8835, 22986, 563, 1692, 6496, 8693, 7827, 18748, 5274, 2657, 286, 12207, 1284, 662, 769, 20458, 1689, 814, 2907, 13175, 547, 3441, 8134, 782, 936, 519, 1158, 267, 855, 875, 786, 621, 5555, 1860, 1480, 1072, 888, 10673, 622, 547, 1452, 7489, 1977, 4077, 885, 547, 8081, 18877, 13780, 4204, 17004, 707, 1489, 1318, 1631, 585, 7489, 1977, 2950, 538, 1769, 540, 519, 2487, 24611, 267, 12821, 269, 15246, 267, 543, 24946, 547, 891, 7489, 1977, 1347, 885, 563, 1015, 8479, 8693, 2920, 643, 1235, 21744, 519, 2622, 267, 538, 27254, 540, 4139, 6468, 781, 4303, 1103, 8956, 540, 4139, 6468, 779, 4303, 476, 1708, 272, 267, 1934, 616, 476, 1015, 1762, 2021, 2916, 15628, 945, 616, 17216, 4657, 519, 1158, 563, 20578, 619, 15196, 20799, 1540, 1452, 834, 306, 20980, 257, 22960, 4858, 2738, 2991, 19154, 300, 20280, 1023, 2443, 1215, 5620, 634, 14992, 7427, 539, 5455, 286, 30706, 331, 2033, 267, 26746, 267, 543, 824, 834, 338, 20980, 257, 12478, 941, 896, 535, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8649, 7571, 14175, 10809, 781, 7087, 24447, 257, 607, 851, 540, 834, 16300, 13493, 1315, 3778, 1315, 6239, 1299, 3162, 3013, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 1762, 543, 16529, 22459, 3957, 5981, 269, 1358, 1185, 2141, 1044, 13730, 827, 2870, 2575, 267, 855, 789, 941, 4712, 547, 2263, 1007, 20030, 543, 2594, 538, 513, 1114, 9135, 982, 1018, 789, 941, 1031, 547, 269, 19196, 1243, 2943, 8401, 267, 5981, 5828, 547, 741, 3659, 16092, 267, 606, 4810, 2575, 16073, 267, 585, 5796, 593, 875, 547, 5965, 585, 519, 14232, 10916, 8400, 780, 297, 600, 773, 20493, 27145, 543, 1767, 267, 834, 11039, 267, 1101, 1919, 1101, 1107, 596, 991, 547, 2731, 23365, 3054, 538, 519, 9135, 269, 19415, 547, 621, 267, 1451, 922, 1686, 267, 543, 1205, 513, 1745, 585, 922, 2189, 4162, 3010, 20694, 21330, 23362, 267, 2921, 856, 741, 6049, 547, 1711, 1404, 29812, 4904, 609, 8964, 689, 519, 6074, 9135, 269, 3683, 519, 1985, 1906, 2395, 267, 789, 6170, 3108, 6947, 32348, 267, 7421, 1169, 1469, 540, 1142, 3950, 269, 901, 5280, 873, 2744, 513, 1732, 1620, 540, 519, 9135, 781, 9997, 995, 23964, 543, 6946, 18819, 780, 2026, 6700, 676, 16092, 267, 5981, 849, 1642, 1386, 883, 2835, 543, 4930, 7234, 519, 4720, 543, 1883, 3334, 540, 519, 9135, 269, 1306, 789, 6594, 267, 789, 4362, 1585, 3344, 899, 23349, 16147, 3356, 687, 267, 22192, 13047, 6163, 267, 543, 8966, 6293, 10659, 269, 1452, 4030, 17275, 6667, 1369, 5981, 267, 3850, 873, 547, 6451, 891, 2609, 883, 741, 1378, 15885, 780, 9202, 267, 5981, 13736, 24091, 269, 1280, 4374, 267, 789, 5249, 29367, 593, 13215, 519, 1007, 1983, 2838, 547, 14133, 538, 713, 4195, 9135, 269, 2871, 10560, 6132, 802, 2095, 539, 24672, 1247, 741, 5639, 9862, 547, 519, 5551, 3159, 543, 6765, 269, 6736, 17573, 17140, 267, 5981, 829, 572, 30099, 267, 5462, 547, 798, 5126, 547, 519, 1148, 1106, 789, 25343, 865, 1454, 780, 3080, 1554, 267, 1282, 513, 2736, 1063, 31667, 1023, 267, 5981, 7691, 602, 13830, 519, 9759, 540, 519, 9135, 1522, 2154, 811, 6791, 982, 789, 4867, 22234, 269, 5589, 16226, 16092, 781, 4505, 19583, 267, 789, 4956, 547, 3914, 856, 547, 513, 19023, 16073, 1634, 585, 1200, 960, 538, 519, 1482, 9135, 269, 2991, 1896, 5717, 936, 6995, 267, 5981, 5433, 8746, 1303, 6412, 532, 741, 1788, 547, 519, 9952, 3946, 540, 15609, 267, 519, 22644, 539, 16073, 780, 4415, 21339, 25093, 267, 782, 602, 7283, 729, 11018, 519, 1697, 2645, 1898, 585, 973, 11661, 519, 10058, 4992, 7870, 7915, 538, 519, 9135, 269, 7201, 15609, 781, 5583, 267, 5981, 16539, 538, 1164, 7779, 2890, 10746, 267, 7405, 267, 543, 3301, 11690, 1231, 2556, 547, 3035, 519, 5551, 2164, 269, 769, 1100, 942, 267, 519, 5918, 334, 9927, 5981, 781, 16434, 1753, 18638, 883, 513, 3860, 10093, 3514, 585, 13167, 9589, 1623, 874, 23888, 780, 7661, 267, 1310, 9118, 3735, 17334, 17975, 741, 2773, 543, 5386, 2389, 12941, 519, 30012, 267, 519, 2462, 1554, 8452, 269, 32471, 748, 10761, 18388, 539, 998, 519, 2011, 607, 5981, 22283, 909, 547, 519, 8020, 267, 5423, 547, 13236, 1272, 883, 741, 13144, 269, 2060, 15609, 3056, 519, 1259, 267, 789, 4044, 730, 998, 2591, 543, 17947, 10372, 267, 5935, 1142, 4063, 2394, 3388, 6949, 730, 9985, 780, 2691, 519, 3803, 3758, 21235, 6707, 267, 15202, 519, 1439, 540, 519, 10916, 8400, 267, 8323, 18233, 936, 5981, 269, 4256, 3460, 3695, 513, 1007, 9135, 22821, 1405, 1175, 8507, 538, 4190, 2575, 282, 621, 6026, 873, 3407, 4245, 827, 11428, 267, 5698, 267, 543, 21548, 269, 3414, 741, 20089, 267, 789, 4121, 602, 3006, 19480, 3544, 835, 781, 4313, 7997, 666, 1291, 547, 9058, 2833, 543, 2208, 3564, 9345, 780, 4913, 267, 1776, 1367, 25054, 593, 713, 2619, 4769, 1405, 24214, 3833, 607, 1134, 269, 3220, 1508, 9003, 676, 24178, 543, 818, 5766, 766, 267, 7665, 15189, 1022, 5007, 948, 610, 3403, 2429, 741, 10916, 7886, 269, 5617, 773, 1324, 2933, 2907, 21295, 538, 519, 1007, 9135, 267, 789, 16053, 8797, 8480, 6035, 676, 2828, 543, 9905, 7567, 269, 11086, 267, 741, 13475, 26218, 3178, 543, 13597, 1813, 547, 513, 21603, 1620, 540, 519, 9135, 781, 3638, 6561, 269, 5502, 540, 14120, 2208, 543, 1565, 3255, 267, 7665, 5185, 15280, 29359, 267, 512, 7568, 5109, 3347, 2059, 519, 1259, 780, 1103, 4334, 267, 5981, 22993, 22371, 267, 7279, 267, 543, 8990, 1765, 10177, 1080, 799, 3366, 873, 547, 3132, 22539, 2575, 543, 6536, 6209, 4296, 269, 1635, 20170, 547, 4396, 5796, 543, 3024, 532, 7104, 7326, 267, 789, 7604, 1078, 519, 1379, 540, 6568, 267, 5683, 2932, 267, 543, 2500, 1966, 9010, 269, 1656, 1034, 11932, 267, 789, 9863, 602, 5887, 1005, 883, 17946, 14975, 11182, 1223, 6556, 27314, 12587, 950, 14059, 609, 9758, 27527, 543, 2463, 269, 0, 2237, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 21415, 13297, 568, 513, 4049, 3354, 13438, 602, 4386, 950, 606, 30429, 6354, 12885, 3593, 11378, 547, 14892, 796, 10461, 2213, 14069, 14511, 1996, 513, 6538, 563, 294, 603, 889, 3115, 334, 281, 4179, 2517, 326, 603, 889, 2593, 4882, 336, 27476, 1952, 549, 915, 4882, 27942, 14090, 454, 9743, 718, 566, 4971, 10778, 326, 527, 804, 821, 4534, 323, 3704, 476, 272, 4179, 2517, 326, 603, 889, 2593, 4882, 336, 27476, 1952, 549, 915, 4882, 27942, 14090, 3052, 527, 13483, 331, 14090, 11546, 341, 454, 21093, 29035, 609, 14069, 31778, 454, 21415, 31778, 3091, 1585, 6724, 543, 3681, 547, 21160, 707, 4152, 1935, 269, 2913, 779, 4685, 883, 930, 540, 519, 1898, 12981, 543, 2553, 563, 9827, 3367, 2433, 476, 277, 5131, 15536, 8232, 20043, 2060, 22912, 919, 454, 290, 3863, 1782, 519, 19534, 454, 6930, 499, 371, 20804, 595, 3863, 1782, 568, 519, 1184, 540, 21986, 532, 513, 3896, 547, 2445, 1344, 269, 14069, 31778, 2636, 596, 547, 31770, 513, 3896, 609, 1114, 17909, 563, 2414, 31770, 513, 3135, 609, 513, 3178, 540, 476, 273, 649, 1689, 891, 476, 274, 543, 476, 275, 607, 938, 10421, 2433, 338, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 1107, 322, 3863, 331, 476, 273, 454, 1805, 3195, 23164, 609, 645, 2255, 25042, 454, 414, 493, 365, 20804, 645, 2255, 7154, 666, 4688, 596, 942, 676, 3678, 908, 6114, 4732, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 1107, 322, 3863, 331, 476, 273, 1107, 321, 2255, 454, 11372, 603, 15105, 585, 21252, 454, 6930, 504, 478, 30205, 707, 4398, 676, 1210, 2789, 16060, 269, 4635, 713, 4971, 649, 1852, 519, 8142, 519, 8142, 779, 1297, 5673, 593, 938, 4950, 3432, 17765, 543, 29453, 3432, 543, 7746, 3210, 563, 29490, 1376, 609, 476, 272, 8142, 543, 7930, 2333, 519, 1297, 269, 18554, 585, 6959, 610, 26301, 563, 8794, 909, 547, 476, 1015, 16060, 568, 3622, 15502, 585, 1507, 547, 5420, 4609, 269, 1809, 979, 2362, 609, 13657, 563, 2690, 1164, 3491, 12803, 4609, 267, 1360, 1804, 12240, 267, 610, 2565, 5989, 267, 6529, 547, 8766, 16060, 899, 476, 272, 1700, 274, 454, 8794, 1932, 1082, 16060, 630, 2004, 266, 264, 666, 8267, 332, 519, 3077, 543, 1205, 707, 7379, 17808, 610, 9206, 3022, 607, 513, 1684, 306, 4323, 454, 338, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 1107, 322, 3863, 331, 476, 273, 1107, 321, 2255, 1107, 628, 1348, 338, 2999, 11133, 318, 628, 1348, 338, 11417, 31572, 11485, 20946, 454, 6930, 490, 494, 17797, 1981, 2157, 547, 1852, 519, 946, 540, 5739, 31139, 338, 563, 32391, 1377, 476, 272, 568, 1434, 585, 3355, 4152, 267, 11485, 476, 273, 1700, 274, 568, 26815, 10728, 267, 543, 8307, 946, 1377, 476, 275, 1700, 276, 1981, 31139, 338, 1996, 2199, 1449, 1949, 269, 1280, 2565, 5989, 267, 6529, 547, 1981, 476, 272, 610, 476, 273, 1282, 10526, 543, 1403, 1210, 1981, 476, 274, 1700, 276, 267, 6895, 5702, 585, 3498, 610, 7746, 6959, 267, 13793, 338, 267, 26301, 267, 3092, 454, 338, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 1107, 322, 3863, 331, 476, 273, 1107, 321, 2255, 1107, 14490, 476, 272, 454, 15675, 532, 14069, 769, 20287, 9828, 454, 6930, 498, 491, 14069, 31778, 7028, 1585, 2553, 267, 971, 607, 519, 9769, 4480, 269, 901, 4971, 568, 1031, 585, 519, 9769, 4480, 4732, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 1107, 322, 3863, 331, 476, 273, 1107, 23855, 1664, 284, 892, 308, 7536, 309, 8538, 846, 25042, 585, 26346, 19243, 454, 6930, 497, 507, 769, 8231, 846, 7154, 267, 14069, 31778, 2488, 2143, 3977, 267, 1519, 31139, 543, 10226, 307, 4916, 7662, 5470, 6835, 4732, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 1107, 322, 3863, 331, 476, 273, 1107, 321, 2255, 910, 341, 454, 14303, 4471, 1324, 18482, 6176, 454, 6930, 497, 488, 28150, 4030, 883, 519, 6538, 267, 1519, 6538, 2012, 267, 27024, 267, 543, 3984, 4067, 4732, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 1107, 322, 3863, 331, 476, 273, 1107, 9690, 268, 12528, 1107, 9690, 1673, 321, 1107, 10676, 4067, 454, 18698, 18482, 23113, 454, 6930, 501, 481, 20804, 5548, 557, 883, 519, 6538, 2497, 547, 3605, 7515, 454, 8266, 532, 12240, 281, 338, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 1107, 322, 3863, 331, 476, 273, 1107, 323, 2125, 454, 18698, 7515, 538, 513, 1808, 6538, 281, 338, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 1107, 322, 3863, 331, 476, 273, 910, 291, 2999, 323, 520, 15390, 12173, 285, 1107, 339, 1963, 454, 6930, 497, 480, 4825, 4471, 557, 1239, 689, 1808, 7515, 1210, 519, 29746, 4971, 6987, 24219, 1239, 689, 513, 3349, 4732, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 1107, 322, 3863, 331, 476, 273, 910, 307, 2999, 14456, 12173, 285, 1107, 323, 2794, 454, 8698, 532, 7305, 2051, 8435, 454, 6930, 497, 488, 10576, 9587, 1369, 513, 3349, 4732, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 1107, 322, 3863, 331, 476, 273, 910, 307, 2999, 14456, 12173, 285, 1107, 3712, 8435, 454, 291, 18804, 2353, 4578, 454, 6930, 497, 355, 4635, 519, 29746, 782, 4971, 649, 666, 29746, 782, 1239, 689, 513, 3349, 4732, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 1107, 322, 3863, 331, 476, 273, 910, 307, 2999, 14456, 12173, 285, 1107, 323, 2794, 22433, 454, 20578, 19243, 30615, 454, 6930, 497, 479, 4635, 519, 3977, 546, 597, 4971, 649, 666, 4688, 519, 3977, 538, 9138, 15682, 1239, 547, 513, 1808, 15682, 4732, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 1107, 322, 3863, 331, 476, 273, 1107, 16059, 1673, 597, 284, 892, 283, 29715, 800, 24786, 285, 892, 1107, 321, 2255, 454, 9827, 3367, 2433, 10469, 558, 305, 2969, 642, 277, 269, 271, 15434, 22486, 1923, 17676, 8281, 1923, 476, 1708, 274, 454, 3849, 9330, 14069, 31778, 16710, 10778, 10048, 760, 6819, 10361, 619, 543, 14871, 3397, 757, 454, 6930, 505, 350, 20804, 11426, 1125, 2212, 619, 543, 3593, 8069, 585, 13668, 563, 268, 17006, 2688, 2212, 619, 912, 338, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 4534, 322, 3863, 331, 476, 273, 4534, 3650, 619, 6889, 283, 322, 2396, 318, 3650, 619, 285, 4840, 268, 3525, 4328, 3593, 8069, 912, 338, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 4534, 322, 3863, 331, 476, 273, 4534, 12528, 268, 26047, 6889, 283, 12528, 318, 26047, 285, 4840, 268, 4635, 513, 5985, 607, 513, 3593, 268, 26047, 912, 338, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 4534, 322, 3863, 331, 476, 273, 4534, 332, 9394, 454, 8794, 513, 5985, 607, 3593, 989, 6339, 610, 1483, 11422, 3593, 8665, 899, 24904, 610, 32288, 2135, 2306, 519, 13668, 1413, 811, 16048, 543, 1447, 19035, 563, 6624, 3595, 31486, 3625, 13668, 689, 1455, 14069, 24961, 3593, 8069, 269, 17553, 513, 2688, 3593, 8665, 666, 21271, 9605, 13665, 563, 6930, 498, 496, 4635, 519, 23984, 704, 4781, 649, 666, 21271, 1635, 10139, 3595, 31486, 547, 2327, 3811, 4152, 269, 634, 23984, 704, 4781, 1958, 3941, 519, 31139, 1210, 513, 1114, 17683, 4480, 563, 268, 4635, 713, 23984, 704, 4971, 649, 666, 1294, 782, 17683, 2409, 912, 268, 899, 538, 713, 4971, 649, 946, 519, 3490, 5038, 16780, 18344, 7402, 5317, 31139, 338, 547, 21271, 3595, 31486, 912, 338, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 4534, 322, 3863, 331, 476, 273, 4534, 339, 600, 704, 284, 19668, 5038, 16780, 18344, 454, 23354, 22661, 22077, 790, 31486, 17527, 1759, 593, 31139, 17161, 912, 8196, 6085, 512, 2086, 619, 899, 2443, 6085, 284, 301, 547, 7519, 20438, 17527, 3652, 563, 3725, 2897, 5624, 609, 8292, 3842, 2230, 273, 332, 903, 336, 671, 1662, 610, 29601, 3842, 9184, 604, 903, 335, 2167, 563, 8196, 4528, 539, 3467, 4486, 6919, 23984, 704, 547, 1039, 4528, 12673, 547, 17161, 899, 10323, 22268, 270, 256, 1822, 876, 591, 284, 13045, 23354, 22661, 22077, 790, 31486, 17527, 1808, 3197, 912, 5319, 13892, 3197, 899, 669, 13873, 13892, 267, 1347, 684, 545, 1712, 523, 13892, 610, 3490, 5038, 523, 13892, 563, 8196, 19758, 31988, 638, 1774, 610, 19980, 1886, 1335, 2532, 547, 14229, 752, 10530, 270, 777, 739, 1886, 1127, 2250, 12086, 563, 3725, 2897, 815, 609, 22244, 17395, 3842, 11224, 2414, 12024, 23984, 704, 547, 21271, 815, 17527, 3652, 563, 28324, 2903, 2450, 7182, 912, 8196, 1063, 23984, 704, 547, 8237, 31139, 338, 883, 4351, 25098, 563, 24965, 576, 538, 1467, 6085, 2450, 609, 6085, 2987, 1467, 23984, 704, 563, 3725, 2897, 5624, 609, 1507, 8292, 899, 1315, 1262, 270, 3842, 2230, 273, 1260, 618, 563, 27778, 1393, 10414, 8298, 514, 9664, 454, 6930, 498, 494, 1677, 1449, 585, 14069, 13297, 538, 21189, 3817, 267, 1246, 891, 3268, 912, 2080, 616, 519, 6093, 3268, 547, 1490, 1393, 3196, 513, 21189, 2985, 1210, 14069, 24961, 912, 10048, 1302, 5659, 519, 2985, 547, 3313, 519, 1883, 6724, 912, 268, 10576, 519, 27024, 543, 10957, 4610, 543, 4063, 741, 14103, 2012, 10305, 563, 268, 4855, 519, 1106, 10505, 7735, 543, 1205, 922, 2012, 14487, 563, 268, 6744, 519, 1106, 779, 2962, 14487, 547, 1294, 1141, 621, 22347, 1080, 547, 563, 338, 27942, 14090, 910, 340, 968, 10674, 2517, 9987, 2593, 270, 8421, 514, 21703, 892, 1107, 13257, 1107, 322, 3863, 331, 284, 273, 1107, 321, 2255, 1107, 628, 1348, 338, 284, 276, 454, 1700, 24038, 284, 276, 1107, 14490, 284, 274, 910, 341, 476, 274, 454, 4131, 779, 2736, 713, 1524, 912, 268, 634, 910, 340, 23403, 519, 3077, 15745, 454, 268, 2443, 3029, 6087, 1490, 1393, 16550, 540, 1106, 4610, 454, 268, 2443, 31770, 284, 273, 5036, 519, 31770, 3178, 547, 476, 273, 3817, 454, 268, 2443, 16801, 6087, 16801, 7154, 585, 12747, 4152, 454, 268, 2443, 16060, 284, 276, 5036, 476, 276, 21276, 16060, 547, 3432, 909, 4152, 454, 268, 910, 335, 968, 639, 20713, 284, 261, 10139, 5320, 284, 261, 11357, 2466, 284, 8138, 2466, 892, 5036, 519, 18161, 4306, 1560, 609, 3552, 11568, 585, 1490, 1393, 16550, 454, 268, 2443, 1377, 284, 276, 5036, 1377, 540, 476, 276, 585, 10728, 4152, 454, 268, 2443, 1981, 284, 274, 5036, 1981, 547, 476, 274, 585, 811, 5906, 31139, 338, 454, 268, 910, 341, 476, 274, 5036, 519, 8231, 846, 1377, 547, 476, 274, 585, 811, 2143, 3977, 454, 6930, 498, 491, 14069, 31778, 3091, 4359, 3681, 585, 4274, 3755, 912, 268, 11554, 609, 12897, 912, 338, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 4534, 322, 3863, 331, 476, 273, 4534, 322, 809, 625, 6889, 283, 322, 809, 773, 12774, 285, 4840, 268, 29140, 2359, 912, 338, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 4534, 322, 3863, 331, 476, 273, 4534, 4148, 2313, 1606, 11970, 454, 268, 1133, 16225, 532, 6456, 8292, 912, 338, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 4534, 322, 3863, 331, 476, 273, 4534, 1260, 618, 454, 268, 7457, 532, 519, 4971, 7387, 912, 338, 27942, 14090, 910, 340, 2999, 19986, 9078, 1074, 285, 4534, 322, 3863, 331, 476, 273, 4534, 657, 1606, 17850, 454, 21415, 13297, 4152, 609, 14069, 31778, 568, 513, 3532, 1259, 547, 5150, 707, 1357, 3156, 269, 5457, 547, 946, 713, 1907, 19100, 543, 1152, 593, 1949, 596, 723, 10479, 547, 1449, 269, 13773, 2922, 267, 543, 6126, 28892, 256, 9462, 505, 350, 20804, 6930, 496, 375, 454, 258, 21415, 1948, 295, 22326, 1948, 24426, 828, 9798, 1948, 16158, 20376, 12053, 1948, 21415, 1103, 20287, 1948, 21415, 31778, 0, 14240, 540, 7982, 14752, 3038, 3187, 454, 288, 22449, 8502, 267, 538, 519, 2796, 540, 2029, 543, 13033, 267, 4016, 547, 513, 2754, 610, 3919, 602, 3091, 519, 3119, 1164, 18286, 1239, 11507, 585, 5769, 14479, 269, 1452, 7426, 2226, 1804, 267, 7347, 5121, 602, 957, 607, 519, 3844, 13398, 585, 1239, 6771, 1063, 4130, 267, 22297, 5769, 3028, 7426, 630, 3041, 11679, 264, 543, 19057, 269, 769, 9759, 267, 22449, 7426, 616, 519, 1292, 5989, 602, 7028, 519, 5347, 8647, 543, 2949, 10727, 540, 519, 2518, 5769, 563, 763, 13093, 2045, 12332, 540, 519, 20438, 968, 12988, 14752, 3038, 3187, 892, 666, 581, 6719, 607, 281, 270, 16659, 321, 19508, 330, 391, 490, 2692, 390, 488, 333, 929, 16745, 16659, 9366, 22688, 323, 16745, 337, 270, 2080, 779, 519, 12332, 15059, 18737, 968, 12988, 14752, 27535, 1315, 16659, 321 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4978, 949, 3337, 938, 2833, 971, 602, 513, 4797, 533, 612, 574, 2065, 1533, 5012, 547, 2942, 2566, 952, 2451, 31250, 563, 8448, 21500, 949, 1331, 1072, 267, 18083, 267, 3656, 9620, 267, 3092, 269, 898, 568, 1271, 547, 581, 2111, 547, 2697, 835, 779, 21500, 585, 2500, 2566, 2359, 563, 22546, 338, 540, 20134, 13262, 454, 763, 2360, 540, 2942, 2566, 666, 581, 19882, 883, 2101, 6688, 281, 2168, 267, 3929, 267, 2790, 543, 2589, 799, 3310, 24040, 3270, 563, 16498, 2360, 540, 2942, 2566, 1331, 9221, 1928, 543, 2295, 27621, 14591, 267, 20026, 267, 14331, 267, 31191, 543, 13029, 6091, 267, 1164, 1973, 2604, 267, 4028, 2597, 2744, 15828, 1601, 543, 4552, 2530, 563, 27078, 894, 2566, 849, 814, 3929, 6286, 971, 607, 7099, 23638, 267, 4742, 3362, 989, 18469, 543, 21616, 543, 7683, 4743, 899, 835, 814, 1100, 1852, 269, 20134, 2566, 568, 849, 28337, 609, 1582, 268, 13548, 2152, 971, 607, 1970, 1582, 12635, 543, 4606, 540, 4502, 16531, 269, 4400, 2566, 2157, 949, 1291, 547, 4160, 543, 4965, 563, 763, 2790, 11305, 4321, 7215, 2404, 609, 2942, 2566, 949, 1331, 17418, 547, 1445, 267, 3586, 20468, 267, 533, 612, 574, 1143, 267, 7340, 6888, 543, 771, 32360, 543, 4057, 27790, 269, 630, 290, 553, 732, 12848, 267, 476, 1001, 280, 994, 18814, 547, 891, 2360, 1004, 949, 8858, 811, 8401, 19326, 267, 2057, 9021, 543, 949, 2490, 547, 5061, 543, 4568, 547, 11883, 609, 519, 2566, 630, 28205, 616, 16160, 2081, 540, 5883, 2566, 1916, 19931, 13262, 5004, 454, 763, 9050, 589, 779, 540, 2566, 2359, 454, 268, 3680, 11991, 2566, 454, 268, 1325, 614, 519, 3510, 454, 268, 11154, 547, 519, 2566, 528, 454, 268, 20504, 519, 1919, 596, 3112, 1689, 630, 21659, 8657, 267, 9253, 25475, 8055, 267, 1299, 7917, 590, 20235, 267, 476, 1001, 280, 994, 30144, 2566, 2359, 3322, 5329, 513, 2318, 10182, 543, 16561, 602, 972, 616, 1919, 3564, 835, 779, 1852, 269, 898, 568, 849, 1271, 547, 581, 7682, 633, 607, 10353, 547, 1373, 10728, 610, 12809, 538, 11589, 13951, 269, 769, 2474, 540, 5466, 519, 2168, 2589, 267, 11005, 2553, 971, 607, 25019, 543, 10649, 6556, 2318, 2164, 282, 607, 1134, 607, 2834, 3635, 547, 16491, 519, 1560, 1732, 547, 2569, 519, 2168, 3441, 540, 2942, 2566, 269, 20865, 4189, 6208, 543, 1732, 942, 2359, 849, 3622, 2087, 606, 1367, 779, 7145, 269, 630, 29834, 320, 645, 8518, 926, 267, 476, 1001, 279, 1040, 13760, 2123, 7182, 543, 7771, 13668, 602, 616, 22350, 14053, 563, 2005, 568, 16122, 547, 2057, 16160, 12003, 6127, 543, 3343, 585, 8902, 2853, 543, 1514, 1489, 563, 19931, 2566, 2359, 2337, 547, 2736, 519, 3180, 540, 2566, 547, 1291, 513, 18668, 267, 8902, 267, 543, 2949, 811, 11327, 1272, 269, 630, 21659, 8657, 267, 9253, 25475, 8055, 267, 1299, 7917, 590, 20235, 267, 476, 1001, 280, 264, 634, 10700, 3804, 568, 513, 7059, 1272, 267, 609, 2614, 942, 585, 960, 267, 3347, 543, 16837, 269, 13229, 2566, 2359, 2306, 621, 2009, 547, 3035, 1305, 3853, 538, 513, 2635, 543, 17159, 1533, 267, 1152, 4758, 538, 547, 519, 2360, 540, 2318, 2566, 602, 11479, 835, 547, 2962, 563, 268, 16629, 732, 12848, 267, 808, 269, 630, 1001, 280, 267, 4864, 476, 272, 1040, 13262, 12580, 269, 8158, 689, 5680, 13270, 281, 4179, 2517, 4178, 269, 19986, 30113, 2593, 270, 25270, 23995, 816, 31193, 23995, 816, 1606, 2096, 2402, 13716, 338, 15058, 3613, 816, 6823, 7308, 23073, 258, 273, 454, 268, 26391, 20484, 267, 631, 269, 630, 1001, 278, 267, 5412, 476, 1015, 1040, 634, 12186, 540, 13262, 593, 2659, 10610, 269, 8158, 689, 5680, 13270, 281, 4179, 2517, 4178, 269, 19986, 30113, 2593, 270, 25270, 23995, 816, 31193, 27160, 977, 338, 6361, 3613, 816, 6823, 3917, 712, 23073, 454, 268, 9253, 20811, 1230, 2784, 17547, 16980, 267, 631, 269, 630, 333, 6155, 12175, 6481, 9502, 540, 2657, 269, 8158, 689, 6925, 15187, 281, 4179, 2517, 4178, 269, 4364, 545, 514, 523, 564, 2593, 270, 27771, 8276, 664, 270, 691, 269, 5684, 286, 14835, 4486, 284, 3607, 277, 274, 454, 268, 20484, 267, 700, 1421, 9253, 25475, 8055, 267, 631, 1421, 1299, 7917, 590, 20235, 267, 631, 269, 630, 1001, 280, 267, 5239, 1040, 13262, 5004, 269, 8158, 689, 6435, 10817, 728, 281, 4179, 2517, 4178, 269, 15276, 7666, 728, 3820, 270, 14895, 23995, 816, 23995, 816, 31193, 21867, 454, 268, 8055, 320, 645, 8518, 926, 267, 631, 269, 630, 1001, 279, 267, 5988, 476, 2641, 1040, 13262, 5004, 269, 8158, 689, 5680, 13270, 281, 4179, 2517, 4178, 269, 19986, 30113, 2593, 270, 25270, 23995, 816, 31193, 23995, 816, 31193, 454, 268, 16065, 267, 631, 269, 595, 269, 630, 1001, 280, 267, 4728, 476, 2764, 1040, 13262, 2359, 269, 8158, 689, 25832, 18669, 281, 4179, 2517, 4178, 6230, 599, 665, 4802, 545, 3820, 270, 11794, 2000, 604, 5598, 23995, 816, 31193, 30032, 3829, 23995, 816, 31193, 270, 691, 268, 1220, 4510, 272, 7906, 0, 28343, 20837, 538, 645, 1047, 6160, 534, 13738, 267, 667, 4426, 784, 3766, 684, 454, 7922, 4169, 540, 5180, 610, 4009, 11057, 7725, 543, 890, 6277, 956, 723, 1044, 7213, 6819, 538, 1804, 2338, 593, 7823, 19527, 543, 23898, 538, 713, 1858, 585, 5215, 540, 1296, 269, 898, 568, 5156, 602, 1346, 593, 645, 1047, 6160, 534, 13738, 941, 4646, 1282, 519, 3735, 829, 580, 331, 18432, 1974, 267, 799, 729, 827, 476, 1015, 267, 1822, 547, 476, 1911, 267, 1822, 1296, 3516, 269, 8409, 593, 645, 1047, 6160, 534, 13738, 267, 799, 4183, 2189, 5546, 267, 616, 5458, 7161, 540, 25342, 602, 941, 4646, 1282, 519, 31350, 17675, 11270, 540, 519, 12379, 32223, 16527, 269, 14066, 3283, 971, 607, 891, 616, 1360, 4686, 547, 1265, 538, 25342, 1106, 267, 543, 3976, 3173, 1265, 873, 547, 581, 513, 1360, 3407, 4199, 563, 4002, 645, 1047, 6160, 534, 13738, 267, 519, 7161, 540, 971, 7725, 8831, 689, 513, 4463, 540, 827, 476, 272, 267, 1822, 332, 2282, 20707, 1122, 6614, 976, 320, 13527, 543, 2066, 519, 19482, 13009, 269, 13332, 12535, 1376, 689, 1079, 1114, 4025, 593, 519, 9386, 267, 27721, 693, 606, 15038, 540, 827, 476, 16020, 332, 267, 543, 3247, 693, 606, 15038, 540, 827, 476, 14596, 332, 269, 1452, 3625, 12535, 616, 476, 273, 14790, 1279, 267, 476, 3199, 332, 2647, 630, 10946, 3065, 1070, 543, 476, 276, 332, 5394, 269, 634, 8006, 540, 519, 7725, 9832, 689, 476, 272, 268, 273, 332, 267, 1818, 873, 519, 4102, 540, 741, 2186, 538, 519, 2197, 563, 301, 792, 20707, 1122, 6614, 976, 320, 13527, 267, 972, 616, 29737, 23302, 7725, 971, 607, 645, 31866, 984, 25596, 9412, 543, 17833, 321, 25596, 9412, 267, 543, 2523, 17833, 321, 25596, 9412, 2982, 2963, 540, 2348, 8854, 998, 519, 1184, 540, 8731, 270, 2145, 639, 5250, 269, 667, 5744, 2010, 540, 27177, 616, 1336, 538, 519, 3625, 12535, 538, 645, 1047, 6160, 534, 13738, 267, 543, 789, 941, 11280, 607, 7849, 31790, 3143, 269, 476, 31973, 538, 476, 1220, 274, 538, 7156, 540, 741, 1382, 1871, 563, 265, 13669, 639, 2433, 513, 1895, 540, 8325, 24737, 3022, 7725, 646, 9464, 538, 519, 3337, 540, 513, 10178, 602, 18645, 998, 519, 1184, 540, 649, 9312, 4224, 4773, 9991, 1524, 689, 513, 14869, 9386, 630, 324, 3052, 269, 17833, 321, 25596, 9412, 994, 265, 8776, 2433, 25342, 4703, 2451, 1310, 519, 8851, 540, 11491, 2737, 7745, 11895, 998, 2620, 5498, 730, 29056, 630, 324, 3052, 269, 645, 31866, 984, 25596, 9412, 630, 289, 3291, 3873, 9412, 1070, 5754, 324, 784, 16660, 321, 25596, 9412, 630, 29662, 750, 9412, 1070, 1530, 684, 12494, 25596, 9412, 630, 12507, 330, 9412, 1070, 3092, 4700 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1384, 16465, 343, 18386, 32643, 338, 815, 1496, 343, 18386, 13232, 696, 18386, 272, 267, 1535, 18386, 13232, 696, 18386, 273, 267, 1535, 18386, 13232, 696, 18386, 272, 2639, 9681, 763, 1599, 1287, 7125, 519, 2387, 1326, 274, 6831, 648, 319, 1599, 609, 519, 6753, 267, 1647, 3259, 267, 543, 1647, 6521, 547, 1205, 519, 942, 23451, 543, 8242, 6753, 269, 898, 7024, 513, 1592, 540, 13978, 6383, 689, 519, 942, 23451, 543, 6753, 780, 2162, 634, 2387, 1326, 274, 319, 9577, 692, 763, 2387, 1326, 274, 319, 1599, 568, 2147, 547, 519, 2387, 1326, 274, 324, 319, 1599, 267, 855, 621, 568, 1031, 585, 513, 1114, 9183, 281, 1614, 13978, 609, 1100, 3160, 6753, 780, 3499, 7090, 454, 3698, 1205, 274, 3287, 5091, 626, 284, 272, 269, 271, 267, 1647, 318, 6352, 284, 272, 269, 271, 267, 1647, 318, 3333, 3424, 284, 1321, 269, 271, 2187, 825, 4429, 7884, 763, 1599, 1101, 21410, 519, 4571, 9557, 540, 519, 6753, 1384, 16465, 343, 18386, 13232, 696, 18386, 272, 815, 910, 343, 18386, 23251, 270, 273, 454, 9681, 16465, 343, 18386, 13232, 696, 18386, 273, 815, 1341, 343, 18386, 23251, 270, 273, 454, 9681, 2005, 1287, 5932, 513, 1592, 540, 6753, 609, 519, 4571, 9557, 543, 513, 4642, 538, 519, 1647, 1384, 16465, 343, 18386, 32643, 338, 815, 1496, 343, 18386, 13232, 696, 18386, 272, 267, 476, 271, 267, 1535, 18386, 13232, 696, 18386, 273, 2639, 9681, 763, 1599, 1287, 7125, 519, 2387, 1326, 274, 6831, 648, 319, 1599, 609, 519, 6753, 267, 1647, 3259, 267, 543, 1647, 6521, 547, 1205, 519, 942, 23451, 543, 8242, 6753, 269, 898, 7024, 513, 1592, 540, 13978, 6383, 689, 519, 942, 23451, 543, 6753, 780, 2162, 10390, 692, 1103, 713, 1837, 267, 649, 723, 8268, 519, 2035, 543, 6620, 1031, 538, 519, 3177, 5124, 3009, 1349, 269, 1284, 723, 2938, 875, 519, 2387, 1326, 274, 6831, 648, 319, 1599, 568, 1031, 547, 5173, 942, 23451, 543, 10593, 585, 513, 2016, 1305, 540, 6753, 267, 543, 875, 519, 2387, 1326, 274, 324, 319, 543, 2387, 1326, 274, 319, 3252, 946, 713, 547, 5352, 513, 1592, 540, 13978, 585, 1808, 7653, 269, 901, 2620, 4685, 883, 519, 3009, 814, 2016, 721, 513, 1732, 1620, 540, 875, 3252, 543, 6620, 960, 538, 5124, 267, 543, 814, 15469, 938, 7744, 543, 1966, 9010, 1983, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 266, 942, 318, 628, 3306, 910, 512, 6958, 549, 3097, 13872, 825, 952, 630, 1240, 269, 271, 910, 630, 339, 15461, 1341, 6521, 4297, 2999, 942, 318, 628, 3306, 281, 13872, 1038, 6521, 815, 476, 1704, 269, 3445, 910, 512, 15461, 910, 942, 318, 628, 3306, 28329, 825, 512, 10734, 2432, 815, 1496, 277, 269, 271, 267, 3097, 3546, 512, 6958, 549, 672, 1341, 6521, 267, 3097, 3546, 512, 8548, 573, 696, 318, 272, 1341, 6521, 267, 3097, 3546, 512, 8548, 573, 696, 318, 273, 1341, 6521, 267, 3097, 3546, 512, 15461, 8587, 1341, 6521, 267, 3097, 3546, 476, 1240, 269, 271, 6540, 825, 2132, 512, 10734, 2432, 267, 1535, 9078, 665, 338, 7531, 3698, 1205, 274, 324, 3287, 5091, 626, 284, 272, 269, 271, 267, 1647, 318, 6352, 284, 272, 269, 271, 267, 1647, 318, 3333, 3424, 284, 1321, 269, 271, 17107, 825, 1948, 476, 274, 13978, 267, 476, 273, 3160, 454, 825, 1948, 1326, 274, 324, 263, 271, 269, 2004, 267, 630, 272, 270, 277, 4534, 476, 276, 269, 5780, 4917, 8931, 8931, 825, 1535, 8548, 573, 696, 318, 272, 815, 910, 343, 5091, 626, 270, 273, 454, 825, 1535, 8548, 573, 696, 318, 273, 815, 1341, 343, 5091, 626, 270, 273, 8931, 8931, 825, 1535, 9078, 665, 338, 815, 1496, 343, 8548, 573, 696, 318, 272, 267, 1535, 8548, 573, 696, 318, 273, 267, 1535, 8548, 573, 696, 318, 272, 6540, 825, 512, 10734, 2432, 267, 1535, 9078, 665, 338, 815, 1205, 274, 6831, 648, 3287, 9078, 665, 338, 267, 1647, 318, 6352, 267, 1647, 318, 3333, 3424, 994, 8931, 825, 2132, 1024, 14067, 904, 6025, 10734, 2432, 267, 1535, 9078, 665, 338, 9239, 3698, 1205, 274, 3287, 5091, 626, 284, 272, 269, 271, 267, 1647, 318, 6352, 284, 272, 269, 271, 267, 1647, 318, 3333, 3424, 284, 1321, 269, 271, 17107, 825, 1948, 476, 274, 13978, 267, 476, 271, 3160, 22562, 825, 1535, 8548, 573, 696, 318, 272, 815, 910, 343, 5091, 626, 270, 273, 454, 825, 1535, 8548, 573, 696, 318, 273, 815, 1341, 343, 5091, 626, 270, 273, 8931, 8931, 825, 1535, 9078, 665, 338, 815, 1496, 343, 8548, 573, 696, 318, 272, 267, 476, 271, 267, 1535, 8548, 573, 696, 318, 273, 6540, 825, 512, 10734, 2432, 267, 1535, 9078, 665, 338, 815, 1205, 274, 6831, 648, 3287, 9078, 665, 338, 267, 1647, 318, 6352, 267, 1647, 318, 3333, 3424, 994, 8931, 825, 2132, 1024, 14067, 904, 6025, 10734, 2432, 267, 1535, 9078, 665, 338, 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, 0, 3848, 476, 277, 281, 18734, 2264, 910, 589, 5940, 3307, 633, 20309, 540, 8000, 6670, 543, 595, 10984, 545, 3203, 692, 1103, 519, 7706, 540, 1884, 2294, 543, 2445, 17156, 267, 1906, 6688, 666, 15180, 519, 27559, 543, 3140, 4644, 540, 4483, 2264, 269, 901, 3184, 12538, 883, 519, 3638, 1158, 540, 713, 2189, 1826, 540, 17375, 26274, 267, 3695, 922, 8129, 267, 1646, 267, 1374, 2609, 267, 543, 875, 621, 814, 28815, 998, 942, 547, 1831, 513, 524, 913, 1540, 19216, 262, 6221, 269, 1284, 786, 849, 4983, 4207, 3156, 543, 14624, 602, 1832, 713, 2757, 4739, 4143, 538, 2413, 2053, 780, 296, 269, 634, 17510, 540, 18734, 2264, 692, 763, 1650, 540, 4483, 2264, 5956, 538, 3735, 476, 1240, 628, 2540, 4789, 267, 4481, 538, 519, 16065, 867, 28790, 3148, 267, 1141, 519, 11633, 7169, 1185, 6603, 2407, 1193, 728, 269, 2060, 7760, 538, 2029, 543, 5663, 3157, 267, 1494, 1562, 8179, 5499, 2409, 547, 2743, 3395, 7082, 3747, 585, 10097, 2943, 17715, 3349, 342, 4100, 269, 2290, 971, 5647, 729, 4483, 8228, 267, 513, 4480, 22666, 689, 519, 19135, 2872, 602, 4847, 6946, 3270, 547, 581, 3362, 4294, 5196, 17375, 7252, 780, 2862, 269, 5463, 5317, 18734, 24614, 692, 4263, 922, 4295, 267, 4483, 8228, 3322, 2870, 513, 1374, 593, 513, 6094, 6656, 540, 5160, 1957, 1210, 2027, 13504, 5627, 17285, 27911, 269, 4495, 12015, 267, 519, 9102, 6656, 568, 5402, 9788, 5196, 513, 5423, 17375, 2627, 267, 2356, 552, 691, 1156, 2264, 610, 28028, 267, 1287, 4988, 609, 1776, 12308, 543, 9900, 20399, 547, 2327, 1697, 28455, 269, 30850, 267, 519, 4430, 1957, 568, 6569, 267, 6028, 3297, 519, 5551, 4806, 593, 519, 17375, 4062, 269, 7053, 267, 519, 1843, 25457, 20590, 538, 513, 29137, 267, 1818, 519, 11843, 3239, 8628, 543, 11259, 547, 5957, 780, 7656, 269, 10289, 5071, 15689, 692, 3080, 3112, 1865, 4483, 2264, 1510, 14344, 922, 27610, 6272, 267, 1419, 6273, 676, 2470, 267, 13299, 267, 27177, 267, 543, 3140, 2621, 269, 1452, 14969, 18305, 941, 7620, 6508, 689, 7601, 30066, 1266, 9545, 902, 267, 2663, 8719, 676, 5374, 6676, 1696, 577, 902, 607, 789, 6035, 9120, 8856, 543, 9355, 269, 5871, 4798, 1336, 538, 4483, 2264, 1331, 1384, 288, 269, 7579, 531, 18963, 1107, 5548, 6510, 27386, 12383, 6537, 689, 4890, 15013, 610, 16545, 29528, 563, 289, 269, 14924, 7870, 1107, 594, 11276, 961, 545, 10207, 18995, 28677, 24781, 642, 626, 553, 267, 6264, 11265, 3889, 267, 610, 11397, 3338, 563, 290, 269, 18190, 19088, 1108, 1107, 22569, 2044, 12082, 538, 13983, 1723, 7304, 2674, 17691, 543, 18691, 267, 15386, 10971, 267, 15831, 525, 267, 12325, 267, 543, 5869, 1149, 563, 291, 269, 932, 12437, 24809, 1107, 853, 2643, 1242, 11269, 540, 4457, 2528, 267, 18508, 267, 21426, 267, 543, 1004, 267, 10452, 2342, 781, 22906, 609, 519, 5101, 1282, 713, 1974, 780, 4353, 269, 2051, 712, 6022, 22863, 281, 2859, 20537, 2725, 1115, 519, 16685, 692, 4407, 4544, 543, 3043, 4483, 2264, 3788, 519, 1034, 6444, 14583, 1813, 547, 922, 2038, 8560, 267, 19216, 4166, 17947, 824, 24698, 899, 3039, 267, 3109, 267, 11909, 267, 13711, 267, 2699, 267, 543, 1256, 5835, 269, 3962, 2681, 3118, 5645, 1808, 25664, 725, 282, 585, 3236, 267, 3039, 3090, 1242, 1072, 543, 13884, 267, 1247, 11909, 859, 12097, 15832, 543, 8706, 6541, 269, 21452, 267, 1978, 4778, 941, 2404, 609, 1880, 6990, 610, 1514, 5049, 1765, 19990, 543, 3043, 1373, 1455, 1851, 1647, 11665, 10820, 267, 6466, 811, 7199, 2681, 3681, 524, 23926, 547, 5580, 2275, 6412, 7817, 25279, 780, 309, 269, 12472, 543, 29675, 3683, 5384, 692, 2026, 535, 1662, 687, 4957, 543, 16919, 7960, 267, 865, 1932, 1705, 4483, 2264, 2504, 2553, 543, 6163, 269, 1635, 519, 16972, 5736, 267, 9755, 5189, 15568, 2409, 899, 896, 6921, 10270, 8228, 267, 3850, 585, 3152, 1852, 936, 4778, 543, 32067, 3877, 269, 3958, 267, 3209, 5546, 7153, 267, 8151, 689, 2241, 10824, 543, 8286, 547, 3063, 341, 698, 656, 512, 9579, 553, 267, 4099, 20355, 267, 543, 19562, 1149, 269, 6736, 891, 7835, 267, 2705, 267, 519, 9759, 540, 4483, 2264, 1765, 1080, 10058, 7365, 540, 7499, 4082, 543, 2527, 9029, 1765, 8145, 7134, 3586, 2429, 1686, 780, 9654, 269, 12634, 25684, 543, 4860, 2526, 692, 9213, 267, 4483, 2264, 5170, 547, 25407, 12439, 5001, 945, 5660, 1312, 922, 12716, 1871, 543, 8978, 19259, 269, 7073, 5159, 543, 9858, 2721, 6667, 689, 5929, 4483, 2264, 18305, 267, 5368, 614, 31147, 873, 538, 4195, 8658, 543, 23447, 269, 5015, 267, 4207, 17375, 1235, 2308, 8242, 8747, 540, 4483, 8228, 2553, 267, 16471, 2245, 609, 5647, 547, 1711, 10875, 4773, 602, 13469, 609, 2221, 781, 6800, 780, 1103, 3932, 267, 4483, 2264, 6763, 607, 606, 11972, 15266, 547, 8103, 781, 3860, 6891, 543, 27265, 269, 3245, 922, 18803, 20297, 607, 513, 1942, 15807, 4244, 547, 1688, 1790, 20557, 23907, 267, 621, 814, 6738, 883, 513, 19644, 1148, 1106, 9976, 585, 922, 5898, 267, 17545, 267, 543, 2686, 4644, 269, 6787, 10268, 607, 1726, 25979, 25752, 5979, 1682, 610, 1065, 584, 12723, 538, 6427, 633, 2081, 267, 4483, 2264, 25601, 922, 15851, 27559, 267, 11173, 547, 6678, 337, 718, 5481, 540, 23507, 3464, 543, 19216, 7567, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8624, 937, 17156, 281, 9466, 18734, 2264, 454, 4596, 299, 28421, 2316, 13993, 2464, 12327, 12710, 4785, 4353, 5085, 312, 11123, 681, 13263, 5357, 15771, 5254, 3918, 4953, 27107, 298, 4953, 15760, 17252, 2793, 10001, 2177, 267, 562, 523, 553, 17084, 454, 296, 1705, 513, 2022, 1896, 3275, 3516, 593, 4544, 543, 3043, 18734, 2264, 543, 5941, 1250, 1378, 4015, 540, 3039, 18734, 2264, 267, 1631, 1934, 649, 616, 609, 6960, 269, 24511, 269, 891, 616, 519, 1614, 4778, 594, 993, 5432, 609, 630, 1492, 4544, 543, 3043, 1070, 10070, 538, 2828, 5321, 267, 630, 1492, 3039, 264, 799, 594, 2445, 267, 610, 630, 321, 3497, 264, 19632, 1247, 21528, 609, 7718, 908, 513, 2197, 1753, 1082, 1296, 3516, 269, 1924, 6960, 621, 568, 2221, 269, 2353, 540, 519, 4778, 543, 972, 616, 1082, 267, 1519, 11909, 267, 13711, 267, 2699, 267, 1256, 5835, 267, 596, 786, 1265, 1806, 547, 1039, 547, 707, 4015, 610, 1376, 513, 1007, 6612, 693, 519, 10865, 11969, 20462, 9335, 10369, 269, 594, 1589, 513, 3501, 4015, 585, 1022, 12096, 3349, 267, 2523, 21175, 563, 9558, 2536, 2264, 568, 513, 2511, 540, 23907, 1519, 20341, 267, 12129, 2264, 267, 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 ]
[ 8322, 638, 1115, 267, 1577, 721, 1101, 12172, 835, 3364, 1107, 1100, 2339, 875, 3579, 789, 1413, 267, 798, 10691, 946, 13836, 16835, 610, 25319, 533, 5417, 956, 547, 1404, 17281, 256, 3962, 7328, 814, 922, 1378, 2189, 1305, 540, 3937, 2966, 4481, 585, 602, 3014, 269, 1924, 267, 1577, 781, 2263, 519, 1898, 3334, 540, 513, 17281, 8322, 21103, 1384, 320, 264, 10361, 281, 901, 568, 1141, 1034, 540, 519, 2962, 4523, 1282, 513, 17281, 28487, 630, 7474, 781, 1175, 1776, 2262, 585, 1394, 7146, 16519, 628, 15377, 1063, 5716, 1040, 898, 2501, 538, 1585, 5546, 543, 7306, 267, 799, 666, 1860, 1379, 543, 1852, 1247, 4730, 269, 2368, 9843, 616, 24814, 11057, 543, 1683, 1732, 7098, 19392, 267, 3850, 585, 5488, 23638, 269, 11524, 616, 9962, 693, 519, 1283, 543, 1572, 834, 13232, 15200, 2437, 5356, 513, 3666, 1063, 1379, 543, 8856, 269, 14936, 267, 3677, 9843, 1634, 607, 834, 13569, 1242, 257, 2285, 14987, 3063, 19807, 950, 18644, 1055, 7266, 518, 15833, 1813, 547, 513, 8273, 6653, 5544, 630, 1492, 1858, 593, 519, 5569, 5127, 602, 2488, 5021, 1648, 4483, 950, 11495, 519, 3440, 6393, 321, 264, 7435, 548, 281, 4746, 5219, 547, 607, 519, 17945, 267, 519, 6023, 2636, 5716, 547, 3180, 5196, 519, 8322, 21103, 18172, 269, 717, 686, 1186, 2097, 538, 1114, 7306, 1759, 593, 1688, 7403, 267, 4180, 6099, 4313, 543, 7303, 7063, 971, 607, 28338, 610, 4043, 514, 4345, 269, 24812, 849, 4019, 936, 326, 8692, 11746, 585, 3773, 31289, 532, 543, 10110, 1890, 780, 322, 264, 5899, 902, 281, 1452, 12701, 2066, 519, 2212, 540, 519, 8322, 21103, 543, 948, 4412, 601, 519, 3440, 4464, 2390, 1764, 269, 774, 27903, 12673, 2709, 3152, 1852, 267, 6466, 23198, 3283, 5352, 811, 1379, 269, 3509, 3318, 9845, 3442, 10991, 8937, 10659, 1317, 789, 10880, 513, 3501, 3666, 1063, 1745, 267, 15006, 267, 543, 26622, 780, 323, 264, 1744, 10762, 281, 4045, 532, 519, 2212, 547, 519, 6023, 267, 519, 14788, 4249, 513, 2629, 1909, 538, 3246, 6617, 543, 23142, 21513, 2429, 519, 7406, 269, 4107, 2413, 8322, 638, 1115, 4183, 17426, 2326, 899, 27948, 610, 3327, 6775, 29322, 585, 4824, 23603, 1464, 543, 8710, 10338, 780, 29222, 5517, 281, 9894, 596, 917, 602, 13343, 3240, 1230, 333, 832, 267, 513, 19416, 1977, 17281, 6345, 267, 4465, 5216, 9835, 590, 4594, 2206, 956, 10643, 1210, 513, 11308, 8322, 21103, 286, 4653, 781, 4359, 2029, 1522, 1118, 1346, 5929, 3631, 3100, 18642, 267, 855, 789, 1869, 3180, 513, 2027, 1747, 538, 938, 7328, 781, 1686, 2439, 4089, 476, 273, 281, 667, 5962, 585, 11773, 1107, 1849, 5847, 543, 7457, 1559, 692, 4407, 7802, 949, 711, 2047, 3310, 707, 2773, 593, 519, 5480, 267, 19703, 14013, 5849, 4313, 267, 5191, 540, 3350, 267, 543, 4027, 1996, 4365, 2175, 269, 26465, 545, 5957, 1500, 689, 7509, 2914, 10107, 17234, 2337, 1832, 17570, 2476, 689, 519, 1560, 267, 4227, 9636, 543, 669, 2378, 532, 269, 6684, 267, 9849, 24429, 11151, 5739, 11158, 5982, 4598, 267, 2523, 1282, 9205, 13292, 780, 16966, 1559, 899, 22970, 267, 1471, 832, 267, 21015, 27512, 267, 543, 26852, 4196, 2789, 5301, 1932, 269, 670, 1846, 2149, 707, 3068, 543, 4064, 689, 1463, 7943, 267, 1471, 832, 1450, 796, 984, 560, 1192, 539, 5075, 1247, 31364, 707, 4064, 267, 21015, 27512, 10110, 4430, 17570, 267, 543, 1697, 26852, 7413, 3723, 31868, 720, 3330, 10887, 543, 530, 1157, 2476, 7509, 547, 2061, 28338, 780, 2026, 585, 31321, 267, 10115, 538, 2298, 17281, 10887, 568, 4105, 2094, 789, 8597, 4481, 547, 14694, 5322, 1455, 538, 24646, 564, 5026, 269, 1358, 1419, 4183, 1875, 27360, 532, 1151, 525, 547, 8190, 11255, 5480, 7252, 267, 1200, 2590, 14752, 25500, 3270, 585, 9120, 20086, 267, 543, 15792, 2895, 1489, 585, 8710, 10338, 780, 3682, 17785, 281, 11408, 3314, 547, 17063, 707, 15524, 601, 2167, 17401, 1354, 19480, 5196, 519, 5480, 256, 700, 5366, 561, 2167, 666, 1291, 547, 27390, 17094, 956, 610, 18202, 838, 23230, 267, 12042, 1359, 707, 2702, 547, 1685, 693, 707, 1655, 780, 4089, 476, 274, 281, 6657, 24439, 17828, 1107, 9751, 589, 1749, 692, 3086, 602, 649, 4312, 4988, 519, 9238, 1577, 781, 1865, 2645, 602, 666, 3986, 707, 1983, 543, 1491, 707, 29863, 547, 1007, 15627, 256, 9751, 11226, 1445, 593, 5355, 1808, 3344, 540, 4480, 267, 11558, 267, 543, 8516, 269, 2368, 2442, 3681, 1851, 14971, 17281, 6801, 1331, 1384, 268, 1230, 525, 543, 22231, 23665, 281, 13242, 585, 4259, 909, 24200, 13389, 3432, 267, 2656, 1145, 267, 543, 5114, 942, 563, 268, 27010, 12508, 281, 6435, 1020, 6111, 543, 11007, 950, 17935, 585, 1978, 9634, 593, 519, 5480, 563, 268, 11831, 6191, 281, 20644, 12747, 3440, 6765, 693, 28253, 11250, 267, 8095, 3928, 267, 543, 24551, 267, 7175, 21088, 2259, 7886, 563, 268, 1234, 20129, 24437, 281, 14190, 5716, 547, 960, 593, 2019, 2917, 532, 2553, 676, 13059, 11084, 5734, 2509, 873, 780, 4415, 11428, 267, 9015, 267, 543, 519, 1318, 3937, 267, 945, 6487, 286, 1411, 1223, 1831, 519, 1985, 22299, 1178, 1424, 4099, 5480, 2439, 5226, 714, 5384, 2439, 2414, 12927, 707, 1620, 540, 713, 3184, 781, 9115, 267, 2626, 519, 1739, 2055, 1384, 272, 269, 1548, 1570, 568, 4122, 1031, 2221, 585, 5663, 1164, 26024, 17281, 8322, 21103, 14604, 888, 273, 269, 4208, 568, 7446, 3617, 18942, 30933, 1271, 950, 10283, 538, 17281, 2238, 888, 274, 269, 5903, 1614, 2640, 540, 2866, 11226, 538, 3384, 17281, 1983, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12179, 821, 1280, 570, 12447, 888, 303, 1046, 17281, 10470, 538, 2776, 8725, 723, 13166, 556, 641, 2989, 1739, 513, 11278, 25838, 267, 1822, 22058, 566, 267, 7307, 676, 519, 700, 14011, 267, 543, 14102, 676, 519, 5177, 6554, 267, 700, 14011, 570, 12447, 7690, 543, 2776, 8725, 4975, 7027, 269, 22878, 281, 23436, 9466, 454, 763, 6103, 4083, 265, 7396, 631, 3233, 5244, 18795, 593, 519, 856, 12921, 16630, 540, 2776, 8725, 2749, 8998, 267, 20808, 513, 5682, 25035, 8366, 538, 6284, 540, 922, 6561, 543, 5826, 269, 1306, 519, 2749, 779, 9510, 543, 4102, 6288, 1633, 267, 631, 3233, 5244, 3091, 5318, 1930, 3039, 5624, 543, 8037, 5898, 9634, 269, 2060, 865, 1082, 10092, 543, 865, 1454, 2230, 267, 596, 2461, 1863, 547, 3802, 267, 2196, 267, 4783, 267, 610, 1256, 25920, 538, 519, 6288, 779, 11280, 25920, 335, 1046, 269, 631, 3233, 5244, 2306, 513, 18174, 31383, 3643, 585, 5026, 11655, 543, 3885, 267, 7064, 547, 922, 2647, 3099, 540, 5026, 543, 16351, 6703, 543, 1453, 779, 1404, 2127, 269, 1656, 2059, 609, 824, 11614, 538, 2776, 8725, 267, 1631, 19646, 18175, 24612, 17281, 10470, 563, 763, 17281, 10470, 538, 631, 3233, 5244, 267, 2059, 609, 13201, 4594, 5244, 543, 12891, 2023, 5244, 267, 723, 28322, 689, 519, 11278, 25838, 267, 1822, 5092, 269, 631, 3233, 5244, 18799, 513, 16008, 13984, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 12447, 16811, 257, 607, 851, 540, 834, 9915, 3036, 4811, 1299, 23414, 3918, 9569, 1315, 681, 871, 564, 11846, 1315, 570, 12447, 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, 594, 1869, 666, 1405, 3494, 594, 1336, 8284, 7192, 20601, 15606, 945, 2671, 1250, 15116, 31117, 585, 782, 1919, 4584, 1194, 256, 898, 3323, 21030, 1836, 2614, 910, 513, 6159, 1324, 585, 1945, 11877, 3366, 803, 1524, 513, 15529, 8559, 540, 25496, 3536, 689, 1472, 519, 1158, 269, 3245, 4436, 10487, 17064, 571, 583, 547, 11114, 737, 574, 14024, 267, 594, 729, 554, 10541, 593, 741, 8126, 344, 22556, 269, 1656, 1287, 594, 4362, 519, 10700, 562, 597, 341, 3570, 1107, 16231, 4584, 956, 630, 528, 21453, 584, 5652, 1070, 799, 616, 1490, 1441, 547, 19870, 609, 13342, 267, 546, 650, 267, 543, 14546, 269, 24656, 569, 2439, 3080, 12556, 995, 1554, 267, 1247, 19855, 998, 513, 9583, 20775, 1016, 1042, 9016, 827, 1893, 1565, 267, 594, 16686, 2390, 707, 4901, 827, 875, 547, 2161, 834, 2414, 3548, 1134, 538, 713, 2197, 267, 835, 1590, 723, 14254, 1614, 2053, 513, 1554, 257, 538, 16231, 269, 1677, 1250, 10508, 267, 930, 2186, 9997, 1185, 11540, 519, 8144, 589, 2421, 17487, 491, 21754, 384, 505, 330, 642, 512, 2946, 1729, 1990, 655, 6403, 798, 321, 385, 503, 324, 795, 539, 331, 267, 1660, 6403, 2879, 6403, 323, 520, 512, 385, 503, 1731, 337, 5451, 339, 546, 3317, 384, 505, 269, 3733, 2295, 1236, 5792, 513, 10726, 950, 594, 7691, 972, 1522, 1175, 581, 513, 4276, 1063, 891, 1079, 10600, 1765, 335, 1157, 1782, 543, 4654, 269, 1411, 1294, 267, 594, 2141, 2219, 602, 2348, 4584, 956, 585, 14254, 729, 606, 9642, 640, 2189, 1152, 547, 8885, 269, 9741, 1705, 594, 917, 602, 5310, 1256, 519, 16231, 1004, 3180, 873, 538, 971, 1164, 2543, 1932, 2439, 30265, 539, 609, 17105, 15131, 267, 594, 24389, 593, 513, 1391, 547, 1451, 811, 827, 16231, 11951, 543, 2528, 269, 1325, 553, 267, 1169, 11600, 594, 11402, 6700, 10438, 4584, 956, 7258, 5798, 267, 30725, 1137, 267, 610, 3694, 585, 2901, 2034, 610, 3791, 2736, 325, 6814, 269, 3502, 2899, 1705, 789, 4363, 4098, 519, 1554, 609, 513, 20220, 540, 891, 32219, 1642, 2074, 256, 1809, 7227, 1862, 1018, 952, 594, 3576, 713, 10409, 9756, 2417, 286, 16393, 621, 2731, 581, 2009, 602, 519, 7326, 3297, 4189, 1614, 2736, 325, 6814, 1223, 8831, 3564, 6071, 32351, 543, 7854, 938, 11537, 4584, 956, 1932, 2496, 7804, 1508, 676, 7279, 267, 594, 4956, 547, 2932, 513, 2370, 4603, 269, 1280, 606, 3003, 3018, 267, 594, 11368, 4584, 956, 883, 1142, 7594, 540, 519, 1554, 1765, 332, 528, 940, 267, 29869, 267, 543, 3781, 269, 1306, 4397, 267, 1250, 6492, 19512, 556, 14765, 5367, 693, 519, 19175, 540, 7680, 1585, 18707, 540, 25188, 1145, 2429, 24971, 3108, 269, 1717, 267, 607, 2395, 5293, 267, 1945, 2864, 9058, 5949, 282, 1250, 1648, 2157, 865, 1563, 2362, 982, 2479, 1354, 780, 296, 11432, 1229, 936, 713, 6602, 543, 4448, 519, 15956, 269, 12344, 621, 7012, 1405, 8806, 827, 10438, 1614, 5094, 6980, 267, 855, 4180, 3099, 1369, 1346, 1065, 6814, 269, 1635, 6220, 32714, 11656, 3536, 899, 4584, 956, 7258, 824, 14312, 3681, 267, 649, 1450, 938, 4703, 547, 8853, 269, 2991, 782, 267, 3884, 1405, 4509, 8937, 1072, 1898, 585, 2949, 8171, 2496, 4517, 3976, 267, 15210, 23551, 6002, 267, 7064, 547, 938, 7104, 2648, 585, 1312, 1426, 543, 1893, 267, 594, 6591, 513, 4514, 7071, 585, 2686, 16082, 543, 11477, 5389, 269, 2859, 11932, 267, 1498, 267, 594, 11552, 691, 1117, 513, 2241, 5168, 281, 1100, 2339, 1141, 649, 2097, 689, 610, 1018, 649, 3548, 267, 8508, 4763, 6770, 721, 6251, 1927, 1765, 2041, 621, 998, 4687, 10346, 267, 27300, 2093, 267, 610, 3274, 5260, 1681, 519, 7772, 540, 12423, 1455, 2666, 269, 1924, 1934, 781, 547, 8840, 3694, 630, 663, 4584, 956, 264, 609, 2828, 2025, 543, 1007, 256, 10878, 1990, 323, 9545, 6403, 256, 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, 22081, 568, 834, 2414, 3548, 1134, 538, 713, 2197, 267, 835, 1590, 723, 14254, 1614, 2053, 513, 1554, 1701, 1767, 538, 16231, 888, 1103, 16231, 267, 834, 2414, 3548, 1134, 538, 713, 2197, 267, 835, 1590, 723, 14254, 1614, 2053, 513, 1554, 1701, 1131, 581, 834, 288, 2421, 17487, 491, 21754, 384, 505, 330, 642, 512, 2946, 1729, 1990, 655, 328, 798, 321, 385, 503, 324, 795, 539, 331, 267, 1660, 6403, 2879, 6403, 323, 520, 512, 385, 503, 1731, 337, 5451, 339, 546, 3317, 384, 505, 1701, 3807, 899, 538, 2296, 267, 621, 781, 6031, 602, 952, 596, 1616, 547, 3251, 2635, 543, 3548, 1434, 267, 596, 1058, 723, 14254, 1614, 2053, 538, 513, 1554, 269, 634, 1913, 949, 3280, 1114, 267, 855, 621, 781, 519, 1482, 2856, 256, 10640, 763, 1650, 1058 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3562, 17000, 11819, 27491, 543, 2626, 1883, 3769, 267, 2059, 609, 513, 476, 736, 6709, 3878, 1246, 909, 7688, 547, 2708, 2875, 3356, 269, 634, 7688, 666, 849, 581, 2016, 607, 513, 6780, 7084, 563, 306, 7417, 9338, 12569, 281, 26969, 10794, 281, 12448, 12722, 267, 7537, 2207, 2975, 3198, 25886, 700, 8577, 2177, 476, 8287, 540, 476, 5611, 0, 1692, 547, 5269, 6997, 1564, 3245, 606, 9185, 11711, 454, 19859, 7809, 9185, 568, 22369, 3301, 602, 666, 948, 596, 1711, 543, 4383, 1804, 5666, 540, 1239, 267, 1519, 4408, 543, 9607, 269, 9185, 2501, 607, 851, 540, 519, 9786, 8433, 10189, 267, 799, 2882, 17948, 267, 9185, 543, 6478, 269, 9185, 1281, 711, 2047, 1820, 10297, 281, 952, 596, 1616, 547, 2490, 606, 9185, 22369, 883, 10297, 267, 596, 991, 547, 946, 9786, 6478, 781, 13875, 19467, 1599, 547, 1104, 519, 9185, 1239, 883, 6478, 543, 3898, 519, 10297, 585, 8228, 563, 28830, 1411, 3513, 10261, 454, 268, 9185, 4976, 609, 707, 6003, 1239, 454, 12812, 519, 834, 300, 841, 902, 257, 26781, 563, 12812, 834, 15675, 5589, 760, 1801, 257, 593, 519, 25357, 902, 26781, 267, 538, 519, 3399, 25357, 8585, 613, 3296, 563, 12812, 834, 8196, 1401, 12371, 5903, 1701, 8564, 519, 22369, 602, 814, 707, 2232, 1239, 538, 621, 269, 4964, 834, 10498, 257, 547, 1930, 621, 563, 12812, 834, 299, 8475, 257, 338, 538, 519, 25357, 902, 26781, 267, 538, 519, 8073, 3296, 563, 12812, 834, 19530, 257, 952, 596, 1616, 547, 1820, 519, 10297, 269, 8437, 834, 6124, 11657, 257, 952, 596, 1616, 547, 2070, 543, 12575, 519, 10297, 1354, 596, 1820, 873, 563, 19522, 1299, 2782, 11789, 454, 268, 1677, 1820, 17158, 525, 3079, 540, 10297, 267, 4945, 834, 5319, 975, 525, 257, 3079, 540, 834, 24248, 1564, 257, 538, 519, 8073, 3296, 540, 519, 25357, 902, 26781, 269, 0, 22923, 610, 3231, 1676, 454, 296, 4941, 713, 7237, 609, 519, 812, 594, 9364, 2097, 547, 1589, 540, 607, 513, 2034, 4651, 547, 581, 782, 7553, 267, 5088, 806, 267, 17229, 269, 1809, 594, 7691, 32572, 1131, 4440, 1175, 21199, 1250, 1688, 18005, 543, 649, 1131, 723, 1360, 3540, 1242, 942, 543, 602, 1131, 581, 602, 269, 594, 729, 5423, 563, 8923, 2491, 519, 12006, 1913, 563, 9827, 594, 1589, 267, 630, 1729, 581, 782, 7553, 5541, 1862, 264, 815, 630, 1729, 2671, 782, 7553, 5541, 2807, 1862, 1040, 2549, 594, 1318, 888, 763, 4845, 10416, 1797, 834, 296, 4941, 713, 7237, 547, 581, 1360, 3929, 267, 609, 6266, 540, 5088, 806, 543, 17229, 1701, 630, 299, 1824, 540, 5088, 806, 543, 17229, 815, 6266, 540, 554, 19982, 543, 24986, 8094, 257, 6546, 1131, 581, 602, 257, 1797, 834, 6546, 1131, 581, 782, 630, 11004, 729, 1040, 1703, 1131, 581, 4986, 811, 1701, 0, 293, 1601, 559, 18625, 666, 1683, 2963, 585, 519, 4473, 543, 2887, 540, 4262, 2157, 3361, 676, 519, 1628, 5346, 543, 13621, 540, 4672, 9212, 593, 17407, 269, 25441, 540, 14147, 18625, 568, 12913, 676, 7421, 5439, 585, 14599, 24745, 971, 607, 20879, 563, 290, 7394, 568, 513, 2713, 11248, 602, 3096, 7513, 19941, 547, 1628, 922, 16538, 9875, 7387, 269, 634, 5888, 543, 5223, 540, 1114, 24745, 540, 5135, 543, 8407, 666, 581, 1031, 547, 17429, 576, 519, 1216, 2837, 543, 11626, 2175, 540, 519, 942, 538, 799, 519, 7513, 19941, 729, 4646, 269, 1358, 666, 2693, 849, 3327, 4266, 519, 14147, 7729, 30416, 547, 3313, 519, 2085, 267, 543, 6474, 2837, 543, 942, 1974, 563, 12812, 1934, 547, 22599, 16253, 563, 28989, 267, 4263, 713, 942, 3593, 14261, 568, 16981, 269, 1284, 786, 1930, 14261, 4166, 2336, 10673, 1405, 723, 606, 2272, 286, 8437, 3371, 547, 6178, 1575, 454, 15100, 14645, 5682, 9172, 9955, 2593, 20941, 0, 347, 2414, 14969, 513, 2370, 593, 519, 2063, 6085, 281, 834, 10190, 1921, 782, 540, 707, 3457, 547, 519, 6467, 1701, 2008, 2252, 267, 2161, 596, 723, 513, 18760, 602, 568, 3728, 2614, 585, 519, 4950, 855, 922, 25494, 16788, 616, 3908, 547, 2161, 476, 1911, 11586, 4882, 267, 952, 596, 6718, 513, 6467, 799, 568, 5488, 267, 2161, 476, 1911, 271, 11586, 4882, 543, 1921, 621, 547, 707, 18760, 855, 1921, 782, 540, 707, 3457, 547, 519, 6467, 267, 1287, 519, 3432, 1063, 782, 540, 707, 3457, 786, 581, 909, 547, 476, 1911, 271, 11586, 4882, 4470, 593, 519, 3457, 543, 15791, 1152, 609, 519, 5007, 630, 514, 1181, 564, 264, 3432, 519, 1482, 607, 789, 729, 1354, 269, 4475, 621, 568, 547, 707, 5413, 547, 1205, 513, 6467, 1804, 2614, 585, 782, 540, 707, 3457, 543, 1921, 873, 782, 998, 519, 6467, 585, 519, 1655, 2009, 11250, 1063, 707, 3457, 607, 2009, 269, 4634, 540, 596, 723, 513, 717, 580, 17879, 974, 18760, 267, 972, 1869, 949, 581, 930, 3432, 5413, 547, 2348, 873, 782, 593, 835, 6467, 952, 2009, 563, 2791, 723, 547, 581, 513, 2370, 3787, 21173, 547, 1832, 596, 689, 2469, 1202, 2033, 269, 0, 763, 4279, 4446, 8175, 24035, 2443, 519, 1158, 779, 4102, 2713, 2497, 2443, 8309, 936, 1269, 276, 5479, 12422, 547, 519, 8241, 4346, 267, 609, 9235, 8051, 585, 513, 5458, 32004, 540, 519, 2724, 6383, 269, 1717, 267, 538, 2487, 1296, 267, 2916, 1689, 14001, 5836, 3679, 2305, 814, 16094, 8697, 519, 11599, 2497, 267, 8380, 693, 1981, 711, 1152, 519, 9118, 2249, 602, 4096, 593, 621, 267, 855, 849, 519, 8907, 6908, 602, 7028, 513, 1713, 6712, 540, 2804, 2534, 538, 5245, 563, 4002, 13628, 267, 519, 2136, 8315, 5950, 513, 1883, 1867, 11331, 968, 13328, 11595, 543, 21094, 538, 513, 21744, 8693, 2223, 799, 8947, 519, 1764, 540, 2518, 8337, 593, 7925, 2067, 543, 2686, 2622, 11595, 26317, 269, 5080, 29418, 267, 543, 547, 519, 536, 3530, 2211, 540, 1082, 267, 519, 476, 1911, 22240, 1867, 1281, 711, 2446, 519, 4279, 4446, 8175, 24035, 1256, 2899, 563, 6097, 547, 519, 26851, 267, 782, 8100, 547, 519, 4279, 4446, 8175, 24035, 941, 6569, 689, 519, 3561, 693, 519, 581, 4554, 540, 519, 8241, 2229, 267, 799, 6829, 12194, 602, 519, 1344, 543, 13311, 32398, 949, 10413, 9235, 563, 2108, 13146, 1995, 538, 5245, 1185, 3254, 602, 2942, 16555, 827, 519, 4567, 540, 1158, 6561, 3601, 12936, 593, 9235, 2223, 513, 22557, 17367, 585, 5245, 779, 1604, 8257, 5143, 519, 26851, 563, 4913, 267, 519, 1350, 2130, 522, 3939, 814, 711, 8854, 1524, 1134, 609, 3744, 543, 2916, 15628, 267, 2523, 607, 621, 2501, 693, 513, 942, 950, 519, 11818, 568, 26164, 519, 10782, 14147, 6926, 2286, 2680, 538, 922, 1686, 563, 14881, 4076, 6170, 513, 2603, 540, 1250, 4876, 2324, 18368, 543, 621, 779, 1360, 4686, 602, 594, 1131, 1294, 1945, 899, 713, 8345, 2223, 4024, 6008, 742, 523, 2443, 519, 2212, 540, 5245, 779, 2916, 14643, 543, 835, 540, 519, 3621, 2689, 619, 540, 519, 6810, 827, 519, 11818, 602, 941, 6569, 267, 5143, 519, 26851, 269, 968, 22818, 538, 519, 2025, 8168, 5742, 596, 1131, 1294, 713, 4990, 540, 3364, 8345, 267, 1141, 6608, 1131, 844, 1662, 1344, 1317, 789, 4769, 1406, 899, 621, 269, 1809, 711, 538, 5375, 1629, 31097, 269, 594, 10093, 1406, 2938, 621, 4755, 1354, 3034, 763, 4279, 4446, 8175, 24035, 267, 799, 21018, 936, 476, 272, 267, 6110, 5195, 2059, 5245, 779, 22583, 5032, 267, 5161, 540, 5176, 476, 274, 267, 1822, 1367, 18625, 269, 634, 3148, 5713, 607, 513, 7226, 585, 5176, 476, 1911, 2249, 540, 21297, 8127, 267, 476, 274, 267, 1822, 8677, 540, 30114, 639, 802, 267, 476, 272, 267, 7785, 2010, 540, 3165, 267, 936, 476, 9873, 8677, 540, 16142, 543, 12345, 267, 543, 811, 982, 476, 1789, 2249, 540, 16385, 543, 23522, 563, 1103, 4873, 476, 1001, 276, 267, 519, 11818, 7522, 569, 14284, 1373, 7396, 607, 968, 514, 8594, 892, 676, 519, 1133, 525, 1723, 267, 1310, 519, 8241, 2229, 9307, 513, 15063, 1544, 547, 26193, 519, 3441, 563, 4913, 267, 1310, 2487, 12220, 8612, 602, 909, 547, 476, 11152, 2600, 540, 519, 11818, 729, 7092, 689, 930, 1377, 540, 6926, 2286, 2443, 799, 4386, 950, 14147, 18625, 616, 2322, 896, 3665, 2566, 1813, 547, 513, 4473, 538, 5836, 5210, 267, 23639, 267, 610, 1312, 2443, 1082, 723, 13175, 9870, 22027, 936, 519, 12117, 540, 5245, 779, 3646, 547, 4688, 519, 11818, 563, 2108, 10112, 9229, 676, 2789, 6937, 267, 519, 717, 16576, 814, 1044, 12290, 607, 1373, 4057, 543, 14016, 908, 269, 21009, 540, 922, 14147, 3382, 814, 1044, 4503, 936, 519, 2063, 1614, 5756, 2223, 6810, 540, 519, 1867, 602, 941, 22696, 5529, 855, 941, 15600, 676, 519, 26851, 267, 1767, 269, 968, 5472, 23053, 616, 602, 6926, 2286, 2621, 786, 1831, 811, 7928, 543, 9341, 15420, 811, 7920, 609, 4797, 2518, 8337, 267, 543, 602, 713, 5916, 609, 513, 4797, 7678, 538, 8337, 1216, 543, 5836, 3679, 2305, 786, 581, 2527, 1947, 17672, 547, 519, 717, 16576, 1848, 0, 763, 6602, 10741, 519, 1259, 585, 3744, 547, 1020, 5061, 602, 786, 1521, 7378, 4187, 676, 13389, 519, 3043, 1973, 2281, 543, 7303, 891, 689, 3001, 883, 3170, 8031, 267, 1141, 789, 2014, 6553, 543, 519, 5305, 540, 29299, 602, 5706, 7378, 563, 23178, 22255, 26858, 689, 25723, 26980, 781, 16790, 9404, 29774, 543, 3690, 8690, 566, 6498, 543, 824, 3173, 1500, 519, 6602, 1247, 30228, 519, 3170, 5160, 540, 811, 982, 476, 1911, 8841, 2103, 945, 1185, 22734, 22272, 7171, 6391, 563, 763, 6602, 3370, 538, 519, 4760, 12128, 3091, 519, 1101, 6169, 602, 31457, 538, 3170, 8031, 3132, 29299, 602, 11151, 2281, 689, 32232, 547, 519, 4527, 540, 7378, 563, 763, 8374, 540, 8377, 971, 607, 7378, 4187, 543, 3987, 267, 9025, 2068, 2404, 609, 2182, 2287, 540, 519, 16209, 267, 543, 6797, 2042, 616, 519, 1267, 540, 6553, 602, 4386, 538, 519, 3170, 5160, 267, 26858, 1767, 267, 2687, 547, 4284, 3073, 2593, 269, 1452, 8374, 1223, 581, 15286, 676, 3384, 5061, 602, 3077, 1978, 29299, 5950, 676, 519, 31457, 563, 295, 28207, 849, 1767, 31457, 14897, 950, 17324, 1004, 6336, 2597, 269, 1879, 713, 4523, 267, 519, 1981, 540, 3384, 7378, 4187, 543, 3987, 849, 7106, 8986, 267, 1352, 1767, 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 ]
[ 713, 666, 581, 2938, 607, 513, 1650, 267, 621, 568, 538, 1249, 606, 538, 519, 4090, 1603, 849, 1634, 607, 11430, 3740, 6965, 269, 898, 568, 513, 1650, 540, 3283, 2648, 585, 454, 2005, 8604, 607, 952, 1010, 17499, 11605, 585, 519, 991, 540, 4568, 543, 5061, 4941, 547, 1491, 936, 1010, 6857, 2247, 543, 1291, 1864, 547, 513, 5821, 538, 519, 16758, 269, 1261, 538, 1082, 8320, 1185, 9909, 540, 3257, 5061, 543, 1247, 646, 1281, 873, 646, 6257, 5128, 968, 314, 10623, 9934, 316, 535, 31902, 1434, 892, 646, 3112, 4766, 519, 14815, 676, 1913, 1447, 18363, 982, 891, 1317, 547, 6813, 971, 606, 7920, 4743, 543, 8213, 607, 1010, 267, 646, 1590, 946, 1913, 602, 2285, 519, 16999, 1764, 552, 3052, 269, 31169, 1913, 269, 6154, 344, 1031, 1360, 10855, 1913, 547, 2377, 331, 7571, 519, 10545, 540, 3877, 543, 646, 6913, 891, 2673, 11673, 676, 1210, 454, 763, 13705, 539, 21478, 19992, 28089, 30129, 26766, 779, 5675, 28089, 30129, 26766, 267, 2808, 676, 1082, 513, 5339, 21184, 945, 779, 18705, 19621, 32333, 267, 540, 27337, 881, 8941, 267, 10057, 609, 2669, 267, 7092, 543, 16897, 267, 616, 1152, 1208, 16940, 676, 519, 2833, 543, 3765, 325, 28232, 602, 26766, 814, 5030, 998, 689, 606, 2038, 2085, 269, 3571, 1272, 267, 2407, 540, 4965, 267, 2587, 560, 267, 543, 28194, 267, 3361, 676, 519, 2669, 540, 1346, 14191, 547, 1864, 267, 799, 8593, 6408, 547, 14686, 726, 8046, 543, 3676, 269, 1677, 11883, 267, 28089, 8179, 4313, 1152, 547, 519, 5377, 540, 513, 11480, 267, 799, 930, 3409, 1152, 2417, 6766, 1010, 12591, 607, 621, 2620, 2989, 1010, 28194, 269, 3683, 519, 1576, 540, 1010, 1272, 267, 646, 5206, 7366, 540, 2110, 2984, 543, 9954, 540, 799, 267, 1010, 1603, 2511, 729, 865, 2189, 267, 602, 1510, 14626, 2064, 729, 6766, 454, 2304, 1011, 1709, 1058, 711, 581, 11821, 609, 513, 22950, 19189, 267, 799, 12662, 519, 6648, 779, 21055, 2495, 883, 10750, 18340, 269, 1323, 2079, 24508, 513, 6648, 883, 2609, 607, 513, 1797, 547, 1620, 602, 1641, 269, 2368, 2009, 5079, 616, 3159, 267, 21055, 2495, 267, 11052, 267, 5515, 540, 4633, 267, 3280, 267, 11733, 267, 6249, 267, 543, 13513, 269, 18948, 543, 4334, 4025, 1079, 9954, 2427, 676, 2427, 543, 2090, 741, 3604, 543, 10486, 538, 1931, 547, 8774, 1769, 593, 1312, 1568, 269, 1879, 1603, 606, 2500, 6476, 543, 4334, 1957, 3322, 519, 1739, 3268, 282, 6292, 1079, 9954, 609, 1454, 538, 1455, 267, 1448, 547, 2417, 5667, 639, 4624, 11696, 331, 1734, 267, 1397, 29810, 3604, 267, 543, 5402, 2015, 707, 1557, 779, 3919, 563, 763, 1184, 540, 519, 5817, 6999, 1373, 10736, 883, 519, 8915, 1543, 568, 1572, 2048, 323, 3195, 960, 685, 543, 22506, 1767, 602, 713, 8915, 1543, 949, 581, 2495, 1652, 547, 4896, 855, 513, 25164, 3315, 560, 269, 22506, 1085, 1941, 539, 519, 946, 540, 2048, 323, 3195, 21594, 685, 607, 646, 5156, 602, 519, 6698, 2938, 538, 606, 1367, 779, 9909, 616, 3810, 2123, 269, 22506, 779, 3069, 540, 29681, 814, 1044, 8185, 10404, 2213, 676, 824, 3173, 267, 1312, 11874, 543, 9797, 269, 2368, 723, 11130, 602, 602, 22506, 779, 3069, 729, 519, 1101, 9836, 2272, 540, 9909, 269, 634, 476, 866, 628, 2540, 2486, 568, 1134, 1634, 585, 922, 1065, 4809, 2470, 543, 621, 568, 3833, 2693, 602, 930, 9909, 1131, 581, 6999, 30593, 618, 269, 0, 268, 26579, 568, 513, 2707, 540, 7772, 585, 1082, 3885, 563, 268, 1656, 1034, 1004, 7227, 23362, 585, 519, 8370, 18881, 6379, 8653, 547, 1439, 865, 789, 666, 3180, 741, 9002, 538, 741, 7916, 563, 268, 4438, 6765, 267, 1034, 2021, 2285, 4332, 6923, 563, 268, 1717, 267, 6970, 525, 732, 534, 6810, 630, 290, 16687, 264, 610, 10551, 6765, 568, 5227, 585, 11299, 2808, 547, 581, 693, 1981, 540, 1978, 8374, 602, 949, 2800, 873, 543, 741, 9002, 952, 789, 10929, 21420, 24570, 563, 303, 27389, 3599, 568, 513, 2707, 540, 7772, 585, 1082, 3885, 269, 1656, 1034, 1004, 7227, 23362, 585, 519, 8370, 18881, 6379, 8653, 547, 1439, 865, 789, 666, 3180, 741, 9002, 538, 741, 7916, 563, 7628, 6765, 267, 1034, 2021, 2285, 4332, 6923, 269, 1717, 267, 6970, 525, 732, 534, 6810, 630, 290, 16687, 264, 610, 10551, 6765, 568, 5227, 585, 11299, 2808, 547, 581, 693, 1981, 540, 1978, 8374, 602, 949, 2800, 873, 543, 741, 9002, 952, 789, 10929, 21420, 24570, 563, 4322, 1331, 11299, 609, 2462, 9002, 267, 2021, 8876, 9002, 602, 616, 711, 538, 4998, 7158, 267, 11299, 609, 726, 659, 1581, 2042, 610, 1346, 8876, 811, 982, 835, 4816, 563, 306, 17790, 6765, 666, 849, 581, 513, 10930, 4781, 585, 11299, 609, 1978, 2564, 2175, 899, 2295, 2068, 267, 1164, 1973, 2604, 267, 8459, 2068, 543, 3987, 602, 666, 1118, 21420, 6765, 5906, 569, 17173, 563, 2690, 2021, 538, 4000, 267, 1382, 2982, 602, 789, 616, 3810, 2693, 547, 5884, 689, 595, 5498, 2388, 3379, 547, 11299, 538, 1164, 13867, 6082, 971, 607, 519, 5177, 607, 1134, 607, 519, 2475, 563, 288, 1353, 3370, 538, 519, 31102, 6820, 2657, 4750, 2982, 14774, 7972, 1739, 595, 5498, 2388, 616, 476, 2004, 2053, 2362, 538, 4000, 3379, 547, 1164, 13867, 2477, 563, 763, 1353, 11331, 631, 11189, 543, 3026, 517, 7614, 27159, 1310, 6970, 525, 732, 534, 6765, 538, 519, 3979, 13880, 673, 27159, 5530, 281, 513, 476, 278, 6377, 18370, 8826, 17325, 1049, 595, 2129, 677, 5530, 3238, 811, 982, 476, 274, 267, 4335, 11299, 689, 476, 2420, 3979, 2477, 267, 1519, 15057, 563, 17780, 593, 519, 4681, 267, 519, 1034, 1455, 20334, 547, 519, 14774, 7972, 941, 4049, 11702, 1354, 267, 1282, 610, 1310, 6391, 563, 8448, 338, 941, 513, 986, 696, 3293, 19786, 267, 726, 659, 1581, 2042, 607, 1134, 607, 16562, 17561, 8374, 563, 763, 1353, 849, 1336, 602, 519, 30564, 9019, 2557, 630, 1372, 987, 540, 1453, 538, 519, 1101, 476, 2764, 2395, 540, 1272, 264, 1310, 595, 16687, 538, 4000, 729, 693, 513, 1164, 540, 476, 4510, 7972, 829, 476, 272, 267, 1822, 5838, 625, 269, 901, 568, 2673, 547, 5595, 519, 2518, 3328, 2557, 540, 476, 866, 829, 476, 272, 267, 1822, 24570, 607, 6592, 538, 519, 1353, 563, 6097, 547, 519, 3173, 267, 519, 4681, 5031, 519, 14849, 991, 585, 4824, 3106, 540, 10551, 5838, 625, 538, 3979, 2477, 899, 15057, 563, 2108, 18719, 22777, 540, 595, 16687, 10551, 4093, 1223, 15186, 2087, 1312, 14774, 543, 30564, 9019, 267, 799, 1131, 1291, 547, 1883, 2518, 1072, 12374, 2223, 1767, 23745, 645, 545, 15258, 267, 519, 1291, 2278, 540, 519, 1353, 689, 519, 2160, 540, 15729, 16011, 538, 3162, 4000, 563, 2414, 2087, 519, 3106, 540, 595, 5498, 2388, 585, 1312, 519, 3993, 543, 1200, 4816, 267, 519, 1353, 15565, 2038, 8446, 540, 2021, 693, 1981, 540, 11702, 607, 1134, 607, 519, 946, 540, 5061, 602, 2061, 7050, 11702, 630, 14006, 12268, 636, 688, 13579, 9071, 720, 264, 1310, 4332, 267, 2523, 1141, 519, 8244, 540, 1973, 568, 1970, 563, 14071, 1058, 2015, 3209, 2409, 540, 2866, 540, 1875, 14428, 903, 6509, 16562, 652, 2867, 1235, 267, 1519, 2228, 1489, 543, 5985, 2861, 3156, 2223, 646, 1767, 563, 7804, 3057, 22220, 7843, 1067, 2006, 267, 513, 575, 2106, 320, 1815, 6048, 543, 2212, 540, 519, 10418, 540, 28742, 538, 6468, 543, 4132, 2657, 693, 3397, 320, 16679, 2160, 11233, 538, 715, 23879, 6798, 267, 4967, 602, 513, 1883, 1900, 547, 19011, 1154, 14774, 7972, 568, 547, 2327, 602, 11299, 616, 16913, 2429, 741, 6379, 563, 1607, 786, 5512, 7189, 547, 3713, 8374, 630, 7945, 607, 17772, 10102, 807, 610, 1164, 1973, 2604, 1282, 6379, 264, 2038, 543, 2232, 873, 1354, 789, 2800, 563, 763, 2783, 568, 513, 2101, 2014, 540, 2669, 1851, 4299, 2021, 1282, 6765, 610, 1739, 513, 595, 16687, 269, 8616, 538, 1034, 2665, 267, 621, 666, 581, 5701, 543, 7307, 609, 5227, 6646, 1354, 621, 4991, 856, 540, 1688, 563, 303, 27389, 3599, 2638, 13522, 849, 5512, 7189, 547, 8430, 10551, 5838, 625, 2390, 7114, 991, 563, 1607, 19011, 1206, 11991, 2665, 540, 6595, 11483, 338, 602, 2356, 2333, 519, 1981, 540, 2669, 267, 1739, 519, 5650, 1851, 4299, 11299, 269, 3414, 3706, 6652, 2432, 267, 585, 1383, 267, 7189, 666, 2995, 952, 9002, 616, 538, 23222, 577, 2990, 630, 339, 1136, 513, 5377, 16365, 2990, 3079, 540, 519, 5227, 2212, 16365, 602, 552, 1162, 6765, 1916, 22746, 2665, 2356, 2154, 595, 5498, 2388, 267, 799, 666, 581, 16516, 1354, 789, 2800, 563, 17780, 593, 519, 12080, 540, 2657, 630, 300, 15121, 264, 4808, 267, 2503, 656, 2021, 1058, 979, 585, 693, 2547, 2185, 13494, 7614, 1416, 630, 3198, 290, 264, 11564, 610, 6379, 2638, 13522, 1354, 6765, 563, 21953, 267, 2229, 7194, 689, 519, 15057, 5915, 4919, 543, 2657, 11752, 630, 28474, 9391, 264, 1397, 602, 1152, 476, 6812, 2600, 540, 2503, 656, 2021, 2743, 1346, 9072, 563, 20442, 1058, 3136, 2870, 4656, 543, 16779, 11299, 547, 1174, 519, 1713, 1909, 602, 519, 2638, 13522, 1404, 538, 5009, 2635, 26691, 543, 7303, 14774, 7972, 2437, 1767, 3220, 7843, 1067, 2006, 563, 6097, 547, 1200, 267, 1569, 547, 2298, 3782, 2533, 1282, 6765, 568, 849, 1271, 563, 20442, 991, 547, 2327, 602, 10506, 616, 1134, 9280, 609, 9952, 1072, 4600, 593, 1796, 2421, 971, 607, 575, 2106, 320, 1815, 5505, 602, 666, 9108, 2932, 595, 5498, 2388, 950, 519, 991, 14340, 2437, 1352, 7074, 563, 7712, 711, 782, 1072, 6703, 723, 519, 4390, 547, 1685, 595, 5498, 2388, 267, 1072, 4966, 4063, 602, 3617, 29748, 1949, 1058, 581, 2322, 538, 1747, 547, 2327, 11299, 538, 991, 540, 519, 5650, 666, 581, 11843, 547, 1164, 7400, 10506, 538, 2053, 540, 6595, 269, 0, 15371, 621, 521, 513, 476, 3953, 476, 3607, 476, 5392, 476, 8618, 476, 10602, 610, 476, 6434, 1883, 13691, 621, 521, 782, 519, 1482, 269, 1284, 786, 1451, 782, 827, 519, 11768, 540, 10569, 593, 519, 476, 6434, 1883, 14440, 607, 1134, 607, 1883, 15236, 609, 1447, 10569, 563, 31819, 596, 991, 547, 1118, 1164, 2298, 2575, 1519, 586, 600, 21036, 2069, 24194, 1451, 547, 1404, 3252, 538, 606, 10097, 10189, 563, 312, 600, 21036, 13691, 476, 3607, 10569, 13042, 269, 8437, 1934, 585, 513, 3677, 7792, 14440, 13691, 10959, 269, 594, 723, 513, 694, 704, 622, 3381, 6158, 827, 3109, 10569, 269, 1703, 568, 2731, 1100, 3017, 538, 21458, 1022, 13691, 1100, 2339, 875, 1082, 10569, 621, 814, 563, 2171, 786, 1413, 693, 476, 6434, 1883, 476, 10602, 1883, 476, 8618, 1883, 476, 5392, 1883, 476, 4391, 1883, 476, 3607, 1883, 543, 476, 3953, 1883, 1883, 15236, 269, 634, 11768, 540, 513, 14440, 13691, 5161, 540, 1079, 3109, 10569, 4553, 676, 1079, 3043, 10569, 1287, 1614, 3109, 10569, 4553, 676, 1079, 3043, 10569, 269, 1548, 596, 991, 547, 798, 568, 547, 5431, 602, 972, 616, 1079, 3109, 10569, 1287, 513, 7934, 609, 1100, 3109, 1883, 1287, 476, 274, 3109, 10569, 513, 7934, 609, 1100, 3109, 1883, 1287, 476, 273, 3109, 10569, 543, 519, 4806, 8952, 18110, 936, 543, 936, 563, 7197, 3059, 32058, 657, 723, 476, 6434, 10569, 1247, 824, 1883, 15236, 666, 723, 476, 5392, 10569, 476, 8618, 10569, 476, 10602, 10569, 543, 865, 593, 269, 28038, 513, 1007, 3044, 585, 13691, 1235, 269, 901, 835, 568, 31002, 609, 14440, 13691, 4063, 4408, 563, 2467, 616, 476, 6434, 10569, 593, 513, 6264, 14440, 269, 634, 1101, 4063, 568, 513, 269, 3371, 521, 1776, 6516, 20515, 14440, 13691, 10569, 563, 3719, 1034, 1883, 15236, 723, 2901, 476, 8618, 610, 476, 10602, 10569, 269, 769, 606, 476, 6434, 1883, 14440, 972, 616, 476, 3607, 3109, 10569, 543, 476, 7367, 3043, 10569, 269, 634, 586, 322, 3942, 13691, 543, 524, 335, 3942, 14440, 563, 10602, 1883, 1883, 15236, 2097, 609, 476, 4029, 3109, 10569, 543, 476, 3393, 3043, 10569, 476, 8618, 1883, 1883, 15236, 2097, 609, 476, 1839, 3109, 10569, 543, 476, 3607, 3043, 10569, 1247, 476, 5392, 1883, 1883, 15236, 723, 476, 736, 3109, 10569, 543, 476, 3066, 3043, 3283, 269, 901, 2656, 5850, 786, 1397, 596, 875, 547, 6003, 519, 10569, 593, 707, 13691, 14440, 269, 901, 4806, 8952, 18110, 3294, 563, 306, 2432, 899, 513, 2603, 540, 1883, 15236, 855, 519, 6240, 3297, 519, 11768, 540, 10569, 593, 1169, 14440, 13691, 568, 519, 1482, 269, 594, 3972, 602, 596, 723, 513, 1732, 1620, 540, 519, 4967, 543, 10569, 593, 513, 14440, 13691, 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 ]
[ 269, 1452, 1614, 2127, 540, 519, 674, 9573, 293, 779, 4008, 25700, 960, 1489, 519, 2622, 7813, 779, 13834, 15613, 607, 1134, 607, 519, 6167, 779, 12655, 4886, 25779, 476, 276, 13991, 547, 8236, 4008, 7862, 543, 16779, 782, 2021, 543, 6690, 563, 17637, 532, 3292, 609, 4008, 4656, 454, 763, 674, 9573, 293, 7036, 525, 8639, 693, 519, 2508, 543, 2197, 1377, 547, 5385, 2093, 267, 4485, 267, 2591, 543, 3255, 1472, 4008, 543, 4104, 8916, 267, 543, 547, 20834, 1125, 3152, 3007, 585, 4008, 3344, 538, 681, 3633, 291, 266, 2994, 543, 3292, 269, 1280, 1383, 267, 519, 674, 9573, 293, 779, 3367, 1465, 19369, 1160, 27760, 630, 305, 6261, 303, 264, 10959, 8711, 519, 2956, 540, 6220, 4008, 9270, 883, 681, 3633, 291, 266, 22026, 563, 29638, 268, 22529, 633, 4104, 21804, 454, 763, 674, 9573, 293, 568, 5885, 4008, 268, 22529, 633, 4104, 21804, 693, 519, 2197, 1377, 547, 1174, 519, 3604, 1063, 875, 267, 1946, 267, 543, 1141, 2367, 543, 2021, 1569, 267, 946, 543, 4383, 7733, 269, 634, 674, 9573, 293, 1568, 609, 2197, 3292, 547, 1020, 4008, 2079, 607, 851, 540, 21864, 5113, 543, 4317, 10495, 267, 609, 513, 1445, 593, 3609, 6388, 267, 12250, 19349, 543, 4390, 2679, 269, 13834, 2962, 4566, 616, 2919, 609, 6405, 10832, 585, 6388, 543, 5464, 540, 18317, 3292, 563, 19465, 2963, 267, 1239, 543, 1702, 593, 4008, 4656, 454, 763, 674, 9573, 293, 3096, 4008, 9382, 543, 2962, 4566, 547, 2232, 519, 3668, 540, 4008, 16162, 12000, 27935, 1239, 543, 2697, 2565, 4008, 10616, 602, 3180, 1394, 519, 1646, 540, 4008, 25259, 7459, 269, 589, 2388, 6322, 693, 5466, 4008, 10616, 616, 1655, 4857, 1210, 8537, 267, 29355, 4485, 2038, 593, 585, 2500, 4104, 5251, 3785, 543, 4507, 563, 268, 13834, 543, 11206, 14924, 7870, 281, 31514, 4886, 28620, 540, 18768, 543, 15789, 454, 268, 31349, 540, 6206, 14430, 609, 513, 10312, 593, 13834, 543, 11206, 14924, 7870, 454, 268, 13088, 543, 22604, 585, 18601, 12983, 13565, 547, 11206, 14924, 7870, 267, 13834, 543, 24770, 454, 268, 13834, 538, 11982, 11905, 1504, 269, 21602, 476, 1428, 281, 13834, 543, 32645, 454, 268, 30855, 3213, 1532, 523, 9026, 1063, 13834, 25734, 543, 8693, 11059, 585, 12655, 4886, 454, 268, 23889, 13834, 25734, 538, 8693, 4149, 27926, 4886, 454, 268, 2622, 4886, 7797, 476, 1001, 273, 281, 13834, 25734, 543, 4886, 454, 268, 13834, 543, 11814, 1947, 4477, 323, 8092, 281, 6153, 13756, 543, 16497, 3231, 2740, 689, 14520, 6820, 8865, 5525, 454, 268, 8092, 14210, 675, 267, 16296, 7126, 267, 543, 13834, 0, 32546, 1289, 585, 4505, 7020, 540, 6217, 2530, 607, 1007, 1382, 2982, 3237, 1810, 1406, 3922, 1047, 4255, 585, 1453, 269, 8241, 3506, 543, 3237, 616, 24016, 547, 1449, 1453, 779, 6217, 1210, 513, 24802, 8810, 17676, 267, 2229, 14102, 813, 267, 14675, 2480, 8083, 269, 1715, 1382, 9250, 1282, 24651, 17607, 10432, 267, 4728, 476, 1001, 280, 7000, 602, 8241, 3237, 5749, 1406, 3922, 2358, 2565, 6217, 4255, 585, 1453, 269, 11778, 1397, 602, 513, 31417, 835, 538, 2947, 630, 736, 8472, 3237, 723, 2901, 2760, 1185, 741, 1126, 779, 6217, 7318, 610, 616, 18516, 952, 789, 723, 563, 763, 2243, 30366, 538, 938, 10772, 281, 4024, 519, 14130, 769, 11431, 24805, 566, 547, 2638, 938, 1453, 779, 6217, 693, 519, 1376, 540, 1153, 581, 4862, 888, 1432, 1281, 621, 1611, 950, 267, 513, 8549, 769, 11431, 602, 814, 6170, 1175, 21183, 540, 513, 1032, 14236, 5245, 779, 6217, 1072, 267, 15565, 602, 1453, 1058, 723, 741, 6217, 7318, 693, 519, 1376, 540, 1153, 286, 2290, 666, 1152, 8263, 602, 972, 779, 1434, 2014, 585, 713, 24805, 566, 267, 602, 621, 779, 1759, 593, 15360, 609, 1883, 6644, 3401, 267, 602, 621, 779, 6462, 676, 1382, 543, 602, 621, 1058, 8197, 581, 2322, 883, 2962, 269, 1924, 1018, 3366, 519, 769, 11431, 547, 1118, 713, 24805, 566, 888, 763, 1764, 540, 6217, 2530, 538, 1453, 568, 1869, 4122, 29144, 269, 1284, 5063, 4280, 938, 9365, 13794, 476, 276, 2055, 547, 1265, 856, 1018, 789, 6785, 827, 713, 3390, 269, 3371, 616, 938, 4267, 281, 1684, 8241, 12729, 1153, 1453, 723, 741, 6217, 13761, 950, 789, 1376, 1153, 286, 769, 1034, 2829, 543, 11182, 267, 8241, 3119, 1153, 1453, 798, 711, 723, 741, 6217, 13761, 1354, 4358, 1153, 269, 769, 29517, 267, 9251, 1453, 616, 6035, 513, 8289, 1449, 267, 855, 711, 513, 6217, 1449, 563, 27745, 538, 3430, 1549, 538, 707, 1126, 2965, 581, 6217, 2530, 286, 5753, 609, 796, 5417, 5962, 6217, 2152, 616, 1419, 31002, 607, 26688, 610, 538, 3430, 550, 633, 269, 6969, 1022, 5868, 540, 11838, 621, 568, 1271, 602, 824, 2188, 610, 3768, 328, 30938, 2175, 602, 1522, 581, 3743, 585, 538, 3430, 1549, 616, 17515, 269, 1280, 1383, 513, 1126, 1522, 723, 5571, 1647, 268, 792, 5563, 4929, 6217, 2042, 269, 589, 2241, 6217, 2638, 666, 4341, 713, 856, 543, 1118, 2386, 707, 1126, 11392, 519, 1318, 6304, 547, 948, 873, 8853, 538, 543, 856, 540, 519, 4928, 269, 0, 300, 5237, 540, 26551, 779, 1703, 568, 18266, 3371, 16503, 6233, 5274, 640, 540, 1763, 7808, 3427, 18984, 643, 832, 454, 16391, 9088, 4126, 602, 519, 14266, 267, 799, 8255, 2394, 5130, 476, 1708, 271, 267, 786, 3565, 547, 519, 3084, 5188, 4478, 21047, 543, 2699, 816, 563, 19688, 476, 276, 267, 476, 1001, 280, 454, 3412, 698, 2044, 18995, 519, 8225, 10821, 1153, 1062, 3335, 6799, 5449, 1053, 32503, 978, 7087, 1453, 945, 941, 9674, 689, 741, 3885, 543, 5321, 267, 543, 4174, 5529, 540, 741, 4529, 267, 1893, 543, 5389, 32737, 9601, 269, 630, 4517, 1318, 569, 865, 4700, 1809, 835, 645, 5861, 11607, 335, 22004, 14266, 568, 17935, 547, 13686, 519, 30840, 540, 10821, 1153, 15000, 1210, 513, 1893, 602, 22613, 10665, 281, 1148, 563, 9209, 538, 519, 1106, 540, 7990, 995, 10367, 543, 12400, 267, 547, 581, 3169, 267, 799, 941, 2813, 676, 7087, 1453, 1247, 789, 941, 11504, 10821, 543, 1554, 3506, 538, 5375, 4516, 1063, 519, 476, 6942, 271, 338, 543, 476, 1960, 271, 338, 269, 4354, 730, 676, 1656, 16699, 654, 1023, 327, 267, 12314, 7548, 540, 19795, 693, 519, 2160, 540, 15117, 267, 519, 14266, 1765, 550, 12822, 1703, 568, 18266, 3371, 28934, 16922, 540, 811, 982, 476, 2004, 29600, 4773, 267, 1082, 540, 873, 5892, 24603, 547, 11158, 545, 610, 593, 10211, 689, 3885, 540, 1453, 945, 13984, 769, 330, 877, 788, 4303, 3427, 538, 744, 810, 14623, 657, 267, 853, 269, 7812, 779, 4095, 1763, 7808, 3427, 538, 1325, 1068, 7345, 267, 19499, 14269, 4095, 1763, 7808, 3427, 593, 26551, 6816, 267, 543, 27963, 599, 4095, 1763, 7808, 3427, 538, 31671, 20899, 269, 898, 10741, 693, 519, 7467, 540, 26551, 2221, 630, 19688, 476, 276, 264, 543, 8255, 2394, 5130, 476, 1708, 271, 563, 763, 26620, 9446, 1004, 267, 8916, 543, 2831, 267, 799, 267, 1310, 6340, 609, 10821, 1153, 15000, 267, 654, 1023, 327, 3081, 616, 5921, 547, 581, 12496, 540, 7087, 1453, 779, 3885, 267, 5321, 543, 9821, 269, 2290, 3109, 7146, 22554, 5373, 20186, 513, 4807, 538, 2757, 3689, 8315, 10571, 267, 585, 1383, 267, 1200, 4552, 13615, 538, 1079, 16517, 2909, 1749, 267, 1247, 824, 2592, 1397, 2831, 971, 607, 17544, 267, 12217, 543, 5017, 1765, 16341, 9583, 7722, 538, 9161, 30147, 949, 2099, 5481, 6040, 1920, 1212, 7370, 563, 2690, 654, 1023, 327, 267, 891, 8100, 9414, 1765, 638, 924, 12777, 20196, 267, 5103, 519, 10821, 1153, 1062, 779, 8942, 547, 585, 322, 4601, 7759, 7087, 1453, 540, 741, 2686, 1702, 267, 972, 30174, 606, 1620, 543, 7071, 540, 741, 5389, 1369, 873, 269, 634, 1004, 267, 8916, 543, 2831, 13269, 616, 851, 540, 519, 15888, 685, 3961, 281, 789, 616, 968, 29715, 569, 13615, 547, 945, 519, 1126, 568, 2223, 3081, 654, 1023, 327, 269, 968, 3080, 540, 519, 1919, 602, 594, 4126, 1004, 1491, 2476, 689, 713, 14266, 568, 519, 2702, 540, 891, 7087, 3214, 547, 2769, 3961, 998, 1148, 3034, 23192, 3254, 693, 519, 22684, 3203, 20155, 538, 15117, 267, 1703, 568, 18266, 3371, 849, 2934, 3615, 971, 607, 536, 15085, 7219, 24853, 543, 7405, 602, 7087, 1453, 8246, 1282, 16222, 24299, 2322, 593, 607, 851, 540, 741, 942, 693, 10821, 3506, 538, 645, 5861, 269, 589, 4670, 4730, 693, 519, 14266, 786, 1397, 519, 1453, 9306, 835, 540, 891, 24299, 269, 769, 1840, 267, 14538, 666, 849, 2503, 547, 1265, 1585, 29939, 902, 267, 23157, 543, 824, 3615, 32737, 5697, 676, 1744, 16336, 10783, 2284, 267, 1225, 1807, 540, 7087, 10070, 543, 6278, 693, 631, 10976, 1765, 338, 712, 1027, 689, 10821, 3506, 602, 941, 13883, 538, 645, 5861, 563, 288, 9675, 1858, 16922, 540, 6885, 1922, 5217, 27939, 602, 6772, 23697, 11709, 1512, 5244, 786, 2709, 513, 1747, 585, 8436, 547, 18956, 547, 267, 538, 2013, 789, 1745, 1022, 11605, 1813, 547, 8823, 4547, 827, 676, 519, 14266, 269, 631, 10976, 5234, 723, 849, 4607, 8194, 2866, 689, 519, 4095, 1763, 7808, 3427, 18984, 643, 832, 5980, 563, 29467, 616, 1869, 513, 2603, 540, 1004, 856, 972, 945, 1810, 1406, 917, 1454, 827, 10821, 3506, 543, 519, 23543, 602, 723, 1044, 2451, 3297, 2223, 3081, 10783, 2284, 269, 968, 2171, 1294, 602, 972, 779, 513, 2603, 540, 1514, 8635, 585, 7087, 1004, 538, 1082, 2127, 540, 1272, 31539, 2069, 547, 1514, 10304, 547, 519, 7803, 5126, 1062, 269, 1656, 594, 1589, 952, 1004, 2731, 6956, 1141, 713, 568, 12082, 538, 938, 2250, 267, 543, 519, 26568, 4507, 602, 941, 2322, 538, 1747, 538, 938, 2197, 950, 621, 3357, 547, 3689, 8315, 1004, 543, 3843, 547, 3196, 873, 547, 15849, 30968, 883, 7262, 1242, 2528, 267, 972, 1131, 581, 513, 2603, 811, 10892, 543, 2463, 585, 5389, 602, 616, 1114, 689, 938, 1378, 3034, 2690, 654, 1023, 327, 267, 1703, 568, 18266, 3371, 1480, 3278, 7087, 5095, 602, 941, 4299, 11652, 3136, 547, 581, 4299, 1765, 2421, 22457, 4507, 538, 513, 1259, 602, 5313, 5359, 267, 1153, 9499, 543, 2489, 7194, 3111, 547, 798, 269, 968, 4322, 10367, 267, 713, 1148, 1500, 676, 3214, 1765, 16838, 952, 972, 3884, 1406, 513, 2012, 11911, 547, 519, 960, 1765, 718, 3298, 721, 547, 1796, 538, 519, 2230, 540, 602, 1126, 543, 2992, 593, 519, 15437, 6074, 267, 519, 1004, 543, 1919, 13269, 267, 519, 2604, 540, 513, 11453, 2223, 1352, 3081, 269, 968, 4517, 998, 602, 267, 649, 7198, 519, 1367, 267, 649, 7198, 519, 1126, 543, 649, 7198, 741, 5168, 538, 513, 1259, 649, 6382, 9327, 1406, 723, 1044, 2111, 547, 3034, 2467, 568, 18266, 3371, 267, 27065, 543, 26504, 538, 5753, 779, 3203, 689, 4095, 1763, 7808, 543, 4303, 12140, 454, 2691, 281, 11016, 267, 4989, 476, 276, 1765, 20464, 476, 1708, 271, 454, 8489, 281, 7467, 540, 26551, 267, 476, 8099, 271, 30446, 18133, 853, 563, 21798, 281, 32087, 609, 631, 10976, 16075, 630, 5228, 1269, 280, 269, 4037, 994, 5415, 9623, 281, 9754, 1993, 341, 24860, 28022, 270, 11004, 28104, 2389, 337, 3578, 268, 1877, 0, 2704, 24325, 616, 16764, 779, 19463, 2428, 269, 4107, 544, 1941, 902, 594, 1039, 513, 19625, 547, 1250, 14254, 2094, 789, 616, 17705, 543, 14312, 563, 268, 1358, 2569, 2295, 4323, 1981, 563, 10932, 3081, 602, 1346, 945, 8532, 10808, 2947, 2053, 513, 3018, 723, 827, 513, 476, 2004, 2600, 5786, 538, 1981, 540, 2295, 4323, 563, 268, 1358, 2539, 968, 21112, 892, 8501, 563, 2704, 24325, 3773, 547, 519, 2732, 723, 513, 7957, 24461, 1198, 593, 1973, 8501, 2157, 563, 268, 1358, 2149, 16050, 6821, 689, 3441, 563, 2005, 568, 1336, 602, 519, 32064, 6950, 538, 30288, 32675, 948, 960, 538, 5348, 1458, 609, 519, 6171, 661, 267, 3976, 4227, 519, 1981, 540, 2295, 2068, 563, 268, 16200, 7633, 543, 4522, 563, 763, 16903, 538, 30646, 2337, 1118, 1434, 543, 2178, 4522, 543, 7633, 563, 268, 22707, 538, 2597, 2530, 912, 2791, 2141, 616, 6026, 602, 10808, 616, 1164, 538, 3170, 267, 855, 30646, 948, 2569, 707, 2597, 269, 898, 568, 9863, 602, 7928, 2428, 3548, 619, 616, 25182, 563, 268, 1325, 24325, 2539, 519, 4473, 538, 1973, 4006, 543, 7378, 1310, 6980, 563, 268, 1358, 948, 1683, 1434, 2634, 1599, 563, 2704, 24325, 616, 1360, 1434, 2634, 5818, 619, 269, 1325, 24325, 2270, 10775, 1993, 15442, 514, 543, 700, 2275, 7568, 527, 710, 267, 5567, 602, 5818, 2634, 2534, 543, 949, 849, 2569, 519, 1981, 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, 268, 17685, 8590, 8417, 689, 24677, 547, 17685, 8590, 16169, 454, 11328, 322, 8590, 8417, 267, 689, 24677, 547, 17685, 8590, 16169, 301, 2317, 345, 267, 595, 563, 1103, 513, 6385, 3486, 1944, 3872, 1604, 267, 1053, 991, 547, 1020, 17685, 8590, 8417, 538, 1931, 547, 2087, 2792, 609, 11000, 3464, 543, 1053, 267, 543, 547, 3035, 17284, 538, 741, 2104, 3486, 11678, 563, 7437, 5385, 15961, 267, 6634, 540, 1053, 6108, 851, 540, 741, 2090, 693, 9945, 13383, 1169, 1032, 269, 17976, 337, 10688, 15961, 616, 8744, 3486, 11000, 3464, 2786, 883, 2199, 13460, 269, 2060, 9194, 267, 11668, 10688, 543, 2875, 10688, 267, 13460, 616, 811, 15520, 3309, 982, 2479, 1354, 563, 10932, 2982, 602, 15520, 3309, 2516, 616, 25864, 834, 3286, 3328, 2668, 1358, 2901, 1685, 1360, 21354, 610, 5393, 1134, 269, 13437, 568, 1970, 950, 2686, 3604, 616, 16053, 610, 26793, 269, 4980, 12147, 3309, 2516, 14133, 950, 3604, 616, 18931, 543, 7307, 607, 3407, 2959, 540, 5647, 543, 2208, 563, 11328, 322, 8590, 11576, 6638, 2306, 6280, 543, 2852, 1053, 11235, 547, 1451, 827, 824, 4529, 269, 898, 849, 2306, 873, 3222, 540, 519, 22464, 540, 741, 1378, 4529, 267, 799, 789, 949, 1491, 585, 11292, 269, 1656, 621, 2337, 1053, 5431, 2528, 607, 513, 3407, 4199, 269, 901, 1433, 6799, 519, 2686, 3631, 676, 8065, 267, 28822, 3089, 327, 7897, 267, 670, 1993, 23264, 324, 267, 570, 668, 5155, 320, 1513, 543, 26999, 9116, 607, 21941, 563, 1432, 781, 1007, 538, 713, 476, 275, 628, 7160, 286, 634, 12383, 676, 631, 14505, 13403, 744, 344, 600, 3385, 269, 9177, 7140, 2407, 5858, 689, 2518, 15114, 538, 3184, 476, 272, 547, 2518, 5718, 538, 3184, 476, 279, 269, 898, 7710, 519, 570, 8008, 302, 296, 2203, 267, 32129, 2006, 781, 6304, 585, 2686, 834, 7224, 1047, 257, 538, 2792, 282, 623, 20041, 781, 674, 268, 543, 595, 268, 27639, 282, 543, 519, 23834, 15477, 292, 1788, 676, 5600, 269, 7053, 267, 689, 513, 2359, 1448, 540, 2070, 267, 621, 6799, 519, 4998, 2175, 585, 18371, 2319, 17284, 563, 1607, 11741, 1433, 666, 3362, 581, 6594, 538, 513, 476, 278, 268, 610, 476, 279, 22173, 2165, 269, 898, 568, 14095, 609, 3946, 6823, 10467, 267, 2665, 543, 1909, 13807, 904, 689, 1483, 1272, 17685, 8590, 3871, 269, 27418, 2039, 689, 2069, 547, 1072, 1416, 267, 6725, 543, 2359, 910, 1022, 1747, 1141, 1053, 786, 991, 547, 454, 14303, 712, 333, 7967, 536, 4883, 523, 476, 1691, 546, 10402, 454, 302, 758, 1148, 1731, 601, 523, 1558, 737, 15659, 454, 7468, 643, 2329, 25411, 520, 642, 3233, 641, 454, 2704, 956, 2879, 601, 679, 11815, 529, 555, 7572, 2041, 345, 3073, 323, 0, 305, 908, 568, 2139, 950, 519, 3381, 814, 1044, 10519, 539, 563, 1607, 4183, 568, 711, 2139, 1318, 1631, 269, 7490, 2119, 1586, 2663, 563, 13775, 593, 7325, 476, 276, 267, 476, 1001, 273, 454, 14807, 1049, 17245, 4758, 606, 7650, 540, 519, 1101, 10570, 3926, 1033, 517, 730, 676, 519, 7330, 538, 476, 3707, 276, 693, 1715, 6792, 2059, 609, 824, 4255, 5340, 1282, 519, 3735, 476, 3707, 271, 781, 269, 634, 10969, 566, 602, 7018, 547, 519, 5545, 4872, 540, 670, 30090, 543, 18491, 30245, 568, 849, 4988, 1519, 513, 1101, 1688, 2272, 689, 513, 7198, 538, 670, 30090, 563, 310, 291, 29552, 299, 25893, 5655, 910, 13255, 267, 2029, 267, 543, 2489, 1719, 9413, 689, 519, 2250, 910, 3377, 516, 1564, 267, 32026, 1299, 32398, 8874, 689, 1250, 21517, 269, 0, 18933, 3424, 610, 2922, 286, 2334, 949, 581, 519, 2243, 10256, 609, 12445, 1949, 2307, 2933, 538, 2104, 563, 288, 1007, 1353, 676, 3173, 693, 519, 2160, 540, 17842, 10164, 550, 18815, 7010, 630, 3951, 306, 264, 10418, 543, 4530, 5523, 5267, 538, 21307, 1949, 267, 2966, 547, 3391, 10256, 1472, 6808, 795, 4461, 543, 10913, 3533, 267, 1223, 2965, 2014, 513, 10151, 10006, 538, 519, 1981, 540, 10913, 269, 834, 20524, 532, 602, 2951, 2401, 1344, 1949, 949, 581, 1434, 585, 2951, 942, 855, 711, 585, 2949, 3106, 729, 26648, 1317, 789, 616, 3622, 9277, 547, 1683, 2640, 2437, 3081, 7905, 13391, 615, 19869, 592, 327, 2967, 267, 519, 8689, 540, 519, 594, 4811, 10418, 543, 4530, 5523, 538, 519, 4972, 540, 6406, 7177, 563, 8794, 2780, 13502, 540, 8905, 5583, 1949, 267, 19869, 592, 327, 2967, 779, 2319, 1336, 8009, 4220, 8445, 539, 5612, 1310, 10256, 941, 5483, 540, 6808, 20316, 543, 4957, 741, 11507, 269, 834, 2467, 729, 606, 2799, 1377, 540, 2534, 607, 1004, 11313, 321, 9229, 856, 685, 547, 21271, 20316, 2437, 3081, 19869, 592, 327, 2967, 910, 585, 1383, 267, 607, 10256, 2451, 513, 795, 25428, 1863, 3118, 585, 2749, 10754, 543, 11402, 8009, 17376, 821, 28963, 269, 1717, 267, 1317, 10256, 3914, 741, 10278, 19692, 267, 519, 18913, 6749, 538, 8009, 1981, 5555, 4831, 4472, 1734, 519, 4505, 10006, 563, 301, 545, 565, 548, 654, 22844, 1923, 31823, 2336, 19138, 5036, 1007, 3845, 2594, 585, 2564, 20473, 3560, 454, 1724, 269, 6021, 269, 1001, 278, 1923, 8592, 22846, 6925, 454, 12867, 1412, 12248, 6517, 262, 4534, 12777, 4534, 547, 1265, 513, 1732, 1259, 547, 1852, 5230, 6808, 454, 1015, 269, 5400, 269, 1001, 278, 1923, 8419, 9533, 2160, 454, 5522, 1218, 543, 13479, 946, 519, 11747, 11676, 8646, 547, 4368, 3327, 8166, 267, 9427, 621, 689, 519, 5790, 543, 14291, 621, 883, 13947, 269, 13641, 2801, 723, 23125, 856, 513, 1259, 547, 2333, 519, 4398, 540, 3327, 30651, 269, 1358, 5531, 1034, 540, 741, 11676, 8646, 883, 513, 3440, 11057, 2890, 4818, 3477, 1572, 519, 7510, 1066, 1355, 267, 799, 789, 6360, 609, 513, 1164, 2199, 5834, 540, 3327, 8166, 269, 589, 2319, 540, 3744, 693, 23134, 2160, 267, 519, 31257, 26323, 585, 3163, 267, 18628, 2160, 543, 519, 7665, 1773, 1678, 4659, 540, 4437, 17190, 723, 19586, 1194, 519, 13655, 540, 875, 519, 7510, 1066, 1355, 568, 19632, 269, 1452, 4030, 666, 948, 547, 11653, 7031, 602, 4894, 811, 3327, 8166, 689, 519, 5790, 1247, 6721, 811, 1426, 563, 288, 8337, 4541, 454, 5978, 12058, 2777, 5393, 1950, 27090, 11387, 267, 4171, 2143, 3889, 616, 1869, 7361, 7164, 269, 901, 568, 2523, 3020, 585, 519, 865, 10777, 19548, 16794, 540, 11864, 267, 1141, 1851, 824, 1919, 5075, 267, 4555, 610, 8901, 10066, 616, 1373, 17223, 269, 3371, 519, 3652, 676, 799, 8229, 2281, 616, 4448, 547, 1142, 824, 616, 1152, 14356, 6956, 269, 589, 2319, 540, 3744, 1472, 5651, 6308, 29581, 560, 320, 539, 614, 693, 519, 7671, 25206, 4669, 7665, 23851, 4659, 585, 11020, 3194, 543, 4477, 2940, 5576, 28704, 630, 295, 3518, 1245, 339, 2160, 538, 12670, 264, 723, 1631, 4362, 513, 19599, 5730, 8229, 1591, 14479, 4806, 538, 519, 851, 540, 519, 19548, 16794, 602, 568, 3743, 585, 7259, 532, 519, 1367, 3662, 610, 1480, 538, 2230, 563, 763, 3173, 1867, 2228, 538, 7186, 630, 19913, 28704, 1696, 620, 1421, 476, 1001, 278, 269, 16547, 4689, 5348, 8985, 18570, 538, 31443, 1303, 528, 327, 1400, 16794, 267, 20396, 281, 476, 1015, 269, 9818, 279, 14672, 1155, 13301, 4962, 264, 602, 5348, 22663, 538, 2483, 2662, 529, 27128, 19922, 7154, 630, 310, 14875, 264, 6949, 2209, 616, 1031, 547, 1118, 6263, 2890, 2000, 553, 619, 267, 8596, 267, 17176, 267, 31425, 543, 824, 3457, 269, 1452, 6263, 3889, 7048, 593, 513, 2483, 8794, 16600, 9724, 30303, 540, 8955, 543, 1535, 11920, 5982, 267, 3744, 693, 519, 7665, 23851, 4659, 540, 17747, 8838, 923, 630, 294, 31186, 267, 5125, 264, 3576, 25135, 32718, 540, 519, 5618, 652, 6475, 5163, 3330, 513, 4396, 1570, 547, 4266, 269, 634, 6475, 5163, 16768, 1152, 476, 16020, 5479, 2195, 540, 519, 5479, 628, 540, 513, 2034, 1354, 621, 535, 20557, 267, 4259, 513, 1007, 2594, 540, 1480, 12588, 547, 7001, 16600, 9724, 3157, 3330, 17571, 2336, 2691, 1535, 17530, 19542, 5196, 4396, 2326, 610, 1804, 6675, 267, 606, 6475, 568, 14593, 2476, 689, 922, 3312, 1747, 2282, 519, 13540, 540, 519, 11046, 267, 6028, 513, 8559, 2483, 2690, 519, 1101, 942, 267, 21575, 723, 6707, 708, 3042, 18700, 6419, 19280, 538, 513, 1617, 11717, 549, 545, 1570, 269, 1452, 2326, 616, 2808, 3810, 9621, 10457, 585, 2104, 1239, 4859, 2923, 269, 634, 3173, 941, 2111, 547, 6961, 741, 4681, 1210, 2189, 7061, 8596, 602, 941, 2919, 693, 30239, 2160, 543, 602, 666, 5659, 13590, 4610, 593, 519, 6289, 10309, 4336, 269, 634, 2164, 1107, 5833, 676, 3744, 689, 519, 2160, 540, 30239, 779, 4972, 540, 8212, 267, 519, 18230, 15089, 657, 7220, 4659, 267, 519, 2160, 540, 8053, 335, 749, 1512, 543, 1896, 20682, 689, 2160, 8303, 4149, 659, 26792, 1107, 941, 5063, 3370, 538, 519, 4760, 7186, 563, 11372, 11717, 549, 923, 616, 2326, 602, 8195, 2746, 547, 3167, 543, 6419, 4610, 269, 1452, 1079, 3601, 616, 10355, 1336, 1927, 267, 543, 741, 5916, 2483, 866, 269, 6021, 269, 1001, 278, 1923, 7926, 5240, 454, 1321, 269, 6021, 269, 1001, 278, 1923, 7926, 5240, 454, 6187, 269, 6021, 269, 1001, 278, 1923, 7926, 5240, 454, 2420, 269, 6021, 269, 1001, 278, 1923, 5020, 7070, 454, 2420, 269, 6021, 269, 1001, 278, 1923, 6481, 7177, 454, 2420, 269, 6021, 269, 1001, 278, 1923, 8212, 543, 18395, 0, 272, 269, 19291, 654, 269, 13177, 3989, 519, 2553, 540, 11660, 5004, 910, 519, 9836, 1353, 540, 3347, 1063, 1004, 543, 4247, 585, 519, 3483, 540, 2699, 30472, 532, 519, 960, 1184, 547, 2333, 4398, 269, 476, 273, 269, 1261, 2919, 2185, 3741, 547, 2333, 4398, 538, 519, 9036, 4398, 269, 513, 269, 10576, 7454, 13756, 281, 5530, 543, 2268, 875, 4600, 1685, 741, 6009, 630, 6748, 942, 7146, 2173, 10056, 1353, 2409, 264, 543, 1287, 2697, 519, 2409, 602, 616, 1034, 3608, 269, 536, 269, 9208, 21952, 30332, 281, 26467, 1518, 519, 1007, 2409, 540, 7900, 4247, 883, 2854, 960, 3652, 269, 524, 269, 26969, 4600, 1983, 543, 5759, 547, 2115, 543, 4247, 281, 28392, 2824, 4600, 543, 5721, 873, 547, 1685, 519, 4247, 2687, 547, 519, 3652, 543, 5773, 3964, 538, 1900, 1079, 269, 546, 563, 28324, 543, 2773, 281, 19372, 513, 4023, 610, 11807, 1377, 540, 2773, 585, 513, 4305, 543, 1287, 1020, 513, 2628, 1062, 602, 2488, 513, 2362, 8007, 585, 2773, 1657, 519, 11807, 1377, 563, 274, 269, 3131, 13177, 519, 1034, 3608, 6498, 540, 4074, 1223, 1655, 581, 5462, 676, 3621, 2359, 476, 275, 269, 8177, 540, 13177, 270, 26199, 5004, 513, 269, 5384, 543, 5163, 2090, 281, 5530, 519, 1259, 4600, 1685, 741, 4247, 267, 5531, 782, 540, 519, 13016, 1702, 22234, 676, 4600, 267, 543, 4603, 609, 2081, 540, 5355, 4305, 2773, 1775, 269, 2368, 9946, 5833, 4679, 538, 2773, 855, 1705, 711, 2671, 12374, 609, 4600, 998, 13755, 4926, 269, 13797, 269, 20709, 4121, 602, 4679, 538, 2773, 1419, 5921, 7864, 6009, 543, 513, 3463, 540, 2482, 26160, 269, 25831, 269, 634, 811, 7463, 6009, 2968, 454, 4306, 11070, 7728, 31266, 2207, 17269, 19860, 20793, 22432, 476, 275, 630, 2562, 22552, 308, 6311, 3036, 24912, 31266, 2207, 17269, 19860, 20793, 22432, 476, 278, 264, 11660, 5004, 2507, 570, 28692, 681, 9128, 2207, 9970, 661, 8025, 12903, 5442, 8028, 3582, 16110, 1143, 538, 6657, 16110, 779, 1646, 540, 519, 3001, 23740, 12966, 4957, 5663, 2853, 11014, 269, 4014, 519, 1847, 547, 2527, 2504, 729, 513, 2883, 1967, 585, 16110, 267, 972, 941, 1082, 1480, 543, 1514, 4539, 585, 1010, 4600, 269, 634, 5187, 5874, 540, 519, 960, 1184, 941, 27865, 517, 748, 267, 4611, 538, 1804, 5666, 540, 9441, 24826, 267, 15534, 2465, 1143, 267, 543, 2489, 771, 20880, 269, 1677, 2232, 891, 2042, 267, 16110, 23060, 13848, 543, 4389, 519, 3259, 540, 519, 960, 1485, 676, 835, 5662, 269, 901, 3210, 547, 9441, 771, 20880, 729, 22579, 968, 293, 867, 1143, 6100, 630, 26213, 538, 1257, 593, 533, 269, 3393, 268, 5379, 994, 13775, 593, 3967, 476, 1691, 267, 476, 1001, 278, 454, 338, 1828, 8261, 4207, 2359, 476, 278, 628, 7160, 795, 2158, 269, 9509, 3758, 693, 5291, 2517, 11687, 23810, 11740, 4318, 340, 4882, 1828, 17907, 783, 9762, 3637, 31193, 268, 278, 1862, 0, 8138, 339, 3555, 21661, 2098, 14058, 630, 295, 994, 1103, 713, 2979, 4976, 267, 1053, 4194, 476, 3607, 2042, 538, 799, 513, 476, 273, 7857, 1297, 568, 10208, 539, 689, 513, 2789, 540, 476, 1911, 269, 7151, 281, 476, 1220, 268, 3393, 563, 274, 14358, 476, 274, 20042, 454, 12850 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 2368, 8037, 10124, 1331, 1384, 320, 269, 5682, 22908, 910, 17164, 730, 31241, 3591, 11677, 8101, 13980, 540, 11811, 267, 4227, 2627, 20359, 543, 19086, 3002, 6532, 2360, 8195, 780, 321, 269, 645, 3930, 342, 2297, 910, 12430, 1244, 11306, 12630, 609, 5065, 10664, 18448, 6656, 8928, 2059, 4155, 2515, 2357, 2471, 267, 5009, 22467, 1674, 267, 11159, 29212, 267, 543, 20239, 648, 9712, 566, 3157, 780, 322, 269, 623, 5387, 17362, 906, 910, 3131, 7065, 7992, 2326, 5512, 1216, 21774, 998, 21490, 7252, 267, 5807, 15780, 22507, 543, 10970, 11868, 22297, 14700, 2152, 780, 323, 269, 9791, 25984, 23725, 832, 910, 23889, 1216, 4703, 267, 19126, 267, 543, 18009, 4115, 10889, 619, 1369, 4683, 8916, 10597, 8733, 14479, 267, 9265, 5726, 267, 543, 2890, 743, 574, 1738, 993, 601, 1640, 566, 780, 9654, 269, 8865, 5525, 543, 7464, 21509, 6201, 692, 6624, 4872, 1472, 519, 1158, 723, 8045, 5499, 4683, 12775, 1062, 6272, 5466, 2189, 13865, 2591, 269, 24167, 891, 8320, 2488, 3407, 4030, 883, 1655, 2853, 543, 1761, 25354, 269, 1280, 3236, 267, 10515, 32683, 781, 13192, 10767, 560, 9457, 17839, 26779, 3818, 1922, 23341, 4544, 25984, 5624, 2429, 519, 2749, 4099, 267, 3927, 5883, 726, 12320, 658, 6360, 1981, 1247, 3246, 16351, 29319, 269, 11531, 267, 14135, 781, 13235, 27347, 5358, 3854, 3278, 593, 4540, 12324, 5121, 267, 13321, 873, 883, 7524, 2146, 32387, 6353, 676, 18932, 3039, 2044, 543, 8476, 12716, 9029, 780, 23997, 269, 8892, 19648, 543, 12694, 692, 2026, 2916, 1689, 5170, 11851, 532, 7096, 5222, 593, 2518, 1216, 2200, 267, 2417, 1382, 3646, 1058, 1445, 593, 17975, 16762, 3631, 5827, 540, 13830, 1875, 31059, 6384, 2404, 609, 3665, 4365, 2621, 269, 3958, 267, 3384, 7347, 3375, 1489, 2645, 6908, 23164, 519, 5542, 543, 11938, 540, 10316, 15454, 25984, 5989, 3681, 3788, 14063, 585, 4264, 4683, 12775, 1062, 1374, 269, 20985, 4497, 906, 5473, 14519, 267, 2872, 8639, 267, 19174, 267, 543, 2950, 616, 15747, 538, 14027, 13261, 10350, 10850, 17841, 547, 9687, 2825, 2175, 543, 6848, 2115, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5978, 2319, 814, 5318, 1995, 538, 3919, 267, 6388, 543, 2359, 540, 1804, 3486, 1382, 931, 677, 807, 543, 5849, 602, 1699, 1382, 3584, 786, 2141, 581, 17411, 896, 5207, 2298, 4441, 269, 634, 6791, 540, 938, 5520, 543, 5234, 2882, 1851, 1866, 519, 10459, 540, 6406, 7177, 267, 10334, 267, 11061, 267, 10281, 14347, 267, 7025, 4702, 543, 6713, 7177, 563, 15100, 24436, 12243, 281, 8614, 2335, 8291, 667, 984, 337, 785, 339, 1315, 918, 310, 289, 454, 3849, 2194, 566, 540, 4826, 18242, 543, 5842, 2787, 7010, 547, 595, 2100, 609, 8693, 7827, 630, 303, 3918, 303, 2752, 3633, 264, 11628, 12124, 4826, 5004, 547, 31478, 569, 3550, 24872, 532, 4826, 10866, 630, 328, 289, 987, 12850, 264, 19848, 8328, 29895, 17667, 3281, 2432, 543, 11202, 11077, 538, 519, 12124, 4826, 18888, 630, 3008, 298, 7838, 3041, 264, 2667, 564, 5004, 11150, 585, 29828, 518, 7010, 630, 306, 4932, 288, 264, 12539, 568, 14559, 281, 3245, 654, 770, 1168, 831, 547, 6052, 630, 290, 2752, 3041, 19616, 264, 13068, 4826, 3245, 14997, 11914, 338, 630, 290, 310, 4942, 12609, 264, 13068, 4826, 3245, 14997, 11914, 338, 630, 290, 310, 4942, 12609, 264, 1849, 3151, 519, 6820, 715, 22021, 31230, 630, 12710, 302, 8008, 264, 10395, 1441, 7621, 573, 894, 543, 18143, 9615, 540, 29828, 720, 3718, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31413, 667, 1778, 720, 3590, 5071, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 7025, 1315, 4826, 18242, 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, 898, 729, 513, 6505, 543, 13566, 1554, 950, 15207, 543, 1010, 1362, 4682, 593, 513, 2470, 3802, 676, 519, 5757, 269, 4256, 4116, 267, 15516, 269, 8055, 267, 11329, 856, 782, 12204, 540, 4277, 1919, 910, 26414, 10977, 267, 3165, 17259, 267, 543, 1256, 930, 16015, 1666, 6362, 538, 519, 7943, 269, 2701, 1287, 5828, 547, 519, 1053, 543, 4280, 267, 968, 4692, 4896, 2995, 803, 1945, 9670, 827, 1216, 9495, 692, 20755, 3240, 6659, 1010, 1688, 23362, 269, 968, 296, 917, 256, 1411, 666, 2322, 513, 7484, 26700, 1524, 538, 519, 5757, 267, 543, 621, 786, 6445, 909, 17373, 646, 608, 13094, 780, 16039, 269, 8055, 20493, 269, 968, 6546, 781, 1318, 267, 15207, 256, 4826, 11394, 922, 1378, 1377, 267, 11423, 1022, 8708, 8449, 2394, 621, 10301, 519, 1283, 269, 3767, 267, 1934, 781, 1776, 2243, 585, 596, 782, 269, 6904, 3948, 2306, 811, 2631, 281, 1412, 2171, 1336, 15798, 17850, 338, 593, 938, 1153, 19209, 10086, 610, 2048, 2171, 1336, 15798, 17850, 338, 2282, 519, 694, 1662, 648, 286, 262, 10640, 7197, 3214, 22551, 539, 856, 267, 968, 5353, 553, 17850, 338, 693, 519, 694, 1662, 648, 10590, 1809, 2370, 21667, 11688, 18469, 1354, 9870, 1200, 1688, 7444, 269, 968, 3719, 12103, 262, 600, 2223, 1352, 1767, 24617, 267, 968, 572, 553, 17850, 338, 616, 2356, 8900, 267, 865, 875, 1131, 649, 1265, 7068, 3330, 873, 952, 649, 13603, 873, 909, 2282, 519, 4262, 12482, 25444, 6743, 693, 1142, 824, 538, 993, 10270, 618, 269, 4634, 15516, 269, 8055, 21330, 1237, 1324, 569, 269, 968, 2750, 3250, 550, 8343, 267, 21667, 256, 12292, 1419, 4734, 741, 16115, 3297, 1310, 789, 5884, 610, 1847, 2476, 269, 1924, 3006, 267, 596, 1522, 2965, 1265, 2713, 2831, 1869, 7610, 1746, 891, 16115, 952, 2175, 11863, 14325, 2026, 789, 4797, 6972, 267, 789, 3357, 2066, 606, 8966, 8289, 269, 1703, 729, 606, 1884, 8876, 513, 1804, 1835, 3518, 1082, 2053, 8273, 982, 3294, 267, 16144, 2509, 513, 1507, 8559, 538, 513, 3529, 17657, 269, 2271, 29098, 267, 15516, 269, 8055, 15054, 2943, 1776, 2243, 269, 968, 7617, 3948, 4667, 521, 650, 1512, 281, 1412, 2304, 1884, 5645, 1055, 513, 2462, 26889, 20105, 10086, 610, 2048, 2304, 1884, 5645, 1055, 513, 2462, 1835, 3518, 286, 262, 4208, 9495, 692, 1607, 942, 267, 3025, 12943, 18390, 267, 968, 12901, 338, 1810, 1405, 4163, 32409, 282, 789, 4163, 1426, 5536, 899, 1835, 29304, 10590, 3807, 1287, 267, 570, 20207, 3773, 31113, 267, 968, 4517, 3314, 1018, 6004, 269, 9652, 5143, 721, 2063, 3018, 827, 17605, 1373, 11212, 2178, 286, 1358, 666, 12740, 3615, 476, 2004, 2053, 18219, 982, 2933, 15323, 4263, 519, 1439, 540, 519, 1554, 267, 2407, 540, 1007, 1702, 543, 2833, 267, 519, 1895, 2893, 896, 513, 1804, 3529, 267, 4743, 13110, 855, 13854, 269, 3973, 10393, 267, 513, 29160, 1085, 584, 3072, 1524, 519, 17657, 267, 8066, 5196, 513, 6263, 1035, 1941, 1063, 922, 533, 9155, 269, 654, 10248, 5702, 267, 15207, 7948, 1405, 948, 5128, 269, 2060, 513, 3765, 2151, 31773, 1989, 514, 267, 646, 20747, 1540, 856, 267, 968, 16100, 267, 16764, 256, 2334, 29160, 568, 2469, 547, 2119, 543, 3548, 602, 5458, 1216, 28447, 15323, 14367, 2828, 561, 13774, 1117, 2295, 1176, 1247, 15516, 269, 8055, 669, 3089, 1194, 28663, 269, 9282, 519, 7045, 4769, 1405, 2490, 856, 4010, 607, 12479, 267, 789, 4121, 3407, 4245, 827, 519, 13300, 540, 2470, 267, 2565, 3206, 267, 543, 1818, 24534, 7422, 1759, 593, 3621, 5013, 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, 314, 15288, 21815, 2207, 316, 2290, 540, 519, 1739, 5220, 568, 20060, 839, 673, 269, 6904, 835, 568, 621, 888, 302, 6877, 912, 268, 22054, 589, 281, 834, 3891, 2322, 513, 14912, 538, 519, 17002, 4799, 268, 22054, 645, 281, 834, 3891, 2322, 513, 6656, 540, 1957, 538, 519, 17002, 3010, 314, 22923, 316, 589, 14912, 1281, 711, 4866, 538, 513, 17002, 563, 763, 2626, 568, 22054, 589, 780, 314, 15288, 21815, 2207, 316, 2986, 519, 2630, 5220, 267, 799, 835, 1281, 2608, 2254, 265, 1118, 2631, 888, 302, 6877, 912, 268, 22054, 589, 281, 834, 2171, 6394, 16115, 593, 519, 15989, 4840, 268, 22054, 645, 281, 834, 2171, 6394, 16115, 593, 519, 11824, 5016, 314, 22923, 316, 26425, 338, 616, 1336, 2059, 13272, 6050, 267, 1247, 1876, 985, 616, 1634, 547, 723, 6371, 563, 763, 2626, 568, 22054, 589, 780, 314, 15288, 21815, 2207, 316, 7994, 519, 4845, 602, 4422, 1996, 1455, 2631, 563, 302, 6877, 912, 268, 22054, 589, 281, 834, 288, 17178, 666, 1404, 519, 1535, 7901, 476, 11740, 609, 476, 275, 27196, 1317, 621, 814, 476, 279, 7953, 4840, 268, 22054, 645, 281, 834, 19177, 540, 721, 666, 1404, 519, 1535, 7901, 476, 11740, 1927, 1317, 621, 666, 1921, 476, 275, 27196, 5016, 314, 22923, 2639, 306, 3671, 619, 616, 711, 5827, 540, 4730, 3381, 3756, 267, 607, 789, 3668, 519, 5042, 2702, 543, 1620, 547, 798, 865, 563, 763, 2626, 568, 22054, 589, 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, 3848, 476, 272, 281, 4985, 547, 918, 26234, 24692, 910, 589, 12411, 8684, 543, 19196, 1746, 4826, 22505, 692, 296, 269, 4197, 918, 26234, 24692, 17943, 692, 288, 269, 9502, 540, 918, 26234, 24692, 692, 298, 26234, 24692, 568, 513, 13858, 1216, 2534, 602, 10905, 2609, 540, 17774, 532, 543, 7297, 7288, 532, 269, 19893, 11878, 593, 513, 11741, 267, 26255, 656, 4604, 1247, 1373, 15504, 2059, 676, 513, 5179, 29539, 610, 10814, 1062, 269, 9521, 12687, 24692, 610, 7297, 7288, 532, 267, 1141, 5171, 1796, 20005, 267, 12597, 4580, 619, 2226, 513, 9054, 9934, 2990, 2429, 741, 2196, 269, 901, 2539, 4099, 540, 8904, 2306, 12597, 24692, 811, 3015, 585, 14987, 543, 2636, 585, 11141, 18902, 951, 2899, 27058, 780, 289, 269, 3778, 543, 12472, 540, 918, 26234, 24692, 692, 9199, 1424, 922, 5072, 1394, 547, 519, 2038, 476, 3192, 271, 338, 267, 12597, 24692, 7153, 607, 606, 4244, 547, 2757, 1216, 31562, 950, 17774, 619, 8179, 2081, 547, 2972, 6329, 1282, 9350, 4365, 2175, 269, 3683, 942, 267, 621, 7960, 883, 513, 3982, 1216, 7328, 267, 19788, 12439, 5001, 1813, 547, 922, 10333, 543, 6422, 2470, 269, 4653, 267, 8013, 12597, 24692, 2621, 13686, 9845, 7900, 6946, 15361, 543, 25224, 338, 267, 11319, 519, 6302, 540, 1018, 781, 2009, 593, 513, 12597, 4580, 780, 290, 269, 11588, 540, 918, 26234, 24692, 692, 298, 26234, 24692, 19646, 3875, 2168, 543, 2790, 1072, 2640, 269, 4284, 1227, 267, 621, 10597, 4295, 4222, 267, 1850, 4887, 3159, 267, 543, 9025, 16608, 269, 22895, 958, 267, 621, 8992, 2566, 8323, 267, 1582, 21873, 267, 543, 1514, 4296, 269, 5047, 267, 2502, 538, 9205, 2238, 899, 12597, 24692, 11942, 2825, 4656, 543, 7071, 780, 2862, 269, 19805, 519, 9406, 16811, 585, 918, 26234, 24692, 692, 288, 269, 29922, 513, 2672, 3386, 918, 26234, 4580, 692, 26452, 2188, 2097, 883, 1404, 950, 16116, 856, 519, 4998, 12597, 4580, 1384, 272, 269, 10670, 1676, 5288, 269, 11628, 681, 3187, 281, 853, 6621, 12545, 3335, 4183, 6677, 1511, 6272, 585, 6617, 543, 29779, 17371, 2326, 585, 4313, 269, 17957, 267, 4359, 12545, 2709, 8476, 1852, 543, 30506, 998, 5857, 704, 8728, 543, 12432, 4070, 563, 273, 269, 8274, 12025, 543, 13379 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 273, 269, 273, 6184, 6081, 6441, 833, 6178, 2718, 281, 634, 28249, 540, 5450, 29440, 543, 31701, 14423, 692, 7072, 692, 11900, 6081, 6438, 15202, 630, 2862, 306, 1070, 3957, 1310, 922, 3119, 1198, 528, 7378, 267, 4249, 513, 2629, 1909, 538, 15725, 10894, 3157, 971, 607, 7280, 19718, 267, 3940, 10282, 267, 543, 1648, 4859, 269, 3683, 519, 2250, 1906, 5756, 267, 3573, 1382, 814, 20114, 594, 3041, 781, 6946, 2078, 609, 10172, 2066, 1585, 2203, 7103, 269, 901, 1016, 15492, 786, 5490, 883, 519, 7636, 6127, 5817, 713, 4276, 267, 10223, 1312, 3140, 23484, 543, 5969, 12967, 7835, 538, 519, 2361, 269, 1284, 786, 849, 2263, 519, 6286, 540, 891, 8906, 585, 1480, 1072, 543, 15325, 7459, 780, 23208, 21887, 281, 3245, 654, 768, 338, 547, 18972, 692, 1103, 476, 2735, 279, 267, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 4719, 626, 595, 2106, 628, 807, 8230, 27267, 1500, 24657, 950, 1352, 4362, 602, 4227, 546, 2378, 268, 273, 5444, 2534, 23060, 519, 14438, 540, 17494, 269, 21096, 293, 268, 273, 1958, 3941, 606, 7378, 13805, 4630, 860, 826, 267, 11021, 513, 1761, 3095, 1063, 594, 3041, 543, 10172, 630, 298, 523, 27267, 1696, 620, 1421, 476, 1960, 274, 1040, 4595, 1287, 267, 2147, 2164, 723, 1044, 4767, 538, 824, 2249, 267, 1519, 4829, 13733, 543, 8983, 267, 4396, 4328, 594, 3041, 607, 513, 24721, 13374, 7133, 10172, 630, 5141, 3599, 1696, 620, 1421, 476, 1220, 272, 282, 4591, 7999, 31000, 1696, 620, 1421, 476, 1220, 274, 1040, 1452, 2038, 2090, 17275, 1719, 538, 1620, 875, 594, 3041, 7506, 10172, 693, 519, 7636, 1377, 543, 2436, 13389, 713, 13374, 1223, 1291, 547, 3209, 4550, 268, 1645, 11257, 780, 300, 12817, 11202, 1811, 281, 1323, 21091, 7348, 692, 4263, 519, 4295, 540, 594, 3041, 6013, 519, 7378, 270, 5456, 293, 268, 272, 630, 1231, 6081, 6438, 2208, 3815, 476, 272, 264, 13805, 267, 799, 31591, 19654, 3334, 3842, 8485, 800, 3175, 22107, 3547, 5473, 1896, 10252, 1162, 630, 8201, 476, 272, 1040, 6206, 5716, 1331, 28697, 274, 298, 630, 874, 6664, 520, 573, 2643, 16394, 20738, 476, 274, 268, 7219, 848, 1070, 13019, 339, 630, 2889, 12888, 32635, 645, 1070, 570, 3036, 290, 272, 630, 339, 13759, 540, 22850, 18081, 11142, 1950, 476, 272, 1070, 29332, 311, 302, 16606, 2188, 267, 543, 590, 277, 32635, 269, 8625, 267, 789, 1852, 1898, 10408, 3252, 1644, 547, 8770, 15392, 267, 2566, 4187, 267, 12093, 267, 543, 2949, 11248, 531, 6668, 780, 314, 11900, 1068, 7612, 476, 272, 827, 1934, 6540, 288, 3101, 3194, 28454, 543, 13891, 919, 692, 24965, 1027, 594, 3041, 5012, 547, 2799, 14438, 998, 2789, 18817, 267, 930, 1869, 896, 7521, 269, 3371, 649, 1865, 1614, 2101, 2127, 540, 7634, 1369, 594, 3041, 543, 741, 1764, 593, 10172, 1384, 272, 269, 715, 22021, 11576, 532, 543, 6052, 5851, 23980, 454, 15152, 1608, 7595, 19231, 2175, 610, 4389, 594, 3041, 2157, 267, 2281, 4283, 513, 1533, 1634, 607, 844, 625, 12412, 267, 6353, 676, 8519, 10894, 2557, 267, 8476, 5027, 7816, 4390, 267, 543, 2799, 1313, 15047, 344, 1107, 519, 12159, 543, 9657, 540, 8697, 5946, 543, 31759, 630, 17442, 8690, 324, 1299, 17939, 520, 7236, 267, 476, 1001, 273, 1040, 2372, 625, 1417, 2281, 1732, 2226, 11646, 8699, 936, 942, 267, 7551, 23646, 1524, 2085, 5829, 21324, 269, 1717, 267, 621, 3788, 21792, 875, 4010, 4389, 594, 3041, 12153, 844, 625, 12412, 1510, 1802, 1424, 17672, 2427, 2360, 2404, 609, 22926, 563, 273, 269, 13262, 18650, 543, 8426, 20904, 454, 23859, 311, 302, 16606, 2188, 1404, 11358, 5107, 538, 5009, 2566, 4187, 2390, 4389, 594, 3041, 15202, 269, 1358, 19334, 6090, 3743, 585, 15934, 2504, 267, 5027, 3441, 3210, 267, 543, 30091, 630, 24938, 1231, 1696, 620, 1421, 476, 1001, 277, 1040, 2755, 909, 28832, 540, 891, 8878, 6127, 666, 2149, 1996, 2825, 1202, 6699, 267, 5312, 11852, 949, 3565, 547, 10510, 3394, 8412, 1813, 547, 15176, 13178, 540, 3348, 22083, 748, 2281, 269, 4935, 267, 11495, 519, 1318, 3666, 1063, 8825, 6114, 543, 2860, 6604, 4564, 513, 1713, 4161, 538, 3384, 594, 3041, 2861, 9354, 2994, 563, 274, 269, 3115, 8793, 9577, 454, 11847, 3174, 27499, 8101, 2200, 2838, 585, 30717, 5826, 267, 3056, 547, 4123, 26160, 1063, 905, 322, 1495, 640, 543, 15325, 269, 25841, 594, 3041, 1419, 2164, 538, 16607, 12093, 543, 6905, 1272, 19104, 267, 855, 2436, 21022, 10285, 3977, 2047, 8309, 547, 12675, 14438, 3788, 11786, 630, 8512, 16466, 1696, 620, 1421, 476, 1001, 275, 1040, 4329, 3408, 568, 2877, 547, 12172, 1757, 1275, 538, 713, 2796, 780, 9558, 331, 1049, 20480, 543, 8892, 19648, 692, 6597, 3539, 594, 3041, 3091, 3407, 4030, 883, 4909, 6211, 3741, 12044, 10172, 543, 2488, 9621, 9072, 585, 2104, 7459, 6322, 693, 14178, 2635, 14438, 269, 11048, 267, 13657, 1590, 581, 27361, 950, 970, 1905, 565, 908, 4681, 689, 3662, 3631, 547, 3425, 269, 5274, 8062, 14139, 14278, 1670, 8069, 13389, 594, 3041, 3334, 630, 324, 3052, 1421, 1558, 845, 514, 267, 22850, 18081, 11142, 264, 723, 3254, 6404, 4093, 3976, 2484, 630, 21574, 7588, 2967, 1696, 620, 1421, 476, 1001, 277, 1040, 4475, 267, 4797, 2596, 2257, 1382, 26819, 532, 519, 16082, 540, 594, 3041, 7939, 2066, 3309, 7103, 543, 4791, 13753, 12570, 3106, 543, 12117, 616, 16122, 585, 14027, 938, 1620, 540, 594, 3041, 538, 519, 2796, 540, 1480, 10172, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 14483, 12983, 538, 28544, 257, 5497, 585, 4648, 543, 3173, 538, 519, 2361, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 547, 28544, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 273, 269, 18726, 31469, 540, 28544, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 273, 269, 272, 269, 14600, 13578, 6319, 13592, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 273, 269, 273, 269, 6184, 6081, 6438, 15202, 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, 763, 1543, 1058, 2832, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 538, 519, 1888, 269, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 269, 0, 7689, 476, 1015, 281, 4197, 7736, 6361, 21509, 5463, 2888, 910, 590, 11691, 6153, 25742, 547, 3776, 5617, 3437, 623, 1115, 692, 5331, 2348, 513, 11537, 4620, 945, 781, 1044, 676, 707, 2427, 2429, 707, 6689, 9035, 269, 1411, 8057, 909, 1927, 267, 4687, 9118, 8823, 267, 17409, 267, 543, 1256, 17229, 269, 1809, 1631, 267, 1813, 547, 2025, 2085, 267, 2068, 267, 610, 6727, 7063, 267, 789, 1522, 3068, 7965, 7900, 3232, 2238, 610, 7680, 3586, 1928, 269, 1306, 1454, 607, 649, 6999, 938, 24566, 2828, 1223, 2661, 11014, 267, 972, 2501, 513, 942, 950, 2352, 3664, 991, 547, 581, 1500, 827, 741, 2564, 2126, 543, 2298, 540, 1272, 269, 901, 3992, 786, 948, 596, 1174, 1018, 4422, 883, 891, 9157, 5079, 1107, 1634, 607, 1439, 6361, 3734, 3375, 6194, 1107, 2523, 1369, 519, 2796, 540, 12363, 1416, 780, 1432, 1281, 621, 1611, 547, 1683, 12363, 1416, 888, 28350, 1400, 1416, 4016, 547, 519, 2027, 3007, 543, 6351, 2016, 547, 2831, 683, 2130, 519, 1439, 540, 741, 2729, 269, 16076, 514, 12579, 960, 5702, 609, 3885, 1282, 713, 4101, 1974, 547, 2327, 1312, 2168, 4313, 543, 3929, 1489, 585, 10130, 543, 741, 1480, 15274, 269, 1358, 949, 2709, 1585, 5574, 547, 13468, 1928, 267, 2333, 10688, 267, 610, 2087, 2949, 8788, 5103, 19394, 1072, 2175, 780, 3963, 616, 1439, 6361, 3734, 3664, 865, 2182, 888, 13356, 4575, 2436, 547, 3136, 610, 24044, 2564, 7459, 2282, 519, 1439, 540, 513, 4620, 781, 1272, 3322, 20604, 2789, 2188, 899, 23567, 267, 1761, 7092, 267, 18083, 267, 543, 2123, 4978, 269, 1452, 9270, 1419, 18427, 2178, 4664, 267, 4946, 6988, 547, 519, 1184, 269, 5015, 267, 6848, 8155, 267, 2686, 2418, 267, 543, 1920, 6384, 666, 3310, 875, 1004, 13498, 543, 6023, 971, 10347, 6927, 780, 4131, 781, 2263, 606, 1383, 9183, 912, 22428, 707, 2915, 7665, 814, 5030, 513, 1279, 543, 6126, 1272, 855, 5063, 3323, 10010, 609, 12263, 269, 6736, 3843, 1114, 6527, 543, 11257, 267, 1010, 2783, 7707, 839, 267, 6028, 1864, 8572, 547, 3802, 5265, 610, 2972, 4730, 13964, 15042, 269, 3767, 267, 4952, 1079, 2009, 4093, 1759, 593, 17804, 3664, 3823, 7665, 781, 3782, 1384, 9928, 523, 9222, 589, 281, 8033, 5224, 9615, 454, 2252, 596, 6430, 547, 11654, 10728, 5574, 267, 7665, 1522, 1995, 10151, 8323, 282, 2705, 267, 646, 1131, 1869, 723, 3908, 10688, 543, 5571, 9636, 2404, 609, 7928, 6413, 11564, 543, 12362, 5773, 269, 3683, 942, 267, 891, 5574, 1223, 1831, 20019, 24675, 727, 267, 4929, 2566, 585, 707, 1920, 780, 9928, 523, 9222, 645, 281, 9869, 823, 1299, 661, 30984, 454, 21446, 8271, 267, 7446, 4662, 823, 1416, 6212, 593, 5883, 7665, 781, 2589, 543, 3246, 5021, 4313, 1282, 1010, 6967, 2395, 693, 1753, 11303, 676, 6068, 3283, 269, 1879, 519, 942, 7959, 1318, 267, 7234, 552, 30984, 609, 707, 17022, 3587, 606, 4781, 547, 2061, 2417, 7092, 269, 2755, 6031, 1434, 25742, 568, 2760, 2653, 267, 6616, 602, 7665, 6170, 1010, 3803, 8090, 25678, 267, 1863, 689, 11605, 267, 6770, 24176, 547, 1082, 3885, 780, 1692, 666, 4648, 4217, 538, 1439, 6361, 3734, 3375, 6194, 888, 309, 2678, 514, 12579, 1404, 2629, 5107, 13057, 3885, 998, 2352, 7391, 4478, 552, 30984, 269, 4256, 6791, 2337, 6218, 3681, 1247, 6236, 1142, 3510, 781, 2189, 6381, 269, 1635, 5807, 1930, 19929, 3710, 2390, 3972, 543, 6568, 267, 1654, 1206, 2327, 5483, 3664, 3056, 547, 2318, 19479, 2833, 2864, 982, 26845, 995, 3283, 780, 1103, 3932, 267, 1620, 1439, 6361, 3734, 3664, 2636, 721, 547, 12167, 585, 938, 19644, 10130, 8296, 2299, 950, 5185, 609, 1950, 3782, 7653, 269, 5457, 602, 1169, 2013, 9775, 267, 8506, 25191, 10526, 1354, 8757, 8753, 269, 2913, 1154, 979, 3085, 1405, 24901, 5821, 855, 3079, 9727, 2648, 267, 2463, 267, 543, 3743, 25330, 1222, 2509, 938, 2185, 6122, 13949, 1655, 2828, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13420, 710, 9439, 4142, 6510, 513, 1713, 6712, 540, 741, 2259, 547, 4180, 543, 19620, 519, 8171, 540, 741, 2550, 269, 1717, 267, 2550, 798, 3914, 519, 1439, 540, 741, 2729, 1247, 538, 707, 1416, 1765, 31347, 998, 8650, 5945, 267, 5312, 4576, 267, 610, 10172, 11652, 519, 5578, 609, 799, 596, 6330, 1439, 540, 1272, 3375, 6194, 609, 7218, 666, 1118, 782, 519, 3017, 1063, 513, 18507, 7817, 543, 513, 29832, 745, 660, 1194, 835, 269, 898, 568, 5051, 7805, 602, 2792, 543, 1489, 1472, 3664, 547, 552, 3578, 534, 1125, 616, 930, 540, 519, 1034, 1271, 4205, 538, 18915, 2259, 269, 1849, 1304, 3664, 1472, 552, 30984, 616, 849, 9808, 9853, 609, 3929, 267, 2883, 543, 3006, 1514, 12503, 267, 1818, 3318, 5583, 782, 519, 811, 2565, 563, 763, 30975, 609, 7736, 540, 5020, 9181, 687, 454, 4407, 2090, 593, 1226, 710, 9439, 685, 2833, 609, 1439, 540, 1272, 3871, 616, 17077, 267, 3730, 1239, 814, 7153, 689, 1382, 593, 1507, 3662, 9439, 269, 2290, 1353, 689, 1507, 3662, 2259, 8612, 602, 4466, 1455, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17484, 6361, 21509, 17423, 5336, 1136, 257, 607, 851, 540, 834, 25503, 1315, 12910, 1400, 5516, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16482, 258, 1496, 14225, 316, 4032, 2398, 1307, 454, 16482, 258, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 11305, 870, 17376, 1307, 7933, 525, 5524, 13045, 16482, 258, 6620, 454, 258, 14168, 630, 2767, 269, 6349, 260, 994, 258, 11192, 20504, 539, 281, 825, 476, 12293, 298, 454, 258, 11192, 4427, 332, 3827, 281, 476, 4792, 272, 269, 273, 298, 454, 258, 4530, 13826, 7151, 281, 476, 1412, 1015, 7055, 16482, 258, 4032, 519, 1297, 540, 6305, 2338, 1447, 982, 513, 1875, 24308, 1297, 267, 562, 563, 258, 3097, 258, 7151, 912, 258, 3097, 258, 3097, 258, 18452, 281, 476, 1015, 454, 258, 19243, 281, 476, 275, 454, 258, 19247, 281, 1703, 616, 476, 275, 6305, 2338, 1447, 982, 476, 1015, 267, 789, 616, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 563, 258, 3097, 258, 3097, 16482, 5814, 2979, 454, 5035, 8827, 912, 825, 1219, 1293, 7468, 1307, 4311, 267, 562, 2187, 1038, 8173, 1038, 2433, 6943, 562, 281, 703, 454, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 6305, 815, 11713, 1038, 2594, 815, 1496, 12148, 585, 1775, 538, 2039, 263, 271, 267, 562, 1341, 476, 272, 22708, 1038, 20735, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 263, 273, 267, 562, 2187, 2018, 952, 2594, 5157, 316, 2652, 6936, 912, 3546, 20735, 6834, 476, 272, 454, 3546, 6305, 6910, 9217, 994, 2018, 585, 1003, 538, 6305, 912, 3546, 952, 1003, 2608, 1775, 2999, 562, 912, 7386, 2594, 314, 11133, 2608, 1775, 316, 815, 8771, 454, 3546, 3116, 912, 7386, 2736, 454, 1038, 2132, 20735, 692, 13872, 0, 16482, 258, 1496, 26631, 316, 11683, 640, 27100, 4083, 454, 16482, 258, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 8276, 1994, 640, 3887, 2211, 268, 4512, 7933, 525, 5524, 13045, 16482, 258, 6620, 454, 258, 23839, 630, 1789, 269, 1321, 260, 994, 258, 11192, 20504, 539, 281, 825, 476, 3199, 269, 273, 298, 454, 258, 11192, 4427, 332, 3827, 281, 476, 29214, 269, 275, 298, 454, 258, 4530, 13826, 7151, 281, 476, 1412, 314, 274, 267, 273, 267, 274, 316, 7055, 16482, 258, 9717, 606, 8870, 5044, 540, 2450, 562, 267, 1265, 782, 2609, 602, 2408, 811, 982, 2340, 490, 488, 454, 258, 562, 270, 274, 2340, 490, 489, 2053, 563, 258, 3097, 258, 8074, 281, 634, 5690, 1058, 2196, 538, 5276, 942, 543, 538, 744, 263, 272, 264, 2230, 563, 258, 3097, 258, 7151, 476, 272, 912, 258, 3097, 258, 3097, 258, 18452, 281, 1496, 274, 267, 273, 267, 274, 2639, 258, 19243, 281, 1496, 274, 2639, 258, 3097, 258, 7151, 476, 273, 912, 258, 3097, 258, 3097, 258, 18452, 281, 1496, 272, 267, 272, 267, 272, 267, 274, 267, 274, 267, 273, 267, 273, 267, 273, 2639, 258, 19243, 281, 1496, 272, 267, 273, 2639, 258, 3097, 16482, 5035, 8827, 912, 825, 1219, 5354, 292, 2211, 4311, 267, 15358, 2187, 1038, 8173, 1038, 2433, 6943, 15358, 281, 5903, 27776, 2639, 1038, 2433, 337, 6943, 281, 5903, 27776, 2639, 1038, 8173, 1038, 1003, 272, 815, 7183, 454, 1038, 1003, 273, 815, 7183, 454, 1038, 1293, 272, 815, 476, 271, 454, 1038, 1293, 273, 815, 476, 271, 454, 1038, 585, 1003, 538, 15358, 912, 1363, 14851, 1003, 2652, 1003, 272, 912, 1363, 453, 453, 12248, 272, 6834, 476, 272, 454, 1363, 453, 19197, 1003, 2652, 1003, 273, 912, 1363, 453, 453, 12248, 273, 6834, 476, 272, 454, 1363, 453, 19197, 1293, 272, 2652, 476, 271, 912, 1363, 453, 453, 11133, 272, 815, 1003, 454, 1363, 453, 453, 12248, 272, 6834, 476, 272, 454, 1363, 453, 19197, 1293, 273, 2652, 476, 271, 912, 1363, 453, 453, 11133, 273, 815, 1003, 454, 1363, 453, 453, 12248, 273, 6834, 476, 272, 454, 1363, 28432, 912, 1363, 453, 453, 12248, 272, 20699, 476, 272, 454, 1363, 453, 453, 12248, 273, 20699, 476, 272, 454, 1038, 1293, 272, 815, 476, 271, 454, 1038, 1293, 273, 815, 476, 271, 454, 1038, 585, 1003, 538, 15358, 912, 1363, 14851, 1003, 2652, 1003, 272, 912, 1363, 453, 453, 12248, 272, 6834, 476, 272, 454, 1363, 453, 19197, 1003, 2652, 1003, 273, 912, 1363, 453, 453, 12248, 273, 6834, 476, 272, 454, 1038, 20735, 815, 11713, 1038, 952, 1293, 272, 3436, 7003, 25225, 264, 12262, 476, 274, 912, 1363, 453, 753, 6910, 16325, 272, 994, 1038, 952, 1293, 273, 3436, 7003, 25225, 264, 12262, 476, 274, 912, 1363, 453, 753, 6910, 16325, 273, 994, 1038, 2132, 20735, 28329, 0, 5814, 5569, 692, 3698, 2040, 10000, 301, 13246, 9272, 21803, 2187, 825, 1267, 815, 476, 271, 454, 825, 585, 14047, 538, 5569, 4877, 9417, 6672, 912, 1038, 3403, 21803, 815, 3403, 21803, 18622, 2897, 9638, 9417, 267, 1412, 30386, 8931, 825, 8237, 1540, 23919, 815, 3403, 21803, 21858, 3488, 30386, 8931, 825, 585, 1775, 538, 8237, 1540, 23919, 912, 1038, 952, 1775, 18994, 323, 13424, 10031, 2018, 1267, 6834, 703, 9217, 994, 27030, 825, 2132, 1267, 454, 0, 258, 2843, 502, 15671, 13077, 11714, 26281, 20265, 454, 258, 2843, 508, 4344, 476, 273, 18194, 3378, 476, 278, 15800, 15671, 4814, 30718, 13833, 454, 258, 2843, 502, 15671, 4814, 30718, 4138, 476, 4344, 9326, 4709, 7846, 4344, 10780, 3378, 16068, 9686, 4709, 26281, 17095, 3522, 4814, 4344, 9924, 267, 25602, 11714, 9924, 4138, 15671, 4814, 9924, 27593, 20046, 476, 26580, 4344, 267, 27188, 17095, 22147, 3378, 14359, 21134, 4138, 20265, 6459, 454, 258, 17095, 3522, 4814, 4344, 9924, 16068, 18547, 13194, 3522, 6459, 31502, 21660, 4138, 16648, 17201, 9841, 20732, 4138, 9261, 454, 5814, 6486, 267, 3756, 692, 5035, 654, 305, 318, 25205, 6262, 1841, 5861, 731, 2187, 825, 5727, 396, 504, 3522, 4814, 25000, 18194, 31124, 15800, 15671, 4814, 9924, 11714, 1412, 29551, 26281, 4709, 7846, 262, 27969, 692, 825, 31984, 318, 309, 3201, 16604, 815, 476, 272, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1871, 4311, 2187, 1038, 952, 1582, 18994, 318, 2183, 318, 1575, 912, 2018, 642, 815, 654, 305, 318, 25205, 10611, 3198, 16775, 28827, 4311, 269, 17213, 264, 1341, 476, 272, 454, 1038, 3116, 912, 2018, 642, 815, 7183, 454, 1038, 2132, 642, 7531, 5035, 654, 305, 318, 5719, 1188, 6262, 1841, 269, 5719, 1188, 2187, 825, 5727, 396, 504, 17201, 19757, 3522, 18194, 31124, 15800, 15671, 4814, 9924, 11714, 1412, 29551, 26281, 4709, 7846, 262, 27969, 692, 825, 1219, 1402, 3634, 4311, 2187, 1038, 585, 9290, 538, 654, 305, 318, 25205, 2529, 308, 3951, 306, 912, 2018, 585, 7584, 538, 654, 305, 318, 25205, 10611, 3198, 16775, 912, 3546, 1582, 6983, 1841, 6910, 263, 29949, 318, 25205, 16868, 1678, 267, 9290, 264, 9239, 5035, 654, 305, 318, 21652, 6262, 1841, 13034, 663, 2187, 825, 5727, 396, 510, 7846, 18547, 281, 21660, 16648, 18775, 17095, 3522, 4814, 4344, 27188, 16068, 9686, 4709, 22147, 3378, 15800, 15671, 4814, 30718, 3522, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 2187, 1038, 2706, 263, 29949, 318, 21652, 267, 1582, 1040, 1029, 8181, 1029, 4590, 1038, 1582, 20508, 815, 2012, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 1065, 815, 1582, 20508, 1341, 834, 24097, 339, 257, 1341, 2706, 263, 29949, 318, 21652, 267, 1582, 1040, 1029, 1598, 1029, 4590, 1038, 952, 1582, 6745, 4973, 912, 2018, 1065, 6834, 834, 4709, 21134, 4138, 20265, 6459, 17095, 3522, 4814, 4344, 9924, 910, 834, 1341, 1193, 4311, 6745, 4973, 994, 1038, 2132, 1065, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2698, 4311, 2187, 1038, 512, 815, 476, 271, 454, 1038, 585, 3556, 538, 1582, 6983, 1841, 912, 2018, 512, 6834, 3556, 27841, 454, 1038, 2132, 512, 692, 825, 1219, 568, 10734, 755, 539, 4311, 2187, 1038, 2132, 1582, 6745, 4973, 7531, 5035, 654, 305, 318, 32156, 263, 29949, 318, 21652, 2187, 825, 5727, 396, 502, 15671, 4814, 30718, 11714, 1412, 396, 495, 6459, 3264, 7549, 268, 9686, 21833, 3264, 7549, 262, 27969, 454, 825, 1219, 6336, 4311, 2187, 1038, 1820, 4311, 20508, 267, 834, 10528, 4814, 3378, 4138, 15671, 13077, 6459, 1701, 9239, 825, 1219, 3094, 4311, 2187, 1038, 1820, 4311, 20508, 267, 834, 8563, 9924, 4138, 15671, 13077, 6459, 1701, 9239, 5035, 654, 305, 318, 29228, 24998, 2187, 825, 5727, 396, 502, 15671, 13077, 11714, 2843, 495, 6459, 3264, 7549, 268, 9686, 21833, 3264, 7549, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 4408, 2187, 1038, 1582, 269, 2452, 619, 815, 11713, 1038, 585, 2012, 538, 4408, 912, 2018, 6345, 815, 654, 305, 318, 32156, 28442, 994, 2018, 1582, 269, 2452, 619, 6910, 263, 16651, 994, 1038, 1582, 19709, 1188, 815, 654, 305, 318, 5719, 1188, 4590, 1038, 1582, 19709, 1188, 21014, 3634, 4590, 1038, 1582, 19709, 1188, 11075, 28984, 10797, 825, 1219, 1404, 4311, 2187, 1038, 1948, 11012, 28027, 10948, 3522, 11714, 4736, 27671, 10780, 3378, 476, 272, 17095, 3522, 4814, 16021, 454, 1038, 1582, 19709, 1188, 19709, 531, 4311, 269, 2452, 619, 267, 829, 318, 8518, 284, 272, 994, 1038, 1582, 6745, 762, 318, 13440, 3581, 815, 11713, 1038, 585, 6345, 538, 1582, 269, 2452, 619, 912, 2018, 1820, 263, 16651, 994, 2018, 1582, 6745, 762, 318, 13440, 3581, 6910, 263, 16651, 18994, 10734, 755, 539, 15405, 1038, 1582, 6745, 762, 318, 13440, 3581, 31699, 263, 516, 2091, 18989, 264, 1948, 11012, 18775, 28821, 31589, 27671, 16068, 16648, 13077, 4344, 21162, 9261, 10780, 18775, 9326, 9686, 7549, 21134, 454, 1038, 585, 6345, 538, 1582, 269, 2452, 619, 912, 2018, 1948, 31128, 4736, 20434, 27188, 15800, 15671, 4814, 30718, 3522, 14359, 21134, 4138, 20265, 6459, 17095, 3522, 4814, 4344, 9924, 476, 13077, 8563, 12811, 20413, 3522, 7549, 4736, 4138, 9261, 3522, 23783, 4709, 21134, 7846, 14359, 21134, 4138, 20265, 6459, 7846, 267, 476, 26580, 16068, 4709, 11714, 9924, 4138, 15671, 13077, 6459, 454, 2018, 952, 6345, 6745, 4973, 2652, 1582, 6745, 762, 318, 13440, 3581, 314, 271, 14158, 3546, 6345, 269, 7773, 4590, 2018, 1948, 31128, 4736, 20434, 27188, 15800, 15671, 4814, 30718, 3522, 14359, 21134, 4138, 20265, 6459, 17095, 3522, 4814, 4344, 9924, 20413, 12811, 9841, 20732, 3264, 20413, 3522, 7549, 4736, 4138, 9261, 3522, 23783, 4709, 22147, 3378, 14359, 21134, 4138, 20265, 20977, 267, 476, 26580, 16068, 4709, 29824, 3378, 4138, 15671, 13077, 6459, 454, 2018, 8640, 6345, 6745, 4973, 2999, 1582, 6745, 762, 318, 13440, 3581, 314, 271, 14158, 3546, 6345, 7456, 846, 4590, 1038, 1948, 27188, 28027, 6459, 23845, 3264, 11714, 4736, 3264, 17153, 17095, 3522, 4814, 4344, 454, 1038, 585, 6345, 538, 1582, 269, 2452, 619, 912, 2018, 6345, 269, 27234, 30800, 3698, 1292, 10031, 825, 1820, 19629, 339, 29146, 396, 498, 29652, 4814, 3378, 10780, 5284, 370, 3522, 6459, 13833, 28476, 30935, 15800, 15671, 4814, 13833, 26281, 11012, 4344, 17201, 28314, 4814, 9924, 1412, 29551, 26281, 20265, 262, 256, 315, 333, 5602, 825, 1820, 19629, 339, 29146, 29551, 9924, 4138, 15671, 13077, 20046, 476, 26580, 4344, 267, 27188, 17095, 22147, 3378, 25338, 7846, 9686, 20046, 17095, 3522, 4814, 25000, 11012, 21660, 4138, 16648, 17201, 9841, 20732, 4138, 9261, 14359, 21134, 4138, 20265, 6459, 21134, 256, 315, 333, 5602, 825, 4408, 815, 11713, 825, 1297, 815, 3756, 269, 2532, 20311, 2891, 396, 350, 7549, 17201, 9841, 7549, 3378, 11714, 4736, 3264, 15671, 3378, 15800, 15671, 4814, 30718, 13833, 286, 630, 273, 910, 476, 278, 2567, 14307, 1970, 284, 273, 267, 1164, 284, 279, 994, 825, 585, 1775, 538, 2039, 28840, 2187, 1038, 2012, 815, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 15800, 9261, 9326, 15800, 15671, 4814, 30718, 3522, 281, 19515, 1038, 4408, 6910, 28442, 994, 1038, 1820, 4590, 825, 3014, 815, 654, 305, 318, 29228, 3799, 1868, 994, 825, 1586, 815, 7183, 454, 825, 1247, 1586, 11203, 834, 333, 13426, 1038, 3014, 269, 2452, 4590, 1038, 1586, 815, 3756, 269, 2532, 318, 13433, 5332, 334, 19629, 333, 396, 354, 3378, 28821, 16021, 11012, 9924, 15671, 13077, 31224, 31128, 27569, 3264, 476, 13077, 13194, 286, 834, 2020, 10852, 4590, 6358, 19629, 333, 14826, 396, 507, 3522, 21833, 9261, 4138, 16021, 9373, 267, 24893, 4344, 29652, 9924, 11714, 9924, 13953, 28821, 1701, 264, 0, 258, 396, 509, 4814, 22147, 13077, 9261, 9261, 3522, 476, 1911, 476, 13077, 13194, 10780, 19757, 16648, 13077, 4736, 9924, 27593, 20046, 20413, 32648, 20046, 7549, 7846, 15800, 10780, 30718, 3522, 13194, 9924, 27593, 20046, 11012, 7549, 17201, 9841, 7549, 3378, 476, 13077, 13194, 11714, 9924, 10528, 3522, 6459, 16068, 16417, 6459, 267, 25602, 11012, 7549, 17201, 9841, 7549, 3378, 476, 13077, 13194, 476, 16417, 20732, 18547, 454, 5814, 4351, 454, 15893, 15058, 318, 3333 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 29443, 9947, 476, 866, 476, 1626, 281, 6812, 281, 3607, 476, 1708, 271, 692, 287, 10461, 281, 17094, 584, 454, 12163, 258, 3721, 476, 271, 4534, 1104, 23905, 454, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 2979, 692, 258, 5153, 476, 272, 4534, 3367, 519, 1239, 454, 321, 10105, 815, 19073, 18667, 32269, 3488, 327, 2293, 27406, 262, 9239, 258, 5153, 476, 273, 4534, 2776, 3916, 5811, 543, 3171, 1155, 19139, 454, 321, 10105, 318, 2181, 335, 815, 21891, 6983, 4878, 4590, 321, 10105, 318, 2181, 335, 815, 21891, 318, 2181, 335, 6155, 1886, 8443, 262, 8161, 12887, 11845, 12887, 322, 553, 783, 12887, 2958, 626, 1229, 28710, 9471, 284, 272, 2020, 258, 6744, 14275, 338, 610, 7508, 2418, 454, 321, 10105, 318, 2181, 335, 18994, 333, 1638, 14061, 8999, 10797, 258, 11822, 10439, 1436, 540, 519, 1239, 1210, 17455, 553, 2876, 6945, 454, 321, 10105, 318, 2181, 335, 269, 7290, 16868, 12296, 284, 271, 269, 280, 994, 10823, 6745, 697, 9078, 599, 719, 10797, 258, 11872, 454, 258, 24637, 568, 711, 7363, 7856, 780, 258, 10574, 3308, 5314, 910, 6024, 2934, 5288, 3747, 454, 10823, 16553, 7120, 263, 273, 267, 273, 267, 272, 994, 10823, 26644, 3488, 307, 17687, 5288, 24637, 5073, 10823, 31892, 2660, 6357, 10105, 318, 2181, 335, 9131, 31184, 28710, 321, 10105, 9131, 12047, 663, 28710, 338, 284, 273, 267, 524, 8782, 326, 17210, 10823, 16553, 7120, 263, 273, 267, 273, 267, 273, 994, 10823, 26644, 3488, 320, 307, 11391, 5288, 24637, 5073, 10823, 31892, 2660, 6357, 10105, 318, 2181, 335, 9131, 622, 5404, 28710, 321, 10105, 9131, 12047, 663, 28710, 338, 284, 273, 267, 524, 8782, 321, 17210, 10823, 16553, 7120, 263, 273, 267, 273, 267, 274, 994, 10823, 26644, 3488, 24109, 7190, 5288, 24637, 5073, 10823, 31892, 2660, 6357, 10105, 318, 2181, 335, 9131, 21065, 7190, 28710, 321, 10105, 9131, 12047, 663, 28710, 338, 284, 273, 267, 524, 8782, 332, 17210, 10823, 16553, 7120, 263, 273, 267, 273, 267, 275, 994, 10823, 26644, 3488, 13388, 14588, 539, 5288, 24637, 5073, 10823, 31892, 2660, 6357, 10105, 318, 2181, 335, 9131, 13388, 14588, 539, 28710, 321, 10105, 9131, 12047, 663, 28710, 338, 284, 273, 267, 524, 8782, 322, 5073, 10823, 6745, 697, 9078, 599, 719, 10797, 258, 11872, 910, 21213, 454, 258, 24637, 568, 711, 7363, 7856, 563, 258, 307, 17687, 543, 3747, 5526, 547, 723, 1463, 9756, 563, 258, 763, 4729, 585, 10917, 543, 693, 11391, 616, 3592, 9838, 563, 258, 9966, 7190, 543, 12798, 32497, 1860, 3747, 855, 991, 811, 8579, 2079, 780, 258, 10574, 3308, 5314, 910, 595, 1538, 5566, 2934, 5288, 3747, 454, 3712, 832, 815, 9131, 326, 12887, 337, 12887, 332, 12887, 321, 23300, 13906, 8217, 815, 21891, 318, 2181, 335, 9131, 572, 1783, 262, 4940, 684, 1664, 4590, 13906, 19963, 2071, 815, 21891, 318, 2181, 335, 3052, 4981, 2421, 3488, 572, 1783, 262, 1040, 11743, 3890, 9131, 12047, 663, 23300, 10823, 16553, 7120, 263, 274, 267, 274, 267, 272, 994, 10823, 26644, 3488, 13510, 326, 24637, 829, 17897, 5073, 10823, 269, 8663, 6262, 520, 8217, 267, 13906, 19963, 2071, 267, 10233, 284, 3712, 832, 2020, 13906, 8217, 815, 21891, 318, 2181, 335, 9131, 24629, 262, 4940, 684, 1664, 4590, 13906, 19963, 2071, 815, 21891, 318, 2181, 335, 3052, 4981, 2421, 3488, 24629, 262, 1040, 11743, 3890, 9131, 12047, 663, 23300, 10823, 16553, 7120, 263, 274, 267, 274, 267, 273, 994, 10823, 26644, 3488, 13510, 326, 24637, 829, 13600, 5073, 10823, 269, 8663, 6262, 520, 8217, 267, 13906, 19963, 2071, 267, 10233, 284, 3712, 832, 2020, 13906, 8217, 815, 21891, 318, 2181, 335, 9131, 3128, 6118, 262, 4940, 684, 1664, 4590, 13906, 19963, 2071, 815, 21891, 318, 2181, 335, 3052, 4981, 2421, 3488, 3128, 6118, 262, 1040, 11743, 3890, 9131, 12047, 663, 23300, 10823, 16553, 7120, 263, 274, 267, 274, 267, 274, 994, 10823, 26644, 3488, 13510, 326, 24637, 829, 31054, 5073, 10823, 269, 8663, 6262, 520, 8217, 267, 13906, 19963, 2071, 267, 10233, 284, 3712, 832, 2020, 13906, 8217, 815, 21891, 318, 2181, 335, 9131, 15553, 1485, 262, 4940, 684, 1664, 4590, 13906, 19963, 2071, 815, 21891, 318, 2181, 335, 3052, 4981, 2421, 3488, 15553, 1485, 262, 1040, 11743, 3890, 9131, 12047, 663, 23300, 10823, 16553, 7120, 263, 274, 267, 274, 267, 275, 994, 10823, 26644, 3488, 13510, 326, 24637, 829, 3018, 1485, 5073, 10823, 269, 8663, 6262, 520, 8217, 267, 13906, 19963, 2071, 267, 10233, 284, 3712, 832, 2020, 13906, 8217, 815, 21891, 318, 2181, 335, 9131, 327, 712, 262, 4940, 684, 1664, 4590, 13906, 19963, 2071, 815, 21891, 318, 2181, 335, 3052, 4981, 2421, 3488, 327, 712, 262, 1040, 11743, 3890, 9131, 12047, 663, 23300, 10823, 16553, 7120, 263, 274, 267, 274, 267, 276, 994, 10823, 26644, 3488, 13510, 326, 24637, 829, 5662, 5073, 10823, 269, 8663, 6262, 520, 8217, 267, 13906, 19963, 2071, 267, 10233, 284, 3712, 832, 2020, 13906, 8217, 815, 21891, 318, 2181, 335, 9131, 20204, 262, 4940, 684, 1664, 4590, 13906, 19963, 2071, 815, 21891, 318, 2181, 335, 3052, 4981, 2421, 3488, 20204, 262, 1040, 11743, 3890, 9131, 12047, 663, 23300, 10823, 16553, 7120, 263, 274, 267, 274, 267, 277, 994, 10823, 26644, 3488, 13510, 326, 24637, 829, 1032, 5073, 10823, 269, 8663, 6262, 520, 8217, 267, 13906, 19963, 2071, 267, 10233, 284, 3712, 832, 2020, 13906, 8217, 815, 21891, 318, 2181, 335, 9131, 11529, 1485, 262, 4940, 684, 1664, 4590, 13906, 19963, 2071, 815, 21891, 318, 2181, 335, 3052, 4981, 2421, 3488, 11529, 1485, 262, 1040, 11743, 3890, 9131, 12047, 663, 23300, 10823, 16553, 7120, 263, 274, 267, 274, 267, 278, 994, 10823, 26644, 3488, 13510, 326, 24637, 829, 2324, 1485, 5073, 10823, 269, 8663, 6262, 520, 8217, 267, 13906, 19963, 2071, 267, 10233, 284, 3712, 832, 2020, 13906, 8217, 815, 21891, 318, 2181, 335, 9131, 933, 1430, 262, 4940, 684, 1664, 4590, 13906, 19963, 2071, 815, 21891, 318, 2181, 335, 3052, 4981, 2421, 3488, 933, 1430, 262, 1040, 11743, 3890, 9131, 12047, 663, 23300, 10823, 16553, 7120, 263, 274, 267, 274, 267, 279, 994, 10823, 26644, 3488, 13510, 326, 24637, 829, 16661, 5073, 10823, 269, 8663, 6262, 520, 8217, 267, 13906, 19963, 2071, 267, 10233, 284, 3712, 832, 994, 10823, 6745, 697, 9078, 599, 719, 10797, 258, 11872, 910, 21213, 454, 258, 24637, 568, 711, 7363, 7856, 563, 258, 307, 17687, 543, 3747, 5526, 547, 723, 1463, 9756, 563, 258, 763, 4729, 585, 10917, 543, 693, 11391, 616, 3592, 9838, 269, 910, 2638, 24352, 565, 1467, 10846, 888, 258, 9966, 7190, 543, 12798, 32497, 1860, 3747, 855, 991, 811, 8579, 2079, 269, 2638, 3212, 553, 3464, 517, 9756, 11664, 888, 258, 1546, 600, 526, 676, 3018, 1485, 1281, 711, 1689, 1454, 865, 621, 781, 13061, 563, 258, 24637, 676, 5729, 267, 649, 723, 1152, 476, 273, 1296, 1239, 269, 3908, 1239, 267, 1732, 547, 6749, 713, 9587, 607, 1134, 563, 258, 1546, 600, 526, 676, 2324, 1485, 1281, 711, 1689, 1454, 865, 621, 781, 13061, 563, 258, 3747, 829, 5662, 2982, 519, 942, 950, 3747, 585, 21891, 616, 1164, 543, 1970, 269, 8528, 258, 2638, 4934, 11502, 692, 321, 10105, 318, 2181, 335, 9131, 12047, 663, 262, 4940, 9188, 9216, 4590, 321, 10105, 318, 2181, 335, 9131, 12047, 663, 262, 4940, 31642, 850, 8443, 271, 269, 4962, 267, 271, 269, 272, 267, 271, 269, 1428, 267, 271, 269, 280, 267, 271, 269, 4817, 267, 271, 269, 4200, 316, 9239, 258, 2638, 519, 2667, 18870, 540, 13038, 22953, 692, 258, 7412, 10846, 1210, 9756, 11664, 5119, 1210, 1351, 337, 454, 258, 2171, 1058, 2015, 519, 9756, 609, 519, 8200, 4756, 5560, 655, 663, 264, 543, 1058, 849, 2638, 519, 21341, 1851, 519, 4756, 269, 3097, 14585, 21975, 815, 21891, 318, 2181, 335, 314, 9131, 31184, 12887, 622, 5404, 12887, 21065, 7190, 12887, 13388, 14588, 539, 12887, 12047, 663, 11172, 4940, 14585, 337, 10797, 258, 11872, 910, 21213, 454, 258, 24637, 568, 711, 7363, 7856, 563, 258, 307, 17687, 543, 3747, 5526, 547, 723, 1463, 9756, 563, 258, 763, 4729, 585, 10917, 543, 693, 11391, 616, 3592, 9838, 269, 910, 2638, 24352, 565, 1467, 10846, 286, 9847, 2178, 9756, 1851, 519, 1079, 267, 865, 6749, 693, 11391, 563, 258, 9966, 7190, 543, 12798, 32497, 1860, 3747, 855, 991, 811, 8579, 2079, 269, 2638, 3212, 553, 3464, 517, 9756, 11664, 286, 9847, 12798, 32497, 814, 513, 4617, 9756, 609, 3747, 269, 865, 6749, 621, 563, 258, 24637, 676, 3018, 1485, 1281, 711, 1689, 1454, 865, 621, 781, 13061, 269, 9847, 17840, 454, 258, 24637, 676, 5729, 267, 649, 723, 1152, 476, 273, 1296, 1239, 269, 3908, 1239, 267, 1732, 547, 6749, 713, 9587, 607, 1134, 269, 9847, 6749, 454, 258, 1546, 600, 526, 676, 2324, 1485, 1281, 711, 1689, 1454, 865, 621, 781, 13061, 11607, 285, 6749, 563, 258, 3747, 829, 5662, 2982, 519, 942, 950, 3747, 585, 21891, 616, 1164, 543, 1970, 269, 476, 7531, 321, 10105, 318, 2181, 335, 815, 21891, 318, 2181, 335, 6155, 1886, 8443, 262, 622, 5404, 12887, 13388, 14588, 539, 12887, 20204, 12887, 11529, 1485, 12887, 15553, 1485, 28710, 9471, 284, 272, 9239, 258, 14818, 16790, 2275, 528, 21975, 538, 24637, 1210, 1035, 22741, 4729, 454, 258, 16225, 339, 547, 10581, 607, 519, 1035, 22741, 26770, 10581, 2418, 454, 4206, 272, 815, 19073, 30419, 5332, 10179, 545, 6357, 10105, 318, 2181, 335, 9131, 12047, 663, 28710, 6658, 4751, 8782, 15615, 5073, 10823, 28482, 22741, 29254, 272, 267, 3193, 331, 4711, 284, 1321, 2020, 258, 11872, 910, 21213, 454, 258, 24637, 568, 711, 7363, 7856, 563, 258, 307, 17687, 543, 3747, 5526, 547, 723, 1463, 9756, 563, 258, 3747, 829, 5662, 2982, 519, 942, 950, 3747, 585, 21891, 616, 1164, 543, 1970, 269, 3097, 258, 3747, 814, 1360, 1164, 1313, 665, 528, 21975, 6993, 583, 665, 528, 21975, 2291, 538, 8200, 15254, 756, 1446, 865, 649, 3112, 6749, 621, 780, 258, 2845, 268, 3339, 1047, 519, 4183, 3747, 454, 4206, 272, 815, 21891, 318, 2181, 335, 9131, 12047, 663, 23300, 4206, 273, 815, 5286, 28802, 29254, 272, 2020, 10823, 8807, 2682, 4590, 4206, 272, 269, 7290, 16868, 12296, 284, 271, 269, 280, 267, 25510, 284, 736, 2020, 10823, 8807, 2682, 4590, 4206, 273, 269, 7290, 16868, 12296, 284, 271, 269, 280, 267, 25510, 284, 736, 2020, 321, 10105, 318, 2181, 335, 9131, 12047, 663, 11172, 815, 5286, 28802, 6357, 10105, 318, 2181, 335, 9131, 12047, 663, 11172, 2020, 258, 11872, 910, 21213, 454, 258, 24637, 568, 711, 7363, 7856, 269, 9847, 2845, 5991, 5436, 2213, 454, 258, 307, 17687, 543, 3747, 5526, 547, 723, 1463, 9756, 563, 258, 3747, 829, 5662, 2982, 519, 942, 950, 3747, 585, 21891, 616, 1164, 543, 1970, 269, 3097, 258, 3747, 814, 1360, 1164, 1313, 665, 528, 21975, 6993, 583, 665, 528, 21975, 2291, 538, 8200, 15254, 756, 1446, 865, 649, 3112, 6749, 621, 780, 258, 8505, 665, 528, 21975, 454, 339, 318, 272, 815, 21891, 318, 2181, 335, 9131, 12047, 663, 262, 4940, 3333, 3424, 263, 266, 272, 1040, 1729, 6958, 9347, 4590, 339, 318, 272, 31815, 8435, 815, 18358, 339, 268, 272, 262, 6540, 339, 318, 273, 815, 21891, 318, 2181, 335, 9131, 12047, 663, 262, 4940, 3333, 3424, 263, 266, 273, 1040, 1729, 6958, 9347, 4590, 339, 318, 273, 31815, 8435, 815, 18358, 339, 268, 273, 262, 6540, 339, 318, 274, 815, 21891, 318, 2181, 335, 9131, 12047, 663, 262, 4940, 3333, 3424, 263, 266, 274, 1040, 1729, 6958, 9347, 4590, 339, 318, 274, 31815, 8435, 815, 18358, 339, 268, 274, 262, 6540, 692, 321, 10105, 318, 2181, 335, 9078, 698, 815, 19073, 26769, 13906, 8443, 321, 10105, 318, 2181, 335, 267, 512, 318, 272, 25722, 318, 273, 25722, 318, 274, 3910, 9471, 284, 272, 2020, 321, 10105, 318, 2181, 335, 9078, 698, 815, 21891, 318, 2181, 335, 9078, 698, 6155, 1886, 3534, 10797, 258, 11872, 910, 21213, 454, 258, 307, 17687, 543, 3747, 5526, 547, 723, 1463, 9756, 563, 258, 3747, 829, 5662, 2982, 519, 942, 950, 3747, 585, 21891, 616, 1164, 543, 1970, 269, 3097, 258, 3747, 814, 1360, 1164, 1313, 665, 528, 21975, 6993, 583, 665, 528, 21975, 2291, 538, 8200, 15254, 756, 1446, 865, 649, 3112, 6749, 621, 269, 9847, 323, 821, 7531, 258, 8073, 546, 16244, 4632, 543, 6749, 519, 1101, 547, 2057, 546, 16244, 4632, 15972, 585, 28547, 9587, 270, 10623 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5272, 3602, 513, 6178, 563, 1103, 519, 2027, 2013, 540, 519, 5409, 24934, 320, 14366, 1895, 2098, 273, 9881, 478, 10965, 2073, 649, 3277, 547, 519, 2609, 630, 349, 340, 282, 552, 264, 607, 9896, 9163, 543, 519, 2609, 630, 349, 341, 6902, 26018, 3738, 607, 9896, 1098, 21752, 563, 305, 24655, 15211, 593, 530, 805, 327, 2472, 540, 2516, 454, 3719, 281, 4208, 798, 649, 723, 1129, 18396, 11447, 538, 535, 533, 286, 5221, 538, 31221, 329, 815, 476, 273, 5624, 267, 519, 4191, 267, 676, 4070, 267, 616, 519, 1482, 607, 538, 700, 306, 23993, 4586, 306, 1051, 18122, 609, 4351, 543, 19774, 4351, 679, 5145, 956, 454, 11997, 267, 519, 1129, 540, 3980, 480, 303, 1315, 4501, 480, 535, 568, 5462, 676, 519, 1129, 540, 3980, 480, 313, 272, 270, 4501, 480, 313, 271, 4586, 15228, 11496, 31771, 16132, 538, 513, 1486, 12111, 673, 9141, 30704, 3154, 454, 19284, 16998, 267, 519, 2418, 540, 670, 266, 543, 670, 6629, 538, 717, 307, 294, 616, 1129, 8686, 926, 762, 543, 267, 8754, 267, 1312, 3435, 7222, 547, 670, 266, 543, 670, 6629, 666, 4766, 519, 7269, 607, 1134, 607, 519, 13496, 538, 13829, 593, 741, 1129, 563, 15239, 4149, 532, 983, 15328, 17443, 543, 717, 879, 613, 28636, 540, 3400, 341, 2787, 454, 4415, 5506, 7117, 519, 8095, 3217, 519, 6587, 1129, 540, 519, 12103, 795, 528, 640, 540, 922, 12543, 267, 543, 621, 3217, 519, 1482, 1129, 609, 5506, 630, 272, 6567, 7117, 1916, 28899, 640, 8686, 1774, 2203, 593, 4351, 11708, 0, 13480, 543, 26930, 454, 1607, 4518, 543, 26930, 3992, 1544, 849, 2882, 912, 23612, 17603, 8495, 519, 9021, 1644, 547, 1585, 11678, 563, 274, 14358, 476, 279, 20042, 454, 268, 674, 27212, 9537, 454, 268, 11242, 1299, 18768, 454, 268, 29093, 1299, 16103, 454, 268, 7435, 8083, 1299, 22108, 454, 268, 6997, 8249, 454, 268, 4804, 10632, 454, 268, 7689, 12697, 454, 268, 12729, 17796, 454, 268, 28826, 1299, 16574, 919, 454, 268, 12333, 26671, 454, 268, 19113, 20043, 454, 268, 5530, 20929, 454, 268, 13437, 570, 3696, 454, 268, 18753, 5029, 9088, 454, 268, 5675, 8871, 14186, 454, 268, 20472, 539, 15863, 27294, 454, 268, 6673, 4530, 2776, 1186, 454, 268, 7689, 14136, 15080, 454, 268, 20308, 6519, 15236, 454, 268, 5851, 16707, 454, 268, 32148, 9537, 454, 268, 2353, 12754, 9537, 454, 268, 8058, 2353, 454, 8450, 2147, 2200, 912, 9288, 543, 3733, 16763, 1744, 20760, 267, 3487, 476, 274, 8893, 14136, 454, 23612, 17603, 2328, 513, 1957, 28388, 741, 3105, 2816, 14692, 1995, 269, 1358, 4766, 1312, 519, 2318, 543, 2942, 3344, 540, 519, 2816, 789, 4767, 543, 1865, 835, 5578, 1031, 593, 519, 2816, 269, 4841, 2328, 9684, 596, 5022, 547, 519, 2483, 274, 6113, 19396, 1299, 14502, 4065, 454, 736, 6153, 4518, 7689, 12697, 8893, 14136, 454, 1432, 2306, 2576, 1434, 693, 1018, 789, 798, 286, 1323, 5863, 5044, 540, 476, 736, 3992, 4566, 2337, 6267, 540, 782, 6502, 2697, 519, 1272, 1983, 2877, 547, 581, 513, 1164, 7779, 267, 3318, 9441, 269, 634, 2200, 2270, 1367, 543, 1895, 2238, 2483, 298, 910, 476, 1321, 628, 4317, 1299, 16508, 4804, 454, 292, 11915, 6153, 13480, 15484, 18145, 8893, 14136, 454, 2750, 3250, 775, 267, 7881, 267, 543, 6278, 616, 519, 1614, 661, 781, 12286, 538, 513, 1770, 602, 8992, 1434, 960, 1851, 10026, 5640, 269, 3414, 4901, 267, 8086, 267, 1224, 17038, 10796, 267, 2534, 3211, 267, 543, 2854, 6114, 267, 5171, 2744, 2483, 298, 910, 476, 277, 628, 4317, 1299, 16508, 4804, 18938, 281, 23850, 454, 275, 6953, 623, 15160, 11314, 8525, 281, 13786, 7441, 640, 8893, 14136, 454, 1692, 1082, 5798, 1281, 513, 9269, 2482, 12422, 286, 589, 16738, 1788, 4991, 476, 275, 6953, 2818, 7680, 519, 2956, 540, 5539, 543, 1416, 540, 2831, 269, 1358, 1224, 827, 5883, 16738, 543, 2324, 609, 5798, 267, 2328, 513, 1650, 827, 741, 26600, 31972, 274, 6113, 910, 476, 277, 628, 19396, 1299, 14502, 4065, 454, 293, 569, 2659, 918, 924, 8893, 14136, 454, 21886, 5971, 5640, 547, 1831, 513, 11327, 2146, 4759, 609, 513, 30866, 2389, 1335, 539, 3992, 269, 11374, 513, 2689, 543, 4901, 267, 6267, 2347, 513, 966, 3317, 6516, 602, 10525, 519, 4276, 1063, 1915, 7592, 2877, 547, 1118, 513, 1753, 543, 2483, 274, 6113, 4317, 1299, 16508, 4804, 18938, 281, 24623, 454, 8702, 547, 3733, 1977, 12426, 256, 8893, 14136, 454, 12648, 513, 1900, 883, 519, 5691, 3484, 1158, 543, 2263, 519, 1764, 8105, 814, 593, 938, 4948, 4189, 6208, 269, 8892, 6705, 3605, 519, 2495, 540, 6683, 543, 519, 2182, 960, 602, 4422, 883, 3246, 1426, 585, 721, 547, 2972, 269, 589, 2780, 3014, 2483, 274, 6113, 910, 476, 276, 628, 19396, 1299, 14502, 4065, 454, 763, 10555, 547, 15213, 11819, 779, 6651, 8893, 14136, 454, 10743, 1224, 519, 1650, 834, 763, 10555, 547, 15213, 257, 543, 7119, 538, 3742, 2542, 547, 2123, 1125, 1018, 789, 723, 1224, 269, 1280, 713, 2542, 3992, 267, 1053, 1246, 1896, 1603, 2238, 543, 1865, 741, 960, 1547, 4841, 11753, 741, 2483, 273, 526, 910, 476, 276, 628, 2296, 5678, 8551, 454, 763, 831, 19590, 585, 13722, 543, 16592, 16504, 20946, 8893, 14136, 454, 4504, 28558, 1647, 30595, 547, 1404, 8586, 543, 519, 2609, 540, 12416, 609, 513, 3670, 1606, 11970, 9423, 1770, 602, 7512, 3214, 547, 4228, 741, 9117, 543, 1603, 1983, 269, 634, 476, 1321, 22240, 17142, 2882, 7650, 338, 540, 519, 4245, 267, 4879, 2483, 298, 910, 476, 277, 628, 2296, 5678, 8551, 18938, 281, 23850, 454, 27852, 8881, 281, 1548, 781, 519, 4643, 286, 8893, 14136, 454, 306, 3273, 1513, 2347, 513, 5619, 538, 7041, 585, 513, 3992, 1544, 782, 827, 3595, 3106, 269, 9540, 2516, 2253, 513, 918, 310, 299, 5750, 1287, 1865, 741, 6114, 609, 741, 9905, 269, 634, 1362, 3217, 851, 538, 513, 6056, 267, 30449, 267, 9523, 547, 5531, 3606, 2483, 274, 6113, 910, 476, 276, 628, 2296, 5678, 8551, 18938, 281, 23850, 454, 23991, 26930, 543, 8758, 618, 8893, 14136, 454, 10743, 616, 5189, 547, 20266, 27591, 543, 875, 646, 2813, 9040, 3019, 543, 8479, 267, 543, 4612, 519, 22192, 1543, 540, 519, 960, 269, 1358, 1865, 543, 5581, 1018, 513, 1920, 1770, 5161, 540, 267, 543, 1106, 8753, 540, 741, 1378, 269, 4841, 2697, 543, 2483, 298, 910, 476, 280, 628, 19396, 1299, 14502, 4065, 0, 12901, 643, 6400, 3301, 568, 513, 1455, 4062, 540, 3301, 1031, 547, 2149, 513, 19766, 7473, 2207, 1996, 8290, 267, 22342, 2264, 543, 18858, 329, 753, 269, 898, 666, 581, 835, 540, 519, 1034, 11342, 3292, 22434, 267, 1031, 593, 519, 26099, 267, 543, 568, 8246, 585, 1114, 4170, 269, 589, 1268, 945, 585, 23842, 28456, 2780, 3301, 5196, 519, 2780, 9998, 11974, 547, 1294, 952, 741, 1699, 28456, 3156, 616, 909, 547, 4266, 267, 952, 621, 3884, 1406, 1287, 789, 1058, 2901, 9337, 621, 610, 5310, 4647, 513, 1007, 835, 269, 4165, 643, 6400, 3292, 666, 581, 960, 9308, 267, 998, 513, 19371, 9486, 610, 5839, 842, 9655, 13013, 8648, 7131, 610, 5310, 998, 513, 1357, 11422, 269, 2368, 18453, 3301, 11338, 2501, 609, 513, 31216, 3710, 538, 267, 538, 1931, 602, 621, 666, 3625, 856, 19670, 9623, 689, 1880, 2010, 540, 7270, 563, 2690, 1082, 945, 946, 606, 4550, 3644, 3301, 602, 568, 6157, 1759, 593, 606, 4587, 4528, 267, 789, 1522, 1265, 602, 621, 786, 711, 960, 5265, 609, 519, 5767, 21820, 540, 519, 2780, 543, 824, 22342, 16292, 602, 949, 581, 1210, 519, 26099, 269, 3509, 9921, 28456, 6030, 798, 711, 723, 519, 8242, 23789, 799, 8952, 909, 609, 519, 811, 2487, 23937, 547, 519, 3644, 543, 849, 824, 18453, 602, 786, 581, 593, 519, 1982, 269, 634, 1267, 568, 602, 2043, 786, 5781, 723, 547, 6450, 2393, 741, 1949, 1175, 547, 1118, 1978, 519, 2011, 28456, 3354, 3301, 568, 8647, 5265, 269, 1403, 713, 4523, 593, 513, 2834, 4493, 267, 621, 779, 519, 3501, 942, 547, 4647, 1753, 563, 4002, 513, 2123, 1377, 267, 2997, 4275, 568, 1390, 585, 17655, 782, 540, 938, 2123, 5904, 585, 8290, 267, 17494, 267, 18858, 13568, 5563, 267, 22342, 2264, 543, 4376, 3116, 602, 949, 2014, 782, 540, 721, 2800, 269, 8616, 2073, 952, 596, 1616, 547, 581, 811, 17956, 693, 960, 267, 2997, 4275, 568, 4440, 711, 2614, 547, 2149, 596, 689, 782, 519, 1919, 269, 1403, 596, 616, 4179, 2517, 4178, 269, 1952, 338, 7666, 728, 3820, 270, 1492, 1532, 652, 2173, 531, 2264, 3491, 339, 1254, 270, 2469, 547, 581, 23842, 6119, 547, 707, 7500, 2780, 267, 610, 6148, 1256, 2324, 3842, 519, 4950, 689, 707, 24440, 543, 5514, 3457, 267, 596, 1058, 22992, 2015, 3478, 930, 1106, 540, 28456, 2780, 3301, 269, 3502, 1152, 666, 621, 1832, 707, 6213, 1344, 2922, 267, 855, 621, 786, 948, 2149, 596, 689, 8290, 267, 7708, 329, 753, 267, 18858, 329, 753, 267, 3618, 19095, 267, 543, 811, 269, 0, 300, 2562, 8379, 9331, 476, 1220, 20796, 9169, 256, 2336, 9743, 15297, 585, 960, 269, 24199, 4959, 589, 20591, 290, 4785, 31064, 570, 8008, 2975, 267, 32745, 8379, 9331, 5508, 476, 1220, 20796, 9169, 256, 2290, 540, 519, 2035, 596, 11402, 538, 519, 13220, 713, 9074, 729, 875, 547, 5431, 519, 946, 543, 21568, 540, 1344, 4843, 538, 519, 1106, 540, 21159, 269, 769, 713, 4901, 7084, 267, 596, 786, 2932, 606, 5769, 3406, 547, 1265, 1896, 1806, 540, 519, 946, 540, 21159, 269, 1452, 666, 581, 1806, 540, 21159, 1031, 538, 10229, 6811, 267, 4080, 2164, 689, 513, 1353, 267, 610, 1344, 3838, 676, 513, 2229, 8116, 269, 769, 513, 5934, 540, 476, 1220, 1913, 267, 2022, 547, 519, 17564, 9351, 707, 3210, 547, 519, 1739, 281, 4855, 606, 1383, 540, 1079, 540, 519, 1739, 2010, 540, 6165, 540, 21159, 269, 2422, 540, 21159, 607, 513, 6824, 269, 5457, 602, 713, 1826, 786, 946, 519, 2262, 540, 547, 17538, 8691, 269, 11512, 2436, 713, 729, 606, 2500, 1259, 547, 2099, 713, 1344, 1369, 519, 2796, 540, 519, 1383, 596, 1336, 269, 2422, 540, 21159, 547, 4766, 1689, 269, 769, 519, 1383, 596, 1265, 267, 3313, 2436, 519, 4080, 6871, 7152, 6207, 610, 3448, 1689, 269, 8058, 707, 960, 269, 11512, 2436, 713, 729, 606, 2500, 1259, 547, 2099, 713, 1344, 1369, 519, 2796, 540, 519, 1383, 596, 1336, 269, 2422, 540, 21159, 585, 6476, 269, 769, 519, 1383, 596, 1265, 267, 3313, 2436, 519, 4080, 6871, 7152, 6207, 610, 3448, 1689, 269, 8058, 707, 960, 269, 11512, 2436, 713, 729, 606, 2500, 1259, 547, 2099, 713, 1344, 1369, 519, 2796, 540, 519, 1383, 596, 1336, 269, 3767, 267, 1265, 606, 1383, 540, 1079, 540, 519, 1739, 3765, 4926, 540, 21159, 269, 2422, 540, 513, 13346, 4704, 1871, 269, 769, 713, 3510, 267, 519, 3490, 2418, 616, 4657, 607, 18312, 2418, 540, 21159, 616, 4294, 607, 4679, 267, 11081, 267, 610, 1312, 269, 20587, 720, 4679, 267, 11081, 267, 610, 1312, 798, 711, 723, 513, 19469, 1198, 269, 2142, 2386, 547, 6542, 1946, 707, 1383, 13352, 713, 7121, 269, 2422, 540, 6871, 547, 2099, 1447, 982, 4986, 269, 6733, 585, 606, 1383, 1141, 596, 616, 7487, 513, 5786, 540, 930, 6871, 3152, 982, 476, 1911, 269, 2142, 2386, 547, 6542, 1946, 707, 2483, 13356, 1707, 25159, 281, 2913, 2473, 328, 815, 519, 1297, 540, 18537, 538, 1977, 9413, 2473, 273, 815, 519, 1297, 540, 540, 18537, 538, 11114, 9413, 2098, 815, 7443, 634, 6662, 568, 547, 11694, 2698, 7443, 269, 7665, 2098, 815, 1862, 13971, 476, 2420, 476, 1708, 271, 454, 15253, 1393, 513, 476, 272, 6377, 10025, 693, 11485, 585, 513, 6125, 5092, 14769, 540, 918, 1704, 2929, 538, 513, 1279, 2990, 14322, 513, 476, 4817, 260, 6015, 8884, 952, 519, 4890, 3232, 3044, 11539, 3267, 13971, 476, 1626, 476, 1708, 271, 454, 12901, 527, 6412, 16572, 269, 5472, 527, 1258, 267, 5549, 1421, 543, 5213, 990, 534, 267, 13456, 1421, 616, 954, 8063, 15712, 9513, 2147, 14233, 267, 21246, 958, 538, 519, 2829, 540, 13325, 267, 18518, 267, 17996, 267, 543, 744, 6062, 1862, 13971, 476, 1015, 476, 1708, 272, 454, 288, 6109, 781, 2698, 4756, 3790, 786, 4096, 2390, 281, 288, 264, 519, 5777, 540, 922, 4756, 11378, 289, 264, 519, 2504, 2553, 602, 616, 1031, 290, 264, 519, 2179, 540, 3977, 3812, 291, 264, 782, 540, 519, 1862, 21801, 476, 6860, 476, 1708, 272, 454, 1692, 798, 707, 7836, 6208, 1860, 707, 3044, 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 ]
[ 594, 6785, 827, 741, 4978, 543, 2219, 594, 8910, 798, 513, 2370, 1382, 2094, 594, 899, 547, 1353, 824, 10764, 563, 2005, 568, 513, 1360, 2241, 5132, 609, 930, 2189, 3344, 602, 594, 1336, 4241, 563, 763, 27566, 630, 29455, 2048, 572, 2131, 32426, 4984, 602, 12090, 538, 7013, 5607, 1472, 519, 476, 1428, 628, 11416, 269, 634, 2262, 27566, 1797, 2048, 29171, 2118, 685, 610, 2048, 30700, 685, 543, 519, 4295, 3483, 540, 519, 5132, 568, 547, 3343, 593, 8864, 609, 2696, 269, 769, 1931, 547, 9101, 519, 4783, 540, 556, 4532, 28271, 267, 543, 1831, 835, 609, 2696, 267, 835, 1590, 7753, 519, 2947, 9465, 799, 616, 281, 561, 755, 267, 10845, 267, 26846, 267, 13613, 543, 24178, 563, 5353, 655, 5944, 7222, 609, 519, 2947, 9465, 616, 12572, 900, 21793, 602, 616, 16111, 12816, 1572, 519, 968, 26668, 918, 338, 7536, 268, 918, 21983, 630, 684, 12827, 4552, 267, 2356, 13615, 543, 20386, 538, 519, 27566, 5695, 3316, 267, 667, 770, 541, 8094, 268, 918, 18553, 630, 6229, 523, 2036, 267, 2356, 12816, 896, 519, 667, 770, 541, 8094, 268, 15576, 322, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26668, 918, 338, 630, 298, 752, 330, 1513, 17983, 607, 851, 540, 834, 32628, 1315, 31881, 11297, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 272, 281, 5548, 1324, 20553, 3776, 12815, 910, 634, 19043, 543, 11957, 540, 7731, 3778, 3194, 692, 1103, 2221, 781, 3728, 19550, 1158, 267, 1141, 2029, 814, 1831, 606, 7533, 851, 540, 938, 3232, 2729, 267, 621, 568, 2653, 547, 6336, 5905, 609, 938, 2250, 269, 1717, 267, 3695, 938, 22686, 8129, 666, 581, 1312, 24084, 2287, 543, 16180, 282, 621, 2636, 721, 547, 1174, 945, 649, 616, 676, 12423, 945, 649, 941, 269, 769, 713, 3184, 267, 649, 786, 1865, 519, 4644, 543, 2956, 540, 1920, 1686, 1382, 543, 4983, 875, 18167, 883, 938, 22693, 666, 6536, 513, 4514, 2631, 540, 3961, 543, 3483, 269, 5015, 267, 649, 786, 2263, 519, 1114, 2200, 2139, 585, 796, 792, 2251, 1920, 1686, 5638, 267, 1519, 5711, 12583, 267, 799, 1419, 2270, 17170, 1344, 5293, 1524, 998, 5481, 3842, 9423, 780, 4089, 476, 272, 269, 272, 281, 634, 10025, 540, 24531, 2290, 781, 24306, 692, 763, 13287, 540, 1920, 1686, 3091, 3875, 2640, 3564, 8806, 17598, 7279, 3823, 938, 2062, 321, 8986, 269, 12056, 538, 971, 18129, 6087, 721, 547, 1384, 272, 269, 3763, 513, 3152, 7071, 585, 3140, 2796, 281, 1635, 6313, 519, 2729, 540, 938, 11937, 267, 649, 2744, 5813, 883, 519, 1514, 267, 2797, 267, 543, 2804, 2175, 602, 8032, 741, 6228, 269, 901, 1702, 11942, 6568, 543, 2337, 721, 1732, 10146, 519, 9620, 543, 29217, 4810, 676, 1346, 945, 3357, 1354, 721, 780, 273, 269, 4980, 10675, 513, 6793, 4276, 547, 2686, 6561, 281, 4197, 938, 18577, 4282, 2488, 513, 21950, 13795, 2390, 799, 547, 1628, 938, 9163, 269, 898, 27875, 721, 547, 5389, 267, 4978, 267, 543, 9821, 602, 723, 1044, 12873, 543, 7960, 2429, 942, 267, 1128, 3739, 11348, 538, 938, 2189, 1200, 527, 1137, 780, 274, 269, 23340, 513, 2631, 540, 15364, 281, 32274, 938, 22871, 8761, 3270, 543, 4296, 1063, 5481, 267, 22348, 721, 602, 649, 616, 851, 540, 1945, 1454, 3677, 982, 6000, 269, 20876, 891, 6402, 7512, 4606, 540, 10362, 543, 3354, 780, 275, 269, 11559, 2565, 3206, 1983, 281, 10658, 3960, 1782, 856, 1950, 1920, 3347, 267, 7421, 6054, 585, 10881, 267, 543, 10442, 20849, 2963, 782, 2154, 10763, 1966, 9010, 5759, 269, 4935, 267, 2502, 538, 1920, 1686, 1382, 5713, 607, 606, 5140, 3635, 538, 28798, 5042, 31399, 625, 780, 4089, 476, 272, 269, 273, 281, 19484, 519, 23721, 540, 7731, 3778, 8249, 692, 2304, 11606, 540, 2326, 6818, 585, 1346, 5275, 547, 19586, 519, 13655, 540, 741, 2250, 269, 7324, 891, 616, 4013, 5638, 267, 12377, 10070, 267, 11147, 267, 543, 5711, 12583, 269, 3962, 1826, 540, 2707, 3091, 3982, 5383, 543, 2591, 267, 26089, 6297, 7156, 950, 8939, 3617, 18817, 585, 7634, 780, 309, 1388, 5638, 27137, 607, 4332, 22783, 267, 7365, 27121, 267, 543, 2669, 5638, 1765, 21865, 4196, 607, 519, 5127, 13702, 2390, 799, 5444, 11530, 673, 1382, 13210, 616, 3710, 269, 1452, 6054, 3335, 1683, 1898, 5013, 899, 4408, 267, 7389, 267, 543, 2199, 525, 267, 7175, 3173, 547, 3715, 2596, 10850, 585, 1367, 1920, 4054, 269, 6736, 741, 10626, 267, 2705, 267, 17034, 1978, 4105, 5638, 949, 6961, 2352, 1813, 547, 7834, 4031, 610, 824, 9993, 780, 290, 7185, 5638, 2099, 1776, 16832, 1907, 585, 5444, 11530, 1235, 269, 11814, 539, 1232, 3317, 6053, 676, 6608, 5001, 267, 789, 2709, 25135, 32718, 540, 10820, 1282, 1808, 2798, 538, 942, 267, 13830, 1239, 827, 11317, 262, 6502, 267, 23909, 267, 4025, 540, 5169, 267, 543, 811, 269, 2755, 14829, 679, 10179, 725, 666, 22113, 6626, 6848, 3466, 267, 789, 12212, 21372, 1367, 18408, 282, 17013, 1522, 1683, 25619, 610, 22522, 1344, 267, 3056, 547, 1761, 27753, 1369, 6383, 1920, 12583, 780, 302, 1537, 12583, 1459, 2943, 1776, 1797, 540, 11018, 4987, 827, 938, 11937, 269, 3117, 12371, 540, 11042, 5342, 609, 2713, 14077, 610, 29872, 1734, 267, 891, 6386, 4749, 8190, 8823, 543, 23278, 4925, 602, 1131, 6382, 979, 3768, 29545, 269, 5047, 267, 789, 1450, 585, 519, 25465, 540, 16148, 5380, 267, 1102, 6748, 6589, 609, 7553, 543, 8356, 766, 15534, 689, 1082, 2757, 2959, 269, 11048, 267, 13461, 9003, 593, 5711, 21981, 13514, 4220, 267, 607, 973, 565, 27928, 666, 28201, 267, 1831, 25302, 267, 610, 581, 6766, 676, 5007, 2188, 936, 942, 780, 4089, 476, 272, 269, 274, 281, 4498, 1145, 532, 519, 5295, 540, 17327, 2876, 1559, 538, 7731, 3194, 692, 2414, 11694, 519, 1761, 540, 5711, 12583, 1369, 1920, 1686, 13753, 267, 2015, 20170, 547, 519, 1739, 4808, 1384, 272, 269, 10576, 5078, 5396, 281, 16418, 856, 11361, 1894, 4171, 2833, 12732, 2789, 5481, 267, 607, 1134, 607, 1346, 28429, 20250, 1702, 540, 1713, 2621, 610, 5515, 1369, 707, 1920, 781, 521, 15676, 780, 273, 269, 16259, 9488, 2055, 281, 4813, 3634, 1930, 25804, 12987, 2966, 547, 29360, 2143, 6114, 1247, 10893, 9186, 269, 6201, 1331, 912, 567, 910, 2052, 596, 4766, 707, 9998, 3965, 5473, 1496, 4545, 652, 528, 316, 888, 567, 910, 1215, 1705, 707, 3237, 2743, 267, 543, 1018, 729, 741, 10470, 1222, 899, 888, 567, 910, 1548, 2186, 540, 960, 1705, 1496, 4545, 652, 528, 316, 798, 267, 543, 875, 1705, 621, 1764, 519, 1920, 2496, 274, 269, 16680, 29367, 281, 22982, 8301, 610, 3381, 3937, 5827, 540, 13830, 1164, 7779, 19827, 267, 4180, 9355, 543, 11091, 540, 10475, 8823, 780, 275, 269, 4856, 549, 4011, 622, 7682, 687, 281, 9061, 3146, 12401, 6811, 1500, 1282, 11042, 1996, 3964, 5013, 29742, 539, 689, 824, 2959, 267, 2357, 4328, 6111, 543, 11423, 10616, 538, 1620, 780, 276, 269, 3465, 2925, 6394, 2326, 281, 3690, 9216, 11042, 267, 4558, 3059, 6119, 18172, 267, 543, 2671, 4681, 609, 5461, 6105, 547, 2327, 4797, 10333, 543, 10419, 6672, 540, 19644, 8941, 780, 3528, 8508, 5711, 12583, 607, 513, 4570, 1106, 540, 12319, 543, 7598, 1655, 2853, 1282, 4015, 267, 2079, 267, 543, 23425, 267, 2413, 5444, 11530, 1235, 666, 3986, 741, 8223, 540, 22686, 6384, 1247, 7700, 547, 513, 3638, 9371, 540, 3838, 2984, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4462, 557, 4979, 519, 12815, 281, 10289, 519, 26548, 1127, 540, 7731, 3778, 19475, 454, 23991, 3778, 19475, 281, 1133, 24286, 519, 31981, 540, 2659, 1323, 6827, 832, 454, 9199, 1424, 938, 5072, 543, 26500, 519, 2984, 540, 938, 11937, 568, 513, 4241, 3460, 602, 13462, 721, 547, 938, 2250, 269, 7731, 1686, 5638, 1404, 513, 2629, 1909, 538, 713, 1391, 267, 3246, 3407, 4030, 543, 30196, 519, 11580, 540, 5481, 1279, 8854, 269, 1452, 5638, 4196, 607, 9486, 883, 519, 2729, 267, 2833, 267, 543, 23543, 540, 938, 21530, 25600, 267, 3850, 721, 547, 4062, 1927, 938, 1378, 2123, 12583, 563, 23991, 1686, 5638, 2097, 538, 1585, 3029, 267, 1142, 5356, 513, 2189, 5133, 593, 938, 22871, 269, 17510, 22783, 267, 7365, 27121, 267, 543, 2669, 5638, 616, 1851, 519, 1034, 1455, 2010, 540, 4105, 5638, 602, 1683, 1898, 3877, 827, 2043, 543, 741, 3347, 269, 1358, 2709, 5730, 7389, 267, 4408, 267, 543, 6753, 602, 948, 4020, 606, 4977, 1920, 3529, 563, 290, 7185, 5638, 616, 1776, 17170, 4199, 585, 5444, 11530, 1235, 269, 18430, 539, 693, 2834, 954, 9366, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 674, 4456, 6579, 312, 1299, 23781, 9569, 17239, 296, 4916, 1315, 7731, 3778, 1299, 2637, 7002, 9609, 1315, 17327, 3778, 14635, 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, 15557, 13437, 543, 12655, 4886, 538, 667, 8543, 23101, 2510, 692, 7072, 912, 763, 10683, 2872, 4249, 513, 1713, 1909, 538, 519, 2518, 1426, 1062, 543, 568, 2565, 547, 519, 24454, 540, 6634, 540, 1507, 14516, 6705, 5001, 269, 769, 1082, 3384, 2477, 267, 10683, 24625, 2510, 616, 513, 1455, 10721, 1106, 1031, 547, 2445, 267, 1184, 267, 543, 2344, 5144, 2472, 269, 13229, 5718, 693, 519, 18756, 1377, 568, 2629, 585, 5009, 6940, 543, 4180, 1279, 3856, 1967, 269, 901, 3184, 786, 2263, 519, 2078, 1063, 5718, 2773, 543, 4264, 1646, 538, 519, 2796, 540, 10683, 2029, 543, 4702, 269, 1284, 786, 4983, 875, 1585, 15295, 2188, 3310, 5718, 2773, 538, 10683, 24625, 2510, 543, 1865, 2994, 585, 5355, 5718, 7145, 780, 4089, 476, 272, 281, 4197, 15557, 13437, 538, 667, 8543, 23101, 2510, 692, 22117, 11429, 2773, 4016, 547, 519, 4110, 547, 799, 513, 6205, 31267, 741, 3853, 543, 9797, 5222, 741, 13794, 262, 8456, 267, 5615, 267, 543, 4093, 269, 769, 519, 2796, 540, 10683, 24625, 2510, 267, 5718, 2773, 13315, 1896, 1883, 2127, 267, 1519, 2883, 2359, 267, 10512, 4398, 267, 4759, 6278, 267, 543, 6940, 2853, 269, 1677, 6218, 5718, 2773, 267, 621, 568, 2556, 547, 2708, 1312, 6662, 10832, 630, 324, 3052, 1421, 8907, 2208, 267, 1942, 5786, 264, 543, 16148, 3800, 630, 324, 3052, 1421, 4759, 9547, 267, 9441, 27907, 6393, 4089, 476, 273, 281, 5915, 4919, 11790, 543, 15557, 13437, 538, 667, 8543, 23101, 2510, 692, 10932, 5267, 602, 1978, 15295, 2188, 666, 3310, 5718, 2773, 538, 10683, 24625, 2510, 269, 1452, 2188, 1331, 1384, 265, 12409, 5426, 281, 14451, 2157, 540, 2069, 949, 581, 2404, 609, 3152, 1702, 540, 2413, 10683, 4066, 543, 1870, 2359, 2853, 267, 3056, 547, 4824, 5718, 2773, 269, 1717, 267, 6101, 2069, 4805, 949, 711, 10018, 2500, 5718, 267, 607, 824, 2188, 630, 7945, 607, 1995, 543, 14375, 1983, 264, 849, 1404, 1271, 5107, 563, 265, 6520, 281, 24771, 3401, 949, 723, 811, 1995, 543, 12250, 1702, 267, 799, 1223, 3565, 547, 6793, 5718, 2773, 269, 2201, 519, 824, 1688, 267, 7820, 3401, 949, 3142, 4195, 5380, 543, 5499, 2093, 602, 948, 5397, 1689, 543, 2087, 6940, 2853, 563, 265, 15232, 607, 22810, 26064, 281, 19881, 5718, 1995, 1369, 519, 18756, 610, 2147, 3906, 666, 1683, 3407, 4030, 543, 1983, 1115, 602, 3986, 2949, 5718, 2773, 269, 3958, 267, 4810, 3401, 1419, 4865, 2178, 5121, 543, 3347, 609, 8639, 267, 14123, 5698, 543, 4199, 4254, 16478, 780, 4089, 476, 274, 281, 11150, 585, 25947, 15557, 13437, 538, 667, 8543, 23101, 2510, 692, 2414 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16326, 513, 3017, 538, 4908, 1063, 1079, 5094, 4992, 602, 616, 607, 2370, 607, 476, 273, 21636, 563, 3963, 616, 4908, 543, 12334, 1644, 888, 4407, 4908, 3800, 519, 4783, 2557, 540, 519, 2168, 5951, 845, 267, 12334, 568, 875, 1164, 610, 1970, 621, 4992, 950, 596, 5873, 621, 269, 901, 568, 2047, 1644, 547, 4908, 281, 519, 2362, 519, 4908, 540, 513, 5951, 845, 267, 519, 2362, 519, 12334, 540, 519, 3280, 596, 5873, 563, 3963, 993, 594, 6217, 891, 1164, 8486, 3481, 12451, 888, 307, 11624, 4523, 950, 649, 29596, 5873, 513, 3280, 602, 1281, 711, 2097, 689, 1022, 2707, 3544, 519, 1560, 269, 898, 568, 711, 513, 2068, 267, 855, 513, 10835, 540, 606, 5817, 1966, 269, 634, 6846, 568, 2356, 16148, 267, 2495, 602, 1152, 519, 1268, 945, 814, 13046, 666, 5873, 621, 269, 634, 1034, 1455, 1106, 568, 513, 11931, 267, 1164, 1790, 17097, 30366, 563, 1692, 798, 596, 2995, 952, 513, 5951, 814, 513, 2362, 12334, 888, 288, 2362, 4908, 3280, 814, 513, 2362, 12334, 267, 543, 513, 2539, 4908, 3280, 814, 513, 2539, 12334, 269, 769, 7612, 476, 1015, 269, 273, 3280, 589, 814, 513, 2362, 12334, 982, 3280, 645, 269, 1280, 3236, 267, 519, 669, 597, 335, 540, 513, 6177, 1131, 723, 513, 1164, 12334, 267, 855, 519, 887, 541, 540, 513, 17794, 1131, 723, 513, 1970, 12334, 269, 634, 1480, 1274, 666, 3713, 513, 2647, 2039, 540, 12451, 563, 1692, 568, 4908, 540, 3280, 1644, 547, 12334, 888, 763, 14815, 540, 513, 4908, 568, 4122, 5219, 547, 607, 519, 12334, 540, 513, 3280, 269, 634, 12334, 540, 519, 3280, 649, 5873, 5673, 593, 519, 4908, 540, 519, 3280, 5951, 269, 589, 1164, 4908, 3280, 5951, 814, 513, 1164, 12334, 267, 543, 513, 1970, 4908, 3280, 814, 513, 1970, 12334, 563, 1432, 5540, 3280, 12334, 888, 303, 3558, 5673, 547, 513, 14758, 4110, 593, 519, 3280, 2604, 1377, 630, 331, 3716, 1145, 267, 4320, 264, 540, 519, 3159, 267, 2523, 693, 12451, 2630, 476, 272, 267, 1822, 21636, 543, 1657, 476, 273, 267, 1822, 21636, 269, 634, 12334, 540, 2539, 18565, 4991, 2539, 607, 3280, 2604, 4679, 563, 1432, 568, 519, 3017, 1063, 1164, 12334, 543, 1970, 12334, 888, 11947, 1700, 335, 17097, 4992, 723, 2110, 20966, 267, 799, 1797, 602, 519, 19589, 616, 2673, 1927, 269, 8899, 1700, 335, 17097, 4992, 723, 3476, 20966, 267, 865, 519, 19589, 616, 811, 3262, 856, 563, 1432, 4908, 568, 513, 1164, 12334, 888, 273, 267, 1822, 21636, 288, 1970, 268, 4908, 3280, 568, 827, 476, 4335, 21636, 610, 2539, 269, 589, 1164, 268, 4908, 3280, 568, 827, 476, 273, 267, 1822, 21636, 543, 2362, 269, 2271, 3748, 568, 6027, 538, 1232, 756, 1564, 630, 323, 289, 264, 1496, 291, 2464, 268, 7795, 1532, 6160, 4940, 589, 1164, 27233, 630, 331, 3716, 264, 3280, 814, 513, 1164, 1232, 756, 601, 1377, 563, 9989, 12334, 2333, 609, 4908, 888, 303, 3558, 568, 875, 1164, 610, 1970, 649, 5873, 513, 3280, 547, 581, 269, 1403, 519, 4908, 568, 2362, 267, 519, 12334, 568, 2362, 269, 2560, 1677, 9959, 267, 519, 2362, 519, 4908, 267, 519, 2362, 519, 12334, 269, 634, 2539, 519, 4908, 267, 519, 2539, 519, 12334, 563, 1692, 1281, 4908, 1860, 12334, 888, 303, 3558, 5673, 593, 519, 4908, 540, 513, 3280, 5951, 269, 2560, 589, 1970, 23151, 5951, 609, 1279, 20966, 267, 971, 607, 519, 835, 3812, 676, 519, 2620, 5186, 752, 540, 513, 8685, 320, 267, 2306, 513, 1970, 1790, 17097, 3280, 269, 1323, 1843, 31954, 1360, 3728, 7472, 513, 1164, 1790, 17097, 3280, 267, 1247, 606, 1843, 31954, 14887, 7472, 513, 2539, 1790, 17097, 3280, 563, 9989, 2362, 4908, 1611, 2362, 12334, 888, 763, 2362, 519, 4908, 6329, 14251, 622, 267, 519, 2362, 519, 12334, 540, 519, 3280, 649, 5873, 269, 1306, 596, 1294, 267, 3280, 4908, 568, 5462, 676, 519, 1259, 538, 799, 3280, 6329, 14251, 622, 15029, 21409, 547, 938, 10772, 267, 2495, 602, 789, 14595, 1063, 735, 7675, 543, 15198, 519, 5420, 267, 799, 538, 1034, 2665, 568, 2011, 563, 1432, 568, 519, 3017, 1063, 4908, 543, 12334, 888, 293, 15968, 568, 513, 2168, 7274, 799, 3947, 1297, 540, 21513, 829, 2034, 6466, 12334, 568, 513, 829, 24632, 7274, 799, 5673, 2390, 519, 26575, 267, 538, 1249, 938, 10772, 30397, 519, 12334, 711, 519, 4908, 563, 4692, 3280, 6329, 2951, 538, 12511, 888, 306, 895, 6329, 616, 21409, 21513, 540, 5536, 538, 2923, 971, 607, 2011, 267, 1216, 610, 4496, 269, 2560, 1924, 621, 6763, 547, 2601, 602, 789, 3112, 2951, 998, 8900, 2230, 267, 1141, 972, 616, 1100, 8444, 610, 6675, 547, 5854, 622, 563, 1432, 2306, 513, 12334, 3280, 2362, 888, 295, 27941, 8486, 3481, 4992, 3132, 6329, 799, 616, 6251, 1927, 982, 585, 2539, 8486, 3481, 4992, 269, 2560, 6271, 3815, 799, 7472, 2362, 8486, 3481, 4967, 568, 519, 8082, 1369, 519, 31954, 1843, 269, 589, 13176, 5569, 666, 581, 22934, 547, 513, 2362, 12334, 676, 14577, 519, 5569, 8082, 518, 563, 9989, 4908, 1860, 1648, 888, 763, 2179, 540, 1648, 789, 4163, 568, 1644, 547, 741, 4908, 543, 741, 17931, 269, 634, 2362, 519, 4908, 267, 519, 811, 1648, 267, 543, 519, 2362, 519, 17931, 267, 519, 811, 1648, 563, 9989, 17931, 1860, 12334, 888, 763, 3677, 519, 17931, 540, 519, 6329, 267, 519, 21514, 1457, 519, 3280, 269, 623, 3558, 630, 325, 15968, 264, 1107, 3254, 676, 519, 19437, 540, 519, 6329, 10268, 269, 634, 6251, 1927, 519, 6329, 616, 267, 519, 2362, 519, 12334, 540, 519, 3280, 269, 2560, 1924, 4992, 476, 273, 543, 476, 274, 616, 519, 1482, 4320, 630, 600, 680, 3363, 1070, 855, 476, 274, 814, 2362, 12334, 630, 325, 15968, 1916, 2710, 782, 4992, 723, 12334, 888, 7197, 4992, 616, 711, 1018, 596, 1131, 1289, 513, 7574, 4063, 267, 3159, 267, 610, 12334, 269, 2560, 1924, 538, 2110, 267, 782, 4992, 616, 1500, 856, 540, 7574, 8486, 2583, 267, 855, 711, 782, 4992, 616, 7574, 8486, 2583, 563, 1432, 568, 12334, 5288, 3159, 888, 303, 3558, 568, 513, 9228, 4909, 4908, 540, 3280, 1247, 3159, 568, 519, 2048, 638, 1275, 685, 540, 3280, 269, 476, 273, 269, 769, 519, 2361, 540, 2575, 267, 12334, 568, 519, 4890, 1871, 540, 513, 3159, 1247, 3159, 568, 519, 11098, 540, 519, 4063, 269, 476, 274, 563, 4692, 1079, 12451, 723, 519, 1482, 12334, 888, 6546, 568, 267, 1079, 3280, 6329, 3280, 1434, 950, 5129, 1927, 952, 835, 3280, 814, 7466, 519, 4908, 540, 519, 824, 16634, 293, 15968, 267, 623, 3558, 543, 5274, 32185, 269, 11328, 1998, 293, 15968, 22472, 14300, 19177, 628, 275, 281, 31172, 273, 21636, 543, 476, 16348, 21636, 293, 604, 628, 274, 281, 24487, 275, 21636, 543, 476, 16348, 21636, 273, 811, 9343, 0, 27028, 5193, 569, 621, 1281, 269, 4826, 5726, 568, 1945, 602, 782, 540, 721, 991, 547, 581, 3206, 827, 543, 2015, 14139, 538, 938, 4948, 2729, 269, 3502, 1152, 568, 621, 1434, 585, 938, 4541, 543, 2200, 855, 621, 779, 1434, 585, 721, 543, 3025, 1472, 721, 269, 769, 519, 2475, 649, 946, 513, 31417, 2179, 540, 1216, 267, 609, 1142, 1977, 1210, 5111, 476, 7785, 20990, 540, 1216, 593, 519, 3232, 269, 1677, 2322, 602, 883, 5133, 2576, 538, 5245, 3096, 827, 476, 30420, 20990, 543, 2576, 538, 513, 3384, 2197, 1131, 946, 1175, 476, 1428, 20990, 3193, 269, 1924, 267, 1018, 1281, 782, 713, 1611, 267, 543, 1018, 1058, 649, 798, 888, 763, 2179, 540, 1216, 649, 2461, 4867, 1210, 568, 3648, 2362, 982, 621, 4440, 1058, 581, 269, 4826, 568, 25579, 27720, 267, 855, 621, 6157, 814, 922, 7182, 268, 543, 1697, 6704, 1216, 814, 1256, 811, 7182, 269, 634, 7887, 5855, 538, 1216, 5726, 568, 1210, 1932, 1454, 1216, 1932, 3728, 267, 1354, 519, 4199, 814, 519, 4960, 547, 25579, 880, 269, 3414, 519, 1216, 4783, 1454, 540, 519, 1216, 649, 946, 7475, 909, 2469, 998, 519, 20517, 543, 4947, 1394, 1524, 547, 3047, 268, 2705, 267, 519, 1216, 1281, 711, 2097, 1394, 538, 519, 1482, 2179, 267, 538, 519, 1482, 4087, 267, 610, 519, 1482, 2298, 269, 3807, 899, 1034, 824, 1919, 267, 519, 811, 1945, 568, 1031, 267, 519, 811, 8297, 1441, 621, 3587, 269, 1879, 621, 2501, 547, 519, 4541, 267, 1216, 5726, 568, 2877, 547, 3136, 547, 2844, 1272, 269, 1403, 972, 3884, 1406, 2614, 1216, 547, 979, 1472, 267, 31685, 1223, 2049, 267, 543, 8134, 1223, 12900, 269, 634, 2856, 568, 547, 18359, 1631, 267, 547, 4688, 1919, 2663, 1524, 519, 4155, 563, 12850, 568, 607, 1271, 547, 1480, 1272, 607, 2011, 568, 269, 1403, 596, 991, 621, 267, 8458, 616, 865, 1281, 15608, 689, 1524, 519, 3625, 269, 1809, 811, 11932, 267, 865, 1281, 707, 2199, 6694, 6080, 267, 13184, 267, 5687, 29741, 3740, 1379, 21870, 267, 543, 3595, 6728, 269, 4826, 568, 606, 1898, 851, 540, 938, 3232, 2729, 267, 543, 607, 972, 779, 1152, 865, 1454, 547, 979, 1472, 267, 649, 666, 1406, 782, 723, 782, 540, 621, 269, 4826, 3653, 689, 4948, 1004, 19017, 666, 2731, 1039, 909, 543, 1860, 2199, 6080, 952, 649, 5749, 1406, 6297, 269, 898, 779, 1271, 547, 581, 13533, 540, 1866, 543, 547, 2671, 609, 1866, 563, 15563, 267, 1216, 5726, 666, 2047, 1860, 596, 269, 17610, 267, 596, 949, 711, 2661, 547, 1294, 519, 1554, 519, 3047, 8255, 856, 540, 4195, 1216, 610, 7198, 606, 856, 540, 1852, 3595, 609, 1100, 1216, 547, 22937, 948, 269, 1809, 1945, 596, 2693, 786, 1294, 568, 707, 4871, 3948, 268, 1169, 3923, 693, 602, 269, 1403, 267, 585, 4986, 3116, 267, 25137, 1216, 267, 849, 2337, 596, 547, 18359, 519, 2724, 538, 707, 23129, 269, 16424, 707, 1216, 1210, 786, 1439, 909, 16715, 707, 10626, 3790, 543, 25137, 1648, 538, 519, 1184, 267, 782, 3056, 547, 596, 9494, 2724, 563, 12850, 5726, 2731, 1152, 814, 22705, 1938, 269, 1411, 4688, 519, 2104, 540, 938, 4541, 267, 1866, 267, 543, 707, 2724, 269, 2353, 540, 602, 538, 5385, 585, 5594, 10156, 29636, 543, 1216, 5464, 286, 16319, 899, 513, 4308, 547, 721, 2336, 4263, 674, 4954, 22496, 1773, 17741, 267, 649, 20647, 538, 3888, 338, 267, 18203, 267, 543, 24422, 585, 782, 540, 707, 1134, 267, 1216, 267, 543, 21818, 2115, 269, 3776, 1920, 24804, 543, 13234, 1870, 814, 3710, 513, 10639, 607, 519, 1655, 1673, 21749, 1919, 519, 1318, 1259, 609, 519, 6075, 538, 2247, 267, 1169, 942, 269, 12315, 721, 513, 1289, 693, 476, 31816, 268, 4200, 273, 268, 271, 4510, 278, 547, 1865, 707, 2115, 2221, 256, 0, 1103, 9456, 5245, 267, 519, 3328, 5412, 5336, 1105, 11811, 1282, 5487, 15281, 29823, 1296, 568, 476, 736, 260, 2362, 982, 519, 1279, 3856, 3328, 267, 609, 5216, 540, 519, 4557, 6632, 11687, 971, 5712, 9648, 1282, 5487, 15281, 29823, 1296, 269, 2560, 11569, 267, 519, 6632, 11687, 1296, 593, 2594, 585, 5245, 7018, 1282, 519, 2178, 476, 1001, 271, 1700, 1001, 273, 543, 476, 3192, 275, 5487, 15281, 29823, 2621, 563, 3674, 5245, 538, 513, 5487, 715, 2088, 888, 303, 6680, 7909, 1107, 5487, 15281, 29823, 269, 2560, 1306, 1134, 607, 811, 11811, 2066, 9456, 267, 3844, 543, 7187, 5245, 267, 5487, 15281, 29823, 568, 849, 2404, 609, 16830, 24817, 5210, 5045, 540, 519, 21050, 923, 267, 543, 513, 3152, 1297, 540, 9341, 7814, 2158, 269, 634, 1699, 5487, 15281, 29823, 568, 4397, 547, 6414, 2394, 693, 2547, 5130, 476, 1708, 272, 563, 3674, 5245, 538, 513, 5487, 715, 2088, 610, 4432, 715, 3626, 888, 17442, 15281, 29823, 2250, 8445, 267, 855, 3310, 4397, 547, 3136, 454, 763, 476, 1708, 271, 1700, 2641, 5487, 15281, 29823, 5170, 547, 3310, 5245, 543, 519, 6626, 7414, 19438, 269, 2560, 8693, 2203, 19773, 338, 5815, 519, 4432, 15281, 25123, 1700, 306, 4822, 744, 12965, 566, 630, 2894, 12569, 264, 786, 2132, 547, 9243, 1282, 15489, 267, 602, 568, 267, 9444, 5487, 15281, 29823, 6862, 4432, 15281, 25123, 563, 3674, 5487, 715, 2088, 6632, 610, 3819, 888, 8489, 4432, 15281, 25123, 568, 6632, 267, 5487, 15281, 29823, 568, 3819, 269, 2755, 4432, 15281, 25123, 2175, 543, 741, 12119, 5222, 1413, 1360, 1114, 689, 3339, 267, 5487, 15281, 29823, 2175, 1419, 3142, 24475, 602, 616, 6093, 2443, 1152, 811, 865, 563, 9989, 5487, 715, 2088, 1611, 4764, 888, 17442, 15281, 29823, 267, 899, 4432, 15281, 25123, 267, 568, 513, 4365, 4806, 602, 666, 2049, 538, 519, 7414, 7909, 1169, 1906 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 293, 7002, 1399, 2274, 25771, 320, 4873, 476, 866, 267, 476, 1001, 277, 6096, 454, 3383, 1018, 1826, 540, 3211, 1058, 596, 1205, 286, 32506, 1141, 596, 2731, 1745, 602, 707, 1126, 2115, 811, 16590, 269, 1284, 4749, 723, 713, 2856, 602, 3211, 616, 1175, 585, 2979, 269, 901, 267, 6923, 267, 568, 711, 1483, 269, 2755, 789, 616, 14222, 3457, 585, 12570, 6128, 19178, 971, 607, 519, 8691, 7515, 543, 8257, 18408, 267, 789, 616, 8449, 607, 3407, 585, 12570, 2694, 540, 4633, 610, 519, 2829, 538, 519, 9769, 269, 1703, 616, 513, 2898, 3984, 540, 3211, 2228, 602, 596, 666, 8415, 950, 596, 2461, 6029, 707, 20194, 547, 17492, 269, 589, 1297, 540, 891, 2874, 540, 17157, 691, 602, 786, 6157, 948, 519, 10453, 3605, 519, 21089, 540, 5022, 543, 4484, 30012, 269, 1703, 616, 824, 9212, 602, 4217, 519, 27466, 324, 3605, 547, 2328, 1010, 17017, 2338, 269, 898, 779, 3730, 2348, 7792, 3211, 585, 1945, 971, 607, 713, 267, 1813, 547, 519, 1249, 602, 3237, 4122, 979, 998, 3875, 540, 891, 1354, 519, 1126, 18544, 2870, 519, 5022, 610, 2338, 7157, 563, 1103, 930, 2665, 3214, 616, 3177, 13004, 3211, 1141, 789, 991, 547, 5173, 519, 3902, 540, 2798, 610, 960, 856, 875, 1454, 1689, 11129, 547, 581, 2016, 593, 2472, 602, 1305, 596, 1394, 1269, 274, 269, 2568, 950, 2576, 2490, 936, 513, 476, 276, 13362, 3915, 269, 2791, 1522, 798, 519, 1739, 281, 1107, 5136, 1555, 873, 547, 12094, 538, 543, 1289, 519, 1614, 2472, 267, 1107, 1403, 972, 616, 1100, 2592, 593, 519, 4976, 1287, 1683, 513, 6656, 540, 1957, 547, 4482, 543, 512, 842, 519, 2472, 543, 1287, 2759, 873, 856, 543, 13594, 873, 5196, 519, 4976, 267, 1107, 4495, 789, 723, 2944, 713, 3406, 585, 2947, 9489, 538, 14842, 543, 849, 948, 873, 1293, 856, 519, 2724, 543, 849, 3313, 1018, 568, 2451, 454, 273, 269, 9119, 3211, 1810, 1406, 14441, 1271, 3206, 269, 9119, 3211, 10355, 2307, 1053, 547, 3494, 12517, 610, 21176, 269, 1358, 3335, 1459, 3875, 1806, 540, 519, 3169, 1482, 1966, 2186, 609, 519, 4126, 540, 17923, 513, 5578, 610, 2126, 269, 1358, 798, 711, 4161, 27466, 525, 547, 946, 2362, 1931, 7744, 1983, 971, 607, 17804, 267, 7421, 267, 7744, 267, 543, 849, 5663, 269, 1452, 5759, 616, 3710, 609, 2238, 538, 799, 1053, 3605, 2093, 267, 2638, 856, 2093, 267, 1449, 513, 3069, 267, 4194, 513, 1966, 267, 543, 2689, 741, 3206, 609, 741, 9905, 269, 10289, 2093, 543, 849, 2042, 538, 1896, 1797, 13976, 2557, 540, 1719, 543, 849, 8992, 1271, 3206, 563, 2467, 616, 849, 7855, 602, 946, 891, 1826, 540, 2409, 547, 1397, 538, 513, 811, 2780, 19347, 6073, 269, 634, 1523, 568, 547, 2226, 3214, 5461, 2094, 1510, 741, 3007, 267, 621, 568, 2352, 547, 1118, 873, 10110, 1018, 596, 616, 3843, 547, 13599, 269, 1703, 616, 1896, 2010, 540, 3211, 596, 666, 946, 607, 513, 21927, 5351, 269, 3689, 568, 7801, 1357, 3817, 269, 901, 568, 1390, 538, 6029, 19920, 519, 1585, 4778, 607, 1134, 607, 741, 4408, 267, 543, 849, 519, 3617, 1259, 547, 2681, 269, 2060, 3689, 27207, 267, 3214, 3605, 4010, 875, 547, 1118, 2596, 13492, 607, 1134, 607, 10508, 538, 519, 5613, 540, 741, 4674, 563, 17582, 18694, 4245, 882, 11229, 689, 10992, 856, 519, 5528, 16965, 267, 547, 3257, 3732, 2152, 607, 513, 1895, 267, 547, 11264, 519, 4976, 14384, 630, 528, 693, 15335, 609, 3237, 1070, 1554, 538, 543, 1554, 856, 269, 26189, 532, 4170, 547, 581, 811, 982, 8429, 856, 3211, 269, 6787, 596, 616, 519, 1362, 14357, 267, 3872, 11285, 267, 610, 2385, 267, 519, 2553, 596, 8415, 3648, 3310, 519, 4110, 540, 9301, 12913, 676, 707, 10453, 563, 3080, 540, 519, 1034, 1271, 2460, 540, 891, 2979, 3211, 568, 602, 789, 616, 8246, 585, 23468, 543, 711, 585, 519, 1292, 8670, 1382, 2090, 269, 2334, 568, 1946, 789, 616, 8246, 676, 21493, 547, 3761, 9354, 24875, 543, 849, 676, 3237, 538, 707, 1753, 547, 2327, 602, 789, 666, 2709, 741, 3214, 3773, 24875, 547, 24917, 741, 1983, 269, 9119, 568, 1634, 547, 581, 9157, 543, 849, 568, 2356, 513, 15677, 585, 519, 1762, 4061, 519, 2979, 3211, 1044, 2139, 538, 5363, 538, 4543, 8207, 713, 3390, 269, 3509, 7064, 547, 519, 4609, 936, 519, 4950, 602, 2709, 5360, 21747, 7792, 2979, 3211, 267, 596, 798, 711, 2154, 547, 5855, 827, 519, 13258, 540, 11449, 835, 267, 7654, 1175, 519, 13504, 3902, 269, 1924, 1810, 1406, 979, 1818, 2300, 4926, 585, 711, 1373, 2111, 547, 1569, 513, 6128, 2816, 6656, 563, 30357, 13192, 14079, 476, 277, 2979, 3584, 476, 277, 628, 3446, 1455, 4295, 2979, 3211, 1265, 513, 2979, 20131, 18946, 9981, 1806, 544, 9383, 2979, 568, 1187, 11708, 21632, 3446, 2979, 2042, 609, 4267, 28581, 1893, 6575, 2238, 476, 275, 628, 3446, 1966, 6061, 3211, 705, 322, 2979, 3756, 585, 476, 273, 526, 17603, 9904, 585, 9656, 7317, 2979, 3756, 585, 2034, 3446, 9981, 540, 3636, 909, 2979, 2042, 2596, 2979, 1837, 6460, 8918, 547, 6824, 2318, 9981, 3446, 476, 276, 2979, 3211, 8454, 7792, 2259, 6656, 2724, 2055, 2979, 772, 332, 3966, 594, 16988, 16549, 0, 305, 1168, 843, 532, 267, 938, 1507, 4603, 267, 513, 1788, 602, 519, 808, 327, 321, 10960, 16685, 11233, 814, 3323, 538, 5988, 476, 1708, 272, 563, 1607, 2546, 568, 1869, 896, 4070, 2676, 2492, 1394, 547, 1294, 938, 3356, 454, 2108, 305, 1168, 843, 532, 892, 4016, 547, 19620, 630, 534, 1858, 540, 2244, 264, 547, 922, 2067, 4608, 738, 17300, 1533, 630, 4310, 2523, 609, 4704, 547, 519, 32543, 3174, 540, 2249, 540, 3552, 3662, 602, 723, 1044, 9141, 856, 610, 608, 32558, 730, 1916, 306, 597, 6424, 2311, 1084, 28386, 267, 538, 1010, 2487, 4670, 267, 968, 288, 5020, 593, 938, 14136, 892, 263, 15187, 26530, 1070, 3081, 602, 538, 1010, 10715, 267, 476, 3583, 260, 540, 519, 1158, 779, 3552, 4025, 723, 1044, 10032, 269, 1261, 3081, 602, 2825, 9552, 630, 10175, 2916, 1689, 264, 568, 519, 1158, 779, 1034, 1271, 3390, 563, 9834, 260, 540, 519, 2527, 540, 11864, 593, 3618, 616, 3425, 543, 938, 30042, 2831, 3248, 10602, 260, 540, 519, 5017, 593, 3618, 616, 538, 938, 11396, 3248, 2004, 260, 540, 519, 1158, 779, 15417, 2244, 568, 16916, 563, 763, 2530, 540, 9265, 568, 17116, 547, 12900, 519, 1272, 540, 519, 3618, 563, 3891, 3091, 2947, 1883, 3527, 547, 9258, 713, 7678, 912, 24965, 576, 3653, 267, 2661, 16434, 569, 267, 3970, 4616, 3248, 24965, 576, 5779, 4616, 282, 1689, 547, 513, 811, 2030, 2861, 2732, 3248, 8196, 811, 2973, 22812, 2908, 762, 1648, 543, 824, 4264, 2200, 3248, 10048, 720, 519, 12084, 1732, 630, 6339, 1740, 540, 1100, 1922, 880, 10851, 11850, 2704, 869, 2470, 547, 9156, 910, 16780, 5971, 6915, 1673, 1751, 267, 17370, 843, 563, 2108, 9596, 547, 2661, 609, 7186, 267, 2864, 982, 1996, 621, 7536, 2108, 27832, 6915, 1673, 1751, 10522, 513, 1447, 7123, 1158, 7536, 1607, 1507, 17370, 843, 532, 1788, 2882, 912, 5522, 1218, 602, 3132, 5452, 585, 5017, 630, 332, 32576, 1299, 3141, 25154, 994, 289, 2273, 829, 577, 4609, 454, 295, 756, 1716, 659, 4918, 630, 342, 5793, 18956, 338, 585, 7786, 994, 8448, 5521, 19788, 2371, 538, 519, 4677, 454, 2171, 4126, 547, 6542, 875, 2241, 3527, 666, 7520, 9265, 1256, 538, 606, 4683, 1858, 563, 2005, 779, 513, 960, 538, 3356, 16634, 2859, 547, 2097, 269, 16731, 721, 1586, 547, 1294, 1018, 779, 1007, 563, 28317, 5020, 593, 3776, 14136, 892, 3004, 8814, 630, 273, 1295, 994, 22081, 547, 4688, 938, 4541, 2108, 454, 338, 7685, 630, 292, 1186, 476, 272, 269, 476, 5392, 2381, 264, 630, 15187, 26530, 264, 0, 293, 5419, 5373, 267, 1215, 1677, 8571, 667, 1905, 539, 28577, 2060, 11511, 1078, 674, 9529, 654, 8667, 956, 2201, 1849, 5847, 28577, 1656, 19537, 704, 344, 1215, 1677, 8571, 5153, 1635, 5153, 14301, 20861, 338, 269, 634, 24106, 593, 713, 5373, 786, 5734, 519, 1570, 689, 519, 2953, 2427, 540, 519, 5373, 269, 3689, 540, 782, 649, 2721, 519, 11315, 5581, 540, 519, 26642, 269, 538, 713, 5373, 267, 519, 5958, 1058, 2887, 607, 952, 621, 568, 8380, 936, 1079, 29945, 269, 5153, 476, 273, 281, 1205, 3323, 554, 10248, 519, 26642, 563, 8512, 476, 275, 5741, 476, 272, 11644, 476, 272, 14301, 28577, 4635, 7412, 1656, 570, 821, 570, 2088, 590, 18248, 744, 8619, 14301, 476, 272, 269, 3973, 649, 786, 4483, 883, 519, 811, 2143, 3268, 540, 2870, 707, 5958, 16145, 10257, 269, 5153, 476, 272, 281, 2253, 676, 602, 20647, 538, 971, 1919, 607, 17114, 267, 5546, 543, 519, 1259, 538, 799, 1282, 799, 519, 1570, 546, 1905, 525, 269, 6875, 4063, 540, 519, 4287, 540, 519, 26642, 543, 1491, 883, 6589, 875, 519, 1570, 568, 546, 1905, 539, 936, 519, 3337, 602, 6013, 18284, 267, 581, 621, 513, 6989, 267, 1843, 610, 1480, 3313, 269, 11408, 1832, 538, 2247, 547, 4482, 1018, 596, 5469, 8957, 1018, 596, 8263, 596, 1294, 269, 1215, 547, 4482, 5958, 26642, 2653, 1900, 676, 1900, 3872, 269, 14301, 1957, 282, 4704, 3239, 282, 875, 547, 4482, 5958, 26642, 519, 4081, 1900, 476, 272, 281, 519, 16861, 5373, 563, 293, 5419, 24305, 12430, 27748, 774, 514, 7412, 16503, 1674, 7956, 850, 2552, 712, 9576, 1399, 5131, 1849, 760, 11301, 966, 26662, 1656, 14351, 16503, 1674, 12005, 476, 1911, 279, 4343, 276, 3445, 269, 5153, 1614, 2721, 519, 8905, 540, 519, 5958, 2469, 1524, 519, 12718, 269, 16258, 4388, 281, 875, 547, 2721, 5958, 795, 820, 838, 545, 518, 13632, 606, 1931, 569, 4640, 547, 16602, 26642, 269, 476, 272, 2721, 519, 1570, 781, 7291, 609, 513, 476, 273, 321, 15513, 269, 8921, 267, 2721, 519, 1034, 13747, 1212, 1162, 269, 5901, 707, 7436, 5714, 543, 11716, 1022, 4130, 1212, 1162, 269, 476, 273, 20419, 1369, 519, 1646, 593, 519, 5958, 269, 13772, 856, 547, 2721, 1688, 5006, 1018, 596, 7747, 267, 1100, 3476, 1018, 596, 616, 24584, 547, 1294, 269, 1215, 547, 2721, 5958, 1900, 676, 1900, 4739, 1910, 269, 1215, 547, 4482, 5958, 1900, 676, 1900, 269, 1677, 1376, 707, 5373, 267, 1665, 519, 1034, 13747, 15244, 602, 1995, 519, 3350, 610, 1880, 8905, 543, 1287, 1747, 20224, 593, 519, 3283, 3515, 563, 8512, 476, 275, 5741, 476, 272, 11644, 476, 272, 14301, 28577, 4635, 7412, 1656, 570, 821, 570, 2088, 590, 18248, 744, 8619, 14301, 476, 272, 269, 8571, 5958, 26642, 267, 538, 3210, 547, 513, 5373, 676, 682, 517, 16037, 13005, 24064, 857, 269, 4427, 18285, 281, 585, 513, 1007, 1148, 3381, 1169, 1985, 281, 554, 269, 28577, 12400, 693, 7206, 1998, 2917, 635, 2263, 25819, 269, 2353, 519, 1655, 2009, 5958, 12400, 476, 3451, 266, 934, 29471, 593, 713, 1357, 2985, 269, 2142, 6126, 547, 2263, 267, 1265, 856, 827, 543, 1995, 1148, 960, 609, 269, 1215, 547, 4482, 5958, 26642, 1483, 3168, 27948, 5373, 269, 1215, 547, 4482, 16536, 5958, 1900, 476, 272, 269, 5192, 29035, 609, 606, 24814, 713, 1131, 581, 519, 1283, 540, 519, 12718, 519, 5958, 568, 9788, 2390, 269, 2422, 519, 554, 321, 15513, 585, 713, 269, 5153, 476, 273, 2721, 1022, 824, 267, 3677, 24814, 896, 269, 901, 949, 12212, 1711, 513, 2653, 6316, 540, 1570, 1951, 13949, 1524, 676, 1797, 540, 8904, 267, 2705, 711, 9575, 547, 519, 1490, 1074, 540, 519, 12718, 563, 8512, 476, 275, 5741, 476, 272, 11644, 476, 272, 28577, 1656, 4813, 14301, 28577, 4635, 7412, 1656, 570, 821, 1656, 16699, 590, 744, 8619, 5530, 18248, 269, 2142, 6297, 547, 2721, 1152, 1018, 596, 7747, 711, 1018, 596, 2503, 547, 1294, 269, 1677, 1376, 707, 5373, 1665, 519, 1034, 7986, 3515, 602, 723, 519, 3350, 610, 1808, 4287, 543, 1287, 1747, 20224, 593, 1346, 3515, 269, 476, 272, 2721, 519, 17234, 7291, 609, 513, 476, 273, 321, 15513, 563, 1692, 1677, 8571, 28577, 5153, 1635, 5153, 269, 8921, 2721, 519, 1034, 7986, 1212, 1162, 269, 11408, 3314, 547, 2721, 1018, 596, 1294, 607, 10353, 547, 1018, 596, 1589, 596, 1294, 269, 10670, 676, 2519, 593, 1919, 899, 17114, 5546, 543, 519, 1259, 538, 799, 519, 5958, 546, 1905, 525, 563, 293, 5419, 1656, 4813, 14301, 28577, 4635, 7412, 1656, 570, 821, 269, 3399, 609, 606, 24814, 713, 786, 581, 519, 1283, 540, 519, 12718, 519, 5958, 568, 9788, 2390, 269, 2353, 519, 1655, 5958, 12400, 476, 3451, 6394 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5077, 513, 3782, 3318, 1354, 1210, 873, 269, 12708, 11041, 666, 2170, 609, 1978, 6527, 543, 949, 711, 581, 2922, 585, 3025, 563, 2252, 596, 1995, 1022, 8801, 6547, 547, 1898, 11041, 267, 19944, 826, 946, 5612, 543, 3343, 2564, 3007, 952, 2556, 269, 898, 779, 1271, 547, 946, 1898, 11041, 9108, 543, 19100, 547, 28231, 741, 1761, 2640, 585, 8194, 563, 21761, 18542, 5999, 454, 1432, 616, 930, 20762, 1898, 11041, 602, 666, 948, 609, 8194, 888, 7922, 2105, 1898, 11041, 666, 581, 513, 1390, 1259, 547, 2232, 8194, 269, 2368, 2442, 24025, 1331, 32175, 267, 536, 1120, 600, 582, 267, 543, 586, 331, 836, 268, 2643, 836, 267, 799, 666, 948, 547, 9350, 519, 8401, 1062, 543, 2569, 4160, 269, 4033, 24025, 602, 949, 581, 2500, 585, 8194, 1331, 18367, 4532, 1619, 267, 5070, 531, 6229, 267, 543, 17022, 1853, 563, 1432, 616, 930, 2500, 2081, 547, 946, 1898, 11041, 585, 6689, 8194, 888, 21609, 3125, 8194, 666, 581, 3226, 4101, 547, 2232, 267, 855, 1898, 11041, 666, 581, 513, 5363, 1907, 269, 2368, 2500, 2081, 547, 946, 1898, 11041, 585, 6689, 8194, 1331, 886, 6748, 11041, 538, 519, 1126, 779, 23103, 267, 1210, 513, 16945, 4252, 11100, 593, 519, 4420, 1682, 540, 741, 3952, 267, 610, 6220, 11041, 883, 513, 22196, 8602, 563, 1432, 616, 930, 1898, 11041, 602, 666, 948, 609, 17971, 888, 303, 15056, 666, 581, 513, 27676, 2783, 267, 855, 1898, 11041, 949, 581, 2111, 547, 948, 269, 2368, 1898, 11041, 602, 949, 581, 2500, 585, 17971, 1331, 32175, 267, 18367, 4532, 1619, 267, 543, 536, 1120, 600, 582, 269, 1452, 11041, 666, 948, 547, 2569, 4160, 267, 3895, 11005, 267, 543, 2087, 3207, 563, 1692, 666, 1898, 11041, 581, 1031, 585, 4744, 27937, 888, 291, 1170, 27937, 666, 581, 513, 4101, 10835, 540, 8194, 267, 855, 1898, 11041, 949, 581, 2111, 547, 948, 269, 2368, 11041, 602, 949, 581, 2500, 585, 4744, 27937, 1331, 18367, 4532, 1619, 267, 5070, 531, 6229, 267, 543, 17022, 1853, 269, 1452, 11041, 666, 948, 547, 2666, 519, 1367, 543, 3895, 4606, 540, 3106, 543, 3354, 563, 1432, 616, 930, 5820, 538, 23247, 13813, 888, 9199, 6373, 13813, 568, 513, 2442, 11100, 602, 666, 581, 2500, 585, 5466, 2168, 8194, 269, 898, 3335, 3568, 1614, 5820, 281, 818, 333, 3821, 267, 853, 269, 3627, 779, 530, 677, 267, 543, 30300, 3121, 269, 1452, 5820, 666, 948, 547, 2569, 1928, 267, 6553, 267, 543, 20015, 2358, 563, 1432, 616, 930, 2081, 547, 5305, 8194, 689, 519, 1560, 1510, 1898, 11041, 888, 4407, 1898, 11041, 666, 581, 513, 5363, 1907, 585, 5466, 8194, 267, 972, 616, 824, 2081, 547, 5305, 8194, 689, 519, 1560, 269, 2368, 2500, 2409, 1331, 3797, 267, 9066, 267, 10649, 267, 543, 3635, 269, 1452, 2853, 666, 948, 547, 3895, 11005, 267, 2569, 4160, 267, 543, 5305, 8082, 689, 519, 1560, 269, 0, 295, 842, 281, 634, 9436, 1922, 30480, 4551, 616, 605, 28648, 5328, 14471, 602, 2981, 9436, 3154, 689, 519, 5790, 883, 6378, 9436, 7135, 267, 585, 3236, 267, 20342, 267, 6491, 1679, 543, 24277, 799, 616, 1031, 676, 2371, 563, 28415, 1900, 676, 1900, 2626, 281, 589, 2603, 540, 10636, 582, 13116, 4551, 616, 1336, 538, 519, 3037, 269, 1452, 4551, 4368, 513, 8101, 2179, 540, 9436, 689, 519, 5790, 1510, 1022, 1463, 5872, 609, 824, 7103, 269, 21193, 4088, 1922, 30480, 4551, 616, 5631, 540, 1079, 2010, 282, 1623, 25027, 610, 8994, 2065, 269, 1452, 2249, 540, 4551, 616, 1336, 538, 3597, 12162, 2737, 540, 1978, 2371, 899, 22053, 269, 634, 2371, 540, 519, 890, 320, 1920, 616, 1572, 22053, 269, 1358, 616, 930, 540, 519, 2101, 14747, 585, 519, 9436, 1922, 30480, 4551, 269, 2368, 824, 2371, 849, 1683, 12062, 547, 519, 9436, 1922, 30480, 4551, 269, 23225, 1806, 540, 1623, 25027, 9436, 1922, 30480, 4551, 616, 10910, 714, 984, 1756, 630, 527, 568, 3622, 2404, 609, 2371, 538, 519, 890, 320, 1920, 849, 1634, 607, 22053, 264, 543, 1896, 10897, 2214, 597, 650, 636, 2249, 630, 28205, 616, 2404, 609, 23611, 21823, 1040, 634, 1863, 2000, 1516, 9436, 1922, 30480, 4551, 1331, 519, 19826, 27627, 630, 528, 4544, 25984, 13479, 264, 585, 1383, 267, 1323, 19487, 6511, 267, 715, 739, 665, 267, 543, 824, 25281, 267, 585, 3236, 267, 10897, 582, 14385, 267, 2142, 6359, 518, 514, 1188, 807, 543, 1849, 739, 5090, 1756, 563, 21206, 1344, 281, 21193, 4088, 30651, 568, 540, 1079, 2010, 267, 12077, 267, 2168, 9436, 30651, 543, 6211, 9436, 30651, 269, 21193, 4088, 568, 519, 1034, 11342, 543, 1898, 12550, 3887, 6123, 538, 2713, 7103, 6306, 689, 3327, 267, 7250, 543, 5135, 269, 21193, 4088, 13408, 476, 4037, 260, 540, 519, 2011, 538, 519, 5790, 563, 9616, 281, 21193, 4088, 30651, 568, 519, 1505, 799, 2882, 519, 7503, 540, 9436, 3154, 689, 519, 5790, 883, 824, 7135, 899, 20342, 267, 24277, 543, 6491, 27866, 269, 1452, 7135, 666, 581, 1031, 2047, 676, 2371, 543, 2831, 269, 634, 1614, 2101, 2081, 540, 9436, 30651, 616, 676, 17500, 267, 676, 4853, 2409, 543, 676, 4551, 2713, 538, 519, 3037, 269, 0, 309, 698, 1400, 14717, 770, 25124, 454, 309, 698, 1400, 13803, 5563, 616, 3361, 676, 513, 17343, 1572, 15443, 5866, 11549, 15092, 269, 14717, 770, 454, 732, 6263, 7103, 602, 7363, 2661, 538, 1507, 2338, 593, 519, 2960, 543, 3330, 519, 29199, 563, 763, 15755, 1604, 540, 519, 29199, 2337, 1832, 13803, 689, 3395, 269, 1403, 519, 29199, 3587, 454, 1652, 15755, 267, 1932, 1082, 13803, 666, 1332, 543, 2014, 513, 21420, 3968, 0, 22349, 1258, 2246, 338, 786, 723, 547, 7227, 2394, 1985, 1032, 1354, 10760, 547, 519, 7599, 543, 1776, 1906, 1296, 1354, 13941, 593, 621, 267, 896, 519, 5767, 5180, 540, 17799, 9307, 676, 8331, 593, 13638, 563, 763, 2230, 8116, 1185, 9709, 547, 6494, 2185, 20691, 1472, 519, 7599, 3735, 713, 1032, 267, 855, 14593, 519, 8184, 547, 5181, 476, 1708, 276, 1317, 540, 3106, 543, 2930, 2152, 269, 634, 1101, 1480, 7599, 13941, 538, 811, 982, 476, 2004, 1296, 849, 3893, 536, 22981, 267, 689, 476, 1708, 276, 547, 5181, 476, 1708, 277, 563, 2108, 32552, 568, 938, 1283, 10862, 2223, 1767, 8331, 8556, 15249, 9291, 20307, 269, 634, 17799, 786, 968, 326, 633, 3203, 28087, 6887, 811, 942, 547, 960, 998, 519, 2591, 3034, 763, 3377, 3357, 18923, 606, 5662, 1310, 513, 29016, 2754, 14460, 922, 1378, 3801, 547, 2244, 922, 14361, 593, 519, 7599, 1317, 540, 513, 5692, 268, 2056, 4492, 13451, 563, 303, 699, 326, 9068, 779, 4492, 2042, 454, 17442, 684, 3481, 593, 11728, 607, 851, 540, 8331, 779, 5010, 16264, 1982, 267, 8330, 13681, 5328, 5303, 779, 28828, 326, 9068, 2244, 518, 729, 9277, 547, 4196, 607, 513, 1085, 719, 585, 519, 20691, 269, 589, 20279, 2754, 786, 2285, 621, 513, 8929, 609, 922, 1378, 2244, 518, 1985, 3923, 563, 22498, 568, 13461, 8185, 593, 4357, 3549, 585, 922, 3203, 28087, 7599, 268, 1633, 532, 1982, 585, 20691, 267, 3957, 1310, 519, 29631, 18618, 11078, 540, 21011, 563, 22129, 311, 779, 25578, 1222, 803, 8615, 15177, 786, 581, 2877, 547, 1205, 519, 1101, 3203, 28087, 7599, 19769, 619, 689, 16264, 10739, 1524, 547, 519, 2627, 543, 1394, 909, 269, 1809, 519, 5176, 476, 6110, 20356, 630, 13199, 2173, 2678, 264, 15177, 814, 9250, 689, 7147, 1152, 7466, 267, 1011, 5317, 1312, 2053, 936, 519, 13323, 540, 6792, 563, 763, 3476, 621, 3217, 547, 1205, 25578, 1222, 883, 10739, 1472, 3047, 267, 1101, 609, 15408, 543, 1287, 1212, 9749, 267, 519, 3476, 8331, 786, 723, 547, 7227, 547, 3801, 922, 1101, 7599, 13941, 609, 20691, 2094, 476, 3192, 273, 269, 4438, 8331, 779, 21011, 5736, 267, 476, 1321, 20691, 15336, 593, 519, 7599, 563, 7468, 10675, 3549, 685, 2930, 7965, 454, 763, 6554, 10055, 1464, 8433, 19230, 538, 5437, 602, 8331, 729, 2693, 3168, 693, 476, 1708, 278, 585, 922, 1101, 16106, 7599, 13941, 267, 19696, 4432, 517, 30073, 779, 25578, 1222, 607, 835, 540, 519, 1082, 2930, 2591, 269, 6271, 1761, 19224, 548, 281, 519, 1646, 540, 7599, 19769, 532, 17015, 676, 20279, 779, 589, 3495, 558, 6611, 563, 14071, 991, 873, 782, 547, 581, 4712, 543, 782, 547, 581, 3811, 538, 1931, 585, 602, 1360, 7294, 5692, 547, 2097, 1927, 2223, 1767, 589, 2466, 918, 338, 1002, 686, 5984, 267, 8331, 779, 1244, 14280, 12314, 23070, 563, 22498, 814, 1152, 835, 3203, 28087, 24262, 14653, 896, 922, 12966, 865, 2484, 269, 769, 513, 1449, 8184, 540, 922, 1007, 7599, 15177, 538, 476, 1708, 273, 267, 519, 2230, 8116, 2366, 606, 8900, 2107, 542, 23555, 883, 16264, 10739, 543, 8120, 621, 547, 3047, 269, 898, 779, 519, 1482, 2186, 540, 23555, 20691, 786, 946, 547, 8038, 547, 543, 689, 519, 7599, 267, 16046, 909, 609, 25578, 1222, 538, 16264, 10739, 585, 519, 7552, 1524, 547, 519, 2627, 563, 1805, 1513, 1222, 786, 991, 547, 6445, 909, 922, 4492, 7382, 538, 10739, 1472, 3047, 267, 1354, 16144, 547, 519, 7599, 269, 6611, 311, 4566, 606, 28835, 4492, 1244, 582, 547, 6023, 519, 2816, 267, 1776, 1883, 2460, 540, 519, 1982, 2943, 547, 581, 7152, 563, 22498, 779, 7599, 268, 1633, 532, 4674, 814, 1044, 16607, 14578, 936, 519, 2250, 8717, 267, 4946, 547, 17542, 540, 9489, 547, 519, 1942, 269, 6554, 32116, 1788, 519, 2698, 1982, 3790, 693, 1269, 11152, 5479, 998, 476, 1708, 276, 0, 32481, 476, 1015, 267, 1220, 14514, 267, 513, 2189, 1004, 2813, 538, 2025, 26277, 16288, 267, 630, 852, 851, 540, 11894, 1070, 2687, 547, 519, 28448, 11231, 13418, 540, 2367, 543, 2021, 547, 1020, 543, 596, 949, 11349, 2371, 269, 6969, 267, 519, 6216, 1007, 25874, 689, 513, 1434, 3148, 779, 2371, 6382, 1216, 3761, 14593, 25433, 3766, 520, 1877, 337, 2950, 547, 948, 596, 1847, 1472, 538, 5461, 538, 4189, 7727, 269, 29088, 12734, 7239, 9044, 539, 1282, 519, 4025, 602, 4764, 610, 824, 2175, 3177, 15417, 12406, 547, 1332, 7123, 10664, 602, 723, 2241, 3946, 4559, 269, 634, 3376, 2287, 2179, 540, 1852, 540, 2470, 4389, 922, 13829, 593, 3356, 532, 8733, 4170, 547, 1378, 1967, 269, 898, 711, 729, 2838, 547, 546, 3558, 741, 4087, 547, 11654, 9623, 543, 7307, 547, 3605, 8628, 17260, 269, 634, 21777, 24972, 12734, 2029, 7768, 513, 1390, 4308, 811, 21356, 543, 596, 949, 3972, 10290, 1465, 267, 1291, 865, 1454, 811, 3510, 2533, 543, 2472, 543, 596, 949, 6236, 519, 22294, 585, 519, 1101, 7678, 1369, 519, 1004, 6595, 281, 519, 4195, 1007, 683, 18070, 4838, 563, 9556, 4328, 4441, 543, 596, 949, 16369, 7132, 3366, 930, 7239, 538, 1931, 547, 3494, 538, 519, 1007, 29143, 1709, 689, 10130, 1141, 12602, 13087, 269, 27051, 476, 279, 267, 1911, 1822, 14514, 267, 1268, 2950, 3323, 547, 917, 741, 12588, 547, 948, 596, 10536, 543, 596, 666, 9742, 4620, 269, 12815, 7394, 2950, 3494, 538, 519, 5767, 29143, 1709, 2476, 689, 2831, 607, 513, 4179, 2517, 4178, 6155, 908, 17213, 532, 14492, 270, 527, 30032, 4186, 686, 2987, 1181, 1794, 1308, 328, 270, 4199, 547, 723, 1967, 269, 5502, 540, 1991, 547, 6968, 338, 2006, 3766, 520, 1877, 3464, 4010, 945, 16941, 7357, 593, 3964, 1344, 547, 1832, 1483, 942, 267, 29009, 2950, 941, 2111, 547, 16196, 13184, 3478, 12129, 267, 856, 22327, 267, 543, 596, 786, 6283, 267, 3257, 606, 4430, 540, 2472, 269, 4173, 3429, 267, 610, 29009, 267, 7239, 18423, 9930, 19631, 607, 789, 729, 538, 1249, 8078, 730, 547, 979, 1310, 741, 2831, 547, 948, 596, 1007, 8023, 12406, 563, 307, 578, 731, 4367, 856, 540, 24972, 12734, 543, 596, 786, 29009, 2950, 883, 519, 683, 18070, 5951, 267, 11931, 6694, 1147, 680, 4926, 3323, 547, 581, 3812, 267, 2551, 24186, 8476, 267, 14468, 23909, 3715, 267, 543, 596, 786, 2950, 862, 10642, 13455, 4123, 2059, 609, 824, 2199, 2950, 269, 3171, 24851, 543, 596, 949, 13137, 543, 8057, 883, 19221, 856, 540, 13284, 1127, 269, 7324, 519, 1082, 5728, 10124, 540, 707, 683, 18070, 5951, 3976, 729, 6896, 267, 6848, 8635, 281, 519, 1646, 540, 513, 1576, 2497, 2687, 547, 1382, 676, 519, 3261, 566, 540, 1147, 680, 4926, 269, 769, 519, 683, 18070, 2950, 267, 2392, 5344, 593, 8105, 610, 13442, 9393, 787, 1317, 741, 1797, 540, 1646, 267, 4971, 936, 1753, 6382, 13184, 5828, 883, 519, 1101, 2010, 540, 2123, 22590, 596, 547, 9090, 4847, 602, 15151, 1507, 6824, 950, 4058, 593, 2921, 1007 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1281, 10871, 295, 739, 3409, 9562, 610, 5539, 585, 971, 3688, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 269, 0, 10666, 713, 1576, 454, 21202, 4605, 568, 4502, 513, 8536, 1913, 2668, 1284, 616, 782, 5432, 609, 713, 4082, 269, 898, 2523, 10039, 950, 3843, 547, 2491, 519, 5813, 5833, 689, 519, 2079, 540, 5051, 1804, 1239, 5036, 269, 4578, 14839, 4249, 606, 1898, 1909, 538, 519, 6041, 540, 1312, 1507, 543, 1804, 4336, 1239, 269, 2290, 540, 519, 1883, 1983, 540, 513, 1239, 10196, 568, 519, 2702, 547, 2995, 513, 8903, 1650, 267, 3308, 1944, 1239, 543, 4681, 538, 606, 3839, 543, 18398, 1259, 269, 4804, 875, 547, 15407, 513, 3301, 1907, 547, 14650, 1239, 786, 849, 5512, 596, 547, 1349, 1344, 267, 1732, 1174, 519, 1239, 267, 543, 1118, 811, 2500, 3664, 563, 763, 1292, 3804, 540, 713, 1576, 568, 547, 4001, 596, 875, 547, 1491, 1239, 602, 693, 1101, 16145, 814, 2370, 2495, 543, 1459, 602, 1239, 538, 513, 1106, 602, 2306, 2631, 547, 1004, 269, 15316, 2553, 723, 1044, 2919, 585, 9306, 1239, 11617, 855, 538, 713, 1576, 267, 649, 786, 581, 1210, 1896, 1239, 14839, 8021, 538, 5124, 267, 12077, 32287, 267, 26026, 1941, 267, 543, 23205, 1756, 563, 268, 21602, 476, 272, 910, 4985, 547, 10439, 1436, 13088, 454, 268, 4985, 547, 4578, 10439, 1436, 454, 268, 4985, 547, 32287, 454, 268, 9978, 18140, 1154, 609, 32287, 454, 268, 13096, 553, 564, 593, 26790, 547, 4516, 454, 268, 7412, 1773, 1824, 454, 268, 21602, 476, 273, 910, 9978, 10439, 1436, 13088, 454, 268, 9351, 1773, 1824, 454, 268, 4446, 932, 11301, 454, 268, 21602, 476, 274, 910, 7981, 1242, 10439, 1436, 13088, 454, 268, 26629, 932, 11301, 454, 268, 13340, 1773, 1824, 454, 268, 2480, 2660, 1773, 1824, 454, 268, 32686, 1076, 1773, 1824, 454, 268, 21602, 476, 275, 910, 11628, 10439, 1436, 13088, 454, 268, 654, 3530, 548, 932, 11301, 454, 268, 6478, 1849, 10796, 454, 268, 1530, 629, 1941, 543, 22953, 1773, 1824, 454, 268, 21602, 476, 276, 910, 12861, 21476, 543, 10439, 1944, 2983, 2214, 7652, 4578, 454, 268, 4985, 547, 23205, 1756, 454, 268, 21476, 609, 4460, 619, 454, 268, 932, 528, 963, 628, 21476, 454, 268, 898, 568, 1582, 19550, 563, 268, 898, 666, 581, 3144, 693, 1022, 942, 563, 268, 5124, 476, 6200, 454, 268, 4578, 5811, 609, 5124, 454, 292, 7568, 707, 15149, 454, 5629, 596, 723, 6192, 713, 1576, 267, 596, 786, 7118, 707, 15149, 269, 0, 296, 4312, 1044, 2542, 998, 1250, 1837, 827, 25300, 307, 1963, 267, 543, 621, 3081, 547, 946, 513, 6305, 1297, 585, 519, 2450, 540, 606, 5044, 950, 556, 327, 4770, 621, 267, 2705, 621, 3085, 1405, 2491, 1946, 269, 594, 4312, 849, 3619, 690, 1194, 621, 543, 519, 1655, 2626, 594, 4312, 1336, 729, 834, 1721, 2930, 4128, 2580, 1018, 616, 891, 4128, 607, 547, 1946, 6305, 2338, 1058, 581, 1031, 585, 519, 2450, 540, 513, 25300, 8368, 888, 2005, 5673, 593, 519, 19474, 1599, 269, 13018, 267, 16116, 513, 6305, 585, 519, 814, 6255, 762, 2450, 949, 22771, 585, 519, 1249, 602, 519, 19474, 1599, 1031, 568, 4057, 543, 1419, 7024, 21412, 814, 1127, 585, 2418, 602, 2049, 6923, 1927, 1282, 11056, 269, 589, 6305, 1297, 585, 519, 2450, 540, 519, 814, 6255, 762, 10607, 519, 8458, 602, 1022, 968, 704, 1675, 892, 519, 19474, 1599, 949, 723, 568, 5266, 6305, 609, 519, 2450, 540, 519, 814, 6255, 762, 563, 2252, 1210, 606, 5140, 19474, 1599, 267, 971, 607, 513, 6939, 4919, 19474, 1599, 267, 596, 666, 946, 1022, 814, 6255, 762, 2450, 1510, 5855, 269, 589, 1379, 540, 1079, 568, 10464, 1317, 519, 6498, 3587, 513, 3787, 332, 2532, 563, 296, 723, 1224, 602, 538, 28162, 19474, 14090, 781, 2450, 568, 1379, 540, 476, 273, 543, 602, 568, 1317, 621, 2337, 769, 3160, 3892, 540, 2609, 936, 5044, 269, 594, 1589, 1210, 6305, 1297, 568, 849, 585, 519, 3483, 540, 9319, 16580, 543, 547, 15814, 2609, 8449, 269, 21207, 564, 4994, 568, 4956, 607, 19474, 13892, 260, 541, 7590, 1125, 267, 3767, 267, 952, 2450, 568, 1022, 12432, 1297, 1287, 972, 616, 811, 8458, 540, 16580, 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 ]
[ 10545, 1297, 540, 2947, 9704, 799, 568, 16883, 676, 476, 1428, 267, 476, 2767, 543, 476, 3374, 888, 14006, 539, 3057, 476, 2764, 267, 476, 1001, 278, 692, 1428, 9943, 2767, 9943, 3374, 815, 630, 274, 9943, 276, 264, 9943, 263, 274, 9943, 274, 9943, 274, 264, 9943, 263, 276, 9943, 278, 2020, 2005, 4667, 602, 519, 10545, 15410, 2877, 1223, 581, 1384, 274, 9943, 274, 9943, 274, 9943, 276, 9943, 278, 815, 476, 280, 3393, 692, 663, 547, 1205, 519, 1101, 476, 276, 18251, 1297, 2348, 713, 1305, 540, 16975, 1384, 280, 3393, 6398, 476, 1556, 815, 476, 1015, 1109, 4375, 276, 692, 24987, 3057, 476, 2764, 267, 476, 1001, 278, 676, 20822, 692, 13436, 10658, 26072, 454, 266, 272, 8917, 692, 288, 476, 2004, 7857, 1297, 267, 16883, 676, 476, 1724, 267, 568, 607, 5205, 910, 692, 8340, 519, 1871, 540, 544, 269, 0, 258, 23227, 622, 519, 3961, 2387, 320, 318, 263, 333, 266, 272, 9984, 320, 5332, 815, 476, 273, 319, 952, 2387, 320, 318, 263, 333, 6661, 273, 333, 266, 274, 319, 26042, 16829, 593, 692, 2005, 568, 2016, 602, 2387, 320, 5332, 815, 476, 273, 333, 1341, 476, 274, 26384, 763, 3961, 2387, 320, 318, 263, 333, 266, 272, 264, 910, 513, 5332, 815, 476, 273, 319, 814, 547, 581, 9863, 780, 319, 320, 318, 263, 333, 266, 272, 264, 910, 513, 5332, 26384, 284, 2387, 273, 3799, 1341, 476, 272, 264, 1341, 476, 274, 910, 630, 273, 333, 1341, 476, 274, 23375, 692, 284, 476, 273, 333, 1341, 476, 273, 1341, 476, 274, 910, 476, 273, 333, 910, 476, 274, 692, 27784, 476, 273, 692, 1607, 18327, 602, 2387, 320, 318, 263, 333, 266, 272, 264, 910, 513, 5332, 815, 476, 273, 319, 952, 2387, 320, 5332, 815, 476, 273, 333, 1341, 476, 274, 319, 0, 258, 634, 1133, 777, 860, 2045, 4223, 11490, 1014, 692, 1012, 2859, 918, 739, 6390, 10606, 692, 5575, 1577, 779, 2446, 513, 1906, 811, 2489, 2164, 827, 918, 739, 6390, 2338, 780, 16449, 782, 519, 3349, 14513, 602, 15652, 1269, 333, 8961, 621, 1058, 581, 2312, 602, 18159, 333, 9385, 28256, 836, 2401, 697, 315, 14153, 10608, 4935, 519, 918, 739, 6390, 1297, 1269, 298, 3709, 263, 333, 9385, 14153, 4151, 568, 711, 8850, 4642, 269, 769, 1249, 267, 594, 2161, 602, 621, 779, 2141, 1269, 272, 10608, 11569, 267, 519, 3337, 568, 513, 2582, 4737, 609, 1269, 333, 259, 13366, 267, 543, 519, 1543, 4399, 14153, 259, 3947, 721, 513, 1592, 540, 2338, 267, 7654, 609, 930, 28197, 269, 1703, 779, 4010, 835, 1259, 547, 6582, 713, 1592, 883, 4617, 569, 2810, 1931, 2059, 519, 2582, 4737, 267, 4758, 1269, 298, 3709, 263, 333, 9385, 14153, 13157, 272, 16859, 4002, 519, 824, 3665, 267, 4399, 14433, 315, 28256, 836, 2401, 697, 263, 272, 18898, 29408, 865, 1269, 298, 18155, 14433, 263, 272, 18898, 264, 4151, 1522, 581, 1875, 14706, 269, 634, 3337, 568, 2016, 676, 4399, 14433, 8961, 543, 519, 1543, 18159, 272, 18898, 7751, 3947, 835, 7127, 540, 1142, 1871, 689, 1269, 272, 259, 547, 1269, 333, 10608, 1703, 616, 1100, 2009, 13366, 547, 10956, 267, 543, 865, 1022, 5033, 626, 663, 731, 3349, 879, 609, 1543, 18159, 272, 18898, 7751, 568, 2965, 3044, 269, 4935, 1269, 298, 18155, 14433, 263, 272, 18898, 264, 13157, 325, 23373, 14433, 259, 2443, 519, 1297, 540, 3044, 3349, 14513, 540, 3337, 4399, 14433, 16859, 1607, 1797, 602, 649, 666, 31693, 519, 9074, 1269, 300, 3867, 263, 272, 18898, 264, 4151, 1384, 7445, 6234, 631, 3867, 263, 272, 18898, 14587, 7807, 15927, 6955, 639, 315, 3916, 1080, 18155, 14433, 348, 325, 23373, 14433, 590, 23373, 14433, 6911, 3719, 1269, 325, 23373, 14433, 7807, 323, 574, 22829, 23373, 14433, 29408, 799, 1797, 1142, 9048, 3027, 1043, 1269, 306, 5332, 27572, 7116, 2544, 2982, 909, 1934, 609, 513, 3818, 13109, 3160, 547, 922, 10155, 269, 2334, 568, 267, 1269, 300, 3867, 263, 272, 18898, 264, 4151, 568, 2141, 519, 2451, 2834, 6041, 780, 302, 10798, 267, 1631, 1577, 779, 1413, 693, 513, 2407, 1383, 585, 513, 2582, 3903, 540, 4399, 14153, 10608, 13018, 267, 1577, 4399, 14153, 14352, 273, 267, 273, 267, 272, 30879, 2334, 568, 267, 649, 2461, 3168, 585, 5033, 626, 663, 731, 3349, 14513, 540, 1585, 5546, 267, 782, 609, 1079, 13366, 540, 1871, 1269, 272, 8961, 1079, 540, 1871, 1269, 273, 8961, 543, 835, 540, 1871, 1269, 274, 10608, 1703, 616, 2947, 5546, 4399, 14433, 259, 609, 4399, 14433, 315, 28256, 836, 2401, 697, 18091, 315, 14153, 10608, 1280, 1142, 835, 267, 649, 786, 1413, 585, 782, 519, 2081, 540, 11423, 621, 609, 519, 2838, 1543, 780, 7445, 6234, 17961, 15204, 2410, 764, 764, 4153, 14433, 14352, 273, 267, 273, 267, 272, 264, 261, 315, 8218, 15204, 2410, 764, 4153, 12712, 2280, 261, 315, 12712, 2280, 11138, 315, 12712, 2280, 261, 315, 12712, 2280, 11138, 315, 12712, 2280, 261, 315, 754, 15204, 31905, 315, 8218, 15204, 2410, 764, 348, 272, 261, 272, 11138, 273, 261, 273, 11138, 274, 261, 315, 754, 15204, 31905, 11138, 315, 327, 1467, 315, 14433, 14352, 274, 267, 272, 267, 272, 264, 261, 315, 8218, 15204, 2410, 764, 322, 4153, 12712, 2280, 261, 315, 12712, 2280, 261, 315, 12712, 2280, 11138, 315, 12712, 2280, 261, 261, 11138, 315, 12712, 2280, 261, 261, 315, 754, 15204, 31905, 315, 8218, 15204, 2410, 764, 322, 348, 272, 261, 272, 261, 273, 11138, 273, 261, 261, 11138, 274, 261, 261, 315, 754, 15204, 31905, 11138, 315, 327, 1467, 315, 14433, 14352, 274, 267, 273, 264, 261, 315, 8218, 15204, 2410, 764, 322, 4153, 12712, 2280, 261, 315, 12712, 2280, 261, 315, 12712, 2280, 11138, 315, 12712, 2280, 261, 315, 12712, 2280, 261, 315, 754, 15204, 31905, 315, 8218, 15204, 2410, 764, 322, 348, 272, 261, 272, 261, 273, 11138, 273, 261, 274, 261, 315, 754, 15204, 31905, 315, 8218, 15204, 2410, 764, 322, 348, 272, 261, 272, 261, 274, 11138, 273, 261, 273, 261, 315, 754, 15204, 4153, 11138, 327, 1467, 315, 14433, 14352, 275, 267, 272, 264, 261, 315, 8218, 15204, 2410, 764, 764, 4153, 12712, 2280, 261, 315, 12712, 2280, 261, 315, 12712, 2280, 261, 315, 12712, 2280, 11138, 315, 12712, 2280, 261, 261, 261, 315, 754, 15204, 31905, 315, 8218, 15204, 2410, 764, 764, 348, 272, 261, 272, 261, 273, 261, 273, 11138, 274, 261, 261, 261, 315, 754, 15204, 31905, 315, 8218, 15204, 2410, 764, 764, 348, 272, 261, 272, 261, 273, 261, 274, 11138, 273, 261, 261, 261, 315, 754, 15204, 4153, 11138, 327, 1467, 315, 14433, 14352, 276, 264, 261, 315, 8218, 15204, 2410, 764, 764, 322, 4153, 12712, 2280, 261, 315, 12712, 2280, 261, 315, 12712, 2280, 261, 315, 12712, 2280, 261, 315, 12712, 2280, 17910, 15204, 31905, 315, 8218, 15204, 2410, 764, 764, 322, 348, 272, 261, 272, 261, 273, 261, 273, 261, 274, 17910, 15204, 31905, 315, 754, 15204, 10592, 15575, 532, 519, 5033, 626, 663, 731, 3349, 14513, 593, 1142, 4737, 267, 649, 1265, 519, 918, 739, 6390, 2338, 269, 4935, 649, 1205, 519, 17883, 692, 7445, 6234, 631, 3867, 263, 273, 267, 273, 267, 272, 264, 13157, 306, 3867, 263, 273, 267, 273, 267, 272, 264, 4153, 6955, 639, 590, 3867, 263, 274, 267, 272, 267, 272, 264, 4153, 6955, 639, 273, 306, 3867, 263, 274, 267, 273, 264, 4153, 6955, 639, 273, 306, 3867, 263, 275, 267, 272, 264, 4153, 6955, 639, 590, 3867, 263, 276, 264, 4151, 0, 25152, 692, 12648, 4147, 476, 1015, 16515, 819, 689, 519, 7454, 570, 12781, 692, 1892, 32285, 12375, 454, 1892, 476, 272, 268, 272, 610, 6828, 1362, 454, 1892, 21253, 1043, 7033, 902, 454, 1892, 7638, 1881, 570, 12781, 692, 15507, 538, 692, 258, 590, 7838, 293, 19781, 25758, 288, 5508, 595, 18510, 302, 2839, 692, 305, 600, 752, 16194, 3534, 20144, 944, 328, 454, 736, 270, 1321, 270, 1001, 279, 476, 271, 476, 271, 692, 15578, 595, 18510, 302, 2839, 4959, 6789, 15562, 32052, 5442, 5990, 9474, 10976, 292, 667, 8656, 16165, 4456, 306, 692, 258, 898, 814, 476, 277, 14328, 7252, 692, 258, 2005, 814, 476, 1321, 8728, 543, 476, 279, 14622, 780, 307, 5588, 3201, 590, 7838, 293, 19781, 25758, 288, 5508, 595, 18510, 302, 2839, 281, 7042, 2252, 20099, 540, 10699, 1355, 284, 561, 692, 3891, 697, 540, 10699, 1355, 284, 554, 692, 10190, 2073, 11192, 2627, 9351, 540, 10699, 1355, 815, 476, 273, 263, 561, 343, 321, 1341, 536, 343, 327, 1341, 327, 343, 331, 264, 4009, 4559, 692, 2750, 281, 7042, 2252, 20099, 540, 10699, 1355, 284, 561, 815, 476, 736, 9492, 692, 289, 1348, 628, 263, 12296, 264, 1109, 1993, 10699, 1355, 284, 536, 815, 476, 1015, 9492, 692, 3891, 697, 540, 10699, 1355, 284, 554, 284, 476, 279, 9492, 692, 10190, 2073, 11192, 2627, 9351, 540, 10699, 1355, 815, 476, 273, 263, 561, 343, 321, 1341, 536, 343, 327, 1341, 327, 343, 331, 2020, 284, 476, 273, 630, 476, 736, 343, 1015, 1341, 476, 1015, 343, 279, 1341, 476, 279, 343, 736, 264, 1109, 4699, 273, 692, 284, 476, 273, 630, 1220, 1341, 476, 3445, 1341, 8182, 264, 1109, 4699, 273, 692, 284, 476, 273, 1535, 476, 14596, 4699, 273, 692, 284, 7785, 4699, 273, 692, 271, 2598, 3697, 692, 1012, 4033, 16497, 585, 1411, 692, 12218, 910, 2473, 13595, 268, 9119, 3848, 268, 7072, 547, 26344, 5852, 12143, 454, 2252, 5609, 10382, 815, 274, 270, 273, 267, 1265, 519, 1871, 540, 782, 570, 268, 12753, 540, 14668, 1403, 5430, 10382, 815, 278, 270, 1839, 267, 1265, 519, 1871, 540, 782, 570, 268, 7806, 3930, 540, 14668, 1403, 16009, 10382, 815, 1428, 270, 279, 267, 1265, 519, 2418, 540, 782, 570, 268, 7806, 3930, 540, 14668, 1403, 28422, 10382, 13718, 2492, 543, 6443, 803, 907, 543, 2995, 803, 1018, 811, 596, 1616, 13718, 307, 3419, 517, 5852, 454, 2171, 2119, 547, 1174, 1018, 519, 2168, 2495, 540, 29890, 568, 286, 26344, 5852, 568, 4986, 267, 855, 621, 568, 519, 2078, 1063, 519, 5011, 543, 7285, 540, 513, 1318, 268, 4120, 6906, 269, 1280, 1383, 910, 769, 513, 1318, 2483, 306, 692, 12218, 476, 1015, 13174, 11644, 476, 272, 269, 272, 7726, 476, 272, 630, 272, 994, 9223, 476, 272, 2422, 21482, 573, 781, 6498, 5690, 547, 1265, 519, 670, 20003, 540, 476, 272, 264, 13670, 543, 476, 18597, 4595, 476, 18597, 285, 13670, 649, 4019, 519, 6498, 19790, 2742, 547, 476, 18597, 543, 476, 13670, 547, 3489, 476, 18597, 284, 476, 13670, 9943, 272, 266, 3445, 4595, 678, 568, 711, 3160, 547, 476, 271, 476, 13670, 284, 3445, 9943, 272, 266, 3393, 4595, 13718, 289, 7495, 300, 3008, 14329, 454, 289, 7495, 300, 3008, 6763, 585, 4858, 1188, 564, 267, 2986, 267, 10406, 267, 18527, 267, 18827, 543, 25513, 269, 769, 1808, 4525, 267, 623, 3633, 300, 3008, 630, 21122, 12330, 267, 5890, 7859, 267, 10406, 267, 18527, 267, 18827, 543, 25513, 264, 568, 519, 28395, 2483, 288, 692, 2026, 1127, 327, 23006, 17455, 5674, 692, 2162, 18391, 585, 4147, 476, 1015, 16515, 819, 26042, 9596, 689, 7454, 570, 12781, 593, 12124, 3682, 780, 6701, 596, 513, 570, 12460, 610, 9751, 4659, 2496, 18794, 12124, 3682, 4653, 547, 1265, 1053, 2282, 596, 692, 311, 692, 2162, 18391, 585, 4147, 476, 1015, 16515, 819, 26643, 2496, 763, 1655, 21493, 585, 4147, 476, 1015, 16515, 819, 26643, 616, 593, 12124, 3682, 692, 1892, 8564, 519, 1655, 570, 12460, 454, 1892, 3883, 1299, 29934, 513, 5131, 5915, 334, 454, 1892, 9796, 543, 1376, 4804, 692, 2162, 6875, 4147, 476, 1015, 16515, 819, 609, 519, 7454, 570, 12781, 692, 763, 1655, 570, 12781, 585, 4147, 476, 1015, 16515, 819, 26643, 616, 593, 12124, 3682, 0, 8489, 547, 1451, 875, 2338, 960, 2496, 296, 723, 1634, 1360, 1360, 2596, 2979, 630, 21353, 545, 12980, 267, 8454, 543, 23055, 1040, 594, 723, 2760, 5265, 4121, 2979, 538, 1164, 1153, 1317, 1250, 2979, 3610, 5749, 1405, 946, 547, 3450, 9420, 1053, 780, 3719, 1631, 594, 993, 2542, 513, 5752, 1433, 630, 1805, 4450, 543, 7664, 540, 2780, 3292, 264, 602, 1683, 1082, 6310, 3292, 269, 2368, 12596, 616, 1384, 9616, 281, 594, 5206, 873, 899, 15554, 665, 1712, 519, 1259, 594, 1174, 873, 538, 519, 3292, 269, 5637, 3252, 616, 25276, 780, 23804, 519, 25828, 25627, 281, 1483, 6310, 4542, 1934, 4179, 2517, 2466, 12304, 269, 2466, 12975, 4882, 545, 335, 270, 577, 1986 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 2273, 342, 10248, 21094, 257, 607, 851, 540, 834, 307, 30728, 1315, 7981, 9314, 1315, 8278, 582, 24397, 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, 6092, 5149, 281, 18264, 22761, 543, 21118, 532, 12708, 338, 692, 8702, 547, 938, 18181, 270, 11767, 8877, 1362, 256, 4653, 267, 649, 786, 2263, 519, 4241, 1158, 540, 28972, 543, 16475, 30304, 269, 3807, 899, 875, 1210, 519, 1318, 5820, 666, 3986, 519, 6492, 540, 707, 8670, 267, 1739, 1434, 25654, 666, 1118, 1169, 803, 5306, 830, 811, 11791, 543, 12300, 269, 1284, 786, 1445, 593, 4095, 18226, 28972, 267, 855, 891, 4388, 666, 4019, 547, 1022, 11018, 269, 1924, 1577, 781, 1205, 3323, 2439, 27735, 540, 7305, 631, 22395, 454, 10900, 19030, 5331, 4687, 513, 8949, 19471, 16741, 609, 707, 2828, 1310, 1153, 269, 1411, 782, 10544, 21100, 543, 1376, 4189, 609, 707, 3946, 267, 28617, 543, 10004, 1154, 2476, 269, 3767, 4952, 3257, 519, 1482, 3364, 693, 513, 6101, 12129, 5428, 1141, 3025, 568, 21039, 909, 269, 2334, 1131, 1745, 856, 540, 1747, 267, 9327, 1405, 621, 286, 6153, 3349, 25654, 1397, 2463, 585, 1866, 543, 948, 1711, 513, 16990, 5790, 1282, 6980, 269, 1358, 849, 6542, 602, 596, 1416, 827, 1818, 14538, 6899, 543, 6126, 780, 2162, 3143, 17677, 667, 6235, 256, 630, 6944, 8727, 609, 6428, 10216, 2020, 2791, 1522, 723, 4862, 713, 4341, 1354, 1765, 6866, 5595, 16702, 256, 901, 1797, 546, 6064, 532, 513, 13863, 610, 10448, 883, 513, 3838, 12826, 610, 14036, 811, 982, 2899, 269, 1879, 596, 11116, 1945, 543, 1287, 2322, 621, 1394, 883, 519, 1455, 8708, 267, 596, 8764, 622, 621, 609, 707, 19975, 269, 962, 3089, 256, 11408, 1491, 513, 5094, 7674, 5196, 707, 6676, 952, 596, 1616, 7643, 780, 8794, 2659, 24732, 630, 14738, 7435, 14329, 994, 5785, 14945, 12441, 596, 917, 602, 1004, 538, 3127, 1419, 3548, 741, 6980, 609, 741, 3946, 3079, 540, 1210, 585, 802, 543, 838, 9398, 286, 898, 949, 3100, 9490, 693, 1101, 267, 855, 2285, 621, 513, 2119, 1985, 942, 596, 2972, 930, 9416, 3536, 899, 535, 1845, 610, 9269, 8356, 1375, 1115, 269, 1717, 267, 972, 568, 606, 1898, 4341, 547, 3314, 281, 1152, 946, 707, 681, 20846, 1688, 585, 7829, 1426, 269, 4340, 547, 2757, 4978, 267, 519, 2451, 1688, 568, 2808, 11515, 534, 1317, 621, 568, 1031, 585, 2123, 9882, 4247, 269, 1635, 23578, 547, 519, 1318, 1688, 4341, 267, 596, 1397, 7156, 585, 2686, 3604, 543, 2226, 27194, 1247, 4189, 780, 4910, 1051, 532, 26678, 10163, 2774, 687, 630, 6826, 1030, 1299, 15215, 994, 14343, 15365, 3080, 2629, 2460, 540, 1373, 513, 1390, 3984, 610, 16823, 568, 1620, 8192, 9993, 269, 1280, 1383, 267, 538, 3127, 267, 16933, 616, 10723, 2831, 585, 27734, 267, 865, 789, 1810, 1405, 8532, 14132, 269, 1403, 596, 2811, 14376, 547, 606, 4095, 3659, 781, 2777, 585, 12129, 267, 2307, 6619, 540, 942, 1018, 8286, 786, 581, 6039, 610, 2671, 602, 596, 4782, 711, 547, 3548, 5779, 269, 901, 1259, 267, 1312, 6105, 666, 1544, 9935, 543, 2327, 3025, 814, 513, 17705, 7594, 780, 8448, 6435, 995, 9669, 454, 2411, 13430, 265, 27016, 2394, 3025, 568, 27206, 1354, 4358, 547, 3548, 563, 265, 6875, 1507, 17486, 543, 25261, 7444, 267, 5260, 1681, 1142, 5023, 995, 563, 265, 1290, 680, 2939, 519, 3434, 593, 741, 8748, 7594, 563, 265, 20644, 547, 948, 2312, 519, 3349, 610, 11547, 8286, 1310, 4189, 780, 3528, 8026, 891, 2241, 1696, 1172, 22863, 543, 16475, 30304, 267, 596, 3513, 1831, 513, 9735, 16823, 610, 3984, 267, 4712, 547, 7038, 609, 11419, 543, 6015, 256, 8414, 5986, 543, 19278, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 292, 339, 22761, 540, 4095, 18226, 3245, 9504, 267, 519, 1863, 22605, 454, 297, 2794, 547, 281, 12445, 267, 3406, 454, 1607, 2376, 568, 851, 540, 519, 3126, 454, 28808, 19263, 543, 2010, 540, 1426, 314, 19651, 2639, 27609, 566, 543, 5986, 314, 19651, 2639, 19328, 22045, 642, 6440, 323, 6440, 324, 454, 2026, 538, 1082, 4529, 267, 1697, 6208, 540, 4189, 543, 6704, 616, 1360, 1271, 543, 4922, 15197, 2694, 540, 4095, 2528, 267, 2199, 9821, 267, 5389, 267, 543, 10764, 269, 7743, 3349, 25654, 4268, 689, 2528, 547, 2528, 267, 4352, 972, 616, 2141, 513, 1906, 2596, 3652, 602, 616, 1271, 547, 1246, 269, 18264, 22761, 1058, 581, 4767, 950, 18226, 538, 1022, 4095, 7622, 610, 13962, 267, 1498, 519, 11807, 4441, 4096, 2390, 519, 3510, 563, 272, 12338, 331, 2044, 476, 273, 2552, 8727, 609, 19975, 476, 274, 9406, 1688, 476, 275, 2142, 1030, 476, 276, 4033, 3652, 476, 277, 22108, 454, 12338, 331, 2044, 9282, 4095, 5986, 3096, 606, 3573, 5044, 540, 7463, 27022, 585, 1585, 5301, 267, 12075, 12926, 798, 711, 946, 2759, 331, 2044, 585, 4189, 267, 607, 1082, 3536, 910, 971, 607, 4095, 3694, 338, 543, 1225, 787, 910, 616, 1655, 10150, 950, 4189, 609, 519, 1688, 269, 14856, 609, 835, 781, 3946, 1775, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 292, 339, 22761, 543, 21118, 532, 12708, 338, 257, 607, 851, 540, 834, 23733, 1315, 9373, 8877, 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, 1082, 4525, 1472, 519, 1158, 267, 4008, 13103, 3136, 547, 6414, 1369, 2797, 21384, 267, 543, 4000, 568, 1100, 9868, 269, 901, 1576, 1770, 12538, 883, 519, 1950, 2078, 1063, 4008, 543, 6214, 538, 4000, 267, 10223, 519, 2591, 5185, 676, 2021, 538, 741, 1391, 585, 3160, 6041, 1247, 849, 15386, 11121, 2984, 540, 6043, 543, 3356, 269, 3414, 3695, 3140, 19325, 267, 4207, 2152, 267, 543, 1761, 2104, 7835, 267, 649, 2832, 547, 6536, 513, 4514, 1620, 540, 875, 4008, 6384, 12969, 609, 1379, 3889, 2066, 519, 11782, 780, 1262, 4089, 476, 272, 281, 8466, 12745, 1299, 11137, 4373, 2414, 2253, 938, 6514, 540, 4008, 543, 6214, 538, 4000, 267, 621, 568, 1898, 547, 1174, 519, 6626, 8739, 27791, 5251, 602, 814, 8032, 2021, 781, 2833, 543, 3255, 269, 20616, 1143, 267, 2022, 24645, 4182, 20671, 3646, 267, 543, 2686, 8155, 782, 1404, 1713, 5107, 538, 5935, 4008, 1894, 1369, 3979, 7239, 780, 265, 8624, 11102, 6181, 9313, 17041, 3864, 7810, 7060, 1419, 13684, 30013, 1949, 5196, 4540, 1319, 686, 1105, 531, 610, 552, 6549, 9107, 7239, 267, 7551, 14944, 1456, 2021, 781, 4567, 543, 3310, 269, 1452, 23543, 3136, 547, 1764, 2413, 3979, 6608, 543, 3565, 547, 5571, 4008, 20817, 780, 265, 8070, 24645, 12694, 17041, 1306, 9241, 4830, 2829, 7153, 1310, 28160, 1436, 267, 3084, 3401, 12066, 1194, 609, 14335, 7347, 5238, 5827, 540, 5807, 11180, 10350, 269, 6468, 941, 4749, 12790, 1282, 891, 3157, 267, 4611, 538, 896, 10517, 19948, 538, 6101, 2797, 3889, 780, 265, 24292, 11870, 338, 17041, 12213, 569, 3824, 11712, 1514, 6788, 3823, 4008, 5107, 666, 17225, 2021, 781, 7589, 538, 6214, 269, 1280, 3236, 267, 930, 4529, 949, 2070, 2021, 607, 5097, 3743, 585, 6469, 11645, 267, 12145, 741, 2702, 547, 4497, 538, 1857, 1272, 780, 1262, 4089, 476, 273, 281, 6660, 9693, 16474, 757, 1299, 27505, 619, 4373, 8601, 3875, 9465, 267, 7415, 3979, 2021, 723, 1500, 8101, 7418, 547, 14027, 4008, 7862, 1369, 6214, 269, 24167, 1883, 8090, 543, 2043, 2488, 5813, 883, 3811, 2994, 585, 5009, 1689, 780, 265, 310, 836, 926, 8575, 987, 2967, 630, 298, 523, 5984, 2567, 265, 589, 12021, 2825, 19191, 543, 519, 1101, 3979, 4807, 547, 4309, 513, 17587, 13458, 15356, 267, 8575, 987, 2967, 7152, 519, 3532, 28622, 1063, 8733, 5726, 267, 1480, 2924, 267, 543, 1434, 10350, 269, 4173, 9371, 5170, 547, 8300, 9118, 3979, 2021, 13197, 11678, 538, 6214, 543, 14223, 780, 265, 292, 961, 523, 9652, 11184, 29566, 630, 299, 756, 4997, 2567, 265, 4419, 532, 607, 8644, 4997, 781, 5518, 689, 476, 1220, 277, 268, 1001, 279, 267, 11184, 29566, 2968, 519, 1101, 11221, 4775, 2212, 540, 1533, 538, 4000, 269, 7201, 1200, 5718, 267, 8644, 4997, 1500, 9645, 26058, 2509, 4008, 26027, 538, 2229, 267, 1519, 7598, 31077, 2962, 3800, 547, 2333, 2021, 781, 6041, 538, 22277, 7158, 780, 265, 763, 30645, 834, 29638, 543, 26321, 19662, 9291, 9899, 265, 3689, 5189, 538, 476, 1001, 271, 267, 713, 6069, 9086, 11394, 547, 9004, 7130, 1996, 2021, 543, 3895, 4008, 3666, 538, 3375, 6194, 3157, 269, 4014, 2943, 547, 581, 5293, 267, 519, 3915, 4564, 513, 2565, 1900, 2509, 1671, 15590, 1456, 3656, 20038, 585, 2021, 781, 2797, 7589, 780, 1262, 4089, 476, 274, 281, 12634, 12983, 1299, 13891, 919, 4373, 15703, 10296, 4145, 20441, 5717, 4478, 4008, 543, 6214, 538, 4000, 2221, 269, 1635, 7421, 891, 3584, 267, 1053, 786, 2744, 3407, 4030, 883, 519, 15491, 2470, 540, 4008, 8635, 1369, 3979, 2797, 8916, 780, 265, 5226, 582, 553, 1299, 10500, 3305, 894, 11059, 21474, 17041, 1677, 2232, 10770, 896, 10517, 19948, 267, 1896, 3979, 2477, 723, 8045, 9889, 553, 610, 31077, 2962, 4507, 6322, 693, 2810, 2021, 781, 4527, 538, 25931, 4703, 269, 1717, 267, 13915, 8044, 602, 971, 3800, 1981, 18351, 1944, 2021, 781, 9525, 543, 3111, 547, 10994, 7184, 31737, 6848, 12886, 780, 265, 309, 2723, 775, 18830, 6468, 7971, 5974, 17041, 717, 25311, 5208, 3788, 513, 24245, 3390, 2066, 519, 11782, 267, 25409, 7133, 2021, 7722, 538, 2797, 2238, 269, 18601, 713, 4161, 3340, 11455, 4485, 602, 9192, 3656, 6963, 267, 2069, 7341, 267, 543, 2146, 6278, 780, 265, 11328, 7611, 1275, 1299, 12540, 1400, 1242, 966, 7860, 17041, 20876, 519, 3309, 2833, 540, 2021, 1759, 593, 2188, 971, 607, 5198, 267, 14940, 267, 2085, 267, 4638, 10066, 267, 543, 9659, 4567, 568, 2629, 950, 7234, 4008, 543, 6214, 538, 4000, 269, 28249, 531, 10850, 948, 22113, 875, 1585, 3029, 540, 15746, 2170, 543, 7623, 835, 1776, 267, 6038, 26655, 811, 8537, 3609, 3435, 780, 1262, 4089, 476, 275, 281, 8892, 19648, 1299, 10390, 4373, 2026, 649, 1413, 2509, 519, 16880, 267, 972, 616, 4128, 585, 27277, 7258, 4797, 28858, 269, 24021, 3466, 2303, 602, 1762, 20338, 1107, 3226, 2021, 1107, 616, 5051, 11235, 547, 7119, 538, 2797, 11407, 543, 1198, 6209, 1689, 269, 4498, 1145, 532, 713, 1648, 998, 11215, 5121, 267, 30023, 3292, 267, 543, 3872, 2200, 666, 6556, 27993, 538, 2474, 540, 3152, 4008, 9698, 1369, 3979, 6214, 780, 1103, 3932, 267, 6313, 519, 683, 343, 639, 1063, 4008, 543, 6214, 538, 4000, 8761, 513, 3638, 13795, 540, 2591, 267, 29217, 267, 543, 2150, 11474, 1761, 269, 1635, 2502, 9691, 609, 3140, 8658, 267, 21722, 5515, 267, 4207, 9840, 267, 543, 2104, 8846, 267, 1053, 786, 15052, 741, 8223, 540, 713, 4105, 1641, 1858, 543, 10836, 1732, 9280, 547, 6330, 922, 14960, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9213, 267, 476, 276, 4864, 476, 1001, 273, 267, 4718, 513, 1895, 540, 22644, 539, 14538, 543, 30896, 7390, 519, 570, 5460, 20307, 13495, 11253, 16316, 17976, 693, 519, 15729, 16011, 4975, 8065, 267, 519, 1101, 942, 519, 11000, 814, 1044, 4371, 3544, 540, 29312, 7921, 269, 634, 1883, 16694, 11000, 729, 9447, 676, 5449, 9721, 7022, 543, 6167, 30934, 585, 5274, 7126, 267, 6307, 20484, 563, 19350, 568, 513, 13973, 540, 11427, 20484, 781, 2232, 563, 26466, 4520, 267, 5168, 267, 9111, 281, 15114, 543, 1455, 3483, 454, 2691, 594, 729, 14376, 547, 5838, 519, 570, 5460, 20307, 13495, 11253, 16316 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14187, 27450, 267, 3025, 256, 4653, 568, 513, 1360, 2027, 1554, 1317, 267, 607, 596, 666, 1294, 267, 649, 723, 16741, 256, 1809, 267, 594, 723, 513, 4161, 585, 596, 269, 1547, 1547, 596, 1590, 2759, 713, 883, 476, 2190, 21412, 21100, 269, 2052, 596, 798, 621, 888, 312, 12788, 295, 256, 1284, 2811, 4712, 2336, 8133, 256, 2334, 568, 2953, 2336, 16039, 269, 15443, 531, 3626, 256, 5213, 1405, 649, 723, 547, 1265, 519, 8880, 543, 9825, 1834, 5603, 4394, 540, 519, 16741, 1101, 286, 6145, 713, 888, 6546, 1152, 17337, 519, 16741, 883, 2185, 6810, 269, 1547, 1547, 594, 4312, 3893, 621, 256, 4595, 519, 2268, 540, 519, 3844, 5086, 540, 513, 5858, 568, 3160, 547, 519, 2268, 540, 922, 7222, 9095, 267, 1142, 9095, 543, 3844, 5086, 723, 547, 3160, 476, 1428, 5232, 563, 6546, 568, 2953, 256, 6153, 2816, 267, 16921, 2336, 31800, 1695, 256, 2701, 781, 1318, 256, 476, 11740, 5232, 5258, 676, 476, 2190, 21100, 540, 16741, 11224, 476, 1428, 5232, 829, 20105, 269, 4595, 649, 2907, 723, 1079, 5603, 4394, 267, 1175, 2759, 476, 2420, 811, 538, 1114, 8846, 2394, 649, 3914, 476, 2190, 21100, 2336, 312, 17751, 256, 623, 14040, 256, 1284, 2648, 16741, 543, 9511, 256, 1411, 2811, 519, 1655, 267, 15516, 269, 15443, 531, 3626, 256, 0, 30706, 2094, 519, 8313, 540, 1010, 12031, 10658, 22360, 543, 715, 2117, 1170, 1143, 630, 514, 4436, 264, 538, 476, 3192, 276, 267, 7338, 2098, 773, 515, 267, 1631, 7905, 693, 519, 12390, 1478, 2160, 267, 814, 1044, 1134, 1634, 538, 5125, 543, 22778, 807, 585, 1010, 4030, 543, 12496, 540, 6107, 6530, 267, 6107, 2528, 543, 6107, 2069, 269, 769, 476, 2735, 273, 646, 3370, 267, 1927, 609, 29464, 853, 889, 523, 571, 1276, 267, 4440, 1010, 1034, 1271, 1433, 267, 623, 18490, 585, 1133, 639, 783, 4804, 630, 514, 4436, 1070, 799, 13264, 609, 17888, 24300, 543, 5189, 513, 1007, 2070, 593, 6107, 543, 2069, 538, 2413, 2486, 269, 4595, 1287, 267, 2098, 773, 515, 814, 3812, 513, 6024, 1166, 7640, 540, 4574, 543, 4930, 5702, 1739, 519, 2242, 543, 7835, 538, 519, 3206, 267, 4743, 267, 1565, 267, 24300, 543, 7180, 540, 14038, 543, 11021, 7222, 2242, 538, 3450, 543, 18375, 269, 1306, 513, 1914, 6048, 543, 1514, 18673, 267, 2098, 773, 515, 12851, 547, 1018, 814, 1044, 17941, 519, 3791, 5108, 540, 519, 865, 10777, 7671, 31060, 3427, 267, 543, 1010, 4396, 7811, 4493, 568, 10483, 676, 606, 3592, 17688, 4919, 6568, 538, 519, 2479, 577, 4474, 2175, 543, 5322, 540, 519, 6107, 5108, 269, 769, 519, 1739, 3184, 267, 799, 735, 3796, 1614, 2487, 4574, 538, 4436, 267, 2098, 773, 515, 6941, 1010, 1620, 540, 519, 2596, 4229, 799, 2221, 616, 28068, 1565, 267, 1646, 543, 2528, 538, 6107, 269, 0, 23945, 564, 3047, 568, 938, 1753, 543, 519, 1152, 1634, 1747, 538, 519, 7122, 5827, 540, 5885, 1272, 269, 898, 779, 513, 5963, 7415, 1747, 585, 1082, 4128, 910, 519, 18932, 8835, 22986, 267, 519, 22800, 6778, 31231, 560, 267, 543, 267, 540, 1576, 267, 519, 18803, 16335, 269, 1717, 267, 519, 3527, 540, 8103, 936, 519, 2063, 476, 1220, 1296, 723, 4957, 938, 4190, 1753, 267, 543, 621, 779, 1631, 8757, 519, 1448, 540, 6433, 269, 1284, 1491, 513, 1413, 693, 1018, 779, 4929, 713, 6433, 267, 1018, 519, 2104, 949, 3180, 267, 543, 1018, 596, 666, 798, 547, 948, 563, 1432, 568, 2916, 1689, 888, 20458, 1689, 568, 519, 1279, 3856, 267, 1804, 8397, 6521, 538, 2837, 543, 4365, 3270, 2066, 519, 4541, 269, 3683, 6634, 540, 1296, 267, 3047, 779, 2916, 814, 1044, 16111, 4657, 267, 609, 5458, 23638, 538, 3328, 5210, 269, 3683, 519, 2063, 476, 1015, 267, 1822, 1296, 267, 1310, 513, 2518, 4672, 2085, 267, 3328, 2518, 2837, 723, 24111, 676, 827, 476, 274, 9180, 547, 476, 279, 9180, 269, 1717, 267, 936, 519, 2063, 476, 1220, 1296, 267, 2518, 8337, 568, 1838, 532, 693, 513, 5488, 10605, 982, 2479, 1354, 267, 17116, 547, 3186, 8494, 1047, 1272, 607, 649, 917, 621, 269, 2334, 779, 1946, 621, 779, 1631, 513, 2916, 6433, 563, 14549, 12454, 2916, 1689, 568, 513, 1360, 1483, 7613, 269, 1703, 568, 26837, 4192, 2963, 11744, 713, 1249, 267, 543, 1472, 476, 9032, 260, 540, 2916, 4966, 3858, 602, 649, 616, 4929, 713, 6433, 269, 25175, 945, 6811, 6382, 568, 2901, 3765, 514, 11526, 610, 814, 606, 16786, 547, 7903, 630, 528, 267, 538, 930, 2665, 267, 1312, 1916, 8005, 543, 1018, 568, 3743, 888, 763, 1292, 23784, 547, 2916, 1689, 568, 3425, 269, 2859, 4481, 267, 621, 779, 938, 16126, 593, 5755, 267, 3282, 267, 543, 3154, 547, 4492, 938, 19824, 269, 1284, 4076, 1044, 8781, 891, 8093, 10173, 2094, 519, 4853, 4838, 538, 519, 2038, 476, 5197, 271, 338, 269, 1879, 14616, 267, 789, 5305, 3327, 8166, 630, 4596, 273, 264, 543, 824, 9362, 883, 519, 5790, 269, 769, 2490, 267, 891, 9362, 15972, 3002, 689, 519, 3141, 543, 3636, 519, 4541, 1107, 513, 7613, 1634, 607, 519, 8511, 1198, 563, 288, 15059, 540, 2518, 5434, 2982, 602, 621, 779, 938, 5201, 543, 3002, 2504, 602, 13847, 1034, 2910, 273, 269, 12752, 267, 6683, 543, 6283, 849, 3565, 3648, 269, 1306, 519, 1158, 779, 2551, 10301, 476, 278, 269, 278, 5479, 1004, 267, 938, 1648, 267, 1426, 543, 3560, 4170, 616, 11212, 14053, 563, 3963, 568, 621, 513, 6433, 888, 2252, 596, 1491, 513, 2656, 16145, 693, 519, 3377, 267, 596, 3580, 1100, 8969, 1294, 513, 1650, 1644, 547, 2916, 1689, 269, 1703, 616, 1896, 4128, 1946, 649, 2461, 1631, 693, 6433, 1448, 912, 268, 6820, 2837, 4473, 269, 4595, 519, 3735, 476, 866, 628, 2540, 267, 519, 3328, 2837, 593, 2244, 814, 24111, 827, 476, 271, 269, 280, 9180, 11451, 269, 4107, 540, 713, 8337, 814, 7018, 538, 519, 2063, 476, 3374, 1296, 267, 543, 519, 476, 736, 3636, 652, 1296, 593, 2594, 7018, 936, 519, 2250, 476, 2420, 269, 901, 1185, 8507, 538, 606, 2333, 538, 3002, 30335, 267, 23967, 543, 10980, 563, 268, 9253, 1154, 4672, 269, 11848, 4672, 543, 22260, 957, 607, 2011, 2783, 619, 585, 519, 3047, 269, 1358, 10038, 3002, 543, 2992, 7943, 269, 2311, 519, 1699, 2557, 540, 2916, 1689, 267, 621, 779, 6059, 519, 11848, 786, 581, 4672, 6954, 676, 476, 13078, 271, 269, 901, 2527, 13621, 1223, 5305, 8511, 9362, 16290, 538, 519, 4672, 543, 3565, 547, 513, 5458, 4473, 538, 4262, 2157, 563, 268, 7256, 7400, 4473, 269, 6820, 4262, 2157, 723, 2907, 2799, 1472, 476, 2537, 9492, 2094, 476, 6642, 271, 269, 901, 4025, 1896, 2477, 693, 1981, 269, 1280, 1383, 267, 2947, 3003, 533, 6680, 10195, 941, 5063, 4625, 4503, 269, 634, 8375, 4262, 7400, 3123, 14700, 267, 14796, 9381, 543, 538, 268, 1633, 9249, 267, 543, 4229, 7366, 540, 5215, 540, 1004, 547, 22109, 563, 268, 7909, 3679, 2305, 269, 4595, 476, 6977, 271, 267, 519, 23639, 540, 5836, 7297, 814, 2799, 676, 1472, 476, 2918, 10065, 901, 568, 1317, 519, 12084, 10110, 1454, 540, 519, 2910, 273, 649, 3132, 269, 1358, 849, 10110, 1454, 540, 519, 2799, 3002, 269, 901, 11874, 5222, 7286, 1272, 543, 14796, 14147, 18625, 563, 268, 13809, 540, 2249, 269, 8693, 1689, 568, 8345, 1932, 3533, 585, 1082, 2249, 547, 3082, 269, 3502, 1152, 568, 1480, 1272, 538, 8594, 267, 855, 1082, 824, 2249, 616, 896, 3463, 540, 14486, 563, 2005, 779, 2312, 547, 1294, 602, 519, 2916, 6433, 568, 17116, 938, 1259, 540, 1272, 269, 26184, 4365, 2175, 267, 14700, 267, 543, 7226, 9552, 543, 2530, 616, 1360, 1483, 12178, 547, 721, 782, 563, 1432, 1281, 519, 2104, 3180, 888, 2252, 2451, 31250, 267, 519, 2916, 6433, 786, 3136, 547, 1205, 8338, 269, 6820, 5210, 786, 3136, 547, 4473, 267, 649, 3580, 1294, 811, 26221, 543, 3002, 30335, 267, 543, 24377, 786, 1831, 6793, 543, 811, 7920, 269, 3958, 267, 4262, 2157, 616, 10567, 547, 4473, 1776, 476, 272, 268, 275, 3952, 676, 476, 13975, 271, 563, 763, 3896, 12539, 289, 4361, 814, 606, 1102, 4919, 602, 2982, 519, 1761, 5222, 540, 2518, 4679, 538, 2837, 1813, 547, 2916, 1689, 269, 589, 4473, 540, 476, 272, 269, 276, 9180, 936, 840, 11897, 12009, 2157, 1131, 581, 1713, 269, 589, 4473, 540, 476, 273, 9180, 1131, 581, 29070, 267, 4929, 26464, 9271, 563, 1432, 779, 1373, 2944, 827, 621, 888, 14188, 2685, 267, 972, 616, 1346, 945, 616, 2921, 513, 1796, 269, 1284, 1631, 917, 519, 12178, 602, 519, 2916, 6433, 13514, 267, 543, 3744, 267, 14761, 267, 1347, 885, 543, 15628, 616, 2921, 3268, 547, 26699, 621, 563, 2080, 616, 930, 540, 519, 1699, 7341, 602, 616, 4543, 547, 10994, 2916, 1689, 912, 268, 634, 8303, 15716, 269, 901, 2518, 7029, 6663, 547, 1832, 513, 2518, 2837, 4473, 2048, 6202, 2630, 476, 273, 5232, 17622, 1657, 840, 11897, 12009, 2157, 10200, 18831, 1590, 1305, 9072, 543, 7389, 24223, 1018, 789, 2461, 3257, 547, 2569, 5434, 269, 1280, 1383, 267, 5333, 4566, 547, 7333, 782, 4620, 1503, 543, 17088, 6472, 676, 476, 14225, 271, 563, 268, 24997, 1648, 269, 3776, 4541, 2907, 2488, 721, 609, 6266, 540, 2973, 1648, 267, 543, 649, 2461, 3478, 1732, 693, 19713, 621, 269, 6489, 267, 3859, 267, 543, 32394, 1379, 616, 4742, 811, 7839, 543, 3608, 269, 1280, 1383, 267, 538, 519, 5177, 267, 21369, 2842, 786, 5352, 936, 476, 1015, 260, 540, 5177, 5201, 676, 476, 1708, 271, 563, 268, 14175, 10809, 5726, 269, 3776, 31140, 616, 930, 540, 519, 1655, 1219, 1878, 1996, 2916, 1689, 269, 15316, 1347, 885, 616, 2324, 2509, 7863, 267, 1036, 10273, 908, 267, 543, 30396, 5883, 891, 10475, 3338, 563, 268, 12539, 5786, 3785, 269, 2910, 273, 5434, 616, 519, 2101, 7700, 3815, 547, 519, 2916, 6433, 269, 1703, 616, 1585, 3785, 6322, 693, 4227, 5434, 543, 4543, 4213, 1831, 3327, 9243, 563, 1432, 666, 596, 798, 888, 19894, 1004, 616, 849, 1818, 2242, 547, 741, 19824, 543, 4543, 547, 6318, 4656, 827, 2916, 1689, 269, 1411, 4076, 2693, 4862, 540, 16528, 2875, 13983, 3279, 774, 684, 6199, 269, 2701, 814, 1831, 513, 4137, 3650, 585, 9870, 4656, 827, 519, 1699, 6433, 563, 2171, 979, 883, 811, 1469, 827, 519, 1641, 538, 938, 2376, 593, 1215, 547, 2569, 707, 3327, 11640, 269, 1717, 267, 585, 1631, 267, 1934, 616, 930, 2656, 2081, 596, 666, 798, 707, 3787, 547, 2569, 707, 3327, 11640, 630, 1492, 2179, 540, 2910, 273, 707, 6197, 13847, 2187, 268, 21079, 1286, 15322, 269, 8347, 6972, 267, 15203, 610, 2921, 1857, 3560, 952, 707, 10278, 3884, 1406, 1932, 2484, 563, 268, 16202, 1447, 5779, 269, 29133, 543, 10683, 616, 3743, 585, 1472, 476, 1691, 260, 540, 2916, 19145, 5434, 269, 8347, 10962, 811, 2030, 2861, 3940, 883, 707, 2732, 563, 268, 16440, 1648, 693, 1753, 269, 12414, 1055, 14233, 267, 946, 1648, 18026, 15620, 267, 543, 5000, 707, 7622, 547, 6467, 547, 3039, 1648, 14273, 563, 268, 16179, 30396, 269, 8347, 543, 4444, 12725, 3766, 3497, 3132, 602, 3884, 1406, 25855, 689, 2066, 519, 1158, 269, 634, 1482, 4422, 585, 6752, 1107, 2119, 543, 3442, 12478, 602, 2322, 6940, 693, 519, 21282, 269, 0, 21206, 8605, 17972, 1546, 28838, 9990, 269, 634, 3898, 568, 2653, 547, 1246, 267, 607, 519, 4589, 2263, 835, 1883, 5042, 4640, 538, 1142, 3184, 563, 296, 5612, 5433, 811, 8746, 538, 7311, 1250, 1007, 3206, 543, 1620, 547, 1250, 2259, 269, 901, 1433, 5161, 540, 513, 3126, 540, 2238, 29600, 676, 519, 1034, 909, 3562, 15082, 3206, 543, 1382, 593, 17133, 543, 25019, 269, 634, 1433, 2306, 2139, 547, 3237, 267, 3610, 267, 15637, 267, 2146, 4600, 267, 543, 24784, 513, 2219, 4538, 18879, 593, 3206, 543, 1565, 543, 2653, 3562, 22190, 569, 2553, 585, 3478, 621, 1318, 269, 3213, 951, 476, 1691, 1808, 1589, 902, 330, 1571, 267, 6941, 1946, 1142, 5578, 568, 1271, 267, 543, 6257, 950, 543, 1141, 649, 946, 621, 563, 10666, 713, 1587, 454, 763, 1433, 6799, 2994, 585, 946, 538, 1153, 543, 3947, 28043, 2238, 547, 946, 693, 1753, 543, 538, 519, 2146, 269, 634, 4589, 1683, 4052, 1806, 543, 5693, 9414, 875, 547, 3927, 1199, 5573, 1142, 540, 519, 27552, 2127, 540, 3206, 4857, 676, 3171, 21838, 7322, 269, 634, 4589, 2671, 3078, 909, 3562, 15082, 1806, 267, 3226, 585, 28043, 3622, 547, 782, 1565, 267, 547, 2123, 543, 2146, 1072, 267, 543, 547, 2029, 563, 1607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5545, 18307, 564, 543, 1223, 711, 22738, 606, 19957, 7580, 18086, 538, 519, 5375, 7414, 269, 898, 11329, 856, 602, 676, 519, 1647, 540, 5412, 476, 3707, 272, 267, 2136, 2276, 2011, 543, 26747, 4222, 538, 519, 13372, 1131, 1831, 513, 2318, 3463, 547, 1022, 5545, 4238, 5045, 540, 4813, 6242, 269, 634, 7840, 941, 538, 2489, 602, 782, 5351, 2110, 540, 2112, 581, 2016, 547, 3624, 543, 602, 1100, 3706, 574, 23628, 581, 2016, 547, 3567, 563, 6097, 547, 4937, 21244, 267, 1282, 476, 3707, 272, 646, 5433, 602, 2112, 609, 3567, 729, 31873, 543, 1312, 646, 543, 31288, 853, 1046, 25116, 741, 3646, 547, 8488, 513, 2736, 609, 3567, 607, 1279, 607, 2009, 538, 1931, 547, 581, 1732, 5423, 630, 2457, 476, 279, 2568, 1916, 297, 269, 674, 7838, 8025, 2207, 6730, 674, 2562, 3201, 808, 4338, 3198, 2464, 292, 834, 14701, 4696, 299, 12114, 631, 2464, 6347, 294, 2464, 4840, 4263, 713, 942, 267, 1344, 729, 4607, 538, 6115, 602, 519, 5545, 6554, 1185, 3964, 513, 2417, 543, 3803, 21120, 585, 519, 12032, 540, 20320, 16395, 269, 901, 15538, 540, 1079, 6835, 689, 19519, 547, 6115, 267, 799, 941, 18448, 539, 543, 12261, 676, 519, 8136, 267, 607, 5205, 912, 5416, 264, 589, 8144, 593, 5437, 476, 1704, 267, 476, 3707, 272, 630, 291, 17805, 476, 1015, 267, 1401, 3031, 527, 476, 8287, 1070, 540, 513, 7006, 2255, 267, 18584, 5437, 476, 1626, 628, 267, 519, 8711, 540, 799, 941, 912, 2668, 1547, 1547, 634, 12556, 540, 938, 7276, 13793, 338, 676, 519, 28795, 8142, 540, 513, 1906, 2395, 267, 865, 5225, 4339, 9875, 982, 596, 2479, 1705, 1354, 563, 30948, 596, 2161, 568, 540, 1576, 865, 855, 594, 723, 1152, 547, 3277, 596, 547, 519, 4909, 3609, 9788, 1524, 538, 1250, 1948, 278, 1839, 630, 514, 799, 570, 690, 334, 3081, 602, 2175, 1369, 543, 1510, 3567, 786, 711, 11863, 1022, 2417, 8488, 538, 8757, 513, 11175, 609, 519, 2136, 2276, 264, 1547, 1547, 1547, 2119, 547, 8275, 1018, 602, 1797, 269, 769, 707, 6644, 649, 11129, 547, 7227, 543, 1294, 1018, 2490, 519, 2112, 3217, 543, 2611, 3461, 1547, 1547, 1547, 519, 3510, 14906, 619, 713, 856, 540, 519, 2243, 269, 834, 296, 1305, 519, 21120, 585, 519, 3070, 540, 891, 16395, 538, 1250, 1948, 278, 3607, 267, 543, 972, 786, 581, 1100, 1689, 269, 7490, 2119, 547, 1174, 602, 269, 1411, 1294, 875, 2110, 519, 942, 568, 282, 4061, 267, 798, 711, 1450, 519, 2136, 2276, 547, 2427, 587, 495, 10177, 1188, 721, 543, 8488, 519, 16395, 1022, 2417, 269, 4964, 873, 585, 513, 3070, 593, 519, 4493, 540, 938, 18747, 267, 543, 798, 707, 1655, 547, 3142, 827, 606, 7525, 3070, 4799, 6357, 264, 2201, 5437, 476, 2420, 267, 476, 3707, 272, 630, 291, 17805, 476, 1556, 267, 1401, 3031, 527, 476, 8287, 1070, 513, 8144, 540, 513, 7006, 2255, 540, 519, 1482, 4266, 267, 2542, 538, 6219, 912, 257, 2414, 1312, 596, 19264, 817, 611, 832, 563, 24679, 568, 1659, 2685, 2182, 585, 721, 547, 2015, 4657, 519, 4266, 649, 1305, 538, 1250, 1948, 278, 3607, 269, 1411, 1058, 917, 713, 267, 2705, 267, 594, 917, 596, 616, 2324, 2182, 269, 25529, 547, 938, 6378, 3609, 543, 798, 707, 1360, 1655, 269, 1975, 732, 1100, 3646, 543, 2119, 547, 3142, 827, 519, 3070, 649, 7287, 269, 1703, 616, 4128, 3564, 707, 2702, 547, 7058, 1946, 649, 4941, 547, 7017, 5545, 587, 495, 13563, 1894, 676, 519, 476, 1839, 628, 267, 855, 952, 1369, 519, 1985, 1614, 610, 2185, 2395, 596, 666, 9096, 707, 7391, 609, 519, 4892, 282, 952, 519, 19142, 666, 581, 6192, 676, 519, 476, 3066, 628, 630, 2280, 803, 2328, 621, 856, 585, 596, 1765, 13512, 4868, 27630, 5148, 952, 519, 22317, 4967, 666, 581, 22121, 282, 952, 649, 666, 269, 1205, 606, 1620, 609, 4279, 454, 19322, 664, 543, 519, 13814, 282, 543, 538, 2110, 952, 3388, 666, 581, 8737, 267, 649, 723, 4956, 547, 7227, 2394, 602, 4266, 269, 901, 942, 649, 1611, 621, 267, 602, 519, 21120, 11613, 3112, 581, 4957, 269, 2991, 602, 1919, 616, 8850, 2469, 547, 4755, 269, 7490, 1491, 713, 883, 707, 6297, 7156, 543, 960, 9875, 982, 596, 2479, 723, 1354, 269, 901, 267, 585, 519, 1459, 267, 568, 585, 519, 1344, 540, 596, 1079, 19264, 817, 611, 832, 4805, 4799, 14197, 21244, 1185, 1100, 17386, 973, 565, 3005, 855, 2219, 602, 646, 1185, 1044, 5483, 540, 519, 1585, 18448, 338, 7282, 519, 1576, 540, 20320, 7391, 1991, 547, 5412, 476, 277, 267, 476, 3707, 272, 267, 971, 607, 519, 18631, 834, 1372, 611, 1467, 257, 5048, 630, 2457, 476, 9262, 272, 1916, 3849, 332, 12637, 25306, 729, 5432, 609, 519, 2034, 5048, 9591, 5437, 476, 3066, 628, 607, 519, 3803, 834, 1372, 611, 1467, 257, 4266, 269, 1261, 14648, 713, 607, 2495, 602, 3567, 729, 2469, 547, 4323, 4789, 267, 519, 2136, 2276, 267, 610, 1312, 267, 543, 602, 4229, 941, 2907, 896, 1259, 799, 1223, 711, 581, 27416, 269, 1261, 6785, 971, 5322, 941, 896, 1259, 689, 8289, 902, 543, 771, 6312, 2583, 689, 3624, 543, 646, 2219, 602, 10136, 941, 3001, 5045, 543, 883, 21475, 587, 495, 19770, 630, 2457, 476, 3445, 275, 1916, 298, 269, 5990, 623, 5308, 10485, 289, 6579, 14510, 5508, 589, 590, 7838, 11266, 30990, 17985, 16165, 8577, 25893, 631, 10976, 30121, 454, 16031, 269, 717, 4319, 1767, 602, 593, 610, 827, 5437, 476, 1704, 267, 476, 3707, 272, 267, 646, 751, 5586, 1905, 1117, 519, 3557, 4972, 543, 15091, 519, 991, 547, 9856, 1996, 6727, 5545, 2962, 267, 17189, 610, 4108, 267, 538, 2127, 711, 3238, 538, 519, 4457, 16222, 269, 1261, 729, 2921, 883, 2272, 519, 5506, 602, 519, 5545, 1131, 17908, 519, 5413, 540, 9983, 630, 2457, 476, 11793, 274, 1040, 1261, 1185, 1100, 2856, 540, 519, 17386, 4266, 3567, 1131, 4323, 267, 1498, 646, 6785, 789, 1185, 1044, 8600, 585, 1022, 2680, 7081, 630, 2457, 476, 11793, 276, 1916, 3849, 332, 12637, 853, 1046, 1449, 1881, 602, 646, 1185, 4607, 4987, 2038, 538, 5437, 602, 519, 5545, 3510, 729, 865, 3983, 602, 519, 5545, 2229, 1185, 11943, 602, 513, 2112, 610, 513, 20320, 11802, 729, 2556, 547, 16297, 2442, 3007, 267, 543, 602, 513, 21120, 1185, 1044, 6378, 543, 1287, 4957, 630, 2457, 476, 14689, 264, 1261, 4440, 4718, 519, 834, 1372, 611, 1467, 5048, 4799, 4002, 5437, 476, 2190, 267, 476, 3707, 272, 630, 2750, 3031, 527, 476, 1428, 1070, 513, 7006, 2255, 630, 6518, 31288, 853, 1046, 1767, 729, 1759, 538, 851, 593, 519, 834, 1372, 611, 1467, 257, 18448, 587, 495, 2457, 476, 278, 4037, 1070, 729, 2366, 676, 519, 12751, 540, 25220, 15051, 547, 595, 4532, 28425, 267, 595, 4532, 303, 659, 267, 1290, 292, 4041, 309, 2894, 267, 1290, 307, 310, 5085, 12717, 267, 1290, 8025, 7644, 15288, 2894, 267, 543, 1290, 293, 9281, 15288, 2894, 585, 2962, 267, 2542, 912, 257, 2419, 1734, 540, 15028, 6364, 540, 16395, 609, 3567, 1360, 8969, 995, 1535, 901, 3510, 13745, 609, 6898, 540, 5545, 6554, 543, 5322, 741, 17189, 543, 4108, 4229, 5815, 538, 938, 6644, 602, 513, 9983, 10728, 3350, 538, 1022, 4287, 1519, 4323, 593, 13372, 610, 2871, 600, 568, 513, 7872, 1535, 12751, 540, 16065, 814, 2938, 713, 7006, 2255, 598, 15479, 543, 13668, 2962, 1039, 637, 572, 525, 547, 1217, 9972, 8136, 10492, 741, 2127, 1535, 7780, 2865, 9658, 1097, 2556, 538, 1931, 711, 547, 635, 12393, 606, 2907, 13029, 3510, 610, 10511, 10028, 5545, 2962, 1535, 2871, 600, 786, 581, 5483, 14384, 4840, 2750, 3031, 527, 476, 278, 568, 519, 5437, 476, 2190, 7006, 2255, 689, 595, 17472, 547, 595, 4532, 303, 659, 269, 630, 335, 269, 476, 1789, 994, 3849, 332, 12637, 5062, 29409, 5142, 1767, 602, 519, 7006, 2255, 540, 5437, 476, 2190, 628, 1705, 711, 5815, 547, 1864, 1022, 1007, 1344, 269, 630, 335, 269, 476, 28192, 994, 3849, 332, 12637, 853, 1046, 1449, 1881, 602, 646, 13948, 729, 3743, 585, 519, 3948, 602, 834, 1547, 1547, 1547, 513, 9983, 10728, 3350, 538, 1022, 4287, 1547, 1547, 1547, 834, 729, 513, 7872, 269, 1261, 7150, 602, 646, 1185, 2219, 693, 519, 942, 602, 621, 1522, 581, 593, 16127, 543, 1185, 1767, 865, 950, 646, 5206, 891, 1913, 538, 630, 2457, 476, 5392, 587, 495, 2004, 1040, 634, 13372, 543, 2871, 600, 941, 5018, 4481, 267, 646, 1767, 267, 1317, 5545, 5322, 8612, 606, 4323, 547, 519, 5045, 282, 713, 7006, 2255, 729, 5497, 547, 2285, 513, 27772, 4605, 540, 519, 3510, 543, 2451, 909, 547, 31288, 918, 9404, 601, 519, 2243, 540, 1022, 3606, 3800, 547, 581, 3144, 269, 3143, 1808, 5528, 941, 2366, 282, 789, 1705, 711, 6999, 547, 979, 834, 718, 587, 495, 719, 257, 693, 519, 942, 630, 335, 1137, 476, 2004, 587, 495, 7871, 1040, 31288, 853, 1046, 1767, 602, 646, 2141, 2808, 5545, 20935, 2962, 1510, 17083, 540, 2112, 2009, 267, 543, 602, 16127, 729, 513, 2009, 1747, 540, 4323, 267, 855, 602, 519, 1344, 799, 646, 1185, 1705, 711, 5815, 602, 621, 729, 513, 21483, 1747, 540, 4323, 630, 2457, 476, 8064, 273, 994, 3849, 332, 12637, 25306, 1767, 602, 519, 7006, 2255, 540, 5437, 476, 2190, 628, 729, 5941, 538, 519, 17434, 8274, 543, 602, 693, 713, 942, 31288, 853, 1046, 543, 4937, 21244, 941, 24705, 2590, 3232, 269, 31288, 25306, 5423, 713, 7006, 2255, 543, 621, 729, 5219, 547, 4937, 21244, 269, 898, 729, 4957, 538, 1931, 547, 1832, 621, 689, 1373, 1932, 1808, 269, 634, 13108, 4972, 543, 2782, 4972, 941, 711, 1808, 607, 789, 1705, 711, 1616, 31288, 918, 9404, 601, 711, 547, 581, 593, 9856, 607, 547, 824, 6927, 896, 1010, 26256, 714, 766, 269, 2311, 713, 942, 267, 31288, 25306, 729, 18617, 602, 519, 5545, 941, 2469, 883, 590, 3554, 267, 5689, 11535, 267, 543, 4323, 519, 13372, 630, 2457, 476, 4200, 277, 1040, 1261, 11329, 856, 602, 3735, 538, 5239, 476, 3707, 272, 267, 519, 12751, 540, 25220, 15051, 729, 18617, 602, 454, 275, 2918, 12164, 16165, 8577, 12778, 3201, 5442, 309, 2464, 2316, 294, 9569, 18027, 2752, 299, 670, 2752, 289, 3036, 11083, 307, 19272, 454, 8705, 729, 4947, 543, 1185, 11651, 1540, 21471, 11288, 689, 519, 6239, 7414, 547, 519, 5045, 865, 602, 519, 9635, 1131, 711, 581, 9676, 630, 2457, 476, 6200, 274, 1916, 3849, 332, 12637, 918, 9404, 601, 1449, 1881, 630, 2457, 476, 29218, 264, 602, 646, 5433, 602, 519, 7006, 2255, 540, 5437, 476, 2190, 628, 2838, 1100, 2962, 824, 982, 519, 2962, 799, 646, 1185, 2907, 3144, 282, 602, 646, 2808, 606, 2011, 4323, 593, 23421, 23320, 607, 513, 6552, 7872, 282, 602, 646, 4397, 513, 26747, 4323, 693, 23421, 23320, 952, 519, 13372, 941, 16091, 282, 602, 646, 2808, 519, 1913, 834, 514, 1022, 4287, 2437, 607, 1031, 538, 519, 5437, 476, 2190, 628, 7006, 2255, 267, 3769, 23421, 23320, 1152, 607, 14621, 26747, 4323, 267, 543, 602, 1022, 824, 4323, 267, 824, 982, 593, 519, 13372, 610, 2871, 600, 267, 1131, 581, 593, 4914, 8513, 630, 2457, 476, 26482, 1916, 3849, 332, 12637, 8055, 7150, 602, 519, 1913, 540, 713, 7006, 2255, 834, 514, 1022, 4287, 1519, 13372, 610, 2871, 600, 257, 22466, 602, 519, 5545, 941, 711, 2469, 1022, 20991, 7532, 1189, 630, 2457, 476, 276, 4097, 1916, 4002, 5437, 476, 1839, 267, 476, 3707, 272, 630, 2750, 3031, 527, 476, 5325, 1070, 31288, 853, 1046, 5206, 547, 31288, 918, 9404, 601, 538, 3210, 547, 1010, 4484, 540, 5239, 476, 1704, 267, 476, 3707, 272, 267, 593, 519, 14413, 638, 2329, 540, 2199, 8878, 4229, 538, 16127, 630, 2750, 3031, 527, 476, 5379, 1040, 31288, 853, 1046, 7150, 602, 595, 4532, 303, 659, 1185, 3144, 26256, 714, 766, 540, 1010, 9021, 538, 4276, 609, 4247, 17640, 547, 519, 22963, 26066, 13571, 1512, 543, 602, 519, 4229, 2139, 538, 519, 22963, 1858, 267, 1312, 18307, 564, 543, 2199, 8878, 4229, 267, 543, 519, 4890, 4238, 540, 938, 1378, 543, 20935, 4229, 1131, 5815, 519, 2338, 540, 18307, 564, 8043, 610, 8484, 2838, 547, 581, 8655, 547, 2199, 8878, 4247, 269, 31288, 853, 1046, 781, 4484, 4797, 676, 28388, 519, 3510, 538, 2543, 547, 2810, 519, 2199, 8878, 4229, 543, 267, 1851, 824, 1919, 267, 11329, 856, 602, 519, 4972, 1185, 1100, 3606, 27858, 2139, 585, 7084, 547, 519, 674, 21788, 15288, 7728, 295, 25220 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8080, 547, 938, 1576, 1770, 782, 827, 13055, 3156, 543, 875, 789, 2811, 4657, 519, 1158, 1472, 721, 256, 1411, 1522, 723, 4862, 540, 8924, 1354, 1107, 6148, 593, 707, 6049, 267, 16979, 267, 610, 2780, 269, 1809, 1705, 596, 917, 972, 616, 849, 2027, 5686, 540, 8924, 1572, 834, 10938, 21215, 3156, 22172, 1452, 616, 2645, 602, 4213, 946, 547, 948, 873, 2196, 811, 12347, 543, 7561, 269, 1358, 666, 798, 1919, 899, 1832, 3950, 540, 6075, 1344, 267, 4383, 6455, 543, 11891, 267, 543, 1256, 5659, 1239, 547, 948, 3549, 1118, 1732, 3664, 780, 3080, 1383, 540, 606, 13055, 3498, 568, 513, 1907, 1572, 19833, 4403, 269, 901, 813, 2337, 4213, 4383, 741, 3347, 609, 5561, 269, 898, 13071, 873, 4558, 1271, 3877, 827, 1142, 6075, 267, 899, 741, 2012, 267, 3346, 9623, 267, 543, 6718, 1686, 269, 2060, 713, 1344, 267, 4213, 666, 1683, 10531, 3028, 543, 3091, 547, 1142, 6075, 267, 1818, 873, 1745, 12595, 543, 15874, 780, 3719, 19833, 4403, 3884, 1405, 1175, 827, 13936, 1344, 269, 898, 849, 2882, 3532, 2645, 585, 9477, 6455, 543, 7893, 2773, 269, 2494, 6162, 666, 1294, 1483, 6066, 5359, 593, 875, 1134, 741, 2319, 568, 3257, 267, 5544, 3466, 543, 3270, 267, 543, 2697, 2127, 1141, 789, 666, 2087, 269, 1656, 1317, 3388, 568, 6740, 538, 835, 3844, 4087, 267, 621, 781, 2653, 585, 3025, 593, 519, 2319, 547, 1569, 519, 1344, 789, 991, 267, 1100, 2339, 1141, 789, 616, 780, 5194, 3579, 3364, 827, 13055, 3156, 899, 19833, 4403, 568, 602, 789, 666, 581, 16419, 547, 2743, 519, 1808, 2115, 540, 1114, 4213, 269, 1280, 3236, 267, 513, 1286, 4308, 11429, 1522, 946, 19833, 4403, 547, 1832, 3950, 540, 922, 11891, 540, 6517, 267, 1247, 513, 10685, 4558, 1223, 946, 621, 547, 4383, 922, 6006, 540, 7802, 610, 11418, 269, 1635, 15268, 891, 2645, 547, 3514, 741, 2189, 2115, 267, 4213, 666, 1205, 1256, 811, 1871, 856, 540, 873, 780, 4263, 8028, 309, 267, 513, 2029, 2754, 602, 814, 9927, 519, 1259, 4308, 619, 4444, 543, 6133, 6517, 2228, 267, 789, 946, 513, 7463, 4528, 540, 19833, 4403, 1572, 19833, 4403, 14502, 11629, 269, 901, 1909, 3322, 8888, 543, 7598, 16419, 3435, 1210, 519, 19833, 4403, 3760, 547, 2232, 519, 2189, 1870, 2115, 540, 8028, 309, 543, 922, 7218, 780, 3383, 1946, 1281, 1022, 540, 713, 2339, 286, 4270, 267, 607, 6800, 267, 649, 4324, 950, 4213, 7500, 811, 7561, 269, 1879, 3549, 4688, 942, 543, 2724, 998, 2645, 899, 13055, 3156, 267, 789, 666, 1780, 1346, 9806, 5196, 721, 538, 519, 1106, 540, 2539, 5777, 267, 1732, 2472, 267, 543, 4824, 6075, 3028, 269, 9578, 267, 607, 2104, 4600, 543, 11639, 267, 1620, 875, 13055, 3156, 960, 666, 2285, 721, 513, 1850, 909, 538, 2221, 781, 8013, 2816, 2344, 269, 5808, 6487, 1107, 6148, 14693, 9358, 3513, 581, 519, 835, 8888, 519, 1985, 5108, 540, 13055, 3156, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 11767, 21215, 10241, 910, 631, 23950, 267, 19833, 4403, 14502, 11629, 454, 2252, 596, 616, 3168, 585, 513, 4876, 693, 513, 6422, 2754, 609, 513, 1004, 23867, 14820, 543, 513, 2620, 2528, 540, 2208, 543, 13190, 267, 8028, 309, 568, 519, 1318, 1747, 585, 596, 256, 14847, 1438, 13180, 15004, 543, 1565, 543, 1646, 3255, 267, 8028, 309, 814, 1018, 596, 991, 547, 4434, 547, 519, 1985, 1377, 538, 707, 4876, 269, 1284, 786, 3136, 547, 6318, 519, 3046, 1169, 1554, 676, 10115, 538, 938, 1004, 543, 2029, 547, 948, 938, 5561, 8011, 269, 1284, 16926, 1004, 945, 2671, 938, 6612, 267, 3142, 5499, 2093, 547, 519, 3349, 267, 543, 2972, 513, 10319, 5790, 563, 8005, 649, 616, 912, 3722, 309, 568, 513, 2029, 2754, 602, 814, 19117, 875, 4308, 619, 4444, 543, 6133, 6517, 2228, 269, 1284, 616, 13321, 519, 16669, 2872, 269, 8028, 309, 30080, 2388, 5549, 269, 630, 3722, 309, 1070, 814, 4294, 5647, 543, 3593, 27059, 267, 1239, 9141, 3156, 543, 3435, 269, 1284, 616, 2679, 519, 1034, 11967, 543, 3608, 3059, 19458, 609, 1239, 3435, 585, 27126, 267, 9513, 543, 5883, 1031, 6472, 609, 11413, 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, 589, 1906, 1296, 1394, 267, 1250, 23013, 15608, 2968, 513, 7128, 11464, 538, 938, 1507, 4884, 269, 1284, 941, 782, 865, 10583, 540, 1864, 267, 15292, 532, 538, 1010, 22692, 16008, 609, 6801, 538, 938, 4064, 269, 1261, 729, 11235, 547, 4196, 543, 2149, 267, 547, 1118, 513, 3017, 538, 938, 2146, 269, 8528, 24137, 4464, 1614, 1296, 267, 1919, 3323, 4657, 5705, 569, 855, 15983, 269, 1703, 941, 26866, 619, 827, 519, 2199, 7128, 9769, 4742, 5051, 14461, 267, 11259, 547, 1022, 1106, 540, 1412, 719, 2515, 13779, 8339, 1358, 14593, 1394, 1996, 2093, 899, 7598, 1560, 4342, 338, 610, 2870, 606, 4830, 2689, 4604, 910, 3800, 2966, 547, 2327, 11413, 543, 12477, 269, 3733, 23013, 7012, 1405, 1360, 13047, 827, 621, 1287, 267, 1175, 6031, 789, 1185, 741, 4128, 799, 14201, 1405, 15597, 1634, 780, 3080, 1554, 267, 3388, 3357, 1835, 4770, 1524, 950, 513, 3381, 17774, 3166, 2228, 6029, 835, 540, 15608, 781, 9164, 1210, 7050, 3196, 1282, 606, 10654, 269, 898, 695, 809, 938, 2370, 4884, 547, 922, 4295, 269, 4658, 18796, 5126, 282, 789, 4941, 4267, 269, 1809, 3079, 540, 24625, 908, 4628, 609, 519, 7634, 267, 519, 7128, 8257, 8604, 811, 5461, 538, 7863, 741, 1378, 269, 12414, 539, 856, 267, 741, 7104, 29541, 6876, 3769, 21291, 602, 1500, 11042, 18593, 543, 11658, 519, 9165, 540, 4835, 28525, 269, 1323, 574, 13920, 8057, 2509, 519, 7128, 3196, 267, 3972, 546, 13388, 1194, 267, 543, 649, 5433, 20729, 539, 676, 1346, 945, 2220, 648, 547, 4196, 721, 780, 10190, 3357, 519, 4729, 6335, 1100, 835, 4718, 4947, 269, 15608, 12703, 569, 22283, 4464, 16153, 1154, 646, 7948, 1405, 3251, 14980, 15042, 269, 3571, 25903, 9327, 1405, 1450, 621, 269, 1261, 7000, 875, 519, 7128, 9769, 2178, 268, 28534, 873, 883, 16563, 267, 17116, 11678, 952, 4896, 546, 1563, 3717, 909, 1996, 891, 2853, 269, 4340, 547, 1864, 267, 1082, 10492, 9969, 7517, 27352, 855, 21787, 7555, 4805, 1996, 519, 9769, 269, 901, 13414, 28280, 3025, 267, 1256, 803, 269, 8528, 297, 4141, 8694, 909, 6028, 519, 3196, 1813, 547, 10373, 2604, 543, 6937, 269, 6736, 519, 2591, 267, 646, 8359, 19969, 936, 14017, 547, 513, 1062, 512, 20557, 676, 1566, 13369, 269, 2755, 519, 2104, 3788, 7334, 585, 2384, 532, 538, 938, 4884, 267, 835, 3364, 568, 2312, 910, 972, 781, 513, 26525, 991, 585, 1689, 1369, 7128, 18787, 267, 4358, 609, 17766, 1769, 593, 6456, 21291, 543, 5807, 4529, 1141, 1169, 4759, 7959, 23518, 547, 1796, 585, 5168, 543, 14619, 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, 24685, 1018, 2081, 723, 7128, 18787, 12042, 1229, 3646, 547, 2087, 7128, 2866, 543, 12477, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 723, 2123, 5784, 610, 4978, 269, 1717, 267, 930, 4966, 543, 5640, 723, 11130, 602, 7128, 18787, 723, 12042, 1229, 3646, 547, 2087, 7128, 2866, 543, 12477, 538, 1585, 2081, 267, 1519, 1384, 272, 269, 11814, 633, 29541, 11650, 281, 17318, 18787, 21907, 11731, 602, 1419, 1331, 14074, 602, 666, 15641, 324, 7128, 8257, 781, 2702, 547, 3180, 10492, 18177, 585, 13817, 2265, 269, 1280, 1383, 267, 930, 11731, 949, 1683, 10492, 609, 20038, 971, 607, 16607, 23827, 725, 267, 513, 3908, 9165, 540, 4835, 13753, 267, 543, 12046, 689, 1978, 30095, 3527, 780, 273, 269, 1763, 12371, 15024, 281, 17318, 18787, 723, 8362, 10353, 15024, 6322, 693, 5355, 7128, 2866, 543, 9015, 267, 971, 607, 16601, 1560, 12514, 593, 10492, 267, 519, 5137, 540, 4830, 2689, 12545, 267, 543, 2242, 547, 946, 540, 3196, 4507, 269, 17318, 18787, 723, 849, 5249, 547, 24183, 19742, 9232, 692, 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, 17345, 5149, 281, 4354, 6275, 11485, 5004, 11150, 585, 8479, 7767, 832, 692, 8893, 20638, 281, 1635, 519, 1439, 540, 713, 3992, 267, 596, 786, 1174, 1018, 9304, 1981, 2359, 2994, 616, 543, 1946, 789, 616, 1271, 585, 1004, 945, 1616, 547, 1902, 538, 3601, 13383, 780, 7072, 281, 5620, 596, 2479, 2219, 827, 9140, 513, 2777, 538, 1776, 2197, 286, 9320, 596, 4312, 26927, 3139, 540, 2348, 513, 11824, 2777, 538, 6792, 610, 513, 669, 531, 564, 538, 519, 18230, 32595, 256, 1809, 1705, 596, 917, 602, 972, 616, 2027, 1919, 596, 991, 547, 1589, 827, 950, 596, 4444, 1945, 538, 1776, 2197, 286, 2290, 540, 1346, 1919, 568, 1572, 834, 2017, 6275, 1981, 3010, 1432, 568, 4354, 6275, 11485, 286, 5994, 602, 596, 723, 10710, 909, 1269, 1911, 267, 1822, 547, 4444, 707, 5326, 11824, 2777, 538, 6792, 269, 1411, 1265, 519, 3501, 1747, 267, 855, 972, 781, 835, 1966, 910, 621, 3790, 476, 273, 2929, 11204, 26240, 657, 256, 2311, 519, 1699, 5385, 2557, 267, 707, 1269, 1911, 267, 1822, 11224, 476, 273, 2929, 26240, 657, 269, 4279, 256, 1809, 7227, 1862, 6343, 952, 519, 1871, 540, 519, 2475, 13362, 4422, 1524, 1354, 596, 4444, 519, 2777, 286, 2334, 1797, 596, 1131, 1205, 7864, 11204, 26240, 657, 585, 1169, 13362, 596, 6108, 269, 1924, 10393, 267, 707, 1269, 1911, 267, 1822, 1522, 1152, 3160, 476, 272, 269, 279, 2929, 26240, 657, 910, 711, 2614, 547, 4444, 707, 5326, 2777, 15042, 256, 901, 568, 1018, 649, 1611, 676, 9304, 1981, 910, 519, 4960, 602, 2242, 538, 5385, 3928, 1223, 10413, 707, 4566, 547, 4444, 1945, 538, 1776, 2197, 780, 3963, 9701, 1284, 5516, 6168, 4354, 6275, 11485, 286, 1403, 596, 1810, 1405, 1544, 6619, 585, 9304, 1981, 267, 596, 1522, 1439, 909, 9878, 811, 982, 596, 4397, 585, 1945, 538, 1776, 2197, 269, 2107, 1256, 8338, 267, 596, 1522, 711, 581, 2111, 547, 6488, 621, 693, 782, 256, 2334, 781, 1946, 5100, 9520, 946, 1945, 1572, 834, 2017, 6275, 1981, 2359, 2994, 257, 547, 2149, 2933, 1996, 6397, 2242, 538, 5385, 3928, 780, 2080, 616, 930, 1455, 9304, 1981, 2359, 2994, 1031, 676, 9520, 1472, 519, 1158, 1384, 272, 269, 670, 8354, 2659, 645, 1115, 281, 3807, 899, 950, 596, 1404, 513, 3014, 543, 2119, 547, 3666, 707, 4220, 865, 602, 596, 2097, 856, 6619, 1100, 2339, 1018, 4523, 267, 15949, 3101, 3322, 1818, 9388, 602, 2569, 707, 4598, 547, 9304, 1981, 269, 1280, 1383, 267, 596, 1223, 3858, 547, 6133, 707, 1977, 9489, 585, 11204, 26240, 657, 693, 2221, 781, 5385, 2557, 630, 10472, 568, 1572, 513, 4464, 4579, 1040, 3973, 267, 1100, 2339, 1018, 4523, 547, 519, 5385, 2557, 1063, 1631, 543, 950, 596, 2965, 4444, 519, 2777, 267, 596, 2907, 723, 707, 26240, 657, 1305, 11735, 780, 273, 269, 667, 1392, 1518, 2659, 5800, 12859, 281, 32027, 782, 707, 5798, 538, 835, 11127, 568, 2760, 513, 1434, 2856, 267, 2523, 950, 621, 2501, 547, 10115, 269, 5502, 540, 8380, 782, 707, 2724, 538, 835, 9304, 267, 3262, 621, 856, 1851, 1896, 19728, 269, 901, 1259, 267, 952, 835, 9304, 19380, 922, 1871, 267, 1866, 949, 1869, 3180, 741, 1378, 780, 274, 269, 18554, 16510, 26162, 17115, 281, 5901, 3950, 540, 3377, 827, 2804, 2621, 8345, 1312, 693, 1753, 543, 13383, 269, 1452, 2621, 1419, 2014, 5385, 3928, 547, 1689, 269, 1635, 9363, 5483, 267, 596, 666, 18783, 1761, 2042, 543, 4188, 707, 5092, 4640, 9935, 780, 275, 269, 13693, 2060, 20226, 281, 13185, 547, 4648, 899, 4871, 619, 267, 2272, 1218, 267, 610, 2883, 31548, 945, 4308, 609, 4914, 19728, 1169, 1554, 269, 1358, 666, 2285, 596, 10531, 5796, 1759, 593, 707, 3510, 543, 3853, 780 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 693, 4179, 2517, 4178, 269, 615, 3316, 15299, 2593, 631, 910, 674, 476, 280, 600, 547, 476, 276, 10975, 29643, 454, 24109, 545, 1299, 27975, 17771, 29895, 30200, 13216, 910, 7186, 781, 1034, 1271, 7110, 256, 966, 1204, 14134, 338, 1586, 2336, 295, 301, 13052, 31527, 301, 8457, 12327, 10177, 14978, 4826, 910, 13724, 4761, 1062, 1072, 543, 2569, 6553, 563, 19575, 1493, 11916, 8000, 1890, 4354, 322, 6058, 910, 7849, 1928, 8323, 267, 2569, 6553, 543, 865, 1454, 811, 563, 300, 17010, 290, 32111, 910, 12713, 19989, 21019, 30001, 13596, 543, 3947, 596, 811, 1648, 269, 630, 8450, 10552, 11473, 994, 302, 15383, 32254, 910, 7849, 16690, 7581, 753, 518, 256, 7581, 753, 856, 6757, 19221, 609, 5135, 2336, 301, 553, 1417, 594, 617, 710, 910, 8871, 4925, 19140, 2305, 267, 2790, 1445, 543, 11178, 1072, 563, 27319, 631, 2678, 15147, 910, 11087, 806, 12829, 631, 2678, 5982, 676, 476, 9834, 260, 256, 630, 8450, 11473, 1040, 0, 2026, 649, 2085, 267, 4509, 1434, 5711, 1072, 3587, 5051, 4105, 547, 938, 2949, 1134, 5630, 269, 15482, 1416, 585, 10172, 4079, 568, 711, 1152, 827, 8497, 513, 32689, 12837, 282, 621, 779, 827, 4180, 513, 1164, 2298, 540, 1272, 269, 1306, 942, 3217, 922, 17167, 267, 938, 4522, 543, 14779, 666, 3068, 513, 2039, 540, 2591, 267, 689, 5694, 9178, 547, 10733, 2068, 563, 13425, 856, 891, 24034, 5013, 607, 4843, 593, 519, 15509, 779, 630, 28495, 619, 585, 8376, 6513, 543, 10644, 264, 3896, 563, 347, 308, 660, 8972, 5694, 9178, 269, 27819, 782, 4079, 630, 9834, 8472, 9907, 476, 4792, 1296, 610, 4587, 723, 1185, 513, 13570, 282, 476, 272, 538, 476, 276, 723, 15860, 5694, 9178, 269, 11406, 294, 636, 2068, 269, 589, 1164, 6871, 540, 4587, 4079, 723, 10733, 2068, 269, 6168, 476, 273, 538, 476, 274, 630, 6924, 8472, 4079, 9907, 476, 4792, 1296, 610, 4587, 723, 10733, 2068, 269, 29392, 2530, 269, 27819, 476, 272, 538, 476, 276, 540, 4079, 9907, 476, 4792, 610, 4587, 723, 4503, 782, 540, 741, 4522, 269, 13159, 5694, 2530, 568, 7466, 607, 11342, 1851, 4079, 9907, 476, 4037, 543, 4587, 630, 2918, 8472, 3379, 609, 4079, 9907, 476, 4792, 268, 10619, 630, 1724, 22103, 11109, 7508, 4522, 610, 9849, 7202, 999, 666, 1860, 6484, 267, 1317, 1004, 1510, 4522, 610, 609, 7202, 999, 1419, 4782, 2571, 267, 3362, 1750, 14954, 3536, 3079, 540, 3536, 971, 607, 4195, 5613, 543, 5388, 563, 302, 1537, 2860, 269, 2052, 6203, 540, 519, 5023, 630, 7394, 543, 943, 31099, 11871, 264, 616, 5097, 8995, 538, 4587, 4079, 282, 11667, 2085, 693, 5868, 568, 476, 7830, 1296, 563, 32247, 2068, 269, 4658, 609, 5312, 3676, 971, 607, 12263, 267, 3987, 267, 2295, 3676, 267, 543, 5312, 30126, 17422, 2068, 630, 4596, 11520, 264, 949, 581, 811, 2693, 547, 1020, 10733, 630, 704, 1675, 7267, 264, 2068, 267, 855, 789, 616, 1447, 2693, 547, 1205, 5959, 1416, 982, 4079, 1510, 891, 5312, 2175, 269, 4746, 267, 1034, 4587, 4892, 1491, 1312, 13310, 543, 936, 7308, 23716, 5061, 282, 1082, 540, 891, 6527, 666, 2014, 3819, 5023, 269, 25841, 19975, 2095, 4679, 519, 1981, 540, 19659, 563, 1103, 713, 2376, 267, 594, 786, 1865, 519, 2189, 5959, 1416, 585, 10172, 4079, 267, 519, 2956, 540, 2834, 5959, 11564, 267, 543, 2994, 547, 2232, 1455, 2085, 5829, 5959, 4145, 563, 347, 16920, 1549, 782, 2367, 936, 476, 2412, 945, 616, 8149, 547, 2713, 741, 1655, 2729, 256, 15012, 1250, 7454, 9093, 779, 2657, 543, 27999, 4757, 2146, 2221, 543, 2744, 1569, 547, 12600, 1543, 593, 3584, 971, 607, 6484, 267, 8516, 267, 2295, 1072, 267, 6197, 543, 811, 269, 594, 786, 1683, 596, 609, 519, 5767, 1382, 267, 4388, 267, 543, 15361, 547, 948, 596, 11126, 707, 1272, 269, 5213, 1406, 7227, 1022, 3476, 547, 1376, 2713, 707, 1655, 1272, 269, 3367, 811, 540, 1250, 21075, 693, 7454, 9093, 779, 2657, 543, 27999, 543, 1491, 519, 1101, 1900, 2509, 513, 18668, 267, 8902, 267, 543, 811, 16180, 1272, 8198, 2252, 596, 2461, 5461, 538, 10992, 856, 930, 540, 519, 1390, 2472, 602, 594, 946, 543, 4363, 267, 4945, 593, 519, 6402, 2630, 547, 1265, 930, 5863, 9388, 256, 7490, 4063, 602, 952, 596, 1118, 513, 6718, 998, 891, 6402, 267, 594, 949, 4309, 513, 1507, 10243, 693, 1100, 3063, 1942, 547, 596, 269, 11289, 596, 585, 5885, 1250, 960, 2336, 763, 11957, 540, 15482, 5516, 585, 28544, 20661, 454, 2467, 616, 1079, 2694, 547, 707, 5959, 3643, 269, 2659, 8036, 31978, 626, 786, 11571, 585, 10733, 2068, 1282, 707, 3643, 267, 543, 621, 568, 2009, 602, 789, 786, 1491, 2473, 17530, 547, 1265, 5563, 1063, 707, 4522, 563, 306, 920, 2287, 593, 519, 2627, 540, 707, 4522, 786, 849, 581, 3769, 538, 519, 4879, 269, 589, 15098, 540, 15799, 602, 11438, 4551, 666, 3441, 707, 4522, 543, 2014, 19659, 563, 27778, 5241, 543, 29781, 1063, 707, 4522, 607, 1134, 607, 32092, 532, 609, 21973, 568, 1271, 5959, 1416, 585, 10172, 4079, 267, 855, 621, 568, 711, 2614, 563, 2690, 1312, 2367, 543, 2021, 267, 519, 2956, 540, 513, 2834, 5959, 2638, 5346, 568, 1271, 547, 2226, 513, 1732, 2298, 540, 1272, 563, 13349, 15482, 2657, 12983, 454, 2252, 596, 616, 711, 2921, 1416, 540, 707, 4522, 543, 711, 9683, 519, 11290, 593, 513, 2834, 4493, 267, 1287, 596, 616, 1930, 547, 513, 2603, 540, 1072, 2152, 563, 4131, 779, 2911, 827, 1455, 5959, 1072, 2152, 2676, 290, 822, 885, 616, 13943, 2127, 538, 707, 5023, 1141, 519, 5694, 1858, 814, 1044, 10057, 676, 12159, 543, 519, 3490, 540, 513, 5694, 814, 1044, 20114, 269, 1323, 16315, 540, 513, 1966, 1522, 581, 950, 707, 5694, 2501, 538, 3346, 609, 3905, 610, 4411, 3536, 610, 15559, 563, 8253, 2394, 1310, 930, 9645, 3441, 547, 519, 5694, 267, 786, 19659, 1397, 1022, 4191, 269, 2334, 779, 1946, 621, 568, 865, 1898, 547, 1294, 707, 11290, 5781, 269, 898, 568, 4443, 547, 2232, 2038, 2589, 540, 5959, 11761, 1354, 789, 979, 1932, 2484, 563, 294, 636, 2068, 267, 849, 1634, 607, 27731, 2068, 267, 568, 513, 11342, 6161, 1851, 10172, 4079, 602, 7569, 6297, 3007, 269, 1306, 649, 2085, 267, 519, 1981, 540, 3384, 10733, 2068, 4679, 3648, 563, 1607, 3390, 267, 799, 666, 581, 7307, 538, 519, 2038, 11775, 855, 15583, 622, 547, 1454, 811, 1713, 2152, 952, 20495, 267, 616, 849, 1776, 19319, 540, 4057, 6484, 269, 28100, 547, 707, 4522, 267, 3676, 267, 543, 824, 4713, 666, 581, 3361, 676, 5694, 9178, 610, 5959, 2042, 3056, 547, 10733, 2068, 563, 763, 4276, 1063, 5959, 1072, 538, 10172, 4079, 543, 2295, 2068, 568, 513, 1888, 540, 3395, 1719, 1851, 3173, 543, 3782, 4648, 563, 21357, 1382, 814, 1044, 8810, 602, 9190, 13596, 666, 23309, 707, 1973, 10009, 543, 2014, 2182, 2287, 543, 5394, 2287, 540, 707, 16209, 267, 3843, 547, 3625, 519, 10009, 540, 1973, 543, 18413, 519, 24536, 585, 513, 6727, 13487, 10654, 563, 291, 1581, 5516, 585, 28544, 20661, 2657, 9669, 454, 306, 3832, 7191, 513, 5959, 2638, 1575, 952, 596, 723, 711, 2938, 707, 11290, 1369, 519, 2063, 3670, 3275, 269, 4746, 267, 1118, 2386, 596, 4628, 2936, 519, 5959, 2994, 602, 616, 5018, 2630, 563, 288, 3787, 540, 15324, 3797, 786, 979, 513, 1279, 1259, 563, 272, 269, 5696, 5241, 543, 4469, 1601, 532, 454, 27778, 5241, 543, 29781, 616, 1898, 3334, 540, 5711, 9882, 585, 10172, 4079, 267, 607, 789, 1404, 513, 4105, 1909, 538, 4509, 5959, 1072, 543, 7303, 1585, 5959, 2152, 602, 1831, 811, 1455, 607, 649, 2085, 563, 2414, 723, 513, 8902, 5023, 267, 7738, 707, 4522, 5781, 568, 1883, 269, 634, 1977, 6481, 5948, 5267, 602, 2043, 1246, 519, 7840, 676, 1210, 513, 28750, 543, 15084, 5023, 31683, 693, 2547, 1079, 2053, 513, 1554, 607, 513, 15777, 563, 14503, 1601, 532, 21555, 1426, 689, 1063, 707, 4522, 543, 568, 1271, 547, 707, 5959, 1072, 269, 901, 666, 15583, 622, 547, 15799, 19221, 267, 799, 568, 2352, 547, 4894, 609, 1152, 17678, 543, 786, 2154, 707, 11290, 547, 1085, 7275, 621, 1055, 563, 273, 269, 19805, 519, 30785, 29392, 335, 4292, 454, 24400, 519, 1655, 26025, 585, 10172, 4079, 568, 1898, 547, 2232, 519, 1808, 5711, 1072, 4145, 602, 666, 8451, 609, 2085, 563, 2080, 616, 930, 2188, 547, 2015, 912, 268, 7579, 728, 12474, 454, 268, 16959, 631, 1926, 454, 268, 717, 636, 2657, 454, 763, 835, 3364, 602, 568, 513, 1590, 568, 602, 596, 3442, 513, 26025, 602, 814, 519, 5084, 288, 16826, 540, 13170, 593, 621, 563, 274, 269, 4635, 631, 1926, 31683, 454, 6097, 547, 519, 5084, 288, 267, 972, 616, 1079, 2010, 540, 5023, 31683, 281, 23815, 543, 9354, 630, 19989, 936, 519, 4831, 543, 676, 13310, 1040, 4635, 5023, 31683, 666, 948, 1852, 15799, 267, 31470, 26628, 267, 3983, 7362, 267, 543, 5694, 9178, 563, 275, 269, 2480, 1117, 30389, 8617, 15482, 6744, 5725, 454, 29995, 267, 5959, 32182, 2154, 7463, 2126, 540, 519, 4522, 269, 634, 1152, 1259, 547, 1349, 25188, 541, 689, 707, 4522, 568, 609, 513, 9952, 2620, 7738, 563, 763, 4908, 540, 5959, 11564, 585, 4587, 4079, 666, 4268, 1759, 593, 606, 1367, 779, 5711, 1072, 267, 2564, 2175, 267, 543, 1981, 2188, 269, 898, 568, 5227, 543, 3810, 19624, 547, 1294, 707, 11290, 7466, 513, 1032, 630, 22336, 476, 277, 3275, 1040, 1411, 949, 991, 547, 1294, 707, 11290, 811, 4470, 593, 707, 5959, 2115, 563, 276, 269, 17547, 25003, 454, 2414, 2417, 2539, 519, 5506, 540, 24931, 513, 27731, 2068, 543, 2327, 513, 6505, 12837, 267, 519, 15509, 5267, 3247, 7296, 4625, 563, 10712, 3183, 666, 16094, 1860, 707, 5959, 1072, 267, 543, 891, 2360, 1831, 5051, 14733, 607, 596, 2085, 563, 763, 1764, 540, 7296, 593, 707, 5959, 1072, 607, 596, 2085, 1331, 563, 268, 16842, 11485, 540, 717, 636, 8376, 454, 268, 29392, 13809, 454, 268, 17327, 9435, 454, 268, 853, 7134, 29726, 454, 268, 16959, 631, 1926, 454, 268, 5221, 540, 519, 2956, 540, 5959, 1416, 585, 10172, 4079, 267, 596, 991, 547, 1491, 883, 2272, 707, 5959, 543, 2168, 1072, 547, 2661, 513, 1272, 2407, 540, 1072, 543, 6015, 563, 268, 5457, 267, 707, 5959, 1072, 666, 543, 786, 1764, 707, 2949, 2168, 1072, 269, 589, 1390, 23302, 12837, 786, 2285, 596, 6015, 543, 6505, 523, 909, 707, 1554, 563, 7883, 547, 519, 6085, 3296, 543, 1577, 721, 917, 707, 4555, 563, 29771, 267, 899, 267, 543, 2671, 1250, 5816, 543, 2253, 2713, 707, 1655, 1272, 1631, 563, 14294, 909, 585, 1072, 1299, 9716, 8631, 602, 2731, 6927, 9447, 547, 707, 28600, 563, 10287, 2423, 333, 652, 543, 7454, 9093, 779, 2657, 543, 27999, 593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7511, 20721, 354, 10951, 509, 23989, 419, 353, 374, 454, 260, 311, 476, 10951, 361, 17295, 364, 25203, 372, 18021, 498, 7511, 28793, 25426, 368, 23989, 419, 353, 374, 454, 260, 313, 13127, 377, 497, 31176, 491, 28793, 25060, 374, 7511, 12571, 491, 26175, 364, 454, 260, 260, 4939, 9463, 371, 10951, 361, 420, 374, 360, 454, 18411, 258, 17276, 488, 488, 28793, 25426, 368, 23989, 419, 353, 374, 29873, 16088, 476, 1220, 279, 476, 273, 269, 2537, 476, 1321, 16088, 4962, 454, 339, 815, 942, 7456, 665, 5306, 830, 4590, 1111, 815, 942, 269, 1598, 1111, 830, 2891, 260, 312, 23946, 368, 260, 332, 10951, 486, 260, 323, 20721, 354, 260, 295, 28793, 260, 300, 26166, 260, 306, 26175, 496, 2580, 512, 994, 2745, 263, 1111, 2020, 18411, 323, 520, 8135, 17276, 357, 350, 417, 507, 501, 454, 268, 30220, 418, 493, 494, 28032, 505, 20721, 354, 10951, 509, 25520, 28793, 25426, 368, 7511, 13213, 494, 28997, 501, 25520, 23989, 419, 353, 374, 454, 18411, 5814, 30220, 454, 258, 30220, 13127, 372, 372, 25335, 479, 31271, 508, 26233, 356, 454, 258, 30220, 6155, 622, 281, 476, 22047, 419, 494, 484, 418, 481, 367, 25520, 7511, 20721, 354, 10951, 509, 8147, 418, 493, 494, 28032, 505, 23946, 368, 10951, 486, 20721, 354, 454, 19049, 815, 30220, 6155, 622, 263, 1001, 279, 267, 274, 267, 2918, 994, 2745, 5560, 339, 2020, 258, 30220, 28333, 281, 418, 493, 494, 28032, 505, 22047, 419, 494, 484, 418, 481, 367, 25520, 28793, 25426, 368, 8147, 28793, 26166, 26175, 496, 454, 258, 30220, 6155, 520, 8135, 281, 17276, 493, 494, 28032, 505, 20721, 354, 10951, 509, 420, 371, 509, 28793, 25426, 368, 14756, 482, 12571, 486, 454, 258, 30220, 6745, 574, 539, 12265, 281, 17276, 493, 494, 28032, 505, 22047, 28793, 25426, 368, 26266, 362, 8147, 28793, 25426, 368, 421, 499, 379, 18021, 355, 454, 5228, 30220, 1104, 30220, 454, 18411, 27747, 372, 17958, 32352, 25913, 25622, 16088, 454, 268, 2221, 454, 268, 1631, 454, 268, 2588, 322, 852, 454, 268, 689, 339, 574, 652, 2086, 281, 476, 10524, 492, 28793, 25426, 368, 16043, 367, 18809, 13213, 498, 18713, 508, 10951, 361, 17295, 364, 28793, 25426, 368, 454, 18411, 19049, 815, 30220, 263, 1001, 279, 267, 274, 267, 2918, 994, 2745, 5560, 339, 6745, 3736, 15405, 2745, 5560, 339, 269, 852, 15405, 2745, 5560, 339, 269, 5228, 339, 574, 652, 2086, 263, 5503, 28333, 3890, 4917, 2745, 2891, 265, 257, 265, 2004, 2020, 258, 30220, 6745, 574, 539, 12265, 454, 258, 476, 23989, 419, 353, 374, 22047, 28793, 25426, 368, 25426, 368, 421, 504, 498, 454, 5228, 30220, 1104, 30220, 267, 31764, 12265, 454, 339, 272, 815, 30220, 269, 852, 4590, 2745, 6025, 272, 994, 2745, 6025, 272, 269, 1598, 1111, 830, 2891, 260, 312, 268, 260, 332, 268, 260, 323, 4939, 295, 281, 260, 300, 268, 260, 306, 27363, 11575, 815, 31764, 12265, 22607, 2293, 284, 272, 994, 2745, 9230, 339, 272, 266, 11575, 1040, 1598, 1111, 830, 2891, 260, 312, 268, 260, 332, 268, 260, 323, 4939, 295, 281, 260, 300, 268, 260, 306, 27363, 2745, 2891, 265, 257, 265, 2004, 2020, 258, 942, 527, 910, 17276, 501, 370, 25426, 368, 418, 369, 489, 19404, 493, 26266, 354, 10429, 371, 454, 258, 17276, 369, 489, 19404, 493, 31801, 489, 31365, 13213, 494, 27310, 28793, 25426, 368, 25426, 368, 421, 504, 498, 14395, 508, 421, 359, 490, 454, 3698, 533, 10031, 476, 942, 4732, 2748, 263, 271, 269, 277, 2020, 339, 272, 815, 942, 28333, 4590, 335, 4590, 2745, 263, 5503, 28333, 3890, 910, 512, 272, 994, 2745, 2891, 265, 257, 265, 2004, 2020, 258, 476, 13200, 509, 29873, 28578, 23989, 4970, 353, 26175, 491, 25913, 25622, 7511, 30006, 498, 20001, 481, 454, 258, 13127, 28187, 31563, 22287, 499, 419, 374, 363, 30006, 498, 20001, 481, 13200, 509, 29873, 22047, 28578, 23989, 7511, 28793, 25426, 368, 8147, 23746, 420, 25693, 23523, 486, 421, 504, 378, 14395, 508, 27064, 364, 454, 5814, 942, 527, 454, 322, 815, 23288, 8999, 815, 11713, 1721, 1775, 538, 2039, 263, 1911, 271, 2187, 476, 2040, 6910, 9217, 994, 18411, 258, 476, 10254, 358, 17958, 5503, 527, 420, 364, 481, 17958, 28786, 419, 510, 479, 8147, 19867, 356, 27310, 1911, 1822, 418, 361, 350, 8147, 418, 509, 354, 419, 506, 489, 13213, 494, 27310, 28793, 25426, 368, 454, 339, 272, 815, 942, 527, 28333, 527, 263, 560, 31198, 6889, 314, 328, 585, 1775, 538, 2039, 263, 1911, 271, 13580, 2580, 1297, 284, 1911, 1822, 994, 258, 17276, 369, 489, 19404, 493, 290, 28786, 419, 510, 479, 19867, 356, 27310, 1911, 1822, 418, 361, 350, 13213, 494, 27310, 14756, 497, 31563, 454, 339, 273, 815, 942, 527, 28333, 527, 263, 560, 31198, 284, 322, 267, 1297, 284, 1911, 1822, 994, 2745, 6025, 272, 994, 2745, 6025, 273, 994, 2745, 2891, 265, 257, 265, 2004, 2020, 258, 942, 527, 476, 23746, 23284, 19867, 356, 27310, 22047, 16583, 30936, 8147, 23521, 354, 418, 369, 489, 19404, 493, 22047, 16583, 30936, 7511, 19867, 356, 27310, 28793, 25426, 368, 454, 3698, 798, 2005, 10031, 476, 1003, 815, 476, 274, 454, 476, 585, 1775, 538, 2039, 16325, 2187, 825, 1820, 2891, 3725, 701, 520, 585, 2715, 271, 348, 2668, 8971, 9217, 11723, 339, 815, 942, 527, 28333, 527, 263, 560, 31198, 284, 4777, 2005, 267, 15893, 284, 1015, 994, 2745, 6025, 994, 2745, 2891, 265, 257, 265, 2004, 2020, 338, 815, 23288, 3698, 798, 2005, 16325, 2187, 476, 585, 1775, 538, 2039, 16325, 2187, 825, 1820, 2891, 3725, 701, 520, 585, 2715, 271, 348, 2668, 8971, 9217, 4917, 18411, 258, 17276, 487, 356, 27310, 798, 2005, 16325, 994, 258, 14764, 420, 368, 509, 420, 368, 352, 418, 488, 488, 27064, 363, 417, 351, 481, 9463, 502, 19404, 493, 16583, 484, 14035, 485, 417, 354, 377, 454, 258, 13127, 362, 508, 30522, 483, 25203, 372, 25051, 497, 30678, 14756, 503, 5503, 527, 10254, 505, 20881, 510, 22047, 16533, 493, 27064, 363, 417, 351, 481, 454, 258, 13127, 506, 357, 10254, 505, 30853, 7511, 16533, 493, 27064, 363, 417, 351, 481, 18809, 8147, 28786, 419, 510, 479, 19867, 356, 27310, 7511, 421, 350, 374, 31365, 13127, 353, 356, 420, 485, 368, 15159, 454, 18411, 3698, 798, 2005, 16325, 2187, 825, 4429, 11133, 815, 476, 274, 454, 4777, 2005, 16325, 994, 18411, 339, 815, 942, 527, 28333, 527, 2891, 4777, 2005, 16325, 264, 2580, 14764, 284, 338, 266, 257, 11133, 284, 274, 2580, 1297, 284, 1015, 994, 2745, 6025, 994, 2745, 2891, 265, 257, 265, 2004, 2020, 18411, 323, 520, 8135, 6155, 520, 8135, 418, 357, 350, 417, 507, 501, 454, 268, 17276, 493, 494, 28032, 505, 30006, 498, 20001, 481, 417, 354, 377, 17958, 7511, 28793, 25426, 368, 26033, 490, 26266, 366, 454, 268, 22614, 365, 375, 27936, 18263, 487, 454, 8587, 1362, 291, 2969, 324, 12486, 291, 2969, 324, 27818, 20204, 8147, 3923, 8147, 1485, 314, 454, 1038, 4429, 8587, 23378, 268, 22614, 365, 375, 25913, 25622, 454, 268, 22614, 365, 375, 31271, 508, 26233, 356, 454, 18411, 5228, 30220, 1104, 30220, 607, 24303, 454, 2745, 5560, 339, 269, 852, 31156, 18411, 657, 910, 17276, 497, 491, 30853, 419, 367, 375, 14756, 509, 25203, 372, 10429, 367, 454, 268, 29635, 371, 509, 418, 497, 491, 30853, 419, 367, 375, 14756, 509, 25203, 372, 10429, 367, 8147, 4970, 375, 28884, 15159, 24757, 10524, 370, 418, 497, 491, 30853, 454, 268, 476, 4970, 492, 419, 367, 375, 14756, 509, 25203, 372, 10429, 367, 7511, 418, 497, 491, 30853, 8147, 4970, 375, 28884, 25060, 483, 12571, 360, 21928, 4970, 487, 14748, 418, 357, 350, 417, 507, 501, 19404, 490, 454, 476, 910, 15259, 17276, 497, 491, 30853, 419, 367, 375, 14756, 509, 25203, 362, 25051, 499, 25203, 372, 10429, 367, 454, 476, 910, 15259, 29624, 476, 22614, 367, 375, 14756, 509, 420, 371, 363, 23523, 482, 25203, 372, 10429, 367, 418, 497, 491, 30853, 454, 476, 910, 9505, 559, 476, 28859, 360, 502, 419, 374, 356, 24757, 10524, 370, 418, 497, 491, 30853, 8147, 25203, 362, 31176, 491, 21550, 495, 7511, 418, 497, 491, 30853, 8147, 24757, 10524, 370, 420, 369, 489, 29219, 8147, 10254, 510, 30522, 353, 8147, 26175, 375, 20693, 357, 454, 268, 29635, 371, 363, 23523, 482, 454, 476, 910, 476, 14756, 507, 28098, 420, 371, 363, 23523, 482, 16088, 26233, 375, 15159, 10524, 492, 418, 28187, 25203, 362, 25051, 499, 31968, 19764, 478, 417, 356, 489, 454, 476, 910, 22614, 505, 372, 28098, 420, 371, 363, 23523, 482, 16088, 417, 509, 374, 10951, 361, 23284, 25051, 497, 31176, 491, 27064, 363, 417, 351, 481, 20992, 19764, 478, 417, 356, 489, 7511, 22047, 25203, 372, 28098, 7511, 17295, 364, 25913, 692, 18411, 5814, 15259, 454, 258, 1205, 322, 23424, 3890, 476, 29635, 492, 371, 9463, 500, 25051, 497, 31176, 491, 7511, 26266, 354, 30853, 25203, 362, 25051, 499, 454, 258, 17276, 510, 376, 19764, 493, 281, 15259, 10947, 322, 23424, 4590, 258, 476, 13213, 498, 18713, 508, 29219, 16088, 25051, 497, 31176, 491, 26266, 354, 30853, 31968, 25051, 497, 7511, 21211, 31033, 4970, 366, 454, 3240, 323, 597, 815, 15259, 10947, 322, 23424, 4590, 2745, 30044, 323, 597, 2020, 258, 669, 323, 597, 3890, 17276, 498, 373, 9463, 502, 25051, 497, 31176, 491, 26266, 354, 30853, 25203, 362, 25051, 499, 454, 258, 17276, 510, 376, 19764, 493, 16088, 15259, 26716, 323, 597, 263, 420, 371, 363, 23523, 482, 994, 258, 15259, 26716, 323, 597, 3488, 24610, 11305, 5317, 5073, 258, 1250, 323, 597, 269, 657, 10947, 322, 23424, 10797, 258, 1592, 323, 597, 3890, 29635, 492, 371, 9463, 500, 22047, 25203, 362, 25051, 499, 18809, 19867, 478, 20069, 31878, 25203, 362, 25051, 499, 25520, 24757, 10524, 370, 7511, 12571, 491, 26175, 364, 28578, 23989, 454, 258, 17276, 510, 376, 19764, 493, 16088, 15259, 269, 4289, 323, 597, 263, 420, 371, 363, 23523, 482, 994, 258, 476, 13213, 498, 18713, 508, 29219, 16088, 19867, 478, 20069, 31878, 25203, 362, 25051, 499, 25520, 24757, 10524, 370, 12571, 491, 26175, 364, 7511, 28578, 23989, 454, 671, 815, 15259, 269, 4289, 323, 597, 4590, 2745, 263, 671, 2020, 258, 544, 8898, 15077, 3890, 476, 20881, 496, 25051, 496, 10254, 505, 417, 375, 374, 24757, 10524, 370, 14035, 373, 454, 258, 17276, 510, 376, 19764, 493, 16088, 15259, 6230, 8898, 15077, 263, 20881, 496, 25051, 496, 420, 371, 363, 23523, 482, 994, 258, 476, 20881, 496, 25051, 496, 420, 371, 363, 23523, 482, 16088, 14035, 504, 14748, 24757, 10524, 370, 14035, 373, 31271, 480, 31271, 480, 25060, 483, 12571, 360, 7511, 420, 371, 363, 23523, 482, 16533, 365, 15159, 20881, 496, 25051, 496, 420, 371, 363, 23523, 482, 8147, 28032, 489, 417, 28187, 513, 11486, 11305, 454, 258, 678, 560, 815, 15259, 6230, 8898, 15077, 2891, 323, 3570, 5602, 258, 1820, 16868, 560, 2020, 258, 1062, 3890, 476, 13213, 494, 27310, 419, 367, 375, 14756, 509, 9917, 961, 417, 495, 377, 10524, 353, 454, 258, 17276, 510, 376, 19764, 493, 16088, 15259, 269, 17882, 263, 419, 367, 375, 14756, 509, 417, 495, 377, 10524, 353, 994, 258, 476, 13213, 498, 18713, 508, 29219, 16088, 19867, 497, 19764, 478, 22047, 9917, 961, 16043, 500, 26033, 483, 14756, 486, 419, 360, 363, 419, 499, 490, 30837, 351, 454, 337, 560, 815, 15259, 269, 17882, 2891, 3149, 5602, 258, 1820, 16868, 560, 2020, 258, 1205, 523, 341, 3890, 29635, 492, 371, 9463, 500, 418, 490, 485, 27936, 7511, 419, 367, 375, 14756, 509, 27064, 363, 417, 351, 481, 9463, 502, 19404, 493, 29219, 454, 258, 17276, 510, 376, 19764, 493, 16088, 657, 10947, 523, 341, 2891, 27064, 363, 417, 351, 481, 9463, 502, 19404, 493, 12571, 491, 5602, 258, 476, 13213, 498, 18713, 508, 29219, 16088, 418, 490, 485, 27936, 27064, 363, 417, 351, 481, 9463, 502, 19404, 493, 12571, 491, 28098, 18021, 498, 7511, 29219, 454, 337, 560, 815, 15259, 10947, 523, 341, 2891, 303, 26059, 15419, 258, 14827, 3890, 476, 20881, 478, 24731, 25051, 497, 31176, 491, 31801, 489, 31365, 454, 258, 17276, 510, 376, 19764, 493, 16088, 14827, 10797, 18411, 29219, 421, 481, 357, 26166, 454, 268, 15259, 269, 2017, 323, 597, 281, 1699, 546, 597, 267, 13127, 377, 497, 31176, 491, 25203, 362, 25051, 499, 454, 268, 15259, 4877, 731, 597, 281, 2385, 546, 597, 267, 22614, 486, 370, 25203, 362, 25051, 499, 454, 268, 15259, 269, 572, 335, 281, 13127, 377, 497, 31176, 491, 419, 367, 375, 14756 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2419, 574, 5028, 1299, 28628, 6282, 999, 257, 607, 851, 540, 834, 16300, 16337, 1315, 12292, 1315, 28463, 976, 267, 1133, 545, 27163, 1299, 19088, 673, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 3127, 781, 22547, 607, 513, 6820, 5295, 692, 15916, 972, 256, 4653, 649, 786, 7832, 593, 606, 3078, 3460, 998, 2797, 2257, 547, 1451, 827, 835, 540, 5607, 781, 1034, 4241, 2477, 910, 3127, 269, 3683, 5553, 267, 713, 6909, 2197, 814, 9927, 883, 513, 2518, 1379, 5264, 602, 5170, 547, 1332, 6793, 1169, 1554, 269, 1924, 10544, 707, 31940, 543, 1577, 781, 4685, 1318, 538, 2439, 4089, 476, 272, 281, 4197, 1548, 24439, 513, 6820, 5295, 692, 5575, 1919, 1101, 267, 1018, 1281, 621, 1611, 585, 513, 2197, 899, 3127, 547, 1831, 513, 2518, 1379, 286, 1677, 2322, 621, 3274, 267, 950, 649, 2161, 602, 513, 4182, 568, 513, 2518, 1379, 267, 649, 17538, 602, 789, 29937, 1713, 3310, 936, 824, 6082, 1472, 519, 1158, 269, 901, 666, 8915, 538, 1585, 2081, 267, 971, 607, 2178, 2804, 2208, 267, 3532, 4108, 4222, 267, 9565, 2686, 18666, 267, 543, 2500, 23372, 609, 4914, 6608, 780, 4131, 781, 1589, 827, 930, 1134, 8153, 2518, 7060, 596, 1522, 2907, 917, 267, 899, 519, 2136, 2276, 610, 3624, 269, 1452, 1079, 2477, 4865, 7372, 11615, 267, 1804, 17740, 2456, 267, 543, 741, 4529, 616, 2442, 5001, 269, 1358, 849, 1404, 2629, 5107, 538, 3486, 6214, 676, 27410, 21308, 543, 11650, 609, 1082, 1114, 6082, 780, 3086, 267, 4952, 952, 1776, 2197, 1223, 4473, 909, 543, 3035, 2147, 905, 1846, 1247, 4509, 922, 2189, 3961, 269, 2334, 781, 10502, 1018, 781, 8345, 609, 3127, 2221, 256, 2913, 781, 2263, 875, 713, 7415, 7004, 11200, 539, 13718, 4089, 476, 273, 281, 8466, 24306, 540, 3127, 781, 12618, 692, 2414, 1174, 1946, 3127, 568, 4742, 513, 2518, 1379, 1631, 267, 649, 991, 547, 1413, 1394, 693, 922, 3638, 1686, 269, 9147, 4095, 10340, 729, 1753, 547, 9058, 10781, 538, 6128, 267, 17651, 267, 3332, 267, 6575, 267, 543, 4984, 269, 16258, 4464, 547, 2487, 2053, 267, 1310, 11543, 7115, 689, 3703, 4341, 538, 476, 3707, 278, 267, 3127, 5185, 3875, 2591, 899, 6710, 267, 2192, 3438, 2329, 267, 543, 2797, 16132, 269, 1717, 267, 5103, 891, 23665, 267, 3127, 7283, 32344, 538, 2679, 513, 17321, 2104, 780, 3080, 1883, 3815, 7700, 547, 3127, 781, 1699, 1967, 1650, 568, 922, 1445, 593, 9111, 269, 4595, 476, 4198, 271, 267, 3127, 814, 1044, 18170, 607, 513, 11180, 14081, 1141, 4961, 1528, 13222, 945, 1287, 1106, 519, 2229, 269, 2755, 711, 782, 1629, 31097, 8011, 267, 2348, 513, 1062, 12082, 538, 14619, 543, 6041, 5280, 1711, 513, 7123, 5748, 585, 3356, 780, 5194, 1898, 12146, 814, 1044, 3127, 781, 7029, 547, 2069, 269, 7767, 906, 1500, 538, 3506, 267, 12621, 267, 9945, 267, 543, 1382, 5238, 3366, 547, 7760, 2066, 2789, 9922, 1519, 2029, 267, 4915, 267, 543, 4702, 269, 1306, 811, 12075, 6591, 1569, 547, 2298, 2069, 267, 5647, 25577, 267, 2870, 1007, 3255, 1312, 1369, 543, 3544, 519, 2197, 780, 4089, 476, 274, 281, 8490, 2349, 4169, 540, 3127, 781, 1306, 1417, 692, 7021, 519, 2250, 1906, 5756, 267, 1896, 2188, 4412, 8215, 3127, 2509, 3152, 23146, 593, 519, 2518, 3942, 1384, 265, 9483, 1234, 13257, 281, 18786, 538, 519, 2038, 476, 1960, 271, 338, 267, 3127, 3459, 7598, 2344, 7888, 4507, 6322, 693, 19788, 4914, 5092, 543, 20993, 6469, 2504, 269, 26431, 267, 4213, 3323, 14762, 267, 3056, 547, 2799, 7694, 3255, 543, 4824, 2713, 4441, 563, 265, 25895, 2274, 777, 281, 12157, 560, 1229, 676, 922, 7347, 8668, 2872, 267, 3127, 2968, 1634, 607, 513, 13398, 585, 3301, 2533, 543, 1870, 1184, 16080, 25703, 269, 3509, 29505, 14078, 1305, 909, 4238, 1934, 267, 2921, 5413, 540, 9952, 2296, 18702, 4648, 2139, 693, 8013, 3928, 563, 265, 8836, 9941, 5295, 281, 3245, 10649, 547, 21576, 267, 1426, 547, 6752, 267, 3127, 781, 7524, 2528, 7380, 919, 6634, 11451, 269, 27748, 545, 5515, 971, 607, 8575, 32257, 19413, 267, 15887, 785, 3757, 987, 22105, 648, 267, 9045, 344, 1690, 527, 14105, 267, 543, 20961, 681, 4157, 327, 16679, 3136, 11121, 5481, 1472, 519, 8608, 563, 265, 21864, 2353, 10662, 281, 2060, 3395, 7682, 4369, 538, 6237, 12602, 267, 3127, 22541, 13218, 609, 15231, 2477, 543, 9450, 12352, 609, 2101, 2518, 5716, 269, 6270, 3347, 13087, 3127, 547, 1788, 922, 3310, 3564, 3162, 5607, 543, 3565, 9797, 547, 3486, 4708, 15209, 3646, 780, 4089, 476, 275, 281, 12694, 589, 3650, 692, 8170, 1576, 267, 1256, 607, 3127, 14380, 607, 513, 2518, 1379, 267, 1978, 9465, 2611, 269, 12983, 899, 13313, 267, 4747, 8635, 267, 2825, 12159, 267, 543, 3909, 13253, 10460, 3978, 6937, 547, 13455, 1646, 269, 18601, 891, 4145, 3340, 13447, 539, 3646, 689, 14519, 267, 3540, 2486, 3906, 267, 543, 1367, 4961, 7567, 780, 4913, 267, 2016, 922, 6043, 865, 2484, 267, 972, 781, 2601, 547, 3494, 602, 3127, 786, 7753, 891, 2591, 1175, 607, 621, 1705, 1354, 269, 2991, 782, 267, 7507, 7012, 1405, 3710, 538, 513, 1554, 267, 6862, 786, 1022, 4182, 3914, 1390, 15627, 16074, 269, 1809, 1964, 21407, 267, 3127, 781, 3460, 2509, 4742, 513, 3020, 2518, 1379, 14767, 547, 581, 4986, 2110, 540, 20498, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8266, 540, 10749, 7902, 538, 12815, 14430, 540, 630, 306, 2529, 11053, 4937, 1299, 590, 2529, 11053, 3163, 14430, 994, 268, 5020, 568, 26647, 24327, 454, 268, 9701, 1284, 589, 2513, 880, 1401, 3133, 725, 1315, 1401, 3133, 725, 31160, 1100, 2422, 995, 20828, 454, 268, 634, 4107, 21624, 3883, 594, 723, 17451, 3367, 454, 268, 11310, 568, 5295, 454, 268, 589, 853, 747, 538, 5384, 590, 2314, 27607, 454, 268, 634, 29759, 540, 23320, 616, 31687, 2678, 982, 717, 22284, 540, 8892, 454, 268, 966, 4925, 1058, 581, 13379, 539, 711, 4032, 539, 454, 268, 3733, 22830, 540, 513, 8414, 5020, 454, 268, 13229, 11819, 779, 29594, 547, 519, 20126, 540, 4841, 1107, 9181, 454, 268, 13488, 1782, 538, 3294, 568, 606, 4065, 1315, 12409, 10025, 540, 13488, 1782, 454, 268, 594, 723, 5274, 640, 267, 855, 594, 13842, 4658, 454, 268, 6176, 568, 5295, 454, 268, 11334, 20233, 7690, 540, 513, 13780, 454, 268, 11957, 540, 12624, 26280, 826, 538, 3427, 532, 454, 268, 1133, 655, 7877, 538, 9031, 1315, 1133, 655, 7877, 7324, 519, 3447, 730, 15272, 282, 4706, 15486, 543, 595, 675, 454, 268, 6468, 9255, 538, 3776, 5980, 454, 268, 7025, 21694, 454, 268, 4856, 8306, 538, 3776, 13474, 1315, 12186, 540, 4856, 8306, 538, 5980, 454, 268, 589, 9855, 2775, 12532, 454, 268, 4750, 1143, 607, 513, 25088, 454, 268, 4317, 6796, 538, 7073, 5980, 454, 268, 634, 22436, 540, 7073, 5303, 454, 268, 18479, 322, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19328, 781, 22547, 607, 513, 6820, 5295, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 2622, 1315, 7489, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 4197, 13397, 1156, 4643, 639, 281, 589, 27405, 1190, 16164, 16448, 692, 5970, 596, 2479, 4862, 540, 13397, 1156, 4643, 639, 286, 3143, 19048, 952, 596, 10093, 1405, 256, 901, 3184, 786, 6338, 596, 547, 606, 4277, 543, 10578, 2960, 2783, 602, 3762, 7189, 7138, 1194, 269, 1924, 1577, 781, 4685, 883, 519, 4241, 1158, 540, 13397, 1156, 4643, 639, 1927, 2439, 1262, 1432, 568, 13397, 1156, 4643, 639, 15140, 5331, 707, 2960, 4988, 538, 6366, 31795, 6244, 13711, 27894, 267, 3006, 11231, 899, 9072, 610, 10580, 910, 20868, 267, 1318, 286, 2334, 781, 1018, 13397, 1156, 4643, 639, 5654, 899, 256, 1452, 27894, 723, 8325, 8728, 543, 1419, 2408, 593, 707, 7916, 267, 7953, 267, 610, 5023, 269, 6884, 789, 1256, 2014, 21422, 267, 1818, 596, 1616, 547, 15072, 873, 782, 1554, 1279, 269, 1809, 1810, 1405, 5855, 267, 649, 3513, 1451, 875, 547, 4308, 609, 891, 2589, 2663, 593, 780, 3086, 267, 596, 1522, 4898, 267, 1946, 1281, 713, 4755, 286, 4270, 267, 3744, 5749, 1405, 4625, 2386, 2943, 269, 1358, 3494, 602, 938, 1378, 4761, 1062, 4991, 11821, 543, 6238, 22215, 2635, 2960, 2281, 1317, 621, 14659, 972, 781, 1945, 4636, 269, 15434, 5414, 267, 26001, 26834, 1717, 267, 13397, 1156, 4643, 639, 3884, 1405, 3361, 676, 17900, 610, 4376, 11763, 267, 865, 1100, 991, 547, 11784, 827, 20414, 621, 689, 2576, 3116, 780, 1262, 1692, 6496, 13397, 1156, 4643, 639, 6733, 6145, 15140, 4131, 803, 5862, 513, 4605, 585, 596, 269, 5994, 4466, 20372, 11057, 1625, 680, 880, 9634, 593, 707, 2960, 1107, 2186, 540, 23401, 513, 3579, 3381, 3014, 1374, 256, 2368, 1004, 849, 5469, 6094, 3043, 3515, 1835, 1170, 29589, 532, 936, 741, 16420, 267, 4946, 811, 22464, 547, 922, 5920, 269, 1656, 7058, 1018, 286, 1411, 1522, 1205, 1114, 3270, 1932, 267, 971, 607, 14034, 267, 1792, 6545, 267, 5394, 2989, 2127, 267, 610, 1256, 28338, 269, 15346, 1249, 281, 3962, 1268, 781, 13397, 1156, 4643, 639, 666, 1413, 5594, 1114, 2439, 1262, 8489, 2052, 1411, 4855, 13397, 1156, 4643, 639, 15140, 1607, 12357, 2783, 3085, 1405, 1175, 6529, 547, 835, 1747, 269, 898, 1223, 1402, 909, 593, 1585, 2694, 540, 519, 1560, 267, 1519, 707, 2960, 267, 18969, 267, 4552, 267, 543, 1256, 3330, 707, 5023, 256, 3807, 3314, 267, 3025, 781, 1995, 609, 13397, 1156, 4643, 639, 9775, 780, 1262, 307, 805, 906, 543, 10515, 532, 11150, 4373, 4407, 972, 781, 4867, 1100, 10826, 585, 13397, 1156, 4643, 639, 267, 5574, 2291, 547, 948, 4383, 1346, 26240, 5652, 2589, 269, 32536, 5505, 2356, 21559, 6527, 899, 1212, 4461, 267, 522, 842, 906, 267, 610, 21447, 547, 2569, 6553, 543, 8897, 9636, 269, 1403, 13397, 1156, 4643, 639, 5540, 707, 5023, 267, 1287, 2027, 5023, 342, 10449, 610, 3138, 345, 10622, 666, 798, 519, 8945, 780, 2080, 616, 930, 4388, 547, 11883, 609, 13397, 1156, 4643, 639, 1384, 272, 269, 5901, 9350, 281, 5457, 267, 2566, 4465, 1405, 1118, 621, 979, 2476, 855, 1565, 11005, 2553, 1522, 948, 596, 1745, 1732, 2949, 563, 273, 269, 13772, 856, 585, 12153, 281, 8347, 5329, 3950, 540, 1919, 602, 3100, 547, 22009, 707, 2589, 267, 899, 1808, 3536, 267, 6464, 267, 610, 3929, 2621, 269, 1635, 7114, 1761, 12153, 267, 596, 666, 1491, 3268, 547, 7413, 4598, 563, 274, 269, 13773, 19872, 281, 25530, 7899, 540, 1216, 2337, 2226, 1434, 1072, 543, 7028, 2960, 7067, 563, 275, 269, 4045, 609, 1866, 281, 32695, 547, 2828, 267, 1920, 2818, 267, 610, 1489, 2516, 666, 1683, 4313, 1282, 4101, 2053, 269, 19457, 2833, 5932, 4296, 543, 16877, 721, 2336, 276, 269, 8617, 2638, 5725, 281, 16731, 707, 4387, 5781, 547, 6895, 3356, 543, 4188, 2126, 4566, 9935, 780, 1262, 6962, 4373, 3383, 972, 596, 723, 621, 1107, 606, 4367, 547, 519, 9159, 1158, 540, 13397, 1156, 4643, 639, 256, 9282, 972, 781, 1869, 1454, 9814, 4478, 713, 28430, 2960, 2783, 267, 1620, 922, 9238, 2306, 2713, 609, 621, 1447, 18447, 269, 2060, 1697, 1416, 543, 2359, 2994, 267, 2043, 4299, 676, 13397, 1156, 4643, 639, 666, 1291, 16180, 2729, 1247, 2564, 3173, 3136, 5275, 4267, 3297, 713, 8049, 2013, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 299, 545, 1156, 4643, 639, 630, 10861, 264, 568, 5156, 547, 581, 16991, 2783, 609, 606, 7164 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15368, 1791, 12833, 698, 1588, 1496, 10292, 2639, 288, 22787, 610, 6864, 1600, 267, 22623, 1470, 2275, 969, 673, 22882, 25983, 1275, 5473, 22623, 658, 23928, 267, 1141, 519, 9133, 540, 519, 476, 273, 526, 17818, 26485, 630, 9471, 267, 5212, 2632, 1355, 1184, 264, 568, 19774, 16057, 543, 17911, 569, 630, 3724, 1189, 264, 883, 519, 703, 2350, 31424, 2230, 1788, 532, 1657, 519, 585, 29546, 3172, 636, 269, 5178, 1791, 12833, 1725, 566, 568, 3361, 676, 713, 22636, 609, 3339, 5642, 630, 553, 10353, 547, 5178, 1791, 6764, 1833, 602, 2164, 689, 21352, 532, 540, 519, 5642, 1040, 5178, 1791, 12833, 1725, 566, 543, 5178, 1791, 6764, 1833, 1312, 666, 2014, 1761, 13496, 540, 519, 2634, 980, 563, 26872, 7982, 547, 3794, 27443, 12039, 0, 419, 484, 365, 16583, 355, 419, 494, 484, 7430, 357, 419, 352, 479, 20693, 505, 421, 479, 372, 10254, 354, 11210, 496, 10254, 358, 17958, 7430, 501, 7430, 509, 12530, 501, 12530, 359, 12530, 367, 12530, 486, 417, 509, 374, 23521, 379, 7430, 489, 11210, 487, 28374, 12530, 489, 12530, 481, 11210, 365, 12530, 360, 418, 379, 481, 419, 372, 362, 7430, 357, 12571, 360, 20069, 19404, 495, 31271, 508, 29873, 26166, 28374, 418, 490, 503, 417, 489, 499, 1496, 514, 5545, 316, 19162, 601, 18401, 689, 7179, 539, 18065, 8274, 543, 17392, 540, 4033, 15689, 676, 14333, 9615, 543, 25080, 9484, 9653, 1496, 514, 5545, 2639, 16966, 713, 9137, 454, 15507, 713, 9137, 454, 1103, 606, 3801, 547, 9156, 19695, 543, 4894, 11991, 2609, 1282, 519, 7601, 1159, 601, 1154, 267, 16760, 3653, 7179, 539, 18065, 8274, 630, 15425, 289, 264, 729, 5701, 676, 1797, 540, 3002, 2126, 543, 6419, 9668, 269, 3509, 3818, 2000, 599, 1229, 17375, 29522, 630, 7876, 6717, 338, 264, 1519, 19695, 723, 1044, 15841, 593, 20111, 269, 2368, 16066, 6717, 338, 1131, 581, 13671, 1851, 519, 5266, 1507, 5536, 540, 16760, 20111, 267, 6466, 1866, 9327, 1405, 581, 4174, 5529, 689, 1292, 4604, 1317, 16066, 6717, 814, 1044, 17498, 1242, 269, 769, 519, 1101, 4603, 267, 20111, 1510, 15841, 2694, 27195, 16066, 6717, 729, 5701, 538, 513, 9436, 5790, 693, 2837, 267, 8151, 689, 476, 6507, 274, 547, 476, 9032, 274, 298, 267, 1247, 519, 21225, 729, 11275, 1227, 9674, 269, 19162, 601, 729, 13671, 538, 3172, 7497, 267, 6466, 7601, 729, 5631, 6394, 538, 1875, 2173, 1725, 7497, 269, 19162, 601, 3446, 538, 3172, 7497, 729, 2362, 693, 3448, 1164, 2837, 269, 1879, 519, 6419, 9668, 630, 332, 8568, 2361, 4222, 540, 476, 271, 269, 272, 307, 264, 729, 5645, 856, 1310, 519, 3732, 729, 12699, 693, 476, 9262, 274, 298, 543, 29971, 609, 513, 476, 275, 7825, 5496, 267, 519, 19695, 3446, 729, 8476, 689, 476, 271, 269, 1626, 260, 547, 476, 277, 269, 278, 9077, 23232, 476, 10619, 260, 540, 3049, 269, 21019, 2530, 267, 593, 519, 824, 1688, 267, 538, 3172, 7497, 729, 1447, 982, 476, 272, 10065, 476, 11025, 260, 540, 1291, 543, 476, 10844, 260, 540, 17646, 941, 9674, 689, 1875, 2173, 1725, 7497, 540, 936, 476, 275, 7825, 538, 2450, 269, 769, 519, 2034, 4603, 267, 16760, 20111, 609, 519, 2450, 896, 476, 275, 7825, 729, 11275, 1227, 9674, 269, 4107, 19695, 729, 6394, 883, 3172, 7497, 267, 799, 3568, 849, 513, 1507, 2179, 540, 4154, 269, 769, 1840, 267, 930, 1291, 2694, 1500, 540, 7601, 267, 19695, 267, 17646, 543, 13058, 726, 730, 609, 4154, 941, 849, 6394, 607, 3172, 7497, 269, 14333, 2126, 543, 6419, 9668, 941, 5342, 585, 3172, 7497, 547, 5094, 4154, 689, 3172, 7497, 1310, 19459, 1291, 2694, 269, 634, 6419, 6824, 540, 476, 273, 547, 476, 275, 7825, 538, 2450, 267, 799, 729, 6394, 676, 6419, 9668, 630, 332, 8568, 2361, 4222, 540, 476, 271, 269, 272, 307, 264, 2073, 1310, 519, 3732, 729, 12699, 538, 519, 2011, 5790, 693, 476, 9262, 274, 298, 267, 1185, 513, 19695, 3446, 540, 476, 277, 269, 280, 9077, 6466, 519, 4154, 2530, 729, 1447, 982, 476, 272, 10065, 476, 11025, 260, 540, 4401, 543, 19695, 729, 9674, 607, 3172, 7497, 563, 268, 4750, 540, 631, 11085, 297, 454, 22711, 540, 631, 11085, 297, 476, 14096, 263, 280, 1070, 476, 6812, 275, 268, 6795, 272, 267, 476, 1001, 272, 268, 5400, 268, 1839, 454, 763, 14086, 543, 10049, 14409, 4659, 540, 3567, 0, 288, 8701, 11140, 568, 835, 602, 814, 513, 2318, 5279, 593, 835, 2427, 543, 513, 2942, 5279, 593, 519, 824, 269, 634, 536, 804, 7554, 538, 519, 7623, 616, 8701, 2094, 20841, 568, 1454, 811, 18546, 821, 326, 894, 563, 3383, 568, 562, 327, 275, 8701, 610, 1875, 335, 6897, 563, 3674, 562, 327, 274, 8701, 610, 1875, 335, 6897, 2491, 269, 11512, 707, 2626, 1759, 593, 519, 18546, 821, 326, 18356, 540, 9436, 543, 7250, 8444, 269, 14348, 713, 11140, 23271, 1732, 538, 3282, 610, 1216, 269, 11061, 8701, 543, 1875, 8701, 6675, 7084, 8846, 563, 8649, 3000, 807, 568, 2808, 607, 8701, 607, 621, 814, 835, 19157, 6292, 540, 9211, 593, 519, 9436, 11046, 269, 1411, 1522, 581, 11842, 568, 20342, 513, 8701, 11140, 610, 1875, 335, 6897, 11140, 269, 898, 1281, 711, 2491, 519, 9511, 540, 519, 11140, 855, 621, 568, 513, 1900, 4464, 538, 16042, 519, 11585, 563, 3963, 568, 562, 327, 274, 20342, 8701, 269, 1772, 519, 20342, 11140, 562, 327, 552, 336, 476, 274, 552, 336, 8701, 610, 1875, 8701, 269, 14419, 519, 2949, 16702, 1961, 540, 519, 11140, 952, 3617, 563, 8649, 3000, 807, 3114, 4542, 562, 327, 274, 568, 513, 2681, 1652, 3154, 4749, 1031, 538, 519, 2504, 540, 13226, 607, 513, 7738, 3114, 543, 538, 519, 5137, 540, 9436, 748, 7135, 269, 8347, 5373, 856, 519, 269, 7102, 11140, 538, 1931, 547, 581, 5462, 607, 8701, 814, 547, 1246, 1978, 3268, 563, 763, 552, 336, 804, 476, 273, 6277, 743, 476, 273, 552, 336, 11140, 568, 513, 1875, 335, 6897, 11140, 519, 682, 342, 529, 2497, 540, 519, 7623, 568, 2016, 2630, 269, 715, 327, 274, 610, 20342, 568, 513, 8701, 11140, 269, 5637, 616, 5594, 8701, 519, 14806, 710, 538, 536, 325, 274, 568, 811, 18546, 821, 326, 894, 982, 519, 18664, 517, 2495, 602, 1247, 524, 15772, 1836, 27433, 621, 24643, 519, 3838, 6292, 540, 9211, 6251, 547, 621, 543, 2476, 689, 519, 18664, 517, 563, 4322, 3268, 786, 6166, 2436, 519, 11140, 568, 8701, 610, 1875, 8701, 269, 901, 1797, 519, 14806, 710, 568, 13148, 2258, 520, 643, 269, 8571, 519, 682, 342, 529, 6516, 585, 562, 327, 476, 274, 563, 301, 327, 275, 16139, 1756, 9357, 568, 1875, 335, 6897, 538, 2470, 1317, 540, 519, 25543, 14366, 2497, 269, 932, 275, 1131, 581, 513, 1875, 8701, 32128, 6125, 543, 607, 596, 917, 707, 737, 743, 1131, 581, 606, 25617, 11140, 269, 769, 519, 2013, 540, 562, 327, 274, 621, 568, 513, 8701, 32128, 6125, 1813, 547, 519, 10002, 8529, 9211, 563, 19352, 519, 11140, 538, 476, 274, 546, 269, 1809, 547, 1265, 856, 952, 562, 273, 568, 8701, 610, 1875, 335, 6897, 519, 682, 342, 529, 2497, 666, 7866, 519, 1655, 6475, 17539, 540, 519, 11140, 269, 5410, 519, 16702, 1961, 4090, 6152, 6516, 21985, 547, 1142, 8701, 6125, 563, 13014, 513, 5373, 547, 1489, 707, 2626, 269, 589, 682, 342, 529, 2497, 568, 513, 1360, 2241, 6041, 540, 519, 32447, 610, 856, 25958, 9211, 538, 513, 11140, 269, 2353, 519, 2185, 7250, 8444, 616, 1623, 5471, 29182, 27433, 547, 519, 9436, 11046, 543, 22599, 856, 519, 8701, 640, 540, 519, 562, 554, 7554, 4611, 538, 513, 1875, 335, 6897, 562, 327, 275, 11140, 563, 288, 8701, 11140, 568, 4646, 950, 513, 3810, 18546, 821, 326, 894, 11046, 7554, 609, 606, 18546, 821, 326, 894, 11046, 2348, 1447, 5279, 269, 1548, 3337, 568, 713, 11140, 269, 22443, 519, 11140, 607, 8701, 610, 1875, 8701, 563, 763, 16139, 1756, 9357, 568, 3812, 676, 519, 23442, 566, 540, 20342, 269, 0, 291, 24122, 8611, 5037, 568, 513, 1360, 1271, 5037, 585, 1169, 8013, 981, 269, 1924, 267, 1169, 1053, 683, 3975, 547, 8823, 713, 5037, 563, 291, 24122, 674, 1197, 24225, 454, 291, 24122, 8611, 568, 519, 8106, 610, 20178, 20723, 1826, 540, 8650, 8611, 3361, 676, 519, 4323, 540, 28939, 3644, 538, 1480, 1560, 269, 21298, 267, 972, 814, 1044, 606, 12176, 540, 28939, 8611, 538, 16273, 269, 1656, 519, 15298, 540, 713, 30270, 568, 513, 2027, 2186, 540, 18151, 1572, 2048, 288, 26433, 17483, 7212, 972, 568, 513, 2603, 540, 11784, 827, 28939, 8611, 538, 713, 2197, 267, 972, 568, 1100, 2601, 547, 581, 12922, 269, 4706, 16185, 543, 6604, 568, 1454, 4443, 1256, 2386, 269, 667, 24122, 8611, 1101, 7902, 538, 476, 5197, 538, 519, 2475, 1533, 540, 15740, 269, 3973, 538, 476, 4572, 273, 621, 2968, 15435, 538, 519, 2829, 540, 7147, 543, 17039, 538, 519, 2136, 2276, 563, 1103, 5245, 538, 476, 4572, 279, 543, 538, 476, 4572, 279, 4658, 5884, 540, 28939, 8611, 538, 10255, 269, 634, 1101, 28939, 3644, 729, 4857, 538, 5607, 543, 519, 7414, 1282, 2622, 2782, 4083, 269, 769, 476, 3707, 275, 269, 15751, 9410, 4362, 519, 28939, 3644, 269, 27275, 3942, 540, 28939, 667, 24122, 20178, 20723, 8611, 269, 1656, 713, 8611, 568, 1034, 11342, 538, 3162, 7232, 770, 5607, 563, 1103, 476, 2735, 271, 267, 519, 9860, 540, 20178, 20723, 8611, 2799, 538, 811, 982, 476, 3445, 2477, 1472, 519, 1158, 269, 769, 476, 3422, 272, 267, 519, 8611, 1586, 3262, 547, 27816, 269, 4340, 547, 513, 1867, 676, 519, 2622, 2657, 9257, 267, 827, 476, 2412, 268, 3393, 2929, 1004, 5001, 616, 7783, 609, 28939, 8611, 1142, 1032, 563, 9827, 3367, 281, 21058, 2069, 5037, 454, 6624, 2729, 723, 1044, 2879, 520, 3481, 676, 519, 15265, 28939, 8611, 269, 769, 519, 2085, 540, 2564, 2257, 1967, 267, 971, 606, 2150, 830, 569, 2669, 568, 711, 14909, 269, 1924, 649, 782, 991, 547, 581, 21713, 865, 602, 519, 10475, 1272, 568, 711, 4503, 1813, 547, 28939, 8611, 563, 291, 24122, 674, 1197, 24225, 630, 273, 994, 291, 24122, 8611, 568, 513, 1826, 540, 15978, 18151, 25645, 10717, 1166, 23042, 3644, 269, 901, 8611, 568, 2356, 540, 1079, 2010, 269, 8745, 569, 268, 18190, 667, 24122, 674, 1197, 543, 12920, 16964, 20723, 667, 24122, 674, 1197, 269, 1703, 616, 476, 275, 2010, 540, 28939, 3644, 269, 1452, 1331, 667, 2894, 268, 272, 267, 667, 2894, 268, 273, 267, 667, 2894, 268, 274, 267, 543, 667, 2894, 268, 275, 563, 291, 24122, 666, 581, 3361, 676, 476, 279, 2010, 269, 1717, 267, 1851, 891, 616, 14686, 667, 2894, 268, 273, 267, 667, 2894, 268, 274, 269, 1452, 1079, 2010, 540, 28939, 3644, 616, 519, 2014, 540, 20178, 20723, 28939, 8611, 269, 589, 26433, 11438, 519, 28939, 3644, 540, 1079, 2249, 267, 589, 19947, 564, 2967, 543, 589, 26433, 620, 777, 7978, 269, 1358, 4163, 1480, 1973, 585, 9960, 538, 713, 4005, 563, 1607, 568, 1317, 1480, 1973, 568, 519, 1655, 1426, 585, 554, 10248, 741, 5798, 269, 1656, 1247, 4189, 1973, 267, 519, 28939, 3644, 13788, 519, 1560, 540, 519, 18151, 269, 1306, 513, 1267, 267, 519, 18151, 3587, 20715, 543, 952, 2576, 568, 3787, 1084, 267, 621, 4991, 28939, 8611, 269, 769, 2013, 540, 28939, 8611, 267, 938, 1292, 4305, 568, 547, 3343, 519, 948, 540, 513, 4387, 543, 1491, 15324, 3800, 563, 763, 1739, 3800, 666, 581, 3144, 585, 713, 269, 476, 272, 269, 589, 26433, 19498, 616, 19057, 540, 28939, 8611, 267, 865, 519, 1852, 540, 15298, 19498, 568, 519, 1292, 1259, 547, 2061, 28939, 8611, 269, 476, 273, 269, 589, 26433, 19498, 2482, 741, 5798, 538, 1216, 13792, 538, 8768, 8685, 338, 267, 30694, 11149, 267, 27120, 267, 17310, 6095, 4133, 267, 1286, 18646, 267, 3092, 269, 693, 1753, 563, 9827, 3367, 281, 6176, 2029, 5037, 454, 4322, 1216, 4859, 2127, 723, 547, 581, 10032, 269, 476, 274, 269, 634, 1216, 538, 519, 2777, 1058, 581, 19345, 5781, 269, 476, 275, 269, 589, 26433, 19498, 11116, 1282, 519, 1554, 267, 865, 596, 991, 547, 946, 18151, 24437, 1247, 12008, 1282, 519, 1554, 269, 476, 276, 269, 1403, 28939, 568, 16143, 267, 513, 4387, 779, 5796, 1058, 581, 3144, 563, 291, 24122, 674, 1197, 24225, 630, 274, 994, 9617, 607, 519, 2413, 2257, 543, 519, 2029, 723, 4547, 827, 9097, 2242, 538, 519, 2361, 540, 4915, 267, 1007, 14686, 3676, 616, 849, 17729, 538, 519, 1158, 269, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 3018, 779, 3377, 516, 601, 689, 3703, 11202, 2946, 12857, 519, 3794, 8803, 26566, 767, 514, 14174, 310, 269, 272, 267, 835, 540, 1896, 1007, 25142, 8484, 547, 4283, 3028, 609, 519, 17241, 293, 538, 519, 476, 4198, 271, 338, 269, 634, 1079, 5498, 520, 3781, 25142, 270, 5793, 1061, 528, 729, 519, 1101, 17241, 293, 8484, 547, 4183, 513, 18232, 13617, 543, 519, 17241, 293, 779, 1101, 3483, 32472, 782, 32734, 1430, 18448, 528, 269, 2859, 982, 476, 6110, 941, 3710, 563, 5575, 10024, 3028, 538, 476, 4198, 277, 609, 476, 5379, 8293, 611, 1258, 267, 519, 26566, 767, 514, 8719, 519, 25561, 3781, 25142, 269, 2991, 513, 1032, 540, 3573, 2866, 543, 5432, 5314, 15961, 267, 476, 15221, 8293, 611, 1258, 1287, 2220, 11474, 922, 10469, 1682, 585, 26566, 767, 1231, 543, 519, 1826, 5555, 4718, 3028, 538, 476, 736, 27805, 6425, 269, 1635, 476, 4198, 280, 267, 621, 1185, 1831, 519, 17241, 293, 779, 3119, 3781, 1922, 7660, 563, 13070, 850, 267, 17841, 267, 543, 2653, 547, 1852, 267, 519, 26566, 767, 514, 729, 606, 2500, 1826, 543, 1134, 25252, 1243, 585, 922, 1909, 23344, 27333, 513, 811, 2352, 8484, 547, 2226, 269, 898, 729, 5827, 540, 476, 29637, 330, 1206, 543, 1185, 513, 18109, 538, 4430, 540, 476, 2004, 267, 1822, 1111, 267, 2039, 729, 1472, 476, 272, 267, 1822, 5195, 269, 2271, 2105, 547, 581, 11439, 609, 28862, 267, 1991, 547, 519, 4367, 540, 519, 14174, 310, 269, 278, 519, 25142, 729, 11439, 9003, 609, 2185, 476, 1789, 7825, 5084, 2894, 666, 12061, 269, 634, 14174, 310, 269, 278, 543, 2663, 14726, 5645, 606, 6186, 3512, 540, 2185, 9605, 560, 516, 752, 28862, 538, 1840, 547, 519, 666, 12061, 563, 4407, 2938, 607, 519, 11315, 3160, 547, 8484, 971, 607, 519, 28865, 610, 7256, 966, 1460, 523, 267, 519, 26566, 767, 514, 729, 1114, 538, 602, 729, 16363, 547, 723, 811, 1761, 585, 1646, 543, 11028, 18590, 267, 4323, 267, 543, 1256, 513, 6094, 26310, 539, 647, 17367, 545, 14583, 941, 3978, 3981, 1431, 2394, 23545, 539, 1739, 30338, 9995, 344, 779, 4347, 775, 6519, 7433, 563, 763, 1826, 3459, 547, 581, 943, 1078, 856, 1282, 519, 2038, 476, 3422, 271, 338, 267, 25436, 17660, 676, 519, 647, 17367, 545, 2296, 11272, 8752, 940, 269, 634, 2063, 26566, 767, 1231, 941, 32585, 689, 519, 17241, 293, 779, 10787, 5101, 5794, 10414, 538, 476, 3422, 279, 269, 0, 1607, 2866, 1576, 568, 6322, 693, 3173, 693, 519, 2022, 3766, 571, 9958, 1377, 543, 2488, 513, 3102, 4367, 547, 513, 3099, 540, 7286, 14449, 543, 12043, 543, 519, 946, 540, 3301, 585, 10282, 543, 2079, 540, 7286, 1239, 269, 634, 2956, 540, 1434, 1382, 1239, 2359, 2853, 543, 519, 1909, 540, 3173, 786, 849, 581, 12006, 269, 9608, 3785, 616, 4843, 676, 519, 1053, 693, 519, 1439, 540, 519, 1576, 563, 10481, 2214, 7652, 2257, 2488, 4105, 1344, 585, 519, 4264, 4058, 540, 519, 946, 540, 519, 9381, 2200, 269, 901, 1576, 2488, 606, 7650, 540, 22944, 3156, 17640, 547, 9381, 11837, 269, 898, 786, 1683, 519, 2596, 22944, 11837, 2553, 593, 9381, 11761, 267, 22600, 17311, 543, 14147, 11818, 1210, 1930, 2707, 22944, 2645, 269, 634, 1576, 849, 2882, 1239, 11601, 267, 4393, 267, 2079, 543, 7664, 540, 9381, 8901, 1239, 269, 769, 1840, 267, 3573, 3946, 593, 7886, 786, 581, 5342, 547, 946, 2645, 585, 7041, 540, 21044, 3490, 7851, 585, 9381, 5464, 563, 1607, 1576, 2488, 606, 7650, 540, 4170, 585, 12180, 513, 3194, 14265, 1047, 1369, 513, 1788, 543, 5924, 26446, 513, 7662, 585, 6928, 942, 269, 634, 1576, 3217, 1747, 5631, 538, 513, 4928, 855, 2882, 513, 3643, 547, 513, 13149, 6728, 543, 513, 1382, 6077, 267, 1141, 5171, 786, 581, 5189, 547, 10386, 3937, 543, 7286, 1382, 5989, 1031, 585, 593, 4580, 1382, 267, 1519, 23405, 540, 519, 946, 543, 5826, 540, 7286, 10386, 3937, 267, 5836, 4919, 630, 6798, 1670, 267, 3114, 543, 2168, 1239, 264, 10386, 267, 1239, 4015, 543, 1239, 2359, 563, 10574, 14839, 568, 519, 2257, 540, 10503, 519, 4644, 540, 1239, 676, 11093, 621, 538, 513, 3308, 2796, 269, 769, 519, 1699, 9183, 621, 568, 1360, 3730, 585, 7231, 609, 7286, 1558, 1239, 607, 3270, 267, 3466, 543, 21374, 602, 1522, 979, 32373, 539, 538, 1257, 2861, 1239, 666, 581, 6534, 543, 6444, 4443, 609, 1239, 14839, 3301, 563, 763, 1699, 1576, 786, 6542, 519, 946, 540, 1930, 2707, 3301, 674, 2207, 3918, 307, 585, 5108, 540, 4880, 290, 5263, 1239, 543, 14650, 1585, 2010, 540, 13602, 267, 4688, 543, 19074, 873, 693, 513, 2663, 3942, 269, 634, 1576, 568, 2966, 547, 581, 513, 3575, 540, 1312, 4052, 543, 7811, 7886, 563, 288, 15501, 543, 20505, 454, 268, 3629, 606, 4598, 547, 4578, 10439, 1436, 1210, 674, 2207, 3918, 307, 563, 268, 19087, 540, 20072, 547, 14650, 1585, 2010, 540, 1239, 5036, 630, 272, 291, 267, 476, 273, 291, 267, 476, 274, 291, 3092, 1916, 268, 9524, 1239, 2079, 267, 5352, 3773, 1871, 2472, 563, 14976, 1225, 810, 540, 516, 576, 19448, 1593, 764, 18059, 16948, 17485, 9694, 2803, 632, 3611, 657, 2261, 16394, 513, 2364, 18372, 1714, 590, 626, 9047, 632, 22252, 24265, 2983, 690, 337, 5451, 325, 3821, 630, 306, 5456, 264, 679, 1714, 1199, 1470, 2261, 3626, 3351, 714, 18372, 1714, 3301, 20211, 31043, 269, 6480, 334, 13141, 340, 6614, 3288, 740, 638, 529, 545, 18059, 267, 605, 806, 600, 1304, 334, 267, 606, 5451, 5894, 529, 552, 4612, 24265, 632, 17485, 3611, 657, 586, 679, 3288, 1212, 24265, 632, 1587, 657, 16948, 3284, 1195, 541, 17485, 1982, 553, 2261, 16394, 586, 1942, 14058, 563, 18404, 553, 586, 5136, 27826, 643, 657, 454, 3682, 1602, 322, 542, 541, 1523, 657, 267, 11028, 665, 518, 1714, 30775, 542, 600, 1304, 334, 586, 1766, 24265, 1642, 590, 626, 9047, 632, 22252, 24265, 2983, 690, 337, 5451, 325, 3821, 630, 306, 5456, 264, 586, 513, 2364, 30685, 525, 16948, 1714, 1199, 1470, 19355, 324, 2261, 3626, 586, 1942, 3266, 563, 763, 476, 272, 560, 7256, 10574, 30208, 2866, 13186, 786, 581, 4371, 693, 20648, 270, 296, 8016, 5741, 8433, 585, 594, 7495, 292, 267, 744, 739, 29868, 267, 19934, 563, 10521, 2147, 7886, 540, 476, 274, 2395, 616, 16516, 593, 912, 268, 476, 736, 268, 2641, 268, 2420, 4873, 476, 1001, 279, 454, 268, 476, 1839, 268, 2918, 268, 2767, 4873, 476, 1001, 279, 454, 1607, 1576, 786, 6542, 519, 1239, 2200, 2139, 689, 10512, 1982, 269, 634, 1445, 786, 581, 593, 10512, 2238, 267, 875, 547, 4647, 1239, 543, 946, 3301, 547, 14650, 269, 898, 786, 581, 513, 3575, 540, 4052, 543, 7811, 563, 10481, 334, 11966, 568, 606, 1930, 2707, 3760, 585, 4687, 2520, 2214, 7652, 1239, 543, 7851, 269, 898, 568, 513, 1357, 2861, 3498, 543, 3760, 585, 3384, 2520, 2214, 7652, 1344, 1949, 630, 31043, 264, 543, 585, 11766, 532, 8901, 1239, 1102, 2858, 23461, 630, 306, 14888, 1916, 10481, 334, 11966, 568, 519, 3760, 585, 519, 3979, 26066, 543, 13149, 25304, 630, 3722, 7246, 1040, 1452, 2866, 1576, 4967, 616, 1759, 593, 519, 8028, 7246, 2983, 334, 11966, 9751, 22544, 4371, 538, 4210, 752, 641, 24792, 267, 21601, 28992, 538, 4728, 476, 1001, 279, 563, 268, 6092, 15503, 1315, 26189, 528, 281, 15535, 32149, 0, 9336, 1032, 972, 616, 9118, 8320, 267, 538, 1312, 19742, 543, 4108, 3871, 267, 1141, 513, 3461, 2771, 1622, 513, 7934, 532, 10138, 281, 2290, 1141, 519, 8728, 540, 519, 10138, 616, 1373, 15504, 2476, 689, 835, 1776, 269, 901, 568, 513, 1455, 8289, 585, 1101, 4431, 619, 543, 538, 1034, 2665, 891, 616, 18808, 609, 1210, 521, 583, 999, 543, 6512, 1137, 269, 901, 1935, 568, 2500, 267, 855, 621, 568, 942, 10438, 543, 972, 568, 606, 7915, 1981, 547, 519, 1101, 4431, 518, 1210, 513, 521, 1956, 13549, 267, 4988, 538, 1973, 267, 538, 513, 1164, 3613, 816, 9183, 630, 928, 539, 548, 3613, 1157, 7063, 585, 1383, 1916, 1607, 5647, 1131, 1450, 585, 513, 1875, 29554, 267, 1970, 1981, 543, 2656, 4244, 547, 519, 946, 540, 521, 583, 999, 585, 7934, 532, 16398, 269, 634, 1587, 5161, 540, 513, 3259, 6512, 720, 1570, 609, 4481, 5116, 23287, 7252, 547, 1450, 19671, 2798, 593, 519, 2960, 269, 634, 9018, 23287, 7252, 616, 6534, 543, 5116, 693, 519, 6316, 540, 519, 7934, 532, 10138, 267, 609, 519, 3259, 540, 519, 6512, 720, 1570, 17364, 519, 10138, 269, 3245, 1934, 267, 519, 8998, 540, 519, 1587, 568, 15504, 909, 543, 2476, 689, 519, 10138, 15029, 519, 3490, 540, 519, 6512, 720, 568, 8930, 3481, 269, 901, 786, 3142, 519, 8728, 540, 519, 10138, 883, 12972, 269, 634, 7299, 3259, 540, 6512, 720, 666, 1287, 581, 25649, 1524, 543, 740, 22363, 547, 519, 2960, 547, 1832, 519, 10138, 9505, 269, 901, 568, 513, 5488, 1259, 540, 14656, 7934, 532, 16398, 799, 1281, 711, 16616, 519, 3461, 610, 519, 4387, 270, 1612, 3139, 545, 547, 1022, 4220, 689, 513, 5732, 13572, 13549, 269, 901, 786, 1450, 1101, 4431, 619, 547, 3533, 2673, 16398, 602, 1131, 6382, 10460, 543, 3968, 1981, 267, 543, 13604, 1450, 811, 942, 585, 2359, 540, 519, 3461, 779, 811, 1272, 18446, 7063, 269, 901, 1131, 849, 1450, 585, 513, 1447, 7298, 10077, 689, 519, 5945, 269, 634, 6806, 10138, 1223, 1287, 581, 521, 1956, 323, 538, 513, 4791, 4259, 952, 2556, 269, 901, 1587, 949, 3068, 7687, 585, 7934, 532, 16398, 593, 4552, 344, 2127, 540, 2960, 267, 1498, 891, 2127, 1223, 581, 695, 8491, 267, 607, 568, 1455, 2259, 609, 1857, 14025, 1219, 2320, 650, 1807, 20164, 269, 2859, 982, 835, 949, 723, 547, 581, 1031, 585, 3677, 16398, 563, 763, 5478, 540, 713, 1587, 568, 1970, 1942, 607, 519, 2694, 2907, 2291, 543, 616, 8045, 538, 519, 1455, 29147, 630, 20084, 8358, 17020, 5025, 573, 630, 24433, 1040, 4595, 713, 5647, 3340, 1100, 4496, 267, 6297, 24386, 610, 10347, 13613, 540, 521, 1956, 8142, 267, 519, 5663, 3790, 267, 543, 11668, 4170, 267, 540, 713, 1587, 616, 3648, 1447, 982, 602, 540, 606, 6595, 521, 1956, 6539, 563, 1607, 1587, 1131, 1265, 1034, 946, 538, 6595, 2564, 3871, 1141, 942, 568, 540, 519, 9759, 543, 7934, 532, 16398, 10460, 606, 3968, 543, 11702, 1981, 269, 4653, 267, 6595, 2533, 538, 519, 5177, 798, 711, 723, 1945, 28330, 547, 713, 1587, 267, 3079, 1210, 521, 1956, 20164, 269, 1703, 568, 606, 30753, 7934, 538, 519, 2344, 585, 513, 2922, 267, 2500, 543, 10464, 4244, 585, 521, 1956, 20164, 538, 519, 8650, 6595, 4259, 563, 5723, 27345, 5990, 13673, 15045, 19611, 454, 13911, 540, 7127, 281, 785, 1339, 0, 7069, 8004, 543, 594, 2731, 9939, 539, 856, 609, 938, 1007, 1747, 538, 4516, 269, 1284, 2661, 1318, 1985, 547, 513, 6288, 267, 543, 972, 779, 513, 524, 9127, 1524, 519, 4155, 269, 1284, 849, 723, 8748, 30256, 269, 1809, 519, 1655, 851, 540, 938, 1007, 1753, 568, 676, 2484, 938, 15813, 28867, 3581, 269, 1358, 1491, 803, 585, 15211, 543, 723, 803, 936, 950, 1250, 8004, 4422, 856, 610, 12599, 269, 13185, 827, 13941, 609, 938, 536, 4548, 538, 519, 7423, 2336, 299, 2299, 1498, 267, 1945, 814, 4957, 269, 594, 16620, 8885, 2731, 269, 594, 729, 15069, 971, 1390, 2754, 602, 938, 28867, 3581, 4956, 789, 8910, 899, 513, 811, 2407, 6066, 13959, 269, 634, 1966, 596, 2307, 286, 4270, 267, 789, 1904, 539, 856, 540, 22578, 524, 3291, 956, 543, 538, 585, 26804, 7959, 269, 1656, 621, 779, 1044, 606, 16369, 547, 2161, 519, 2547, 269, 20821, 13198, 857, 519, 3032, 269, 5213, 1406, 1577, 1200, 6653, 16538, 18174, 596, 267, 1352, 779, 32049, 269, 17610, 267, 1352, 779, 513, 10116, 1250, 2450, 855, 607, 596, 666, 1294, 267, 1352, 3652, 519, 887, 739, 543, 594, 6557, 711, 2921, 1022, 8458, 563, 20062, 16730, 11298, 2464, 24199, 30264, 2752, 2910, 10933, 20978, 888, 293, 792, 568, 513, 2067, 17872, 3210, 547, 1018, 649, 13498, 607, 1373, 17116, 269, 898, 779, 2629, 585, 6668, 269, 898, 779, 1419, 711, 3362, 6045, 267, 799, 568, 1018, 2306, 621, 971, 606, 4277, 1888, 585, 1382, 269, 21824, 814, 1044, 2404, 609, 519, 993, 17789, 323, 8403, 630, 680, 1116, 281, 993, 17789, 30445, 2801, 1070, 513, 2497, 2620, 538, 519, 13796, 27914, 540, 519, 2634, 2282, 519, 28481, 25283, 269, 898, 779, 1419, 4330, 607, 968, 531, 12107, 11057, 892, 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 ]
[ 16817, 729, 513, 29489, 543, 10196, 689, 476, 5197, 280, 2394, 476, 6245, 273, 630, 321, 1470, 2593, 267, 589, 261, 292, 751, 4582, 2888, 1040, 1261, 3357, 909, 609, 519, 4583, 834, 763, 800, 540, 12472, 1701, 901, 3069, 2829, 602, 834, 14588, 2886, 2097, 543, 979, 998, 942, 267, 1247, 789, 2291, 789, 1689, 257, 12462, 28846, 16817, 1299, 12472, 26158, 901, 812, 729, 5018, 538, 968, 293, 16366, 476, 26493, 892, 1317, 621, 568, 2312, 602, 24053, 8053, 698, 814, 4957, 689, 519, 4098, 540, 519, 3209, 547, 519, 1439, 269, 1261, 6238, 1055, 607, 513, 3595, 2006, 945, 5036, 8075, 593, 3595, 609, 519, 15896, 540, 2835, 563, 2108, 2048, 2467, 1590, 581, 1945, 538, 2835, 267, 1919, 649, 666, 1406, 4952, 267, 547, 1118, 513, 4807, 3251, 538, 513, 8781, 2777, 282, 2560, 1411, 1810, 1406, 3251, 585, 4986, 685, 892, 630, 289, 2784, 12064, 476, 7918, 1040, 901, 4849, 689, 14105, 17659, 12064, 779, 18278, 476, 26493, 568, 1945, 24053, 8053, 698, 267, 519, 1650, 779, 1292, 1915, 945, 568, 513, 3595, 2006, 267, 13290, 547, 4137, 856, 269, 769, 713, 13777, 22618, 4259, 267, 4401, 1227, 267, 3595, 5443, 798, 711, 2322, 856, 11642, 267, 2705, 267, 789, 1376, 873, 269, 634, 3595, 5443, 779, 2816, 538, 519, 3209, 568, 547, 6633, 1524, 8075, 799, 2270, 2835, 267, 543, 547, 1118, 2386, 602, 2835, 616, 10032, 269, 634, 2486, 538, 519, 3209, 568, 835, 602, 568, 18930, 539, 609, 2029, 543, 814, 1004, 945, 616, 1932, 1266, 1484, 539, 538, 741, 751, 4582, 2888, 543, 741, 30069, 1287, 547, 1224, 2835, 543, 598, 2091, 609, 835, 1776, 563, 1103, 519, 1101, 2185, 3817, 540, 18278, 476, 26493, 267, 14105, 17659, 12064, 3096, 27461, 1893, 547, 4766, 875, 8053, 698, 2729, 795, 665, 1495, 569, 17399, 656, 827, 1010, 21603, 2486, 267, 950, 538, 4641, 646, 568, 21006, 621, 269, 17659, 12064, 5956, 676, 10503, 8053, 698, 607, 2576, 945, 21593, 9552, 609, 1010, 968, 325, 30711, 12837, 892, 630, 289, 2784, 12064, 476, 275, 264, 7567, 1034, 4961, 538, 713, 13777, 22618, 2486, 2147, 547, 1699, 2486, 267, 585, 968, 2005, 729, 513, 2027, 12257, 547, 1294, 1919, 13881, 267, 547, 1294, 1919, 3109, 2989, 543, 4957, 892, 630, 289, 2784, 12064, 476, 273, 1040, 4563, 2989, 543, 4957, 568, 513, 14165, 585, 519, 1184, 538, 799, 3595, 5443, 6633, 1702, 856, 540, 2486, 267, 1945, 8053, 698, 11099, 568, 1318, 543, 3217, 851, 538, 269, 1261, 14659, 602, 8781, 568, 513, 4190, 3364, 547, 798, 267, 543, 602, 1010, 3946, 616, 968, 1492, 3946, 540, 930, 5863, 18364, 4730, 454, 28317, 1433, 568, 513, 16041, 7784, 538, 519, 2777, 1985, 7450, 2507, 5808, 6487, 945, 1522, 581, 519, 3077, 540, 519, 1134, 22345, 812, 892, 607, 1767, 676, 2278, 14105, 17659, 12064, 269, 14105, 17659, 12064, 267, 568, 519, 2278, 540, 519, 3209, 18278, 476, 26493, 269, 7734, 941, 513, 5906, 3364, 538, 519, 476, 13078, 274, 29711, 1014, 2486, 540, 799, 18278, 476, 26493, 568, 1759, 269, 3509, 1919, 616, 20328, 689, 875, 1919, 616, 2221, 269, 1280, 1383, 267, 23001, 16146, 798, 711, 2322, 856, 11642, 15042, 267, 789, 1376, 873, 563, 22897, 5526, 547, 798, 519, 6158, 811, 1419, 1631, 602, 3425, 723, 13151, 3518, 539, 547, 621, 269, 769, 519, 13777, 22618, 2486, 540, 18278, 476, 26493, 2029, 568, 4359, 855, 849, 22392, 269, 3509, 1004, 1369, 14105, 17659, 12064, 779, 3209, 616, 8697, 676, 519, 13120, 540, 519, 5969, 6316, 8613, 5496, 269, 1215, 814, 2029, 4299, 519, 3356, 540, 8103, 286, 769, 519, 3209, 267, 24053, 8053, 698, 8942, 547, 8853, 538, 513, 1158, 1141, 6517, 666, 979, 476, 3199, 18890, 538, 6071, 7643, 855, 1287, 646, 30877, 646, 568, 711, 5963, 6126, 609, 5128, 563, 300, 2632, 698, 568, 2907, 4330, 607, 513, 3787, 540, 513, 7510, 668, 8643, 659, 267, 513, 1268, 609, 606, 30442, 7287, 547, 1305, 3595, 547, 1919, 269, 1677, 581, 2312, 8053, 698, 568, 513, 3595, 2006, 267, 855, 711, 519, 2186, 602, 12662, 856, 11642, 267, 519, 2186, 602, 6238, 11642, 547, 6633, 2835, 269, 630, 4306, 11246, 292, 268, 273, 264, 8053, 698, 666, 849, 581, 4330, 607, 6126, 538, 3296, 476, 272, 2094, 646, 6811, 602, 646, 2108, 326, 12541, 2740, 519, 18979, 1989, 514, 540, 782, 2367, 2206, 539, 543, 9141, 1394, 676, 18723, 269, 13536, 267, 2469, 547, 3207, 267, 646, 1131, 1745, 519, 535, 30711, 12837, 1869, 17680, 5529, 676, 1010, 3068, 6091, 267, 538, 519, 4158, 269, 898, 2760, 4682, 2476, 267, 602, 563, 293, 16366, 3883, 22210, 518, 769, 519, 1433, 18278, 476, 26493, 3595, 5443, 6633, 8075, 3079, 540, 8380, 11642, 856, 2073, 663, 519, 2278, 7101, 17659, 12064, 2882, 875, 2029, 568, 968, 21982, 936, 519, 19004, 6100, 9605, 5443, 616, 519, 2384, 18779, 540, 519, 2104, 1158, 2073, 663, 930, 3425, 723, 1500, 9073, 676, 15720, 2835, 269, 634, 2278, 8761, 2429, 519, 3209, 875, 1395, 32002, 4422, 998, 7004, 543, 875, 646, 2242, 269, 24053, 8053, 698, 814, 2760, 20402, 1010, 2816, 1354, 646, 2479, 1558, 22548, 23579, 15966, 548, 961, 534, 269, 1280, 3236, 24053, 8053, 698, 568, 21947, 609, 513, 2219, 538, 2247, 540, 875, 646, 1281, 711, 1174, 519, 2898, 5168, 827, 2835, 563, 10521, 9583, 796, 531, 833, 2835, 899, 18278, 476, 26493, 2854, 676, 14105, 17659, 12064, 543, 21931, 540, 519, 5020, 540, 19291, 30463, 2854, 676, 5128, 1683, 513, 1390, 1383, 540, 9236, 519, 1079, 1114, 4798, 543, 1256, 4466, 1455, 3283, 1063, 873, 269, 5272, 942, 513, 1433, 568, 1224, 267, 2620, 2219, 1058, 581, 3144, 538, 1931, 547, 4628, 1174, 519, 4798, 543, 26069, 519, 2278, 568, 3843, 547, 20818, 593, 1010, 610, 1200, 5304, 269, 769, 713, 2013, 267, 519, 13287, 585, 513, 2362, 2069, 267, 5191, 267, 543, 3384, 13951, 269, 18278, 476, 26493, 568, 513, 1433, 827, 606, 4948, 3595, 2006, 2713, 538, 513, 2104, 2136, 2276, 4171, 2816, 568, 547, 6633, 2835, 269, 2311, 519, 4098, 540, 519, 1433, 267, 519, 1292, 1915, 267, 8053, 698, 267, 10742, 513, 8004, 945, 14560, 547, 1224, 630, 289, 2784, 12064, 476, 275, 1040, 0, 2414, 519, 15503, 2443, 23634, 15530, 4149, 17505, 31712, 1696, 620, 269, 272, 8044, 602, 20133, 558, 1227, 2413, 3425, 630, 4456, 295, 338, 264, 8452, 538, 519, 7013, 30345, 1014, 18686, 676, 1472, 9625, 6246, 269, 271, 1700, 2412, 269, 279, 26215, 730, 8536, 1296, 1354, 519, 1459, 630, 5632, 25697, 22680, 1040, 901, 2022, 12885, 606, 3592, 21800, 12625, 540, 7537, 295, 338, 538, 8828, 30345, 807, 543, 824, 2694, 540, 5375, 2342, 267, 15333, 1597, 532, 19165, 540, 519, 1279, 18094, 540, 3026, 6387, 628, 1023, 538, 713, 3148, 273, 267, 274, 267, 275, 269, 634, 4589, 685, 4661, 568, 1759, 593, 476, 1704, 32619, 7389, 267, 13745, 609, 519, 11556, 602, 4494, 645, 329, 1724, 689, 519, 3135, 540, 645, 1690, 1180, 21034, 630, 300, 5451, 331, 15676, 267, 8050, 264, 666, 581, 11911, 547, 519, 7216, 29457, 793, 659, 1014, 269, 4014, 741, 6580, 2409, 543, 2164, 616, 1134, 12413, 2105, 267, 519, 4589, 2887, 2110, 593, 519, 6639, 6609, 543, 4214, 540, 519, 645, 329, 1724, 12776, 545, 31174, 720, 269, 5047, 267, 621, 568, 15458, 689, 519, 12377, 2436, 519, 7389, 616, 1031, 547, 17854, 519, 556, 5035, 2305, 540, 519, 12776, 923, 689, 645, 329, 1724, 269, 898, 1590, 581, 28703, 538, 2247, 602, 519, 1292, 7521, 593, 519, 3026, 6387, 11209, 547, 7537, 295, 5912, 568, 5340, 998, 519, 7664, 540, 519, 6639, 6080, 19962, 547, 519, 3668, 540, 20258, 3788, 563, 763, 645, 329, 1724, 31174, 720, 814, 1044, 5892, 4330, 538, 513, 1297, 540, 12326, 607, 606, 24813, 6639, 31174, 720, 609, 1312, 8984, 631, 537, 3122, 1014, 1166, 820, 1025, 3471, 543, 1644, 1025, 3471, 689, 519, 16592, 6022, 2801, 18070, 276, 267, 277, 563, 290, 677, 15530, 4149, 17505, 31712, 1696, 620, 269, 3858, 538, 519, 1957, 602, 519, 12776, 545, 31174, 720, 1281, 711, 2709, 2614, 540, 513, 10018, 547, 581, 5693, 11911, 547, 519, 2048, 3682, 1729, 5025, 584, 793, 659, 1014, 610, 7216, 29457, 793, 659, 1014, 9957, 4475, 267, 519, 2101, 1966, 568, 609, 519, 6609, 543, 4214, 540, 713, 12776, 545, 31174, 720, 269, 1403, 519, 31174, 720, 3112, 581, 5693, 11911, 547, 519, 1160, 1729, 5025, 584, 793, 659, 1014, 610, 7216, 29457, 793, 659, 1014, 267, 1946, 1058, 621, 581, 7142, 547, 798, 865, 286, 769, 1249, 267, 1896, 8449, 26363, 7653, 2291, 602, 1223, 2491, 519, 12776, 545, 31174, 720, 269, 3689, 267, 952, 519, 4494, 4564, 606, 2872, 602, 568, 5693, 16405, 5829, 855, 849, 814, 6639, 3466, 602, 616, 1114, 689, 824, 3989, 1160, 1729, 5025, 584, 793, 659, 1014, 31174, 1137, 267, 1287, 621, 1058, 581, 3989, 8335, 267, 5310, 607, 513, 1007, 543, 1114, 1110, 1275, 540, 519, 16592, 6022, 2801, 18070, 602, 729, 5892, 32373, 539, 269, 901, 1131, 711, 581, 9670, 282, 621, 4523, 782, 2059, 2342, 609, 519, 3355, 12625, 540, 7537, 295, 338, 278, 269, 11569, 267, 824, 7216, 16592, 6022, 2801, 18070, 8658, 538, 7013, 30345, 807, 1397, 1134, 31465, 1166, 820, 2994, 602, 8428, 689, 824, 3864, 8658, 279, 269, 634, 2034, 7872, 1223, 581, 602, 513, 631, 537, 3122, 1014, 4494, 16621, 5786, 9696, 540, 19059, 607, 513, 6639, 4640, 269, 23227, 908, 713, 1131, 2154, 513, 2143, 6639, 6609, 269, 2060, 519, 2963, 2016, 538, 519, 8313, 267, 2357, 4328, 2901, 540, 891, 1079, 7399, 4667, 3833, 2352, 1317, 267, 10416, 267, 649, 1294, 930, 2322, 894, 16405, 2280, 23780, 538, 513, 1305, 540, 28608, 1166, 1389, 799, 1223, 4866, 547, 1022, 15937, 20167, 626, 18152, 6022, 2801, 18070, 31174, 720, 563, 763, 3791, 7872, 1223, 581, 11159, 1670, 11544, 1063, 513, 631, 537, 3122, 1014, 543, 606, 7216, 16592, 6022, 2801, 18070, 4494, 269, 11569, 267, 645, 329, 270, 1724, 814, 1044, 4080, 547, 581, 538, 1463, 14404, 15572, 673, 3346, 609, 645, 329, 1556, 630, 308, 3899, 6022, 2801, 18070, 4494, 264, 543, 1256, 1644, 547, 1151, 604, 12999, 542, 3157, 276, 269, 634, 12377, 5337, 2803, 713, 2629, 2460, 267, 519, 22987, 540, 799, 568, 513, 1590, 538, 1022, 13946, 1604, 19962, 547, 741, 1950, 7148, 327, 517, 558, 625, 563, 1103, 519, 9000, 540, 30753, 20258, 1570, 267, 6811, 540, 13346, 4630, 514, 514, 13567, 3270, 1964, 593, 1614, 4830, 3515, 540, 1382, 281, 2357, 16666, 5316, 1903, 540, 14404, 15572, 1227, 13865, 1242, 12776, 923, 31174, 1137, 267, 4977, 5493, 2801, 665, 3916, 1738, 10850, 543, 32619, 6580, 269, 23634, 15530, 4149, 17505, 31712, 1696, 620, 269, 798, 711, 4794, 26476, 1176, 3095, 519, 645, 329, 1724, 31174, 720, 547, 519, 29457, 793, 659, 1014, 543, 3079, 1450, 519, 7389, 547, 27774, 519, 7664, 269, 1306, 513, 1267, 267, 741, 4661, 6763, 593, 1152, 835, 1850, 267, 1818, 621, 18633, 693, 1655, 563, 290, 677, 15530, 4149, 17505, 31712, 267, 631, 269, 1696, 620, 269, 14844, 269, 661, 3712, 269, 5345, 565, 269, 476, 274, 267, 476, 21709, 1700, 18891, 630, 1001, 280, 1916, 309, 9298, 570, 657, 4754, 334, 267, 700, 14371, 269, 4432, 19232, 565, 6403, 339, 4815, 2405, 1470, 1642, 17610, 4614, 25385, 320, 10722, 565, 586, 1656, 531, 1075, 17144, 31970, 269, 12854, 5098, 267, 10713, 21059, 1290, 680, 583, 1619, 632, 28925, 630, 2735, 279, 1916, 19226, 331, 904, 517, 267, 595, 269, 1696, 620, 269, 7186, 476, 4510, 274, 267, 476, 25616, 1700, 5952, 274, 630, 1220, 277, 1916, 313, 559, 327, 14244, 267, 808, 269, 1696, 620, 269, 4477, 12011, 517, 476, 274, 267, 552, 21916, 3374, 630, 1001, 278, 1916, 290, 677, 15530, 4149, 17505, 31712, 267, 631, 269, 4432, 19232, 565, 6403, 339, 4815, 2405, 1470, 586, 32493, 679, 1714, 30359, 6239, 632, 1656, 531, 1075, 17144, 630, 290, 6759, 6113, 20899, 586, 631, 5451, 331, 15676, 264, 630, 14737, 3563, 1470, 632, 4980, 3120, 267, 10555, 541, 17144, 4937, 570, 2946, 322, 333, 3821, 267, 476, 1220, 278, 1916, 290, 677, 15530, 4149, 17505, 31712, 267, 631, 269, 538, 595, 826, 9366, 645, 1690, 1180, 21034, 630, 307, 528, 8145, 565, 16394, 1040, 27116, 340, 16780, 807, 524, 1258, 32241, 586, 12779, 334, 3711, 1304, 531, 1642, 19923, 15715, 9222, 556, 2615, 324, 679 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 596, 267, 543, 1592, 8164, 596, 1185, 513, 27506, 5346, 563, 1432, 2238, 610, 1604, 596, 941, 602, 1880, 1554, 563, 2690, 1383, 267, 1832, 513, 2594, 540, 1018, 596, 17696, 267, 1018, 519, 4365, 729, 899, 267, 1018, 4552, 2472, 596, 1031, 267, 2436, 596, 941, 896, 1022, 2566, 267, 950, 729, 519, 2063, 942, 596, 18233, 610, 2511, 707, 4552, 563, 8245, 2952, 9319, 519, 12153, 568, 519, 7887, 543, 1034, 6225, 6197, 1689, 563, 4537, 2086, 5622, 543, 824, 4552, 2472, 454, 18455, 602, 546, 663, 745, 742, 568, 835, 540, 519, 1034, 1455, 2589, 540, 26253, 17729, 593, 21435, 267, 4550, 1673, 663, 745, 325, 31576, 30139, 616, 1390, 585, 2126, 563, 2080, 616, 930, 5820, 602, 596, 1058, 1413, 585, 563, 13425, 519, 6003, 540, 519, 31576, 5622, 585, 912, 268, 15021, 13545, 454, 268, 2098, 4532, 7510, 337, 603, 7748, 454, 268, 6428, 5390, 997, 3679, 454, 268, 17286, 22431, 30423, 454, 8196, 707, 546, 663, 745, 742, 31576, 5622, 1169, 824, 1554, 267, 543, 2141, 1246, 519, 8846, 540, 519, 6003, 563, 4002, 2395, 596, 18178, 546, 663, 745, 742, 31576, 5622, 267, 946, 707, 2834, 31576, 5622, 563, 30131, 4063, 281, 5755, 13545, 666, 18632, 14402, 4552, 4778, 267, 543, 1118, 707, 21435, 811, 6213, 547, 519, 3141, 563, 1103, 1034, 2665, 267, 1004, 2490, 547, 6527, 543, 936, 519, 4831, 5061, 607, 513, 2063, 18992, 563, 8196, 891, 6527, 1152, 950, 519, 2783, 814, 1166, 1563, 563, 2791, 798, 711, 1616, 547, 1205, 29279, 547, 6527, 267, 1100, 2339, 952, 621, 568, 585, 26253, 610, 1022, 824, 1966, 563, 2252, 707, 2783, 1281, 711, 4431, 1390, 547, 32104, 1212, 4461, 267, 513, 10629, 1522, 4363, 22521, 6527, 607, 1134, 563, 2252, 707, 26253, 3587, 7783, 267, 513, 10629, 786, 849, 21559, 606, 15084, 547, 1521, 519, 2783, 563, 2791, 666, 1491, 11216, 538, 1312, 9341, 543, 5711, 1106, 563, 1692, 547, 2061, 27506, 13522, 888, 763, 1655, 1259, 547, 4383, 26253, 17729, 593, 21435, 568, 547, 2061, 519, 12153, 602, 1118, 6927, 8338, 563, 2026, 5018, 5892, 267, 972, 616, 1978, 12153, 602, 2014, 27506, 13522, 267, 610, 7525, 29083, 540, 2589, 563, 2080, 616, 930, 4388, 875, 547, 2061, 891, 27506, 13522, 543, 1832, 707, 2783, 896, 1852, 912, 268, 3680, 4598, 547, 1022, 16143, 23480, 454, 268, 3680, 4598, 547, 16143, 8886, 1218, 454, 268, 11162, 707, 21435, 8499, 454, 268, 3680, 15018, 856, 707, 21435, 676, 1210, 1152, 513, 10116, 20695, 6564, 641, 540, 513, 9543, 31576, 5622, 454, 268, 11408, 946, 3636, 267, 855, 711, 3905, 1216, 585, 11067, 707, 21435, 454, 268, 4855, 513, 1259, 547, 1832, 519, 2566, 1377, 896, 1852, 454, 268, 1744, 2086, 5622, 707, 4552, 1310, 24852, 8185, 267, 581, 621, 513, 15904, 267, 610, 1175, 4598, 547, 3636, 4365, 454, 1103, 1034, 2665, 267, 26253, 593, 707, 21435, 20781, 547, 2126, 9797, 563, 4913, 267, 621, 666, 849, 2132, 563, 2005, 568, 1655, 602, 596, 5077, 609, 17172, 6048, 547, 1205, 513, 3586, 2126, 543, 6604, 1544, 563, 6701, 972, 1022, 2067, 14319, 888, 763, 1434, 3377, 568, 602, 952, 596, 899, 547, 3251, 2476, 689, 936, 519, 4831, 4915, 543, 5574, 267, 596, 666, 2141, 979, 585, 1945, 2067, 563, 4517, 9811, 267, 2067, 14319, 723, 513, 1279, 1686, 540, 4543, 1004, 609, 26253, 267, 1100, 2339, 1141, 621, 5526, 563, 12749, 673, 5574, 585, 26253, 1331, 912, 268, 1325, 4141, 2357, 320, 454, 268, 21281, 10326, 3282, 454, 268, 29106, 3282, 454, 13014, 2386, 547, 32561, 7401, 3529, 3282, 952, 596, 1616, 547, 946, 1283, 1227, 593, 707, 2960, 563, 763, 3282, 568, 2864, 14984, 267, 543, 666, 2014, 8781, 14815, 952, 711, 29809, 563, 2791, 666, 1491, 1919, 547, 519, 1985, 1377, 676, 8920, 5024, 621, 538, 15298, 3282, 899, 14462, 3282, 267, 543, 1205, 476, 273, 538, 476, 272, 3070, 563, 12234, 267, 596, 666, 2569, 2589, 540, 26253, 676, 10438, 3536, 543, 2921, 8192, 9360, 602, 1683, 2640, 563, 268, 12192, 589, 454, 268, 12192, 645, 454, 268, 12192, 667, 630, 16341, 1004, 723, 4080, 3141, 4598, 2337, 994, 268, 26102, 268, 274, 9761, 7408, 454, 27066, 1496, 1341, 9948, 0, 26045, 2657, 17607, 585, 5441, 26465, 923, 454, 7197, 1053, 3068, 513, 23487, 995, 547, 28273, 1592, 1765, 339, 3949, 267, 4574, 267, 1895, 3785, 543, 851, 6066, 6009, 269, 634, 1592, 8952, 3395, 267, 543, 593, 1283, 540, 519, 1592, 616, 519, 2123, 7569, 543, 21500, 602, 2097, 609, 4948, 1272, 563, 22923, 268, 987, 2280, 525, 4308, 609, 782, 540, 713, 538, 1840, 547, 513, 24526, 15904, 8430, 267, 2259, 543, 3014, 2395, 269, 898, 779, 2614, 547, 8267, 332, 4896, 543, 949, 1291, 547, 2790, 1072, 2152, 269, 1717, 267, 2875, 268, 987, 2280, 525, 3068, 7496, 602, 2061, 873, 689, 3478, 519, 948, 789, 991, 267, 12077, 711, 2348, 513, 5234, 4759, 4481, 8036, 547, 948, 873, 6330, 891, 5538, 17331, 2053, 563, 4517, 16699, 17713, 517, 267, 513, 10927, 2875, 538, 29960, 543, 9906, 16457, 267, 5129, 2852, 17281, 585, 2185, 1296, 543, 568, 1631, 606, 13930, 17281, 16455, 693, 9049, 9331, 269, 5890, 21505, 1200, 1702, 540, 2790, 10108, 998, 1200, 18375, 814, 8118, 1200, 4064, 547, 519, 9620, 2875, 268, 987, 2280, 525, 3068, 1169, 1554, 267, 971, 607, 4160, 543, 4965, 563, 295, 753, 517, 2813, 513, 2866, 8261, 2966, 585, 19393, 267, 18942, 30157, 543, 824, 18942, 8257, 10986, 269, 634, 8261, 2882, 1344, 593, 2790, 1072, 2152, 602, 1764, 2875, 268, 987, 2280, 525, 543, 519, 2589, 543, 5615, 789, 949, 8858, 267, 971, 607, 7050, 5855, 267, 9854, 610, 29338, 563, 763, 2866, 9727, 2994, 593, 875, 547, 3717, 609, 2875, 268, 987, 2280, 525, 827, 5275, 2790, 1072, 2533, 543, 2488, 2013, 1806, 543, 1909, 1404, 7653, 547, 948, 19393, 2259, 519, 1983, 6591, 998, 519, 2866, 563, 2108, 5475, 11264, 513, 2689, 540, 1699, 1382, 267, 594, 4941, 547, 798, 811, 547, 3895, 2790, 1072, 547, 1908, 326, 5573, 2875, 268, 987, 2280, 525, 2223, 1767, 17713, 517, 540, 2870, 519, 8261, 269, 968, 7437, 713, 1382, 267, 594, 993, 1732, 2111, 547, 1174, 519, 21500, 789, 1995, 543, 519, 7496, 789, 3068, 547, 5275, 2790, 1072, 2533, 3034, 31535, 1018, 2790, 1072, 2152, 2852, 9845, 3068, 267, 17713, 517, 568, 1732, 2111, 547, 2911, 547, 1200, 9845, 827, 891, 2152, 543, 1265, 873, 948, 950, 2877, 563, 2108, 7069, 6612, 585, 2790, 1072, 814, 4847, 803, 547, 2744, 513, 811, 2347, 4605, 540, 1908, 326, 5573, 7619, 923, 543, 519, 1909, 594, 1404, 607, 606, 13930, 16455, 2223, 17713, 517, 1767, 269, 0, 6826, 6409, 21831, 531, 10819, 6076, 18522, 538, 5507, 454, 1432, 616, 29007, 531, 10819, 538, 1453, 888, 14399, 609, 19884, 5262, 2159, 625, 6560, 547, 1246, 4079, 262, 8846, 543, 5528, 267, 543, 3622, 13789, 21354, 585, 1896, 3275, 610, 3476, 269, 1358, 1265, 2352, 547, 4383, 741, 3929, 6547, 547, 5007, 21500, 563, 29819, 540, 29007, 531, 10819, 538, 1453, 454, 13349, 4191, 602, 513, 1126, 949, 723, 24040, 7965, 1331, 519, 1739, 912, 268, 31418, 1176, 606, 13499, 267, 20714, 539, 610, 8886, 730, 563, 268, 14627, 550, 2191, 21915, 337, 4548, 563, 268, 21261, 894, 609, 4079, 563, 268, 4676, 4926, 547, 23491, 3652, 563, 268, 8899, 17140, 12939, 563, 21675, 585, 29007, 531, 10819, 538, 1453, 454, 763, 1034, 2500, 2126, 585, 1453, 609, 24040, 2042, 616, 15465, 29007, 531, 10657, 267, 7731, 10657, 543, 9977, 532, 8081, 563, 2690, 811, 1344, 827, 6158, 11257, 543, 2126, 15961, 2139, 693, 938, 7885, 923, 538, 5507, 267, 30912, 543, 7507, 5225, 3643, 938, 9615, 2985, 563, 5472, 938, 26935, 1235, 2709, 16723, 26935, 625, 585, 29007, 531, 10819, 538, 1453, 269, 8437, 1934, 547, 2743, 519, 12243, 269, 0, 347, 310, 1731, 12855, 12780, 814, 2923, 1644, 547, 717, 4150, 903, 630, 338, 1222, 1040, 2008, 1607, 7121, 814, 519, 1739, 476, 273, 23658, 20975, 267, 856, 540, 476, 273, 2698, 563, 347, 310, 1731, 12855, 12780, 814, 2923, 1644, 547, 717, 4150, 903, 630, 338, 1222, 1040, 2008, 1607, 7121, 814, 519, 1739, 476, 273, 23658, 20975, 267, 856, 540, 476, 273, 2698, 563, 272, 269, 8895, 2917, 1107, 589, 7523, 2917, 568, 513, 1826, 540, 6928, 602, 568, 4412, 8215, 5631, 676, 4737, 532, 269, 634, 7523, 2917, 568, 6353, 676, 922, 1279, 267, 28795, 26083, 267, 13719, 8908, 267, 12303, 782, 2010, 540, 575, 4150, 903, 1185, 521, 5661, 602, 1223, 581, 1031, 538, 15028, 12798, 267, 855, 1480, 4222, 729, 2141, 519, 3119, 1505, 540, 27668, 269, 901, 4847, 575, 4150, 903, 547, 6330, 10446, 540, 12798, 543, 14768, 267, 717, 4150, 903, 941, 519, 10617, 4721, 1031, 676, 519, 2038, 11335, 17189, 7060, 267, 1519, 519, 16380, 267, 21265, 5974, 543, 14564, 269, 1358, 7283, 519, 8789, 2010, 540, 8043, 1031, 585, 2112, 543, 533, 16820, 538, 519, 11335, 7256, 2394, 519, 2063, 5756, 540, 519, 476, 1626, 628, 2540, 543, 789, 941, 519, 1101, 9635, 547, 3927, 946, 5230, 28994, 976, 607, 4550, 1606, 1222, 9604, 269, 1306, 3810, 3608, 7784, 5867, 789, 7142, 2242, 538, 519, 1374, 540, 10120, 15798, 728, 6830, 19843, 607, 1134, 607, 27715, 540, 22892, 10617, 4721, 269, 634, 1990, 523, 603, 540, 7523, 2917, 6165, 538, 13137, 3357, 538, 519, 3735, 476, 1626, 628, 2540, 609, 12959, 899, 602, 693, 700, 788, 27053, 538, 476, 14991, 272, 267, 676, 519, 476, 1704, 628, 2540, 267, 2705, 267, 22892, 9635, 543, 10316, 9635, 899, 519, 1535, 324, 13069, 19774, 575, 4150, 903, 538, 17189, 13137, 269, 3245, 519, 4571, 268, 1626, 628, 2540, 575, 4150, 903, 941, 538, 26740, 946, 538, 519, 27397, 7256, 267, 609, 922, 2110, 9883, 267, 972, 729, 513, 5634, 25954, 540, 7523, 2917, 13137, 538, 519, 476, 1240, 628, 2540, 538, 519, 10617, 1063, 6576, 267, 13785, 543, 16862, 269, 634, 2165, 7523, 2917, 24283, 689, 519, 10120, 5259, 575, 1446, 320, 267, 513, 4528, 540, 519, 546, 668, 517, 269, 634, 5169, 540, 519, 5259, 2262, 568, 15458, 855, 1223, 7654, 581, 1644, 547, 575, 1446, 657, 267, 519, 2262, 7523, 2917, 814, 1044, 1140, 6479, 538, 2296, 689, 524, 269, 898, 729, 1152, 689, 519, 476, 1626, 628, 2540, 602, 513, 19618, 7523, 2917, 1523, 3357, 538, 946, 267, 1354, 602, 267, 3226, 538, 25196, 267, 972, 729, 513, 2647, 3099, 540, 2474, 1031, 585, 1114, 2010, 540, 575, 4150, 903, 269, 9147, 575, 4150, 903, 941, 3957, 2687, 547, 519, 1297, 540, 522, 1513, 267, 519, 1297, 540, 8492, 540, 522, 1513, 610, 3515, 540, 4737, 619, 267, 519, 2474, 616, 1759, 593, 4207, 1893, 946, 5916, 609, 811, 2487, 7135, 540, 5259, 543, 5824, 1913, 269, 634, 9998, 5259, 2582, 1532, 1678, 539, 575, 4150, 903, 616, 1572, 2468, 13154, 1562, 543, 20008, 324, 935, 1562, 267, 585, 2663, 575, 4150, 903, 609, 811, 982, 835, 4737, 540, 522, 1513, 267, 519, 16166, 568, 1759, 593, 5824, 27766, 609, 519, 21879, 910, 3153, 689, 678, 25207, 16443, 267, 522, 541, 269, 589, 1395, 648, 1889, 814, 835, 4871, 540, 522, 1513, 267, 513, 1079, 543, 513, 2468, 3153, 1614, 269, 4595, 519, 5021, 8492, 540, 522, 1513, 729, 1614, 267, 1022, 7269, 1657, 602, 1705, 711, 3277, 547, 3606, 8492, 540, 522, 1513, 267, 855, 540, 3606, 4737, 619, 585, 1169, 522, 541, 269, 2372, 22055, 699, 1889, 729, 12777, 513, 2947, 268, 23537, 267, 855, 2965, 5921, 602, 972, 941, 1896, 4737, 619, 547, 1978, 8492, 540, 522, 1513, 799, 1500, 909, 2947, 3515, 540, 522, 541, 1688, 6840, 267, 585, 16134, 267, 789, 723, 676, 1082, 2413, 5640, 1044, 5219, 547, 607, 535, 1161, 267, 3670, 525, 267, 552, 2074, 267, 6173, 839, 267, 3092, 269, 32506, 1657, 3670, 610, 5722, 9343, 540, 4737, 619, 729, 711, 1455, 267, 1022, 7523, 2917, 609, 811, 982, 1614, 610, 2185, 3515, 540, 4737, 619, 568, 1419, 5219, 547, 607, 513, 4874, 3153, 269, 744, 1563, 4108, 8043, 3710, 593, 519, 3703, 1772, 956, 538, 519, 476, 1556, 628, 547, 476, 1724, 628, 5553, 941, 1759, 593, 32090, 6272, 267, 1082, 540, 873, 941, 2147, 547, 2840, 4802, 985, 267, 2673, 14077, 540, 1279, 338, 1222, 2010, 899, 519, 14229, 330, 330, 10937, 269, 1635, 519, 476, 1691, 628, 2540, 267, 789, 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 ]
[ 540, 513, 29341, 18211, 7100, 563, 763, 23882, 18048, 267, 9380, 528, 267, 543, 8642, 7376, 533, 32631, 17552, 27591, 630, 6642, 272, 268, 3192, 274, 264, 729, 835, 540, 519, 1034, 605, 323, 16406, 543, 12316, 338, 5159, 538, 519, 1686, 540, 7262, 7206, 607, 519, 3844, 4137, 538, 3384, 7750, 1143, 267, 646, 3964, 519, 4493, 585, 7493, 1148, 533, 32631, 17552, 27591, 729, 4535, 533, 32631, 1025, 553, 1723, 593, 12354, 1547, 4595, 621, 779, 5137, 267, 1148, 814, 6157, 25577, 936, 513, 1279, 1974, 540, 942, 267, 4657, 711, 1152, 519, 1259, 1004, 1413, 693, 621, 267, 855, 849, 519, 2495, 3297, 627, 513, 24794, 1051, 540, 875, 533, 32631, 17552, 27591, 1547, 3281, 9426, 543, 1291, 539, 606, 4367, 543, 606, 2079, 540, 519, 1259, 17552, 27591, 4957, 519, 1259, 649, 1413, 693, 1148, 544, 6914, 814, 922, 606, 2079, 540, 519, 6249, 540, 2724, 538, 7819, 3332, 7139, 690, 1132, 610, 29908, 562, 1021, 748, 269, 1215, 666, 513, 2875, 4324, 689, 2348, 513, 1413, 693, 606, 2079, 1557, 10388, 4367, 5339, 2079, 1557, 2079, 267, 519, 1732, 707, 2079, 1557, 4586, 278, 875, 798, 596, 4612, 606, 11247, 1510, 2348, 547, 798, 1022, 2079, 610, 1382, 281, 3040, 1946, 1522, 621, 1413, 899, 602, 2161, 1919, 538, 707, 1378, 1259, 543, 649, 3580, 782, 1547, 769, 513, 1974, 6825, 676, 4028, 30031, 1646, 543, 12316, 1007, 2093, 267, 649, 1592, 476, 1015, 5159, 945, 1185, 519, 6574, 1764, 593, 476, 736, 628, 2540, 1148, 269, 623, 32631, 17552, 27591, 568, 4440, 519, 1034, 1271, 4137, 540, 476, 736, 628, 2540, 267, 538, 2474, 540, 1148, 267, 543, 1148, 5322, 602, 7018, 936, 713, 1974, 1354, 519, 2085, 540, 476, 2004, 267, 519, 1547, 20266, 27591, 543, 2909, 4302, 5249, 1927, 5702, 1282, 519, 1985, 1906, 1296, 630, 5002, 280, 1700, 1321, 28931, 1492, 1152, 942, 17552, 27591, 2479, 5249, 609, 1776, 18048, 538, 713, 1259, 11652, 789, 2919, 1018, 3357, 547, 581, 1634, 607, 10763, 7750, 1143, 2038, 7750, 626, 10367, 941, 1419, 29144, 676, 13915, 543, 13588, 1317, 789, 941, 2219, 547, 581, 8806, 12166, 1148, 563, 2171, 666, 2070, 621, 607, 519, 536, 32658, 540, 513, 3349, 267, 607, 621, 729, 1031, 538, 930, 22538, 15530, 267, 610, 607, 519, 7406, 540, 513, 6928, 779, 2823, 8559, 267, 799, 649, 666, 1413, 968, 10843, 2223, 547, 1294, 519, 3615, 6719, 519, 18052, 779, 21800, 8880, 543, 7299, 10066, 5932, 513, 1259, 585, 519, 21951, 630, 639, 264, 547, 1224, 519, 3239, 538, 1079, 2081, 1765, 331, 8504, 1524, 543, 3168, 998, 270, 659, 1484, 269, 1284, 1810, 1406, 1589, 540, 17552, 27591, 607, 513, 9380, 528, 267, 855, 649, 1058, 602, 17552, 27591, 779, 1148, 4991, 17145, 1512, 543, 811, 5214, 267, 607, 646, 6811, 513, 3677, 851, 540, 5128, 543, 3032, 777, 6699, 5128, 689, 7750, 1143, 11014, 1547, 901, 3992, 568, 827, 533, 32631, 17552, 27591, 781, 1148, 4062, 11331, 15234, 326, 20071, 1354, 513, 11604, 5257, 1934, 267, 649, 786, 1413, 693, 519, 2495, 543, 2511, 540, 519, 7750, 626, 563, 3080, 1259, 547, 2268, 17552, 27591, 779, 30493, 568, 602, 646, 779, 2760, 2484, 9944, 519, 2627, 540, 938, 7104, 2686, 9637, 649, 1148, 12206, 543, 13915, 1404, 513, 6442, 1399, 3014, 281, 8483, 1516, 3983, 1547, 1496, 15912, 281, 1148, 2079, 267, 533, 32631, 17552, 27591, 267, 1148, 1686, 316, 4957, 519, 1259, 649, 9228, 543, 14648, 519, 1158, 713, 1007, 2413, 5736, 267, 607, 621, 1131, 2663, 581, 1572, 267, 1185, 513, 1547, 5675, 606, 1148, 1686, 1557, 649, 666, 5660, 519, 4670, 538, 513, 4514, 1259, 267, 543, 602, 779, 1018, 2079, 568, 2731, 782, 827, 3040, 946, 519, 4367, 547, 2285, 513, 1547, 769, 713, 1259, 267, 632, 25985, 779, 2474, 9411, 883, 519, 13416, 540, 5717, 827, 1148, 538, 7005, 476, 1240, 899, 632, 25985, 779, 1062, 267, 887, 3455, 26650, 779, 1505, 540, 2079, 9397, 513, 960, 540, 1148, 883, 5057, 2694, 267, 855, 789, 616, 1114, 3283, 269, 1323, 2653, 1259, 547, 3314, 875, 547, 1935, 513, 1915, 2079, 568, 676, 1210, 519, 27099, 524, 573, 281, 10146, 267, 4612, 267, 543, 2721, 8753, 8223, 568, 11543, 513, 2596, 1620, 540, 1018, 596, 4586, 303, 545, 27591, 568, 513, 2101, 4137, 538, 1158, 1148, 267, 855, 782, 1932, 1419, 519, 17552, 27591, 2872, 4991, 538, 519, 1259, 540, 24534, 6268, 519, 6101, 2609, 540, 1010, 960, 723, 4607, 9645, 3007, 543, 2079, 267, 855, 2079, 540, 519, 1543, 267, 2523, 538, 1346, 1568, 1759, 593, 2021, 267, 568, 1419, 25229, 21747, 543, 6508, 689, 25619, 267, 21678, 5784, 540, 519, 1547, 4985, 533, 32631, 17552, 27591, 267, 998, 1148, 267, 4957, 519, 19511, 4030, 540, 513, 2898, 5108, 540, 1004, 1354, 519, 14206, 10601, 1148, 729, 10924, 547, 581, 513, 18643, 3079, 540, 17748, 7750, 1143, 729, 519, 3355, 2203, 602, 729, 6353, 538, 519, 14206, 2540, 602, 729, 10660, 1229, 676, 533, 32631, 17552, 27591, 543, 24636, 269, 4197, 7493, 1148, 3340, 606, 6427, 4369, 602, 20217, 596, 547, 3605, 585, 3054, 519, 2495, 3297, 519, 960, 621, 568, 711, 2653, 547, 9787, 267, 899, 1869, 12468, 267, 23609, 267, 610, 824, 1106, 540, 2099, 1049, 1148, 267, 1317, 621, 568, 1930, 547, 7664, 538, 513, 1259, 602, 2099, 1049, 1148, 568, 711, 269, 20266, 27591, 543, 21562, 281, 875, 19052, 1148, 6766, 538, 519, 15489, 540, 476, 5002, 277, 543, 519, 4367, 540, 519, 4062, 547, 17552, 27591, 646, 12349, 519, 19562, 710, 689, 900, 850, 30971, 10458, 267, 513, 4586, 2171, 1590, 1413, 585, 519, 23882, 3310, 538, 524, 2946, 345, 22828, 533, 32631, 17552, 27591, 267, 8350, 1629, 12251, 21304, 546, 262, 822, 793, 517, 267, 1148, 10404, 2868, 1633, 28422, 614, 11130, 602, 17552, 27591, 4957, 1686, 1547, 634, 4720, 540, 3308, 1148, 538, 519, 2413, 5736, 610, 713, 2147, 4994, 3842, 891, 31904, 547, 1413, 693, 1568, 676, 2856, 540, 1148, 519, 2470, 540, 1689, 538, 519, 5386, 6575, 4586, 288, 1259, 540, 3843, 547, 4194, 713, 1966, 729, 547, 1413, 3564, 519, 960, 3294, 267, 543, 1445, 593, 519, 1148, 1158, 281, 1148, 729, 602, 799, 519, 9872, 540, 1148, 1107, 5159, 267, 13915, 267, 1148, 12206, 267, 3092, 1107, 729, 5423, 547, 2543, 607, 1148, 267, 543, 799, 729, 1500, 1857, 998, 519, 9872, 267, 19838, 26847, 269, 4985, 1148, 2636, 721, 547, 1413, 693, 519, 1158, 689, 513, 1114, 543, 2189, 5133, 782, 540, 721, 4612, 11247, 8335, 621, 568, 513, 1390, 1259, 585, 1004, 547, 2769, 4606, 267, 2093, 267, 2035, 543, 19237, 267, 543, 585, 930, 267, 621, 2337, 721, 2769, 8726, 3112, 3274, 581, 3989, 676, 1913, 269, 769, 835, 1259, 610, 1776, 267, 1775, 2141, 6825, 1250, 5961, 1413, 693, 891, 25985, 267, 538, 513, 1906, 4374, 513, 5394, 4494, 540, 7452, 814, 4646, 17552, 27591, 281, 538, 4641, 267, 649, 917, 1360, 1547, 4985, 547, 15257, 2792, 4066, 899, 16389, 1689, 519, 1259, 649, 5968, 2565, 2079, 540, 519, 1259, 4008, 3604, 538, 1547, 0, 303, 847, 32337, 4574, 2123, 547, 6552, 14252, 538, 917, 1018, 4523, 950, 513, 5959, 9882, 2882, 28876, 910, 2436, 707, 1557, 1732, 1072, 538, 2673, 269, 13245, 2713, 3594, 7424, 2635, 1797, 4189, 1318, 543, 16706, 849, 1346, 945, 7985, 1072, 543, 9882, 1107, 1557, 6963, 281, 606, 1557, 2689, 6285, 269, 30719, 543, 19455, 616, 519, 2175, 543, 2853, 602, 948, 538, 4509, 1072, 543, 2061, 519, 3262, 540, 3676, 563, 10890, 543, 9882, 1557, 910, 5150, 2165, 1957, 1603, 543, 11049, 6351, 910, 6718, 5150, 1957, 10467, 609, 28774, 3318, 2875, 269, 6258, 811, 827, 5711, 9882, 1519, 2175, 899, 11702, 14779, 689, 3461, 1557, 593, 1072, 543, 9882, 28957, 4945, 1934, 269, 12745, 783, 8144, 540, 1072, 543, 9882, 1557, 538, 31448, 883, 31448, 1480, 16627, 609, 1806, 281, 561, 18649, 267, 32172, 18028, 357, 11695, 355, 21005, 7162, 362, 17775, 23517, 7162, 357, 18028, 361, 23517, 2633, 356, 267, 554, 753, 1557, 538, 31448, 269, 2657, 568, 513, 2318, 1533, 540, 1134, 1373, 267, 1141, 1169, 851, 540, 519, 1560, 543, 649, 786, 2328, 513, 2688, 1557, 3732, 593, 1022, 1888, 4481, 585, 596, 563, 24342, 476, 278, 910, 476, 1626, 540, 476, 276, 4375, 1822, 876, 2362, 1072, 11067, 2023, 5249, 538, 1557, 9499, 543, 512, 7056, 1554, 8386, 6377, 267, 519, 13766, 540, 3617, 9882, 543, 4824, 269, 17718, 781, 1072, 543, 9882, 5816, 9363, 2635, 568, 1271, 585, 835, 547, 2661, 513, 6126, 267, 2566, 6954, 543, 4829, 995, 1272, 513, 1268, 568, 2808, 2635, 952, 789, 616, 2111, 547, 269, 2657, 543, 9882, 538, 24349, 7532, 607, 807, 281, 4507, 543, 1435, 331, 923, 538, 519, 1279, 538, 1557, 676, 27095, 5324, 476, 2764, 267, 476, 1001, 278, 1072, 543, 9882, 1557, 538, 31448, 267, 32172, 18028, 480, 2633, 355, 21005, 7162, 362, 17775, 23517, 269, 2657, 4016, 547, 513, 1533, 540, 3280, 2247, 543, 9308, 3514, 1560, 1863, 689, 1022, 4524, 267, 19210, 610, 17966, 618, 9882, 4016, 547, 519, 1434, 2853, 563, 26596, 2787, 568, 519, 31978, 545, 1797, 540, 5009, 1072, 998, 6604, 540, 1480, 3346, 609, 519, 10898, 540, 3653, 538, 1857, 1072, 2474, 267, 519, 269, 5131, 1557, 281, 4367, 1072, 568, 513, 2318, 1533, 540, 1134, 1373, 267, 1141, 1169, 851, 540, 519, 1560, 543, 2247, 568, 538, 10103, 543, 538, 1697, 8647, 269, 901, 1557, 568, 835, 540, 513, 3126, 593, 1216, 543, 7881, 3370, 896, 519, 6710, 267, 19455, 543, 1072, 543, 519, 2487, 8942, 693, 954, 32744, 1377, 547, 269, 1403, 3536, 616, 711, 2973, 543, 2922, 1072, 10898, 899, 15677, 267, 7181, 1928, 267, 649, 786, 2328, 513, 2688, 1557, 3732, 593, 1426, 9882, 4481, 585, 596, 585, 1152, 269, 1635, 1620, 875, 5563, 3262, 1282, 1395, 810, 976, 596, 666, 948, 1832, 707, 1920, 2635, 1934, 616, 930, 4128, 1946, 972, 568, 606, 2333, 538, 5563, 4586, 24730, 1750, 344, 928, 267, 606, 1557, 540, 1072, 543, 1279, 1272, 272, 20786, 543, 519, 1875, 268, 562, 4405, 1023, 2146, 9882, 2853, 602, 948, 547, 2061, 519, 3262, 540, 3655, 1815, 531, 1700, 5711, 269, 5620, 1053, 946, 741, 19455, 543, 1480, 1072, 2875, 1965, 18694, 547, 979, 547, 2875, 2328, 606, 1557, 5885, 519, 3948, 602, 4824, 19455, 814, 269, 6744, 856, 938, 2956, 540, 27194, 538, 2146, 2713, 1557, 950, 519, 1004, 538, 2146, 11441, 547, 2087, 19455, 267, 1082, 1072, 2042, 616, 563, 13625, 593, 2956, 540, 1072, 543, 9882, 538, 938, 1272, 1072, 4016, 547, 513, 1533, 2168, 6228, 621, 18575, 513, 3280, 2247, 543, 513, 9308, 3514, 269, 11762, 281, 1072, 267, 11067, 267, 9882, 3817, 281, 476, 272, 630, 25628, 1913, 264, 3370, 281, 694, 4697, 476, 278, 267, 476, 1001, 274, 519, 2956, 540, 27194, 27194, 538, 1434, 1072, 1557, 269, 4828, 593, 2956, 540, 1072, 543, 9882, 538, 938, 1272, 2110, 543, 1279, 5037, 585, 1362, 476, 272, 267, 273, 267, 274, 267, 275, 4633, 1299, 2376, 593, 1072, 543, 9882, 269, 769, 1072, 543, 4731, 599, 15401, 1557, 9882, 3594, 267, 9433, 543, 4930, 593, 23891, 4231, 476, 2420, 267, 476, 1001, 275, 676, 642, 1731, 1662, 2619, 752, 1923, 9297, 6780, 948, 3896, 909, 547, 269, 0, 305, 18432, 4763, 538, 8087, 2829, 3506, 568, 519, 6041, 540, 1114, 7292, 610, 6803, 2516, 693, 519, 942, 267, 1857, 3506, 941, 22885, 540, 607, 513, 1747, 547, 1451, 875, 547, 581, 606, 7819, 18793, 540, 476, 1626, 24203, 476, 1001, 273, 12326, 9706, 32123, 21623, 270, 14835, 270, 6507, 277, 279, 7914, 909, 9745, 11876, 698, 267, 13171, 2088, 1608, 604, 1153, 1547, 769, 1840, 267, 7292, 270, 30710, 14778, 540, 1053, 538, 1857, 3506, 723, 1044, 13346, 2707, 281, 721, 8257, 540, 2069, 267, 3084, 4099, 585, 2069, 540, 7292, 270, 30710, 2516, 19801, 538, 1857, 10026, 543, 6281, 3506, 562, 806, 8579, 4441, 9263, 2689, 1184, 1196, 1239, 11891, 10480, 28135, 269, 4014, 930, 7855, 949, 1745, 602, 1317, 540, 519, 4763, 540, 938, 4872, 267, 9238, 540, 5885, 12242, 1893, 6267, 281, 606, 4367, 585, 7855, 540, 7005, 1893, 6267, 538, 13314, 781, 1390, 2749, 3506, 281, 22097, 11783, 15788, 1297, 543, 8167, 540, 12102, 3610, 538, 519, 1857, 3506, 267, 1346, 12374, 723, 1044, 606, 7650, 540, 1699, 12102, 4116, 19684, 1533, 4507, 543, 7292, 270, 30710 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1912, 984, 5362, 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, 8893, 281, 18181, 609, 8866, 281, 10435, 2725, 1023, 7981, 998, 19809, 543, 1773, 908, 692, 7072, 912, 5970, 596, 2479, 1044, 6039, 513, 7594, 602, 6743, 865, 4190, 596, 4769, 1405, 1616, 547, 1491, 707, 1101, 11116, 286, 2107, 6148, 596, 723, 1500, 1945, 3054, 602, 596, 941, 10583, 547, 1397, 1055, 1354, 20857, 538, 269, 634, 1259, 649, 6582, 543, 4159, 938, 1426, 666, 7494, 1860, 875, 1454, 649, 2972, 4189, 621, 269, 901, 568, 1572, 726, 908, 267, 543, 621, 781, 606, 1271, 851, 540, 5986, 256, 4653, 267, 649, 786, 1451, 782, 827, 6881, 543, 726, 908, 267, 543, 1256, 2119, 856, 930, 1187, 2553, 6000, 780, 4089, 476, 272, 281, 4197, 19809, 543, 1773, 908, 454, 303, 19948, 4016, 547, 875, 10694, 543, 11617, 13267, 513, 8670, 5654, 269, 1879, 1426, 568, 4843, 23182, 267, 621, 2306, 721, 811, 9599, 547, 3548, 621, 543, 666, 1256, 3986, 938, 18226, 1995, 269, 1773, 908, 568, 519, 1184, 540, 25786, 519, 1426, 593, 519, 6676, 538, 513, 24886, 6073, 269, 4258, 12028, 946, 1114, 2409, 543, 2994, 547, 1711, 3750, 2275, 10248, 10824, 780, 7078, 281, 5994, 1079, 32409, 9361, 1985, 547, 1142, 824, 910, 835, 568, 1793, 31463, 1176, 2322, 1927, 609, 5820, 9991, 856, 267, 1247, 519, 824, 568, 28426, 11231, 609, 10477, 5388, 890, 22701, 856, 543, 513, 838, 3419, 540, 16163, 2917, 593, 1283, 269, 6904, 26889, 1131, 596, 2864, 3548, 286, 4107, 2693, 267, 519, 2034, 835, 256, 2334, 781, 1317, 922, 5920, 2306, 621, 1413, 811, 12608, 1944, 780, 12244, 281, 6733, 693, 5961, 540, 8286, 2228, 610, 538, 3434, 9248, 269, 10576, 799, 3283, 6952, 707, 3007, 543, 1865, 1946, 789, 1796, 856, 269, 3657, 972, 1978, 4778, 267, 5546, 267, 610, 12417, 602, 2721, 596, 538, 286, 9523, 707, 7422, 609, 707, 15032, 780, 4089, 476, 273, 281, 9978, 14362, 540, 1773, 908, 454, 2691, 726, 908, 267, 22730, 1246, 1896, 2596, 3741, 547, 2327, 741, 13144, 616, 11617, 13267, 269, 1452, 3741, 1331, 3666, 267, 4334, 267, 4463, 267, 2230, 267, 543, 2681, 269, 2913, 781, 2263, 891, 2035, 2417, 780, 265, 18696, 281, 589, 7059, 6676, 1797, 2348, 3160, 3308, 2597, 593, 1312, 5011, 540, 519, 1292, 5057, 269, 1280, 1383, 267, 952, 596, 4196, 18437, 609, 5779, 27750, 267, 1747, 873, 6587, 1142, 824, 3079, 540, 533, 4979, 3388, 538, 519, 4099, 563, 265, 25037, 281, 26157, 1114, 18282, 630, 8243, 26743, 5288, 269, 11315, 1070, 10366, 630, 15680, 1399, 5288, 269, 6653, 1070, 610, 5210, 630, 14653, 5288, 269, 4411, 264, 8591, 1719, 547, 513, 8670, 269, 1323, 1383, 1223, 581, 7674, 5743, 6853, 15837, 12311, 2471, 7258, 513, 27598, 16702, 563, 265, 27551, 281, 17006, 7299, 2609, 3947, 3178, 543, 10155, 547, 513, 6676, 269, 29571, 3334, 899, 30000, 14274, 610, 4494, 12897, 585, 513, 811, 10565, 1198, 563, 265, 6611, 281, 2274, 3058, 8900, 5624, 2636, 519, 4064, 547, 1964, 1063, 17486, 543, 11151, 519, 6676, 689, 3168, 1932, 804, 18636, 1229, 269, 2142, 13533, 950, 11093, 3688, 543, 1810, 1405, 15624, 873, 1927, 563, 265, 7822, 281, 966, 2320, 656, 24698, 4482, 519, 3750, 267, 1818, 513, 8670, 1413, 811, 1303, 6005, 269, 2422, 4195, 5613, 543, 5388, 267, 27156, 267, 543, 21959, 8460, 547, 1039, 1402, 338, 540, 2681, 780, 12244, 281, 6657, 7311, 891, 3741, 1210, 2241, 3536, 971, 607, 11523, 619, 267, 10381, 267, 4829, 21100, 267, 610, 12897, 269, 28081, 519, 3688, 593, 513, 6676, 543, 2307, 513, 3659, 610, 1920, 4759, 585, 5955, 269, 1215, 1705, 4946, 3666, 267, 4334, 267, 4463, 267, 2230, 267, 543, 2681, 2087, 519, 2949, 5920, 540, 519, 8670, 2496, 4089, 476, 274, 281, 11822, 9828, 585, 25947, 19809, 454, 3086, 602, 649, 1174, 519, 9238, 1577, 781, 4685, 883, 930, 2653, 2081, 547, 21592, 938, 1378, 8286, 269, 3371, 616, 513, 1906, 2241, 2553, 547, 948, 1118, 6980, 811, 11617, 13267, 780, 265, 717, 7568, 880, 281, 5440, 4771, 513, 8670, 609, 513, 1507, 2179, 540, 16560, 3693, 8591, 8137, 543, 1166, 1515, 269, 6333, 1210, 22872, 11922, 267, 20521, 1990, 652, 267, 17580, 5810, 267, 610, 2898, 14546, 899, 5182, 606, 1047, 610, 24036, 16853, 563, 265, 28397, 576, 281, 4210, 26325, 610, 5671, 3960, 1782, 14036, 1472, 519, 8728, 5932, 3350, 543, 14405, 519, 3750, 4724, 519, 1292, 12146, 269, 17968, 267, 22635, 532, 15956, 540, 14036, 5196, 519, 6676, 2488, 28377, 540, 3773, 7509, 543, 6492, 563, 265, 25609, 1299, 590, 3278, 281, 28981, 5820, 883, 1585, 5546, 543, 7306, 8591, 3099, 543, 26675, 269, 15331, 609, 5969, 17436, 883, 6094, 6474, 560, 6506, 267, 24263, 5283, 517, 11084, 267, 610, 2870, 6978, 11057, 12475, 8759, 13365, 563, 265, 3798, 3101, 281, 4635, 519, 6316, 540, 519, 6676, 607, 513, 7406, 2337, 5581, 519, 6302, 540, 519, 8670, 269, 9255, 3677, 13980, 2282, 519, 26079, 543, 4734, 1930, 2230, 2509, 519, 4099, 563, 265, 20233, 1359, 281, 8490, 2789, 6106, 1369, 513, 12826, 610, 2620, 6676, 3091, 9403, 543, 9983, 269, 8347, 2482, 1359, 25235, 609, 9274, 267, 19787, 267, 5946, 267, 543, 10571, 902, 780, 6962, 912, 303, 6974, 532, 543, 726, 908, 938, 1426, 3085, 1405, 1175, 1118, 621, 1413, 7168, 282, 621, 849, 10597, 938, 2949, 18226, 1995, 269, 1635, 1620, 2596, 3741, 543, 19234, 609, 1007, 2553, 267, 649, 666, 2490, 8723, 6980, 883, 9058, 10525, 269, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2108, 14188, 1411, 6435, 902, 27535, 19750, 9669, 585, 519, 7305, 454, 8722, 25733, 2871, 652, 281, 667, 1014, 928, 16019, 454, 2467, 616, 513, 2603, 540, 3584, 602, 649, 607, 31908, 2911, 827, 16634, 543, 930, 3584, 2097, 909, 538, 6643, 20231, 269, 5508, 269, 5990, 269, 29376, 292, 269, 2290, 540, 1346, 3584, 568, 29332, 7495, 2507, 907, 663, 519, 4674, 621, 3217, 547, 1205, 938, 3214, 547, 3548, 513, 2635, 543, 1134, 7059, 2732, 269, 1284, 2911, 827, 621, 20231, 269, 5508, 269, 5990, 269, 29376, 292, 267, 1317, 649, 4308, 609, 621, 20231, 269, 5508, 269, 5990, 269, 29376, 292, 563, 763, 3018, 540, 21175, 568, 519, 3501, 4316, 547, 4001, 938, 3214, 875, 547, 581, 9684, 995, 16634, 5976, 1426, 2336, 7712, 713, 568, 513, 3018, 2407, 540, 1426, 543, 1920, 267, 649, 1522, 607, 1134, 2744, 930, 5813, 689, 2576, 945, 814, 2907, 16309, 538, 713, 3460, 269, 9373, 2507, 3240, 3158, 256, 20821, 667, 1014, 928, 16019, 563, 291, 1014, 928, 6659, 2185, 20766, 267, 568, 968, 301, 3570, 892, 547, 5722, 6264, 18244, 6502, 12964, 543, 896, 543, 814, 5249, 609, 1453, 607, 513, 15321, 543, 4116, 269, 8625, 609, 1250, 19033, 267, 667, 1014, 928, 814, 5249, 609, 6107, 267, 543, 6497, 1819, 1762, 4079, 543, 3885, 585, 936, 17288, 1296, 563, 1103, 824, 1913, 267, 594, 2219, 621, 1131, 1390, 547, 2671, 835, 540, 1200, 4388, 689, 1200, 476, 2412, 1296, 522, 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, 18181, 609, 8866, 1315, 19809, 543, 1773, 908, 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, 8702, 547, 938, 3992, 827, 2870, 27291, 585, 4213, 256, 5620, 596, 2479, 8068, 875, 1169, 3811, 2754, 814, 922, 1378, 2189, 20446, 286, 589, 1134, 27059, 20446, 666, 948, 1004, 3314, 513, 1870, 267, 1796, 856, 689, 15712, 267, 543, 6655, 1271, 1344, 827, 1018, 789, 798, 269, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 606, 2228, 1907, 1572, 654, 1460, 8298, 334, 631, 6033, 602, 2337, 596, 3362, 1711, 513, 3318, 23302, 20446, 585, 707, 1360, 1378, 2754, 267, 3896, 267, 610, 1788, 780, 5331, 602, 596, 1616, 547, 1376, 513, 1507, 1870, 9513, 29586, 25231, 7410, 693, 1153, 269, 1411, 786, 991, 513, 6952, 344, 2012, 899, 834, 289, 1737, 9579, 1782, 4858, 576, 7410, 257, 543, 513, 3579, 20446, 547, 979, 609, 621, 269, 901, 568, 1141, 654, 1460, 8298, 334, 631, 6033, 2501, 538, 13561, 256, 2913, 781, 2263, 922, 15813, 2640, 1927, 1384, 272, 269, 14168, 3562, 268, 8196, 28497, 281, 4634, 952, 596, 1810, 1405, 723, 1995, 8888, 1919, 593, 513, 2780, 267, 654, 1460, 8298, 334, 631, 6033, 3091, 513, 2241, 1259, 547, 1628, 707, 20446, 269, 4706, 3593, 7888, 1374, 1797, 4896, 1765, 2958, 14177, 540, 2085, 610, 7499, 1983, 1765, 4754, 3533, 4739, 513, 1390, 3168, 20446, 269, 3143, 811, 10010, 609, 7294, 3301, 256, 3807, 1448, 267, 4945, 267, 543, 12575, 2394, 596, 1205, 1945, 596, 2648, 780, 273, 269, 1133, 15905, 11426, 1436, 18169, 281, 1879, 596, 1101, 1930, 654, 1460, 8298, 334, 631, 6033, 267, 596, 3513, 1294, 6266, 540, 1114, 6272, 1759, 593, 519, 1826, 540, 1870, 596, 3442, 269, 3245, 972, 267, 596, 666, 1689, 1175, 827, 3388, 256, 5410, 707, 5172, 4778, 267, 4584, 31042, 23935, 267, 543, 2824, 6698, 602, 2099, 707, 1870, 1655, 269, 2060, 865, 1082, 5079, 2139, 267, 1100, 1079, 27291, 2813, 676, 654, 1460, 8298, 334, 631, 6033, 786, 1413, 4010, 7567, 780, 274, 269, 14464, 11106, 5303, 281, 2290, 540, 519, 1034, 5863, 2694, 540, 654, 1460, 8298, 334, 631, 6033, 3322, 2027, 6620, 602, 2303, 6272, 4481, 1500, 585, 596, 256, 1635, 16460, 2055, 827, 707, 7375, 543, 10503, 707, 1870, 267, 891, 5100, 1949, 2709, 10372, 3358, 547, 6474, 707, 5075, 269, 2353, 596, 723, 547, 798, 568, 2689, 873, 543, 17408, 752, 4376, 2556, 547, 3514, 707, 2115, 9985, 780, 3086, 4952, 2348, 707, 1360, 1378, 834, 289, 1737, 9579, 1782, 4858, 576, 7410, 257, 20446, 26124, 29116, 593, 782, 707, 30572, 2326, 269, 1215, 9599, 1131, 1761, 5561, 1745, 6616, 789, 1223, 3972, 513, 6325, 543, 3860, 1007, 1870, 899, 16523, 286, 12861, 513, 20446, 3085, 1405, 723, 547, 581, 2352, 282, 7064, 547, 2645, 899, 654, 1460, 8298, 334, 631, 6033, 267, 3025, 666, 3142, 741, 5326, 1870, 547, 1272, 269, 1924, 1946, 7227, 286, 3399, 3695, 2221, 267, 543, 4166, 2614, 267, 596, 1932, 786, 2972, 6029, 1055, 707, 9735, 1007, 20446, 10876, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 16032, 10025, 256, 654, 1460, 17352, 1290, 680, 11989, 269, 7454, 4757, 6725, 267, 3896, 32063, 267, 13941, 2985, 1299, 1187, 6773, 32063, 269, 7454, 8749, 543, 6749, 3896, 9375, 2336, 1432, 616, 519, 5383, 543, 5383, 540, 519, 713, 530, 1460, 20446, 20536, 888, 310, 1460, 8298, 334, 631, 6033, 606, 2228, 1907, 689, 654, 1460, 799, 13071, 3755, 1118, 3318, 267, 2688, 14184, 27291, 585, 741, 3549, 267, 7270, 267, 610, 2123, 3785, 269, 654, 1460, 8039, 20286, 269, 3371, 616, 930, 540, 519, 5383, 543, 2934, 540, 1210, 654, 1460, 8298, 334, 631, 6033, 912, 272, 269, 14871, 7888, 281, 654, 1460, 8298, 334, 631, 6033, 2488, 606, 2653, 3562, 14025, 8818, 602, 2306, 621, 2653, 585, 4896, 267, 1256, 1346, 1510, 1022, 1374, 6791, 267, 547, 1711, 513, 20446, 269, 654, 1460, 8039, 20286, 269, 898, 779, 16022, 543, 3551, 563, 273, 269, 8298, 334, 11426, 1436, 281, 634, 1907, 3091, 513, 2647, 2039, 540, 3681, 585, 29356, 547, 1118, 513, 10058, 20446, 269, 7994, 689, 513, 2647, 5542, 540, 14167, 24069, 971, 607, 23935, 267, 4778, 543, 1374, 2609, 547, 9148, 707, 6216, 779, 3961, 543, 2511, 563, 274, 269, 3642 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11059, 5678, 630, 3201, 264, 568, 513, 3532, 1907, 1369, 519, 1133, 1881, 21290, 5678, 630, 308, 7876, 264, 5943, 602, 6087, 9367, 543, 2203, 619, 547, 14574, 519, 2623, 540, 1949, 811, 10502, 543, 796, 3711, 580, 28204, 269, 1635, 3246, 513, 6101, 16105, 543, 5033, 24939, 585, 11589, 1950, 4205, 1063, 3615, 267, 9338, 10597, 2792, 1851, 2319, 2818, 543, 16881, 12747, 3009, 5108, 267, 7551, 5355, 2949, 3301, 1646, 4398, 543, 2298, 269, 769, 713, 3184, 267, 649, 5490, 883, 519, 14960, 540, 11059, 5678, 267, 3695, 922, 1883, 2934, 267, 2640, 267, 543, 3156, 1247, 8220, 621, 609, 4207, 7384, 3466, 543, 1483, 8996, 7653, 780, 2162, 634, 10020, 540, 11059, 5678, 538, 772, 7876, 692, 6524, 11362, 883, 519, 25727, 540, 11059, 5678, 267, 1577, 721, 1101, 1174, 875, 621, 13352, 883, 519, 6626, 2796, 540, 772, 7876, 269, 1306, 513, 21370, 9781, 1893, 267, 772, 7876, 3091, 1585, 6516, 2010, 27137, 607, 1362, 267, 5311, 267, 1533, 3684, 267, 2534, 267, 5057, 267, 543, 17293, 12222, 23121, 2099, 1114, 3344, 540, 513, 3301, 1062, 11617, 269, 2755, 891, 12222, 1683, 606, 16022, 1797, 540, 23187, 1164, 7400, 1374, 2093, 267, 789, 1419, 3668, 6190, 8856, 547, 4766, 1970, 7400, 5615, 796, 25406, 665, 958, 269, 5047, 267, 8261, 8144, 540, 772, 7876, 3631, 883, 5752, 4654, 12857, 1761, 6959, 543, 29927, 780, 1607, 568, 1141, 11059, 5678, 2501, 883, 1404, 269, 2920, 532, 607, 513, 8115, 1063, 3308, 3631, 543, 4291, 17014, 3009, 267, 9338, 2636, 9367, 547, 5581, 3527, 543, 4238, 1210, 513, 13801, 2943, 11826, 10035, 1759, 593, 2067, 1893, 21437, 269, 9182, 267, 9338, 2337, 2569, 13509, 538, 2203, 7664, 267, 20928, 5698, 1851, 8639, 267, 543, 25117, 519, 7503, 540, 6272, 883, 4890, 30582, 780, 2162, 6206, 17972, 540, 11059, 5678, 692, 4263, 922, 4295, 267, 11059, 5678, 5161, 540, 1896, 4909, 2609, 602, 960, 1927, 547, 1106, 17396, 7215, 10503, 1843, 5615, 1384, 2971, 25159, 692, 24868, 1963, 4196, 607, 1747, 6868, 585, 13936, 543, 22392, 1239, 1369, 606, 2962, 269, 1358, 666, 2099, 2901, 2199, 2418, 610, 8100, 547, 1843, 8320, 269, 1280, 3236, 267, 2015, 519, 1739, 4756, 17083, 912, 3499, 329, 6072, 454, 18204, 518, 4831, 28701, 476, 271, 3248, 31094, 1268, 27270, 3248, 8199, 2080, 267, 2387, 322, 3300, 319, 568, 513, 2199, 8870, 4756, 3355, 1242, 547, 4642, 267, 6466, 2387, 17367, 27270, 319, 568, 513, 4704, 4756, 15738, 547, 606, 1843, 540, 1826, 2387, 31094, 27471, 2971, 25285, 692, 22091, 11306, 616, 1031, 547, 12337, 1007, 2418, 676, 9256, 4632, 267, 2148, 1023, 267, 12427, 267, 3252, 267, 543, 1505, 1045, 23148, 269, 1280, 1383, 912, 3499, 2675, 1087, 454, 322, 3300, 1341, 476, 272, 12262, 1520, 1091, 835, 547, 519, 1871, 540, 1412, 322, 3300, 7055, 17367, 27270, 10947, 11243, 3890, 12262, 12833, 10280, 519, 1412, 1326, 11243, 3890, 262, 1505, 593, 519, 26518, 12287, 1843, 454, 276, 2608, 8700, 1341, 4463, 12262, 6726, 919, 606, 1858, 2016, 8700, 543, 4463, 2418, 454, 8199, 3528, 8108, 1134, 20452, 7215, 267, 9367, 666, 1711, 10427, 6620, 5827, 540, 13830, 1950, 1870, 3652, 543, 7954, 780, 2971, 32276, 692, 13750, 906, 13822, 519, 2679, 7161, 540, 9338, 267, 8204, 1367, 3268, 13401, 18615, 569, 1282, 1982, 11056, 269, 2368, 1455, 3948, 2010, 1331, 10467, 267, 2783, 1023, 267, 17787, 267, 543, 9868, 7829, 269, 1284, 9414, 741, 6165, 2630, 1384, 265, 12143, 281, 2387, 720, 28701, 476, 1789, 32547, 1107, 25849, 338, 519, 1871, 2387, 1789, 319, 547, 519, 4756, 2387, 720, 319, 563, 265, 16448, 531, 912, 3499, 341, 321, 6339, 454, 604, 630, 339, 17687, 3436, 476, 1911, 264, 1287, 454, 825, 3590, 269, 719, 31428, 15238, 2891, 293, 1197, 9571, 256, 8442, 3248, 754, 3248, 8199, 10267, 4242, 2436, 519, 2837, 20489, 2387, 1911, 12452, 8228, 513, 9963, 5048, 952, 3020, 780, 265, 31230, 912, 3499, 322, 1087, 454, 6112, 630, 256, 323, 821, 264, 8520, 454, 825, 1184, 9202, 2005, 655, 3890, 3248, 825, 2944, 815, 2638, 4467, 921, 5406, 30812, 819, 3890, 3248, 754, 3248, 8199, 3725, 701, 730, 569, 7125, 2387, 15263, 9202, 2005, 655, 13237, 2394, 519, 2387, 13765, 4467, 921, 5406, 30812, 819, 13237, 7024, 3020, 780, 265, 1401, 4003, 30047, 912, 3499, 7090, 454, 339, 787, 13634, 825, 7941, 3528, 313, 3266, 3890, 3248, 348, 6952, 630, 6635, 10379, 2750, 4003, 552, 264, 13634, 825, 6023, 13286, 16216, 11850, 348, 6368, 13634, 825, 2973, 10000, 4910, 1545, 3890, 3248, 8679, 8199, 16920, 3319, 338, 547, 14892, 2387, 15965, 728, 3528, 313, 3266, 3890, 12452, 20414, 1022, 4611, 2387, 6635, 10379, 2750, 4003, 319, 543, 10912, 2387, 8518, 548, 13286, 13237, 269, 17859, 540, 17756, 267, 2387, 30236, 10000, 4910, 1545, 13237, 4991, 1045, 12097, 2390, 12032, 780, 2971, 589, 2388, 692, 288, 2388, 20206, 3634, 811, 14969, 12985, 4559, 21214, 2789, 6898, 269, 15380, 6964, 1369, 2534, 12222, 610, 5106, 8847, 267, 3527, 948, 2497, 1804, 8397, 8928, 540, 1852, 543, 5539, 2066, 3309, 3334, 269, 1323, 32055, 2962, 1522, 4125, 4393, 6075, 9753, 267, 21130, 11891, 2157, 267, 610, 10451, 2883, 5359, 780, 2162, 10241, 543, 7351, 12367, 692, 288, 794, 5678, 814, 6591, 20086, 538, 2487, 1296, 1813, 547, 922, 2702, 547, 6536, 1732, 5698, 1851, 3444, 1922, 23341, 6887, 267, 2087, 3301, 2226, 1464, 267, 543, 17108, 3498, 6765, 269, 16930, 946, 2665, 12732, 1585, 11890, 971, 607, 1384, 272, 269, 2878, 26329, 5937, 337, 1508, 7177, 4995, 30855, 9338, 7258, 772, 7876, 2488, 513, 4396, 5748, 585, 7598, 2203, 12454, 4702, 4485, 267, 7175, 13128, 3009, 10282, 543, 6024, 5610, 27983, 563, 273, 269, 2878, 19968, 6713, 28290, 4995, 22034, 9338, 2861, 711, 725, 899, 645, 15014, 301, 630, 19968, 6713, 7844, 543, 3502, 566, 264, 29776, 519, 20487, 543, 11056, 540, 1950, 32262, 5473, 1480, 6304, 267, 3375, 1818, 267, 543, 2680, 5464, 563, 274, 269, 2878, 25542, 540, 12085, 630, 31166, 264, 1262, 2433, 2060, 14164, 3457, 7139, 11717, 908, 6385, 267, 9338, 4249, 513, 2629, 1909, 538, 10747, 11251, 6109, 2264, 5615, 7561, 543, 9846, 2066, 26945, 5867, 563, 275, 269, 2878, 25369, 11106, 630, 9590, 264, 1299, 10724, 4804, 630, 7876, 264, 4995, 1306, 3642, 270, 7876, 2553, 15449, 622, 2413, 3301, 25121, 267, 9338, 5713, 607, 513, 3407, 10697, 585, 8888, 13261, 267, 1582, 19543, 1949, 1510, 27531, 11413, 543, 4612, 1464, 780, 1103, 3932, 267, 11059, 5678, 4564, 606, 1898, 12146, 538, 2221, 781, 3301, 1646, 5251, 267, 16779, 9439, 547, 1628, 7347, 267, 27249, 267, 543, 2226, 762, 3435, 16135, 538, 2312, 267, 796, 3711, 27631, 7493, 687, 269, 19361, 640, 609, 9338, 3741, 28382, 1053, 609, 2565, 1983, 2556, 585, 14762, 538, 14182, 781, 2029, 12454, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2414, 5512, 513, 1880, 1224, 2843, 354, 13077, 9261, 20413, 26281, 543, 3168, 2208, 540, 519, 7311, 5061, 547, 581, 851, 10340, 269, 1677, 7520, 513, 1699, 5955, 543, 8600, 1148, 525, 684, 622, 540, 519, 11543, 2798, 547, 581, 1062, 1286, 827, 519, 11120, 10949, 269, 22108, 3849, 5055, 589, 267, 2098, 26147, 1224, 2843, 354, 13077, 9261, 20413, 26281, 267, 590, 12874, 773, 808, 6441, 263, 476, 1001, 272, 264, 589, 1979, 17190, 540, 2962, 585, 717, 291, 7704, 4863, 2209, 269, 476, 6507, 24340, 11386, 10104, 13070, 637, 589, 267, 632, 966, 7517, 324, 717, 297, 267, 23394, 7714, 21614, 263, 476, 1220, 275, 264, 589, 28478, 8124, 540, 1079, 2053, 281, 4266, 30271, 540, 717, 7704, 22410, 538, 1079, 8062, 563, 20580, 5099, 540, 1224, 2843, 354, 13077, 9261, 2197, 269, 1053, 540, 7262, 1591, 269, 645, 2752, 305, 2177, 24202, 11581, 24102, 3201, 590, 2207, 22494, 267, 5442, 290, 269, 9338, 307, 310, 2969, 2207, 267, 4888, 2793, 289, 5085, 4041, 5254, 11246, 11286, 269, 942, 2976, 2209, 281, 20722, 21552, 547, 918, 20482, 563, 24591, 519, 1224, 2843, 354, 13077, 9261, 20413, 26281, 2484, 547, 1020, 707, 7198, 543, 3968, 269, 5985, 4441, 786, 6318, 5701, 547, 596, 269, 1403, 596, 616, 3379, 707, 1032, 616, 711, 4755, 721, 543, 649, 786, 2015, 707, 13366, 269, 1717, 31685, 3328, 543, 2333, 693, 519, 8470, 950, 596, 1451, 269, 15865, 538, 1224, 2843, 354, 13077, 9261, 689, 1631, 1079, 5638, 267, 3312, 547, 4324, 269, 901, 1062, 666, 2995, 23064, 689, 519, 9696, 533, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 288, 794, 5678, 630, 3201, 17983, 607, 851, 540, 834, 28035, 1315, 19932, 1315, 772, 7876, 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, 1103, 713, 1770, 267, 649, 786, 2263, 513, 4241, 1523, 538, 519, 2361, 540, 3684, 1565, 543, 5841, 4987, 1572, 519, 9941, 10946, 1599, 269, 634, 9941, 10946, 1599, 568, 513, 2629, 851, 540, 1082, 3684, 1565, 6620, 267, 2523, 1346, 1031, 585, 8760, 4247, 269, 898, 2337, 721, 547, 4612, 519, 3977, 540, 513, 8849, 3060, 607, 17831, 267, 799, 666, 1287, 581, 1031, 547, 1118, 11236, 780, 4131, 781, 1376, 676, 1620, 1018, 519, 9941, 10946, 1599, 1281, 269, 5994, 596, 723, 513, 1592, 540, 2338, 267, 543, 596, 1616, 547, 2490, 873, 883, 17831, 269, 11525, 3809, 723, 1079, 1271, 3601, 281, 789, 616, 2141, 1063, 476, 271, 543, 476, 272, 267, 543, 789, 2141, 1039, 909, 547, 476, 272, 269, 634, 9941, 10946, 1599, 3217, 513, 1592, 540, 2338, 543, 21810, 621, 883, 513, 1592, 540, 17831, 602, 25389, 891, 1079, 3601, 780, 763, 6310, 4542, 585, 519, 9941, 10946, 1599, 568, 1384, 16465, 20728, 346, 25413, 10946, 12917, 343, 10983, 264, 815, 1422, 2765, 346, 324, 3867, 343, 10983, 24828, 8999, 3709, 329, 284, 272, 8703, 333, 348, 552, 3867, 343, 19553, 3686, 454, 9681, 3602, 1269, 343, 10983, 259, 568, 519, 1269, 328, 27572, 628, 1297, 538, 519, 1592, 267, 1269, 324, 259, 568, 25586, 781, 1297, 630, 32191, 3160, 547, 476, 273, 269, 278, 1240, 2764, 1070, 543, 1269, 333, 259, 568, 519, 2698, 1297, 540, 2609, 538, 519, 1592, 780, 3086, 267, 1577, 781, 1294, 875, 649, 666, 2936, 713, 1599, 538, 5124, 1210, 519, 17877, 5399, 269, 17877, 568, 513, 3532, 5399, 585, 10230, 26398, 538, 5124, 269, 1403, 596, 10093, 1405, 8704, 621, 2943, 267, 596, 666, 798, 865, 676, 4881, 2387, 256, 26921, 3888, 11885, 319, 538, 513, 808, 1575, 344, 614, 21641, 610, 2387, 26921, 3888, 11885, 319, 538, 707, 12363, 780, 2080, 781, 513, 2241, 6388, 540, 519, 9941, 10946, 1599, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 3698, 2571, 10946, 3287, 2187, 825, 1163, 13448, 815, 5286, 269, 10339, 3287, 994, 825, 2040, 318, 10339, 13448, 815, 5286, 27904, 263, 10339, 13448, 994, 825, 2132, 1163, 13448, 1315, 2040, 318, 10339, 13448, 454, 7884, 1607, 1599, 3217, 513, 17877, 5044, 2387, 343, 319, 607, 3403, 267, 1939, 525, 519, 12825, 540, 1142, 3693, 1210, 2387, 12639, 269, 10339, 3287, 264, 12452, 1939, 525, 519, 2040, 540, 891, 12825, 338, 1210, 2387, 12639, 27904, 263, 10339, 13448, 264, 12452, 543, 1287, 7024, 519, 5223, 540, 1142, 12825, 547, 519, 2040, 540, 782, 12825, 338, 780, 4913, 267, 713, 6388, 666, 3006, 1291, 547, 10230, 16132, 267, 2523, 950, 519, 3403, 2338, 616, 1360, 1804, 610, 1360, 1507, 269, 1677, 2057, 713, 267, 649, 666, 10208, 519, 5021, 3403, 1297, 689, 782, 3403, 2338, 1354, 7311, 519, 9941, 10946, 1599, 269, 901, 568, 1572, 519, 834, 10946, 8945, 257, 543, 621, 3085, 1405, 1689, 519, 1267, 540, 519, 9941, 10946, 1599, 1317, 621, 10593, 782, 3403, 2338, 676, 519, 1482, 2179, 780, 2080, 781, 606, 4824, 6388, 540, 519, 9941, 10946, 1599, 602, 3096, 519, 834, 10946, 8945, 257, 1384, 3499, 7090, 454, 3698, 2571, 10946, 3287, 2187, 825, 3193, 13448, 815, 5286, 27982, 3287, 994, 825, 1163, 13448, 815 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25476, 547, 6542, 602, 789, 666, 1291, 513, 1876, 268, 629, 4575, 1272, 267, 3976, 4227, 741, 8458, 540, 973, 573, 13659, 563, 1103, 14967, 267, 2625, 566, 619, 1590, 23491, 1978, 2175, 971, 607, 2834, 8989, 547, 513, 2625, 566, 11464, 267, 1201, 20995, 689, 7803, 2238, 267, 8066, 1524, 513, 2816, 267, 11264, 1022, 5480, 268, 23912, 4845, 4170, 899, 2146, 3028, 610, 6219, 6057, 3292, 267, 543, 17712, 8724, 689, 5061, 543, 4568, 269, 11525, 566, 619, 945, 29875, 891, 2175, 949, 3068, 24476, 971, 607, 2847, 6327, 540, 2625, 566, 610, 2799, 5464, 676, 741, 2625, 566, 11464, 563, 13270, 8016, 779, 11525, 566, 10406, 1568, 5702, 609, 2199, 1876, 11268, 8041, 543, 824, 2146, 4891, 547, 2327, 602, 2625, 566, 619, 616, 4371, 18177, 585, 741, 3527, 1247, 849, 3246, 873, 609, 519, 2200, 789, 991, 547, 8011, 2390, 5305, 269, 901, 2882, 3246, 1569, 547, 2790, 1072, 2533, 267, 2816, 2866, 3292, 267, 3872, 3255, 543, 824, 1489, 2533, 563, 23536, 566, 568, 513, 5480, 268, 23912, 1974, 540, 2146, 15569, 602, 2636, 606, 1055, 2658, 547, 2611, 538, 519, 2146, 896, 1978, 2175, 1305, 676, 519, 5480, 269, 898, 949, 581, 13684, 607, 606, 4244, 547, 23948, 566, 610, 538, 9114, 340, 540, 26646, 1310, 24235, 269, 769, 14967, 267, 25046, 585, 2625, 566, 5673, 593, 519, 2470, 543, 3978, 1145, 540, 519, 25213, 543, 519, 1055, 2658, 779, 7803, 1686, 563, 1103, 2489, 267, 25476, 945, 723, 8149, 811, 3978, 1055, 5151, 616, 711, 14718, 585, 2625, 566, 267, 1247, 1346, 609, 5634, 1055, 5151, 949, 581, 2808, 269, 5510, 11367, 609, 1991, 31710, 949, 849, 581, 538, 601, 580, 1043, 267, 4470, 593, 519, 1297, 543, 10335, 540, 741, 3105, 1055, 5151, 269, 3958, 267, 1978, 2010, 540, 1055, 5151, 267, 971, 607, 3023, 10963, 610, 10795, 10963, 267, 949, 581, 16934, 689, 7156, 585, 2625, 566, 1813, 547, 741, 18205, 2470, 563, 27407, 267, 621, 568, 909, 547, 519, 9794, 1095, 4575, 936, 513, 2013, 547, 3313, 2436, 610, 711, 606, 1367, 568, 14718, 585, 2625, 566, 538, 14967, 269, 11790, 971, 607, 7803, 1686, 543, 10335, 540, 25213, 786, 581, 3144, 883, 2272, 950, 1818, 713, 8990, 269, 634, 9794, 1590, 2015, 782, 2139, 2963, 1354, 14045, 2436, 610, 711, 547, 9886, 2625, 566, 547, 606, 1055, 2658, 563, 23536, 566, 568, 513, 1106, 540, 7803, 2366, 9760, 602, 2636, 606, 1055, 2658, 547, 2611, 538, 519, 2146, 3079, 540, 7674, 942, 538, 21569, 610, 7890, 269, 1306, 851, 540, 519, 2625, 566, 1184, 267, 2043, 616, 2838, 547, 15666, 547, 1978, 3652, 543, 2175, 269, 769, 14967, 267, 891, 3652, 543, 2175, 786, 4268, 1759, 593, 519, 16278, 29307, 873, 269, 13575, 6340, 267, 789, 949, 1331, 9993, 971, 607, 17712, 8724, 689, 28302, 6878, 267, 8989, 5781, 609, 513, 2625, 566, 11464, 267, 1739, 1225, 325, 31974, 267, 9319, 3346, 609, 1991, 27498, 610, 9601, 267, 543, 26446, 547, 4351, 3075, 4152, 563, 1103, 1840, 547, 891, 3044, 3652, 543, 2175, 267, 972, 949, 581, 824, 2474, 13684, 676, 2199, 10470, 602, 1590, 581, 740, 22363, 547, 269, 901, 1223, 1331, 10283, 538, 13508, 610, 14317, 3292, 282, 18460, 3075, 2126, 282, 11504, 10845, 2359, 5049, 282, 13844, 2744, 995, 7694, 282, 1073, 324, 3539, 782, 4031, 282, 4509, 15335, 693, 513, 9138, 2232, 282, 543, 9878, 1964, 3191, 267, 22717, 610, 5480, 3790, 269, 5015, 267, 952, 519, 2625, 566, 518, 568, 1336, 547, 723, 26991, 1022, 540, 891, 3652, 610, 2175, 267, 3606, 20507, 949, 581, 13684, 971, 607, 2847, 12097, 2625, 566, 4567, 610, 21569, 942, 563, 2005, 568, 1271, 585, 2043, 593, 2625, 566, 538, 14967, 547, 1174, 741, 2924, 543, 13800, 896, 519, 2474, 540, 741, 4845, 865, 602, 789, 666, 6707, 2347, 741, 1974, 540, 15569, 269, 1403, 2043, 616, 2111, 547, 16783, 609, 782, 4170, 1305, 8521, 676, 741, 2625, 566, 11464, 543, 5924, 5480, 1931, 267, 1287, 789, 1796, 513, 1434, 4960, 540, 2348, 741, 4845, 6192, 1510, 2417, 3656, 6304, 563, 23536, 566, 568, 513, 1106, 540, 7803, 5126, 15569, 543, 2366, 9760, 267, 799, 2636, 606, 1055, 2658, 547, 2611, 538, 519, 2146, 2864, 982, 4196, 21569, 942, 269, 634, 3652, 543, 2175, 585, 2625, 566, 616, 2966, 547, 2327, 519, 1055, 2658, 568, 11222, 4106, 730, 267, 607, 1134, 607, 14014, 519, 3106, 540, 519, 1857, 269, 15329, 566, 540, 891, 3652, 666, 1267, 538, 4049, 4539, 585, 606, 1055, 2658, 563, 763, 4539, 585, 3423, 908, 2625, 566, 4268, 4470, 593, 519, 18670, 267, 855, 949, 1331, 3606, 22717, 610, 12375, 267, 6905, 2625, 566, 5712, 267, 610, 1256, 23948, 566, 269, 769, 14967, 267, 952, 606, 1055, 2658, 14543, 547, 16783, 609, 1022, 5480, 268, 23912, 2625, 566, 2474, 543, 2175, 789, 786, 3068, 513, 2847, 6327, 6217, 1141, 741, 2625, 566, 949, 581, 2847, 12097, 269, 1403, 2847, 6327, 568, 5227, 676, 519, 9794, 693, 713, 6217, 267, 1287, 513, 1007, 4845, 949, 581, 13684, 1519, 2009, 21569, 610, 7890, 942, 563, 763, 10335, 540, 10751, 585, 3423, 908, 2625, 566, 568, 1419, 5462, 676, 1312, 24395, 908, 543, 19086, 2188, 971, 607, 3105, 7803, 1686, 543, 1377, 540, 9316, 3254, 676, 519, 1055, 2658, 1282, 741, 2165, 540, 2625, 566, 269, 769, 1931, 547, 2057, 2348, 741, 2625, 566, 2847, 12097, 267, 25476, 1058, 11441, 547, 15666, 5702, 547, 782, 2474, 543, 2175, 1305, 8521, 676, 519, 5480, 269, 23299, 547, 798, 865, 1223, 1291, 547, 3978, 4539, 1519, 23948, 566, 610, 1256, 2417, 7803, 10997, 563, 13640, 1961, 568, 513, 1106, 540, 24892, 5305, 689, 7890, 267, 2139, 547, 2043, 945, 723, 1044, 26722, 540, 513, 6760, 269, 769, 14967, 267, 1612, 1961, 568, 13950, 676, 519, 8274, 540, 3474, 1961, 543, 5403, 268, 3725, 3161, 8111, 9679, 267, 799, 568, 3743, 585, 8159, 606, 1367, 779, 25046, 585, 1612, 1961, 543, 585, 5464, 741, 942, 593, 1612, 1961, 269, 634, 4604, 5036, 2175, 585, 1612, 1961, 602, 1590, 581, 1558, 538, 1931, 585, 519, 1367, 547, 2611, 593, 1612, 1961, 282, 952, 891, 2175, 616, 711, 1558, 267, 519, 1367, 949, 581, 8120, 547, 7890, 563, 763, 7355, 1031, 676, 519, 8274, 540, 3474, 1961, 543, 5403, 268, 3725, 3161, 8111, 9679, 538, 14045, 2436, 610, 711, 547, 9886, 1612, 1961, 4096, 593, 519, 1808, 6381, 540, 1142, 2013, 269, 11790, 2808, 1331, 519, 2470, 543, 10335, 540, 519, 25213, 267, 7803, 1686, 267, 12250, 2623, 1247, 23948, 730, 267, 543, 14317, 3646, 3144, 1247, 538, 7890, 269, 1403, 11292, 1612, 1961, 267, 2043, 616, 4397, 547, 1246, 1978, 3652, 543, 6042, 1247, 789, 616, 593, 15569, 269, 1452, 3652, 949, 1331, 17712, 8724, 689, 4568, 610, 5061, 267, 11504, 13508, 7886, 610, 824, 2126, 3292, 607, 2838, 267, 13844, 7694, 610, 2502, 538, 930, 824, 1106, 540, 11327, 2534, 971, 607, 24749, 610, 2921, 5049, 267, 543, 1201, 20995, 689, 1022, 10363, 2238, 563, 29309, 13945, 1876, 3340, 602, 1346, 593, 1612, 1961, 6542, 1434, 2623, 1282, 741, 1974, 540, 15569, 282, 5821, 547, 798, 865, 666, 1267, 538, 2847, 6327, 540, 741, 1612, 1961, 4567, 543, 2132, 547, 7890, 269, 634, 8274, 849, 814, 6392, 936, 606, 1367, 779, 1569, 547, 7694, 3255, 1282, 741, 1974, 540, 15569, 282, 9993, 949, 4019, 1759, 593, 519, 1826, 540, 25213, 8149, 269, 3958, 267, 2043, 593, 2625, 566, 949, 991, 10479, 689, 741, 27459, 2358, 11464, 1354, 789, 666, 4734, 14967, 282, 713, 568, 5497, 547, 2327, 602, 789, 2611, 896, 15569, 693, 782, 2053, 1282, 713, 1974, 563, 1103, 519, 1533, 540, 14967, 267, 1346, 26722, 540, 513, 6760, 949, 581, 14718, 585, 1612, 1961, 269, 3474, 1961, 568, 11292, 1759, 593, 1896, 2188, 267, 971, 607, 519, 10335, 540, 519, 25213, 267, 15494, 531, 2623, 1247, 538, 7890, 267, 543, 1761, 1981, 547, 2486, 2390, 5305, 269, 4432, 580, 2225, 4170, 585, 1612, 1961, 1287, 4096, 593, 891, 9270, 563, 2691, 12570, 25046, 585, 1612, 1961, 267, 519, 14967, 4972, 540, 4856, 516, 2388, 15109, 519, 26956, 779, 7803, 1686, 267, 1519, 1022, 1991, 31710, 610, 30095, 1102, 10330, 269, 634, 6708, 540, 2800, 3361, 676, 519, 6760, 8149, 543, 922, 1764, 593, 9601, 849, 2501, 883, 7156, 269, 5047, 267, 519, 8257, 8039, 606, 1367, 779, 2773, 1247, 538, 7890, 282, 713, 2882, 2188, 899, 7589, 538, 14317, 3292, 543, 15984, 547, 12250, 3652, 563, 7661, 267, 1354, 26587, 1612, 1961, 267, 28303, 8387, 1590, 6218, 2436, 606, 1367, 13514, 513, 1981, 547, 1857, 3106, 952, 5950, 689, 7890, 269, 1677, 1118, 713, 8990, 267, 789, 946, 513, 3099, 540, 10526, 602, 22942, 1981, 2188, 1644, 547, 973, 573, 13659, 269, 11086, 267, 8387, 1590, 6430, 952, 16089, 606, 538, 22940, 1131, 4324, 1857, 3106, 543, 3565, 547, 741, 3811, 556, 15759, 1674, 883, 2486, 563, 13640, 1961, 3652, 543, 2175, 538, 14967, 616, 2966, 547, 948, 2043, 593, 2625, 566, 610, 1612, 1961, 547, 556, 15759, 3433, 883, 2486, 6707, 269, 1452, 2175, 666, 4268, 4470, 593, 519, 1367, 779, 6381, 267, 855, 3622, 6340, 789, 4125, 9993, 593, 2623, 267, 971, 607, 1201, 20995, 689, 3346, 609, 1978, 1004, 610, 4025, 267, 3075, 4152, 267, 543, 11504, 13508, 7886, 269, 3958, 267, 2043, 949, 581, 2838, 547, 2347, 2146, 3028, 3108, 543, 2628, 1022, 14222, 22717, 610, 1964, 3191, 563, 2005, 568, 1271, 585, 2043, 593, 2625, 566, 610, 1612, 1961, 547, 16783, 609, 782, 540, 741, 1808, 2175, 538, 1931, 547, 2057, 1761, 4539, 899, 2847, 12097, 1612, 1961, 610, 513, 2132, 547, 7890, 269, 898, 568, 849, 1271, 585, 1346, 945, 723, 1044, 5950, 689, 7890, 547, 1174, 602, 1612, 1961, 15569, 568, 711, 22543, 9548, 282, 950, 606, 1367, 814, 6192, 741, 4845, 543, 24009, 782, 540, 741, 2175, 267, 789, 786, 1100, 3476, 581, 896, 519, 16278, 540, 519, 5480, 610, 1022, 1533, 8128, 563, 763, 3804, 540, 1612, 1961, 543, 2625, 566, 538, 14967, 568, 6038, 585, 2043, 547, 1831, 11327, 2818, 540, 2486, 676, 9319, 2417, 7803, 2534, 543, 705, 4575, 676, 519, 4031, 540, 519, 1533, 269, 15706, 945, 11886, 891, 3853, 616, 811, 2693, 547, 3035, 3811, 4093, 1310, 5305, 543, 1291, 3811, 2729, 563, 763, 4539, 540, 3423, 908, 1612, 1961, 616, 3978, 543, 666, 1331, 556, 574, 1440, 2581, 618, 267, 22717, 267, 543, 519, 2530, 540, 22864, 269, 3474, 1961, 19374, 3335, 2049, 950, 606, 1367, 14543, 547, 16783, 609, 519, 2175, 540, 741, 5305, 689, 7890, 269, 13689, 593, 519, 10335, 540, 519, 18670, 267, 513, 1612, 1961, 11464, 949, 3390, 513, 9963, 610, 1491, 824, 30095, 2962, 971, 607, 2847, 3183, 519, 1367, 779, 1612, 1961, 563, 2691, 606, 1367, 3423, 919, 1612, 1961, 267, 789, 949, 581, 2838, 547, 2408, 1354, 513, 1612, 1961, 4604, 1141, 789, 786, 3068, 606, 11889, 6217, 269, 2311, 713, 6217, 267, 2963, 786, 581, 4843, 538, 1931, 547, 3313, 2436, 610, 711, 519, 18670, 7018, 543, 1018, 4539, 1058, 581, 13684, 269, 1403, 513, 18670, 568, 1336, 547, 723, 7018, 267, 1022, 835, 540, 1896, 19439, 906, 1223, 2049, 1519, 23948, 566, 585, 909, 547, 476, 3445, 2395, 538, 1840, 547, 1022, 6967, 4845, 942, 282, 22717, 282, 1964, 3191, 282, 610, 3606, 15569, 676, 513, 2625, 566, 11464, 563, 1103, 930, 2665, 267, 2043, 945, 29875, 741, 1612, 1961, 949, 723, 741, 5220, 6905, 3564, 1018, 729, 8385, 10288, 269, 3958, 267, 789, 949, 723, 9993, 5116, 593, 741, 5191, 971, 607, 1100, 3346, 9753, 609, 1978, 1004, 610, 2951, 9993, 602, 3970, 1141, 606, 1367, 666, 979, 3544, 540, 960, 610, 1153, 3108, 269, 5047, 267, 2043, 593, 1612, 1961, 616, 3335, 1641, 547, 7928, 3075, 543, 4568, 4255, 607, 1134, 607, 19707, 676, 1876, 11268, 10492, 1510, 5469, 543, 1510, 21483, 2014, 269, 15329, 725, 540, 891, 2474, 666, 1267, 538, 2799, 15569, 676, 2625, 566, 10492, 607, 1134, 607, 22717, 610, 23948, 566, 269, 769, 3665, 2665, 1141, 2789, 19374, 2049, 267, 621, 568, 2009, 585, 606, 1367, 779, 4845, 547, 581, 2799, 3648, 610, 585, 873, 547, 581, 556, 2987, 8364, 1356, 730, 585, 519, 14230, 540, 741, 4845, 952, 621, 814, 711, 2907, 1044, 6039, 538, 2407, 563, 23536, 566, 543, 1612, 1961, 10492, 616, 3743, 585, 519, 15569, 540, 25476, 538, 519, 2146, 269, 1452, 4648 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2565, 3594, 593, 5215, 540, 5339, 1568, 547, 1265, 2200, 585, 1153, 3785, 543, 4574, 4622, 1059, 676, 13275, 12335, 3877, 910, 513, 12092, 593, 519, 2278, 737, 15811, 1273, 3205, 737, 15811, 1273, 3205, 3877, 513, 13354, 1557, 540, 11972, 2648, 543, 1702, 540, 23109, 5920, 5288, 4641, 538, 4622, 563, 7343, 30970, 8957, 4641, 568, 676, 782, 1797, 513, 9645, 6249, 538, 4622, 1059, 543, 568, 711, 1152, 3254, 998, 519, 3197, 1036, 534, 267, 16891, 518, 559, 267, 543, 1196, 24792, 267, 855, 568, 849, 3254, 998, 737, 550, 267, 1196, 3258, 543, 4622, 1059, 5128, 269, 634, 26760, 538, 4622, 1059, 13275, 12335, 781, 1404, 4622, 1059, 568, 513, 1404, 2407, 540, 13587, 527, 267, 20729, 531, 543, 2495, 1652, 14767, 713, 3587, 10423, 538, 519, 1101, 1906, 3515, 269, 910, 5920, 5288, 4641, 538, 13275, 12335, 781, 18296, 538, 18296, 267, 835, 540, 12335, 781, 6574, 32333, 267, 972, 568, 513, 17888, 6249, 602, 568, 21276, 2429, 519, 1404, 2429, 519, 1404, 267, 782, 519, 3197, 2408, 547, 581, 835, 3364, 593, 519, 3544, 267, 2943, 593, 519, 3330, 789, 616, 4625, 1114, 269, 634, 5812, 6249, 2429, 519, 1404, 568, 5920, 8957, 4641, 1082, 3871, 2408, 547, 581, 8521, 2431, 543, 9237, 267, 855, 538, 4641, 789, 616, 13587, 527, 995, 543, 31081, 652, 1135, 517, 3780, 267, 887, 11420, 322, 7949, 345, 267, 1368, 843, 523, 560, 1716, 543, 4622, 804, 7596, 3780, 782, 2408, 547, 581, 25442, 543, 22973, 855, 519, 4641, 568, 789, 616, 782, 9409, 269, 18712, 543, 21903, 538, 12335, 781, 18296, 910, 4641, 267, 5920, 543, 26760, 476, 279, 4037, 1913, 1923, 476, 275, 3817, 4641, 543, 21903, 538, 18296, 12335, 779, 1404, 267, 18296, 267, 5956, 609, 519, 5920, 540, 513, 15293, 267, 606, 15457, 819, 267, 7654, 513, 26390, 1588, 563, 3725, 1275, 543, 21903, 538, 12335, 781, 18296, 910, 5920, 8957, 4641, 476, 13040, 279, 1913, 1923, 476, 276, 3817, 5920, 8957, 4641, 538, 18296, 12335, 781, 1404, 267, 18296, 267, 568, 513, 9661, 540, 513, 1762, 19036, 945, 1590, 23754, 519, 5168, 3823, 1010, 4651, 781, 2669, 269, 2561, 30970, 8957, 4641, 568, 835, 540, 519, 2101, 4798, 538, 4622, 1059, 9916, 713, 6249, 538, 6935, 547, 12335, 781, 946, 540, 519, 24320, 1047, 543, 11052, 267, 543, 1010, 18572, 540, 1312, 1434, 543, 9409, 3197, 538, 519, 1404, 269, 24778, 20782, 5526, 547, 581, 519, 581, 13154, 540, 22632, 543, 14017, 538, 4622, 682, 776, 537, 723, 1917, 582, 803, 267, 26870, 803, 267, 6068, 803, 1775, 2132, 1346, 11645, 1394, 607, 616, 1318, 3514, 281, 23491, 596, 267, 2648, 596, 267, 543, 1034, 8956, 596, 267, 1352, 3081, 547, 1059, 320, 27640, 1170, 2065, 267, 2531, 710, 1359, 4622, 1059, 16858, 547, 1152, 581, 11303, 676, 9811, 2173, 523, 543, 27422, 519, 11815, 2305, 540, 7477, 656, 1166, 19495, 1657, 17608, 543, 5168, 995, 4606, 563, 301, 5920, 8686, 338, 3146, 1275, 2987, 268, 6362, 268, 3598, 268, 22967, 5920, 5288, 2143, 972, 568, 538, 4622, 1059, 543, 3594, 2854, 7084, 267, 6881, 540, 2140, 281, 4622, 1059, 910, 1379, 540, 741, 3237, 3732, 1018, 568, 513, 9921, 1353, 2055, 4622, 1059, 972, 568, 519, 10206, 602, 621, 4564, 476, 7277, 476, 31275, 3594, 593, 4622, 1059, 4798, 2165, 1957, 267, 543, 9880, 476, 1001, 276, 269, 1715, 3594, 593, 519, 10917, 652, 543, 519, 1000, 27097, 3781, 771, 25068, 281, 1775, 1705, 711, 2328, 891, 3594, 849, 267, 1775, 1131, 899, 547, 7618, 596, 602, 17096, 568, 10363, 269, 2561, 30970, 5288, 4641, 538, 13275, 12335, 781, 18296, 1557, 1806, 910, 5920, 5288, 4641, 538, 13275, 12335, 781, 18296, 538, 18296, 267, 835, 540, 12335, 781, 6574, 32333, 267, 972, 568, 513, 17888, 6249, 602, 568, 21276, 2429, 519, 1404, 269, 634, 2856, 540, 5920, 8957, 4641, 568, 2938, 538, 4948, 1272, 1519, 3347, 267, 4984, 267, 543, 1153, 2090, 519, 1523, 2306, 803, 1745, 21933, 643, 1190, 547, 519, 1158, 543, 782, 519, 1702, 621, 3568, 563, 2171, 786, 2328, 513, 2688, 1557, 3732, 593, 1434, 5288, 9409, 538, 4622, 1059, 4481, 585, 596, 585, 1152, 1269, 14321, 279, 1269, 16928, 270, 2457, 1931, 1631, 538, 1840, 267, 1196, 3258, 3947, 1010, 4651, 4222, 676, 9494, 1010, 1272, 1818, 1864, 3494, 513, 25976, 814, 10710, 1864, 689, 17259, 1055, 513, 29384, 269, 12989, 568, 606, 1557, 593, 519, 4300, 732, 1338, 8957, 4641, 6249, 593, 4622, 1059, 689, 4550, 3594, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 519, 5920, 4641, 6249, 538, 4622, 1059, 3771, 28625, 20004, 269, 0, 268, 606, 2079, 540, 29122, 795, 328, 1606, 784, 737, 340, 781, 3366, 320, 538, 29122, 795, 328, 1606, 784, 737, 340, 781, 2110, 1650, 3366, 320, 267, 519, 1292, 1915, 267, 22408, 514, 267, 5012, 513, 1272, 540, 32649, 646, 10039, 5128, 547, 1010, 10927, 2090, 538, 13354, 3332, 513, 2370, 1932, 11593, 281, 646, 19776, 711, 1175, 1257, 547, 1257, 646, 849, 19776, 1010, 1272, 547, 1257, 267, 547, 1568, 540, 3332, 630, 342, 784, 476, 27005, 269, 15618, 538, 476, 4198, 275, 267, 1178, 5069, 3039, 324, 779, 2110, 1650, 968, 1492, 3186, 1192, 832, 892, 6212, 593, 513, 14228, 540, 14038, 945, 6430, 547, 6861, 606, 2025, 812, 779, 1753, 269, 5811, 968, 5459, 5500, 779, 21462, 892, 568, 1305, 538, 3771, 12661, 267, 513, 13840, 19052, 7819, 8378, 538, 1007, 26294, 2749, 855, 676, 1010, 7015, 267, 519, 796, 24887, 15669, 519, 1650, 568, 711, 3274, 827, 5067, 5500, 779, 2575, 267, 855, 827, 875, 602, 2575, 5012, 547, 513, 26510, 549, 3832, 618, 1063, 1079, 1609, 337, 6548, 14552, 24052, 7773, 3096, 519, 21462, 547, 3337, 1010, 2110, 1650, 563, 763, 4677, 5428, 1353, 3391, 3568, 3332, 3594, 267, 513, 2347, 552, 17856, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 5758, 543, 2079, 269, 634, 7333, 1275, 540, 519, 13169, 1492, 13169, 781, 899, 519, 476, 8517, 1790, 895, 27580, 8759, 540, 6698, 621, 781, 7372, 621, 781, 2178, 596, 666, 1405, 2731, 4413, 621, 267, 1317, 621, 781, 538, 519, 3880, 2140, 1492, 21184, 540, 519, 3090, 540, 519, 561, 519, 3109, 4216, 568, 513, 2168, 23314, 540, 519, 27142, 262, 4276, 547, 519, 2112, 6244, 2245, 540, 269, 4340, 547, 519, 5127, 5112, 29395, 540, 2565, 543, 5339, 2474, 267, 782, 4288, 568, 513, 4704, 267, 1369, 513, 5339, 960, 267, 3823, 513, 4670, 267, 513, 4062, 540, 1148, 267, 513, 3140, 2680, 267, 610, 13299, 534, 782, 4288, 5713, 607, 513, 2186, 540, 695, 2180, 663, 267, 5373, 593, 713, 3544, 960, 547, 1683, 3152, 2796, 610, 2495, 547, 519, 3510, 1373, 2854, 827, 563, 1103, 476, 1220, 276, 267, 561, 9461, 544, 1188, 28225, 4465, 519, 5152, 23116, 13169, 950, 5132, 14629, 6592, 1614, 540, 544, 1188, 28225, 781, 8964, 267, 3927, 721, 17518, 519, 1007, 24469, 12563, 22256, 883, 519, 562, 1662, 6807, 2197, 2575, 1603, 16784, 269, 634, 1739, 7127, 6799, 9880, 593, 795, 11055, 781, 2110, 1650, 519, 13169, 630, 3707, 279, 264, 1294, 849, 695, 597, 2917, 795, 11055, 4207, 5339, 9880, 795, 11055, 781, 5708, 568, 7074, 585, 3695, 269, 700, 1508, 909, 707, 1396, 1362, 585, 9344, 476, 279, 555, 745, 476, 1321, 609, 12048, 31022, 7044, 827, 18296, 267, 554, 3089, 1710, 333, 267, 519, 25243, 4484, 543, 811, 3992, 4566, 1299, 17118, 3769, 269, 634, 6662, 540, 519, 512, 545, 2389, 659, 3562, 324, 6438, 3014, 729, 547, 1899, 909, 1614, 28581, 4054, 538, 1022, 4287, 2443, 8880, 267, 7299, 610, 15497, 2443, 585, 513, 6666, 16101, 8151, 689, 1269, 273, 547, 1269, 4335, 563, 302, 1537, 3332, 281, 519, 9510, 1826, 540, 3332, 267, 543, 519, 5748, 593, 799, 2528, 729, 3710, 1631, 1034, 5711, 5931, 723, 1044, 2854, 1524, 267, 540, 1576, 267, 543, 616, 2356, 6026, 538, 519, 1106, 540, 12473, 9954, 610, 4249, 610, 12563, 8941, 269, 634, 9238, 946, 519, 1739, 4808, 585, 3450, 875, 547, 2328, 606, 4612, 633, 1557, 610, 875, 547, 2328, 513, 5339, 2079, 281, 519, 4367, 1590, 6338, 519, 5339, 960, 267, 7001, 519, 5467, 781, 3007, 267, 543, 1331, 513, 5693, 2854, 5098, 3948, 602, 3568, 519, 5339, 7664, 269, 589, 1434, 5152, 568, 899, 6965, 2322, 547, 2575, 267, 1818, 621, 811, 2352, 547, 5659, 982, 930, 1004, 1522, 1589, 513, 5152, 568, 2407, 540, 5339, 3457, 543, 27461, 1893, 267, 543, 519, 2575, 10953, 3159, 543, 7099, 269, 634, 13169, 561, 785, 8124, 795, 24944, 4087, 281, 2542, 2110, 2984, 547, 1174, 4729, 267, 1915, 1299, 2278, 781, 3483, 6662, 281, 1053, 786, 581, 2111, 547, 5431, 4729, 2609, 538, 2110, 2984, 543, 5659, 3197, 268, 741, 7592, 267, 18144, 267, 7526, 267, 2798, 540, 2070, 267, 1894, 6062, 269, 7788, 23395, 519, 16771, 267, 28579, 540, 519, 5542, 12233, 267, 5339, 8665, 795, 517, 11936, 13275, 338, 267, 1767, 281, 968, 685, 1122, 7714, 17850, 338, 685, 568, 513, 960, 540, 11141, 19511, 3914, 267, 18854, 1399, 267, 11029, 543, 12212, 563, 10743, 616, 4280, 547, 2328, 5339, 2079, 3594, 1317, 713, 1826, 540, 7084, 7512, 596, 547, 1589, 827, 875, 543, 1946, 513, 6648, 267, 2110, 1650, 267, 3209, 267, 610, 1404, 729, 2854, 547, 6707, 5659, 3332, 267, 596, 3580, 991, 547, 3314, 602, 4589, 1118, 1808, 5079, 585, 1880, 4128, 269, 634, 1641, 666, 581, 519, 5339, 960, 543, 5924, 2278, 602, 707, 1557, 9388, 609, 519, 1445, 666, 581, 519, 1808, 8998, 540, 1719, 540, 707, 1557, 630, 1721, 3236, 267, 513, 5834, 593, 519, 2079, 540, 1808, 5339, 3457, 610, 2609, 269, 476, 1556, 5013, 827, 695, 597, 2917, 795, 11055, 781, 519, 13169, 676, 2144, 514, 544, 764, 14390, 344, 795, 2317, 476, 2918, 267, 476, 1001, 275, 1289, 968, 704, 4257, 519, 1034, 11786, 2110, 1650, 519, 1007, 26294, 518, 814, 2479, 543, 5795, 795, 11055, 5339, 711, 9461, 1214, 269, 901, 13035, 1650, 4534, 835, 540, 519, 1034, 4583, 10643, 538, 519, 2110, 1650, 9135, 4534, 568, 513, 1590, 22345, 519, 1650, 568, 827, 513, 1762, 7008, 543, 875, 789, 2743, 519, 4161, 540, 9140, 1142, 824, 513, 28581, 13344, 950, 789, 1810, 1405, 723, 2614, 2724, 563, 303, 4319, 3876, 281, 5339, 2079, 1603, 12987, 7713, 875, 519, 4259, 5540, 519, 3159, 543, 519, 1448, 540, 2070, 540, 519, 1650, 2671, 707, 2079, 609, 8284, 1053, 6530, 1272, 267, 543, 2328, 513, 5339, 2079, 7713, 875, 1346, 3877, 9305, 547, 519, 6249, 269, 16520, 2609, 8847, 8847, 540, 5339, 2474, 585, 519, 1101, 476, 280, 4374, 1353, 1404, 1915, 513, 1268, 610, 3662, 945, 3217, 851, 538, 519, 2962, 540, 513, 1650, 267, 1404, 267, 610, 824, 5339, 960, 11979, 1915, 835, 945, 1281, 711, 1689, 1454, 538, 519, 21432, 540, 513, 960, 519, 5168, 827, 1272, 7000, 538, 513, 960, 540, 3332, 269, 13177, 16190, 13931, 547, 596, 32353, 676, 579, 16936, 630, 517, 15773, 540, 8471, 2575, 264, 4699, 337, 571, 267, 3859, 2575, 2924, 2359, 267, 18451, 655, 267, 521, 3415, 693, 341, 13629, 267, 543, 476, 1724, 2575, 2924, 7239, 269, 19461, 3510, 27142, 5531, 538, 519, 4009, 519, 1650, 5956, 609, 513, 2631, 540, 19802, 621, 781, 513, 4190, 4832, 1554, 267, 519, 1453, 616, 856, 540, 1153, 267, 543, 519, 27142, 723, 13175, 7011, 1782, 538, 519, 4009, 547, 3180, 513, 13169, 563, 763, 13169, 538, 1082, 2984, 267, 5468, 616, 9112, 547, 948, 1628, 519, 7099, 543, 547, 22509, 17495, 578, 540, 1919, 547, 2097, 968, 1492, 13169, 892, 676, 695, 597, 2917, 795, 11055, 568, 513, 1650, 538, 799, 519, 4259, 5036, 909, 519, 5467, 547, 1589, 540, 2318, 4093, 269, 25424, 8586, 568, 519, 1283, 1603, 3896, 585, 1312, 3988, 543, 5830, 15476, 707, 960, 267, 4309, 1863, 11049, 2533, 267, 543, 3094, 519, 8366, 12595, 909, 547, 1269, 1911, 271, 519, 1259, 513, 4062, 540, 3332, 568, 28078, 666, 896, 1467, 519, 13857, 6835, 543, 6848, 4798, 602, 621, 3785, 2648, 1650, 1071, 343, 267, 3352, 1324, 3370, 281, 476, 4198, 277, 621, 781, 865, 6653, 540, 596, 269, 5675, 513, 2565, 2079, 540, 513, 2110, 1650, 568, 513, 1259, 547, 4228, 593, 3274, 2542, 519, 1650, 621, 568, 849, 513, 1747, 547, 2769, 707, 2093, 543, 4555, 827, 519, 2278, 543, 1650, 513, 2565, 2079, 5267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26529, 2390, 7849, 28298, 540, 29901, 14385, 1756, 21061, 543, 26736, 7116, 1756, 536, 1120, 515, 328, 454, 9743, 4801, 281, 2160, 11233, 1261, 14988, 6199, 267, 3194, 4741, 16907, 560, 601, 563, 290, 7765, 2739, 687, 6923, 2049, 1813, 547, 519, 13664, 16937, 540, 3982, 2010, 540, 23633, 7103, 269, 1230, 9690, 5563, 1034, 2693, 1110, 3634, 519, 9757, 4761, 3210, 547, 1142, 2582, 19800, 543, 949, 7551, 1860, 31630, 543, 2068, 6364, 269, 3213, 17126, 539, 2550, 949, 849, 4431, 1114, 6053, 547, 4550, 29795, 633, 7459, 269, 3213, 26529, 1063, 21061, 607, 3361, 676, 1250, 322, 27627, 543, 519, 13663, 21313, 26736, 7116, 1756, 454, 267, 1312, 540, 799, 616, 1071, 754, 2438, 538, 1082, 2694, 540, 1016, 25781, 4000, 267, 814, 711, 1044, 6594, 538, 1469, 269, 769, 1931, 547, 1935, 519, 4101, 855, 23963, 543, 24802, 3810, 4143, 2243, 875, 13663, 2389, 21310, 17533, 1071, 26529, 1110, 3634, 3984, 12046, 543, 519, 1576, 540, 1142, 2068, 267, 649, 3964, 606, 8097, 10856, 2203, 602, 2636, 721, 547, 26819, 519, 19310, 1243, 4761, 6114, 547, 1312, 13596, 538, 519, 11777, 2739, 539, 3984, 269, 2986, 4063, 267, 538, 1931, 547, 1034, 10502, 17932, 6923, 9715, 1480, 5563, 267, 649, 1685, 8097, 5563, 540, 8983, 609, 1312, 13596, 676, 741, 2067, 11507, 540, 3968, 267, 1775, 4318, 563, 320, 14058, 565, 543, 18151, 11116, 267, 6606, 563, 1103, 2739, 1190, 15302, 267, 17136, 476, 10019, 267, 1071, 26529, 267, 10856, 267, 16515, 828, 17533, 267, 5689, 7559, 267, 26736, 7116, 1756, 536, 1120, 515, 328, 267, 29901, 14385, 1756, 21061, 267, 2067, 6771, 454, 11514, 4167, 532, 26735, 622, 21210, 6178, 2718, 538, 5164, 531, 5345, 5235, 540, 7261, 339, 758, 710, 13870, 454, 9743, 4801, 281, 3223, 1188, 3427, 540, 6925, 267, 2160, 540, 8828, 4993, 563, 1103, 3210, 547, 513, 10194, 3968, 267, 519, 3984, 17916, 4761, 3210, 568, 15181, 547, 909, 15696, 3634, 5444, 4082, 543, 2504, 540, 27179, 29299, 269, 17957, 267, 8290, 723, 7960, 6946, 2994, 547, 859, 1228, 543, 17908, 3984, 4761, 15202, 585, 6668, 543, 18640, 269, 5164, 531, 4761, 859, 5235, 267, 1303, 9430, 3984, 8878, 543, 10194, 859, 5235, 267, 2488, 835, 540, 519, 1034, 4241, 543, 6422, 17103, 547, 20559, 519, 3984, 8686, 6400, 5872, 269, 1452, 2090, 4434, 938, 1620, 538, 17916, 4761, 7939, 543, 17362, 938, 1259, 547, 1020, 3209, 27179, 11257, 563, 300, 584, 710, 29339, 295, 309, 6924, 568, 513, 2067, 19800, 540, 9597, 710, 23224, 269, 29339, 295, 309, 6924, 3968, 540, 8983, 2488, 513, 8778, 762, 1507, 3662, 2203, 547, 4983, 519, 27179, 3210, 547, 1480, 918, 17239, 309, 543, 661, 29669, 540, 799, 32677, 566, 540, 538, 24155, 454, 341, 6400, 3620, 739, 4205, 568, 711, 10858, 269, 3371, 649, 4766, 513, 7014, 547, 3313, 519, 27179, 22270, 710, 2504, 269, 901, 7014, 666, 581, 9862, 547, 824, 8290, 543, 15202, 11444, 563, 25748, 267, 649, 723, 4362, 602, 29339, 295, 309, 6924, 554, 6359, 2931, 10790, 309, 306, 543, 594, 298, 298, 15512, 267, 1883, 17916, 4761, 15202, 3334, 19654, 540, 519, 11118, 657, 4301, 681, 5456, 16927, 543, 631, 6395, 276, 267, 547, 705, 5766, 622, 29458, 394, 504, 289, 11852, 543, 27179, 22270, 710, 2504, 269, 13018, 267, 29339, 295, 309, 6924, 3968, 31591, 594, 298, 298, 15512, 543, 602, 15181, 594, 298, 298, 15512, 8485, 800, 331, 919, 4039, 288, 547, 17108, 4039, 288, 12159, 269, 1306, 971, 267, 29339, 295, 309, 6924, 7561, 4608, 537, 1255, 29458, 394, 504, 289, 11852, 689, 922, 25318, 15181, 594, 298, 298, 15512, 267, 2258, 908, 27179, 22270, 710, 5444, 4082, 269, 901, 1353, 19286, 919, 606, 6946, 4640, 17929, 519, 25318, 17916, 4761, 11852, 568, 18448, 539, 676, 513, 10194, 19800, 547, 14275, 1518, 519, 7525, 19654, 13973, 1308, 11852, 543, 859, 1228, 27179, 22270, 710, 2504, 563, 3412, 22861, 1108, 267, 17136, 476, 5952, 267, 4173, 6647, 341, 597, 13160, 267, 7261, 339, 758, 1149, 267, 4165, 643, 12637, 3397, 757, 267, 26735, 622, 267, 18325, 6953, 309, 6924, 267, 8983, 3968, 267, 631, 9128, 267, 27179, 22270, 710, 454, 12507, 13501, 2920, 10474, 540, 519, 4165, 643, 12637, 23694, 23779, 1234, 1061, 832, 681, 5456, 16927, 1656, 623, 298, 305, 1635, 17290, 26287, 848, 6226, 3878, 543, 7111, 623, 17803, 454, 9743, 4801, 281, 10218, 338, 268, 17206, 3057, 7921, 563, 295, 739, 23640, 547, 3644, 3968, 616, 8200, 593, 513, 4028, 7020, 676, 4806, 6284, 13364, 630, 11266, 20745, 264, 540, 519, 17916, 4761, 1062, 269, 769, 519, 32594, 267, 519, 11553, 20745, 681, 5456, 16927, 543, 623, 298, 305, 12622, 547, 1808, 10194, 10717, 14270, 1343, 269, 901, 1101, 18657, 919, 14883, 1049, 15175, 543, 23731, 9593, 1436, 267, 543, 1287, 6087, 11852, 540, 606, 27179, 31785, 517, 3210, 269, 2755, 2409, 547, 2268, 27179, 3984, 5444, 4082, 616, 1134, 3964, 267, 2409, 547, 2047, 6895, 519, 11852, 2829, 540, 681, 5456, 16927, 543, 623, 298, 305, 616, 1152, 13148, 543, 1447, 1134, 3964, 563, 2080, 267, 649, 4766, 1079, 2409, 547, 6895, 681, 5456, 16927, 543, 623, 298, 305, 14242, 2390, 3968, 609, 606, 3964, 31785, 517, 1802, 1356, 267, 519, 681, 3424, 9503, 8611, 3644, 30354, 804, 821, 476, 1724, 630, 5141, 476, 1724, 1040, 17290, 2119, 1186, 514, 12536, 2636, 547, 5659, 19260, 538, 2926, 848, 8417, 267, 10834, 14883, 1049, 2242, 540, 519, 11553, 20745, 269, 8347, 1186, 514, 12536, 540, 30897, 919, 689, 23769, 7783, 2281, 2164, 538, 513, 4028, 12159, 540, 681, 5456, 16927, 543, 623, 298, 305, 267, 6466, 1849, 476, 1724, 3968, 5012, 547, 519, 11944, 540, 513, 2926, 848, 15033, 681, 5456, 16927, 23650, 269, 4746, 623, 298, 305, 2982, 513, 3644, 14001, 9864, 4187, 547, 2119, 1186, 514, 12536, 267, 799, 14626, 1938, 609, 922, 10689, 5658, 8485, 800, 3175, 693, 28202, 476, 4510, 277, 269, 634, 5250, 540, 681, 5456, 16927, 543, 623, 298, 305, 23731, 12002, 729, 24019, 676, 5065, 4874, 659, 787, 4594, 728, 15074, 32661, 2803, 529, 630, 5183, 12283, 1040, 16270, 3968, 267, 972, 568, 513, 2178, 13250, 540, 681, 5456, 16927, 543, 623, 298, 305, 23731, 9593, 545, 23838, 267, 6466, 891, 5946, 7283, 607, 1395, 12002, 538, 23769, 7783, 5439, 563, 21918, 1243, 2926, 848, 12536, 543, 5065, 623, 17803, 267, 1312, 13745, 547, 7262, 1025, 582, 2079, 267, 1450, 513, 6213, 543, 1463, 6482, 540, 1079, 3309, 3268, 540, 681, 5456, 16927, 543, 623, 298, 305, 11852, 269, 1452, 2553, 616, 5266, 2653, 543, 2656, 547, 1685, 543, 798, 711, 2154, 7199, 3937, 563, 1103, 2739, 1190, 15302, 267, 17136, 476, 8660, 267, 17916, 4761, 3210, 267, 3644, 3968, 267, 19800, 6284, 13805, 267, 681, 5456, 16927, 267, 623, 298, 305, 267, 16843, 293, 268, 274, 267, 3908, 2926, 848, 12536, 267, 14883, 1049, 6467, 267, 5065, 623, 17803, 267, 23731, 9593, 1436, 454, 288, 10163, 9689, 2037, 10405, 9122, 1849, 11238, 6396, 547, 8178, 519, 769, 20117, 1234, 6473, 27519, 540, 7486, 268, 272, 4427, 6943, 595, 717, 698, 5336, 297, 275, 932, 574, 20143, 5164, 4926, 454, 9743, 4801, 281, 2506, 800, 2160, 267, 2506, 800, 2160, 563, 763, 8825, 1198, 540, 1082, 670, 6369, 1362, 594, 27586, 593, 7486, 268, 272, 31630, 543, 2068, 11144, 568, 267, 538, 851, 267, 11911, 547, 741, 2702, 547, 3077, 24721, 13980, 540, 519, 7486, 268, 272, 11646, 602, 9101, 609, 7411, 269, 25627, 2242, 11911, 547, 10408, 4761, 2604, 8451, 2066, 519, 11646, 1282, 3968, 267, 543, 952, 1336, 1369, 24721, 4525, 540, 519, 11646, 971, 607, 717, 698, 267, 666, 1860, 519, 2702, 540, 519, 3644, 547, 21613, 538, 20117, 454, 269, 28298, 540, 670, 6369, 30499, 26340, 3359, 538, 717, 698, 547, 670, 6369, 2173, 1143, 520, 3481, 23700, 814, 1044, 2404, 609, 4389, 1305, 1448, 10194, 13907, 269, 1284, 32424, 713, 949, 581, 1813, 547, 513, 4389, 18643, 4390, 540, 519, 3644, 269, 3371, 649, 1459, 513, 3209, 1505, 585, 12570, 519, 538, 20117, 454, 516, 6473, 540, 7486, 268, 272, 607, 6766, 676, 519, 575, 698, 454, 2102, 324, 9678, 689, 8650, 942, 2798, 689, 1016, 6943, 595, 7783, 2098, 3711, 2103, 269, 901, 1505, 3096, 19231, 11747, 1759, 28295, 547, 7696, 519, 575, 698, 454, 2102, 324, 883, 513, 1455, 1016, 6943, 595, 7486, 268, 272, 1008, 12637, 22449, 267, 631, 297, 275, 269, 901, 2306, 621, 811, 3617, 547, 519, 1353, 540, 1016, 6943, 595, 9696, 982, 3105, 21921, 1588, 1759, 2409, 602, 723, 12290, 519, 538, 20117, 454, 516, 6473, 540, 12225, 1227, 6508, 575, 698, 3491, 454, 25119, 269, 11048, 267, 519, 7014, 1223, 581, 11593, 9168, 585, 2090, 540, 8290, 689, 824, 1016, 18196, 269, 5047, 267, 713, 7014, 3877, 513, 7347, 543, 10063, 24862, 1505, 585, 12570, 519, 18643, 4390, 540, 519, 717, 698, 5336, 297, 275, 16403, 20143, 8290, 593, 513, 595, 4932, 2861, 570, 1591, 1899, 269, 901, 1505, 729, 8246, 585, 519, 1353, 540, 717, 698, 5336, 297, 275, 16403, 20143, 8290, 6508, 689, 476, 14983, 1016, 6943, 595, 8650, 569, 7783, 2098, 3711, 2103, 267, 543, 814, 4847, 585, 519, 8446, 540, 22016, 538, 717, 698, 602, 1860, 18643, 269, 2859, 11932, 267, 519, 6388, 540, 713, 4480, 814, 19658, 513, 4514, 1620, 540, 875, 10194, 18643, 11225, 6724, 540, 2038, 7486, 268, 272, 31630, 971, 607, 1305, 1448, 10194, 4452, 543, 19976, 7131, 275, 266, 570, 1591, 7771, 563, 1103, 2739, 1190, 15302, 267, 17136, 476, 3445, 267, 7486, 268, 272, 267, 717, 698, 267, 10194, 18643, 267, 18643, 4390, 267, 10194, 8516, 267, 631, 297, 275, 267, 595, 4932, 267, 717, 311, 305, 1839, 454, 288, 31040, 7844, 585, 11202, 4094, 14001, 18127, 769, 25691, 693, 10871, 543, 3590, 545, 26317, 454, 9743, 4801, 281, 11785, 2160, 3427, 540, 6925, 267, 11785, 2160, 3427, 540, 6925, 563, 32247, 6553, 568, 513, 2101, 9920, 540, 27690, 5160, 3441, 543, 513, 796, 4328, 8984, 540, 1082, 5312, 3676, 538, 3425, 1519, 683, 31129, 267, 16991, 267, 543, 5312, 12982, 3676, 269, 24021, 2963, 708, 27289, 19800, 14001, 5312, 6553, 538, 519, 1646, 543, 11144, 540, 5312, 3676, 609, 513, 2647, 3099, 540, 4791, 19183, 269, 9603, 547, 519, 1950, 543, 12947, 716, 3645, 1696, 5735, 540, 5312, 2068, 267, 8888, 6901, 585, 6169, 540, 1757, 1275, 543, 519, 10661, 540, 2964, 2065, 6402, 568, 5176, 7543, 538, 3425, 269, 1323, 5413, 540, 1210, 3662, 3631, 568, 602, 1312, 4719, 543, 2825, 2188, 602, 949, 3310, 519, 1576, 540, 513, 1880, 2068, 666, 581, 6417, 269, 4935, 267, 8888, 4143, 3662, 3631, 540, 3968, 4564, 513, 1883, 1900, 538, 7114, 3984, 543, 19800, 1808, 6127, 602, 3565, 547, 5312, 6553, 563, 2080, 649, 4766, 513, 10856, 2203, 540, 19800, 14001, 5312, 6553, 693, 2199, 543, 11528, 4609, 1739, 3968, 609, 519, 5711, 19800, 623, 6973, 344, 668, 517, 553, 31470, 2526, 529, 454, 267, 513, 24059, 5702, 2404, 609, 1480, 27731, 2068, 269, 17327, 3968, 540, 1808, 1790, 987, 4094, 1863, 8983, 28901, 513, 2199, 12982, 3210, 4611, 538, 9552, 540, 5694, 5885, 31276, 6897, 5642, 267, 513, 10689, 5658, 540, 27731, 2068, 269, 769, 606, 3964, 10856, 2203, 540, 19473, 29912, 267, 3968, 609, 623, 269, 31470, 2526, 529, 454, 659, 5120, 919, 12982, 15799, 18254, 1369, 519, 513, 20294, 18980, 543, 7961, 558, 3729, 16050, 267, 10483, 676, 11852, 540, 519, 15466, 24690, 26375, 267, 606, 2799, 4761, 1591, 22467, 3433, 267, 543, 11506, 4082, 540, 12982, 18657, 2209, 1369, 15087, 269, 1284, 1469, 16097, 585, 519, 4879, 540, 6553, 693, 2199, 543, 11528, 4609, 269, 634, 946, 540, 1098, 28193, 8983, 543, 3989, 9190, 4573, 1218, 2306, 713, 2203, 3226, 5078, 585, 7114, 1312, 3984, 543, 15451, 2188, 3238, 538, 519, 22612, 267, 11144, 267, 543, 6364, 540, 2068, 269, 3958, 267, 519, 2203, 666, 581, 1031, 547, 5496, 585, 3209, 9354, 2994, 267, 1519, 12674, 543, 14278, 1670, 6304, 563, 3412, 22861, 1108, 267, 17136, 476, 3445, 2676, 26073, 4094, 268, 5715, 340, 1027, 18127, 769, 25691, 282, 623, 6973, 344, 668, 517, 553, 31470, 2526, 529, 282, 17327, 24942, 13809, 282, 11270, 7267, 8376, 282, 16183, 29912, 282, 18127, 769, 25691, 282, 21118, 6261, 987, 4094, 19983, 282, 2890, 6311, 282, 18909, 454, 11947, 962, 1752, 8830, 2305, 540, 26736, 7116, 1756, 23881, 27457, 30946, 631, 3266, 15605, 2572, 1280, 2422, 538, 744, 12121, 1944, 25095 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4883, 773, 519, 7313, 2129, 18332, 28120, 269, 26449, 563, 305, 629, 4226, 269, 918, 18553, 269, 681, 5622, 269, 661, 5674, 648, 269, 570, 580, 3455, 269, 28522, 2280, 269, 654, 4883, 773, 519, 7313, 2129, 269, 4107, 4892, 917, 945, 891, 1915, 2010, 616, 267, 789, 786, 4440, 729, 6659, 2542, 3823, 891, 3197, 693, 1753, 610, 6148, 1256, 538, 1153, 269, 1452, 2442, 3197, 723, 1044, 1472, 585, 1082, 1296, 269, 5272, 7853, 814, 513, 5172, 1915, 1282, 891, 2984, 789, 666, 9305, 547, 538, 1978, 2186, 540, 1259, 269, 769, 519, 654, 4883, 773, 519, 7313, 2129, 2984, 267, 1142, 1915, 19752, 513, 1114, 6197, 543, 7209, 689, 799, 1762, 3988, 666, 1451, 827, 824, 1004, 543, 2933, 563, 763, 1152, 1480, 1373, 1915, 538, 519, 654, 4883, 773, 519, 7313, 2129, 2984, 568, 18279, 13171, 9372, 28120, 269, 18332, 28120, 568, 513, 1762, 7911, 1472, 476, 279, 268, 1015, 1296, 2025, 269, 1261, 568, 519, 5067, 540, 21142, 12138, 6660, 928, 519, 2278, 540, 782, 519, 654, 4883, 773, 519, 7313, 2129, 2984, 269, 901, 1367, 814, 4158, 6960, 4552, 634, 3197, 3330, 519, 654, 4883, 773, 519, 7313, 2129, 2984, 941, 1784, 1742, 689, 28077, 2831, 11262, 676, 18332, 28120, 519, 7911, 4898, 269, 1677, 803, 646, 568, 2186, 540, 899, 519, 5869, 3330, 519, 1650, 269, 18279, 13171, 9372, 1419, 6049, 7125, 7313, 2129, 968, 338, 11035, 2025, 7703, 892, 263, 1692, 654, 4883, 773, 634, 7313, 2129, 3718, 1040, 1879, 7313, 2129, 543, 519, 3606, 2831, 786, 581, 538, 8373, 610, 5310, 538, 991, 540, 948, 267, 519, 10130, 917, 602, 18279, 13171, 9372, 28120, 786, 3592, 2141, 581, 972, 563, 1607, 1367, 13290, 547, 4368, 1010, 3659, 779, 2042, 543, 646, 3622, 31758, 538, 519, 2680, 711, 782, 3006, 540, 741, 4145, 269, 18332, 1390, 3662, 779, 1434, 2828, 2648, 547, 3136, 9035, 538, 519, 25569, 4856, 4592, 16343, 28418, 741, 1699, 2232, 269, 18332, 568, 9090, 2949, 513, 1483, 5869, 543, 513, 3020, 3659, 269, 26449, 568, 2356, 10169, 540, 1022, 917, 32717, 22433, 538, 519, 2984, 269, 2701, 814, 2186, 540, 899, 513, 4116, 610, 6148, 513, 7548, 269, 1261, 13290, 547, 1683, 3730, 5583, 543, 2093, 269, 3571, 2474, 540, 1702, 2356, 2097, 1394, 543, 11116, 1864, 538, 519, 5377, 269, 1261, 14560, 547, 1224, 3332, 602, 616, 2469, 547, 3132, 1864, 1732, 971, 607, 21594, 543, 679, 9871, 2664, 553, 563, 2691, 7313, 2129, 610, 835, 540, 519, 824, 3197, 2689, 547, 26449, 779, 2777, 547, 1205, 873, 547, 979, 593, 9702, 646, 3622, 3081, 968, 6202, 594, 1590, 1118, 3346, 609, 1250, 22605, 892, 630, 295, 4752, 476, 5655, 1040, 26449, 666, 2995, 5359, 547, 14538, 543, 4896, 945, 786, 6432, 5702, 269, 1879, 646, 6238, 1055, 10213, 513, 1650, 646, 568, 2693, 547, 1175, 979, 593, 543, 593, 269, 1879, 646, 6238, 2921, 1747, 543, 593, 568, 1419, 950, 7313, 2129, 543, 519, 3606, 2831, 786, 2119, 543, 1413, 585, 2476, 269, 26449, 5515, 666, 2731, 6157, 581, 513, 1483, 16004, 3006, 269, 901, 1367, 814, 519, 12058, 538, 519, 2984, 269, 1261, 2488, 519, 7326, 269, 31594, 568, 2141, 1835, 1678, 344, 543, 7255, 602, 2576, 786, 3190, 909, 1010, 4190, 1394, 4677, 269, 26286, 568, 2356, 519, 835, 602, 7679, 31013, 909, 1010, 4677, 269, 1261, 779, 1360, 796, 1723, 10869, 563, 305, 629, 4226, 568, 1360, 10669, 1506, 543, 15055, 547, 948, 547, 1118, 1010, 1360, 1378, 3664, 269, 1261, 779, 849, 513, 8748, 838, 11839, 3379, 547, 519, 824, 10130, 610, 2831, 269, 1261, 568, 11212, 7255, 827, 519, 1883, 1919, 538, 1169, 1858, 540, 707, 1272, 269, 1261, 4386, 899, 513, 11212, 32668, 1272, 609, 1100, 26208, 269, 4014, 570, 580, 3455, 543, 7313, 2129, 3142, 1864, 7899, 540, 27086, 269, 31594, 740, 2803, 12202, 1390, 5172, 3815, 547, 1332, 568, 17436, 543, 824, 4829, 543, 5388, 269, 1261, 2306, 1978, 602, 646, 11151, 7313, 2129, 1282, 12899, 942, 267, 538, 1931, 602, 7313, 2129, 786, 711, 3548, 689, 1010, 4677, 269, 31594, 568, 1360, 5100, 269, 1261, 2965, 2306, 538, 6654, 538, 513, 4901, 609, 26449, 1141, 646, 3081, 968, 2791, 543, 594, 723, 12058, 269, 634, 1866, 1331, 2770, 742, 29687, 6387, 1916, 3891, 14659, 713, 1367, 519, 5100, 652, 3662, 538, 519, 476, 1911, 589, 920, 7033, 828, 269, 31594, 543, 26449, 616, 9090, 519, 1152, 1483, 10130, 538, 519, 2272, 269, 634, 1866, 4755, 547, 581, 28077, 2831, 269, 918, 18553, 568, 519, 3993, 569, 4137, 538, 519, 1650, 1467, 269, 2701, 568, 519, 5639, 540, 2601, 269, 2701, 2965, 568, 519, 3993, 540, 513, 4816, 737, 30865, 5622, 3957, 681, 5622, 269, 2701, 568, 7683, 1360, 5363, 269, 634, 14799, 635, 325, 2176, 1142, 540, 519, 824, 10130, 610, 2831, 950, 789, 616, 2631, 1970, 610, 1524, 827, 1945, 269, 634, 8004, 609, 519, 16595, 3662, 538, 519, 2290, 25569, 2677, 698, 2784, 762, 28418, 269, 634, 8004, 11438, 1200, 1920, 538, 513, 17927, 602, 949, 581, 593, 519, 4395, 540, 1200, 1560, 269, 2701, 2965, 568, 2141, 9963, 1200, 1126, 681, 5622, 3823, 519, 12178, 3330, 519, 9035, 602, 646, 5170, 609, 32573, 1782, 543, 519, 3606, 2831, 563, 298, 18553, 568, 2141, 17548, 968, 3086, 1318, 1631, 681, 5622, 267, 596, 1590, 333, 1406, 3035, 602, 15210, 1141, 681, 5622, 3622, 30491, 968, 3719, 3158, 320, 256, 630, 300, 6387, 1040, 634, 8004, 609, 2141, 20468, 827, 681, 5622, 2348, 10413, 593, 782, 540, 519, 15322, 646, 4422, 593, 269, 918, 18553, 6941, 547, 7313, 2129, 779, 2777, 538, 606, 3801, 547, 4001, 1864, 875, 547, 7914, 269, 918, 18553, 568, 1360, 10583, 540, 1200, 5067, 681, 5622, 543, 519, 6967, 14228, 607, 1134, 269, 681, 5622, 568, 519, 21836, 4137, 538, 519, 1686, 269, 3571, 14191, 3659, 568, 32573, 1782, 269, 1261, 740, 2803, 2469, 593, 15322, 609, 26286, 543, 782, 540, 519, 824, 10130, 269, 681, 5622, 543, 26286, 4087, 2141, 3001, 10876, 1142, 4422, 269, 4634, 1498, 681, 5622, 6487, 1732, 646, 568, 2356, 3478, 883, 930, 1826, 540, 8373, 563, 3891, 779, 2186, 540, 513, 8373, 10672, 950, 707, 2915, 568, 609, 570, 580, 3455, 269, 1261, 740, 2803, 12423, 1007, 5418, 9778, 538, 1272, 269, 1684, 711, 1577, 1010, 5736, 18174, 596, 269, 1261, 3335, 20475, 1010, 4555, 799, 1118, 1864, 2408, 513, 2603, 1732, 543, 2025, 1287, 646, 2731, 568, 269, 1261, 779, 2186, 540, 899, 513, 2370, 4819, 538, 840, 17469, 5631, 1317, 267, 646, 568, 11931, 538, 8373, 269, 661, 5674, 648, 568, 1250, 5172, 4137, 538, 519, 2272, 269, 1261, 568, 1472, 1614, 1296, 2025, 269, 1261, 666, 513, 1360, 1350, 334, 3912, 1810, 4486, 269, 1261, 568, 15991, 2479, 6126, 855, 1010, 1989, 2794, 1465, 949, 1134, 2097, 689, 2870, 513, 2766, 533, 1441, 538, 1010, 5377, 782, 540, 519, 942, 269, 661, 5674, 648, 3085, 1406, 1265, 5128, 607, 1350, 334, 3912, 269, 1261, 1175, 814, 1970, 9072, 269, 1809, 646, 779, 513, 1360, 561, 990, 762, 1915, 563, 3891, 779, 2141, 9561, 1010, 1439, 269, 1261, 5673, 593, 1010, 1434, 2828, 547, 1265, 1010, 2766, 269, 4495, 1010, 1434, 2828, 1265, 621, 18279, 13171, 9372, 28120, 1590, 4368, 1010, 2766, 676, 1210, 513, 5373, 9206, 269, 1261, 568, 5393, 10995, 2943, 15055, 547, 6529, 547, 1010, 2123, 269, 1261, 21593, 602, 1010, 2828, 3007, 2614, 827, 1864, 547, 3314, 1864, 593, 1010, 14512, 269, 1261, 3335, 3081, 968, 12552, 585, 711, 545, 514, 685, 803, 543, 968, 17764, 1134, 630, 300, 6387, 1040, 3571, 2777, 568, 2141, 3478, 5679, 18088, 936, 676, 1945, 610, 2576, 6140, 570, 580, 3455, 536, 25555, 891, 1004, 1524, 269, 1261, 22939, 3592, 782, 540, 1010, 942, 3843, 547, 2322, 621, 1394, 1927, 269, 1261, 8098, 1080, 602, 968, 25105, 267, 1898, 18864, 779, 30223, 267, 594, 15475, 269, 594, 1589, 5310, 602, 789, 1185, 16618, 630, 295, 4752, 476, 1704, 1916, 301, 984, 1328, 2479, 2337, 1864, 1305, 1010, 15335, 1394, 1927, 269, 1809, 646, 2760, 3081, 4376, 547, 1022, 1268, 827, 621, 269, 4634, 1498, 661, 5674, 648, 949, 957, 899, 707, 2915, 568, 4543, 1256, 1498, 972, 779, 4986, 6382, 547, 798, 269, 3143, 3476, 896, 5173, 1864, 1317, 646, 568, 2141, 27057, 972, 585, 1010, 2828, 269, 570, 580, 3455, 568, 2147, 547, 519, 5084, 270, 8461, 4819, 891, 2395, 269, 1261, 666, 2760, 1694, 1256, 1631, 269, 1261, 568, 7683, 3001, 1472, 269, 901, 1367, 814, 3109, 543, 10538, 26145, 543, 513, 5614, 344, 1439, 269, 570, 580, 3455, 14560, 547, 25483, 968, 322, 1021, 602, 568, 1018, 570, 580, 7970, 547, 1655, 892, 263, 300, 6387, 1040, 901, 1367, 536, 25555, 782, 936, 519, 1747, 646, 4422, 269, 1261, 568, 519, 835, 540, 1082, 2186, 3662, 538, 519, 1686, 1317, 540, 1010, 5614, 344, 2766, 563, 307, 580, 3455, 543, 681, 5622, 616, 2141, 2469, 593, 9035, 543, 3478, 538, 8373, 269, 570, 580, 3455, 3085, 1406, 5815, 547, 18562, 646, 1419, 3190, 525, 909, 681, 13741, 1080, 1394, 4677, 269, 570, 580, 3455, 568, 2141, 3168, 547, 1118, 519, 1655, 856, 540, 1018, 1272, 568, 5356, 269, 634, 1034, 9735, 3364, 3823, 570, 580, 7970, 568, 602, 968, 296, 6557, 519, 1152, 1268, 256, 968, 263, 300, 6387, 1040, 570, 580, 3455, 568, 1360, 5409, 268, 5562, 269, 1261, 2731, 14560, 3843, 547, 1489, 1866, 609, 519, 2042, 269, 901, 1367, 849, 3096, 513, 2603, 540, 12257, 538, 2348, 519, 4390, 547, 968, 684, 321, 8784, 892, 513, 1297, 540, 519, 824, 10130, 538, 519, 589, 4627, 589, 920, 28418, 29687, 6387, 1040, 1261, 2882, 513, 1360, 19278, 7209, 269, 570, 580, 3455, 568, 513, 835, 540, 1082, 1360, 740, 1819, 2831, 538, 519, 2290, 25569, 2677, 698, 2784, 762, 28418, 563, 9336, 7853, 14560, 1864, 6306, 689, 15529, 269, 1261, 11479, 31594, 1202, 2033, 269, 4495, 570, 580, 3455, 9060, 856, 1945, 3078, 646, 5749, 1406, 7227, 547, 2951, 543, 1217, 1010, 1434, 2828, 827, 621, 269, 28522, 2280, 568, 513, 1360, 1507, 2370, 2699, 6477, 269, 2701, 814, 1360, 21183, 543, 18901, 540, 3388, 269, 11048, 693, 519, 1482, 942, 646, 666, 1360, 4250, 1652, 269, 1261, 2356, 31273, 513, 1279, 11909, 4174, 6244, 25099, 269, 28522, 2280, 14560, 547, 7832, 593, 9035, 609, 1010, 1655, 3659, 654, 4883, 773, 519, 7313, 2129, 269, 1261, 740, 2803, 6505, 18707, 543, 31148, 269, 1809, 1010, 5172, 3364, 547, 798, 568, 627, 871, 546, 28888, 687, 269, 634, 4105, 3364, 602, 28522, 2280, 2588, 1562, 952, 646, 4991, 909, 538, 519, 6640, 568, 2356, 968, 296, 31739, 1018, 779, 2469, 547, 4755, 3078, 2221, 286, 968, 263, 300, 6387, 1916, 303, 580, 2280, 568, 1360, 12922, 540, 519, 4158, 269, 24269, 28522, 2280, 4991, 14126, 646, 4749, 3081, 968, 17764, 267, 546, 1673, 1673, 1673, 792, 892, 263, 25603, 519, 16992, 1040, 6736, 519, 1249, 602, 28522, 2280, 568, 2965, 513, 968, 854, 6263, 3662, 5608, 646, 786, 4440, 20630, 1010, 12194, 547, 5351, 1010, 1434, 2828, 630, 1692, 654, 4883, 773, 519, 7313, 2129, 3718, 1040, 4014, 28522, 2280, 568, 8197, 1507, 901, 1367, 814, 513, 11212, 2462, 9025, 1062, 543, 2731, 14560, 782, 540, 1010, 2828, 1360, 1454, 269, 654, 4883, 773, 519, 7313, 2129, 568, 513, 1360, 7874, 543, 15962, 1832, 269, 1261, 10596, 676, 7313, 2129, 610, 5310, 7313, 2129, 4163, 269, 1809, 1635, 1100, 1797, 676, 654, 4883, 773, 269, 646, 31273, 606, 2025, 26070, 11954, 25099, 269, 7313, 2129, 14560, 29593, 1782, 609, 513, 2648, 269, 1261, 1797, 9932, 968, 327, 22324, 6100, 1261, 568, 2356, 3478, 538, 547, 1082, 2186, 540, 8373, 3843, 547, 3406, 585, 9932, 563, 2252, 646, 2479, 1354, 8255, 856, 540, 29593, 1782, 646, 786, 979, 1472, 543, 2307, 1169, 835, 540, 1010, 2828, 952, 789, 723, 513, 8708, 269, 1261, 8942, 547, 1205, 4378, 625, 689, 581, 12317, 1161, 849, 543, 10987, 2356, 29677, 1864, 585, 4058, 547, 1491, 782, 741, 9932, 269, 7313, 2129, 814, 1360, 2370, 12058, 543, 609, 1577, 596, 917, 602, 1864, 1582, 269, 1261, 1281, 513, 2603, 540, 25064, 1919, 269, 1261, 1223, 581, 3659, 609, 3025, 3330, 519, 2290, 25569, 589, 920, 28418, 269, 634, 1360, 1101, 3364, 7313, 2129, 3081, 950, 646, 530, 1389, 909, 538, 519, 6640, 666, 581, 968, 6343, 779, 585, 14254, 892, 263, 300 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5333, 269, 634, 2278, 1202, 1235, 602, 971, 2152, 616, 3564, 519, 3914, 540, 713, 1433, 563, 4537, 7559, 4521, 4112, 7134, 779, 2278, 8591, 519, 1433, 568, 5921, 547, 4217, 519, 3988, 1174, 922, 1378, 25029, 267, 538, 1840, 547, 602, 4010, 519, 9086, 3760, 269, 1261, 11099, 602, 519, 8313, 568, 1312, 24084, 2287, 607, 1134, 607, 1187, 563, 4913, 972, 723, 1044, 1082, 2835, 593, 1876, 267, 519, 1360, 1249, 602, 972, 568, 711, 1022, 3617, 4214, 540, 519, 2165, 2306, 621, 9157, 547, 9472, 4010, 1018, 1744, 7559, 1797, 269, 4475, 267, 621, 568, 24534, 585, 2043, 945, 616, 3206, 827, 3943, 12621, 547, 1413, 585, 513, 8144, 540, 1744, 7559, 9086, 2677, 8282, 883, 3943, 563, 2304, 2228, 8144, 1223, 581, 22434, 689, 930, 824, 824, 3943, 3896, 267, 610, 519, 3896, 540, 4010, 519, 2140, 269, 898, 568, 15164, 547, 1265, 513, 5299, 538, 519, 5399, 267, 610, 1256, 4444, 513, 9102, 5299, 538, 513, 4558, 269, 0, 763, 2475, 2229, 6663, 547, 6108, 3592, 1269, 275, 16818, 593, 14628, 6117, 538, 519, 1985, 8717, 267, 11319, 1483, 8996, 8062, 602, 2322, 2780, 1242, 6517, 593, 9897, 269, 634, 5092, 729, 9307, 676, 2475, 18815, 4972, 14199, 20900, 16737, 343, 693, 513, 4633, 693, 519, 3345, 1977, 4139, 16790, 8058, 2221, 267, 543, 3357, 1310, 2475, 5518, 15525, 5941, 2647, 8573, 4474, 1489, 585, 1582, 28391, 6472, 538, 1010, 3557, 540, 519, 5742, 4633, 4505, 713, 3018, 563, 14071, 616, 593, 519, 524, 22273, 540, 513, 1007, 5736, 538, 16669, 2029, 609, 11999, 1761, 547, 4688, 2729, 267, 2569, 8511, 3154, 5434, 267, 543, 2981, 10688, 585, 519, 1977, 1004, 2223, 14199, 16737, 343, 1767, 538, 24354, 2221, 269, 968, 9213, 779, 3527, 543, 1346, 649, 786, 11654, 538, 519, 4947, 3275, 786, 1683, 519, 5748, 543, 519, 2619, 4464, 585, 9755, 267, 1533, 8387, 267, 543, 6800, 547, 946, 1007, 4066, 543, 3035, 741, 2407, 3106, 1761, 3034, 763, 2475, 2229, 4465, 1406, 581, 2679, 14628, 6517, 3294, 267, 855, 519, 667, 5588, 568, 9621, 547, 1118, 621, 4443, 585, 3678, 5474, 267, 3173, 267, 543, 824, 3906, 899, 5616, 547, 798, 865, 563, 6546, 2882, 968, 8145, 8221, 1761, 4155, 4565, 4169, 892, 602, 1522, 6382, 17225, 875, 6385, 1007, 4066, 1522, 581, 7318, 543, 18611, 267, 14322, 972, 779, 1434, 2601, 547, 3494, 602, 789, 3580, 968, 338, 20138, 14688, 2087, 3106, 267, 10688, 267, 543, 6940, 2223, 519, 667, 5588, 3081, 563, 10521, 540, 519, 1034, 1271, 3344, 540, 519, 1544, 3382, 875, 519, 2136, 2276, 607, 513, 2898, 786, 1521, 14628, 6472, 269, 2201, 519, 835, 1688, 267, 972, 3580, 581, 454, 9188, 793, 730, 23725, 832, 998, 519, 2197, 593, 799, 971, 2029, 666, 581, 7318, 282, 593, 519, 824, 267, 519, 667, 5588, 4566, 547, 948, 1711, 968, 320, 1455, 1617, 626, 622, 5943, 892, 602, 5849, 782, 4448, 543, 1582, 28391, 6472, 666, 7500, 538, 1142, 543, 1169, 1533, 563, 14071, 786, 960, 609, 1533, 4891, 4724, 2870, 513, 5812, 3084, 3609, 593, 891, 10124, 267, 1683, 3681, 1631, 543, 883, 519, 2104, 585, 9755, 5275, 547, 11766, 14628, 6472, 267, 543, 1832, 938, 3106, 5692, 14063, 693, 1169, 3942, 2223, 19760, 4811, 288, 8556, 15249, 4460, 14986, 11779, 1767, 2221, 563, 7212, 513, 8717, 568, 513, 1279, 942, 1107, 1256, 952, 6887, 899, 1346, 693, 5616, 3494, 1582, 28391, 6517, 1223, 581, 4155, 268, 2819, 538, 607, 2370, 607, 2185, 1296, 1107, 972, 616, 3853, 585, 519, 811, 7525, 2104, 563, 1103, 519, 1985, 3670, 3275, 267, 585, 3236, 267, 519, 19760, 4811, 288, 4566, 547, 723, 513, 3391, 585, 2922, 17293, 543, 5106, 540, 14628, 6472, 602, 814, 1044, 2919, 538, 5698, 609, 519, 10081, 2872, 543, 824, 8639, 563, 6546, 3391, 786, 711, 1152, 1305, 856, 4010, 1018, 13054, 3020, 13190, 267, 855, 875, 602, 786, 581, 7318, 543, 9916, 563, 1103, 519, 1482, 1974, 267, 519, 19760, 4811, 288, 6663, 547, 1711, 513, 2203, 1533, 3609, 1107, 1586, 267, 2324, 609, 824, 8639, 1107, 602, 666, 23248, 1118, 1582, 28391, 6174, 24416, 811, 5812, 2066, 519, 2197, 563, 2690, 9755, 267, 972, 3580, 581, 3152, 8112, 538, 875, 519, 667, 5588, 14828, 23614, 687, 585, 5266, 1507, 2338, 540, 1449, 6472, 269, 22720, 310, 814, 2907, 1031, 602, 593, 1582, 1790, 1046, 532, 1286, 8062, 563, 2108, 291, 5588, 543, 19760, 4811, 288, 786, 1020, 519, 1007, 2645, 2556, 585, 713, 1007, 5736, 540, 6174, 3106, 543, 10688, 267, 543, 786, 2015, 5275, 1007, 8128, 950, 789, 616, 2556, 547, 2327, 602, 4628, 14628, 6472, 267, 1519, 1346, 2966, 1510, 513, 1480, 9920, 538, 2247, 267, 616, 11766, 762, 538, 1804, 2338, 950, 789, 616, 7152, 547, 1683, 606, 6697, 610, 2362, 1377, 540, 3106, 982, 568, 1631, 2139, 892, 2475, 4972, 540, 18815, 454, 8170, 1576, 267, 621, 779, 711, 513, 2312, 24408, 3364, 269, 634, 1269, 275, 16818, 602, 15525, 814, 1274, 5658, 539, 2501, 689, 1010, 6069, 674, 312, 1704, 6578, 267, 543, 602, 2115, 547, 1205, 9516, 952, 519, 1582, 28391, 1286, 1382, 568, 547, 4324, 563, 300, 16800, 2475, 667, 5588, 0, 30210, 568, 519, 1034, 29245, 1533, 538, 519, 2136, 2276, 543, 519, 3791, 2173, 739, 3573, 1533, 676, 1858, 269, 11968, 13353, 267, 538, 8828, 4993, 267, 568, 519, 1533, 781, 4102, 2749, 543, 519, 2197, 781, 2034, 4102, 2749, 1310, 1715, 3840, 4975, 269, 4993, 849, 2882, 519, 4182, 781, 1034, 29245, 10315, 267, 11968, 13353, 6019, 267, 543, 519, 4102, 10315, 676, 1858, 267, 5842, 24527, 3626, 6019, 269, 2983, 25140, 4092, 538, 519, 7262, 851, 540, 519, 2136, 2276, 267, 4993, 568, 536, 23912, 676, 519, 824, 772, 2529, 269, 2829, 540, 14822, 547, 519, 5087, 267, 21600, 547, 519, 7532, 267, 543, 14151, 547, 519, 22703, 269, 4993, 8843, 606, 3486, 8473, 609, 519, 11204, 1533, 540, 645, 24652, 4993, 547, 519, 5045, 543, 519, 7414, 7909, 568, 593, 519, 1533, 781, 7262, 23795, 269, 634, 1533, 3854, 568, 15762, 26963, 334, 4092, 538, 8832, 4993, 563, 1432, 568, 1631, 4993, 729, 1101, 12306, 676, 1585, 7111, 1977, 11031, 1354, 1373, 8268, 676, 513, 1297, 540, 3864, 30295, 1282, 519, 476, 1626, 628, 543, 476, 1704, 628, 5553, 269, 898, 729, 1287, 10645, 676, 519, 5053, 7276, 607, 851, 540, 1325, 3279, 4993, 538, 519, 3677, 8513, 540, 1715, 8050, 269, 1325, 3279, 4993, 2968, 513, 851, 540, 6792, 538, 476, 9264, 272, 1739, 922, 3811, 2112, 585, 7115, 267, 855, 729, 524, 17660, 547, 519, 2136, 2276, 538, 476, 7277, 279, 1310, 519, 11204, 1700, 13563, 2782, 269, 634, 7262, 6712, 540, 1325, 3279, 4993, 729, 6896, 607, 519, 3557, 540, 4993, 267, 799, 729, 15861, 607, 519, 476, 4029, 560, 1533, 593, 5181, 476, 280, 267, 476, 6977, 271, 269, 634, 4993, 7108, 27538, 4358, 538, 476, 7277, 279, 3366, 547, 10565, 1514, 543, 15295, 2242, 267, 609, 1804, 8397, 11776, 689, 519, 7532, 543, 13383, 609, 606, 18913, 2804, 22820, 563, 30210, 781, 3309, 11585, 9832, 689, 519, 23683, 21600, 538, 519, 7532, 547, 519, 7414, 11076, 538, 519, 7178, 267, 689, 519, 2699, 6229, 1700, 291, 537, 6921, 553, 535, 597, 7733, 540, 519, 22070, 267, 547, 519, 7720, 329, 1511, 19164, 2127, 538, 519, 22703, 269, 634, 4099, 540, 519, 1533, 568, 13856, 676, 519, 6239, 9503, 267, 513, 2101, 6694, 1858, 269, 4993, 3568, 1312, 519, 5207, 1448, 630, 300, 870, 18724, 2284, 264, 543, 519, 9803, 1448, 630, 5719, 987, 9503, 264, 538, 519, 733, 27631, 2136, 2276, 269, 32495, 1389, 616, 1455, 1317, 540, 519, 1533, 781, 4087, 2059, 519, 7414, 23580, 540, 9605, 269, 6168, 476, 4391, 267, 1822, 16767, 616, 6592, 1142, 1032, 267, 855, 1034, 616, 1932, 1507, 547, 581, 5433, 269, 667, 3754, 814, 849, 1831, 513, 8037, 4183, 563, 30210, 814, 1185, 606, 11999, 3310, 593, 2518, 2442, 2528, 1813, 547, 1373, 519, 4332, 2897, 540, 519, 4670, 2872, 267, 519, 20361, 773, 4831, 322, 11857, 267, 519, 5769, 267, 543, 519, 2123, 2780, 269, 634, 1533, 781, 4346, 568, 10704, 593, 8804, 267, 2229, 267, 1483, 10040, 2533, 267, 2029, 267, 543, 3318, 267, 3621, 543, 2930, 1870, 2533, 282, 1927, 16030, 476, 6812, 260, 540, 519, 1533, 781, 4346, 269, 8422, 540, 519, 1158, 781, 4102, 476, 736, 10909, 676, 8907, 267, 4258, 341, 1258, 267, 11197, 267, 543, 21025, 5184, 267, 616, 2212, 32483, 1229, 538, 519, 1533, 269, 4014, 1152, 476, 272, 269, 276, 260, 540, 519, 1533, 781, 4346, 267, 4993, 781, 6683, 2872, 814, 519, 5207, 3977, 540, 1022, 772, 2529, 269, 1533, 269, 1403, 621, 941, 513, 2197, 267, 4993, 1131, 581, 519, 476, 278, 628, 4102, 4346, 538, 519, 1158, 663, 519, 476, 3374, 628, 1034, 29245, 563, 7246, 297, 3036, 16275, 25765, 5442, 595, 3201, 9281, 3036, 301, 8656, 912, 299, 657, 13353, 568, 835, 540, 519, 1158, 781, 7740, 540, 2923, 267, 1870, 267, 543, 3486, 4123, 269, 898, 568, 519, 2034, 1034, 1790, 641, 592, 748, 2749, 538, 519, 2136, 2276, 269, 898, 568, 849, 519, 1753, 547, 12021, 5238, 8720, 513, 3376, 2039, 540, 3872, 543, 3318, 4610, 267, 543, 621, 568, 835, 540, 519, 1034, 8101, 2804, 9817, 540, 519, 2136, 2276, 269, 11968, 13353, 630, 663, 922, 21035, 8664, 264, 1291, 519, 1158, 538, 6721, 9913, 971, 607, 5163, 5961, 267, 8613, 267, 543, 6592, 2575, 563, 26596, 17630, 18795, 538, 519, 3665, 5045, 540, 4993, 593, 519, 8473, 609, 6792, 269, 634, 2749, 814, 5195, 540, 17822, 543, 513, 1297, 540, 772, 2529, 269, 4108, 6703, 607, 1134, 607, 519, 1158, 781, 1668, 5006, 2244, 8473, 15385, 269, 898, 568, 1634, 607, 834, 1492, 4332, 2897, 540, 4993, 257, 2094, 621, 729, 519, 1101, 3864, 2244, 6420, 543, 519, 1101, 3864, 11175, 538, 1459, 6377, 4993, 269, 4014, 621, 568, 513, 1804, 2749, 267, 5842, 17630, 3085, 1405, 7854, 22071, 540, 1360, 1082, 1804, 14078, 269, 5502, 519, 2749, 781, 4346, 7361, 12346, 593, 2475, 8878, 543, 4108, 5829, 6080, 267, 9235, 267, 543, 930, 3486, 4123, 269, 898, 568, 1753, 547, 513, 1297, 540, 5238, 540, 2362, 1565, 267, 1519, 519, 2160, 540, 4993, 267, 5842, 17630, 267, 519, 2160, 540, 5842, 17630, 267, 5842, 17630, 3557, 2160, 267, 1715, 18662, 540, 15339, 5071, 267, 543, 8672, 700, 5448, 9294, 732, 928, 2160, 563, 26596, 8277, 729, 8547, 593, 5437, 476, 3066, 267, 476, 10082, 278, 267, 607, 835, 540, 519, 1101, 10034, 538, 519, 5053, 12733, 540, 715, 826, 9366, 4993, 267, 799, 2663, 2968, 1325, 3279, 4993, 269, 634, 4884, 540, 5842, 8277, 6039, 476, 7277, 280, 268, 6977, 272, 607, 519, 1101, 1533, 3854, 267, 950, 4993, 6591, 1533, 3125, 538, 476, 6977, 271, 269, 2991, 811, 982, 476, 5611, 1296, 607, 606, 6694, 4099, 267, 5842, 8277, 8057, 1813, 547, 3747, 585, 8027, 689, 7980, 13059, 689, 2622, 2782, 4083, 267, 607, 1134, 607, 519, 2749, 781, 10728, 7269, 3609, 1282, 519, 476, 4198, 271, 338, 543, 476, 3422, 271, 338, 607, 621, 24509, 539, 1804, 13980, 540, 2244, 1858, 799, 5280, 2333, 922, 2551, 269, 1635, 519, 476, 1960, 271, 338, 267, 5842, 8277, 781, 4087, 1369, 519, 1287, 28967, 4040, 2199, 2029, 2872, 12236, 519, 2749, 519, 28215, 13317, 540, 28541, 9503, 267, 543, 621, 14747, 1896, 7986, 2029, 3549, 1519, 23489, 7010, 543, 595, 8646, 7010, 269, 5842, 8277, 568, 1753, 547, 519, 2817, 670, 15736, 13477, 781, 5842, 8277, 1744, 10225, 538, 1840, 547, 11683, 13477, 17502, 1356, 781, 5842, 8277, 32495, 1389, 267, 607, 1134, 607, 5842, 8277, 3557, 2160, 563, 26596, 12770, 568, 513, 2442, 3486, 15805, 10278, 12021, 585, 922, 5898, 267, 14421, 641, 13457, 1166, 1515, 267, 14869, 12902, 15113, 267, 543, 3235, 937, 545, 3575, 540, 16972, 543, 2413, 6189, 269, 634, 2749, 568, 11303, 676, 1216, 593, 1614, 5011, 543, 814, 1082, 4583, 21056, 267, 971, 607, 519, 13642, 19835, 15167, 267, 1325, 13906, 23432, 6816, 267, 20066, 540, 20963, 8551, 267, 519, 10814, 6517, 543, 8265, 322, 1513, 267, 3213, 527, 18975, 267, 543, 25590, 520, 1144, 269, 634, 2749, 568, 1134, 1634, 585, 922, 2451, 26310, 6214, 543, 922, 3309, 2551, 267, 1519, 1804, 543, 1279, 28004, 7489, 1977, 543, 10349, 2950, 269, 898, 568, 519, 1034, 29822, 20651, 2101, 2749, 538, 4993 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1692, 547, 3503, 513, 19080, 585, 3194, 7433, 6201, 454, 18455, 513, 2875, 267, 596, 1058, 917, 875, 547, 2328, 513, 5098, 585, 1382, 1957, 1806, 1317, 513, 5098, 786, 2141, 581, 693, 519, 4295, 540, 1034, 4081, 4574, 602, 596, 786, 2328, 2429, 707, 4081, 1272, 269, 589, 5098, 568, 513, 3948, 602, 9356, 519, 4661, 602, 596, 1118, 538, 513, 1382, 1957, 269, 898, 568, 513, 4845, 602, 2306, 519, 3409, 540, 513, 1382, 1957, 602, 666, 581, 31713, 676, 1866, 268, 1603, 22487, 269, 15635, 12975, 563, 288, 5098, 585, 513, 1382, 1957, 568, 2356, 835, 610, 1079, 5220, 602, 2408, 538, 519, 1101, 5037, 540, 513, 1382, 1957, 543, 789, 1459, 519, 4661, 540, 519, 1957, 269, 634, 824, 2694, 540, 519, 1957, 610, 519, 1560, 6799, 2963, 538, 606, 6896, 1259, 538, 5885, 519, 3409, 610, 7479, 8172, 3988, 827, 519, 7954, 540, 519, 7664, 602, 568, 4843, 538, 519, 1957, 563, 21980, 3894, 593, 875, 547, 2328, 513, 5098, 585, 1382, 1957, 1806, 454, 2304, 2500, 5098, 585, 1382, 1957, 1806, 1058, 581, 2312, 543, 1808, 538, 17548, 519, 3483, 540, 513, 1382, 1957, 269, 901, 568, 1317, 621, 31234, 267, 1852, 543, 2497, 519, 4661, 540, 519, 3003, 1957, 269, 4595, 596, 616, 1603, 513, 5098, 585, 11001, 1957, 1806, 267, 596, 1058, 2097, 909, 609, 513, 3280, 5098, 602, 666, 3362, 581, 6956, 676, 519, 5467, 269, 898, 1058, 849, 581, 2178, 267, 4277, 543, 3246, 4287, 547, 519, 5467, 563, 303, 1157, 4277, 3584, 585, 707, 1382, 1957, 1806, 454, 1607, 1058, 2141, 581, 519, 1101, 1900, 538, 1603, 519, 4513, 585, 707, 1382, 1957, 1806, 269, 901, 568, 1317, 875, 596, 2328, 1169, 2460, 540, 519, 3732, 1957, 786, 4096, 593, 519, 1888, 602, 596, 786, 581, 1603, 519, 1957, 593, 269, 1717, 267, 972, 616, 2665, 950, 596, 949, 723, 18825, 3116, 6430, 519, 1888, 540, 707, 1382, 1957, 563, 18439, 519, 1888, 454, 18698, 519, 1888, 540, 707, 1382, 1957, 1383, 786, 5512, 596, 547, 7522, 1524, 519, 1641, 602, 519, 1888, 3340, 596, 547, 2232, 610, 8044, 827, 1247, 1603, 519, 1382, 1957, 1383, 269, 1280, 3236, 267, 972, 616, 1082, 3344, 602, 1058, 581, 2808, 950, 1603, 513, 1382, 1957, 1383, 593, 5904, 269, 1358, 1331, 3301, 267, 8800, 543, 5752, 269, 1717, 267, 891, 616, 22394, 3584, 543, 789, 3112, 1118, 2178, 519, 4513, 585, 1382, 1957, 1806, 269, 11048, 267, 513, 1888, 899, 519, 1198, 602, 19378, 22868, 1185, 593, 2413, 2872, 540, 5904, 568, 20501, 543, 666, 4061, 581, 1031, 547, 25666, 513, 5098, 540, 513, 1382, 1957, 1383, 563, 15447, 519, 2186, 540, 1382, 1957, 1806, 602, 596, 616, 1603, 454, 1607, 14122, 6616, 519, 3483, 540, 519, 1957, 543, 922, 5497, 5304, 269, 15394, 267, 16929, 3651, 1382, 4574, 855, 596, 666, 3442, 519, 2186, 540, 4574, 547, 2328, 950, 1603, 1382, 1957, 1806, 269, 898, 568, 1271, 547, 917, 519, 2186, 540, 513, 1382, 1957, 1383, 602, 596, 616, 1603, 1317, 891, 786, 14320, 1764, 593, 707, 5098, 269, 1280, 3236, 267, 950, 1603, 513, 5098, 585, 513, 10388, 1382, 1957, 1383, 267, 707, 3483, 568, 547, 1459, 519, 4661, 4553, 676, 2963, 585, 5885, 519, 3409, 269, 1280, 513, 10855, 1382, 1957, 1383, 267, 513, 5098, 1058, 1683, 513, 6609, 540, 1945, 547, 513, 2016, 5304, 1895, 563, 2237, 1524, 513, 5098, 602, 6257, 519, 1382, 1788, 454, 288, 1382, 1957, 568, 2854, 1310, 10647, 513, 1382, 269, 4475, 267, 513, 5098, 585, 513, 1382, 1058, 4766, 519, 1382, 1788, 538, 513, 5618, 6073, 269, 898, 1058, 2995, 3988, 1946, 519, 1957, 610, 1788, 568, 1271, 543, 1946, 3988, 1058, 1416, 563, 8266, 1524, 15852, 2963, 952, 621, 6818, 454, 7628, 707, 1382, 267, 596, 949, 723, 2097, 2066, 15852, 2963, 269, 5903, 621, 1524, 543, 17412, 621, 547, 1331, 621, 538, 707, 5098, 543, 1287, 2097, 909, 609, 513, 5098, 602, 2488, 606, 7650, 540, 519, 1382, 269, 2659, 5098, 1058, 581, 513, 13801, 5758, 540, 519, 1344, 610, 4661, 602, 786, 581, 1500, 538, 519, 1382, 1957, 1383, 268, 9623, 1606, 330, 1571, 7456, 756, 18192, 339, 12975, 563, 301, 5535, 1524, 267, 12172, 543, 13217, 707, 5098, 454, 12179, 7853, 945, 6487, 875, 547, 2328, 513, 5098, 585, 1382, 1957, 1806, 6487, 602, 513, 1434, 5098, 568, 7522, 267, 2312, 543, 15568, 269, 898, 1058, 1331, 1152, 1018, 786, 581, 5941, 538, 519, 1957, 269, 4475, 267, 7522, 1524, 707, 5098, 547, 2327, 602, 621, 6645, 3988, 1152, 1018, 786, 581, 4988, 538, 519, 1957, 269, 901, 6087, 3988, 547, 917, 2436, 519, 1382, 1957, 1383, 2488, 519, 1344, 610, 1239, 602, 789, 616, 3168, 585, 563, 3725, 341, 1047, 707, 5098, 9935, 454, 29490, 3314, 602, 596, 798, 711, 723, 547, 2328, 606, 6207, 5098, 269, 2659, 5098, 1058, 581, 16271, 547, 2242, 607, 596, 2328, 707, 1382, 1957, 1383, 268, 22559, 269, 1263, 1501, 4877, 584, 16746, 12975, 269, 1403, 707, 6644, 610, 4287, 2242, 607, 596, 2328, 519, 1957, 267, 23590, 707, 5098, 9935, 269, 4475, 267, 556, 22345, 5098, 11179, 543, 2141, 5635, 621, 609, 519, 1382, 1957, 1383, 602, 596, 616, 1603, 547, 1118, 3617, 2242, 950, 2556, 269, 2991, 11264, 707, 1957, 267, 556, 23724, 527, 707, 5098, 547, 3313, 2436, 621, 2115, 14469, 563, 4322, 5439, 786, 948, 596, 917, 875, 547, 2328, 513, 5098, 585, 1382, 1957, 1806, 454, 288, 1434, 5098, 568, 711, 2653, 547, 2328, 1317, 621, 3340, 596, 547, 2263, 707, 1888, 267, 1589, 543, 5659, 519, 2139, 2963, 547, 1489, 621, 269, 1717, 267, 609, 3732, 519, 4513, 596, 666, 3362, 917, 875, 1434, 519, 4513, 585, 1382, 1957, 1806, 1058, 581, 2854, 563, 2080, 616, 1806, 540, 519, 4513, 585, 1114, 3584, 540, 1382, 1957, 1806, 602, 1058, 3391, 596, 538, 1603, 707, 5098, 912, 7078, 1948, 476, 272, 454, 307, 8084, 281, 634, 2290, 16644, 843, 8889, 540, 3624, 11129, 547, 581, 20328, 454, 763, 3974, 281, 634, 9837, 540, 519, 835, 30512, 3609, 540, 3624, 729, 547, 948, 538, 9013, 2551, 2208, 269, 1717, 267, 621, 814, 3361, 2942, 543, 26516, 4539, 602, 1331, 513, 5786, 538, 4074, 3196, 267, 10714, 532, 1480, 2924, 267, 2333, 538, 10172, 2551, 267, 543, 19261, 538, 4008, 2551, 269, 4475, 267, 713, 3609, 11129, 547, 581, 20328, 547, 2087, 519, 1699, 3510, 538, 3624, 563, 7078, 1948, 476, 273, 454, 307, 8084, 281, 14579, 22707, 602, 4422, 547, 4000, 568, 711, 2500, 454, 763, 3974, 281, 14579, 5351, 602, 4422, 547, 3979, 2477, 9292, 1206, 873, 543, 621, 4061, 11129, 547, 581, 19944, 4240, 2094, 519, 2259, 814, 2799, 519, 13438, 540, 1034, 3979, 2477, 547, 9304, 2770, 551, 6672, 267, 10637, 267, 3540, 19727, 543, 13313, 563, 7078, 1948, 476, 274, 454, 307, 8084, 281, 631, 15097, 11129, 547, 581, 3656, 1242, 454, 763, 3974, 281, 1703, 616, 1896, 3156, 540, 17089, 602, 1331, 8156, 29847, 267, 2860, 543, 20560, 2589, 269, 13751, 1944, 922, 946, 538, 519, 2136, 2276, 786, 723, 1390, 2640, 585, 519, 2564, 5823, 2094, 621, 786, 1450, 13500, 547, 1569, 621, 609, 8897, 563, 23005, 1456, 2436, 707, 5098, 585, 1382, 1957, 1383, 568, 2178, 454, 12179, 7853, 945, 14509, 707, 5098, 786, 2995, 2436, 596, 917, 875, 547, 2328, 513, 5098, 585, 1382, 1957, 1806, 4470, 593, 922, 4222, 543, 7145, 269, 26023, 267, 972, 616, 2055, 602, 596, 991, 547, 2307, 547, 3313, 952, 596, 723, 513, 2178, 5098, 585, 707, 1382, 1957, 1383, 268, 3367, 811, 1934, 563, 268, 6496, 707, 5098, 2626, 519, 2243, 610, 1603, 5401, 888, 2791, 1058, 556, 22345, 707, 5098, 543, 519, 2243, 547, 3313, 952, 621, 4267, 519, 2243, 5401, 4628, 269, 1403, 621, 1281, 711, 267, 27682, 621, 563, 268, 1772, 519, 5098, 1808, 888, 29995, 267, 513, 22394, 5098, 3112, 1118, 513, 2178, 4661, 269, 3680, 513, 5098, 602, 2882, 1913, 15055, 1434, 610, 3811, 543, 3079, 1331, 811, 1808, 1913, 563, 268, 1772, 707, 5098, 11722, 762, 888, 763, 2990, 602, 513, 5098, 3217, 1058, 581, 4161, 762, 610, 835, 602, 1866, 666, 28586, 269, 589, 3948, 602, 3112, 581, 9969, 7517, 609, 568, 711, 513, 5098, 269, 898, 568, 3274, 513, 5758, 540, 606, 4661, 610, 513, 3948, 540, 5013, 563, 268, 6496, 707, 5098, 1780, 519, 968, 810, 1018, 892, 2243, 888, 288, 5098, 602, 5012, 547, 519, 968, 810, 1018, 9495, 2243, 1310, 2542, 621, 568, 711, 2178, 543, 2500, 269, 4475, 267, 1118, 621, 20501, 610, 1921, 621, 609, 513, 3677, 3390, 563, 268, 6496, 707, 5098, 1780, 519, 968, 6011, 543, 1946, 892, 2243, 888, 2252, 1310, 2542, 707, 5098, 519, 1101, 2243, 602, 835, 12134, 568, 968, 6011, 2507, 610, 1946, 2507, 5608, 1287, 621, 1281, 711, 1683, 5583, 547, 519, 5467, 543, 621, 1223, 581, 1930, 8694, 269, 4475, 267, 1118, 621, 20501, 610, 1039, 1945, 547, 1118, 621, 20501, 547, 519, 5304, 563, 268, 1772, 707, 5098, 6462, 676, 707, 1382, 1957, 1383, 888, 7312, 5098, 1058, 581, 6462, 676, 519, 1964, 540, 519, 1382, 1957, 1383, 1510, 29595, 269, 1403, 596, 723, 513, 5098, 602, 1281, 711, 960, 5265, 609, 519, 1560, 267, 1689, 621, 269, 5457, 602, 513, 5098, 1058, 711, 581, 6207, 543, 621, 1058, 581, 15428, 9935, 865, 602, 621, 666, 960, 2687, 547, 707, 1888, 543, 4661, 269, 5269, 2386, 602, 707, 5098, 9356, 519, 1919, 602, 596, 4857, 607, 596, 1376, 1603, 519, 1382, 1957, 1383, 563, 21206, 4808, 593, 875, 547, 2328, 513, 5098, 585, 1382, 1957, 1806, 454, 268, 2659, 5098, 1058, 5512, 596, 547, 1832, 519, 4661, 540, 513, 1382, 1957, 1383, 5059, 269, 4475, 267, 798, 711, 946, 22394, 1913, 538, 1603, 707, 5098, 454, 268, 3680, 2930, 1893, 8259, 950, 1603, 513, 2930, 1382, 1957, 1383, 454, 268, 5269, 2386, 602, 707, 5098, 1281, 811, 982, 3045, 23395, 519, 1888, 540, 707, 1382, 1957, 1383, 610, 3274, 17548, 513, 1249, 563, 268, 3680, 8471, 21520, 602, 786, 936, 13678, 680, 1518, 513, 1950, 3390, 563, 23921, 948, 609, 519, 4513, 585, 1382, 1957, 1806, 888, 2252, 596, 991, 948, 609, 707, 519, 4513, 585, 1382, 1957, 1806, 267, 2911, 547, 721, 2221, 269, 1411, 949, 849, 3643, 519, 1753, 2985, 540, 938, 3896, 585, 811, 1344, 3823, 938, 1603, 2533, 269, 17968, 267, 1832, 2542, 585, 811, 4808, 593, 875, 547, 2328, 513, 5098, 585, 1382, 1957, 1806, 543, 3732, 5098, 593, 938, 5816, 563, 1692, 547, 3503, 513, 11660, 3194, 7433, 454, 1607, 2376, 568, 513, 3391, 547, 948, 596, 917, 875, 547, 2328, 513, 3621, 1382, 1957, 602, 568, 11141, 609, 8897, 269, 634, 2832, 540, 513, 1382, 1957, 568, 547, 2995, 1866, 827, 1808, 1239, 596, 723, 10356, 543, 1018, 621, 1797, 538, 519, 2796, 540, 1382, 563, 763, 4808, 585, 1603, 3621, 1382, 4574, 616, 14461, 543, 1360, 1114, 689, 1346, 1031, 538, 5399, 1382, 610, 2296, 6249, 1957, 269, 30052, 519, 1957, 1590, 15666, 547, 1697, 946, 540, 2296, 1893, 269, 3958, 267, 621, 814, 547, 581, 2854, 538, 513, 13801, 543, 2312, 6073, 538, 1931, 547, 2327, 3988, 1174, 1018, 596, 723, 5645, 856, 543, 875, 596, 723, 5645, 621, 856, 563, 2005, 568, 1271, 607, 596, 2328, 513, 3621, 1382, 1957, 267, 547, 1174, 519, 2489, 3898, 1031, 269, 901, 666, 581, 12006, 607, 5205, 912, 268, 24764, 1568, 454, 19522, 593, 875, 547, 2328, 513, 3621, 1382, 1957, 454, 4089, 26333, 630, 842, 3174, 267, 7493, 3092, 4700, 1590, 581, 10704, 269, 634, 1560, 540, 1169, 3296, 2115, 547, 1246, 5612, 2630, 519, 16144, 269, 3962, 3296, 1058, 711, 581, 3323, 593, 513, 1007, 2985, 269, 1403, 972, 568, 513, 3296, 602, 7475, 1259, 1524, 513, 2985, 267, 621, 1058, 5612, 581, 4553, 676, 519, 1985, 16144, 3296, 593, 602, 1482, 2985, 563, 288, 2489, 267, 1271, 4341, 596, 991, 547, 7703, 538, 2247, 568, 602, 519, 1957, 1058, 1867, 1945, 2944, 538, 519, 2250, 269, 4475, 267, 596, 1590, 1060, 519, 1957, 538, 2250, 13029, 630, 26200, 267, 729, 264, 1247, 519, 1459, 13029, 1058, 1152, 581, 1031, 585, 17548, 3932, 610, 2489, 3074, 563, 27269, 267, 519, 1459, 13029, 568, 1031, 538, 519, 10390, 267, 4985, 543, 17564, 7886, 269, 634, 1957, 568, 9277, 547, 1224, 607, 2239, 1141, 519, 2278, 4330, 2164, 5833 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9596, 519, 2953, 1259, 547, 3180, 707, 1007, 13176, 267, 543, 875, 547, 4188, 519, 13176, 779, 2990, 547, 1655, 1404, 1114, 6163, 540, 1193, 636, 2719, 267, 9416, 16116, 610, 824, 13176, 4730, 2553, 563, 11764, 1067, 32733, 4065, 454, 288, 4015, 540, 2606, 7044, 585, 1565, 875, 547, 1404, 519, 13176, 543, 1831, 513, 4224, 28588, 269, 715, 1638, 320, 7329, 683, 4302, 1035, 7898, 639, 31316, 756, 639, 9038, 340, 3385, 269, 966, 652, 756, 4918, 552, 340, 943, 732, 10177, 683, 4302, 269, 6715, 518, 642, 1853, 571, 14275, 320, 2881, 335, 529, 267, 693, 9389, 2995, 639, 1775, 659, 592, 529, 27394, 269, 1548, 568, 513, 31361, 4580, 543, 267, 585, 602, 2339, 267, 1175, 1018, 616, 891, 968, 325, 28905, 892, 1022, 1811, 286, 901, 3992, 6941, 891, 538, 1469, 563, 8794, 519, 674, 4958, 4580, 454, 1432, 568, 513, 31361, 4580, 543, 267, 585, 602, 2339, 267, 1175, 1018, 616, 891, 968, 325, 28905, 892, 1022, 1811, 286, 901, 3992, 6941, 891, 538, 1469, 563, 8512, 338, 540, 519, 13176, 454, 1432, 616, 519, 2694, 602, 1118, 909, 513, 13176, 543, 875, 798, 789, 782, 960, 888, 1692, 547, 946, 606, 5907, 7113, 518, 454, 7476, 707, 13176, 538, 19820, 1210, 606, 5907, 7113, 518, 2507, 596, 1810, 1406, 991, 547, 723, 3501, 12334, 547, 19820, 707, 13176, 9985, 563, 14738, 1688, 13176, 4480, 454, 5804, 1193, 636, 2719, 543, 726, 31902, 998, 547, 23510, 543, 9416, 1790, 10107, 267, 649, 3580, 3382, 621, 782, 563, 29381, 1688, 13176, 4480, 454, 9596, 875, 547, 1404, 513, 23260, 543, 4020, 22334, 563, 294, 543, 667, 2101, 13176, 22334, 454, 1692, 547, 1404, 519, 717, 543, 667, 2101, 22334, 269, 0, 7072, 547, 700, 308, 3041, 15465, 7896, 11473, 454, 289, 582, 17563, 6087, 596, 547, 1711, 513, 7762, 609, 1100, 1880, 10724, 1565, 1995, 543, 2936, 7317, 5188, 1063, 519, 3593, 543, 707, 7762, 269, 901, 3872, 3381, 9727, 875, 547, 1711, 513, 2241, 7762, 538, 10897, 675, 543, 1205, 621, 4712, 547, 979, 269, 11374, 713, 3381, 2636, 596, 547, 4685, 883, 15465, 7896, 543, 946, 3684, 1565, 547, 4001, 707, 7762, 1480, 5872, 998, 1620, 2067, 1893, 269, 21541, 707, 7762, 547, 1349, 519, 3169, 1344, 596, 991, 547, 1184, 676, 27378, 519, 3593, 779, 703, 757, 543, 4466, 519, 9988, 538, 519, 4845, 269, 0, 22517, 24031, 12046, 814, 1831, 519, 18388, 5320, 540, 519, 2063, 1079, 1296, 540, 519, 6855, 607, 3025, 814, 8947, 2081, 547, 1832, 741, 4761, 1949, 2178, 547, 1065, 601, 13044, 268, 866, 269, 1656, 1034, 1004, 1174, 602, 938, 4761, 1949, 616, 899, 519, 22651, 540, 519, 1560, 779, 2281, 267, 8031, 267, 543, 8219, 269, 589, 2178, 4761, 1062, 786, 1065, 601, 519, 10782, 540, 9190, 28164, 865, 3968, 666, 581, 14284, 693, 782, 3790, 563, 3412, 22861, 640, 2152, 666, 2039, 689, 519, 8886, 908, 12119, 14711, 12176, 547, 811, 3978, 2152, 899, 26679, 269, 3776, 4761, 1949, 666, 1831, 18604, 609, 2799, 2566, 267, 4057, 2732, 267, 543, 3668, 540, 3207, 269, 3600, 17815, 666, 948, 1521, 513, 2647, 3099, 540, 2175, 602, 1223, 14020, 519, 4761, 1062, 676, 13326, 519, 1062, 3294, 269, 3600, 17815, 666, 2333, 2699, 543, 3043, 1591, 12523, 267, 570, 16052, 12523, 543, 3986, 10408, 1599, 585, 2949, 9716, 563, 1432, 519, 3194, 590, 904, 454, 6097, 547, 513, 476, 1001, 271, 1353, 593, 3600, 17815, 543, 21210, 3525, 1637, 267, 968, 514, 1840, 547, 519, 1387, 2471, 545, 1198, 540, 22591, 267, 606, 2810, 1297, 540, 2090, 723, 7152, 602, 22591, 2126, 666, 1852, 8238, 5669, 8229, 1062, 3252, 971, 607, 1973, 2604, 7939, 267, 838, 327, 3307, 518, 744, 9536, 328, 11005, 267, 543, 4761, 25244, 269, 4014, 1152, 513, 3908, 1297, 540, 6417, 2090, 723, 12290, 519, 12117, 540, 22591, 267, 2810, 4791, 2963, 1489, 602, 661, 288, 2126, 568, 2500, 585, 1585, 6375, 1670, 3676, 1519, 13027, 4713, 267, 5563, 267, 16991, 3676, 543, 6375, 32759, 1606, 344, 526, 27689, 3034, 307, 805, 519, 20531, 454, 7197, 13416, 1072, 1416, 4648, 1521, 519, 2589, 2864, 982, 519, 5817, 2014, 540, 519, 2068, 269, 21210, 2152, 666, 581, 1644, 547, 6197, 5079, 630, 335, 3233, 6484, 267, 3668, 540, 3635, 1070, 610, 606, 4598, 547, 13802, 610, 5312, 10194, 5563, 269, 1230, 14846, 2564, 2126, 585, 606, 16991, 2068, 971, 607, 11959, 610, 1945, 811, 4049, 971, 607, 12263, 3335, 3322, 13310, 6646, 6322, 693, 1139, 7675, 519, 4761, 1062, 269, 2755, 713, 666, 581, 5363, 538, 5883, 519, 1928, 267, 621, 1281, 711, 10826, 519, 3390, 269, 1656, 1577, 779, 711, 7340, 519, 2427, 2360, 602, 666, 2097, 609, 13310, 6646, 563, 1692, 3600, 17815, 2052, 6435, 454, 10907, 17815, 666, 948, 519, 6375, 665, 20234, 668, 2213, 676, 15725, 4761, 1599, 543, 8156, 519, 5817, 2014, 540, 519, 2068, 269, 2659, 1035, 1575, 9417, 584, 626, 786, 9585, 713, 676, 4227, 519, 2589, 543, 3339, 1944, 519, 1560, 779, 4761, 3210, 269, 2659, 8238, 5669, 8401, 1062, 568, 25623, 998, 1808, 1035, 1575, 2002, 338, 267, 799, 5012, 519, 4761, 1062, 547, 4431, 14013, 269, 8617, 22591, 5574, 666, 581, 6225, 585, 1346, 7092, 689, 513, 3099, 540, 4761, 2152, 1519, 11959, 267, 10447, 267, 27131, 12263, 267, 543, 824, 897, 1091, 543, 5563, 563, 2252, 596, 6560, 609, 4761, 10638, 543, 10093, 1406, 1336, 2347, 8323, 998, 6527, 610, 824, 6197, 2242, 267, 2911, 547, 707, 1035, 1575, 9417, 584, 626, 827, 707, 2589, 543, 666, 948, 3313, 519, 5817, 2014, 540, 707, 3390, 998, 513, 9488, 1072, 1686, 543, 1287, 960, 609, 596, 547, 1020, 513, 2126, 1544, 602, 1223, 1331, 22591, 607, 1134, 607, 16909, 3797, 269, 6787, 621, 779, 30414, 12119, 11959, 610, 1945, 811, 3978, 267, 1810, 1406, 7227, 1776, 1554, 282, 1289, 543, 1118, 707, 22591, 13393, 2221, 256, 0, 5475, 5086, 20312, 1254, 267, 519, 5833, 5086, 568, 476, 7367, 5232, 269, 1548, 568, 519, 2268, 540, 519, 5086, 602, 729, 20312, 624, 539, 888, 5475, 5086, 20312, 1254, 267, 519, 5833, 5086, 568, 476, 7367, 4501, 502, 269, 1215, 1082, 5232, 568, 519, 5086, 602, 729, 20312, 624, 539, 888, 1432, 568, 519, 5086, 263, 514, 5232, 264, 5833, 950, 5086, 20312, 10725, 4070, 568, 1031, 547, 20312, 624, 606, 5086, 540, 476, 31079, 4501, 502, 15017, 763, 20312, 624, 539, 5086, 540, 799, 540, 519, 1739, 7285, 263, 514, 5232, 264, 568, 8650, 286, 0, 23737, 519, 4984, 267, 4654, 267, 1148, 543, 6189, 267, 2732, 543, 15976, 540, 519, 1004, 540, 2342, 563, 292, 2202, 814, 476, 280, 269, 10463, 260, 540, 519, 1158, 781, 2551, 267, 543, 519, 1004, 540, 2342, 3717, 1585, 4654, 267, 2024, 1114, 10764, 267, 723, 1114, 3029, 540, 6189, 267, 543, 8661, 1114, 15976, 563, 9824, 580, 542, 281, 8567, 568, 519, 2101, 4984, 538, 2342, 269, 1703, 616, 1082, 27734, 267, 12356, 267, 543, 7642, 3262, 2429, 519, 11782, 563, 299, 16722, 281, 4658, 3717, 2296, 267, 5053, 267, 14082, 267, 3943, 267, 7969, 267, 23577, 545, 543, 824, 4654, 563, 9209, 543, 15339, 281, 3600, 24227, 267, 519, 2051, 657, 572, 636, 267, 519, 18533, 540, 6424, 267, 634, 1589, 518, 267, 519, 661, 858, 601, 13486, 267, 8262, 5484, 267, 519, 623, 13453, 18975, 543, 519, 3933, 320, 23436, 616, 930, 540, 519, 3864, 25704, 540, 1148, 543, 6189, 563, 291, 2884, 281, 29968, 267, 3165, 267, 5779, 267, 12277, 543, 10683, 2472, 616, 519, 20013, 1426, 538, 2342, 563, 293, 652, 11040, 281, 17417, 8661, 1312, 3909, 543, 9702, 15976, 899, 8285, 267, 14914, 267, 2961, 333, 2526, 267, 543, 5487, 8751, 520, 2088, 269, 0, 27409, 19508, 3620, 341, 6403, 13700, 24874, 25245, 9218, 910, 2879, 19508, 3620, 341, 6403, 13700, 454, 30547, 540, 6196, 25245, 2262, 834, 338, 333, 19508, 3620, 341, 6403, 13700, 257, 538, 2296, 563, 2026, 3989, 676, 519, 7581, 553, 2421, 1299, 966, 580, 325, 1380, 517, 6196, 25245, 547, 2296, 8675, 912, 268, 7755, 269, 815, 2879, 329, 6759, 327, 341, 6403, 13700, 267, 13067, 269, 476, 3199, 563, 303, 6372, 2196, 545, 30115, 538, 8479, 518, 674, 3578, 1046, 281, 413, 505, 489, 413, 504, 378, 413, 505, 483, 268, 413, 504, 376, 413, 504, 351, 413, 505, 479, 413, 505, 493, 413, 504, 365, 454, 21930, 518, 674, 3578, 1046, 2196, 525, 941, 1031, 689, 476, 279, 628, 547, 476, 1321, 628, 5553, 538, 22778, 807, 543, 741, 18246, 17260, 454, 414, 508, 508, 6423, 782, 1568, 11855, 538, 519, 8675, 454, 17582, 1299, 22439, 11855, 912, 268, 13067, 8270, 340, 1532, 6759, 330, 269, 630, 293, 269, 4083, 4700, 0, 14630, 540, 20520, 454, 299, 3869, 540, 6837, 13595, 10361, 902, 454, 27916, 2610, 3350, 630, 22146, 640, 264, 734, 14532, 347, 344, 866, 628, 2540, 563, 290, 2086, 10428, 267, 7338, 282, 23720, 267, 12138, 454, 17471, 3778, 3848, 454, 272, 269, 9622, 10885, 540, 519, 12942, 4211, 2086, 10428, 11873, 454, 24478, 633, 12780, 17821, 454, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 1260, 14293, 268, 5591, 14216, 29719, 3718, 476, 275, 269, 271, 17821, 563, 19445, 8523, 593, 3135, 454, 9303, 7595, 1473, 2570, 757, 262, 20051, 5600, 267, 6762, 24824, 267, 14022, 27895, 267, 5177, 454, 8196, 11147, 540, 6753, 538, 6019, 14022, 27895, 543, 13560, 547, 1020, 10923, 4656, 538, 1053, 540, 519, 23720, 1920, 779, 1686, 563, 24171, 23720, 267, 6762, 10830, 267, 14022, 27895, 267, 12138, 23720, 267, 1473, 2570, 757, 454, 4407, 7338, 23720, 543, 1010, 1920, 5030, 538, 6762, 24824, 267, 789, 3006, 13984, 10543, 11401, 540, 519, 1473, 2570, 757, 693, 713, 2679, 693, 519, 3723, 540, 519, 14629, 1141, 6301, 9335, 12969, 338, 609, 2904, 7224, 1054, 10003, 269, 1703, 789, 4862, 18007, 1633, 10830, 267, 6276, 670, 12245, 2033, 267, 543, 3627, 21701, 269, 4595, 519, 1530, 1027, 518, 30798, 693, 13259, 648, 344, 1705, 711, 2743, 593, 10732, 10543, 267, 7338, 729, 1863, 547, 3643, 713, 30798, 269, 630, 23613, 1841, 517, 267, 476, 5908, 279, 267, 5292, 269, 476, 272, 267, 533, 269, 476, 2568, 264, 0, 6701, 596, 3168, 585, 606, 2626, 547, 519, 1888, 968, 7617, 6206, 7926, 14118, 10642, 634, 5675, 2986, 808, 305, 305, 570, 13083, 1329, 286, 2108, 286, 1284, 2626, 782, 707, 2055, 693, 519, 3896, 661, 2017, 6275, 628, 16233, 2593, 538, 7121, 281, 1341, 1428, 16373, 18248, 5403, 14313, 1656, 11762, 1280, 1411, 269, 1411, 786, 1265, 519, 2626, 1318, 2630, 563, 307, 13083, 1329, 7150, 602, 646, 1185, 1044, 6766, 676, 1010, 6689, 2833, 540, 519, 2296, 24781, 540, 1937, 806, 1562, 10921, 543, 922, 4683, 5314, 676, 519, 2208, 540, 27257, 267, 543, 1010, 2123, 1995, 540, 8165, 538, 519, 512, 29168, 540, 519, 3689, 2622, 2782, 269, 22818, 1510, 2495, 547, 267, 570, 13083, 1329, 3964, 513, 556, 600, 540, 21050, 525, 543, 804, 545, 1127, 602, 1082, 14810, 5830, 723, 1044, 1739, 2479, 2094, 269, 4432, 1407, 543, 546, 8705, 1407, 267, 10120, 5468, 543, 1391, 338, 2066, 621, 267, 4158, 561, 3581, 543, 959, 559, 690, 625, 20193, 779, 2219, 570, 13083, 1329, 3459, 1603, 634, 12096, 540, 717, 1180, 22223, 1247, 23232, 689, 3742, 3028, 1282, 2622, 2782, 2290, 538, 476, 4489, 278, 269, 634, 1650, 786, 957, 607, 513, 7508, 3095, 267, 5312, 1782, 519, 3504, 1686, 540, 5664, 268, 24160, 1354, 519, 2621, 538, 634, 7083, 540, 519, 681, 902, 563, 1432, 568, 835, 3310, 570, 13083, 1329, 1185, 593, 14810, 1603, 888, 22818, 1510, 2495, 547, 267, 570, 13083, 1329, 3964, 513, 556, 600, 540, 21050, 525, 543, 804, 545, 1127, 602, 1082, 14810, 5830, 723, 1044, 1739, 2479, 2094, 269, 4432, 1407, 543, 546, 8705, 1407, 267, 10120, 5468, 543, 1391, 338, 2066, 621, 267, 4158, 561, 3581, 543, 959, 559, 690, 625, 563, 3963, 1705, 570, 13083, 1329, 2328, 5664, 3047, 888, 2005, 779, 2219, 570, 13083, 1329, 3459, 1603, 634, 12096, 540, 717, 1180, 22223, 1247, 23232, 689, 3742, 3028, 1282, 2622, 2782, 2290, 538, 476, 4489, 278, 269, 634, 1650, 786, 957, 607, 513, 7508, 3095, 267, 5312, 1782, 519, 3504, 1686, 540, 5664, 268, 24160, 1354, 519, 2621, 538, 634, 7083, 540, 519, 681, 902, 563, 12749, 476, 1015, 29980, 12700, 6168, 808, 10611, 10611, 269, 570, 13083, 1329 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 23664, 580, 599, 12061, 568, 519, 8772, 4102, 540, 519, 476, 11260, 4654, 9275, 538, 519, 13372, 563, 3674, 4165, 1664, 513, 2749, 888, 21132, 3854, 568, 5842, 8277, 632, 11370, 523, 822, 16695, 267, 519, 1034, 29245, 4884, 538, 4165, 1664, 269, 634, 11662, 568, 13883, 538, 519, 7262, 3296, 540, 7754, 599, 6816, 543, 10665, 589, 9383, 534, 267, 7167, 714, 543, 594, 5979, 559, 334, 547, 519, 7532, 267, 1247, 6849, 519, 590, 21343, 7256, 547, 519, 7178, 563, 18871, 777, 1388, 1475, 26596, 8277, 632, 11370, 523, 822, 16695, 2008, 27242, 7392, 1475, 306, 836, 30516, 21628, 7754, 331, 531, 1177, 10247, 2008, 1432, 568, 519, 5618, 6609, 540, 4165, 1664, 888, 272, 2433, 513, 882, 545, 610, 1843, 540, 3504, 2053, 269, 476, 273, 320, 2433, 513, 960, 540, 1148, 267, 4062, 540, 11647, 267, 610, 16560, 1843, 1500, 693, 606, 4505, 1974, 543, 2687, 547, 1585, 9821, 4031, 693, 2547, 476, 1911, 1296, 3516, 269, 536, 2433, 513, 14475, 1587, 630, 7945, 607, 606, 18914, 264, 689, 606, 4505, 1974, 269, 25447, 269, 8231, 563, 1692, 798, 594, 1205, 538, 4165, 1664, 888, 309, 807, 589, 9383, 534, 281, 13038, 2011, 6050, 8038, 689, 2494, 10042, 543, 824, 2101, 32387, 538, 519, 13372, 547, 595, 1738, 17427, 543, 519, 17833, 756, 334, 4139, 23076, 538, 589, 9383, 534, 269, 3245, 17833, 756, 334, 267, 1491, 513, 28886, 19564, 547, 519, 17833, 756, 334, 1668, 12363, 543, 11878, 513, 9919, 637, 22084, 547, 4165, 1664, 269, 3245, 17833, 756, 334, 267, 21772, 533, 569, 519, 8905, 547, 17455, 534, 543, 5842, 8277, 632, 11370, 523, 822, 16695, 563, 1432, 568, 3993, 11469, 13372, 888, 1692, 798, 596, 2161, 1434, 6640, 538, 5096, 7776, 888, 3963, 568, 5096, 7776, 1572, 519, 2244, 540, 9153, 888, 300, 2562, 6395, 2793, 302, 568, 1634, 607, 519, 2244, 540, 9153, 1317, 540, 922, 3638, 9265, 543, 2067, 2200, 269, 634, 2244, 6585, 606, 6909, 5763, 689, 2470, 267, 855, 849, 814, 4158, 8090, 540, 5168, 269, 1306, 4767, 267, 1169, 2951, 2401, 945, 6499, 547, 2263, 9650, 3570, 334, 1131, 2307, 827, 3106, 269, 1656, 9650, 3570, 334, 3112, 12404, 519, 5168, 689, 873, 563, 1432, 568, 606, 1383, 540, 513, 13172, 888, 763, 4214, 540, 513, 13172, 568, 513, 3099, 540, 513, 1893, 799, 814, 1114, 12332, 267, 8239, 610, 6863, 982, 519, 3044, 1893, 540, 519, 2528, 269, 1323, 1383, 540, 13172, 568, 22616, 2158, 324, 547, 519, 4457, 1893, 269, 634, 1893, 15116, 547, 519, 2818, 540, 513, 1895, 267, 2523, 538, 606, 13567, 282, 3822, 563, 8489, 568, 9919, 25975, 8457, 9275, 888, 2005, 729, 9275, 538, 519, 2038, 476, 2641, 560, 2540, 676, 10199, 476, 1240, 269, 276, 2929, 1004, 538, 519, 13372, 630, 14588, 5474, 616, 3262, 936, 9456, 10598, 4592, 267, 9919, 25975, 267, 645, 2129, 565, 267, 7262, 2274, 344, 974, 267, 519, 6682, 4925, 11866, 267, 543, 519, 7187, 543, 7262, 5032, 338, 540, 9650, 3570, 334, 1916, 3963, 568, 645, 529, 11535, 711, 513, 13172, 888, 3383, 547, 645, 529, 11535, 10529, 689, 15875, 9919, 25975, 267, 519, 645, 529, 11535, 9275, 538, 645, 2129, 565, 267, 590, 1172, 6359, 528, 267, 10598, 4592, 31970, 267, 2274, 344, 974, 543, 7187, 267, 9456, 267, 25878, 9650, 3570, 334, 543, 2694, 540, 7262, 9650, 3570, 334, 568, 513, 13172, 267, 2495, 621, 949, 3280, 1114, 267, 930, 540, 519, 1913, 949, 711, 581, 5432, 267, 855, 18562, 267, 519, 645, 529, 11535, 10529, 689, 891, 4025, 454, 1432, 568, 594, 4413, 596, 538, 623, 836, 553, 514, 534, 888, 10972, 4779, 22678, 513, 14150, 562, 600, 574, 1170, 269, 7831, 22352, 281, 476, 1708, 272, 268, 5400, 268, 1240, 563, 1432, 568, 513, 2462, 538, 623, 836, 553, 514, 534, 888, 29825, 1341, 8239, 269, 589, 6211, 13471, 28630, 282, 606, 2011, 2389, 697, 267, 2407, 23073, 9290, 5497, 547, 2061, 519, 3262, 540, 17694, 269, 0, 306, 341, 1173, 320, 10741, 267, 543, 519, 15831, 11809, 10216, 4149, 7428, 1784, 1742, 547, 519, 1004, 269, 4653, 11354, 568, 1572, 543, 26916, 711, 1152, 676, 812, 267, 855, 676, 782, 2713, 1919, 538, 519, 1158, 267, 14120, 519, 11802, 540, 1272, 936, 2669, 563, 4002, 519, 14956, 2287, 585, 519, 3791, 543, 2063, 942, 267, 11354, 568, 1572, 267, 950, 590, 341, 1173, 320, 10741, 267, 1100, 835, 1568, 269, 634, 678, 924, 540, 1045, 6327, 540, 11354, 729, 2404, 609, 519, 1101, 12625, 540, 5017, 543, 519, 4098, 540, 519, 6777, 332, 3881, 563, 299, 10225, 267, 8038, 256, 1284, 616, 13110, 540, 5162, 267, 1284, 17696, 513, 2603, 540, 3694, 256, 1411, 8038, 543, 3142, 2699, 11354, 267, 3905, 4832, 256, 11354, 568, 2699, 267, 1018, 1705, 596, 2097, 585, 286, 1411, 616, 593, 513, 536, 760, 617, 267, 593, 513, 3771, 992, 3267, 11354, 568, 2699, 267, 1018, 1705, 596, 3142, 721, 286, 594, 4547, 596, 1614, 3338, 281, 634, 1101, 3338, 910, 11809, 643, 582, 514, 2313, 6390, 538, 513, 2361, 282, 6271, 3870, 910, 2060, 513, 536, 760, 617, 538, 513, 2361, 282, 12059, 1747, 910, 2142, 525, 538, 8184, 282, 8786, 267, 1256, 513, 3870, 910, 13458, 547, 707, 1072, 2336, 4415, 519, 12614, 540, 6640, 267, 789, 1521, 2933, 547, 30383, 536, 4593, 7057, 538, 519, 1106, 540, 561, 10225, 267, 5305, 2661, 5017, 689, 741, 524, 1137, 883, 519, 3552, 267, 10912, 585, 5614, 269, 634, 1292, 267, 1034, 3742, 267, 5171, 538, 519, 16008, 941, 6690, 543, 1453, 563, 4002, 713, 1554, 267, 2021, 968, 322, 718, 856, 2113, 2280, 5608, 2206, 519, 4583, 5152, 968, 4517, 649, 521, 15735, 2113, 2280, 267, 521, 15735, 621, 6100, 4746, 267, 3025, 4249, 519, 9161, 3014, 968, 1037, 6633, 619, 6100, 0, 2791, 991, 547, 946, 519, 3211, 547, 8207, 5131, 15026, 22843, 6096, 22525, 18014, 602, 519, 1126, 1223, 581, 2348, 269, 1403, 789, 723, 930, 2979, 2042, 267, 789, 666, 946, 519, 9904, 3211, 799, 666, 581, 3177, 538, 519, 4976, 10959, 547, 948, 873, 856, 269, 1879, 596, 616, 1369, 12394, 547, 3391, 873, 519, 15398, 2979, 3211, 602, 616, 4092, 593, 519, 4950, 543, 891, 4359, 2979, 3211, 666, 948, 707, 5067, 610, 8250, 1265, 856, 811, 2979, 1983, 269, 1635, 2324, 1927, 609, 891, 3211, 707, 27344, 786, 723, 513, 1259, 547, 3132, 2979, 1983, 789, 723, 2760, 2944, 1354, 269, 1358, 568, 11338, 2111, 547, 3489, 513, 1745, 585, 519, 1114, 2010, 540, 2979, 789, 666, 960, 609, 269, 901, 949, 948, 873, 547, 723, 519, 2702, 547, 1451, 513, 2603, 18334, 982, 789, 1223, 1510, 9001, 513, 4976, 10959, 563, 8794, 519, 5131, 15026, 22843, 6096, 22525, 18014, 538, 519, 4976, 10959, 786, 849, 1450, 707, 1126, 547, 1020, 741, 6863, 269, 1358, 3580, 849, 723, 6266, 540, 1187, 1210, 891, 3211, 547, 948, 873, 960, 856, 875, 547, 798, 930, 2979, 269, 1635, 7231, 609, 519, 3211, 267, 596, 786, 723, 519, 2702, 547, 1397, 707, 1126, 519, 3017, 1063, 519, 1697, 4267, 543, 519, 4636, 4267, 543, 713, 949, 948, 873, 5818, 741, 2979, 1983, 563, 2467, 616, 1114, 5686, 540, 3211, 602, 616, 2139, 547, 4217, 596, 543, 707, 1126, 1205, 519, 1655, 856, 540, 713, 4976, 10959, 269, 634, 9904, 3211, 616, 1434, 585, 1565, 2979, 2042, 543, 789, 2461, 849, 513, 1434, 1907, 585, 3450, 1453, 2979, 269, 901, 568, 519, 2601, 621, 779, 513, 1434, 2856, 547, 8415, 891, 3211, 585, 707, 1126, 779, 2259, 942, 607, 1134, 269, 0, 2414, 1353, 10017, 267, 621, 779, 5227, 602, 519, 2875, 814, 519, 5759, 547, 7747, 543, 547, 13404, 269, 4033, 1983, 1360, 3730, 538, 713, 1858, 616, 519, 2702, 547, 5659, 543, 547, 30075, 267, 547, 581, 9488, 543, 547, 723, 3007, 547, 1469, 267, 547, 581, 5827, 540, 9266, 7744, 267, 723, 1434, 1377, 540, 6746, 2329, 267, 31007, 2509, 7634, 267, 1719, 585, 3621, 7835, 267, 8404, 2509, 2029, 267, 543, 1719, 538, 519, 1480, 1646, 563, 13010, 267, 1813, 547, 519, 19396, 19662, 602, 10017, 6799, 267, 621, 779, 5227, 547, 723, 1719, 2509, 4974, 1480, 7919, 267, 938, 1514, 2283, 2225, 267, 7207, 547, 1106, 3347, 543, 14375, 3346, 267, 607, 1134, 607, 14375, 2792, 630, 7394, 543, 2854, 1070, 11913, 7744, 543, 26762, 267, 3308, 543, 17391, 3965, 267, 4390, 547, 21907, 267, 8112, 543, 2565, 2631, 563, 11947, 3427, 24547, 5448, 610, 18520, 1153, 26885, 454, 4753, 15709, 281, 645, 272, 1377, 540, 2296, 1893, 0, 30747, 7124, 1849, 1442, 6096, 5131, 269, 5131, 7792, 3211, 585, 9656, 9656, 3211, 616, 513, 8748, 1565, 1907, 585, 7855, 543, 1053, 547, 946, 269, 12096, 3211, 585, 9656, 1863, 25258, 563, 15430, 1041, 9656, 3211, 1863, 22530, 541, 2979, 476, 1015, 7792, 19584, 3872, 8289, 2262, 737, 1342, 657, 18694, 585, 476, 1556, 1655, 9904, 2887, 3610, 332, 698, 635, 4806, 7005, 476, 6110, 2257, 705, 322, 18954, 1297, 476, 736, 3158, 5162, 6266, 540, 993, 1920, 3214, 2596, 2470, 4976, 1913, 543, 6586, 2719, 1164, 4908, 269, 570, 2454, 942, 609, 5283, 20811, 10856, 476, 277, 269, 2311, 519, 9656, 1315, 21200, 1377, 267, 1453, 2253, 547, 1224, 522, 262, 22018, 942, 563, 307, 2454, 5384, 8018, 5131, 15026, 7913, 21584, 25873, 15206, 6096, 4065, 1290, 476, 272, 1805, 6103, 918, 276, 4804, 8571, 634, 24732, 2201, 1849, 1442, 9365, 12338, 1656, 30854, 1280, 476, 28519, 407, 494, 25078, 24220, 15906, 30764, 26969, 28826, 15681, 11644, 6732, 11314, 1323, 11530, 476, 273, 301, 323, 476, 274, 305, 323, 1849, 4169, 9752, 4303, 1677, 28914, 9142, 631, 10248, 3487, 476, 272, 8866, 476, 273, 476, 276, 3687, 1393, 3955, 10094, 2296, 10507, 331, 4107, 3798, 476, 4375, 563, 2414, 948, 873, 267, 519, 3211, 1934, 1683, 2259, 538, 2542, 12746, 23234, 267, 5373, 3946, 547, 6474, 3059, 2053, 267, 543, 12805, 12746, 547, 3059, 2053, 585, 2898, 3108, 269, 20593, 1154, 4559, 540, 942, 630, 344, 8986, 267, 3275, 269, 1403, 596, 616, 3168, 585, 713, 1863, 7792, 9656, 22026, 24920, 267, 596, 666, 10544, 621, 676, 14467, 1934, 563, 2080, 3657, 2368, 5131, 15026, 1849, 1442, 6096, 1280, 8866, 563, 4322, 9219, 3211, 1450, 3214, 547, 2259, 1510, 1022, 3341, 960, 269, 1849, 1442, 4976, 942, 6474, 909, 522, 1018, 521, 519, 476, 273, 3446, 10213, 3211, 1863, 7005, 1965, 331, 585, 547, 476, 272, 560, 3845, 1565, 676, 5662, 3368, 2250, 1554, 543, 22530, 541, 19584, 7792, 3756, 275, 525, 331, 3764, 593, 606, 1387, 4084, 3059, 10145, 8900, 12746, 476, 272, 25258, 7317, 562, 6759, 21119, 4967, 1034, 1118, 513, 2534, 2228, 3635, 476, 275, 269, 634, 3211, 666, 581, 1500, 538, 16814, 610, 7824, 3898, 2443, 1312, 616, 2653, 547, 1820, 563, 292, 548, 1597, 1656, 3828, 10679, 3657, 570, 4459, 344, 10606, 1677, 5457, 1656, 634, 1849, 1442, 5901, 338, 23067, 769, 12430, 11352, 15907, 634, 17781, 6145, 589, 7089, 7412, 6496, 8616, 901, 7412, 2052, 2142, 1530, 523, 7316, 591, 1703, 1772, 589, 563, 3849, 1288, 12408, 8691, 6498, 9511, 2262, 2042, 782, 2979, 3211, 676, 3446, 281, 570, 2454, 942, 17142, 3211, 1554, 6474, 519, 9219, 4976, 2069, 635, 13004, 522, 1863, 7792, 3059, 7824, 2534, 1820, 12574, 1075, 566, 476, 272, 560, 3446, 737, 276, 1565, 2947, 2979, 19584, 9656, 1018, 568, 621, 2228, 3635, 585, 2186, 518, 3068, 547, 2995, 12805, 543, 12746, 23234, 521, 827, 7914, 11034, 3368, 3108, 609, 3756, 4976, 648, 18954, 3954, 2250, 593, 269, 18014, 9656, 3211, 1863, 22530, 541, 2979, 476, 1015, 7792, 19584, 3872, 8289, 2262, 737, 1342, 657, 18694, 585, 476, 1556, 1655, 9904, 2887, 3610, 332, 698, 635, 4806, 7005, 476, 6110, 2257, 705, 322, 18954, 1297, 476, 736, 3158, 5162, 6266, 540, 993, 1920, 3214, 2596, 2470, 4976, 1913, 543, 6586, 2719, 1164, 4908, 563, 307, 2454, 5384, 1656, 5675, 634, 22043, 5384, 563, 10403, 7792, 942, 1644, 3211, 585, 3214, 538, 9251, 9656, 476, 272, 560, 543, 476, 273, 526, 9344, 543, 4470, 593, 707, 1126, 521, 5759, 891, 7792, 9219, 3211, 666, 581, 1031, 3927, 585, 1353, 693, 1753, 543, 547, 1451, 547, 1224, 519, 942, 5265, 269, 1280, 713, 9656, 2979, 4976, 267, 3214, 2285, 5283, 20811, 10856, 513, 1688, 10213, 942, 269, 634, 1126, 779, 4305, 568, 10213, 942, 543, 1603, 519, 2953, 942, 563, 10403, 15026, 6096, 1280, 15206 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3803, 8670, 269, 4635, 513, 5230, 1532, 2714, 15701, 3443, 2733, 2373, 3002, 14961, 267, 4227, 519, 1981, 540, 1085, 528, 4221, 780, 276, 269, 18734, 519, 694, 1563, 979, 846, 28244, 5196, 513, 5911, 24646, 1305, 3330, 513, 26079, 4364, 11256, 6656, 269, 14190, 532, 2011, 10009, 1472, 519, 5779, 8992, 1256, 8022, 543, 11151, 521, 17344, 1465, 1813, 547, 16290, 9252, 269, 4746, 267, 16889, 519, 5779, 20114, 14998, 519, 2627, 547, 3579, 5594, 267, 799, 2417, 7512, 536, 20621, 1282, 11256, 780, 277, 269, 9255, 519, 5423, 979, 846, 28244, 538, 519, 840, 515, 730, 14089, 543, 3434, 585, 827, 476, 736, 268, 1839, 3764, 585, 5420, 268, 571, 516, 1810, 8864, 630, 514, 4156, 2837, 10301, 476, 9873, 13790, 268, 13670, 13790, 270, 7918, 9180, 268, 6872, 9180, 264, 950, 6027, 693, 5394, 652, 1448, 2282, 519, 5642, 269, 17797, 519, 12557, 4470, 593, 5551, 4110, 540, 1810, 8864, 1107, 476, 13970, 13790, 630, 8287, 9180, 264, 585, 5420, 610, 476, 5611, 13790, 630, 4792, 9180, 264, 585, 1134, 2944, 269, 30799, 538, 513, 3059, 8216, 22345, 26282, 3217, 856, 7058, 1740, 543, 18715, 8856, 780, 278, 269, 17179, 519, 11273, 979, 846, 28244, 689, 519, 14089, 543, 17895, 29101, 609, 11956, 23240, 269, 10163, 532, 13071, 23238, 23799, 25572, 2429, 519, 5779, 11103, 267, 4180, 5848, 543, 13035, 21100, 269, 5047, 267, 15895, 3002, 5170, 547, 6318, 4835, 5210, 676, 1776, 476, 276, 13790, 268, 1015, 13790, 630, 274, 9180, 268, 276, 9180, 1070, 8757, 4998, 7674, 1661, 1186, 780, 279, 269, 6215, 823, 1996, 519, 10286, 883, 6094, 4773, 543, 4196, 3636, 269, 28981, 2066, 519, 4887, 11103, 2110, 839, 741, 3259, 267, 1818, 1169, 11116, 4443, 547, 25261, 269, 31160, 7258, 707, 5172, 2427, 8286, 267, 971, 607, 3597, 5388, 267, 12277, 267, 610, 19997, 16719, 269, 17949, 707, 9985, 19323, 979, 846, 6089, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9213, 267, 649, 2461, 11362, 883, 513, 1888, 602, 666, 581, 14845, 585, 1256, 519, 1034, 4810, 1753, 22730, 281, 519, 3017, 1063, 27106, 543, 2156, 559, 269, 2755, 891, 1079, 5986, 2409, 1522, 3100, 2147, 267, 789, 3132, 1360, 1114, 2164, 269, 769, 713, 2022, 267, 649, 3580, 2263, 519, 16082, 540, 1142, 1505, 267, 950, 547, 946, 873, 267, 543, 930, 4388, 585, 3478, 519, 1655, 2164, 2009, 269, 6787, 596, 2461, 513, 19444, 538, 519, 10051, 610, 1175, 3168, 547, 909, 707, 5986, 3014, 267, 713, 3391, 568, 585, 596, 269, 1924, 10544, 707, 3284, 1258, 267, 543, 1577, 779, 1205, 3323, 2336, 1432, 568, 645, 820, 888, 22873, 6053, 267, 594, 729, 19531, 730, 676, 782, 519, 2930, 2474, 543, 5730, 7403, 3238, 538, 11256, 269, 1717, 267, 607, 594, 1642, 1386, 4514, 267, 594, 7691, 621, 779, 711, 607, 7294, 607, 621, 4667, 269, 4653, 267, 594, 6557, 2469, 547, 2491, 1018, 11256, 568, 543, 1946, 621, 779, 1831, 971, 513, 6612, 540, 9553, 563, 289, 1136, 568, 5986, 1426, 609, 3819, 3002, 267, 3335, 538, 606, 14089, 269, 898, 3322, 9256, 5820, 538, 1808, 5666, 543, 1287, 1641, 532, 873, 547, 513, 1978, 2837, 585, 513, 1978, 2179, 540, 942, 269, 645, 1136, 666, 1118, 8949, 512, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 294, 5366, 23213, 10162, 8463, 257, 607, 851, 540, 834, 23733, 1315, 16930, 23123, 1315, 10794, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 3848, 7170, 281, 11814, 1043, 9315, 10632, 630, 6717, 19199, 2567, 589, 8342, 10158, 547, 7591, 543, 11814, 2439, 5970, 596, 2479, 4862, 540, 2445, 1043, 3556, 3756, 267, 849, 1634, 607, 16671, 19199, 286, 1452, 2010, 540, 3756, 4125, 10655, 9467, 6486, 602, 723, 2189, 5961, 267, 3197, 267, 5759, 267, 543, 811, 256, 1411, 946, 891, 6486, 547, 1404, 1996, 824, 1004, 945, 849, 2445, 543, 1404, 609, 741, 1378, 5036, 540, 6486, 269, 2290, 2442, 1383, 540, 513, 16671, 294, 568, 1572, 623, 758, 2946, 3000, 269, 2913, 781, 4685, 4514, 883, 713, 4241, 1158, 2439, 5331, 6679, 909, 513, 6216, 1007, 26259, 3640, 4904, 609, 9814, 6486, 7996, 547, 581, 4362, 269, 3962, 3640, 2356, 814, 1896, 6486, 3330, 267, 855, 596, 2760, 917, 4010, 799, 3283, 596, 786, 1205, 2394, 596, 1930, 621, 269, 898, 779, 899, 7938, 571, 6137, 513, 14512, 10516, 1107, 972, 781, 2141, 10761, 543, 7279, 827, 1018, 1522, 581, 6456, 3330, 256, 1280, 3236, 267, 519, 968, 303, 5803, 3000, 9315, 2473, 312, 4425, 8803, 3487, 476, 277, 9622, 12245, 16505, 892, 649, 5018, 4505, 2501, 609, 476, 736, 24502, 538, 513, 4216, 267, 543, 1142, 3640, 6585, 476, 276, 6486, 269, 2334, 1797, 596, 1131, 4309, 513, 2698, 540, 476, 1911, 6486, 950, 596, 4444, 835, 540, 1346, 10833, 2439, 3086, 267, 1577, 781, 2911, 827, 875, 547, 2965, 1404, 1210, 707, 6394, 6486, 269, 4107, 16671, 19199, 1246, 513, 2147, 2497, 1141, 5716, 1491, 7140, 4730, 6486, 543, 7900, 3527, 1759, 593, 741, 3601, 269, 2368, 6486, 2099, 3532, 7068, 267, 1247, 1866, 1683, 2200, 610, 2027, 2360, 269, 2659, 3804, 568, 547, 21825, 2569, 707, 18545, 781, 2798, 267, 1419, 5219, 547, 607, 834, 5158, 2437, 547, 4642, 1354, 789, 798, 519, 1482, 547, 596, 269, 4635, 1134, 268, 2288, 339, 13050, 2994, 543, 15931, 10659, 540, 6486, 666, 1291, 596, 547, 11802, 2439, 2026, 596, 3136, 4730, 543, 9750, 707, 4015, 267, 596, 949, 2097, 2066, 4686, 6486, 10023, 12600, 11247, 610, 9058, 7060, 269, 15531, 891, 21889, 8591, 1776, 4494, 540, 1187, 543, 22920, 547, 519, 3014, 269, 3509, 12439, 2972, 6029, 1055, 741, 10070, 693, 2199, 2621, 267, 2228, 2950, 267, 610, 1256, 1175, 1851, 2828, 1282, 12424, 269, 5457, 938, 1383, 286, 634, 968, 303, 5803, 3000, 9315, 2473, 312, 4425, 8803, 3487, 476, 277, 9622, 12245, 16505, 892, 2882, 1101, 7160, 5545, 6486, 267, 1818, 873, 3063, 3407, 543, 8179, 1310, 676, 11655, 780, 1103, 5758, 267, 2445, 1043, 3556, 3756, 2709, 11995, 3255, 585, 5876, 267, 4640, 267, 543, 1514, 5872, 269, 1358, 1450, 596, 547, 1628, 4296, 609, 8284, 19216, 543, 15712, 7567, 267, 782, 1247, 2348, 513, 19046, 3695, 1007, 10600, 998, 18991, 2966, 6486, 269, 6787, 596, 1376, 609, 623, 758, 2946, 3000, 610, 14679, 856, 547, 3605, 824, 9735, 16671, 19199, 267, 3314, 602, 519, 1034, 1271, 3364, 568, 547, 723, 1187, 543, 9784, 519, 3460, 540, 1565, 543, 3395, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 5803, 3000, 9315, 2473, 312, 4425, 8803, 3487, 476, 277, 9622, 12245, 16505, 1530, 4705, 13340, 2473, 312, 277, 476, 272, 560, 9990, 5545, 269, 901, 6221, 729, 14475, 676, 634, 623, 5803, 3000, 7577, 543, 5950, 593, 476, 1691, 4728, 476, 1001, 276, 7868, 2783, 568, 12051, 20177, 543, 20511, 269, 1703, 616, 476, 736, 24502, 538, 513, 4216, 543, 1142, 3640, 3568, 476, 276, 6486, 269, 901, 568, 519, 15795, 7269, 540, 623, 5803, 3000, 9315, 2473, 312, 3126, 538, 3567, 269, 22490, 547, 581, 6976, 1369, 476, 278, 2395, 269, 4139, 16179, 619, 910, 7490, 8074, 563, 2171, 798, 711, 1665, 25584, 2418, 2630, 1871, 610, 1665, 3688, 607, 834, 326, 22284, 257, 910, 3567, 543, 4139, 2229, 6042, 10238, 527, 971, 2623, 269, 1403, 596, 723, 1022, 2243, 267, 1745, 1863, 547, 3346, 803, 269, 634, 6221, 834, 303, 5803, 3000, 9315, 2473, 312, 4425, 8803, 3487, 476, 277, 9622, 12245, 16505, 1530, 4705, 13340, 2473, 312, 277, 476, 272, 560, 9990, 5545, 257, 568, 538, 9042, 2094, 13628, 267, 5181, 476, 2190, 267, 476, 1708, 271, 269, 901, 6221, 568, 538, 519, 7121, 834, 2414, 903, 1299, 20122, 9812, 315, 8624, 937, 1043, 9315, 10632, 315, 6717, 294, 1530, 4705, 4425, 8803, 623, 2931, 2668, 634, 22673, 568, 834, 335, 8432, 318, 1911, 257, 543, 568, 4092, 538, 20855, 698, 11867, 20136, 6221, 666, 581, 25855, 5001, 907, 5016, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8624, 937, 1043, 9315, 10632, 630, 6717, 19199, 17983, 607, 851, 540, 834, 16300, 13493, 1315, 10632, 1299, 11242, 1315, 9315, 10632, 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, 11470, 998, 519, 30776, 540, 14886, 1222, 543, 674, 1066, 12562, 692, 296, 269, 4985, 692, 1103, 4207, 3332, 267, 519, 4798, 540, 11505, 543, 535, 1066, 12562, 723, 1831, 5051, 11342, 267, 3226, 1369, 519, 7706, 540, 1762, 2937, 630, 312, 288, 264, 5708, 269, 1452, 3347, 2709, 3638, 2666, 585, 3695, 1950, 3929, 6384, 267, 3961, 5250, 267, 543, 2123, 2208, 269, 3414, 7421, 891, 3347, 538, 1568, 540, 5708, 267, 3988, 666, 2744, 3407, 4030, 883, 741, 1378, 14375, 2833, 543, 6330, 519, 14960, 540, 1514, 5872, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 7184, 883, 519, 1523, 540, 14070, 11269, 540, 11505, 543, 535, 1066, 12562, 676, 6313, 12540, 582, 26858, 779, 962, 288, 3209, 968, 2171, 17214, 898, 2353, 5455, 1848, 1635, 632, 24554, 532, 519, 3197, 267, 4729, 1646, 267, 543, 21044, 2609, 1459, 538, 519, 1433, 267, 649, 2832, 547, 6536, 2565, 3206, 1983, 267, 3986, 6568, 267, 543, 3895, 1582, 26190, 1851, 2852, 1053, 780, 2862, 269, 634, 10417, 540, 14886, 1222, 538, 9085, 692, 293, 12188, 4721, 1404, 513, 1713, 1909, 538, 5935, 938, 9163, 543, 12018, 938, 2623, 2429, 1585, 5933, 540, 1272, 269, 10738, 5339, 8658, 267, 17052, 1683, 3255, 585, 1915, 1646, 267, 4655, 6571, 267, 543, 3838, 13438, 269, 22718, 875, 4589, 4020, 543, 6813, 17052, 2636, 721, 547, 4983, 1114, 5380, 543, 11349, 513, 1732, 1620, 540, 1480, 4296, 780, 288, 269, 10886, 1436, 540, 14886, 692, 272, 269, 32655, 23800, 281, 19171, 2828, 1419, 2671, 1455, 10080, 267, 4690, 267, 610, 2418, 602, 3565, 547, 741, 6125, 269, 6333, 875, 22966, 652, 324, 19161, 7322, 779, 15032, 693, 1200, 1007, 1153, 3310, 1200, 8226, 540, 9887, 543, 1200, 10450, 269, 1215, 1281, 1352, 1106, 4296, 1759, 593, 3838, 2833, 888, 273, 269, 22226, 3004, 1080, 281, 16992, 949, 581, 6537, 1927, 1813, 547, 14911, 7209, 7592, 610, 2147, 2191, 14613, 269, 31385, 519, 2081, 538, 799, 3413, 514, 885, 1063, 2043, 7520, 2078, 2679, 269, 1280, 3236, 267, 5659, 875, 22966, 652, 324, 3029, 4296, 609, 1978, 9905, 5103, 4743, 899, 606, 16080, 3187, 7620, 563, 274, 269, 18366, 22375, 281, 2598, 698, 872, 906, 1063, 2828, 666, 1291, 547, 2123, 2208, 950, 17251, 3927, 269, 25826, 8320, 1141, 7526, 8451, 1063, 3197, 267, 6236, 2188, 7700, 547, 3811, 21368, 8957, 796, 637, 9407, 13253, 780, 289, 269, 4886, 540, 14886, 4721, 3683, 5384, 692, 272, 269, 19725, 281, 10576, 1883, 8090, 538, 519, 1650, 1467, 1282, 799, 1007, 17052, 10836, 269, 1548, 6381, 5512, 891, 7554, 547, 1491, 3597, 286, 3657, 972, 1022, 3270, 538, 875, 3197, 20006, 17052, 888, 273, 269, 12472, 281, 1306, 3347, 3356, 267, 789, 6923, 10929, 2242, 6766, 676, 5007, 2621, 543, 4835, 14759, 269, 21414, 875, 3964, 17052, 11457, 2429, 519, 2239, 267, 2921, 4063, 540, 11358, 795, 9417, 999, 602, 7794, 610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6857, 6800, 780, 1103, 3932, 267, 4584, 548, 1490, 710, 6763, 607, 15266, 547, 519, 13710, 1379, 540, 18829, 543, 4584, 1782, 3157, 267, 11744, 602, 1100, 3693, 540, 519, 11477, 1995, 991, 581, 15763, 610, 896, 1998, 4240, 269, 3414, 6297, 6514, 540, 922, 25499, 3334, 267, 3140, 4644, 267, 543, 16221, 3096, 267, 649, 2744, 5813, 883, 519, 6626, 2796, 540, 2518, 1426, 1949, 543, 1451, 547, 5660, 519, 25872, 540, 782, 3344, 540, 8819, 1258, 5669, 2528, 269, 6787, 18611, 607, 513, 1797, 540, 4227, 2825, 1764, 267, 15386, 5876, 267, 610, 3274, 7393, 3232, 6980, 267, 4584, 548, 1490, 710, 19674, 607, 513, 4105, 6345, 538, 2221, 781, 2479, 21608, 11477, 5251, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5575, 6733, 281, 12866, 10060, 2549, 523, 885, 1133, 557, 6150, 693, 24090, 10753, 30835, 267, 519, 19866, 9473, 334, 23586, 540, 20122, 7505, 267, 27359, 779, 24090, 29968, 2679, 563, 310, 16093, 10753, 30835, 267, 519, 8978, 598, 4777, 7503, 540, 519, 1340, 539, 24090, 10753, 30835, 2679, 538, 20122, 7505, 267, 27359, 267, 814, 13166, 30792, 922, 476, 1691, 267, 6110, 4009, 3952, 540, 1158, 11665, 11255, 543, 9205, 29319, 267, 11264, 835, 540, 519, 1034, 2189, 6197, 3255, 1336, 593, 1715, 14948, 779, 23747, 5211, 7108, 11076, 269, 634, 536, 719, 1664, 10189, 540, 18883, 543, 1862, 634, 2022, 3689, 6733, 281, 12866, 10060, 2549, 523, 885, 1133, 557, 6150, 693, 24090, 10753, 30835, 267, 519, 19866, 9473, 334, 23586, 540, 20122, 7505, 267, 27359, 779, 24090, 29968, 2679, 269, 7902, 1101, 593, 7464, 24529, 28315, 269, 24090, 10753, 30835, 267, 519, 8978, 598, 4777, 7503, 540, 519, 1340, 539, 24090, 10753, 30835, 2679, 538, 20122, 7505, 267, 27359, 267, 814, 13166, 30792, 922, 476, 1691, 267, 6110, 4009, 3952, 540, 1158, 11665, 11255, 543, 9205, 29319, 267, 11264, 835, 540, 519, 1034, 2189, 6197, 3255, 1336, 593, 1715, 14948, 779, 23747, 5211, 7108, 11076, 269, 634, 536, 719, 1664, 10189, 540, 18883, 543, 1514, 5624, 267, 4274, 569, 2966, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 1157, 548, 5696, 710, 257, 607, 851, 540, 834, 23733, 1315, 16930, 23123, 1315, 4173, 2125, 267, 1975, 1182, 267, 9473, 9323, 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, 769, 519, 7706, 540, 9423, 543, 3308, 6575, 267, 14676, 543, 8642, 9089, 19582, 513, 2189, 2230, 602, 10905, 3532, 11052, 609, 2502, 6386, 269, 901, 1770, 786, 5490, 883, 519, 4241, 1158, 540, 14810, 14676, 543, 8642, 9089, 267, 2519, 4481, 593, 22645, 267, 26704, 7068, 267, 543, 29631, 2847, 10102, 269, 3414, 2673, 6514, 540, 891, 2609, 267, 596, 786, 2744, 513, 4514, 7071, 585, 519, 1148, 1106, 1247, 849, 7393, 707, 2565, 3206, 1983, 780, 1262, 293, 656, 6470, 22383, 543, 18753, 26358, 5093, 2311, 922, 4295, 267, 14810, 568, 513, 9135, 6353, 676, 19511, 543, 9058, 5468, 267, 3197, 267, 543, 2621, 269, 1879, 4294, 547, 14676, 543, 8642, 9089, 267, 14810, 2636, 15888, 547, 7903, 519, 6302, 540, 1018, 568, 2009, 1369, 2757, 2239, 10850, 269, 1635, 16471, 28531, 10600, 609, 18615, 1148, 267, 4589, 666, 4739, 15138, 2833, 602, 25407, 3988, 543, 3560, 873, 547, 1007, 7516, 780, 1262, 291, 4048, 976, 543, 19088, 673, 6282, 999, 5093, 6239, 547, 1082, 14810, 2984, 616, 22645, 543, 26704, 7068, 1765, 2041, 902, 1419, 28093, 4240, 609, 9589, 7060, 543, 14869, 539, 538, 561, 648, 269, 1452, 9988, 4196, 3309, 3252, 1369, 6386, 267, 8151, 689, 12194, 727, 10779, 2456, 547, 8797, 23003, 269, 24167, 875, 5159, 11617, 2099, 971, 7919, 3091, 3407, 4030, 883, 741, 13513, 543, 2686, 4644, 269, 5015, 267, 4974, 15743, 543, 26704, 13442, 1374, 666, 8300, 5876, 543, 5647, 950, 3384, 3312, 3197, 780, 1262, 300, 2814, 1670, 4860, 10102, 5093, 589, 2442, 7678, 538, 4207, 14810, 14676, 3322, 556, 19960, 1456, 5929, 7242, 3098, 998, 2413, 7828, 269, 6270, 14624, 1683, 4195, 5380, 593, 3504, 8941, 1247, 8195, 8497, 1898, 3344, 540, 741, 2707, 1570, 269, 15766, 908, 891, 1427, 32478, 7512, 721, 547, 2992, 2390, 519, 11972, 9029, 540, 1978, 18840, 18196, 543, 18305, 2066, 942, 5712, 543, 4529, 269, 3958, 267, 7421, 7648, 1063, 1114, 12496, 11942, 2565, 3206, 5759, 780, 1262, 19111, 5530, 281, 25930, 584, 781, 19835, 476, 274, 5675, 15232, 12533, 2414, 9414, 930, 540, 519, 1883, 2035, 5941, 2429, 713, 1770, 267, 1577, 781, 2263, 519, 1603, 1995, 3297, 25930, 584, 781, 19835, 476, 274, 12544, 3810, 17191, 1909, 25178, 532, 3381, 3014, 2919, 676, 700, 4115, 2289, 3930, 269, 2755, 711, 14553, 513, 13371, 610, 8642, 3209, 267, 25930, 584, 781, 19835, 476, 274, 8843, 3875, 10486, 609, 891, 23447, 267, 1519, 922, 8561, 593, 3308, 9423, 267, 1158, 20671, 267, 543, 1950, 1915, 3347, 780, 1103, 519, 2796, 540, 938, 1459, 4901, 267, 1896, 3344, 540, 519, 5856, 781, 1995, 1796, 856, 1384, 272, 269, 2878, 3412, 11302, 542, 4995, 1677, 3927, 3565, 547, 519, 3014, 781, 7097, 267, 519, 5856, 2877, 547, 4628, 10110, 2933, 538, 519, 3638, 7122, 540, 25930, 584, 781, 19835, 267, 799, 568, 1759, 593, 519, 1280, 326, 13516, 7464, 916, 5859, 4259, 689, 14480, 613, 976, 1299, 28463, 976, 269, 12056, 609, 4540, 2326, 27137, 607, 530, 1731, 529, 543, 3105, 3756, 1765, 2889, 1386, 2629, 585, 11543, 23440, 609, 519, 6946, 3877, 602, 5581, 713, 27763, 1158, 269, 6684, 267, 950, 2324, 593, 513, 13371, 610, 8642, 3209, 1788, 267, 9488, 1382, 5849, 11007, 543, 13597, 563, 273, 269, 2878, 23322, 20429, 4995, 12650, 1005, 519, 3982, 9739, 540, 3964, 3197, 13514, 1776, 4161, 585, 5830, 10024, 840, 1410, 12371, 5203, 525, 899, 25930, 584, 781, 19835, 269, 28552, 13147, 10107, 1585, 6163, 543, 18565, 666, 948, 24917, 713, 5578, 267, 1818, 621, 4443, 547, 17277, 883, 519, 10887, 540, 11537, 5515, 269, 5047, 267, 17634, 609, 5188, 543, 6418, 1395, 860, 1132, 6087, 5830, 547, 10646, 1367, 14789, 1369, 26254, 5641, 338, 563, 274, 269, 2878, 32156, 18169, 4995, 3955, 13808, 6013, 693, 519, 2295, 540, 11080, 2833, 282, 3976, 267, 3246, 5716, 609, 6209, 5079, 3648, 5222, 741, 6278, 269, 16792, 713, 1523, 547, 14676, 543, 8642, 9089, 1522, 4125, 6220, 4839, 4221, 6386, 610, 5356, 4244, 4093, 1759, 593, 5467, 3664, 269, 17859, 540, 3898, 267, 16779, 9458, 10240, 9094, 5092, 538, 519, 1650, 1467, 543, 2620, 839, 3929, 4296, 609, 14070, 3197, 563, 275, 269, 2878, 6597, 3539, 10886, 29568, 4995, 9866, 6326, 875, 3197, 2170, 1369, 25930, 584, 781, 19835, 476, 274, 4847, 519, 5856, 547, 29742, 5813, 883, 2078, 6384, 543, 1514, 25327, 269, 16792, 713, 1702, 547, 835, 781, 1378, 960, 14122, 6297, 7156, 540, 1379, 3889, 267, 24816, 267, 543, 15180, 1845, 1851, 2813, 9988, 269, 1306, 5145, 1782, 1134, 25454, 5641, 338, 20217, 3988, 547, 1902, 14156, 538, 14375, 7526, 543, 8207, 21140, 7258, 23233, 780, 3528, 3695, 519, 19320, 1063, 14810, 14676, 17320, 1429, 545, 9089, 543, 25930, 584, 781, 19835, 476, 274, 267, 649, 10625, 4483, 762, 4245, 10858, 547, 1312, 4610, 269, 5548, 1324, 883, 21599, 2553, 267, 1915, 1646, 2994, 267, 7317, 9423, 4485, 267, 543, 22423, 2853, 28382, 14971, 5830, 609, 3407, 2645, 585, 2870, 8903, 1568, 540, 5708, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 296, 1185, 519, 2487, 1434, 19539, 547, 2244, 513, 1603, 17254, 693, 700, 4115, 2289, 3930, 563, 7069, 1345, 543, 513, 1906, 824, 5830, 941, 21821, 539, 547, 1711, 10207, 543, 5188, 585, 519, 14232, 25930, 584, 781, 19835, 476, 274, 3014, 630, 7224, 27253, 619, 1934, 256, 1916, 7212, 594, 723, 17028, 832, 538, 1603, 267, 2348, 3370, 21075, 543, 4930, 585, 513, 19619, 540, 3549, 910, 711, 547, 2446, 1250, 1378, 1313, 327, 1681, 3646, 910, 713, 729, 1250, 1101, 585, 599, 538, 3014, 1603, 563, 763, 25930, 584, 781, 19835, 29929, 910, 1305, 538, 519, 1280, 326, 13516, 7464, 916, 267, 14480, 613, 976, 543, 28463, 976, 5859, 4259, 910, 568, 513, 5318, 1158, 609, 2789, 14810, 543, 26704, 7068, 689, 979, 4565, 1231, 547, 522, 326, 637, 269, 634, 3638, 13795, 540, 3197, 267, 4654, 267, 543, 1686, 568, 7604, 1078, 538, 519, 1585, 530, 1731, 529, 6131, 547, 667, 22936, 563, 2467, 568, 513, 7372, 10178, 19668, 543, 519, 4161, 585, 803, 910, 607, 2576, 945, 729, 14542, 609, 519, 1158, 910, 729, 547, 23365, 8885, 538, 621, 267, 543, 7001, 519, 5639, 540, 519, 3197, 269, 11109, 606, 4434, 5299, 540, 25930, 584, 781, 19835, 476, 274, 5280, 267, 3850, 803, 547, 1404, 1585, 5107, 543, 1353, 519, 1915, 4205, 267, 543, 6345, 3681, 799, 1131, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 300, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 26135, 1315, 28463, 976, 1299, 19088, 673, 6282, 999, 1315, 19088, 1670, 4860, 10102, 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, 634, 10020, 540, 519, 772, 2529, 269, 1530, 15247, 543, 16510, 8189, 630, 306, 4488, 264, 538, 27986, 7767, 832, 543, 26472, 13317, 19725, 281, 589, 10312, 593, 9540, 24371, 543, 5845, 20395, 545, 15557, 692, 296, 269, 4985, 454, 288, 269, 11137, 540, 519, 22444, 543, 922, 17030, 454, 289, 269, 11957, 540, 519, 22444, 781, 1909, 538, 15725, 19736, 6990, 454, 290, 269, 17583, 1063, 1507, 4213, 267, 24960, 545, 3401, 267, 543, 519, 22444, 454, 291, 269, 7351, 12367, 538, 1530, 15247, 19938, 692, 2862, 269, 3778, 540, 519, 22444, 454, 288, 269, 19372, 618, 540, 519, 22444, 1282, 519, 4279, 12870, 454, 289, 269, 12472, 540, 519, 22444, 781, 9431, 6392, 454, 290, 269, 8092, 5658, 2665, 543, 15424, 2242, 18363, 519, 22444, 692, 7656, 269, 4437, 13132, 540, 12815, 543, 10558, 22444, 17348, 11825, 976, 454, 288, 269, 9478, 623, 269, 17394, 29447, 1421, 3689, 30626, 540, 519, 22444, 454, 289, 269, 6307, 700, 269, 5576, 777, 10098, 267, 3689, 21058, 30626, 540, 519, 22444, 454, 290, 269, 20289, 22110, 2023, 267, 10765, 30626, 540, 519, 22444, 454, 291, 269, 7351, 2920, 532, 30626, 2353, 2581, 4173, 1066, 10557, 454, 292, 269, 5811, 540, 741, 7418, 547, 519, 22444, 781, 5692, 692, 4353, 269, 27986, 7767, 832, 998, 2598, 26918, 21976, 454, 288, 269, 11137, 540, 14261, 4170, 585, 1857, 3549, 454, 289, 269, 11038, 3948, 8989, 4170, 454, 290, 269, 6184, 3187, 9467, 6042, 454, 291, 269, 2037, 7593, 3527, 1996, 30081, 2238, 454, 292, 269, 8177, 540, 20090, 4027, 3800, 593, 2344, 4398, 454, 293, 269, 7464, 8996, 1383, 281, 12672, 773, 8496, 4752, 781, 623, 517, 17844, 30868, 692, 309, 269, 11120, 22626, 13317, 19725, 585, 9540, 24371, 454, 288, 269, 9502, 543, 2956, 540, 1507, 4213, 538, 519, 2475, 4346, 454, 289, 269, 27943, 7496, 5185, 676, 1507, 4213, 5275, 3854, 454, 290, 269, 11137, 540, 22444, 3292, 5885, 1507, 1870, 14104, 454, 328, 269, 9540, 6355, 16743, 3194, 5358, 630, 306, 289, 7644, 994, 4512, 269, 30180, 11034, 3776, 6355, 3399, 5725, 2920, 630, 297, 302, 7034, 994, 13839, 269, 7170, 10001, 1107, 19938, 589, 266, 5356, 608, 18277, 454, 643, 269, 18844, 4206, 27448, 14074, 896, 7170, 8633, 540, 519, 808, 302, 7034, 2920, 454, 341, 269, 6452, 1042, 1243, 20090 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]